diff --git a/src/point_add/arith/adder.rs b/src/point_add/arith/adder.rs index c9b4b6e9..11f18de7 100644 --- a/src/point_add/arith/adder.rs +++ b/src/point_add/arith/adder.rs @@ -1,7 +1,7 @@ use super::*; pub(crate) fn bit(c: U256, i: usize) -> bool { - + // alloy's U256::bit returns bool for index < 256. c.bit(i) } @@ -17,6 +17,9 @@ pub(crate) fn uma(b: &mut B, x: QubitId, y: QubitId, w: QubitId) { b.cx(x, y); } +/// Fast Cuccaro add using carry ancillae + measurement-based UMA. +/// Same interface as `cuccaro_add` but uses n-1 carry ancillae so the +/// UMA sweep costs 0 Toffoli (measurement only). NOT emit_inverse-safe. pub(crate) fn cuccaro_add_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: QubitId) { let n = a.len(); assert_eq!(n, acc.len()); @@ -31,11 +34,13 @@ pub(crate) fn cuccaro_add_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: let carries = b.alloc_qubits(n - 1); + // Forward MAJ sweep with carry ancillae. + // Step 0: MAJ(c_in, acc[0], a[0]) → carry into carries[0] b.cx(a[0], acc[0]); b.cx(a[0], c_in); b.ccx(c_in, acc[0], carries[0]); b.cx(carries[0], a[0]); - + // Steps 1..n-2: MAJ(a[i-1], acc[i], a[i]) → carry into carries[i] for i in 1..n - 1 { b.cx(a[i], acc[i]); b.cx(a[i], a[i - 1]); @@ -43,9 +48,11 @@ pub(crate) fn cuccaro_add_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: b.cx(carries[i], a[i]); } + // Final sum bit (same as original cuccaro_add) b.cx(a[n - 2], acc[n - 1]); b.cx(a[n - 1], acc[n - 1]); + // Backward UMA sweep with measurement-based carry uncompute (0 Toffoli). for i in (1..n - 1).rev() { b.cx(carries[i], a[i]); let m = b.alloc_bit(); @@ -54,7 +61,7 @@ pub(crate) fn cuccaro_add_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: b.cx(a[i], a[i - 1]); b.cx(a[i - 1], acc[i]); } - + // Step 0 UMA: b.cx(carries[0], a[0]); let m0 = b.alloc_bit(); b.hmr(carries[0], m0); @@ -65,6 +72,9 @@ pub(crate) fn cuccaro_add_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: b.free_vec(&carries); } +/// Same arithmetic as `cuccaro_add_fast`, but the carry lane is supplied by the +/// caller and must be clean on entry. The HMR uncompute returns it to zero, so +/// Kaliski step4 can reuse clean high `tmp` lanes without increasing peak Q. pub(crate) fn cuccaro_add_fast_borrowed_carries( b: &mut B, a: &[QubitId], @@ -114,122 +124,12 @@ pub(crate) fn cuccaro_add_fast_borrowed_carries( b.cx(c_in, acc[0]); } -/// UMA specialized for a `w` operand bit that is provably |0> at entry (M023). -/// -/// The plain `uma(x, y, w) = ccx(x,y,w); cx(w,x); cx(x,y)` uncomputes a target that, -/// for a zero-entry operand, holds exactly `AND(x, y)` (the carry the matching `maj` -/// ANDed into a fresh |0>). Its Toffoli can therefore be replaced with the shipped -/// measurement-based AND-uncompute idiom (`hmr` + `cz_if`, identical to the one used in -/// `cuccaro_add_fast` above), removing one CCX per site, bit-exactly. `cx(w,x)` is a -/// no-op because `w` is |0> after the measured clear, so only the trailing `cx(x,y)` -/// survives. -pub(crate) fn uma_from_zero(b: &mut B, x: QubitId, y: QubitId, w: QubitId) { - let m = b.alloc_bit(); - b.hmr(w, m); - b.cz_if(x, y, m); - b.cx(x, y); -} - -/// inv-MAJ specialized for a `w` operand bit that is provably |0> at entry (M023). -/// -/// Mirror of `uma_from_zero` for the subtract chain: the plain -/// `inv_maj(x, y, w) = ccx(x,y,w); cx(w,x); cx(w,y)` uncomputes `w = AND(x, y)`; both -/// trailing CXs are no-ops once `w` is cleared, so the whole gate reduces to the measured -/// AND-uncompute. -pub(crate) fn inv_maj_from_zero(b: &mut B, x: QubitId, y: QubitId, w: QubitId) { - let m = b.alloc_bit(); - b.hmr(w, m); - b.cz_if(x, y, m); -} - -/// `cuccaro_add` variant that routes the UMA uncompute of every provably-|0> operand bit -/// (`zero[i] == true`) through `uma_from_zero`. With an all-false mask this is byte-identical -/// to `cuccaro_add`. -pub(crate) fn cuccaro_add_from_zero( - b: &mut B, - a: &[QubitId], - acc: &[QubitId], - c_in: QubitId, - zero: &[bool], -) { - let n = a.len(); - assert_eq!(n, acc.len()); - assert_eq!(n, zero.len()); - if n == 0 { - return; - } - if n == 1 { - b.cx(c_in, acc[0]); - b.cx(a[0], acc[0]); - return; - } - - maj(b, c_in, acc[0], a[0]); - for i in 1..n - 1 { - maj(b, a[i - 1], acc[i], a[i]); - } - - b.cx(a[n - 2], acc[n - 1]); - b.cx(a[n - 1], acc[n - 1]); - - for i in (1..n - 1).rev() { - if zero[i] { - uma_from_zero(b, a[i - 1], acc[i], a[i]); - } else { - uma(b, a[i - 1], acc[i], a[i]); - } - } - if zero[0] { - uma_from_zero(b, c_in, acc[0], a[0]); - } else { - uma(b, c_in, acc[0], a[0]); - } -} - -/// `cuccaro_sub` variant that routes the inv-MAJ uncompute of every provably-|0> operand bit -/// (`zero[i] == true`) through `inv_maj_from_zero`. With an all-false mask this is -/// byte-identical to `cuccaro_sub`. -pub(crate) fn cuccaro_sub_from_zero( - b: &mut B, - a: &[QubitId], - acc: &[QubitId], - c_in: QubitId, - zero: &[bool], -) { - let n = a.len(); - assert_eq!(n, acc.len()); - assert_eq!(n, zero.len()); - if n == 0 { - return; - } - if n == 1 { - b.cx(a[0], acc[0]); - b.cx(c_in, acc[0]); - return; - } - - inv_uma(b, c_in, acc[0], a[0]); - for i in 1..n - 1 { - inv_uma(b, a[i - 1], acc[i], a[i]); - } - - b.cx(a[n - 1], acc[n - 1]); - b.cx(a[n - 2], acc[n - 1]); - - for i in (1..n - 1).rev() { - if zero[i] { - inv_maj_from_zero(b, a[i - 1], acc[i], a[i]); - } else { - inv_maj(b, a[i - 1], acc[i], a[i]); - } - } - if zero[0] { - inv_maj_from_zero(b, c_in, acc[0], a[0]); - } else { - inv_maj(b, c_in, acc[0], a[0]); - } -} - +/// In-place addition `acc += a mod 2^n` on quantum n-bit registers. +/// * `c_in` is a fresh ancilla qubit at 0 on entry and returns to 0. +/// * `a` unchanged; `acc` becomes (a + acc) mod 2^n. +/// Pure mod-2^n: the high carry is discarded (no `z` ancilla). This is +/// honestly reversible because the last MAJ/UMA pair cancel out the +/// carry information on `a[n-1]`. pub(crate) fn cuccaro_add(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: QubitId) { let n = a.len(); assert_eq!(n, acc.len()); @@ -237,26 +137,32 @@ pub(crate) fn cuccaro_add(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: Qubit return; } if n == 1 { - + // acc[0] += a[0] + c_in mod 2 ; c_in → 0 b.cx(c_in, acc[0]); b.cx(a[0], acc[0]); return; } + // Forward MAJ sweep. maj(b, c_in, acc[0], a[0]); for i in 1..n - 1 { maj(b, a[i - 1], acc[i], a[i]); } + // Final sum bit: sum[n-1] = acc[n-1] XOR a[n-1] XOR carry_in_to_n-1, + // where carry_in_to_n-1 is in a[n-2] after the MAJ sweep. b.cx(a[n - 2], acc[n - 1]); b.cx(a[n - 1], acc[n - 1]); + // Reverse UMA sweep (skips the final MAJ since we didn't do it). for i in (1..n - 1).rev() { uma(b, a[i - 1], acc[i], a[i]); } uma(b, c_in, acc[0], a[0]); } +/// Reverse of `cuccaro_add`: performs `acc -= a mod 2^n`. +/// Implemented as the exact inverse gate sequence of `cuccaro_add`. pub(crate) fn cuccaro_sub(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: QubitId) { let n = a.len(); assert_eq!(n, acc.len()); @@ -264,26 +170,41 @@ pub(crate) fn cuccaro_sub(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: Qubit return; } if n == 1 { - + // Inverse of (cx c_in acc; cx a acc) is the same two gates in reverse. b.cx(a[0], acc[0]); b.cx(c_in, acc[0]); return; } + // Inverse of `uma(c_in, acc[0], a[0])`, then the rest of UMA sweep + // in reverse order. inv_uma(b, c_in, acc[0], a[0]); for i in 1..n - 1 { inv_uma(b, a[i - 1], acc[i], a[i]); } + // Inverse of the final sum writes (both CX self-inverse; reverse order). b.cx(a[n - 1], acc[n - 1]); b.cx(a[n - 2], acc[n - 1]); + // Inverse of the forward MAJ sweep. for i in (1..n - 1).rev() { inv_maj(b, a[i - 1], acc[i], a[i]); } inv_maj(b, c_in, acc[0], a[0]); } +/// Clean (X/CX/CCX only, emit_inverse-safe) Cuccaro add of an n-bit register +/// `a` into an (n+1)-bit accumulator `acc_ext`, capturing the carry-out into +/// `acc_ext[n]`. `acc_ext` may hold any (n+1)-bit value on entry; `c_in` is a +/// fresh ancilla at |0> that returns to |0>. +/// +/// Unlike [`cuccaro_add`] (which discards the carry-out, omitting the top MAJ), +/// this runs the *full* n-step MAJ sweep so the carry-out is materialized in +/// `a[n-1]` after the sweep; we CX it into `acc_ext[n]`, then run the full UMA +/// sweep to write the sum bits and restore `a` and `c_in`. This is the +/// MAJ/UMA analogue of [`cuccaro_add_fast_low_to_ext`] (no measurement), so it +/// is safe inside `emit_inverse` blocks. `a` is preserved. pub(crate) fn cuccaro_add_low_to_ext_clean( b: &mut B, a: &[QubitId], @@ -293,24 +214,33 @@ pub(crate) fn cuccaro_add_low_to_ext_clean( let n = a.len(); assert_eq!(acc_ext.len(), n + 1); if n == 0 { - + // acc_ext[0] += c_in. b.cx(c_in, acc_ext[0]); return; } + // Full forward MAJ sweep (bits 0..=n-1). After this, a[n-1] holds the + // carry-out of the whole addition. maj(b, c_in, acc_ext[0], a[0]); for i in 1..n { maj(b, a[i - 1], acc_ext[i], a[i]); } + // Carry-out into the extension bit. b.cx(a[n - 1], acc_ext[n]); + // Full reverse UMA sweep: writes sum bits into acc_ext[0..n], restores a + // and c_in to their entry values. for i in (1..n).rev() { uma(b, a[i - 1], acc_ext[i], a[i]); } uma(b, c_in, acc_ext[0], a[0]); } +/// Gate-level inverse of [`cuccaro_add_low_to_ext_clean`]: computes +/// `acc_ext := acc_ext - (a + c_in)` capturing the borrow-out into +/// `acc_ext[n]` (the same bit toggles, since add and subtract share the carry +/// identity under the running ext bit). `a` is preserved; `c_in` clean in/out. pub(crate) fn cuccaro_sub_low_to_ext_clean( b: &mut B, a: &[QubitId], @@ -324,19 +254,23 @@ pub(crate) fn cuccaro_sub_low_to_ext_clean( return; } + // Inverse of the forward UMA sweep. inv_uma(b, c_in, acc_ext[0], a[0]); for i in 1..n { inv_uma(b, a[i - 1], acc_ext[i], a[i]); } + // Inverse of the carry-out write (CX is self-inverse). b.cx(a[n - 1], acc_ext[n]); + // Inverse of the forward MAJ sweep. for i in (1..n).rev() { inv_maj(b, a[i - 1], acc_ext[i], a[i]); } inv_maj(b, c_in, acc_ext[0], a[0]); } + pub(crate) fn load_const(b: &mut B, n: usize, c: U256) -> Vec { let qs = b.alloc_qubits(n); for i in 0..n { @@ -360,7 +294,7 @@ pub(crate) fn load_bits(b: &mut B, bits: &[BitId]) -> Vec { let n = bits.len(); let qs = b.alloc_qubits(n); for i in 0..n { - + // qs[i] ← bits[i] via conditional X b.x_if(qs[i], bits[i]); } qs @@ -373,6 +307,7 @@ pub(crate) fn unload_bits(b: &mut B, qs: &[QubitId], bits: &[BitId]) { b.free_vec(qs); } +/// Build an (n+1)-bit view by attaching a freshly-allocated 0 ancilla. pub(crate) fn ext_reg(b: &mut B, reg: &[QubitId]) -> (Vec, QubitId) { let ovf = b.alloc_qubit(); let mut r = reg.to_vec(); @@ -380,6 +315,7 @@ pub(crate) fn ext_reg(b: &mut B, reg: &[QubitId]) -> (Vec, QubitId) { (r, ovf) } +/// Release the overflow ancilla (which must be 0 on exit). pub(crate) fn unext_reg(b: &mut B, ovf: QubitId) { b.free(ovf); } @@ -398,11 +334,13 @@ pub(crate) fn cuccaro_sub_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: let carries = b.alloc_qubits(n - 1); + // Forward inv_UMA sweep with carry ancillae (reversed UMA from cuccaro_sub). + // Step 0: b.cx(c_in, acc[0]); b.cx(a[0], c_in); b.ccx(c_in, acc[0], carries[0]); b.cx(carries[0], a[0]); - + // Steps 1..n-2: for i in 1..n - 1 { b.cx(a[i - 1], acc[i]); b.cx(a[i], a[i - 1]); @@ -410,9 +348,11 @@ pub(crate) fn cuccaro_sub_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: b.cx(carries[i], a[i]); } + // Final sum bit (reversed from cuccaro_add) b.cx(a[n - 1], acc[n - 1]); b.cx(a[n - 2], acc[n - 1]); + // Backward inv_MAJ sweep with measurement. for i in (1..n - 1).rev() { b.cx(carries[i], a[i]); let m = b.alloc_bit(); @@ -431,6 +371,8 @@ pub(crate) fn cuccaro_sub_fast(b: &mut B, a: &[QubitId], acc: &[QubitId], c_in: b.free_vec(&carries); } +/// Fast Cuccaro add into an extended accumulator where the source high bit is +/// known zero: `acc_ext += a + c_in (mod 2^(n+1))`. pub(crate) fn cuccaro_add_fast_low_to_ext(b: &mut B, a: &[QubitId], acc_ext: &[QubitId], c_in: QubitId) { let n = a.len(); assert_eq!(acc_ext.len(), n + 1); @@ -472,7 +414,9 @@ pub(crate) fn cuccaro_add_fast_low_to_ext(b: &mut B, a: &[QubitId], acc_ext: &[Q b.free_vec(&carries); } -pub(crate) fn cuccaro_sub_fast_low_to_ext(b: &mut B, a: &[QubitId], acc_ext: &[QubitId], c_in: QubitId) { +/// Fast Cuccaro subtract from an extended accumulator where the source high bit +/// is known zero: `acc_ext -= a + c_in (mod 2^(n+1))`. +pub(crate) fn cuccaro_sub_fast_low_to_ext(b: &mut B, a: &[QubitId], acc_ext: &[QubitId], c_in: QubitId) { let n = a.len(); assert_eq!(acc_ext.len(), n + 1); if n == 0 { @@ -510,236 +454,244 @@ pub(crate) fn cuccaro_sub_fast_low_to_ext(b: &mut B, a: &[QubitId], acc_ext: &[Q b.cx(a[0], c_in); b.cx(a[0], acc_ext[0]); - b.free_vec(&carries); -} - -pub(crate) fn cuccaro_add_fast_low_to_ext_topclean( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - clean_top: usize, -) { - let n = a.len(); - assert_eq!(acc_ext.len(), n + 1); - if n == 0 { - b.cx(c_in, acc_ext[0]); - return; - } - let clean_top = clean_top.min(n.saturating_sub(1)); - if clean_top == 0 { - return cuccaro_add_fast_low_to_ext(b, a, acc_ext, c_in); - } - let borrowed = n - clean_top; - let carries = b.alloc_qubits(borrowed); - - b.cx(a[0], acc_ext[0]); - b.cx(a[0], c_in); - b.ccx(c_in, acc_ext[0], carries[0]); - b.cx(carries[0], a[0]); - for i in 1..borrowed { - b.cx(a[i], acc_ext[i]); - b.cx(a[i], a[i - 1]); - b.ccx(a[i - 1], acc_ext[i], carries[i]); - b.cx(carries[i], a[i]); - } - for i in borrowed..n { - maj(b, a[i - 1], acc_ext[i], a[i]); - } - - b.cx(a[n - 1], acc_ext[n]); - - for i in (borrowed..n).rev() { - uma(b, a[i - 1], acc_ext[i], a[i]); - } - for i in (1..borrowed).rev() { - b.cx(carries[i], a[i]); - let m = b.alloc_bit(); - b.hmr(carries[i], m); - b.cz_if(a[i - 1], acc_ext[i], m); - b.cx(a[i], a[i - 1]); - b.cx(a[i - 1], acc_ext[i]); - } - b.cx(carries[0], a[0]); - let m0 = b.alloc_bit(); - b.hmr(carries[0], m0); - b.cz_if(c_in, acc_ext[0], m0); - b.cx(a[0], c_in); - b.cx(c_in, acc_ext[0]); - - b.free_vec(&carries); -} - -pub(crate) fn cuccaro_sub_fast_low_to_ext_topclean( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - clean_top: usize, -) { - let n = a.len(); - assert_eq!(acc_ext.len(), n + 1); - if n == 0 { - b.cx(c_in, acc_ext[0]); - return; - } - let clean_top = clean_top.min(n.saturating_sub(1)); - if clean_top == 0 { - return cuccaro_sub_fast_low_to_ext(b, a, acc_ext, c_in); - } - let borrowed = n - clean_top; - let carries = b.alloc_qubits(borrowed); - - b.cx(c_in, acc_ext[0]); - b.cx(a[0], c_in); - b.ccx(c_in, acc_ext[0], carries[0]); - b.cx(carries[0], a[0]); - for i in 1..borrowed { - b.cx(a[i - 1], acc_ext[i]); - b.cx(a[i], a[i - 1]); - b.ccx(a[i - 1], acc_ext[i], carries[i]); - b.cx(carries[i], a[i]); - } - for i in borrowed..n { - inv_uma(b, a[i - 1], acc_ext[i], a[i]); - } - - b.cx(a[n - 1], acc_ext[n]); - - for i in (borrowed..n).rev() { - inv_maj(b, a[i - 1], acc_ext[i], a[i]); - } - for i in (1..borrowed).rev() { - b.cx(carries[i], a[i]); - let m = b.alloc_bit(); - b.hmr(carries[i], m); - b.cz_if(a[i - 1], acc_ext[i], m); - b.cx(a[i], a[i - 1]); - b.cx(a[i], acc_ext[i]); - } - b.cx(carries[0], a[0]); - let m0 = b.alloc_bit(); - b.hmr(carries[0], m0); - b.cz_if(c_in, acc_ext[0], m0); - b.cx(a[0], c_in); - b.cx(a[0], acc_ext[0]); - - b.free_vec(&carries); -} - -pub(crate) fn cuccaro_add_fast_low_to_ext_borrowed_carries_topclean( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - carries: &[QubitId], - clean_top: usize, -) { - let n = a.len(); - assert_eq!(acc_ext.len(), n + 1); - if n == 0 { - b.cx(c_in, acc_ext[0]); - return; - } - let clean_top = clean_top.min(n.saturating_sub(1)); - if clean_top == 0 { - return cuccaro_add_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, carries); - } - let borrowed = n - clean_top; - assert!(carries.len() >= borrowed); - - b.cx(a[0], acc_ext[0]); - b.cx(a[0], c_in); - b.ccx(c_in, acc_ext[0], carries[0]); - b.cx(carries[0], a[0]); - for i in 1..borrowed { - b.cx(a[i], acc_ext[i]); - b.cx(a[i], a[i - 1]); - b.ccx(a[i - 1], acc_ext[i], carries[i]); - b.cx(carries[i], a[i]); - } - for i in borrowed..n { - maj(b, a[i - 1], acc_ext[i], a[i]); - } - - b.cx(a[n - 1], acc_ext[n]); - - for i in (borrowed..n).rev() { - uma(b, a[i - 1], acc_ext[i], a[i]); - } - for i in (1..borrowed).rev() { - b.cx(carries[i], a[i]); - let m = b.alloc_bit(); - b.hmr(carries[i], m); - b.cz_if(a[i - 1], acc_ext[i], m); - b.cx(a[i], a[i - 1]); - b.cx(a[i - 1], acc_ext[i]); - } - b.cx(carries[0], a[0]); - let m0 = b.alloc_bit(); - b.hmr(carries[0], m0); - b.cz_if(c_in, acc_ext[0], m0); - b.cx(a[0], c_in); - b.cx(c_in, acc_ext[0]); -} - -pub(crate) fn cuccaro_sub_fast_low_to_ext_borrowed_carries_topclean( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - carries: &[QubitId], - clean_top: usize, -) { - let n = a.len(); - assert_eq!(acc_ext.len(), n + 1); - if n == 0 { - b.cx(c_in, acc_ext[0]); - return; - } - let clean_top = clean_top.min(n.saturating_sub(1)); - if clean_top == 0 { - return cuccaro_sub_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, carries); - } - let borrowed = n - clean_top; - assert!(carries.len() >= borrowed); - - b.cx(c_in, acc_ext[0]); - b.cx(a[0], c_in); - b.ccx(c_in, acc_ext[0], carries[0]); - b.cx(carries[0], a[0]); - for i in 1..borrowed { - b.cx(a[i - 1], acc_ext[i]); - b.cx(a[i], a[i - 1]); - b.ccx(a[i - 1], acc_ext[i], carries[i]); - b.cx(carries[i], a[i]); - } - for i in borrowed..n { - inv_uma(b, a[i - 1], acc_ext[i], a[i]); - } - - b.cx(a[n - 1], acc_ext[n]); - - for i in (borrowed..n).rev() { - inv_maj(b, a[i - 1], acc_ext[i], a[i]); - } - for i in (1..borrowed).rev() { - b.cx(carries[i], a[i]); - let m = b.alloc_bit(); - b.hmr(carries[i], m); - b.cz_if(a[i - 1], acc_ext[i], m); - b.cx(a[i], a[i - 1]); - b.cx(a[i], acc_ext[i]); - } - b.cx(carries[0], a[0]); - let m0 = b.alloc_bit(); - b.hmr(carries[0], m0); - b.cz_if(c_in, acc_ext[0], m0); - b.cx(a[0], c_in); - b.cx(a[0], acc_ext[0]); -} - -pub(crate) fn cuccaro_add_fast_low_to_ext_borrowed_carries( + b.free_vec(&carries); +} + +pub(crate) fn cuccaro_add_fast_low_to_ext_topclean( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + clean_top: usize, +) { + let n = a.len(); + assert_eq!(acc_ext.len(), n + 1); + if n == 0 { + b.cx(c_in, acc_ext[0]); + return; + } + let clean_top = clean_top.min(n.saturating_sub(1)); + if clean_top == 0 { + return cuccaro_add_fast_low_to_ext(b, a, acc_ext, c_in); + } + let borrowed = n - clean_top; + let carries = b.alloc_qubits(borrowed); + + b.cx(a[0], acc_ext[0]); + b.cx(a[0], c_in); + b.ccx(c_in, acc_ext[0], carries[0]); + b.cx(carries[0], a[0]); + for i in 1..borrowed { + b.cx(a[i], acc_ext[i]); + b.cx(a[i], a[i - 1]); + b.ccx(a[i - 1], acc_ext[i], carries[i]); + b.cx(carries[i], a[i]); + } + for i in borrowed..n { + maj(b, a[i - 1], acc_ext[i], a[i]); + } + + b.cx(a[n - 1], acc_ext[n]); + + for i in (borrowed..n).rev() { + uma(b, a[i - 1], acc_ext[i], a[i]); + } + for i in (1..borrowed).rev() { + b.cx(carries[i], a[i]); + let m = b.alloc_bit(); + b.hmr(carries[i], m); + b.cz_if(a[i - 1], acc_ext[i], m); + b.cx(a[i], a[i - 1]); + b.cx(a[i - 1], acc_ext[i]); + } + b.cx(carries[0], a[0]); + let m0 = b.alloc_bit(); + b.hmr(carries[0], m0); + b.cz_if(c_in, acc_ext[0], m0); + b.cx(a[0], c_in); + b.cx(c_in, acc_ext[0]); + + b.free_vec(&carries); +} + +pub(crate) fn cuccaro_sub_fast_low_to_ext_topclean( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + clean_top: usize, +) { + let n = a.len(); + assert_eq!(acc_ext.len(), n + 1); + if n == 0 { + b.cx(c_in, acc_ext[0]); + return; + } + let clean_top = clean_top.min(n.saturating_sub(1)); + if clean_top == 0 { + return cuccaro_sub_fast_low_to_ext(b, a, acc_ext, c_in); + } + let borrowed = n - clean_top; + let carries = b.alloc_qubits(borrowed); + + b.cx(c_in, acc_ext[0]); + b.cx(a[0], c_in); + b.ccx(c_in, acc_ext[0], carries[0]); + b.cx(carries[0], a[0]); + for i in 1..borrowed { + b.cx(a[i - 1], acc_ext[i]); + b.cx(a[i], a[i - 1]); + b.ccx(a[i - 1], acc_ext[i], carries[i]); + b.cx(carries[i], a[i]); + } + for i in borrowed..n { + inv_uma(b, a[i - 1], acc_ext[i], a[i]); + } + + b.cx(a[n - 1], acc_ext[n]); + + for i in (borrowed..n).rev() { + inv_maj(b, a[i - 1], acc_ext[i], a[i]); + } + for i in (1..borrowed).rev() { + b.cx(carries[i], a[i]); + let m = b.alloc_bit(); + b.hmr(carries[i], m); + b.cz_if(a[i - 1], acc_ext[i], m); + b.cx(a[i], a[i - 1]); + b.cx(a[i], acc_ext[i]); + } + b.cx(carries[0], a[0]); + let m0 = b.alloc_bit(); + b.hmr(carries[0], m0); + b.cz_if(c_in, acc_ext[0], m0); + b.cx(a[0], c_in); + b.cx(a[0], acc_ext[0]); + + b.free_vec(&carries); +} + +/// Borrowed-carry form of [`cuccaro_add_fast_low_to_ext_topclean`]. The caller +/// supplies the low/mid carry lanes; the highest `clean_top` carries are hosted +/// in-place on source lanes by the Cuccaro MAJ/UMA suffix. +pub(crate) fn cuccaro_add_fast_low_to_ext_borrowed_carries_topclean( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + carries: &[QubitId], + clean_top: usize, +) { + let n = a.len(); + assert_eq!(acc_ext.len(), n + 1); + if n == 0 { + b.cx(c_in, acc_ext[0]); + return; + } + let clean_top = clean_top.min(n.saturating_sub(1)); + if clean_top == 0 { + return cuccaro_add_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, carries); + } + let borrowed = n - clean_top; + assert!(carries.len() >= borrowed); + + b.cx(a[0], acc_ext[0]); + b.cx(a[0], c_in); + b.ccx(c_in, acc_ext[0], carries[0]); + b.cx(carries[0], a[0]); + for i in 1..borrowed { + b.cx(a[i], acc_ext[i]); + b.cx(a[i], a[i - 1]); + b.ccx(a[i - 1], acc_ext[i], carries[i]); + b.cx(carries[i], a[i]); + } + for i in borrowed..n { + maj(b, a[i - 1], acc_ext[i], a[i]); + } + + b.cx(a[n - 1], acc_ext[n]); + + for i in (borrowed..n).rev() { + uma(b, a[i - 1], acc_ext[i], a[i]); + } + for i in (1..borrowed).rev() { + b.cx(carries[i], a[i]); + let m = b.alloc_bit(); + b.hmr(carries[i], m); + b.cz_if(a[i - 1], acc_ext[i], m); + b.cx(a[i], a[i - 1]); + b.cx(a[i - 1], acc_ext[i]); + } + b.cx(carries[0], a[0]); + let m0 = b.alloc_bit(); + b.hmr(carries[0], m0); + b.cz_if(c_in, acc_ext[0], m0); + b.cx(a[0], c_in); + b.cx(c_in, acc_ext[0]); +} + +/// Borrowed-carry inverse of +/// [`cuccaro_add_fast_low_to_ext_borrowed_carries_topclean`]. +pub(crate) fn cuccaro_sub_fast_low_to_ext_borrowed_carries_topclean( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + carries: &[QubitId], + clean_top: usize, +) { + let n = a.len(); + assert_eq!(acc_ext.len(), n + 1); + if n == 0 { + b.cx(c_in, acc_ext[0]); + return; + } + let clean_top = clean_top.min(n.saturating_sub(1)); + if clean_top == 0 { + return cuccaro_sub_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, carries); + } + let borrowed = n - clean_top; + assert!(carries.len() >= borrowed); + + b.cx(c_in, acc_ext[0]); + b.cx(a[0], c_in); + b.ccx(c_in, acc_ext[0], carries[0]); + b.cx(carries[0], a[0]); + for i in 1..borrowed { + b.cx(a[i - 1], acc_ext[i]); + b.cx(a[i], a[i - 1]); + b.ccx(a[i - 1], acc_ext[i], carries[i]); + b.cx(carries[i], a[i]); + } + for i in borrowed..n { + inv_uma(b, a[i - 1], acc_ext[i], a[i]); + } + + b.cx(a[n - 1], acc_ext[n]); + + for i in (borrowed..n).rev() { + inv_maj(b, a[i - 1], acc_ext[i], a[i]); + } + for i in (1..borrowed).rev() { + b.cx(carries[i], a[i]); + let m = b.alloc_bit(); + b.hmr(carries[i], m); + b.cz_if(a[i - 1], acc_ext[i], m); + b.cx(a[i], a[i - 1]); + b.cx(a[i], acc_ext[i]); + } + b.cx(carries[0], a[0]); + let m0 = b.alloc_bit(); + b.hmr(carries[0], m0); + b.cz_if(c_in, acc_ext[0], m0); + b.cx(a[0], c_in); + b.cx(a[0], acc_ext[0]); +} + +/// Borrowed-carry form of [`cuccaro_add_fast_low_to_ext`]. The source has no +/// materialized high-zero pad lane: `acc_ext` is one bit wider than `a`, and +/// the caller supplies `a.len()` clean, pairwise-disjoint carry lanes. +pub(crate) fn cuccaro_add_fast_low_to_ext_borrowed_carries( b: &mut B, a: &[QubitId], acc_ext: &[QubitId], @@ -783,6 +735,8 @@ pub(crate) fn cuccaro_add_fast_low_to_ext_borrowed_carries( b.cx(c_in, acc_ext[0]); } +/// Borrowed-carry inverse of +/// [`cuccaro_add_fast_low_to_ext_borrowed_carries`]. pub(crate) fn cuccaro_sub_fast_low_to_ext_borrowed_carries( b: &mut B, a: &[QubitId], @@ -827,6 +781,11 @@ pub(crate) fn cuccaro_sub_fast_low_to_ext_borrowed_carries( b.cx(a[0], acc_ext[0]); } +/// Zero-carry-in specialization of +/// [`cuccaro_add_fast_low_to_ext_borrowed_carries`]. The omitted `c_in` +/// register is known zero: its only forward role is to preserve the original +/// low source bit until the measured carry clear. After that clear `a[0]` +/// holds the same value, so it can control the phase correction directly. pub(crate) fn cuccaro_add_fast_low_to_ext_borrowed_carries_no_cin( b: &mut B, a: &[QubitId], @@ -874,6 +833,8 @@ pub(crate) fn cuccaro_add_fast_low_to_ext_borrowed_carries_no_cin( b.cz_if(a[0], acc_ext[0], m0); } +/// Zero-carry-in inverse of +/// [`cuccaro_add_fast_low_to_ext_borrowed_carries_no_cin`]. pub(crate) fn cuccaro_sub_fast_low_to_ext_borrowed_carries_no_cin( b: &mut B, a: &[QubitId], @@ -917,93 +878,97 @@ pub(crate) fn cuccaro_sub_fast_low_to_ext_borrowed_carries_no_cin( b.cx(carries[0], a[0]); let m0 = b.alloc_bit(); b.hmr(carries[0], m0); - b.cz_if(a[0], acc_ext[0], m0); - b.cx(a[0], acc_ext[0]); -} - -pub(crate) fn cuccaro_add_fast_prefix_ctrl_suffix_no_cin( - b: &mut B, - prefix: &[QubitId], - suffix: &[QubitId], - acc: &[QubitId], - ctrl: QubitId, - carries: &[QubitId], - scratch: QubitId, -) { - let n = prefix.len(); - assert!(n > 0); - assert!(!suffix.is_empty()); - assert_eq!(acc.len(), n + suffix.len()); - assert!(carries.len() >= n); - - b.cx(prefix[0], acc[0]); - b.ccx(prefix[0], acc[0], carries[0]); - b.cx(carries[0], prefix[0]); - for i in 1..n { - b.cx(prefix[i], acc[i]); - b.cx(prefix[i], prefix[i - 1]); - b.ccx(prefix[i - 1], acc[i], carries[i]); - b.cx(carries[i], prefix[i]); - } - - cuccaro_add_ctrl_lowq(b, suffix, &acc[n..], ctrl, prefix[n - 1], scratch); - - for i in (1..n).rev() { - b.cx(carries[i], prefix[i]); - let m = b.alloc_bit(); - b.hmr(carries[i], m); - b.cz_if(prefix[i - 1], acc[i], m); - b.cx(prefix[i], prefix[i - 1]); - b.cx(prefix[i - 1], acc[i]); - } - b.cx(carries[0], prefix[0]); - let m0 = b.alloc_bit(); - b.hmr(carries[0], m0); - b.cz_if(prefix[0], acc[0], m0); -} - -pub(crate) fn cuccaro_sub_fast_prefix_ctrl_suffix_no_cin( - b: &mut B, - prefix: &[QubitId], - suffix: &[QubitId], - acc: &[QubitId], - ctrl: QubitId, - carries: &[QubitId], - scratch: QubitId, -) { - let n = prefix.len(); - assert!(n > 0); - assert!(!suffix.is_empty()); - assert_eq!(acc.len(), n + suffix.len()); - assert!(carries.len() >= n); - - b.ccx(prefix[0], acc[0], carries[0]); - b.cx(carries[0], prefix[0]); - for i in 1..n { - b.cx(prefix[i - 1], acc[i]); - b.cx(prefix[i], prefix[i - 1]); - b.ccx(prefix[i - 1], acc[i], carries[i]); - b.cx(carries[i], prefix[i]); - } - - cuccaro_sub_ctrl_lowq(b, suffix, &acc[n..], ctrl, prefix[n - 1], scratch); - - for i in (1..n).rev() { - b.cx(carries[i], prefix[i]); - let m = b.alloc_bit(); - b.hmr(carries[i], m); - b.cz_if(prefix[i - 1], acc[i], m); - b.cx(prefix[i], prefix[i - 1]); - b.cx(prefix[i], acc[i]); - } - b.cx(carries[0], prefix[0]); - let m0 = b.alloc_bit(); - b.hmr(carries[0], m0); - b.cz_if(prefix[0], acc[0], m0); - b.cx(prefix[0], acc[0]); -} - -pub(crate) fn cuccaro_add_fast_windowed_low_to_ext( + b.cz_if(a[0], acc_ext[0], m0); + b.cx(a[0], acc_ext[0]); +} + +/// Add a materialized low prefix and an unmaterialized controlled high suffix. +/// The prefix's final carry is a valid controlled carry-in for the suffix. +pub(crate) fn cuccaro_add_fast_prefix_ctrl_suffix_no_cin( + b: &mut B, + prefix: &[QubitId], + suffix: &[QubitId], + acc: &[QubitId], + ctrl: QubitId, + carries: &[QubitId], + scratch: QubitId, +) { + let n = prefix.len(); + assert!(n > 0); + assert!(!suffix.is_empty()); + assert_eq!(acc.len(), n + suffix.len()); + assert!(carries.len() >= n); + + b.cx(prefix[0], acc[0]); + b.ccx(prefix[0], acc[0], carries[0]); + b.cx(carries[0], prefix[0]); + for i in 1..n { + b.cx(prefix[i], acc[i]); + b.cx(prefix[i], prefix[i - 1]); + b.ccx(prefix[i - 1], acc[i], carries[i]); + b.cx(carries[i], prefix[i]); + } + + cuccaro_add_ctrl_lowq(b, suffix, &acc[n..], ctrl, prefix[n - 1], scratch); + + for i in (1..n).rev() { + b.cx(carries[i], prefix[i]); + let m = b.alloc_bit(); + b.hmr(carries[i], m); + b.cz_if(prefix[i - 1], acc[i], m); + b.cx(prefix[i], prefix[i - 1]); + b.cx(prefix[i - 1], acc[i]); + } + b.cx(carries[0], prefix[0]); + let m0 = b.alloc_bit(); + b.hmr(carries[0], m0); + b.cz_if(prefix[0], acc[0], m0); +} + +/// Inverse of [`cuccaro_add_fast_prefix_ctrl_suffix_no_cin`]. +pub(crate) fn cuccaro_sub_fast_prefix_ctrl_suffix_no_cin( + b: &mut B, + prefix: &[QubitId], + suffix: &[QubitId], + acc: &[QubitId], + ctrl: QubitId, + carries: &[QubitId], + scratch: QubitId, +) { + let n = prefix.len(); + assert!(n > 0); + assert!(!suffix.is_empty()); + assert_eq!(acc.len(), n + suffix.len()); + assert!(carries.len() >= n); + + b.ccx(prefix[0], acc[0], carries[0]); + b.cx(carries[0], prefix[0]); + for i in 1..n { + b.cx(prefix[i - 1], acc[i]); + b.cx(prefix[i], prefix[i - 1]); + b.ccx(prefix[i - 1], acc[i], carries[i]); + b.cx(carries[i], prefix[i]); + } + + cuccaro_sub_ctrl_lowq(b, suffix, &acc[n..], ctrl, prefix[n - 1], scratch); + + for i in (1..n).rev() { + b.cx(carries[i], prefix[i]); + let m = b.alloc_bit(); + b.hmr(carries[i], m); + b.cz_if(prefix[i - 1], acc[i], m); + b.cx(prefix[i], prefix[i - 1]); + b.cx(prefix[i], acc[i]); + } + b.cx(carries[0], prefix[0]); + let m0 = b.alloc_bit(); + b.hmr(carries[0], m0); + b.cz_if(prefix[0], acc[0], m0); + b.cx(prefix[0], acc[0]); +} + + +pub(crate) fn cuccaro_add_fast_windowed_low_to_ext( b: &mut B, a: &[QubitId], acc_ext: &[QubitId], @@ -1111,6 +1076,7 @@ pub(crate) fn cuccaro_sub_fast_windowed_low_to_ext( } } + pub(crate) fn cuccaro_sub_fast_borrowed_carries( b: &mut B, a: &[QubitId], @@ -1160,6 +1126,17 @@ pub(crate) fn cuccaro_sub_fast_borrowed_carries( b.cx(a[0], acc[0]); } +/// Zero-carry-in specialization of [`cuccaro_add_fast_borrowed_carries`] +/// (same-width, `acc += a mod 2^n`, no carry-out captured). The omitted `c_in` +/// register is *proven* |0> on entry: its only forward roles are (a) to seed the +/// MAJ chain at bit 0 with carry-in 0 and (b) to freeze the original `a[0]` until +/// the final measured UMA's phase correction. With c_in=0 the seed +/// `cx(c_in,acc[0]); cx(a[0],c_in); ccx(c_in,acc[0],c0)` collapses to +/// `ccx(a[0],acc[0],c0)`, and since c_in held `a[0]` (restored by the final +/// `cx(carries[0],a[0])` to its seed-time value) the final `cz_if(c_in,acc[0],m0)` +/// equals `cz_if(a[0],acc[0],m0)`. This is the same-width analogue of the proven +/// [`cuccaro_add_fast_low_to_ext_borrowed_carries_no_cin`]. Consumes NO `c_in` +/// qubit; `carries` must be clean on entry and is restored to |0>. pub(crate) fn cuccaro_add_fast_borrowed_carries_no_cin( b: &mut B, a: &[QubitId], @@ -1172,12 +1149,13 @@ pub(crate) fn cuccaro_add_fast_borrowed_carries_no_cin( return; } if n == 1 { - + // acc[0] += a[0] (c_in = 0); pure XOR, no carry lane needed. b.cx(a[0], acc[0]); return; } assert!(carries.len() >= n - 1); + // Step 0 MAJ with c_in folded out (c_in == 0 == a[0]'s seed companion). b.cx(a[0], acc[0]); b.ccx(a[0], acc[0], carries[0]); b.cx(carries[0], a[0]); @@ -1199,13 +1177,23 @@ pub(crate) fn cuccaro_add_fast_borrowed_carries_no_cin( b.cx(a[i], a[i - 1]); b.cx(a[i - 1], acc[i]); } - + // Step 0 UMA with c_in folded out. In the c_in form the tail is + // cz_if(c_in,acc[0],m0); cx(a[0],c_in); cx(c_in,acc[0]) + // where the pre-`cz_if` `cx(carries[0],a[0])` has restored a[0] to the + // frozen c_in value, so `cz_if(c_in,..)` == `cz_if(a[0],..)`. The two + // trailing CXs reset c_in (`cx(a[0],c_in)`) and then `cx(c_in,acc[0])` + // with c_in already 0 — a no-op. Both drop out: NO trailing acc CX here. b.cx(carries[0], a[0]); let m0 = b.alloc_bit(); b.hmr(carries[0], m0); b.cz_if(a[0], acc[0], m0); } +/// Zero-carry-in inverse of [`cuccaro_add_fast_borrowed_carries_no_cin`]: +/// same-width `acc -= a mod 2^n`, derived from +/// [`cuccaro_sub_fast_borrowed_carries`] by folding out the proven-|0> `c_in` +/// exactly as in the add direction. Consumes NO `c_in` qubit; `carries` clean in +/// and restored to |0>. pub(crate) fn cuccaro_sub_fast_borrowed_carries_no_cin( b: &mut B, a: &[QubitId], @@ -1218,12 +1206,13 @@ pub(crate) fn cuccaro_sub_fast_borrowed_carries_no_cin( return; } if n == 1 { - + // acc[0] -= a[0] (c_in = 0); pure XOR. b.cx(a[0], acc[0]); return; } assert!(carries.len() >= n - 1); + // Step 0 with c_in folded out (the sub seed begins ccx(a[0],acc[0],c0)). b.ccx(a[0], acc[0], carries[0]); b.cx(carries[0], a[0]); for i in 1..n - 1 { @@ -1251,20 +1240,24 @@ pub(crate) fn cuccaro_sub_fast_borrowed_carries_no_cin( b.cx(a[0], acc[0]); } -pub(crate) fn inv_maj(b: &mut B, x: QubitId, y: QubitId, w: QubitId) { +pub(crate) fn inv_maj(b: &mut B, x: QubitId, y: QubitId, w: QubitId) { + // maj = CX(w,y); CX(w,x); CCX(x,y,w) + // inv = CCX(x,y,w); CX(w,x); CX(w,y) b.ccx(x, y, w); b.cx(w, x); b.cx(w, y); } pub(crate) fn inv_uma(b: &mut B, x: QubitId, y: QubitId, w: QubitId) { - + // uma = CCX(x,y,w); CX(w,x); CX(x,y) + // inv = CX(x,y); CX(w,x); CCX(x,y,w) b.cx(x, y); b.cx(w, x); b.ccx(x, y, w); } +/// Fredkin (controlled swap): swap (a, t) if ctrl. Decomposed as CX/CCX/CX. pub(crate) fn cswap(b: &mut B, ctrl: QubitId, a: QubitId, t: QubitId) { if a == t { return; @@ -1278,6 +1271,24 @@ pub(crate) fn cswap(b: &mut B, ctrl: QubitId, a: QubitId, t: QubitId) { b.cx(t, a); } + +/// flag ^= (u < v). Non-destructive on u and v. +/// +/// Uses a MAJ-only carry chain instead of the full sub+add pattern. +/// Identity: u < v iff carry-out of (~u + v) = 1, since +/// ~u + v = (2^n - 1 - u) + v = (v - u) + (2^n - 1) +/// which overflows 2^n iff v - u ≥ 1 iff v > u. We negate u in place, +/// run a forward MAJ sweep over (~u, v, c_in=0), capture u[n-1] (which +/// holds the high carry after the chain), then run the inverse MAJ +/// sweep + un-negate to restore u and v. Cost ≈ 2n CCX, half of the +/// previous sub+add (≈ 4n CCX). + +// ═══════════════════════════════════════════════════════════════════════════ +// Primitives for the Kaliski port (qrisp-style) +// ═══════════════════════════════════════════════════════════════════════════ + +/// 3-controlled X with per-control polarity. Uses a borrowed scratch qubit +/// (must be supplied clean, returns clean). pub(crate) fn mcx3_polar( b: &mut B, c1: QubitId, @@ -1402,6 +1413,10 @@ pub(crate) fn cuccaro_sub_ctrl_lowq( ctrl_inv_maj(b, ctrl, c_in, acc[0], a[0], scratch); } +/// Gidney measurement-vented CONTROLLED add: acc += ctrl*addend (mod 2^n), addend restored. +/// Port of trailmix controlled_hybrid_add_refs (full vents). vent_pool supplies n-1 clean |0> +/// carry ancillae (BORROWED — restored to |0> by the measured uncompute); NO fresh alloc, so +/// the peak does not grow. acc = target (trailmix qr_y), addend = carry-threaded operand (qr_x). pub(crate) fn cuccaro_add_ctrl_vented( b: &mut B, addend: &[QubitId], acc: &[QubitId], ctrl: QubitId, vent_pool: &[QubitId], ) { @@ -1412,24 +1427,27 @@ pub(crate) fn cuccaro_add_ctrl_vented( assert!(vent_pool.len() >= n - 1, "vented body needs n-1 borrowed vent lanes"); for i in 1..n { b.cx(addend[i], acc[i]); } for i in (1..n-1).rev() { b.cx(addend[i], addend[i+1]); } - for i in 0..n-1 { - let anc = vent_pool[i]; - b.ccx(acc[i], addend[i], anc); + for i in 0..n-1 { // forward carry chain, all vented onto borrow + let anc = vent_pool[i]; // borrowed, currently |0> + b.ccx(acc[i], addend[i], anc); // anc = acc[i] & addend[i] b.cx(anc, addend[i+1]); } - for i in (0..n-1).rev() { + for i in (0..n-1).rev() { // reverse: controlled sum bit + measured carry uncompute b.ccx(ctrl, addend[i+1], acc[i+1]); let anc = vent_pool[i]; - b.cx(anc, addend[i+1]); + b.cx(anc, addend[i+1]); // undo forward cx; now anc == acc[i] & addend[i] again let m = b.alloc_bit(); - b.hmr(anc, m); - b.cz_if(acc[i], addend[i], m); + b.hmr(anc, m); // measure anc -> |0> (phase kickback) + b.cz_if(acc[i], addend[i], m); // cancel phase: CZ(acc[i],addend[i]) iff m (anc == acc[i]&addend[i]) } for i in 1..n-1 { b.cx(addend[i], addend[i+1]); } b.ccx(ctrl, addend[0], acc[0]); for i in 1..n { b.cx(addend[i], acc[i]); } } +/// Vented controlled SUB: acc -= ctrl*subtrahend (mod 2^n), subtrahend restored. +/// Complement-of-target X-sandwich: acc - x == ~(~acc + x). X's are unconditional; +/// at ctrl=0 the inner add is identity so X;X cancels. pub(crate) fn cuccaro_sub_ctrl_vented( b: &mut B, subtrahend: &[QubitId], acc: &[QubitId], ctrl: QubitId, vent_pool: &[QubitId], ) { @@ -1453,3 +1471,26 @@ pub(crate) fn cucc_sub_ctrl_lowq(b: &mut B, a: &[QubitId], acc: &[QubitId], ctrl b.free(scratch); b.free(c_in); } + + +// ═══════════════════════════════════════════════════════════════════════════ +// Kaliski binary almost-inverse (qrisp-style, standard form) +// ═══════════════════════════════════════════════════════════════════════════ +// +// Faithful port of `kaliski_mod_inv` from the qrisp reference at +// `quantum-elliptic-curve-logarithm/src/quantum/ec_arithmetic.py`. +// +// The function computes `v_in := v_in^{-1} mod p` in place, using a +// self-contained scratch region that is zeroed at function exit. Every +// per-iteration ancilla is uncomputed via the `conjugate` pattern or via +// classical invariants (e.g. `a ^= NOT s[0]` at the end of each iteration). +// +// Difference from qrisp: we work in STANDARD form, no Montgomery +// conversion. The final r register holds `-v_orig^{-1} * 2^{2n} mod p` +// instead of the Montgomery version. We compensate via a single in-place +// classical-constant multiplication by K = (2^{-2n}) mod p at function +// end, which gets us back to v_orig^{-1}. +// +// Assumption: v_in is a nonzero element of (Z/p)*. The test harness +// filters out the v_orig = 0 case before calling `build`, so we skip the + diff --git a/src/point_add/arith/compare.rs b/src/point_add/arith/compare.rs index 74924a38..91337243 100644 --- a/src/point_add/arith/compare.rs +++ b/src/point_add/arith/compare.rs @@ -1,7 +1,8 @@ use super::*; pub(crate) fn cmp_lt_into_fast(b: &mut B, u: &[QubitId], v: &[QubitId], flag: QubitId) { - + // The vented D1 core uses the slow (no-carries) comparator which + // saves n peak qubits at cost of ~n CCX per call. if kal_vent_modadd_enabled() { cmp_lt_into(b, u, v, flag); return; @@ -14,6 +15,7 @@ pub(crate) fn cmp_lt_into_fast(b: &mut B, u: &[QubitId], v: &[QubitId], flag: Qu b.x(u[i]); } + // Forward MAJ sweep with carry ancillae b.cx(u[0], v[0]); b.cx(u[0], c_in); b.ccx(c_in, v[0], carries[0]); @@ -27,6 +29,7 @@ pub(crate) fn cmp_lt_into_fast(b: &mut B, u: &[QubitId], v: &[QubitId], flag: Qu b.cx(u[n - 1], flag); + // Backward inv_MAJ with measurement for i in (1..n).rev() { b.cx(carries[i], u[i]); let m = b.alloc_bit(); @@ -102,6 +105,9 @@ pub(crate) fn cmp_lt_into_fast_with_cin( b.free_vec(&carries); } +/// Like `cmp_lt_into_fast_with_cin` but the n-wide measured-uncompute carry lane +/// is supplied by the caller as borrowed clean (|0>) qubits (restored clean on +/// exit) instead of being allocated — so the comparator adds no peak qubits. pub(crate) fn cmp_lt_into_fast_with_cin_borrowed_carries( b: &mut B, u: &[QubitId], @@ -338,6 +344,9 @@ pub(crate) fn cmp_lt_fast_prefix_window_inverse( b.cx(u[0], v[0]); } +/// Apply the HMR phase correction for one comparator carry. The exact +/// nonlinear replay is classically conditioned on the HMR result, so its CCX +/// gates execute on half the shots on average. pub(crate) fn cmp_lt_phase_conditioned_with_cin( b: &mut B, u: &[QubitId], @@ -365,9 +374,9 @@ pub(crate) fn cmp_lt_phase_conditioned_with_cin( b.pop_condition(); } -pub(crate) fn cmp_lt_phase_conditioned_borrowed_carries( - b: &mut B, - u: &[QubitId], +pub(crate) fn cmp_lt_phase_conditioned_borrowed_carries( + b: &mut B, + u: &[QubitId], v: &[QubitId], c_in: QubitId, carries: &[QubitId], @@ -389,38 +398,41 @@ pub(crate) fn cmp_lt_phase_conditioned_borrowed_carries( for &q in u { b.x(q); } - b.pop_condition(); -} - -pub(crate) fn cmp_lt_phase_conditioned_with_cin_borrowed_carries( - b: &mut B, - u: &[QubitId], - v: &[QubitId], - c_in: QubitId, - carries: &[QubitId], - phase: BitId, -) { - let n = u.len(); - assert_eq!(v.len(), n); - assert!(n > 0); - assert!(carries.len() >= n); - - b.push_condition(phase); - for &q in u { - b.x(q); - } - cmp_lt_fast_prefix_window_forward(b, u, v, c_in, carries, c_in, &[]); - b.cz(u[n - 1], u[n - 1]); - cmp_lt_fast_prefix_window_inverse(b, u, v, c_in, carries); - for &q in u { - b.x(q); - } - b.pop_condition(); -} - -pub(crate) fn cmp_lt_phase_conditioned( - b: &mut B, - u: &[QubitId], + b.pop_condition(); +} + +/// Apply the HMR phase correction for `u < v + c_in` without an additional +/// quantum control. The nonlinear comparator replay executes only when the +/// classical HMR result is one. +pub(crate) fn cmp_lt_phase_conditioned_with_cin_borrowed_carries( + b: &mut B, + u: &[QubitId], + v: &[QubitId], + c_in: QubitId, + carries: &[QubitId], + phase: BitId, +) { + let n = u.len(); + assert_eq!(v.len(), n); + assert!(n > 0); + assert!(carries.len() >= n); + + b.push_condition(phase); + for &q in u { + b.x(q); + } + cmp_lt_fast_prefix_window_forward(b, u, v, c_in, carries, c_in, &[]); + b.cz(u[n - 1], u[n - 1]); + cmp_lt_fast_prefix_window_inverse(b, u, v, c_in, carries); + for &q in u { + b.x(q); + } + b.pop_condition(); +} + +pub(crate) fn cmp_lt_phase_conditioned( + b: &mut B, + u: &[QubitId], v: &[QubitId], phase: BitId, ) { @@ -578,6 +590,12 @@ pub(crate) fn ccx_cmp_lt_into_fast_prefix_targets_split( } } + +/// Slow (carry-array-free) `flag ^= (u < v + c_in)` comparator. Like +/// `cmp_lt_into` but threads a borrowed carry-IN qubit (left clean on exit) +/// through the bottom MAJ. Peak cost: 0 extra qubits beyond the supplied c_in +/// (the MAJ sweep works in place on `u`). Toffoli ~2n (no measured uncompute), +/// traded against the n-wide carry array the fast variant allocates. pub(crate) fn cmp_lt_into_with_cin_slow( b: &mut B, u: &[QubitId], @@ -611,22 +629,27 @@ pub(crate) fn cmp_lt_into(b: &mut B, u: &[QubitId], v: &[QubitId], flag: QubitId let c_in = b.alloc_qubit(); + // ~u in place (X is free in the metric). for i in 0..n { b.x(u[i]); } + // Forward MAJ sweep — n MAJs (one more than cuccaro_add, which omits + // the top one because it doesn't need the carry-out). maj(b, c_in, v[0], u[0]); for i in 1..n { maj(b, u[i - 1], v[i], u[i]); } - + // u[n-1] now holds the high carry = (u < v). b.cx(u[n - 1], flag); + // Inverse sweep restores u and v to their (negated u) state. for i in (1..n).rev() { inv_maj(b, u[i - 1], v[i], u[i]); } inv_maj(b, c_in, v[0], u[0]); + // Un-negate u. for i in 0..n { b.x(u[i]); } @@ -634,6 +657,15 @@ pub(crate) fn cmp_lt_into(b: &mut B, u: &[QubitId], v: &[QubitId], flag: QubitId b.free(c_in); } +/// Controlled (`target ^= ctrl & (u < v)`) borrow-comparator that takes its +/// `c_in` + `carries` lanes as borrowed clean (|0>) qubits instead of allocating +/// them. Identical gate sequence to `ccx_cmp_lt_into_fast` except the final +/// reduction is `ccx(ctrl, u[n-1], target)` (controlled). The borrowed lanes are +/// restored to |0> by the measured backward inv-MAJ sweep, so the host slice is +/// returned clean (Bennett/measured-clean, safe outside emit_inverse since it +/// uses hmr/cz_if not a recompute). Used by the GCD branch-bit comparator to host +/// its transient on the idle future-log region, freeing the peak qubit it would +/// otherwise allocate at the branch_bits instant. pub(crate) fn ccx_cmp_lt_into_fast_borrowed_carries( b: &mut B, u: &[QubitId], @@ -684,3 +716,4 @@ pub(crate) fn ccx_cmp_lt_into_fast_borrowed_carries( b.x(u[i]); } } + diff --git a/src/point_add/arith/const_arith.rs b/src/point_add/arith/const_arith.rs index edff778a..b3096937 100644 --- a/src/point_add/arith/const_arith.rs +++ b/src/point_add/arith/const_arith.rs @@ -43,7 +43,7 @@ fn emit_fold_majority( } pub(crate) fn csub_nbit_const(b: &mut B, acc: &[QubitId], c: U256, ctrl: QubitId) { - + // acc -= (ctrl ? c : 0). Mirror of cadd_nbit_const. let n = acc.len(); let a = b.alloc_qubits(n); for i in 0..n { @@ -61,7 +61,10 @@ pub(crate) fn csub_nbit_const(b: &mut B, acc: &[QubitId], c: U256, ctrl: QubitId } pub(crate) fn cadd_nbit_const(b: &mut B, acc: &[QubitId], c: U256, ctrl: QubitId) { - + // Conditional add of constant c, controlled by qubit ctrl. + // Trick: load c into a qubit register via CX-from-ctrl gates + // (so the loaded value is (ctrl ? c : 0)), then unconditional add, + // then unload. let n = acc.len(); let a = b.alloc_qubits(n); for i in 0..n { @@ -95,6 +98,12 @@ pub(crate) fn csub_nbit_const_fast(b: &mut B, acc: &[QubitId], c: U256, ctrl: Qu b.free_vec(&a); } +/// Controlled subtract of a classical constant without materializing the +/// `ctrl ? c : 0` addend. This is the same measurement-uncomputed ripple idea +/// as [`sub_nbit_qq_fast`], but the carry/borrow recurrence is specialized to a +/// classical bit and the external control. It saves the n-qubit loaded-constant +/// register at Kaliski halve peaks; for sparse secp256k1 `c=2^32+977` the CCX +/// count is essentially unchanged. pub(crate) fn csub_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, ctrl: QubitId) { let n = acc.len(); if n == 0 { @@ -109,6 +118,8 @@ pub(crate) fn csub_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, c let borrows = b.alloc_qubits(n - 1); + // Forward borrow sweep. borrow_{i+1} = majority(!acc_i, k_i, borrow_i), + // where k_i = ctrl when c_i=1 and 0 otherwise. for i in 0..n - 1 { let target = borrows[i]; let borrow_in = if i == 0 { None } else { Some(borrows[i - 1]) }; @@ -127,6 +138,7 @@ pub(crate) fn csub_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, c } } + // Difference bits: acc_i ^= k_i ^ borrow_i. for i in 0..n { if bit(c, i) { b.cx(ctrl, acc[i]); @@ -136,6 +148,8 @@ pub(crate) fn csub_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, c } } + // Measurement-uncompute borrows in reverse. For subtraction the post-sum + // identity is borrow_{i+1} = majority(acc_i_final, k_i, borrow_i). for i in (0..n - 1).rev() { let m = b.alloc_bit(); b.hmr(borrows[i], m); @@ -173,6 +187,8 @@ pub(crate) fn cadd_nbit_const_fast(b: &mut B, acc: &[QubitId], c: U256, ctrl: Qu b.free_vec(&a); } +/// Controlled add of a classical constant without a loaded addend register. +/// This is the carry analogue of [`csub_nbit_const_direct_fast`]. pub(crate) fn cadd_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, ctrl: QubitId) { let n = acc.len(); if n == 0 { @@ -187,6 +203,7 @@ pub(crate) fn cadd_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, c let carries = b.alloc_qubits(n - 1); + // Forward carry sweep. carry_{i+1} = majority(acc_i, k_i, carry_i). for i in 0..n - 1 { let target = carries[i]; let carry_in = if i == 0 { None } else { Some(carries[i - 1]) }; @@ -201,6 +218,7 @@ pub(crate) fn cadd_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, c } } + // Sum bits: acc_i ^= k_i ^ carry_i. for i in 0..n { if bit(c, i) { b.cx(ctrl, acc[i]); @@ -210,6 +228,8 @@ pub(crate) fn cadd_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, c } } + // Measurement-uncompute carries in reverse. For addition the post-sum + // identity is carry_{i+1} = majority(!acc_i_final, k_i, carry_i). for i in (0..n - 1).rev() { let m = b.alloc_bit(); b.hmr(carries[i], m); @@ -235,10 +255,37 @@ pub(crate) fn cadd_nbit_const_direct_fast(b: &mut B, acc: &[QubitId], c: U256, c b.free_vec(&carries); } +// ═══════════════════════════════════════════════════════════════════════════ +// Ancilla-light extended-carry constant adders (clean, emit_inverse-safe) +// ═══════════════════════════════════════════════════════════════════════════ +// +// These add/subtract a classical constant `c` to an (n+1)-bit accumulator +// `acc_ext` (= n-bit register + a top extension bit), capturing the carry/borrow +// into `acc_ext[n]` — exactly like the load-a-full-(n+1)-register + Cuccaro +// pattern in `add_nbit_const`/`csub_nbit_const`, but the loaded constant register +// is only `n = acc_ext.len() - 1` qubits wide (not n+1). For the round84 Solinas +// constant c = 2^256 - p = 2^32 + 977, which has highest set bit 32 ≪ n, the +// low-n register trivially holds it, and the clean carry-capturing Cuccaro +// (`cuccaro_add/sub_low_to_ext_clean`, X/CX/CCX only) folds the overflow into +// `acc_ext[n]`. This drops the +1-qubit transient of the materialized 257-wide +// `load_const` at the mid-sub peak. All four are measurement-free, so they are +// safe to replay under `emit_inverse`. + +/// `acc_ext := (acc_ext + c) mod 2^(n+1)` capturing carry into the top bit. +/// Drop-in value-replacement for `add_nbit_const` when the caller passes an +/// extended (n+1)-wide register and `c < 2^n`. pub(crate) fn add_nbit_const_extcarry_clean(b: &mut B, acc_ext: &[QubitId], c: U256) { add_nbit_const_extcarry_clean_with_cin(b, acc_ext, c, None); } +/// Same as [`add_nbit_const_extcarry_clean`] but optionally sources the Cuccaro +/// carry-in ancilla from a caller-supplied **clean (|0>) idle** qubit instead of +/// allocating a fresh one. When `borrow_cin = Some(q)`, `q` must be |0> on entry +/// and idle for the duration of this call; it is used as the carry-in slot and +/// returned to |0> (the clean MAJ/UMA sweep restores it). Sourcing the carry-in +/// from an existing live-but-idle lane removes the sole +1 fresh allocation that +/// pins the round84-lowq mid-sub peak at 1308 → 1307. Value-/phase-identical to +/// the fresh-ancilla path (the borrowed qubit plays the identical role). pub(crate) fn add_nbit_const_extcarry_clean_with_cin( b: &mut B, acc_ext: &[QubitId], @@ -260,6 +307,8 @@ pub(crate) fn add_nbit_const_extcarry_clean_with_cin( unload_const(b, &ca, c); } +/// `acc_ext := (acc_ext - c) mod 2^(n+1)` capturing borrow into the top bit. +/// Drop-in value-replacement for `sub_nbit_const`. pub(crate) fn sub_nbit_const_extcarry_clean(b: &mut B, acc_ext: &[QubitId], c: U256) { let ext = acc_ext.len(); debug_assert!(ext >= 1); @@ -271,6 +320,10 @@ pub(crate) fn sub_nbit_const_extcarry_clean(b: &mut B, acc_ext: &[QubitId], c: U unload_const(b, &ca, c); } +/// Controlled `acc_ext += (ctrl ? c : 0)` (mod 2^(n+1)), carry into top bit. +/// The constant is loaded as `(ctrl ? c : 0)` via CX-from-ctrl, so the +/// unconditional clean adder realizes the controlled add. Drop-in for +/// `cadd_nbit_const`. pub(crate) fn cadd_nbit_const_extcarry_clean( b: &mut B, acc_ext: &[QubitId], @@ -297,6 +350,8 @@ pub(crate) fn cadd_nbit_const_extcarry_clean( b.free_vec(&ca); } +/// Controlled `acc_ext -= (ctrl ? c : 0)` (mod 2^(n+1)), borrow into top bit. +/// Drop-in for `csub_nbit_const`. pub(crate) fn csub_nbit_const_extcarry_clean( b: &mut B, acc_ext: &[QubitId], @@ -306,6 +361,11 @@ pub(crate) fn csub_nbit_const_extcarry_clean( csub_nbit_const_extcarry_clean_with_cin(b, acc_ext, c, ctrl, None); } +/// Same as [`csub_nbit_const_extcarry_clean`] but optionally sources the Cuccaro +/// borrow-in ancilla from a caller-supplied clean (|0>) idle qubit. See +/// [`add_nbit_const_extcarry_clean_with_cin`] for the borrow contract. This is +/// the peak-binding call inside the round84-lowq mid-sub; borrowing its `c_in` +/// from the idle `a_ovf` lane drops the mid-sub peak 1308 → 1307. pub(crate) fn csub_nbit_const_extcarry_clean_with_cin( b: &mut B, acc_ext: &[QubitId], @@ -376,6 +436,22 @@ pub(crate) fn sub_nbit_const_fast(b: &mut B, acc: &[QubitId], c: U256) { unload_const(b, &a, c); } +// ═══════════════════════════════════════════════════════════════════════════ +// Modular multiplication +// ═══════════════════════════════════════════════════════════════════════════ +// +// Shift-and-add, MSB-to-LSB. `acc += x*y mod p`. Iteration: +// +// for i from n-1 down to 0: +// acc := 2*acc mod p +// if y[i]: acc := acc + x mod p +// +// For q*q mul, y[i] is a qubit; we implement the conditional add by +// CCX-copying x (gated on y[i]) into a temporary, adding, and +// uncopying. For q*b mul, y[i] is a classical bit and the copy is +// done with CX_if gates. + +/// Fast `v := 2*v mod p` using measurement-based Cuccaro. pub(crate) fn highest_set_bit(c: U256) -> usize { let mut hi = 0usize; for i in 0..256 { @@ -393,6 +469,14 @@ pub(crate) fn double_carry_trunc_window() -> Option { .filter(|&w| w > 0) } +/// Carry/borrow-tail truncation window for the pseudomersenne overflow/underflow +/// FOLD adders (the controlled `acc[..LSBS] += c` / `-= c` correction after a +/// raw 256-bit add/sub in the materialized-special apply path). Default OFF. +/// Same idea as `double_carry_trunc_window`: the secp256k1 constant +/// c = 2^32+977 is 7-bit-sparse, so the fold's carry ripple can stop a small +/// window above bit 32. Forward (cadd) and inverse (csub) read the same window, +/// so the reverse apply exactly inverts the forward when no truncation triggers +/// (the regime selected by the co-tuned reroll). pub(crate) fn fold_carry_trunc_window() -> Option { std::env::var("KAL_FOLD_CARRY_TRUNC_W") .ok() @@ -400,6 +484,24 @@ pub(crate) fn fold_carry_trunc_window() -> Option { .filter(|&w| w > 0) } +/// Default-OFF lever: realize the per-position-controls majority carry/borrow +/// recurrence in 2 CCX instead of 3, with NO ancilla (and no measurement). +/// +/// The 3-CCX block `target ^= maj(acc[i], cin, kc)` = +/// `acc·cin ⊕ kc·acc ⊕ kc·cin` is the genuine 3-distinct-input majority that +/// appears in [`cadd_per_position_controls_trunc`] / +/// [`csub_per_position_controls_trunc`] (the apply-phase fused double/halve +/// fold; per-position controls differ, so the single-`ctrl` De-Morgan AND-temp +/// does NOT apply here). It is exactly equal to +/// `acc·cin ⊕ kc·(acc ⊕ cin)`, which can be emitted as: +/// ccx(acc, cin, target); // target ^= acc·cin +/// cx(acc, cin); // cin' = acc ⊕ cin (transient; FREE) +/// ccx(kc, cin, target); // target ^= kc·(acc ⊕ cin) +/// cx(acc, cin); // restore cin (FREE) +/// = 2 CCX. `cin` is a borrow/carry ancilla that is read only at this position +/// (the next position reads `target`, not `cin`); it is restored before the +/// position completes, so the later sum-bit CX and the measurement-uncompute +/// (which read the *restored* `cin`) are untouched. Pure CCX/CX ⇒ no phase. pub(crate) fn perpos_maj2_enabled() -> bool { std::env::var("DIALOG_GCD_PERPOS_MAJ2").ok().as_deref() == Some("1") } @@ -421,6 +523,18 @@ fn borrowed_const_fold_carries( (carries, owned) } +/// Carry-tail-truncated controlled add of a sparse classical constant. +/// +/// Identical arithmetic to [`cadd_nbit_const_direct_fast`] except the forward +/// carry ripple (and the matching measurement-uncompute) is stopped `window` +/// bits above the constant's highest set bit `hi`. Carries `> hi + window` +/// are assumed 0; the corresponding high sum bits keep their input value. +/// This is exact unless a carry generated at/below `hi` propagates through an +/// unbroken run of `window + 1` ones in `acc` above `hi` — probability +/// ~2^-(window+1) per call for random `acc`. The carries `[0 ..= last]` follow +/// the exact same recurrence and post-sum identity as the full adder, so they +/// are returned cleanly to 0 (no phase / ancilla garbage); only the high sum +/// value is approximate. pub(crate) fn cadd_nbit_const_direct_trunc_fast( b: &mut B, acc: &[QubitId], @@ -455,6 +569,7 @@ pub(crate) fn cadd_nbit_const_direct_trunc_fast_borrowed_carries( let maj2 = fold_maj2_enabled(); let (carries, owned_carries) = borrowed_const_fold_carries(b, last + 1, borrowed_carries); + // Forward carry sweep, truncated at `last`. carry_{i+1} = maj(acc_i, k_i, carry_i). for i in 0..=last { let target = carries[i]; let carry_in = if i == 0 { None } else { Some(carries[i - 1]) }; @@ -469,6 +584,7 @@ pub(crate) fn cadd_nbit_const_direct_trunc_fast_borrowed_carries( } } + // Sum bits: acc_i ^= k_i ^ carry_{i-1}; carries above `last` are 0. for i in 0..n { if bit(c, i) { b.cx(ctrl, acc[i]); @@ -478,6 +594,7 @@ pub(crate) fn cadd_nbit_const_direct_trunc_fast_borrowed_carries( } } + // Measurement-uncompute carries in reverse (same identity as the full adder). for i in (0..=last).rev() { let m = b.alloc_bit(); b.hmr(carries[i], m); @@ -503,6 +620,10 @@ pub(crate) fn cadd_nbit_const_direct_trunc_fast_borrowed_carries( b.free_vec(&owned_carries); } +/// Carry-tail-truncated controlled subtract of a sparse classical constant. +/// Borrow analogue of [`cadd_nbit_const_direct_trunc_fast`]; the inverse used +/// by the apply-phase modular halve so that halve exactly inverts double when +/// neither truncation triggers (the regime selected by the co-tuned reroll). pub(crate) fn csub_nbit_const_direct_trunc_fast( b: &mut B, acc: &[QubitId], @@ -513,10 +634,10 @@ pub(crate) fn csub_nbit_const_direct_trunc_fast( csub_nbit_const_direct_trunc_fast_borrowed_carries(b, acc, c, ctrl, window, &[]); } -pub(crate) fn csub_nbit_const_direct_trunc_fast_borrowed_carries( - b: &mut B, - acc: &[QubitId], - c: U256, +pub(crate) fn csub_nbit_const_direct_trunc_fast_borrowed_carries( + b: &mut B, + acc: &[QubitId], + c: U256, ctrl: QubitId, window: usize, borrowed_carries: &[QubitId], @@ -537,6 +658,7 @@ pub(crate) fn csub_nbit_const_direct_trunc_fast_borrowed_carries( let maj2 = fold_maj2_enabled(); let (borrows, owned_borrows) = borrowed_const_fold_carries(b, last + 1, borrowed_carries); + // Forward borrow sweep, truncated at `last`. for i in 0..=last { let target = borrows[i]; let borrow_in = if i == 0 { None } else { Some(borrows[i - 1]) }; @@ -555,6 +677,7 @@ pub(crate) fn csub_nbit_const_direct_trunc_fast_borrowed_carries( } } + // Difference bits: acc_i ^= k_i ^ borrow_{i-1}; borrows above `last` are 0. for i in 0..n { if bit(c, i) { b.cx(ctrl, acc[i]); @@ -564,6 +687,7 @@ pub(crate) fn csub_nbit_const_direct_trunc_fast_borrowed_carries( } } + // Measurement-uncompute borrows in reverse (same identity as the full sub). for i in (0..=last).rev() { let m = b.alloc_bit(); b.hmr(borrows[i], m); @@ -580,294 +704,295 @@ pub(crate) fn csub_nbit_const_direct_trunc_fast_borrowed_carries( b.cz_if(acc[i], bi, m); } } - - b.free_vec(&owned_borrows); -} - -fn special_fold_park_low_carries() -> usize { - std::env::var("DIALOG_GCD_SPECIAL_FOLD_PARK_LOW_CARRIES") - .ok() - .and_then(|s| s.parse::().ok()) - .unwrap_or(0) -} - -fn special_fold_park_low_carries_at_step(step: Option) -> usize { - let mapped = step.and_then(|step| { - let map = - std::env::var("DIALOG_GCD_SPECIAL_FOLD_PARK_LOW_CARRIES_STEP_MAP").ok()?; - map.split(',').rev().find_map(|entry| { - let (raw_step, raw_value) = entry.trim().split_once(':')?; - if raw_step.trim().parse::().ok()? != step { - return None; - } - raw_value.trim().parse::().ok() - }) - }); - mapped.unwrap_or_else(special_fold_park_low_carries) -} - -fn cconst_nbit_direct_trunc_fast_parked( - b: &mut B, - acc: &[QubitId], - c: U256, - ctrl: QubitId, - window: usize, - park_low: usize, - is_add: bool, -) { - let n = acc.len(); - if n <= 1 { - if n == 1 && bit(c, 0) { - b.cx(ctrl, acc[0]); - } - return; - } - - let hi = highest_set_bit(c); - let last = core::cmp::min(n - 2, hi.saturating_add(window)); - let park_low = core::cmp::min(park_low, last.saturating_sub(hi)); - if park_low == 0 { - if is_add { - cadd_nbit_const_direct_trunc_fast(b, acc, c, ctrl, window); - } else { - csub_nbit_const_direct_trunc_fast(b, acc, c, ctrl, window); - } - return; - } - - let split = last - park_low; - let maj2 = fold_maj2_enabled(); - let prefix = b.alloc_qubits(split + 1); - let kctrl = |i: usize| bit(c, i).then_some(ctrl); - - for i in 0..=split { - let target = prefix[i]; - let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; - if is_add { - if let Some(kc) = kctrl(i) { - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - } else if let Some(ci) = carry_in { - b.ccx(acc[i], ci, target); - } - } else if let Some(kc) = kctrl(i) { - b.x(acc[i]); - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - b.x(acc[i]); - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.ccx(acc[i], ci, target); - b.x(acc[i]); - } - } - - for i in 0..=split { - if let Some(kc) = kctrl(i) { - b.cx(kc, acc[i]); - } - if i > 0 { - b.cx(prefix[i - 1], acc[i]); - } - } - - for i in (0..park_low).rev() { - let measured = b.alloc_bit(); - b.hmr(prefix[i], measured); - let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - measured, - i, - is_add, - ); - b.free(prefix[i]); - } - - let tail = b.alloc_qubits(park_low); - let carry = |i: usize| { - if i <= split { - prefix[i] - } else { - tail[i - split - 1] - } - }; - for i in split + 1..=last { - let target = carry(i); - let carry_in = carry(i - 1); - if is_add { - if let Some(kc) = kctrl(i) { - emit_fold_majority(b, acc[i], kc, carry_in, target, maj2); - } else { - b.ccx(acc[i], carry_in, target); - } - } else if let Some(kc) = kctrl(i) { - b.x(acc[i]); - emit_fold_majority(b, acc[i], kc, carry_in, target, maj2); - b.x(acc[i]); - } else { - b.x(acc[i]); - b.ccx(acc[i], carry_in, target); - b.x(acc[i]); - } - } - - for i in split + 1..n { - if let Some(kc) = kctrl(i) { - b.cx(kc, acc[i]); - } - if i - 1 <= last { - b.cx(carry(i - 1), acc[i]); - } - } - - for i in (split + 1..=last).rev() { - let measured = b.alloc_bit(); - b.hmr(carry(i), measured); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - Some(carry(i - 1)), - measured, - i, - is_add, - ); - b.free(carry(i)); - } - drop(tail); - - for i in 0..park_low { - b.reacquire(prefix[i]); - let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; - fold_postsum_carry_compute( - b, - acc, - kctrl(i), - carry_in, - prefix[i], - i, - is_add, - ); - } - - for i in (0..=split).rev() { - let measured = b.alloc_bit(); - b.hmr(prefix[i], measured); - let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - measured, - i, - is_add, - ); - b.free(prefix[i]); - } -} - -pub(crate) fn cadd_nbit_const_direct_trunc_fast_releasing_scratch( - b: &mut B, - acc: &[QubitId], - c: U256, - ctrl: QubitId, - window: usize, - releasable_scratch: &[QubitId], -) { - cadd_nbit_const_direct_trunc_fast_releasing_scratch_at_step( - b, - acc, - c, - ctrl, - window, - releasable_scratch, - None, - ); -} - -pub(crate) fn cadd_nbit_const_direct_trunc_fast_releasing_scratch_at_step( - b: &mut B, - acc: &[QubitId], - c: U256, - ctrl: QubitId, - window: usize, - releasable_scratch: &[QubitId], - step: Option, -) { - let park_low = special_fold_park_low_carries_at_step(step); - if park_low == 0 || releasable_scratch.is_empty() { - cadd_nbit_const_direct_trunc_fast_borrowed_carries( - b, - acc, - c, - ctrl, - window, - releasable_scratch, - ); - return; - } - b.free_vec(releasable_scratch); - cconst_nbit_direct_trunc_fast_parked(b, acc, c, ctrl, window, park_low, true); - b.reacquire_vec(releasable_scratch); -} - -pub(crate) fn csub_nbit_const_direct_trunc_fast_releasing_scratch( - b: &mut B, - acc: &[QubitId], - c: U256, - ctrl: QubitId, - window: usize, - releasable_scratch: &[QubitId], -) { - csub_nbit_const_direct_trunc_fast_releasing_scratch_at_step( - b, - acc, - c, - ctrl, - window, - releasable_scratch, - None, - ); -} - -pub(crate) fn csub_nbit_const_direct_trunc_fast_releasing_scratch_at_step( - b: &mut B, - acc: &[QubitId], - c: U256, - ctrl: QubitId, - window: usize, - releasable_scratch: &[QubitId], - step: Option, -) { - let park_low = special_fold_park_low_carries_at_step(step); - if park_low == 0 || releasable_scratch.is_empty() { - csub_nbit_const_direct_trunc_fast_borrowed_carries( - b, - acc, - c, - ctrl, - window, - releasable_scratch, - ); - return; - } - b.free_vec(releasable_scratch); - cconst_nbit_direct_trunc_fast_parked(b, acc, c, ctrl, window, park_low, false); - b.reacquire_vec(releasable_scratch); -} - -pub(crate) fn cadd_per_position_controls_trunc( + + b.free_vec(&owned_borrows); +} + +fn special_fold_park_low_carries() -> usize { + std::env::var("DIALOG_GCD_SPECIAL_FOLD_PARK_LOW_CARRIES") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0) +} + +fn special_fold_park_low_carries_at_step(step: Option) -> usize { + let mapped = step.and_then(|step| { + let map = + std::env::var("DIALOG_GCD_SPECIAL_FOLD_PARK_LOW_CARRIES_STEP_MAP").ok()?; + map.split(',').rev().find_map(|entry| { + let (raw_step, raw_value) = entry.trim().split_once(':')?; + if raw_step.trim().parse::().ok()? != step { + return None; + } + raw_value.trim().parse::().ok() + }) + }); + mapped.unwrap_or_else(special_fold_park_low_carries) +} + +fn cconst_nbit_direct_trunc_fast_parked( + b: &mut B, + acc: &[QubitId], + c: U256, + ctrl: QubitId, + window: usize, + park_low: usize, + is_add: bool, +) { + let n = acc.len(); + if n <= 1 { + if n == 1 && bit(c, 0) { + b.cx(ctrl, acc[0]); + } + return; + } + + let hi = highest_set_bit(c); + let last = core::cmp::min(n - 2, hi.saturating_add(window)); + let park_low = core::cmp::min(park_low, last.saturating_sub(hi)); + if park_low == 0 { + if is_add { + cadd_nbit_const_direct_trunc_fast(b, acc, c, ctrl, window); + } else { + csub_nbit_const_direct_trunc_fast(b, acc, c, ctrl, window); + } + return; + } + + let split = last - park_low; + let maj2 = fold_maj2_enabled(); + let prefix = b.alloc_qubits(split + 1); + let kctrl = |i: usize| bit(c, i).then_some(ctrl); + + for i in 0..=split { + let target = prefix[i]; + let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; + if is_add { + if let Some(kc) = kctrl(i) { + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + } else if let Some(ci) = carry_in { + b.ccx(acc[i], ci, target); + } + } else if let Some(kc) = kctrl(i) { + b.x(acc[i]); + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + b.x(acc[i]); + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.ccx(acc[i], ci, target); + b.x(acc[i]); + } + } + + for i in 0..=split { + if let Some(kc) = kctrl(i) { + b.cx(kc, acc[i]); + } + if i > 0 { + b.cx(prefix[i - 1], acc[i]); + } + } + + for i in (0..park_low).rev() { + let measured = b.alloc_bit(); + b.hmr(prefix[i], measured); + let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + measured, + i, + is_add, + ); + b.free(prefix[i]); + } + + let tail = b.alloc_qubits(park_low); + let carry = |i: usize| { + if i <= split { + prefix[i] + } else { + tail[i - split - 1] + } + }; + for i in split + 1..=last { + let target = carry(i); + let carry_in = carry(i - 1); + if is_add { + if let Some(kc) = kctrl(i) { + emit_fold_majority(b, acc[i], kc, carry_in, target, maj2); + } else { + b.ccx(acc[i], carry_in, target); + } + } else if let Some(kc) = kctrl(i) { + b.x(acc[i]); + emit_fold_majority(b, acc[i], kc, carry_in, target, maj2); + b.x(acc[i]); + } else { + b.x(acc[i]); + b.ccx(acc[i], carry_in, target); + b.x(acc[i]); + } + } + + for i in split + 1..n { + if let Some(kc) = kctrl(i) { + b.cx(kc, acc[i]); + } + if i - 1 <= last { + b.cx(carry(i - 1), acc[i]); + } + } + + for i in (split + 1..=last).rev() { + let measured = b.alloc_bit(); + b.hmr(carry(i), measured); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + Some(carry(i - 1)), + measured, + i, + is_add, + ); + b.free(carry(i)); + } + drop(tail); + + for i in 0..park_low { + b.reacquire(prefix[i]); + let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; + fold_postsum_carry_compute( + b, + acc, + kctrl(i), + carry_in, + prefix[i], + i, + is_add, + ); + } + + for i in (0..=split).rev() { + let measured = b.alloc_bit(); + b.hmr(prefix[i], measured); + let carry_in = if i == 0 { None } else { Some(prefix[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + measured, + i, + is_add, + ); + b.free(prefix[i]); + } +} + +pub(crate) fn cadd_nbit_const_direct_trunc_fast_releasing_scratch( + b: &mut B, + acc: &[QubitId], + c: U256, + ctrl: QubitId, + window: usize, + releasable_scratch: &[QubitId], +) { + cadd_nbit_const_direct_trunc_fast_releasing_scratch_at_step( + b, + acc, + c, + ctrl, + window, + releasable_scratch, + None, + ); +} + +pub(crate) fn cadd_nbit_const_direct_trunc_fast_releasing_scratch_at_step( + b: &mut B, + acc: &[QubitId], + c: U256, + ctrl: QubitId, + window: usize, + releasable_scratch: &[QubitId], + step: Option, +) { + let park_low = special_fold_park_low_carries_at_step(step); + if park_low == 0 || releasable_scratch.is_empty() { + cadd_nbit_const_direct_trunc_fast_borrowed_carries( + b, + acc, + c, + ctrl, + window, + releasable_scratch, + ); + return; + } + b.free_vec(releasable_scratch); + cconst_nbit_direct_trunc_fast_parked(b, acc, c, ctrl, window, park_low, true); + b.reacquire_vec(releasable_scratch); +} + +pub(crate) fn csub_nbit_const_direct_trunc_fast_releasing_scratch( + b: &mut B, + acc: &[QubitId], + c: U256, + ctrl: QubitId, + window: usize, + releasable_scratch: &[QubitId], +) { + csub_nbit_const_direct_trunc_fast_releasing_scratch_at_step( + b, + acc, + c, + ctrl, + window, + releasable_scratch, + None, + ); +} + +pub(crate) fn csub_nbit_const_direct_trunc_fast_releasing_scratch_at_step( + b: &mut B, + acc: &[QubitId], + c: U256, + ctrl: QubitId, + window: usize, + releasable_scratch: &[QubitId], + step: Option, +) { + let park_low = special_fold_park_low_carries_at_step(step); + if park_low == 0 || releasable_scratch.is_empty() { + csub_nbit_const_direct_trunc_fast_borrowed_carries( + b, + acc, + c, + ctrl, + window, + releasable_scratch, + ); + return; + } + b.free_vec(releasable_scratch); + cconst_nbit_direct_trunc_fast_parked(b, acc, c, ctrl, window, park_low, false); + b.reacquire_vec(releasable_scratch); +} + + +pub(crate) fn cadd_per_position_controls_trunc( b: &mut B, acc: &[QubitId], controls: &[Option], @@ -886,6 +1011,7 @@ pub(crate) fn cadd_per_position_controls_trunc( let maj2 = perpos_maj2_enabled(); let carries = b.alloc_qubits(last + 1); + // Forward carry sweep, truncated at `last`. carry_i = maj(acc_i, k_i, carry_{i-1}). for i in 0..=last { let target = carries[i]; let carry_in = if i == 0 { None } else { Some(carries[i - 1]) }; @@ -900,6 +1026,7 @@ pub(crate) fn cadd_per_position_controls_trunc( } } + // Sum bits: acc_i ^= k_i ^ carry_{i-1}; carries above `last` are 0. for i in 0..n { if let Some(kc) = kctrl(i) { b.cx(kc, acc[i]); @@ -909,6 +1036,7 @@ pub(crate) fn cadd_per_position_controls_trunc( } } + // Measurement-uncompute carries in reverse (free; same identity as the adder). for i in (0..=last).rev() { let m = b.alloc_bit(); b.hmr(carries[i], m); @@ -953,6 +1081,7 @@ pub(crate) fn csub_per_position_controls_trunc( let maj2 = perpos_maj2_enabled(); let borrows = b.alloc_qubits(last + 1); + // Forward borrow sweep, truncated at `last`. for i in 0..=last { let target = borrows[i]; let borrow_in = if i == 0 { None } else { Some(borrows[i - 1]) }; @@ -971,6 +1100,7 @@ pub(crate) fn csub_per_position_controls_trunc( } } + // Difference bits: acc_i ^= k_i ^ borrow_{i-1}; borrows above `last` are 0. for i in 0..n { if let Some(kc) = kctrl(i) { b.cx(kc, acc[i]); @@ -980,6 +1110,7 @@ pub(crate) fn csub_per_position_controls_trunc( } } + // Measurement-uncompute borrows in reverse (free; same identity as the sub). for i in (0..=last).rev() { let m = b.alloc_bit(); b.hmr(borrows[i], m); @@ -1000,268 +1131,312 @@ pub(crate) fn csub_per_position_controls_trunc( b.free_vec(&borrows); } +/// Default-OFF lever for the apply-phase fused double_y / halve_y fold ripple. +/// +/// The fused fold `y ±= δ = c·e + 2c·d` (`c = 2^32+977`) has per-position +/// controls only at positions ≤ `hi_delta = 33`; positions `(33, last]` are a +/// pure carry/borrow PROPAGATION tail (constant bit 0). The baseline keeps all +/// eight fold ancillae (`e,d,h,xed,eord,n10` + the two overflow holders) live +/// for the WHOLE ripple — including across the wide high tail, which is the +/// double_y/halve_y high-water (`floor + 8 + 34 + W`, `W = KAL_DOUBLE_CARRY_TRUNC_W`). +/// +/// This lever frees the FOUR purely-`e,d`-derived controls (`h,xed,eord,n10`) +/// after the active region `[0..=hi]` and before the high tail, then recomputes +/// them (cheap: free CX from `e,d`, plus one AND for `h`) just for the carry +/// uncompute pass. Net the high-tail high-water drops from `+8` to `+4` ancillae +/// (the two overflow holders `e,d` remain, plus the caller's two `ovf` qubits), +/// i.e. the fold floor falls by 4 qubits, value/phase-EXACT (identical arithmetic +/// and identical truncation `last`; only the ancilla lifetime is tightened). pub(crate) fn fold_freed_tail_enabled() -> bool { std::env::var("DIALOG_GCD_FOLD_FREED_TAIL").ok().as_deref() == Some("1") } -pub(crate) fn fold_freed_tail_ed_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_FREED_TAIL_ED") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn fold_host_derived_controls_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_DERIVED_CONTROLS") - .ok() - .as_deref() - == Some("1") -} - -fn fold_host_n10_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_N10") - .ok() - .as_deref() - == Some("1") -} - -fn fold_host_h_n10_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_H_N10") - .ok() - .as_deref() - == Some("1") -} - -fn fold_host_h_xed_n10_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_H_XED_N10") - .ok() - .as_deref() - == Some("1") -} - -fn fold_host_e_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_E") - .ok() - .as_deref() - == Some("1") -} - -fn fold_host_d_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_D") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn fold_only_carry_trunc_window() -> Option { - std::env::var("DIALOG_GCD_FOLD_CARRY_TRUNC_W") - .ok() - .and_then(|s| s.parse::().ok()) - .filter(|&w| w > 0) -} - -fn fold_park_low_carries() -> usize { - std::env::var("DIALOG_GCD_FOLD_PARK_LOW_CARRIES") - .ok() - .and_then(|s| s.parse::().ok()) - .unwrap_or(0) -} - -pub(crate) fn fold_park_low_carries_at_step(step: Option) -> usize { - let mapped = step.and_then(|step| { - let map = std::env::var("DIALOG_GCD_FOLD_PARK_LOW_CARRIES_STEP_MAP").ok()?; - map.split(',').rev().find_map(|entry| { - let (raw_step, raw_value) = entry.trim().split_once(':')?; - if raw_step.trim().parse::().ok()? != step { - return None; - } - raw_value.trim().parse::().ok() - }) - }); - mapped.unwrap_or_else(fold_park_low_carries) -} - -pub(crate) fn fold_stream_controls_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_STREAM_CONTROLS") - .ok() - .as_deref() - == Some("1") - && fold_park_low_carries() >= 12 -} - -fn fold_host_streamed_control_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_STREAMED_CONTROL") - .ok() - .as_deref() - == Some("1") - && fold_park_low_carries() >= 13 -} - -fn fold_host_e_top_carry_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_E_TOP_CARRY") - .ok() - .as_deref() - == Some("1") -} - -fn fold_host_d_carry12_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_D_CARRY12") - .ok() - .as_deref() - == Some("1") - && fold_park_low_carries() >= 14 -} - -fn fold_host_ovf2_carry13_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_HOST_OVF2_CARRY13") - .ok() - .as_deref() - == Some("1") - && fold_park_low_carries() >= 15 -} - -fn fold_free_first_high_carry_enabled() -> bool { - std::env::var("DIALOG_GCD_FOLD_FREE_FIRST_HIGH_CARRY") - .ok() - .as_deref() - == Some("1") -} - -fn fold_stream_profile_phase(b: &mut B, add_phase: &'static str, sub_phase: &'static str, is_add: bool) { - if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { - b.set_phase(if is_add { add_phase } else { sub_phase }); - } -} - -fn fold_postsum_carry_phase_uncompute( - b: &mut B, - acc: &[QubitId], - kctrl: Option, - carry_in: Option, - measured: BitId, - i: usize, - is_add: bool, -) { - if is_add { - if let Some(kc) = kctrl { - b.x(acc[i]); - if let Some(ci) = carry_in { - b.cz_if(acc[i], kc, measured); - b.cz_if(acc[i], ci, measured); - b.x(acc[i]); - b.cz_if(kc, ci, measured); - } else { - b.cz_if(acc[i], kc, measured); - b.x(acc[i]); - } - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.cz_if(acc[i], ci, measured); - b.x(acc[i]); - } - } else if let Some(kc) = kctrl { - if let Some(ci) = carry_in { - b.cz_if(acc[i], kc, measured); - b.cz_if(acc[i], ci, measured); - b.cz_if(kc, ci, measured); - } else { - b.cz_if(acc[i], kc, measured); - } - } else if let Some(ci) = carry_in { - b.cz_if(acc[i], ci, measured); - } -} - -fn fold_postsum_carry_compute( - b: &mut B, - acc: &[QubitId], - kctrl: Option, - carry_in: Option, - target: QubitId, - i: usize, - is_add: bool, -) { - if is_add { - if let Some(kc) = kctrl { - b.x(acc[i]); - if let Some(ci) = carry_in { - emit_fold_majority( - b, - acc[i], - kc, - ci, - target, - perpos_maj2_enabled(), - ); - b.x(acc[i]); - } else { - b.ccx(acc[i], kc, target); - b.x(acc[i]); - } - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.ccx(acc[i], ci, target); - b.x(acc[i]); - } - } else if let Some(kc) = kctrl { - if let Some(ci) = carry_in { - emit_fold_majority( - b, - acc[i], - kc, - ci, - target, - perpos_maj2_enabled(), - ); - } else { - b.ccx(acc[i], kc, target); - } - } else if let Some(ci) = carry_in { - b.ccx(acc[i], ci, target); - } -} - -fn fold_presum_carry_compute_and_sum( - b: &mut B, - acc: &[QubitId], - kctrl: Option, - carry_in: Option, - target: QubitId, - i: usize, - is_add: bool, - maj2: bool, -) { - if is_add { - if let Some(kc) = kctrl { - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - } else if let Some(ci) = carry_in { - b.ccx(acc[i], ci, target); - } - } else if let Some(kc) = kctrl { - b.x(acc[i]); - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - b.x(acc[i]); - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.ccx(acc[i], ci, target); - b.x(acc[i]); - } - if let Some(kc) = kctrl { - b.cx(kc, acc[i]); - } - if let Some(ci) = carry_in { - b.cx(ci, acc[i]); - } -} - +/// e,d-extension of the freed-tail lever (HYP-6 §4a). When ON (and the freed-tail +/// itself is ON), the fused-fold ripple ALSO releases the two base controls `e,d` +/// across the wide high tail — not just the four `e,d`-derived controls +/// (`h,xed,eord,n10`). `e,d` are dead as controls in the tail (all their fold +/// positions sit at ≤ `hi_delta = 33`), and both are recomputable from the live +/// overflow lanes via `d = ovf1 & s2`, `e = ovf1 ^ d ^ ovf2` (the SAME relation +/// holds in both the forward double_y fold and the inverse halve_y fold — see the +/// dispatch sites). Freeing `e,d` too drops the wide-tail high-water from `+4` to +/// `+2` ancillae, i.e. the fold floor falls a further 2 qubits (1220 → 1218 at +/// W=19), value/phase-EXACT (identical arithmetic; only ancilla lifetime tightens; +/// cost = a handful of CX + 1 CCX/call to re-derive `d`). Default OFF ⇒ the +/// freed-tail path is byte-identical to before this lever existed. +pub(crate) fn fold_freed_tail_ed_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_FREED_TAIL_ED") + .ok() + .as_deref() + == Some("1") +} + +/// Reuse four future-zero low-carry slots as the derived fold controls +/// (`h,xed,eord,n10`) while processing the sparse constant region. The original +/// control qubits are released before the 34-qubit low-carry lane is allocated +/// and restored only after carries 12..33 have been uncomputed. This is +/// value/phase exact and removes four qubits from the fused-fold high-water. +pub(crate) fn fold_host_derived_controls_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_DERIVED_CONTROLS") + .ok() + .as_deref() + == Some("1") +} + +fn fold_host_n10_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_N10") + .ok() + .as_deref() + == Some("1") +} + +fn fold_host_h_n10_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_H_N10") + .ok() + .as_deref() + == Some("1") +} + +fn fold_host_h_xed_n10_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_H_XED_N10") + .ok() + .as_deref() + == Some("1") +} + +fn fold_host_e_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_E") + .ok() + .as_deref() + == Some("1") +} + +fn fold_host_d_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_D") + .ok() + .as_deref() + == Some("1") +} + +/// Per-call carry window override for the FUSED FOLD only (`double_y`/`halve_y`), +/// decoupled from the GCD-walk's `KAL_DOUBLE_CARRY_TRUNC_W`. When set it caps the +/// fold ripple at `hi_delta + W_fold`; unset = inherit the GCD-walk window +/// (byte-identical base). Lowering it shrinks the fold high-water 1-for-1 +/// (`floor + 42 + W_fold`) at the cost of a slightly higher fold-carry-escape +/// truncation rate (the same FS-island hazard class the shared window already +/// carries — see KAL_DOUBLE_CARRY_TRUNC_W). +pub(crate) fn fold_only_carry_trunc_window() -> Option { + std::env::var("DIALOG_GCD_FOLD_CARRY_TRUNC_W") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&w| w > 0) +} + +fn fold_park_low_carries() -> usize { + std::env::var("DIALOG_GCD_FOLD_PARK_LOW_CARRIES") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0) +} + +pub(crate) fn fold_park_low_carries_at_step(step: Option) -> usize { + let mapped = step.and_then(|step| { + let map = std::env::var("DIALOG_GCD_FOLD_PARK_LOW_CARRIES_STEP_MAP").ok()?; + map.split(',').rev().find_map(|entry| { + let (raw_step, raw_value) = entry.trim().split_once(':')?; + if raw_step.trim().parse::().ok()? != step { + return None; + } + raw_value.trim().parse::().ok() + }) + }); + mapped.unwrap_or_else(fold_park_low_carries) +} + +pub(crate) fn fold_stream_controls_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_STREAM_CONTROLS") + .ok() + .as_deref() + == Some("1") + && fold_park_low_carries() >= 12 +} + +fn fold_host_streamed_control_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_STREAMED_CONTROL") + .ok() + .as_deref() + == Some("1") + && fold_park_low_carries() >= 13 +} + +fn fold_host_e_top_carry_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_E_TOP_CARRY") + .ok() + .as_deref() + == Some("1") +} + +fn fold_host_d_carry12_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_D_CARRY12") + .ok() + .as_deref() + == Some("1") + && fold_park_low_carries() >= 14 +} + +fn fold_host_ovf2_carry13_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_HOST_OVF2_CARRY13") + .ok() + .as_deref() + == Some("1") + && fold_park_low_carries() >= 15 +} + +fn fold_free_first_high_carry_enabled() -> bool { + std::env::var("DIALOG_GCD_FOLD_FREE_FIRST_HIGH_CARRY") + .ok() + .as_deref() + == Some("1") +} + +fn fold_stream_profile_phase(b: &mut B, add_phase: &'static str, sub_phase: &'static str, is_add: bool) { + if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { + b.set_phase(if is_add { add_phase } else { sub_phase }); + } +} + +fn fold_postsum_carry_phase_uncompute( + b: &mut B, + acc: &[QubitId], + kctrl: Option, + carry_in: Option, + measured: BitId, + i: usize, + is_add: bool, +) { + if is_add { + if let Some(kc) = kctrl { + b.x(acc[i]); + if let Some(ci) = carry_in { + b.cz_if(acc[i], kc, measured); + b.cz_if(acc[i], ci, measured); + b.x(acc[i]); + b.cz_if(kc, ci, measured); + } else { + b.cz_if(acc[i], kc, measured); + b.x(acc[i]); + } + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.cz_if(acc[i], ci, measured); + b.x(acc[i]); + } + } else if let Some(kc) = kctrl { + if let Some(ci) = carry_in { + b.cz_if(acc[i], kc, measured); + b.cz_if(acc[i], ci, measured); + b.cz_if(kc, ci, measured); + } else { + b.cz_if(acc[i], kc, measured); + } + } else if let Some(ci) = carry_in { + b.cz_if(acc[i], ci, measured); + } +} + +fn fold_postsum_carry_compute( + b: &mut B, + acc: &[QubitId], + kctrl: Option, + carry_in: Option, + target: QubitId, + i: usize, + is_add: bool, +) { + if is_add { + if let Some(kc) = kctrl { + b.x(acc[i]); + if let Some(ci) = carry_in { + emit_fold_majority( + b, + acc[i], + kc, + ci, + target, + perpos_maj2_enabled(), + ); + b.x(acc[i]); + } else { + b.ccx(acc[i], kc, target); + b.x(acc[i]); + } + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.ccx(acc[i], ci, target); + b.x(acc[i]); + } + } else if let Some(kc) = kctrl { + if let Some(ci) = carry_in { + emit_fold_majority( + b, + acc[i], + kc, + ci, + target, + perpos_maj2_enabled(), + ); + } else { + b.ccx(acc[i], kc, target); + } + } else if let Some(ci) = carry_in { + b.ccx(acc[i], ci, target); + } +} + +fn fold_presum_carry_compute_and_sum( + b: &mut B, + acc: &[QubitId], + kctrl: Option, + carry_in: Option, + target: QubitId, + i: usize, + is_add: bool, + maj2: bool, +) { + if is_add { + if let Some(kc) = kctrl { + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + } else if let Some(ci) = carry_in { + b.ccx(acc[i], ci, target); + } + } else if let Some(kc) = kctrl { + b.x(acc[i]); + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + b.x(acc[i]); + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.ccx(acc[i], ci, target); + b.x(acc[i]); + } + if let Some(kc) = kctrl { + b.cx(kc, acc[i]); + } + if let Some(ci) = carry_in { + b.cx(ci, acc[i]); + } +} + +/// Build the secp256k1 fold per-position control vector `δ = c·e + 2c·d` +/// (`c = 2^32+977`) from the base controls `e,d` and the four derived controls +/// `h = e&d`, `xed = e^d`, `eord = e|d`, `n10 = ¬e&d`. Shared by the baseline +/// fused double_y/halve_y and the freed-tail lever so the arithmetic is identical. pub(crate) fn secp_fold_controls( e: QubitId, d: QubitId, @@ -1283,12 +1458,21 @@ pub(crate) fn secp_fold_controls( controls[9] = Some(eord); controls[10] = Some(n10); controls[11] = Some(h); - controls[hi_c] = Some(e); - controls[hi_delta] = Some(d); + controls[hi_c] = Some(e); // bit 32 + controls[hi_delta] = Some(d); // bit 33 controls } -pub(crate) fn fold_ripple_freed_tail( +/// Freed-tail fold ripple (gated by [`fold_freed_tail_enabled`]). Value/phase +/// identical to `cadd_per_position_controls_trunc(acc, secp_fold_controls(...), +/// last)` but the four `e,d`-derived controls (`h,xed,eord,n10`) are released +/// before the wide high tail and recomputed only for the carry uncompute pass, +/// dropping the high-tail high-water by 4 ancillae. `is_add=false` runs the +/// borrow (subtract) variant for halve_y. `e`,`d` are read-only here; the caller +/// owns `h,xed,eord,n10` allocation/free — this routine consumes them via `free` +/// and the caller must NOT free them again (it re-derives `xed,eord,n10` from a +/// fresh alloc on return is NOT needed: this fn fully owns their lifetime). +pub(crate) fn fold_ripple_freed_tail( b: &mut B, acc: &[QubitId], e: QubitId, @@ -1300,1427 +1484,1476 @@ pub(crate) fn fold_ripple_freed_tail( last: usize, is_add: bool, ) { + // Without the e,d-extension `e,d` are held live across the whole ripple. + fold_ripple_freed_tail_ed( + b, acc, e, d, h, xed, eord, n10, None, None, last, is_add, + ); +} + +/// Low-qubit fused-fold ripple that never materializes the four derived controls +/// simultaneously. A single ancilla walks through xed, eord, n10, and h in both +/// the forward and reverse low-carry sweeps. +pub(crate) fn fold_ripple_freed_tail_ed_streamed( + b: &mut B, + acc: &[QubitId], + e: QubitId, + d: QubitId, + ed: Option<(QubitId, QubitId, QubitId)>, + park_low: usize, + last: usize, + is_add: bool, +) { + let free_ed = ed.is_some() && fold_freed_tail_ed_enabled(); + let n = acc.len(); + let hi_delta = 33usize; + debug_assert!(last < n); + debug_assert!(last > hi_delta, "freed-tail requires a nonempty high tail"); + let park_low = core::cmp::min(park_low, hi_delta); + assert!( + park_low >= 12, + "streamed fold controls require at least 12 parked carries" + ); + let host_streamed = fold_host_streamed_control_enabled(); + let host_e_top = free_ed && fold_host_e_top_carry_enabled(); + let host_d_carry12 = + host_e_top && fold_host_d_carry12_enabled(); + let host_ovf2_carry13 = + host_d_carry12 && fold_host_ovf2_carry13_enabled(); + let maj2 = perpos_maj2_enabled(); + let kctrl = |i: usize| match i { + 0 | 4 | 6 | 32 => Some(e), + 1 | 5 | 33 => Some(d), + _ => None, + }; + fold_stream_profile_phase( + b, + "dialog_gcd_streamed_double_active", + "dialog_gcd_streamed_halve_active", + is_add, + ); + let low_chain_last = if host_e_top { + hi_delta - 1 + } else { + hi_delta + }; + let mut low = b.alloc_qubits( + low_chain_last + 1 + - usize::from(host_d_carry12) + - usize::from(host_ovf2_carry13), + ); + if host_d_carry12 { + low.insert(12, d); + } + if host_ovf2_carry13 { + let (_, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); + low.insert(13, ovf2); + let (ovf1, _, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); + b.cx(ovf1, ovf2); + b.cx(d, ovf2); + b.cx(e, ovf2); + } + let streamed_slot = low[park_low - 1]; + + for i in 0..7 { + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_presum_carry_compute_and_sum( + b, + acc, + kctrl(i), + carry_in, + low[i], + i, + is_add, + maj2, + ); + } + let streamed = if host_streamed { + streamed_slot + } else { + b.alloc_qubit() + }; + b.cx(e, streamed); + b.cx(d, streamed); + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[6]), + low[7], + 7, + is_add, + maj2, + ); + b.ccx(e, d, streamed); + for i in 8..10 { + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[i - 1]), + low[i], + i, + is_add, + maj2, + ); + } + b.cx(e, streamed); + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[9]), + low[10], + 10, + is_add, + maj2, + ); + b.cx(d, streamed); + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[10]), + low[11], + 11, + is_add, + maj2, + ); + if host_streamed { + b.ccx(e, d, streamed); + } + if host_d_carry12 { + let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); + b.ccx(ovf1, s2, d); + } + for i in 12..=low_chain_last { + fold_presum_carry_compute_and_sum( + b, + acc, + kctrl(i), + Some(low[i - 1]), + low[i], + i, + is_add, + maj2, + ); + } + + let free_first_high_carry = fold_free_first_high_carry_enabled() + && park_low < low_chain_last + && !(host_d_carry12 && park_low == 12) + && !(host_ovf2_carry13 && park_low == 13); + if free_first_high_carry { + let m = b.alloc_bit(); + b.hmr(low[park_low], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(park_low), + Some(low[park_low - 1]), + m, + park_low, + is_add, + ); + b.free(low[park_low]); + } + + for i in (12..park_low).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + if host_d_carry12 { + let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); + b.reacquire(d); + b.ccx(ovf1, s2, d); + } + if host_streamed { + b.reacquire(streamed); + b.ccx(e, d, streamed); + } + let m11 = b.alloc_bit(); + b.hmr(low[11], m11); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[10]), + m11, + 11, + is_add, + ); + b.free(low[11]); + b.cx(d, streamed); + let m10 = b.alloc_bit(); + b.hmr(low[10], m10); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[9]), + m10, + 10, + is_add, + ); + b.free(low[10]); + b.cx(e, streamed); + for i in (8..10).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + b.ccx(e, d, streamed); + let m7 = b.alloc_bit(); + b.hmr(low[7], m7); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[6]), + m7, + 7, + is_add, + ); + b.free(low[7]); + b.cx(d, streamed); + b.cx(e, streamed); + b.free(streamed); + for i in (0..7).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + + if host_ovf2_carry13 { + let (ovf1, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); + b.reacquire(ovf2); + b.cx(ovf1, ovf2); + b.cx(d, ovf2); + b.cx(e, ovf2); + } + + if host_e_top { + let (ovf1, ovf2, _) = ed.expect("host_e_top implies ed is Some"); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + fold_presum_carry_compute_and_sum( + b, + acc, + Some(d), + Some(low[hi_delta - 1]), + e, + hi_delta, + is_add, + maj2, + ); + } + + if free_ed { + let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); + if !host_e_top { + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + b.free(e); + } + let md = b.alloc_bit(); + b.hmr(d, md); + b.cz_if(ovf1, s2, md); + b.free(d); + } + + fold_stream_profile_phase( + b, + "dialog_gcd_streamed_double_tail", + "dialog_gcd_streamed_halve_tail", + is_add, + ); + let tail_len = last - hi_delta; + let tail = b.alloc_qubits(tail_len); + let cw = |i: usize| -> QubitId { + if i < hi_delta { + low[i] + } else if i == hi_delta { + if host_e_top { + e + } else { + low[i] + } + } else { + tail[i - hi_delta - 1] + } + }; + for i in hi_delta + 1..=last { + if is_add { + b.ccx(acc[i], cw(i - 1), cw(i)); + } else { + b.x(acc[i]); + b.ccx(acc[i], cw(i - 1), cw(i)); + b.x(acc[i]); + } + } + for i in hi_delta + 1..n { + if i - 1 <= last { + b.cx(cw(i - 1), acc[i]); + } + } + for i in (hi_delta + 1..=last).rev() { + let m = b.alloc_bit(); + b.hmr(cw(i), m); + let carry_in = cw(i - 1); + if is_add { + b.x(acc[i]); + b.cz_if(acc[i], carry_in, m); + b.x(acc[i]); + } else { + b.cz_if(acc[i], carry_in, m); + } + b.free(cw(i)); + } + drop(tail); + + fold_stream_profile_phase( + b, + "dialog_gcd_streamed_double_reverse", + "dialog_gcd_streamed_halve_reverse", + is_add, + ); + if free_ed { + let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); + b.reacquire(d); + b.ccx(ovf1, s2, d); + if host_e_top { + let m_top = b.alloc_bit(); + b.hmr(e, m_top); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(d), + Some(low[hi_delta - 1]), + m_top, + hi_delta, + is_add, + ); + b.free(e); + } + b.reacquire(e); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + } + if host_ovf2_carry13 { + let (ovf1, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); + b.cx(ovf1, ovf2); + b.cx(d, ovf2); + b.cx(e, ovf2); + } + + for i in 0..park_low { + if !(host_d_carry12 && i == 12) + && !(host_ovf2_carry13 && i == 13) + { + b.reacquire(low[i]); + } + } + for i in 0..7 { + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_compute( + b, + acc, + kctrl(i), + carry_in, + low[i], + i, + is_add, + ); + } + let streamed = if host_streamed { + streamed_slot + } else { + b.alloc_qubit() + }; + b.cx(e, streamed); + b.cx(d, streamed); + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[6]), + low[7], + 7, + is_add, + ); + b.ccx(e, d, streamed); + for i in 8..10 { + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[i - 1]), + low[i], + i, + is_add, + ); + } + b.cx(e, streamed); + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[9]), + low[10], + 10, + is_add, + ); + b.cx(d, streamed); + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[10]), + low[11], + 11, + is_add, + ); + if host_streamed { + b.ccx(e, d, streamed); + } + if host_d_carry12 { + let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); + b.ccx(ovf1, s2, d); + } + for i in 12..park_low { + fold_postsum_carry_compute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + low[i], + i, + is_add, + ); + } + if free_first_high_carry { + b.reacquire(low[park_low]); + fold_postsum_carry_compute( + b, + acc, + kctrl(park_low), + Some(low[park_low - 1]), + low[park_low], + park_low, + is_add, + ); + } + + for i in (12..=low_chain_last).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + if host_d_carry12 { + let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); + b.reacquire(d); + b.ccx(ovf1, s2, d); + } + if host_ovf2_carry13 { + let (ovf1, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); + b.reacquire(ovf2); + b.cx(ovf1, ovf2); + b.cx(d, ovf2); + b.cx(e, ovf2); + } + if host_streamed { + b.reacquire(streamed); + b.ccx(e, d, streamed); + } + let m11 = b.alloc_bit(); + b.hmr(low[11], m11); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[10]), + m11, + 11, + is_add, + ); + b.free(low[11]); + b.cx(d, streamed); + let m10 = b.alloc_bit(); + b.hmr(low[10], m10); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[9]), + m10, + 10, + is_add, + ); + b.free(low[10]); + b.cx(e, streamed); + for i in (8..10).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + b.ccx(e, d, streamed); + let m7 = b.alloc_bit(); + b.hmr(low[7], m7); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[6]), + m7, + 7, + is_add, + ); + b.free(low[7]); + b.cx(d, streamed); + b.cx(e, streamed); + b.free(streamed); + for i in (0..7).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + drop(low); +} + +/// e,d-extension variant of [`fold_ripple_freed_tail`] (HYP-6 §4a). When +/// `ed = Some((ovf1, ovf2, s2))` AND [`fold_freed_tail_ed_enabled`], `e,d` are +/// additionally released across the wide high tail and recomputed from the live +/// overflow lanes (`d = ovf1 & s2`, `e = ovf1 ^ d ^ ovf2`) for the low uncompute +/// pass, dropping the tail high-water by 2 more ancillae. `ovf1, ovf2, s2` are +/// read-only and must be live & unchanged for the whole call. When `ed = None` +/// (or the knob is OFF) this is byte-identical to the plain freed-tail. +pub(crate) fn fold_ripple_freed_tail_ed( + b: &mut B, + acc: &[QubitId], + e: QubitId, + d: QubitId, + h: QubitId, + xed: QubitId, + eord: QubitId, + n10: QubitId, + ed: Option<(QubitId, QubitId, QubitId)>, + step: Option, + last: usize, + is_add: bool, +) { + let configured_park_low = fold_park_low_carries_at_step(step); + if fold_host_derived_controls_enabled() && configured_park_low <= 7 { + fold_ripple_freed_tail_ed_hosted( + b, + acc, + e, + d, + h, + xed, + eord, + n10, + ed, + configured_park_low, + last, + is_add, + ); + return; + } + if fold_stream_controls_enabled() && configured_park_low >= 12 { + b.cx(h, n10); + b.cx(d, n10); + b.cx(h, eord); + b.cx(xed, eord); + b.cx(d, xed); + b.cx(e, xed); + b.free(n10); + b.free(eord); + b.free(xed); + let mh = b.alloc_bit(); + b.hmr(h, mh); + b.cz_if(e, d, mh); + b.free(h); + fold_ripple_freed_tail_ed_streamed( + b, + acc, + e, + d, + ed, + configured_park_low, + last, + is_add, + ); + b.reacquire(h); + b.ccx(e, d, h); + b.reacquire(xed); + b.cx(e, xed); + b.cx(d, xed); + b.reacquire(eord); + b.cx(xed, eord); + b.cx(h, eord); + b.reacquire(n10); + b.cx(d, n10); + b.cx(h, n10); + return; + } + + let free_ed = ed.is_some() && fold_freed_tail_ed_enabled(); + let n = acc.len(); + let hi_delta = 33usize; // highest_set_bit(2^32+977)+1 + let hi_c = 32usize; + debug_assert!(last < n); + debug_assert!(last > hi_delta, "freed-tail requires a nonempty high tail"); + let controls = secp_fold_controls(e, d, h, xed, eord, n10, hi_delta, hi_c); + let kctrl = |i: usize| controls.get(i).copied().flatten(); + let maj2 = perpos_maj2_enabled(); + let park_low = core::cmp::min(configured_park_low, hi_delta); + let host_all_derived = fold_host_derived_controls_enabled() && park_low >= 15; + let host_h_xed_n10 = + (fold_host_h_xed_n10_enabled() || host_all_derived) && park_low >= 14; + let host_h_n10 = + (fold_host_h_n10_enabled() || host_h_xed_n10) && park_low >= 13; + let host_xed = host_h_xed_n10; + let host_eord = host_all_derived; + let host_e = fold_host_e_enabled() && host_all_derived && free_ed && park_low >= 17; + let host_d = fold_host_d_enabled() && host_e && park_low >= 18; + let host_n10 = (fold_host_n10_enabled() || host_h_n10) && park_low >= 12; + let stream_controls = + fold_stream_controls_enabled() && park_low >= 12 && !host_n10; + + if stream_controls { + b.cx(h, n10); + b.cx(d, n10); + b.cx(h, eord); + b.cx(xed, eord); + b.cx(d, xed); + b.cx(e, xed); + b.free(n10); + b.free(eord); + b.free(xed); + let mh = b.alloc_bit(); + b.hmr(h, mh); + b.cz_if(e, d, mh); + b.free(h); + } + + // Carry lane is split so the WIDE tail is allocated only AFTER the four + // derived controls are freed (the peak instant). `low` = active-region + // carries [0..=hi_delta]; `tail` = pure-propagation carries (hi_delta, last]. + // Index map: carry i -> low[i] (i<=hi_delta) else tail[i-hi_delta-1]. + let low = if host_h_n10 { + b.cx(h, n10); + b.cx(d, n10); + b.free(n10); + if host_eord { + b.cx(h, eord); + b.cx(xed, eord); + b.free(eord); + } + if host_xed { + b.cx(d, xed); + b.cx(e, xed); + b.free(xed); + } + b.ccx(e, d, h); + b.free(h); + if host_e { + let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + b.free(e); + } + // When host_d is enabled, the live d qubit itself is carry slot 29. + // It remains d through control bits 1 and 5, then is coherently cleared + // immediately before carry 29 is generated into the same physical slot. + let d_slot = host_d.then_some(d); + let e_slot = if host_e { + let slot = b.alloc_qubit(); + debug_assert_eq!(slot, e); + Some(slot) + } else { + None + }; + let h_slot = b.alloc_qubit(); + debug_assert_eq!(h_slot, h); + let xed_slot = if host_xed { + let slot = b.alloc_qubit(); + debug_assert_eq!(slot, xed); + Some(slot) + } else { + None + }; + let eord_slot = if host_eord { + let slot = b.alloc_qubit(); + debug_assert_eq!(slot, eord); + Some(slot) + } else { + None + }; + let n10_slot = b.alloc_qubit(); + debug_assert_eq!(n10_slot, n10); + let regular = b.alloc_qubits( + hi_delta + - 1 + - usize::from(host_xed) + - usize::from(host_eord) + - usize::from(host_e) + - usize::from(host_d), + ); + let mut low = Vec::with_capacity(hi_delta + 1); + let mut next_regular = 0usize; + for i in 0..=hi_delta { + if i == 28 && host_d { + low.push(n10_slot); + } else if i == 29 && host_d { + low.push(d_slot.expect("hosted d slot")); + } else if i == 29 && host_e { + low.push(n10_slot); + } else if i == 30 { + low.push(h_slot); + } else if i == 31 && host_xed { + low.push(xed_slot.expect("hosted xed slot")); + } else if i == 32 && host_eord { + low.push(eord_slot.expect("hosted eord slot")); + } else if i == hi_delta { + low.push(e_slot.unwrap_or(n10_slot)); + } else { + low.push(regular[next_regular]); + next_regular += 1; + } + } + debug_assert_eq!(next_regular, regular.len()); + low + } else if host_n10 { + b.cx(h, n10); + b.cx(d, n10); + b.free(n10); + let n10_slot = b.alloc_qubit(); + debug_assert_eq!(n10_slot, n10); + let mut low = b.alloc_qubits(hi_delta); + low.push(n10_slot); + low + } else { + b.alloc_qubits(hi_delta + 1) + }; + + // ── 1. active region [0..=hi_delta]: parked carries (controls live) ── + let mut tail_d = None; + let mut streamed_forward = None; + if host_h_n10 { + // h and n10 are needed only at bits 11 and 10. Host them in future-zero + // carry slots 30 and 33, then clear both before carry generation reaches + // slot 30. Their original IDs are restored only after carries 30..33 + // have been uncomputed. + let e_host = host_e.then_some(low[hi_delta]); + let h_host = low[30]; + let xed_host = host_xed.then_some(low[31]); + let eord_host = host_eord.then_some(low[32]); + let d_host = host_d.then_some(low[29]); + let n10_host = if host_d { + low[28] + } else if host_e { + low[29] + } else { + low[hi_delta] + }; + let e_ctrl = e_host.unwrap_or(e); + let d_ctrl = d_host.unwrap_or(d); + if let Some(e_host) = e_host { + let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); + b.cx(ovf1, e_host); + b.cx(d_ctrl, e_host); + b.cx(ovf2, e_host); + } + b.ccx(e_ctrl, d_ctrl, h_host); + if let Some(xed_host) = xed_host { + b.cx(e_ctrl, xed_host); + b.cx(d_ctrl, xed_host); + } + if let Some(eord_host) = eord_host { + b.cx(xed_host.expect("hosted xed for eord"), eord_host); + b.cx(h_host, eord_host); + } + b.cx(d_ctrl, n10_host); + b.cx(h_host, n10_host); + for i in 0..=hi_delta { + if (host_d && i == 28) + || (!host_d && host_e && i == 29) + || (!host_e && i == 30) + { + b.cx(h_host, n10_host); + b.cx(d_ctrl, n10_host); + if let Some(eord_host) = eord_host { + b.cx(h_host, eord_host); + b.cx(xed_host.expect("hosted xed for eord"), eord_host); + } + if let Some(xed_host) = xed_host { + b.cx(d_ctrl, xed_host); + b.cx(e_ctrl, xed_host); + } + b.ccx(e_ctrl, d_ctrl, h_host); + } + if host_d && i == 29 { + let (ovf1, _, s2) = ed.expect("host_d requires overflow controls"); + b.ccx(ovf1, s2, d_ctrl); + } + if host_e && i == hi_delta { + let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); + b.cx(ovf2, e_ctrl); + if host_d { + b.cx(tail_d.expect("tail d is live at bit 33"), e_ctrl); + } else { + b.cx(d_ctrl, e_ctrl); + } + b.cx(ovf1, e_ctrl); + } + let target = low[i]; + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + let kc = match i { + 0 | 4 | 6 | 32 if host_e => Some(e_ctrl), + 1 | 5 if host_d => d_host, + 7 if host_xed => xed_host, + 8 | 9 if host_eord => eord_host, + 10 => Some(n10_host), + 11 => Some(h_host), + 33 if host_d => tail_d, + _ => kctrl(i), + }; + if is_add { + if let Some(kc) = kc { + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + } else if let Some(ci) = carry_in { + b.ccx(acc[i], ci, target); + } + } else if let Some(kc) = kc { + b.x(acc[i]); + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + b.x(acc[i]); + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.ccx(acc[i], ci, target); + b.x(acc[i]); + } + if let Some(kc) = kc { + b.cx(kc, acc[i]); + } + if i > 0 { + b.cx(low[i - 1], acc[i]); + } + if host_d && i == hi_delta - 1 { + // Carry 31 is dead after carry/sum bit 32. Park it early and + // reuse its physical slot as d for bit 33 and the wide tail. + // Its carry value is reconstructed transiently during cleanup. + let measured = b.alloc_bit(); + b.hmr(low[31], measured); + fold_postsum_carry_phase_uncompute( + b, + acc, + None, + Some(low[30]), + measured, + 31, + is_add, + ); + b.free(low[31]); + let slot = b.alloc_qubit(); + debug_assert_eq!(slot, low[31]); + let (ovf1, _, s2) = ed.expect("host_d requires overflow controls"); + b.ccx(ovf1, s2, slot); + tail_d = Some(slot); + } + } + } else if host_n10 { + // n10 is needed only at bit 10. Host it on low[33], which remains |0> + // until the carry sweep reaches that position, then clear the host and + // continue the same ripple. The original n10 ID is restored after the + // parked low carries have been released. + let n10_host = low[hi_delta]; + b.cx(d, n10_host); + b.cx(h, n10_host); + for i in 0..=hi_delta { + if i == hi_delta { + b.cx(h, n10_host); + b.cx(d, n10_host); + } + let target = low[i]; + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + let kc = if i == 10 { Some(n10_host) } else { kctrl(i) }; + if is_add { + if let Some(kc) = kc { + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + } else if let Some(ci) = carry_in { + b.ccx(acc[i], ci, target); + } + } else if let Some(kc) = kc { + b.x(acc[i]); + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + b.x(acc[i]); + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.ccx(acc[i], ci, target); + b.x(acc[i]); + } + if let Some(kc) = kc { + b.cx(kc, acc[i]); + } + if i > 0 { + b.cx(low[i - 1], acc[i]); + } + } + } else if stream_controls { + for i in 0..7 { + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_presum_carry_compute_and_sum( + b, + acc, + kctrl(i), + carry_in, + low[i], + i, + is_add, + maj2, + ); + } + let streamed = b.alloc_qubit(); + b.cx(e, streamed); + b.cx(d, streamed); + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[6]), + low[7], + 7, + is_add, + maj2, + ); + b.ccx(e, d, streamed); + for i in 8..10 { + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[i - 1]), + low[i], + i, + is_add, + maj2, + ); + } + b.cx(e, streamed); + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[9]), + low[10], + 10, + is_add, + maj2, + ); + b.cx(d, streamed); + fold_presum_carry_compute_and_sum( + b, + acc, + Some(streamed), + Some(low[10]), + low[11], + 11, + is_add, + maj2, + ); + for i in 12..=hi_delta { + fold_presum_carry_compute_and_sum( + b, + acc, + kctrl(i), + Some(low[i - 1]), + low[i], + i, + is_add, + maj2, + ); + } + streamed_forward = Some(streamed); + } else { + for i in 0..=hi_delta { + let target = low[i]; + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + if is_add { + if let Some(kc) = kctrl(i) { + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + } else if let Some(ci) = carry_in { + b.ccx(acc[i], ci, target); + } + } else if let Some(kc) = kctrl(i) { + b.x(acc[i]); + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + b.x(acc[i]); + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.ccx(acc[i], ci, target); + b.x(acc[i]); + } + } + // ── 2. low sum bits [0..=hi_delta] while the controls are still live ── + // acc_i ^= k_i ^ carry_{i-1}. (The seam sum at hi_delta+1 is k=0 and is + // written in step 4b AFTER the tail carries are generated from original acc.) + for i in 0..=hi_delta { + if let Some(kc) = kctrl(i) { + b.cx(kc, acc[i]); + } + if i > 0 { + b.cx(low[i - 1], acc[i]); + } + } + } + + // Optional peak lever: the tail only needs low[hi_delta] as its carry-in. + // The lower parked carries are needed again later for low-carry cleanup, so + // measurement-uncompute them now and recompute from the post-sum bits after + // the tail has been freed. Parking just one carry is enough to drop the + // fused double/halve high-water by one qubit. + if park_low > 0 { + if host_h_n10 { + for i in (12..park_low).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + + let d_ctrl = if host_d { + tail_d.expect("tail d is live during parked-carry cleanup") + } else { + d + }; + let rev_e = if host_e { + let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); + let rev_e = b.alloc_qubit(); + b.cx(ovf1, rev_e); + b.cx(d_ctrl, rev_e); + b.cx(ovf2, rev_e); + Some(rev_e) + } else { + None + }; + let e_ctrl = rev_e.unwrap_or(e); + let rev_h = b.alloc_qubit(); + b.ccx(e_ctrl, d_ctrl, rev_h); + let measured_h = b.alloc_bit(); + b.hmr(low[11], measured_h); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(rev_h), + Some(low[10]), + measured_h, + 11, + is_add, + ); + b.free(low[11]); + + let rev_n10 = b.alloc_qubit(); + debug_assert_eq!(rev_n10, low[11]); + b.cx(d_ctrl, rev_n10); + b.cx(rev_h, rev_n10); + let measured_n10 = b.alloc_bit(); + b.hmr(low[10], measured_n10); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(rev_n10), + Some(low[9]), + measured_n10, + 10, + is_add, + ); + b.free(low[10]); + b.cx(rev_h, rev_n10); + b.cx(d_ctrl, rev_n10); + b.free(rev_n10); + + let rev_xed = if host_xed { + let rev_xed = b.alloc_qubit(); + b.cx(e_ctrl, rev_xed); + b.cx(d_ctrl, rev_xed); + Some(rev_xed) + } else { + None + }; + let rev_eord = if host_eord { + let rev_eord = b.alloc_qubit(); + b.cx(rev_xed.expect("hosted xed for eord"), rev_eord); + b.cx(rev_h, rev_eord); + Some(rev_eord) + } else { + None + }; + if !host_xed { + b.ccx(e, d, rev_h); + b.free(rev_h); + } + for i in (0..10).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + let kc = match i { + 0 | 4 | 6 if host_e => rev_e, + 1 | 5 if host_d => Some(d_ctrl), + 7 if host_xed => rev_xed, + 8 | 9 if host_eord => rev_eord, + _ => kctrl(i), + }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kc, + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + if let Some(rev_eord) = rev_eord { + b.cx(rev_h, rev_eord); + b.cx(rev_xed.expect("hosted xed for eord"), rev_eord); + b.free(rev_eord); + } + if let Some(rev_xed) = rev_xed { + b.cx(d_ctrl, rev_xed); + b.cx(e_ctrl, rev_xed); + b.free(rev_xed); + } + if host_xed { + b.ccx(e_ctrl, d_ctrl, rev_h); + b.free(rev_h); + } + if let Some(rev_e) = rev_e { + let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); + b.cx(ovf2, rev_e); + b.cx(d_ctrl, rev_e); + b.cx(ovf1, rev_e); + b.free(rev_e); + } + } else if host_n10 { + for i in (11..park_low).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + let rev_n10 = b.alloc_qubit(); + b.cx(d, rev_n10); + b.cx(h, rev_n10); + for i in (0..11).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + let kc = if i == 10 { Some(rev_n10) } else { kctrl(i) }; + fold_postsum_carry_phase_uncompute( + b, acc, kc, carry_in, m, i, is_add, + ); + b.free(low[i]); + } + b.cx(h, rev_n10); + b.cx(d, rev_n10); + b.free(rev_n10); + } else if stream_controls { + let streamed = streamed_forward + .take() + .expect("streamed forward control is live"); + for i in (12..park_low).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + let m11 = b.alloc_bit(); + b.hmr(low[11], m11); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[10]), + m11, + 11, + is_add, + ); + b.free(low[11]); + b.cx(d, streamed); + let m10 = b.alloc_bit(); + b.hmr(low[10], m10); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[9]), + m10, + 10, + is_add, + ); + b.free(low[10]); + b.cx(e, streamed); + for i in (8..10).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + b.ccx(e, d, streamed); + let m7 = b.alloc_bit(); + b.hmr(low[7], m7); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[6]), + m7, + 7, + is_add, + ); + b.free(low[7]); + b.cx(d, streamed); + b.cx(e, streamed); + b.free(streamed); + for i in (0..7).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + } else { + for i in (0..park_low).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + } + } + debug_assert!(streamed_forward.is_none()); + + // ── 3. free the four e,d-derived controls BEFORE allocating the wide tail ── + // (reset them to |0> via the free-CX uncompute + a measured AND-clear, then + // release the SAME qubits; reacquired+re-derived in step 6 so the caller + // sees them live & correct on return, exactly as the baseline ripple does.) + if !stream_controls { + if !host_n10 { + b.cx(h, n10); + b.cx(d, n10); + b.free(n10); + } + if !host_eord { + if host_h_n10 { + let rev_h = b.alloc_qubit(); + b.ccx(e, d, rev_h); + b.cx(rev_h, eord); + b.ccx(e, d, rev_h); + b.free(rev_h); + } else { + b.cx(h, eord); + } + if host_xed { + let rev_xed = b.alloc_qubit(); + b.cx(e, rev_xed); + b.cx(d, rev_xed); + b.cx(rev_xed, eord); + b.cx(d, rev_xed); + b.cx(e, rev_xed); + b.free(rev_xed); + } else { + b.cx(xed, eord); + } + b.free(eord); + } + if !host_xed { + b.cx(d, xed); + b.cx(e, xed); + b.free(xed); + } + if !host_h_n10 { + let mh = b.alloc_bit(); + b.hmr(h, mh); + b.cz_if(e, d, mh); + b.free(h); + } + } + + // ── 3b. e,d-extension: free e,d too (HYP-6 §4a) ── + // `e,d` are dead controls in the tail. Uncompute them to |0> (e first, since + // it is built from d), then release the SAME qubits; reacquired+re-derived + // in step 6 from the live overflow lanes (ovf1,ovf2,s2 are unchanged here). + // Uncompute mirrors the dispatch-site derivation: d = ovf1&s2 (CCX), + // e = ovf1 ^ d ^ ovf2 (3 CX). Reversing: e via the same 3 CX (d still live), + // then d via a measured AND-clear (ovf1,s2 unchanged ⇒ d == ovf1&s2 ⇒ + // hmr+cz_if forces d→0, 0 Toffoli, phase-exact). + if free_ed { + let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); + if !host_e { + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + b.free(e); + } + if !host_d { + let md = b.alloc_bit(); + b.hmr(d, md); + b.cz_if(ovf1, s2, md); + b.free(d); + } + } + + // Tail carries are allocated NOW (4 derived controls already freed ⇒ the + // wide-lane high-water carries +4 ancillae instead of +8; +2 with the + // e,d-extension since e,d are freed as well). + let tail_len = last - hi_delta; + let tail = b.alloc_qubits(tail_len); + let cw = |i: usize| -> QubitId { + if i <= hi_delta { + low[i] + } else { + tail[i - hi_delta - 1] + } + }; - fold_ripple_freed_tail_ed( - b, acc, e, d, h, xed, eord, n10, None, None, last, is_add, - ); -} - -pub(crate) fn fold_ripple_freed_tail_ed_streamed( - b: &mut B, - acc: &[QubitId], - e: QubitId, - d: QubitId, - ed: Option<(QubitId, QubitId, QubitId)>, - park_low: usize, - last: usize, - is_add: bool, -) { - let free_ed = ed.is_some() && fold_freed_tail_ed_enabled(); - let n = acc.len(); - let hi_delta = 33usize; - debug_assert!(last < n); - debug_assert!(last > hi_delta, "freed-tail requires a nonempty high tail"); - let park_low = core::cmp::min(park_low, hi_delta); - assert!( - park_low >= 12, - "streamed fold controls require at least 12 parked carries" - ); - let host_streamed = fold_host_streamed_control_enabled(); - let host_e_top = free_ed && fold_host_e_top_carry_enabled(); - let host_d_carry12 = - host_e_top && fold_host_d_carry12_enabled(); - let host_ovf2_carry13 = - host_d_carry12 && fold_host_ovf2_carry13_enabled(); - let maj2 = perpos_maj2_enabled(); - let kctrl = |i: usize| match i { - 0 | 4 | 6 | 32 => Some(e), - 1 | 5 | 33 => Some(d), - _ => None, - }; - fold_stream_profile_phase( - b, - "dialog_gcd_streamed_double_active", - "dialog_gcd_streamed_halve_active", - is_add, - ); - let low_chain_last = if host_e_top { - hi_delta - 1 - } else { - hi_delta - }; - let mut low = b.alloc_qubits( - low_chain_last + 1 - - usize::from(host_d_carry12) - - usize::from(host_ovf2_carry13), - ); - if host_d_carry12 { - low.insert(12, d); - } - if host_ovf2_carry13 { - let (_, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); - low.insert(13, ovf2); - let (ovf1, _, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); - b.cx(ovf1, ovf2); - b.cx(d, ovf2); - b.cx(e, ovf2); - } - let streamed_slot = low[park_low - 1]; - - for i in 0..7 { - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_presum_carry_compute_and_sum( - b, - acc, - kctrl(i), - carry_in, - low[i], - i, - is_add, - maj2, - ); - } - let streamed = if host_streamed { - streamed_slot - } else { - b.alloc_qubit() - }; - b.cx(e, streamed); - b.cx(d, streamed); - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[6]), - low[7], - 7, - is_add, - maj2, - ); - b.ccx(e, d, streamed); - for i in 8..10 { - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[i - 1]), - low[i], - i, - is_add, - maj2, - ); - } - b.cx(e, streamed); - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[9]), - low[10], - 10, - is_add, - maj2, - ); - b.cx(d, streamed); - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[10]), - low[11], - 11, - is_add, - maj2, - ); - if host_streamed { - b.ccx(e, d, streamed); - } - if host_d_carry12 { - let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); - b.ccx(ovf1, s2, d); - } - for i in 12..=low_chain_last { - fold_presum_carry_compute_and_sum( - b, - acc, - kctrl(i), - Some(low[i - 1]), - low[i], - i, - is_add, - maj2, - ); - } - - let free_first_high_carry = fold_free_first_high_carry_enabled() - && park_low < low_chain_last - && !(host_d_carry12 && park_low == 12) - && !(host_ovf2_carry13 && park_low == 13); - if free_first_high_carry { - let m = b.alloc_bit(); - b.hmr(low[park_low], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(park_low), - Some(low[park_low - 1]), - m, - park_low, - is_add, - ); - b.free(low[park_low]); - } - - for i in (12..park_low).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - if host_d_carry12 { - let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); - b.reacquire(d); - b.ccx(ovf1, s2, d); - } - if host_streamed { - b.reacquire(streamed); - b.ccx(e, d, streamed); - } - let m11 = b.alloc_bit(); - b.hmr(low[11], m11); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[10]), - m11, - 11, - is_add, - ); - b.free(low[11]); - b.cx(d, streamed); - let m10 = b.alloc_bit(); - b.hmr(low[10], m10); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[9]), - m10, - 10, - is_add, - ); - b.free(low[10]); - b.cx(e, streamed); - for i in (8..10).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - b.ccx(e, d, streamed); - let m7 = b.alloc_bit(); - b.hmr(low[7], m7); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[6]), - m7, - 7, - is_add, - ); - b.free(low[7]); - b.cx(d, streamed); - b.cx(e, streamed); - b.free(streamed); - for i in (0..7).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - - if host_ovf2_carry13 { - let (ovf1, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); - b.reacquire(ovf2); - b.cx(ovf1, ovf2); - b.cx(d, ovf2); - b.cx(e, ovf2); - } - - if host_e_top { - let (ovf1, ovf2, _) = ed.expect("host_e_top implies ed is Some"); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - fold_presum_carry_compute_and_sum( - b, - acc, - Some(d), - Some(low[hi_delta - 1]), - e, - hi_delta, - is_add, - maj2, - ); - } - - if free_ed { - let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); - if !host_e_top { - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - b.free(e); - } - let md = b.alloc_bit(); - b.hmr(d, md); - b.cz_if(ovf1, s2, md); - b.free(d); - } - - fold_stream_profile_phase( - b, - "dialog_gcd_streamed_double_tail", - "dialog_gcd_streamed_halve_tail", - is_add, - ); - let tail_len = last - hi_delta; - let tail = b.alloc_qubits(tail_len); - let cw = |i: usize| -> QubitId { - if i < hi_delta { - low[i] - } else if i == hi_delta { - if host_e_top { - e - } else { - low[i] - } - } else { - tail[i - hi_delta - 1] - } - }; - for i in hi_delta + 1..=last { - if is_add { - b.ccx(acc[i], cw(i - 1), cw(i)); - } else { - b.x(acc[i]); - b.ccx(acc[i], cw(i - 1), cw(i)); - b.x(acc[i]); - } - } - for i in hi_delta + 1..n { - if i - 1 <= last { - b.cx(cw(i - 1), acc[i]); - } - } - for i in (hi_delta + 1..=last).rev() { - let m = b.alloc_bit(); - b.hmr(cw(i), m); - let carry_in = cw(i - 1); - if is_add { - b.x(acc[i]); - b.cz_if(acc[i], carry_in, m); - b.x(acc[i]); - } else { - b.cz_if(acc[i], carry_in, m); - } - b.free(cw(i)); - } - drop(tail); - - fold_stream_profile_phase( - b, - "dialog_gcd_streamed_double_reverse", - "dialog_gcd_streamed_halve_reverse", - is_add, - ); - if free_ed { - let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); - b.reacquire(d); - b.ccx(ovf1, s2, d); - if host_e_top { - let m_top = b.alloc_bit(); - b.hmr(e, m_top); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(d), - Some(low[hi_delta - 1]), - m_top, - hi_delta, - is_add, - ); - b.free(e); - } - b.reacquire(e); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - } - if host_ovf2_carry13 { - let (ovf1, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); - b.cx(ovf1, ovf2); - b.cx(d, ovf2); - b.cx(e, ovf2); - } - - for i in 0..park_low { - if !(host_d_carry12 && i == 12) - && !(host_ovf2_carry13 && i == 13) - { - b.reacquire(low[i]); - } - } - for i in 0..7 { - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_compute( - b, - acc, - kctrl(i), - carry_in, - low[i], - i, - is_add, - ); - } - let streamed = if host_streamed { - streamed_slot - } else { - b.alloc_qubit() - }; - b.cx(e, streamed); - b.cx(d, streamed); - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[6]), - low[7], - 7, - is_add, - ); - b.ccx(e, d, streamed); - for i in 8..10 { - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[i - 1]), - low[i], - i, - is_add, - ); - } - b.cx(e, streamed); - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[9]), - low[10], - 10, - is_add, - ); - b.cx(d, streamed); - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[10]), - low[11], - 11, - is_add, - ); - if host_streamed { - b.ccx(e, d, streamed); - } - if host_d_carry12 { - let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); - b.ccx(ovf1, s2, d); - } - for i in 12..park_low { - fold_postsum_carry_compute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - low[i], - i, - is_add, - ); - } - if free_first_high_carry { - b.reacquire(low[park_low]); - fold_postsum_carry_compute( - b, - acc, - kctrl(park_low), - Some(low[park_low - 1]), - low[park_low], - park_low, - is_add, - ); - } - - for i in (12..=low_chain_last).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - if host_d_carry12 { - let (ovf1, _, s2) = ed.expect("host_d_carry12 implies ed is Some"); - b.reacquire(d); - b.ccx(ovf1, s2, d); - } - if host_ovf2_carry13 { - let (ovf1, ovf2, _) = ed.expect("host_ovf2_carry13 implies ed is Some"); - b.reacquire(ovf2); - b.cx(ovf1, ovf2); - b.cx(d, ovf2); - b.cx(e, ovf2); - } - if host_streamed { - b.reacquire(streamed); - b.ccx(e, d, streamed); - } - let m11 = b.alloc_bit(); - b.hmr(low[11], m11); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[10]), - m11, - 11, - is_add, - ); - b.free(low[11]); - b.cx(d, streamed); - let m10 = b.alloc_bit(); - b.hmr(low[10], m10); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[9]), - m10, - 10, - is_add, - ); - b.free(low[10]); - b.cx(e, streamed); - for i in (8..10).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - b.ccx(e, d, streamed); - let m7 = b.alloc_bit(); - b.hmr(low[7], m7); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[6]), - m7, - 7, - is_add, - ); - b.free(low[7]); - b.cx(d, streamed); - b.cx(e, streamed); - b.free(streamed); - for i in (0..7).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - drop(low); -} - -pub(crate) fn fold_ripple_freed_tail_ed( - b: &mut B, - acc: &[QubitId], - e: QubitId, - d: QubitId, - h: QubitId, - xed: QubitId, - eord: QubitId, - n10: QubitId, - ed: Option<(QubitId, QubitId, QubitId)>, - step: Option, - last: usize, - is_add: bool, -) { - let configured_park_low = fold_park_low_carries_at_step(step); - if fold_host_derived_controls_enabled() && configured_park_low <= 7 { - fold_ripple_freed_tail_ed_hosted( - b, - acc, - e, - d, - h, - xed, - eord, - n10, - ed, - configured_park_low, - last, - is_add, - ); - return; - } - if fold_stream_controls_enabled() && configured_park_low >= 12 { - b.cx(h, n10); - b.cx(d, n10); - b.cx(h, eord); - b.cx(xed, eord); - b.cx(d, xed); - b.cx(e, xed); - b.free(n10); - b.free(eord); - b.free(xed); - let mh = b.alloc_bit(); - b.hmr(h, mh); - b.cz_if(e, d, mh); - b.free(h); - fold_ripple_freed_tail_ed_streamed( - b, - acc, - e, - d, - ed, - configured_park_low, - last, - is_add, - ); - b.reacquire(h); - b.ccx(e, d, h); - b.reacquire(xed); - b.cx(e, xed); - b.cx(d, xed); - b.reacquire(eord); - b.cx(xed, eord); - b.cx(h, eord); - b.reacquire(n10); - b.cx(d, n10); - b.cx(h, n10); - return; - } - - let free_ed = ed.is_some() && fold_freed_tail_ed_enabled(); - let n = acc.len(); - let hi_delta = 33usize; - let hi_c = 32usize; - debug_assert!(last < n); - debug_assert!(last > hi_delta, "freed-tail requires a nonempty high tail"); - let controls = secp_fold_controls(e, d, h, xed, eord, n10, hi_delta, hi_c); - let kctrl = |i: usize| controls.get(i).copied().flatten(); - let maj2 = perpos_maj2_enabled(); - let park_low = core::cmp::min(configured_park_low, hi_delta); - let host_all_derived = fold_host_derived_controls_enabled() && park_low >= 15; - let host_h_xed_n10 = - (fold_host_h_xed_n10_enabled() || host_all_derived) && park_low >= 14; - let host_h_n10 = - (fold_host_h_n10_enabled() || host_h_xed_n10) && park_low >= 13; - let host_xed = host_h_xed_n10; - let host_eord = host_all_derived; - let host_e = fold_host_e_enabled() && host_all_derived && free_ed && park_low >= 17; - let host_d = fold_host_d_enabled() && host_e && park_low >= 18; - let host_n10 = (fold_host_n10_enabled() || host_h_n10) && park_low >= 12; - let stream_controls = - fold_stream_controls_enabled() && park_low >= 12 && !host_n10; - - if stream_controls { - b.cx(h, n10); - b.cx(d, n10); - b.cx(h, eord); - b.cx(xed, eord); - b.cx(d, xed); - b.cx(e, xed); - b.free(n10); - b.free(eord); - b.free(xed); - let mh = b.alloc_bit(); - b.hmr(h, mh); - b.cz_if(e, d, mh); - b.free(h); - } - - let low = if host_h_n10 { - b.cx(h, n10); - b.cx(d, n10); - b.free(n10); - if host_eord { - b.cx(h, eord); - b.cx(xed, eord); - b.free(eord); - } - if host_xed { - b.cx(d, xed); - b.cx(e, xed); - b.free(xed); - } - b.ccx(e, d, h); - b.free(h); - if host_e { - let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - b.free(e); - } - - let d_slot = host_d.then_some(d); - let e_slot = if host_e { - let slot = b.alloc_qubit(); - debug_assert_eq!(slot, e); - Some(slot) - } else { - None - }; - let h_slot = b.alloc_qubit(); - debug_assert_eq!(h_slot, h); - let xed_slot = if host_xed { - let slot = b.alloc_qubit(); - debug_assert_eq!(slot, xed); - Some(slot) - } else { - None - }; - let eord_slot = if host_eord { - let slot = b.alloc_qubit(); - debug_assert_eq!(slot, eord); - Some(slot) - } else { - None - }; - let n10_slot = b.alloc_qubit(); - debug_assert_eq!(n10_slot, n10); - let regular = b.alloc_qubits( - hi_delta - - 1 - - usize::from(host_xed) - - usize::from(host_eord) - - usize::from(host_e) - - usize::from(host_d), - ); - let mut low = Vec::with_capacity(hi_delta + 1); - let mut next_regular = 0usize; - for i in 0..=hi_delta { - if i == 28 && host_d { - low.push(n10_slot); - } else if i == 29 && host_d { - low.push(d_slot.expect("hosted d slot")); - } else if i == 29 && host_e { - low.push(n10_slot); - } else if i == 30 { - low.push(h_slot); - } else if i == 31 && host_xed { - low.push(xed_slot.expect("hosted xed slot")); - } else if i == 32 && host_eord { - low.push(eord_slot.expect("hosted eord slot")); - } else if i == hi_delta { - low.push(e_slot.unwrap_or(n10_slot)); - } else { - low.push(regular[next_regular]); - next_regular += 1; - } - } - debug_assert_eq!(next_regular, regular.len()); - low - } else if host_n10 { - b.cx(h, n10); - b.cx(d, n10); - b.free(n10); - let n10_slot = b.alloc_qubit(); - debug_assert_eq!(n10_slot, n10); - let mut low = b.alloc_qubits(hi_delta); - low.push(n10_slot); - low - } else { - b.alloc_qubits(hi_delta + 1) - }; - - let mut tail_d = None; - let mut streamed_forward = None; - if host_h_n10 { - - let e_host = host_e.then_some(low[hi_delta]); - let h_host = low[30]; - let xed_host = host_xed.then_some(low[31]); - let eord_host = host_eord.then_some(low[32]); - let d_host = host_d.then_some(low[29]); - let n10_host = if host_d { - low[28] - } else if host_e { - low[29] - } else { - low[hi_delta] - }; - let e_ctrl = e_host.unwrap_or(e); - let d_ctrl = d_host.unwrap_or(d); - if let Some(e_host) = e_host { - let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); - b.cx(ovf1, e_host); - b.cx(d_ctrl, e_host); - b.cx(ovf2, e_host); - } - b.ccx(e_ctrl, d_ctrl, h_host); - if let Some(xed_host) = xed_host { - b.cx(e_ctrl, xed_host); - b.cx(d_ctrl, xed_host); - } - if let Some(eord_host) = eord_host { - b.cx(xed_host.expect("hosted xed for eord"), eord_host); - b.cx(h_host, eord_host); - } - b.cx(d_ctrl, n10_host); - b.cx(h_host, n10_host); - for i in 0..=hi_delta { - if (host_d && i == 28) - || (!host_d && host_e && i == 29) - || (!host_e && i == 30) - { - b.cx(h_host, n10_host); - b.cx(d_ctrl, n10_host); - if let Some(eord_host) = eord_host { - b.cx(h_host, eord_host); - b.cx(xed_host.expect("hosted xed for eord"), eord_host); - } - if let Some(xed_host) = xed_host { - b.cx(d_ctrl, xed_host); - b.cx(e_ctrl, xed_host); - } - b.ccx(e_ctrl, d_ctrl, h_host); - } - if host_d && i == 29 { - let (ovf1, _, s2) = ed.expect("host_d requires overflow controls"); - b.ccx(ovf1, s2, d_ctrl); - } - if host_e && i == hi_delta { - let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); - b.cx(ovf2, e_ctrl); - if host_d { - b.cx(tail_d.expect("tail d is live at bit 33"), e_ctrl); - } else { - b.cx(d_ctrl, e_ctrl); - } - b.cx(ovf1, e_ctrl); - } - let target = low[i]; - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - let kc = match i { - 0 | 4 | 6 | 32 if host_e => Some(e_ctrl), - 1 | 5 if host_d => d_host, - 7 if host_xed => xed_host, - 8 | 9 if host_eord => eord_host, - 10 => Some(n10_host), - 11 => Some(h_host), - 33 if host_d => tail_d, - _ => kctrl(i), - }; - if is_add { - if let Some(kc) = kc { - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - } else if let Some(ci) = carry_in { - b.ccx(acc[i], ci, target); - } - } else if let Some(kc) = kc { - b.x(acc[i]); - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - b.x(acc[i]); - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.ccx(acc[i], ci, target); - b.x(acc[i]); - } - if let Some(kc) = kc { - b.cx(kc, acc[i]); - } - if i > 0 { - b.cx(low[i - 1], acc[i]); - } - if host_d && i == hi_delta - 1 { - - let measured = b.alloc_bit(); - b.hmr(low[31], measured); - fold_postsum_carry_phase_uncompute( - b, - acc, - None, - Some(low[30]), - measured, - 31, - is_add, - ); - b.free(low[31]); - let slot = b.alloc_qubit(); - debug_assert_eq!(slot, low[31]); - let (ovf1, _, s2) = ed.expect("host_d requires overflow controls"); - b.ccx(ovf1, s2, slot); - tail_d = Some(slot); - } - } - } else if host_n10 { - - let n10_host = low[hi_delta]; - b.cx(d, n10_host); - b.cx(h, n10_host); - for i in 0..=hi_delta { - if i == hi_delta { - b.cx(h, n10_host); - b.cx(d, n10_host); - } - let target = low[i]; - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - let kc = if i == 10 { Some(n10_host) } else { kctrl(i) }; - if is_add { - if let Some(kc) = kc { - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - } else if let Some(ci) = carry_in { - b.ccx(acc[i], ci, target); - } - } else if let Some(kc) = kc { - b.x(acc[i]); - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - b.x(acc[i]); - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.ccx(acc[i], ci, target); - b.x(acc[i]); - } - if let Some(kc) = kc { - b.cx(kc, acc[i]); - } - if i > 0 { - b.cx(low[i - 1], acc[i]); - } - } - } else if stream_controls { - for i in 0..7 { - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_presum_carry_compute_and_sum( - b, - acc, - kctrl(i), - carry_in, - low[i], - i, - is_add, - maj2, - ); - } - let streamed = b.alloc_qubit(); - b.cx(e, streamed); - b.cx(d, streamed); - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[6]), - low[7], - 7, - is_add, - maj2, - ); - b.ccx(e, d, streamed); - for i in 8..10 { - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[i - 1]), - low[i], - i, - is_add, - maj2, - ); - } - b.cx(e, streamed); - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[9]), - low[10], - 10, - is_add, - maj2, - ); - b.cx(d, streamed); - fold_presum_carry_compute_and_sum( - b, - acc, - Some(streamed), - Some(low[10]), - low[11], - 11, - is_add, - maj2, - ); - for i in 12..=hi_delta { - fold_presum_carry_compute_and_sum( - b, - acc, - kctrl(i), - Some(low[i - 1]), - low[i], - i, - is_add, - maj2, - ); - } - streamed_forward = Some(streamed); - } else { - for i in 0..=hi_delta { - let target = low[i]; - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - if is_add { - if let Some(kc) = kctrl(i) { - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - } else if let Some(ci) = carry_in { - b.ccx(acc[i], ci, target); - } - } else if let Some(kc) = kctrl(i) { - b.x(acc[i]); - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - b.x(acc[i]); - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.ccx(acc[i], ci, target); - b.x(acc[i]); - } - } - - for i in 0..=hi_delta { - if let Some(kc) = kctrl(i) { - b.cx(kc, acc[i]); - } - if i > 0 { - b.cx(low[i - 1], acc[i]); - } - } - } - - if park_low > 0 { - if host_h_n10 { - for i in (12..park_low).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - - let d_ctrl = if host_d { - tail_d.expect("tail d is live during parked-carry cleanup") - } else { - d - }; - let rev_e = if host_e { - let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); - let rev_e = b.alloc_qubit(); - b.cx(ovf1, rev_e); - b.cx(d_ctrl, rev_e); - b.cx(ovf2, rev_e); - Some(rev_e) - } else { - None - }; - let e_ctrl = rev_e.unwrap_or(e); - let rev_h = b.alloc_qubit(); - b.ccx(e_ctrl, d_ctrl, rev_h); - let measured_h = b.alloc_bit(); - b.hmr(low[11], measured_h); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(rev_h), - Some(low[10]), - measured_h, - 11, - is_add, - ); - b.free(low[11]); - - let rev_n10 = b.alloc_qubit(); - debug_assert_eq!(rev_n10, low[11]); - b.cx(d_ctrl, rev_n10); - b.cx(rev_h, rev_n10); - let measured_n10 = b.alloc_bit(); - b.hmr(low[10], measured_n10); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(rev_n10), - Some(low[9]), - measured_n10, - 10, - is_add, - ); - b.free(low[10]); - b.cx(rev_h, rev_n10); - b.cx(d_ctrl, rev_n10); - b.free(rev_n10); - - let rev_xed = if host_xed { - let rev_xed = b.alloc_qubit(); - b.cx(e_ctrl, rev_xed); - b.cx(d_ctrl, rev_xed); - Some(rev_xed) - } else { - None - }; - let rev_eord = if host_eord { - let rev_eord = b.alloc_qubit(); - b.cx(rev_xed.expect("hosted xed for eord"), rev_eord); - b.cx(rev_h, rev_eord); - Some(rev_eord) - } else { - None - }; - if !host_xed { - b.ccx(e, d, rev_h); - b.free(rev_h); - } - for i in (0..10).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - let kc = match i { - 0 | 4 | 6 if host_e => rev_e, - 1 | 5 if host_d => Some(d_ctrl), - 7 if host_xed => rev_xed, - 8 | 9 if host_eord => rev_eord, - _ => kctrl(i), - }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kc, - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - if let Some(rev_eord) = rev_eord { - b.cx(rev_h, rev_eord); - b.cx(rev_xed.expect("hosted xed for eord"), rev_eord); - b.free(rev_eord); - } - if let Some(rev_xed) = rev_xed { - b.cx(d_ctrl, rev_xed); - b.cx(e_ctrl, rev_xed); - b.free(rev_xed); - } - if host_xed { - b.ccx(e_ctrl, d_ctrl, rev_h); - b.free(rev_h); - } - if let Some(rev_e) = rev_e { - let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); - b.cx(ovf2, rev_e); - b.cx(d_ctrl, rev_e); - b.cx(ovf1, rev_e); - b.free(rev_e); - } - } else if host_n10 { - for i in (11..park_low).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - let rev_n10 = b.alloc_qubit(); - b.cx(d, rev_n10); - b.cx(h, rev_n10); - for i in (0..11).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - let kc = if i == 10 { Some(rev_n10) } else { kctrl(i) }; - fold_postsum_carry_phase_uncompute( - b, acc, kc, carry_in, m, i, is_add, - ); - b.free(low[i]); - } - b.cx(h, rev_n10); - b.cx(d, rev_n10); - b.free(rev_n10); - } else if stream_controls { - let streamed = streamed_forward - .take() - .expect("streamed forward control is live"); - for i in (12..park_low).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - let m11 = b.alloc_bit(); - b.hmr(low[11], m11); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[10]), - m11, - 11, - is_add, - ); - b.free(low[11]); - b.cx(d, streamed); - let m10 = b.alloc_bit(); - b.hmr(low[10], m10); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[9]), - m10, - 10, - is_add, - ); - b.free(low[10]); - b.cx(e, streamed); - for i in (8..10).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - b.ccx(e, d, streamed); - let m7 = b.alloc_bit(); - b.hmr(low[7], m7); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[6]), - m7, - 7, - is_add, - ); - b.free(low[7]); - b.cx(d, streamed); - b.cx(e, streamed); - b.free(streamed); - for i in (0..7).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - } else { - for i in (0..park_low).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - } - } - debug_assert!(streamed_forward.is_none()); - - if !stream_controls { - if !host_n10 { - b.cx(h, n10); - b.cx(d, n10); - b.free(n10); - } - if !host_eord { - if host_h_n10 { - let rev_h = b.alloc_qubit(); - b.ccx(e, d, rev_h); - b.cx(rev_h, eord); - b.ccx(e, d, rev_h); - b.free(rev_h); - } else { - b.cx(h, eord); - } - if host_xed { - let rev_xed = b.alloc_qubit(); - b.cx(e, rev_xed); - b.cx(d, rev_xed); - b.cx(rev_xed, eord); - b.cx(d, rev_xed); - b.cx(e, rev_xed); - b.free(rev_xed); - } else { - b.cx(xed, eord); - } - b.free(eord); - } - if !host_xed { - b.cx(d, xed); - b.cx(e, xed); - b.free(xed); - } - if !host_h_n10 { - let mh = b.alloc_bit(); - b.hmr(h, mh); - b.cz_if(e, d, mh); - b.free(h); - } - } - - if free_ed { - let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); - if !host_e { - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - b.free(e); - } - if !host_d { - let md = b.alloc_bit(); - b.hmr(d, md); - b.cz_if(ovf1, s2, md); - b.free(d); - } - } - - let tail_len = last - hi_delta; - let tail = b.alloc_qubits(tail_len); - let cw = |i: usize| -> QubitId { - if i <= hi_delta { - low[i] - } else { - tail[i - hi_delta - 1] - } - }; - + // ── 4a. high-tail carry generation (hi_delta, last]: pure propagation from + // ORIGINAL acc (acc[hi_delta+1..] untouched by step 2) ── for i in (hi_delta + 1)..=last { if is_add { b.ccx(acc[i], cw(i - 1), cw(i)); @@ -2730,13 +2963,15 @@ pub(crate) fn fold_ripple_freed_tail_ed( b.x(acc[i]); } } - + // ── 4b. high sum bits (hi_delta, last+1] (k=0, control-free): acc_i ^= carry_{i-1} ── for i in (hi_delta + 1)..n { if i - 1 <= last { b.cx(cw(i - 1), acc[i]); } } + // ── 5. reverse uncompute the TAIL carries first (control-free), freeing + // them high→low so the wide lane shrinks before the derived controls return ── for i in (hi_delta + 1..=last).rev() { let m = b.alloc_bit(); b.hmr(cw(i), m); @@ -2749,723 +2984,747 @@ pub(crate) fn fold_ripple_freed_tail_ed( b.cz_if(acc[i], carry_in, m); } b.free(cw(i)); - } - drop(tail); - - if free_ed && !host_d { - let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); - b.reacquire(d); - b.ccx(ovf1, s2, d); - if !host_e { - b.reacquire(e); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - } - } - if host_h_n10 { - if host_e { - let measured = b.alloc_bit(); - b.hmr(low[hi_delta], measured); - if host_d { - fold_postsum_carry_phase_uncompute( - b, - acc, - tail_d, - Some(low[hi_delta - 1]), - measured, - hi_delta, - is_add, - ); - } else { - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(d), - Some(low[hi_delta - 1]), - measured, - hi_delta, - is_add, - ); - } - b.free(low[hi_delta]); - let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); - b.reacquire(e); - b.cx(ovf1, e); - if host_d { - b.cx(tail_d.expect("tail d is live while restoring e"), e); - } else { - b.cx(d, e); - } - b.cx(ovf2, e); - } - if host_d { - - let carry31 = b.alloc_qubit(); - fold_postsum_carry_compute( - b, - acc, - None, - Some(low[30]), - carry31, - 31, - is_add, - ); - let measured32 = b.alloc_bit(); - b.hmr(low[32], measured32); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(e), - Some(carry31), - measured32, - 32, - is_add, - ); - b.free(low[32]); - let measured31 = b.alloc_bit(); - b.hmr(carry31, measured31); - fold_postsum_carry_phase_uncompute( - b, - acc, - None, - Some(low[30]), - measured31, - 31, - is_add, - ); - b.free(carry31); - - for i in (28..=30).rev() { - let measured = b.alloc_bit(); - b.hmr(low[i], measured); - fold_postsum_carry_phase_uncompute( - b, - acc, - None, - Some(low[i - 1]), - measured, - i, - is_add, - ); - b.free(low[i]); - } - - let d_tail = tail_d.expect("tail d is live during d restoration"); - b.reacquire(d); - b.cx(d_tail, d); - b.cx(d, d_tail); - b.free(d_tail); - } else { - let high_start = if host_e { 29 } else { 30 }; - let high_end = if host_e { hi_delta - 1 } else { hi_delta }; - for i in (high_start..=high_end).rev() { - let measured = b.alloc_bit(); - b.hmr(low[i], measured); - let kc = match i { - 32 => Some(e), - 33 => Some(d), - _ => None, - }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kc, - Some(low[i - 1]), - measured, - i, - is_add, - ); - b.free(low[i]); - } - } - } else if host_n10 { - let measured = b.alloc_bit(); - b.hmr(low[hi_delta], measured); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(d), - Some(low[hi_delta - 1]), - measured, - hi_delta, - is_add, - ); - b.free(low[hi_delta]); - } - if stream_controls { - for i in 0..park_low { - b.reacquire(low[i]); - } - - for i in 0..7 { - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_compute( - b, - acc, - kctrl(i), - carry_in, - low[i], - i, - is_add, - ); - } - - let streamed = b.alloc_qubit(); - b.cx(e, streamed); - b.cx(d, streamed); - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[6]), - low[7], - 7, - is_add, - ); - b.ccx(e, d, streamed); - for i in 8..10 { - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[i - 1]), - low[i], - i, - is_add, - ); - } - b.cx(e, streamed); - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[9]), - low[10], - 10, - is_add, - ); - b.cx(d, streamed); - fold_postsum_carry_compute( - b, - acc, - Some(streamed), - Some(low[10]), - low[11], - 11, - is_add, - ); - for i in 12..park_low { - fold_postsum_carry_compute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - low[i], - i, - is_add, - ); - } - - for i in (12..=hi_delta).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - - let m11 = b.alloc_bit(); - b.hmr(low[11], m11); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[10]), - m11, - 11, - is_add, - ); - b.free(low[11]); - b.cx(d, streamed); - - let m10 = b.alloc_bit(); - b.hmr(low[10], m10); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[9]), - m10, - 10, - is_add, - ); - b.free(low[10]); - b.cx(e, streamed); - - for i in (8..10).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - b.ccx(e, d, streamed); - - let m7 = b.alloc_bit(); - b.hmr(low[7], m7); - fold_postsum_carry_phase_uncompute( - b, - acc, - Some(streamed), - Some(low[6]), - m7, - 7, - is_add, - ); - b.free(low[7]); - b.cx(d, streamed); - b.cx(e, streamed); - b.free(streamed); - - for i in (0..7).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - drop(low); - - b.reacquire(h); - b.ccx(e, d, h); - b.reacquire(xed); - b.cx(e, xed); - b.cx(d, xed); - b.reacquire(eord); - b.cx(xed, eord); - b.cx(h, eord); - b.reacquire(n10); - b.cx(d, n10); - b.cx(h, n10); - } else { - b.reacquire(h); - b.ccx(e, d, h); - b.reacquire(xed); - b.cx(e, xed); - b.cx(d, xed); - b.reacquire(eord); - b.cx(xed, eord); - b.cx(h, eord); - b.reacquire(n10); - b.cx(d, n10); - b.cx(h, n10); - - if park_low > 0 { - for i in 0..park_low { - b.reacquire(low[i]); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_compute( - b, - acc, - kctrl(i), - carry_in, - low[i], - i, - is_add, - ); - } - } - - let low_top = if host_d { - 27 - } else if host_e { - 28 - } else if host_h_n10 { - 29 - } else if host_n10 { - hi_delta - 1 - } else { - hi_delta - }; - for i in (0..=low_top).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl(i), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - drop(low); - } - -} - -fn fold_ripple_freed_tail_ed_hosted( - b: &mut B, - acc: &[QubitId], - e: QubitId, - d: QubitId, - h: QubitId, - xed: QubitId, - eord: QubitId, - n10: QubitId, - ed: Option<(QubitId, QubitId, QubitId)>, - park_low: usize, - last: usize, - is_add: bool, -) { - let free_ed = ed.is_some() && fold_freed_tail_ed_enabled(); - let n = acc.len(); - let hi_delta = 33usize; - let split = 11usize; - debug_assert!(last < n); - debug_assert!(last > hi_delta, "freed-tail requires a nonempty high tail"); - let maj2 = perpos_maj2_enabled(); - let park_low = core::cmp::min(park_low, split + 1); - - b.cx(h, n10); - b.cx(d, n10); - b.free(n10); - b.cx(h, eord); - b.cx(xed, eord); - b.cx(d, xed); - b.cx(e, xed); - b.free(eord); - b.free(xed); - let mh = b.alloc_bit(); - b.hmr(h, mh); - b.cz_if(e, d, mh); - b.free(h); - - let low = b.alloc_qubits(hi_delta + 1); - - let h_host = low[30]; - let xed_host = low[31]; - let eord_host = low[32]; - let n10_host = low[33]; - b.ccx(e, d, h_host); - b.cx(e, xed_host); - b.cx(d, xed_host); - b.cx(xed_host, eord_host); - b.cx(h_host, eord_host); - b.cx(d, n10_host); - b.cx(h_host, n10_host); - - let hosted_kctrl = |i: usize| -> Option { - match i { - 0 | 4 | 6 | 32 => Some(e), - 1 | 5 | 33 => Some(d), - 7 => Some(xed_host), - 8 | 9 => Some(eord_host), - 10 => Some(n10_host), - 11 => Some(h_host), - _ => None, - } - }; - - for i in 0..=split { - let target = low[i]; - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - if is_add { - if let Some(kc) = hosted_kctrl(i) { - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - } else if let Some(ci) = carry_in { - b.ccx(acc[i], ci, target); - } - } else if let Some(kc) = hosted_kctrl(i) { - b.x(acc[i]); - if let Some(ci) = carry_in { - emit_fold_majority(b, acc[i], kc, ci, target, maj2); - } else { - b.ccx(acc[i], kc, target); - } - b.x(acc[i]); - } else if let Some(ci) = carry_in { - b.x(acc[i]); - b.ccx(acc[i], ci, target); - b.x(acc[i]); - } - } - for i in 0..=split { - if let Some(kc) = hosted_kctrl(i) { - b.cx(kc, acc[i]); - } - if i > 0 { - b.cx(low[i - 1], acc[i]); - } - } - - b.cx(h_host, n10_host); - b.cx(d, n10_host); - b.cx(h_host, eord_host); - b.cx(xed_host, eord_host); - b.cx(d, xed_host); - b.cx(e, xed_host); - let mh_host = b.alloc_bit(); - b.hmr(h_host, mh_host); - b.cz_if(e, d, mh_host); - - for i in split + 1..=hi_delta { - let target = low[i]; - let carry_in = Some(low[i - 1]); - let kctrl = match i { - 32 => Some(e), - 33 => Some(d), - _ => None, - }; - if is_add { - if let Some(kc) = kctrl { - emit_fold_majority( - b, - acc[i], - kc, - carry_in.expect("high carry-in"), - target, - maj2, - ); - } else { - b.ccx( - acc[i], - carry_in.expect("high carry-in"), - target, - ); - } - } else if let Some(kc) = kctrl { - b.x(acc[i]); - emit_fold_majority( - b, - acc[i], - kc, - carry_in.expect("high carry-in"), - target, - maj2, - ); - b.x(acc[i]); - } else { - b.x(acc[i]); - b.ccx( - acc[i], - carry_in.expect("high carry-in"), - target, - ); - b.x(acc[i]); - } - } - for i in split + 1..=hi_delta { - let kctrl = match i { - 32 => Some(e), - 33 => Some(d), - _ => None, - }; - if let Some(kc) = kctrl { - b.cx(kc, acc[i]); - } - b.cx(low[i - 1], acc[i]); - } - - if park_low > 0 { - let controls = secp_fold_controls( - e, d, h_host, xed_host, eord_host, n10_host, hi_delta, 32, - ); - for i in (0..park_low).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - controls.get(i).copied().flatten(), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - } - - if free_ed { - let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - b.free(e); - let md = b.alloc_bit(); - b.hmr(d, md); - b.cz_if(ovf1, s2, md); - b.free(d); - } - - let tail_len = last - hi_delta; - let tail = b.alloc_qubits(tail_len); - let cw = |i: usize| -> QubitId { - if i <= hi_delta { - low[i] - } else { - tail[i - hi_delta - 1] - } - }; - - for i in (hi_delta + 1)..=last { - if is_add { - b.ccx(acc[i], cw(i - 1), cw(i)); - } else { - b.x(acc[i]); - b.ccx(acc[i], cw(i - 1), cw(i)); - b.x(acc[i]); - } - } - for i in (hi_delta + 1)..n { - if i - 1 <= last { - b.cx(cw(i - 1), acc[i]); - } - } - for i in (hi_delta + 1..=last).rev() { - let m = b.alloc_bit(); - b.hmr(cw(i), m); - let carry_in = cw(i - 1); - if is_add { - b.x(acc[i]); - b.cz_if(acc[i], carry_in, m); - b.x(acc[i]); - } else { - b.cz_if(acc[i], carry_in, m); - } - b.free(cw(i)); - } - drop(tail); - - if free_ed { - let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); - b.reacquire(d); - b.ccx(ovf1, s2, d); - b.reacquire(e); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - } - - for i in (split + 1..=hi_delta).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let kctrl = match i { - 32 => Some(e), - 33 => Some(d), - _ => None, - }; - fold_postsum_carry_phase_uncompute( - b, - acc, - kctrl, - Some(low[i - 1]), - m, - i, - is_add, - ); - b.free(low[i]); - } - - let rev_h = b.alloc_qubit(); - let rev_xed = b.alloc_qubit(); - let rev_eord = b.alloc_qubit(); - let rev_n10 = b.alloc_qubit(); - b.ccx(e, d, rev_h); - b.cx(e, rev_xed); - b.cx(d, rev_xed); - b.cx(rev_xed, rev_eord); - b.cx(rev_h, rev_eord); - b.cx(d, rev_n10); - b.cx(rev_h, rev_n10); - let controls = - secp_fold_controls(e, d, rev_h, rev_xed, rev_eord, rev_n10, hi_delta, 32); - - if park_low > 0 { - for i in 0..park_low { - b.reacquire(low[i]); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_compute( - b, - acc, - controls.get(i).copied().flatten(), - carry_in, - low[i], - i, - is_add, - ); - } - } - - for i in (0..=split).rev() { - let m = b.alloc_bit(); - b.hmr(low[i], m); - let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; - fold_postsum_carry_phase_uncompute( - b, - acc, - controls.get(i).copied().flatten(), - carry_in, - m, - i, - is_add, - ); - b.free(low[i]); - } - drop(low); - - b.reacquire(h); - b.cx(rev_h, h); - b.reacquire(xed); - b.cx(rev_xed, xed); - b.reacquire(eord); - b.cx(rev_eord, eord); - b.reacquire(n10); - b.cx(rev_n10, n10); - - b.cx(rev_h, rev_n10); - b.cx(d, rev_n10); - b.cx(rev_h, rev_eord); - b.cx(rev_xed, rev_eord); - b.cx(d, rev_xed); - b.cx(e, rev_xed); - b.free(rev_n10); - b.free(rev_eord); - b.free(rev_xed); - let mh_rev = b.alloc_bit(); - b.hmr(rev_h, mh_rev); - b.cz_if(e, d, mh_rev); - b.free(rev_h); -} + } + drop(tail); + + // ── 6. recompute the controls INTO THE SAME qubits (reacquire + re-derive) + // for the low uncompute pass; they stay live on return. ── + // e,d-extension: re-derive e,d FIRST (the four derived controls depend on + // them), from the live overflow lanes — exactly the dispatch-site formula: + // d = ovf1 & s2, e = ovf1 ^ d ^ ovf2. + if free_ed && !host_d { + let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); + b.reacquire(d); + b.ccx(ovf1, s2, d); + if !host_e { + b.reacquire(e); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + } + } + if host_h_n10 { + if host_e { + let measured = b.alloc_bit(); + b.hmr(low[hi_delta], measured); + if host_d { + fold_postsum_carry_phase_uncompute( + b, + acc, + tail_d, + Some(low[hi_delta - 1]), + measured, + hi_delta, + is_add, + ); + } else { + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(d), + Some(low[hi_delta - 1]), + measured, + hi_delta, + is_add, + ); + } + b.free(low[hi_delta]); + let (ovf1, ovf2, _) = ed.expect("host_e requires overflow controls"); + b.reacquire(e); + b.cx(ovf1, e); + if host_d { + b.cx(tail_d.expect("tail d is live while restoring e"), e); + } else { + b.cx(d, e); + } + b.cx(ovf2, e); + } + if host_d { + // low[31] carries d across the tail. Reconstruct carry 31 into a + // temporary clean slot solely to phase-uncompute carry 32. + let carry31 = b.alloc_qubit(); + fold_postsum_carry_compute( + b, + acc, + None, + Some(low[30]), + carry31, + 31, + is_add, + ); + let measured32 = b.alloc_bit(); + b.hmr(low[32], measured32); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(e), + Some(carry31), + measured32, + 32, + is_add, + ); + b.free(low[32]); + let measured31 = b.alloc_bit(); + b.hmr(carry31, measured31); + fold_postsum_carry_phase_uncompute( + b, + acc, + None, + Some(low[30]), + measured31, + 31, + is_add, + ); + b.free(carry31); + + for i in (28..=30).rev() { + let measured = b.alloc_bit(); + b.hmr(low[i], measured); + fold_postsum_carry_phase_uncompute( + b, + acc, + None, + Some(low[i - 1]), + measured, + i, + is_add, + ); + b.free(low[i]); + } + + // Move d from the borrowed carry-31 slot back to its original + // carry-29 qubit using only Clifford gates. + let d_tail = tail_d.expect("tail d is live during d restoration"); + b.reacquire(d); + b.cx(d_tail, d); + b.cx(d, d_tail); + b.free(d_tail); + } else { + let high_start = if host_e { 29 } else { 30 }; + let high_end = if host_e { hi_delta - 1 } else { hi_delta }; + for i in (high_start..=high_end).rev() { + let measured = b.alloc_bit(); + b.hmr(low[i], measured); + let kc = match i { + 32 => Some(e), + 33 => Some(d), + _ => None, + }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kc, + Some(low[i - 1]), + measured, + i, + is_add, + ); + b.free(low[i]); + } + } + } else if host_n10 { + let measured = b.alloc_bit(); + b.hmr(low[hi_delta], measured); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(d), + Some(low[hi_delta - 1]), + measured, + hi_delta, + is_add, + ); + b.free(low[hi_delta]); + } + if stream_controls { + for i in 0..park_low { + b.reacquire(low[i]); + } + + for i in 0..7 { + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_compute( + b, + acc, + kctrl(i), + carry_in, + low[i], + i, + is_add, + ); + } + + // One temporary control walks through all four nonlinear predicates: + // xed=e^d, eord=e|d=xed^(e&d), n10=eord^e, h=n10^d. + let streamed = b.alloc_qubit(); + b.cx(e, streamed); + b.cx(d, streamed); + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[6]), + low[7], + 7, + is_add, + ); + b.ccx(e, d, streamed); + for i in 8..10 { + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[i - 1]), + low[i], + i, + is_add, + ); + } + b.cx(e, streamed); + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[9]), + low[10], + 10, + is_add, + ); + b.cx(d, streamed); + fold_postsum_carry_compute( + b, + acc, + Some(streamed), + Some(low[10]), + low[11], + 11, + is_add, + ); + for i in 12..park_low { + fold_postsum_carry_compute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + low[i], + i, + is_add, + ); + } + + // High active carries use only direct e/d controls. Keeping `streamed` + // as h across this section avoids a second h derivation. + for i in (12..=hi_delta).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + + let m11 = b.alloc_bit(); + b.hmr(low[11], m11); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[10]), + m11, + 11, + is_add, + ); + b.free(low[11]); + b.cx(d, streamed); + + let m10 = b.alloc_bit(); + b.hmr(low[10], m10); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[9]), + m10, + 10, + is_add, + ); + b.free(low[10]); + b.cx(e, streamed); + + for i in (8..10).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + b.ccx(e, d, streamed); + + let m7 = b.alloc_bit(); + b.hmr(low[7], m7); + fold_postsum_carry_phase_uncompute( + b, + acc, + Some(streamed), + Some(low[6]), + m7, + 7, + is_add, + ); + b.free(low[7]); + b.cx(d, streamed); + b.cx(e, streamed); + b.free(streamed); + + for i in (0..7).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + drop(low); + + // Restore the caller-visible controls only after the carry lane is gone. + b.reacquire(h); + b.ccx(e, d, h); + b.reacquire(xed); + b.cx(e, xed); + b.cx(d, xed); + b.reacquire(eord); + b.cx(xed, eord); + b.cx(h, eord); + b.reacquire(n10); + b.cx(d, n10); + b.cx(h, n10); + } else { + b.reacquire(h); + b.ccx(e, d, h); + b.reacquire(xed); + b.cx(e, xed); + b.cx(d, xed); + b.reacquire(eord); + b.cx(xed, eord); + b.cx(h, eord); + b.reacquire(n10); + b.cx(d, n10); + b.cx(h, n10); + + if park_low > 0 { + for i in 0..park_low { + b.reacquire(low[i]); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_compute( + b, + acc, + kctrl(i), + carry_in, + low[i], + i, + is_add, + ); + } + } + + // ── 7. reverse uncompute the active carries [0..=hi_delta] ── + let low_top = if host_d { + 27 + } else if host_e { + 28 + } else if host_h_n10 { + 29 + } else if host_n10 { + hi_delta - 1 + } else { + hi_delta + }; + for i in (0..=low_top).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl(i), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + drop(low); + } + // h, xed, eord, n10 are left LIVE and value-correct (= baseline post-ripple + // state); the caller's normal derived-control uncompute block runs next. +} + +fn fold_ripple_freed_tail_ed_hosted( + b: &mut B, + acc: &[QubitId], + e: QubitId, + d: QubitId, + h: QubitId, + xed: QubitId, + eord: QubitId, + n10: QubitId, + ed: Option<(QubitId, QubitId, QubitId)>, + park_low: usize, + last: usize, + is_add: bool, +) { + let free_ed = ed.is_some() && fold_freed_tail_ed_enabled(); + let n = acc.len(); + let hi_delta = 33usize; + let split = 11usize; + debug_assert!(last < n); + debug_assert!(last > hi_delta, "freed-tail requires a nonempty high tail"); + let maj2 = perpos_maj2_enabled(); + let park_low = core::cmp::min(park_low, split + 1); + + // Release the four derived controls before allocating the low-carry lane. + b.cx(h, n10); + b.cx(d, n10); + b.free(n10); + b.cx(h, eord); + b.cx(xed, eord); + b.cx(d, xed); + b.cx(e, xed); + b.free(eord); + b.free(xed); + let mh = b.alloc_bit(); + b.hmr(h, mh); + b.cz_if(e, d, mh); + b.free(h); + + let low = b.alloc_qubits(hi_delta + 1); + // These slots stay zero until carry generation reaches bits 30..33. + let h_host = low[30]; + let xed_host = low[31]; + let eord_host = low[32]; + let n10_host = low[33]; + b.ccx(e, d, h_host); + b.cx(e, xed_host); + b.cx(d, xed_host); + b.cx(xed_host, eord_host); + b.cx(h_host, eord_host); + b.cx(d, n10_host); + b.cx(h_host, n10_host); + + let hosted_kctrl = |i: usize| -> Option { + match i { + 0 | 4 | 6 | 32 => Some(e), + 1 | 5 | 33 => Some(d), + 7 => Some(xed_host), + 8 | 9 => Some(eord_host), + 10 => Some(n10_host), + 11 => Some(h_host), + _ => None, + } + }; + + // Compute the carries that depend on the sparse derived controls. + for i in 0..=split { + let target = low[i]; + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + if is_add { + if let Some(kc) = hosted_kctrl(i) { + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + } else if let Some(ci) = carry_in { + b.ccx(acc[i], ci, target); + } + } else if let Some(kc) = hosted_kctrl(i) { + b.x(acc[i]); + if let Some(ci) = carry_in { + emit_fold_majority(b, acc[i], kc, ci, target, maj2); + } else { + b.ccx(acc[i], kc, target); + } + b.x(acc[i]); + } else if let Some(ci) = carry_in { + b.x(acc[i]); + b.ccx(acc[i], ci, target); + b.x(acc[i]); + } + } + for i in 0..=split { + if let Some(kc) = hosted_kctrl(i) { + b.cx(kc, acc[i]); + } + if i > 0 { + b.cx(low[i - 1], acc[i]); + } + } + + // Return the hosted controls to zero before their slots become carries. + b.cx(h_host, n10_host); + b.cx(d, n10_host); + b.cx(h_host, eord_host); + b.cx(xed_host, eord_host); + b.cx(d, xed_host); + b.cx(e, xed_host); + let mh_host = b.alloc_bit(); + b.hmr(h_host, mh_host); + b.cz_if(e, d, mh_host); + + // Continue through the control-free middle and the direct e/d high bits. + for i in split + 1..=hi_delta { + let target = low[i]; + let carry_in = Some(low[i - 1]); + let kctrl = match i { + 32 => Some(e), + 33 => Some(d), + _ => None, + }; + if is_add { + if let Some(kc) = kctrl { + emit_fold_majority( + b, + acc[i], + kc, + carry_in.expect("high carry-in"), + target, + maj2, + ); + } else { + b.ccx( + acc[i], + carry_in.expect("high carry-in"), + target, + ); + } + } else if let Some(kc) = kctrl { + b.x(acc[i]); + emit_fold_majority( + b, + acc[i], + kc, + carry_in.expect("high carry-in"), + target, + maj2, + ); + b.x(acc[i]); + } else { + b.x(acc[i]); + b.ccx( + acc[i], + carry_in.expect("high carry-in"), + target, + ); + b.x(acc[i]); + } + } + for i in split + 1..=hi_delta { + let kctrl = match i { + 32 => Some(e), + 33 => Some(d), + _ => None, + }; + if let Some(kc) = kctrl { + b.cx(kc, acc[i]); + } + b.cx(low[i - 1], acc[i]); + } + + if park_low > 0 { + let controls = secp_fold_controls( + e, d, h_host, xed_host, eord_host, n10_host, hi_delta, 32, + ); + for i in (0..park_low).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + controls.get(i).copied().flatten(), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + } + + if free_ed { + let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + b.free(e); + let md = b.alloc_bit(); + b.hmr(d, md); + b.cz_if(ovf1, s2, md); + b.free(d); + } + + let tail_len = last - hi_delta; + let tail = b.alloc_qubits(tail_len); + let cw = |i: usize| -> QubitId { + if i <= hi_delta { + low[i] + } else { + tail[i - hi_delta - 1] + } + }; + + for i in (hi_delta + 1)..=last { + if is_add { + b.ccx(acc[i], cw(i - 1), cw(i)); + } else { + b.x(acc[i]); + b.ccx(acc[i], cw(i - 1), cw(i)); + b.x(acc[i]); + } + } + for i in (hi_delta + 1)..n { + if i - 1 <= last { + b.cx(cw(i - 1), acc[i]); + } + } + for i in (hi_delta + 1..=last).rev() { + let m = b.alloc_bit(); + b.hmr(cw(i), m); + let carry_in = cw(i - 1); + if is_add { + b.x(acc[i]); + b.cz_if(acc[i], carry_in, m); + b.x(acc[i]); + } else { + b.cz_if(acc[i], carry_in, m); + } + b.free(cw(i)); + } + drop(tail); + + if free_ed { + let (ovf1, ovf2, s2) = ed.expect("free_ed implies ed is Some"); + b.reacquire(d); + b.ccx(ovf1, s2, d); + b.reacquire(e); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + } + + // Bits 12..33 need only direct e/d controls. Release them before restoring + // the four derived-control qubits used by bits 0..11. + for i in (split + 1..=hi_delta).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let kctrl = match i { + 32 => Some(e), + 33 => Some(d), + _ => None, + }; + fold_postsum_carry_phase_uncompute( + b, + acc, + kctrl, + Some(low[i - 1]), + m, + i, + is_add, + ); + b.free(low[i]); + } + + // The original control IDs were likely reused by low[0..3], so they cannot + // be reacquired yet. Hold the reverse-pass controls in already-freed high + // carry slots, then transfer them back after low[0..11] is released. + let rev_h = b.alloc_qubit(); + let rev_xed = b.alloc_qubit(); + let rev_eord = b.alloc_qubit(); + let rev_n10 = b.alloc_qubit(); + b.ccx(e, d, rev_h); + b.cx(e, rev_xed); + b.cx(d, rev_xed); + b.cx(rev_xed, rev_eord); + b.cx(rev_h, rev_eord); + b.cx(d, rev_n10); + b.cx(rev_h, rev_n10); + let controls = + secp_fold_controls(e, d, rev_h, rev_xed, rev_eord, rev_n10, hi_delta, 32); + + if park_low > 0 { + for i in 0..park_low { + b.reacquire(low[i]); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_compute( + b, + acc, + controls.get(i).copied().flatten(), + carry_in, + low[i], + i, + is_add, + ); + } + } + + for i in (0..=split).rev() { + let m = b.alloc_bit(); + b.hmr(low[i], m); + let carry_in = if i == 0 { None } else { Some(low[i - 1]) }; + fold_postsum_carry_phase_uncompute( + b, + acc, + controls.get(i).copied().flatten(), + carry_in, + m, + i, + is_add, + ); + b.free(low[i]); + } + drop(low); + + b.reacquire(h); + b.cx(rev_h, h); + b.reacquire(xed); + b.cx(rev_xed, xed); + b.reacquire(eord); + b.cx(rev_eord, eord); + b.reacquire(n10); + b.cx(rev_n10, n10); + + b.cx(rev_h, rev_n10); + b.cx(d, rev_n10); + b.cx(rev_h, rev_eord); + b.cx(rev_xed, rev_eord); + b.cx(d, rev_xed); + b.cx(e, rev_xed); + b.free(rev_n10); + b.free(rev_eord); + b.free(rev_xed); + let mh_rev = b.alloc_bit(); + b.hmr(rev_h, mh_rev); + b.cz_if(e, d, mh_rev); + b.free(rev_h); +} diff --git a/src/point_add/arith/mod.rs b/src/point_add/arith/mod.rs index 05b53ca0..774199fb 100644 --- a/src/point_add/arith/mod.rs +++ b/src/point_add/arith/mod.rs @@ -1,4 +1,5 @@ - +//! Arithmetic primitive layer: ripple-carry adders, n-bit add/sub, +//! constant arithmetic, comparators, modular reduction, and multiplication. use super::*; mod adder; diff --git a/src/point_add/arith/modular.rs b/src/point_add/arith/modular.rs index 70afd4a1..02f30e6a 100644 --- a/src/point_add/arith/modular.rs +++ b/src/point_add/arith/modular.rs @@ -1,6 +1,14 @@ - +//! Modular arithmetic: add/sub/neg (qq and qb), doubling/halving, shifts, and +//! the controlled (cmod_*) variants. All operate over secp256k1's prime via +//! Solinas reduction on "extended" (n+1)-wide registers; bit n is a transient +//! overflow/sign ancilla allocated for the duration of a mod-op. use super::*; +/// `acc := (acc + a) mod p`. Both `acc` and `a` are n-bit quantum registers +/// with value in [0, p). Solinas reduction using c = 2^n - p: sum ∈ [0, 2p), +/// then add c, branch on top bit to either clear it (reduction) or undo +/// the add (no reduction). Saves one full (n+1)-wide Cuccaro compared to +/// the sub-p/add-p/csub-p pattern. pub(crate) fn mod_add_qq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let n = acc.len(); assert_eq!(n, a.len()); @@ -9,20 +17,29 @@ pub(crate) fn mod_add_qq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let (acc_ext, acc_ovf) = ext_reg(b, acc); let (a_ext, a_ovf) = ext_reg(b, a); + // Step 1: (n+1)-bit add. acc_ext ∈ [0, 2p). add_nbit_qq(b, &a_ext, &acc_ext); + // Step 2: add c. If sum was >= p, the top bit of (sum + c) becomes 1. let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); add_nbit_const(b, &acc_ext, c); + // Step 3: flag := acc_ovf (= top bit of sum + c). let flag = b.alloc_qubit(); b.cx(acc_ovf, flag); + // Step 4: if flag=0 (no reduction needed), undo the add of c. b.x(flag); csub_nbit_const(b, &acc_ext, c, flag); b.x(flag); + // Step 5: if flag=1, clear the top bit (drops 2^n → yields sum - p). b.cx(flag, acc_ovf); + // Step 6: uncompute flag. Same identity as the old version: + // flag == (acc_final < a_orig) + // because in the flag=1 case acc_final = acc_orig + a - p < a (since acc_orig < p), + // and in the flag=0 case acc_final = acc_orig + a ≥ a. cmp_lt_into(b, &acc_ext[..n], &a_ext[..n], flag); b.free(flag); @@ -32,11 +49,24 @@ pub(crate) fn mod_add_qq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { } pub(crate) fn mod_sub_qq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { - + // mod_add_qq is a bijection on (acc, a): (acc, a) ↦ (acc + a mod p, a). + // Its gate-level inverse therefore acts as (acc, a) ↦ (acc - a mod p, a), + // which is exactly what we want. emit_inverse replays the forward's gates + // reversed, skipping R markers — valid because mod_add_qq is clean + // (every ancilla is driven to |0⟩ before its R). let a_copy: Vec = a.to_vec(); emit_inverse(b, move |b| mod_add_qq(b, acc, &a_copy, p)); } +/// Ancilla-light copy of [`mod_add_qq`]. The only difference: the two Solinas +/// constant corrections (`+c` in step 2 and the conditional `-c` in step 4) use +/// the extended-carry clean adders, which load `c = 2^256 - p` into a 256-qubit +/// register (= `acc_ext.len() - 1`) and fold the overflow into `acc_ext[n]` via a +/// measurement-free Cuccaro. The stock `mod_add_qq` instead calls +/// `add_nbit_const`/`csub_nbit_const`, which materialize a full 257-qubit loaded +/// constant — the sole +1 transient that pins the round84 mid-sub peak at 1309. +/// Replacing it with the 256-wide load drops that peak to 1308. Value- and +/// phase-identical to `mod_add_qq`; clean (no `b.hmr`), so `emit_inverse`-safe. pub(crate) fn mod_add_qq_lowq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let n = acc.len(); assert_eq!(n, a.len()); @@ -45,26 +75,37 @@ pub(crate) fn mod_add_qq_lowq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let (acc_ext, acc_ovf) = ext_reg(b, acc); let (a_ext, a_ovf) = ext_reg(b, a); + // Step 1: (n+1)-bit add. acc_ext ∈ [0, 2p). add_nbit_qq(b, &a_ext, &acc_ext); + // The addend `a_ext` is preserved by every step below (the only later read of + // it, the step-6 compare, touches a_ext[..n] only), so `a_ovf = a_ext[n]` is + // provably |0> and idle during the two const corrections (steps 2 & 4). Under + // the borrow flag we lend it to the Cuccaro as the carry-in slot, removing the + // sole fresh +1 transient that pins the round84-lowq mid-sub peak at 1308. let borrow = if r84_lowq_cin_borrow_enabled() { Some(a_ovf) } else { None }; + // Step 2: add c (ancilla-light: 256-wide const load + clean carry capture). let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); add_nbit_const_extcarry_clean_with_cin(b, &acc_ext, c, borrow); + // Step 3: flag := acc_ovf (= top bit of sum + c). let flag = b.alloc_qubit(); b.cx(acc_ovf, flag); + // Step 4: if flag=0 (no reduction needed), undo the add of c. b.x(flag); csub_nbit_const_extcarry_clean_with_cin(b, &acc_ext, c, flag, borrow); b.x(flag); + // Step 5: if flag=1, clear the top bit (drops 2^n → yields sum - p). b.cx(flag, acc_ovf); + // Step 6: uncompute flag (same identity as mod_add_qq). cmp_lt_into(b, &acc_ext[..n], &a_ext[..n], flag); b.free(flag); @@ -73,11 +114,16 @@ pub(crate) fn mod_add_qq_lowq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let _ = (acc_ext, a_ext); } +/// Ancilla-light `acc := (acc - a) mod p`. Exact gate-level inverse of +/// [`mod_add_qq_lowq`] (which is clean), so `emit_inverse` replays it as +/// `(acc, a) ↦ (acc - a mod p, a)` with operand preserved and zero phase. pub(crate) fn mod_sub_qq_lowq(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let a_copy: Vec = a.to_vec(); emit_inverse(b, move |b| mod_add_qq_lowq(b, acc, &a_copy, p)); } +/// Fast `acc := (acc - a) mod p`. Direct sub + conditional add-p + flag +/// uncompute via neg+cmp_lt+neg. All ops use measurement-based Cuccaro. pub(crate) fn mod_sub_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let n = acc.len(); assert_eq!(n, a.len()); @@ -86,16 +132,21 @@ pub(crate) fn mod_sub_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let (acc_ext, acc_ovf) = ext_reg(b, acc); let (a_ext, a_ovf) = ext_reg(b, a); + // Step 1: (n+1)-bit sub. sub_nbit_qq_fast(b, &a_ext, &acc_ext); + // Step 2: flag = acc_ovf (=1 iff underflow, i.e. acc < a). let flag = b.alloc_qubit(); b.cx(acc_ovf, flag); - + // We only need the borrow as a separate flag; the low register is + // corrected modulo 2^n, so clear the extension bit immediately. b.cx(flag, acc_ovf); + // Step 3: underflow correction. With p = 2^n - c, the wrapped 256-bit + // subtraction needs only a conditional subtract of c on the low register. let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); if kal_vent_modadd_enabled() { - + // Use venting cisub with a_ext as dirty qubits. let c_low = c.as_limbs()[0]; let q_clean2: [QubitId; 2] = [b.alloc_qubit(), b.alloc_qubit()]; venting::cisub_dirty_2clean_classical( @@ -114,6 +165,8 @@ pub(crate) fn mod_sub_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 csub_nbit_const_fast(b, &acc_ext[..n], c, flag); } + // Step 4: uncompute flag. Identity: flag = NOT(acc_final < (p - a)). + // Negate a in place, compare, un-negate. b.x(flag); mod_neg_inplace_fast(b, &a_ext[..n], p); if std::env::var("MOD_FAST_FLAG_CONDITIONAL_REPLAY").ok().as_deref() == Some("1") { @@ -131,6 +184,14 @@ pub(crate) fn mod_sub_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let _ = (acc_ext, a_ext); } +/// Low-peak `acc := (acc + a) mod p`. Identical structure to `mod_add_qq` but +/// the two Solinas-constant corrections (`+c`, conditional `-c`) are vented onto +/// the operand `a_ext` as dirty scratch (2 clean qubits) instead of a fresh +/// n-qubit loaded-constant register. The main add and the flag-uncompute compare +/// stay ancilla-free (Cuccaro / cmp_lt_into), so the only transient is +2 clean. +/// Used inside the round84 Solinas reduction where the materialized `load_const` +/// coexisting with tmp_ext + z1_reg was the peak binder. `c = 2^256 - p` fits in +/// 64 bits, so `c_low` carries the whole constant. pub(crate) fn mod_add_qq_vent(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let n = acc.len(); assert_eq!(n, a.len()); @@ -187,6 +248,11 @@ pub(crate) fn mod_add_qq_vent(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let _ = (acc_ext, a_ext); } +/// `acc := (acc - a) mod p`, low-peak. Explicit gate-reverse of +/// `mod_add_qq_vent` (the venting protocols use measurement, so `emit_inverse` +/// cannot reverse them; each venting step is undone by its matched dual: +/// iadd↔isub, cisub↔ciadd). The flag-uncompute is `cmp_lt_into` (self-inverse, +/// no materialized neg), so no n-wide const register is ever live. pub(crate) fn mod_sub_qq_vent(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let n = acc.len(); assert_eq!(n, a.len()); @@ -199,11 +265,14 @@ pub(crate) fn mod_sub_qq_vent(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let c_low = c.as_limbs()[0]; let n1 = acc_ext.len(); + // Reverse of forward step 6: cmp_lt_into is its own inverse (XOR into flag). let flag = b.alloc_qubit(); cmp_lt_into(b, &acc_ext[..n], &a_ext[..n], flag); + // Reverse of step 5. b.cx(flag, acc_ovf); + // Reverse of step 4: forward applied (cisub c) under !flag; undo with ciadd. b.x(flag); { let q_clean2: [QubitId; 2] = [b.alloc_qubit(), b.alloc_qubit()]; @@ -221,9 +290,12 @@ pub(crate) fn mod_sub_qq_vent(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 } b.x(flag); + // Reverse of step 3. b.cx(acc_ovf, flag); b.free(flag); + // Reverse of step 2: undo the unconditional (iadd c) with a cisub under an + // always-on control. { let one = b.alloc_qubit(); b.x(one); @@ -235,6 +307,7 @@ pub(crate) fn mod_sub_qq_vent(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 b.free(one); } + // Reverse of step 1. sub_nbit_qq(b, &a_ext, &acc_ext); unext_reg(b, a_ovf); @@ -242,6 +315,7 @@ pub(crate) fn mod_sub_qq_vent(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let _ = (acc_ext, a_ext); } +/// Fast mod_neg using measurement-based Cuccaro for the addition. pub(crate) fn mod_neg_inplace_fast(b: &mut B, v: &[QubitId], p: U256) { for &q in v { b.x(q); @@ -252,11 +326,17 @@ pub(crate) fn mod_neg_inplace_fast(b: &mut B, v: &[QubitId], p: U256) { unload_const(b, &ca, p.wrapping_add(U256::from(1))); } -pub(crate) fn mod_add_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U256) { +pub(crate) fn mod_add_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U256) { + // acc := (acc + bits) mod p. `bits` is a classical bit register. let a = load_bits(b, bits); if std::env::var("MOD_ADD_QB_VENT").ok().as_deref() != Some("0") { - + // Low-scratch add: `mod_add_qq_vent` is value-exact with + // `mod_add_qq_fast` but vents the Solinas corrections onto `a` as dirty + // scratch (+2 clean) rather than holding 256 Cuccaro carries live. The + // materialized `a` (256 q) stays; dropping the carry register knocks the + // dialog_gcd_raw_pa_x_restore binder off the peak. Default ON for the + // MATSUB=0 controlled route; MOD_ADD_QB_VENT=0 restores the fast adder. mod_add_qq_vent(b, acc, &a, p); } else { mod_add_qq_fast(b, acc, &a, p); @@ -265,11 +345,19 @@ pub(crate) fn mod_add_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U256) { } pub(crate) fn mod_add_double_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U256) { - + // acc := acc + 2*bits mod p. Reuse a single loaded copy of the classical + // point and walk it through the cheap secp256k1 double/halve pair. let a = load_bits(b, bits); mod_double_inplace_fast(b, &a, p); if std::env::var("MOD_ADD_DOUBLE_QB_VENT").ok().as_deref() != Some("0") { - + // Low-scratch add: `mod_add_qq_vent` is value-exact with + // `mod_add_qq_fast` (acc := (acc+a) mod p) but vents the two Solinas + // corrections onto `a` as dirty scratch (+2 clean) instead of the 256 + // Cuccaro carries `mod_add_qq_fast` holds live. The materialized `a` + // (256 q) stays, but dropping the 256-carry transient knocks the + // round84_..._add_double_ox binder off the peak. Default ON for the + // MATSUB=0 controlled route; set MOD_ADD_DOUBLE_QB_VENT=0 to restore + // the fast adder. mod_add_qq_vent(b, acc, &a, p); } else { mod_add_qq_fast(b, acc, &a, p); @@ -279,10 +367,15 @@ pub(crate) fn mod_add_double_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U } pub(crate) fn mod_sub_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U256) { - + // acc -= bits mod p. Uses fast mod_sub_qq via neg+add+neg. let a = load_bits(b, bits); if std::env::var("MOD_SUB_QB_VENT").ok().as_deref() != Some("0") { - + // Low-scratch sub: `mod_sub_qq_vent` is value-exact with + // `mod_sub_qq_fast` but vents the Solinas corrections onto `a` as dirty + // scratch (+2 clean) rather than holding 256 Cuccaro carries live — + // same trade as `mod_add_qb`/MOD_ADD_QB_VENT. Drops the 1283-wide + // c_ox_minus_rx / y_output / reroll transients off the near-peak tier. + // MOD_SUB_QB_VENT=0 restores the fast subtractor. mod_sub_qq_vent(b, acc, &a, p); } else { mod_sub_qq_fast(b, acc, &a, p); @@ -290,45 +383,56 @@ pub(crate) fn mod_sub_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U256) { unload_bits(b, &a, bits); } +// ─────────── Value-exact, density-neutral score fusions (Alex / b0644ed) ─────────── + +/// `acc := (acc + 3*bits) mod p`, `bits` a classical bit register. FUSE_C_FORM +/// primitive: fuses the square-tail+c-form chain `[+2Qx, neg, -Qx, neg]` (two negs +/// cancel, adds net +3Qx) into one constant-multiple add, skipping the intermediate +/// Rx materialization (saves one measurement-Cuccaro neg). pub(crate) fn mod_add_triple_qb(b: &mut B, acc: &[QubitId], bits: &[BitId], p: U256) { let n = bits.len(); let a = load_bits(b, bits); let d = b.alloc_qubits(n); for i in 0..n { - b.cx(a[i], d[i]); + b.cx(a[i], d[i]); // d = copy(Qx) } - mod_double_inplace_fast(b, &d, p); - mod_add_qq_vent(b, acc, &d, p); - mod_add_qq_vent(b, acc, &a, p); - mod_halve_inplace_fast(b, &d, p); + mod_double_inplace_fast(b, &d, p); // d = 2*Qx + mod_add_qq_vent(b, acc, &d, p); // acc += 2*Qx + mod_add_qq_vent(b, acc, &a, p); // acc += Qx (=> +3*Qx total) + mod_halve_inplace_fast(b, &d, p); // d = Qx for i in 0..n { - b.cx(a[i], d[i]); + b.cx(a[i], d[i]); // d -> 0 } b.free_vec(&d); unload_bits(b, &a, bits); } +/// `tx := (Qx - tx) mod p`, `Qx` the classical bit register `bits`, `tx` in [0,p). +/// FUSE_X_RESTORE primitive: fuses the x-restore chain `[neg, +Qx]` into one +/// "constant-minus-register" modular op, folding the negation's reduction into the +/// subtract's own underflow fold (one reduction instead of two). Mirrors the existing +/// vented controlled-subtract pattern in this file (see mod_sub_qq_vent). pub(crate) fn mod_const_minus_reg_qb(b: &mut B, tx: &[QubitId], bits: &[BitId], p: U256) { let n = tx.len(); assert_eq!(n, bits.len()); - let a = load_bits(b, bits); + let a = load_bits(b, bits); // Qx (preserved as uncompute operand) let (a_ext, a_ovf) = ext_reg(b, &a); let (tx_ext, tx_ovf) = ext_reg(b, tx); for i in 0..n { - b.x(tx_ext[i]); + b.x(tx_ext[i]); // ~tx = 2^n-1-tx } let cin = b.alloc_qubit(); - b.x(cin); - cuccaro_add_low_to_ext_clean(b, &a, &tx_ext, cin); + b.x(cin); // +1 carry-in + cuccaro_add_low_to_ext_clean(b, &a, &tx_ext, cin); // tx_ext = 2^n + (Qx - tx) b.x(cin); b.free(cin); - let flag = b.alloc_qubit(); + let flag = b.alloc_qubit(); // flag = carry = (Qx >= tx) b.cx(tx_ovf, flag); - b.cx(flag, tx_ovf); + b.cx(flag, tx_ovf); // capture + clear the 2^n bit let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); let c_low = c.as_limbs()[0]; let n1 = tx_ext.len(); - b.x(flag); + b.x(flag); // if underflow (Qx Result<(), String> { use crate::sim::Simulator; use sha3::digest::{ExtendableOutput, Update, XofReader}; @@ -377,7 +484,7 @@ pub(crate) fn dialog_fuse_primitive_selftest() -> Result<(), String> { seed.update(b"dialog-fuse-primitive-selftest"); seed.update(&[u8::from(fuse_x_restore)]); let mut xof = seed.finalize_xof(); - + // Draw all random test values BEFORE Simulator::new borrows xof for R/Hmr. let mut txv = [U256::ZERO; 64]; let mut qxv = [U256::ZERO; 64]; let mut buf = [0u8; 32]; @@ -435,6 +542,14 @@ pub(crate) fn dialog_fuse_primitive_selftest() -> Result<(), String> { Ok(()) } +// ═══════════════════════════════════════════════════════════════════════════ +// Non-modular n-bit primitives +// ═══════════════════════════════════════════════════════════════════════════ + +/// Fast Cuccaro sub: `acc -= a mod 2^n` with measurement UMA (0 Toffoli +/// for UMA sweep). Exact gate-level inverse of `cuccaro_add_fast`. +/// Fast `acc += a mod 2^n` using measurement-based Cuccaro. + pub(crate) fn mod_double_inplace_fast(b: &mut B, v: &[QubitId], p: U256) { mod_double_inplace_fast_with_dirty(b, v, p, None) } @@ -452,12 +567,14 @@ pub(crate) fn mod_double_inplace_fast_with_dirty( b.swap(v[i], v[i + 1]); } debug_assert_eq!(n, 256); - + // For secp256k1, p = 2^n - c. After the shift, the old top bit is in + // `ovf` and the low register holds T mod 2^n for T = 2*v. If ovf=1 then + // T = 2^n + low and T mod p = low + c; otherwise T mod p = low. let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); let use_venting = std::env::var("KAL_VENT_DOUBLE").ok().as_deref() == Some("1") && dirty_src.map_or(false, |d| d.len() >= n - 2); if let Some(w) = double_carry_trunc_window() { - + // Carry-tail-truncated sparse-constant add (default OFF). cadd_nbit_const_direct_trunc_fast(b, v, c, ovf, w); } else if use_venting { let dirty = dirty_src.unwrap(); @@ -480,7 +597,7 @@ pub(crate) fn mod_double_inplace_fast_with_dirty( } else { cadd_nbit_const_fast(b, v, c, ovf); } - + // Result parity equals the old top bit: even if ovf=0, odd if ovf=1. b.cx(v[0], ovf); b.free(ovf); } @@ -499,11 +616,18 @@ pub(crate) fn mod_double_inplace_direct_const_fast(b: &mut B, v: &[QubitId], p: b.free(ovf); } +/// Shift v left by k bits mod p. Returns (spill, flag_inv, ovf) which MUST +/// be passed to mod_shift_right_by_k for cleanup. Bennett-pattern: flags +/// stay alive across the body so the inverse can cleanly cancel them. +/// +/// k must be small enough that spill·c < p. For k≤22 with secp256k1 this holds. pub(crate) fn lowq_shift22() -> bool { if d1_phase_corrected_product_core_active() { return true; } - + // Default OFF: on the current scaffold it no longer reduces every global + // peak, but it is the measured phase-corrected low-Q shift core for D1. + // Keep the historical standalone knob for qubit-first experiments. match std::env::var("LOWQ_SHIFT22") { Ok(v) => v != "0", Err(_) => false, @@ -524,6 +648,7 @@ pub(crate) fn mod_shift_left_by_k( let ovf = b.alloc_qubit(); let flag_inv = b.alloc_qubit(); + // Step 1: k rounds of shift-by-1, capturing top bits into spill. for shift_i in 0..k { b.swap(v[n - 1], spill[k - 1 - shift_i]); for i in (0..n - 1).rev() { @@ -531,6 +656,10 @@ pub(crate) fn mod_shift_left_by_k( } } + // Step 2: add spill · c to v_ext (using ovf as bit n). + // c = 2^32 + 977 = 2^32 + 2^10 - 2^6 + 2^4 + 2^0. + // Consolidate 4 bits (6,7,8,9) of 977 into 2^10 - 2^6: saves 2 Cuccaros per shift. + // Op list: ADD at 0, 4, 10, 32; SUB at 6. Total 5 ops instead of 7. let mut v_ext = v.to_vec(); v_ext.push(ovf); let cuccaro_op = |b: &mut B, pos: usize, is_sub: bool| { @@ -548,7 +677,9 @@ pub(crate) fn mod_shift_left_by_k( cuccaro_add(b, &padded, &v_slice, c_in); } } else if is_sub { - + // Fast cuccaro: saves ~n CCX per op. Peak during this op (~514 + // transient) is still below the mod_add_qq_fast peak (517) inside + // the enclosing Solinas, so no global peak increase. cuccaro_sub_fast(b, &padded, &v_slice, c_in); } else { cuccaro_add_fast(b, &padded, &v_slice, c_in); @@ -570,6 +701,7 @@ pub(crate) fn mod_shift_left_by_k( b.set_phase("shift22_cuccaro_op_32"); cuccaro_op(b, 32, false); + // Step 3: const add. b.set_phase("shift22_step3"); if lowq_shift22() { add_nbit_const(b, &v_ext, c); @@ -577,9 +709,10 @@ pub(crate) fn mod_shift_left_by_k( add_nbit_const_fast(b, &v_ext, c); } b.x(ovf); - b.cx(ovf, flag_inv); + b.cx(ovf, flag_inv); // flag_inv = NOT(top_bit_after_add) = (value < p) b.x(ovf); + // Step 4: conditional const sub. b.set_phase("shift22_step4"); if lowq_shift22() { csub_nbit_const(b, &v_ext, c, flag_inv); @@ -593,6 +726,7 @@ pub(crate) fn mod_shift_left_by_k( (spill, flag_inv, ovf) } +/// Gate-level inverse of mod_shift_left_by_k. pub(crate) fn mod_shift_right_by_k( b: &mut B, v: &[QubitId], @@ -609,6 +743,7 @@ pub(crate) fn mod_shift_right_by_k( let mut v_ext = v.to_vec(); v_ext.push(ovf); + // Reverse step 4. b.x(flag_inv); b.cx(flag_inv, ovf); b.x(flag_inv); @@ -619,6 +754,7 @@ pub(crate) fn mod_shift_right_by_k( cadd_nbit_const_fast(b, &v_ext, c, flag_inv); } + // Reverse step 3. b.x(ovf); b.cx(ovf, flag_inv); b.x(ovf); @@ -631,6 +767,7 @@ pub(crate) fn mod_shift_right_by_k( b.free(flag_inv); b.set_phase("rshift22_rev_step2"); + // Reverse step 2: inverse of the consolidated op list (5 ops, in reverse order, flipped signs). let cuccaro_op = |b: &mut B, pos: usize, is_sub: bool| { let pad_width = n + 1 - pos; let padded = b.alloc_qubits(pad_width); @@ -656,13 +793,14 @@ pub(crate) fn mod_shift_right_by_k( } b.free_vec(&padded); }; - - cuccaro_op(b, 32, true); - cuccaro_op(b, 10, true); - cuccaro_op(b, 6, false); - cuccaro_op(b, 4, true); - cuccaro_op(b, 0, true); - + // Reverse: undo ADD at 32, 10; undo SUB at 6; undo ADD at 4, 0. + cuccaro_op(b, 32, true); // undo +spill·2^32 + cuccaro_op(b, 10, true); // undo +spill·2^10 + cuccaro_op(b, 6, false); // undo -spill·2^6 + cuccaro_op(b, 4, true); // undo +spill·2^4 + cuccaro_op(b, 0, true); // undo +spill·2^0 + + // Reverse step 1: reverse swap cascades. for shift_i in (0..k).rev() { for i in 0..n - 1 { b.swap(v[i], v[i + 1]); @@ -797,6 +935,8 @@ pub(crate) fn mod_shift_right_by_k_lowq( b.free_vec(&spill); } +/// Fast `v := v/2 mod p`. Explicit reverse of `mod_double_inplace` with +/// measurement-based Cuccaro (not emit_inverse). pub(crate) fn mod_halve_inplace_fast(b: &mut B, v: &[QubitId], p: U256) { mod_halve_inplace_fast_with_dirty(b, v, p, None) } @@ -815,6 +955,10 @@ pub(crate) fn mod_halve_inplace_direct_const_fast(b: &mut B, v: &[QubitId], p: U b.free(ovf); } +/// Variant of `mod_halve_inplace_fast` that optionally borrows `dirty_src` +/// qubits for the controlled-sub step, using Gidney's venting +/// `cisub_dirty_2clean_classical`. Saves n transient qubits at the peak +/// when dirty qubits are available from the caller. pub(crate) fn mod_halve_inplace_fast_with_dirty( b: &mut B, v: &[QubitId], @@ -826,24 +970,29 @@ pub(crate) fn mod_halve_inplace_fast_with_dirty( debug_assert_eq!(n, 256); let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); b.cx(v[0], ovf); - + // If caller provided enough dirty qubits AND c fits in u64 (it does + // for secp256k1: c = 2^32 + 977), use the venting variant. let use_venting = kal_vent_halve_enabled() && dirty_src.map_or(false, |d| d.len() >= n - 2); if let Some(w) = double_carry_trunc_window() { - + // Carry-tail-truncated sparse-constant sub (inverse of the truncated + // double; default OFF; same window so double/halve stay exact inverses). csub_nbit_const_direct_trunc_fast(b, v, c, ovf, w); } else if use_venting { - - let c_u64: u64 = c.as_limbs()[0] | (c.as_limbs()[1] << 32); - + // c as u64 (it fits: c = 0x1000003D1). + // For n=256, we still need to pass the full 256-bit constant via u64. + // Since c only has 33 bits, u64 is fine. + let c_u64: u64 = c.as_limbs()[0] | (c.as_limbs()[1] << 32); // hack for U256 + // Actually, U256 limbs are u64[4]. Bit 32 of U256 is limbs[0] bit 32. + // limbs[0] holds bits 0..64. So just take limbs[0] for bits < 64. let c_low = c.as_limbs()[0]; let dirty = dirty_src.unwrap(); let dirty_slice = &dirty[..n - 2]; - + // We need 2 clean ancilla. Alloc them fresh. let q_clean2: [QubitId; 2] = [b.alloc_qubit(), b.alloc_qubit()]; venting::cisub_dirty_2clean_classical(b, v, dirty_slice, &q_clean2, c_low, ovf); b.free(q_clean2[0]); b.free(q_clean2[1]); - let _ = c_u64; + let _ = c_u64; // unused, c_low is the right value } else if direct_const_walks_enabled() || std::env::var("KAL_DIRECT_CONST_HALVE").ok().as_deref() == Some("1") { @@ -858,6 +1007,10 @@ pub(crate) fn mod_halve_inplace_fast_with_dirty( b.free(ovf); } +/// Controlled lazy mod-double: EXACT controlled form of `mod_double_inplace_fast` +/// (Solinas reduction, lazy [0,2^n) coset rep, same carry-trunc window). Identity +/// when ctrl=0. Used by the K=2 prototype's conditional 2nd double so it composes +/// correctly with the uncontrolled `mod_double_inplace_fast` in the apply. pub(crate) fn cmod_double_inplace_lazy(b: &mut B, v: &[QubitId], p: U256, ctrl: QubitId) { let n = v.len(); let ovf = b.alloc_qubit(); @@ -875,11 +1028,13 @@ pub(crate) fn cmod_double_inplace_lazy(b: &mut B, v: &[QubitId], p: U256, ctrl: } else { cadd_nbit_const_fast(b, v, c, ovf); } - + // Clear ovf: result parity == old top bit == ovf (gated by ctrl). b.ccx(ctrl, v[0], ovf); b.free(ovf); } +/// Controlled lazy mod-halve: EXACT controlled form of `mod_halve_inplace_fast` +/// (inverse of `cmod_double_inplace_lazy`, same window). Identity when ctrl=0. pub(crate) fn cmod_halve_inplace_lazy(b: &mut B, v: &[QubitId], p: U256, ctrl: QubitId) { let n = v.len(); let ovf = b.alloc_qubit(); @@ -901,6 +1056,19 @@ pub(crate) fn cmod_halve_inplace_lazy(b: &mut B, v: &[QubitId], p: U256, ctrl: Q b.free(ovf); } +// ═══════════════════════════════════════════════════════════════════════════ +// Conditional modular add/sub helpers +// ═══════════════════════════════════════════════════════════════════════════ +// +// Used by the multipliers. Each variant loads `(ctrl ? a : 0)` into a +// fresh temporary via CCX or CX_if, runs the unconditional mod_add_qq / +// mod_sub_qq, then unloads. + +/// Like `cmp_lt_into` but uses carry-ancilla + measurement-based uncompute +/// for the inv_MAJ sweep. Saves n CCX. NOT emit_inverse-safe. + +/// Like `mod_add_qq` but uses `cmp_lt_into_fast` for the flag uncompute. +/// NOT safe inside emit_inverse blocks. pub(crate) fn mod_add_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let n = acc.len(); assert_eq!(n, a.len()); @@ -909,13 +1077,15 @@ pub(crate) fn mod_add_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let (acc_ext, acc_ovf) = ext_reg(b, acc); let (a_ext, a_ovf) = ext_reg(b, a); + // Use fast (measurement-based) Cuccaro everywhere. add_nbit_qq_fast(b, &a_ext, &acc_ext); let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); - + // add_nbit_const with fast Cuccaro OR venting (using `a` as dirty). let use_vent = kal_vent_modadd_enabled(); if use_vent { let n1 = acc_ext.len(); - + // Use `a_ext` as dirty qubits (it was just used as add operand, + // its value is preserved through the venting sub-protocol). let c_low = c.as_limbs()[0]; let q_clean2: [QubitId; 2] = [b.alloc_qubit(), b.alloc_qubit()]; venting::iadd_dirty_2clean_classical( @@ -939,7 +1109,7 @@ pub(crate) fn mod_add_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let flag = b.alloc_qubit(); b.cx(acc_ovf, flag); b.x(flag); - + // csub_nbit_const with fast Cuccaro OR venting. if use_vent { let c_low = c.as_limbs()[0]; let n1 = acc_ext.len(); @@ -988,6 +1158,9 @@ pub(crate) fn mod_add_qq_fast(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256 let _ = (acc_ext, a_ext); } +/// Specialization of mod_add_qq_fast when acc = 0 on entry. Replaces the +/// initial Cuccaro add with CX-copy (0 CCX instead of n-1 CCX). +/// Saves 255 CCX per call. pub(crate) fn mod_add_qq_fast_from_zero(b: &mut B, acc: &[QubitId], a: &[QubitId], p: U256) { let n = acc.len(); assert_eq!(n, a.len()); @@ -996,9 +1169,11 @@ pub(crate) fn mod_add_qq_fast_from_zero(b: &mut B, acc: &[QubitId], a: &[QubitId let (acc_ext, acc_ovf) = ext_reg(b, acc); let (a_ext, a_ovf) = ext_reg(b, a); + // acc is 0 on entry. CX-copy a into acc (0 CCX). Top bits both 0. for i in 0..n { b.cx(a[i], acc[i]); } + // acc_ovf and a_ovf are both 0 (both freshly allocated as 0 by ext_reg). let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); let use_vent = kal_vent_modadd_enabled(); @@ -1078,7 +1253,9 @@ pub(crate) fn cmod_add_qq(b: &mut B, acc: &[QubitId], a: &[QubitId], ctrl: Qubit b.ccx(ctrl, a[i], f[i]); } mod_add_qq_fast(b, acc, &f, p); - + // Gidney measurement-based AND uncomputation: f[i] = ctrl AND a[i], + // which is unchanged by mod_add_qq (Cuccaro restores the addend). + // HMR + classically-conditioned CZ costs 0 Toffoli vs 256 CCX. for i in 0..n { let m = b.alloc_bit(); b.hmr(f[i], m); diff --git a/src/point_add/arith/multiply.rs b/src/point_add/arith/multiply.rs index f39852f4..8e147fc0 100644 --- a/src/point_add/arith/multiply.rs +++ b/src/point_add/arith/multiply.rs @@ -1,6 +1,20 @@ - +//! Multiplication and squaring: schoolbook + Karatsuba multiply, symmetric +//! squaring (incl. self-hosted / hosted variants), the controlled add/subtract +//! used by the schoolbook walk, and the `squaring_sub_from_acc_*` reducers. use super::*; +/// Low-peak variant of `mod_mul_write_into_zero_acc_schoolbook`: uses +/// `schoolbook_mul_into_addsub_lowq` + `_inverse_lowq` instead of the fast +/// variants, saving ~n qubits at peak at the cost of ~n extra Toffolis per +/// row. +/// +/// NOTE: microbench (n=256) shows this DOES NOT reduce the local peak +/// (schoolbook_fast 1797 = schoolbook_lowq 1797); the Solinas reduction + +/// acc lifetimes already dominate, and the lowq carry saving is hidden +/// underneath. We also observed a deterministic phase-garbage batch when +/// wiring this in at pair1_mul1 (1/20480 shots, ALT_SEED tag=5, across +/// two runs), so this helper is currently DEAD CODE kept only as a paper +/// trail for the negative result. See `autoresearch.ideas.md`. #[allow(dead_code)] pub(crate) fn mod_mul_write_into_zero_acc_schoolbook_lowq( b: &mut B, @@ -42,6 +56,15 @@ pub(crate) fn mod_mul_write_into_zero_acc_schoolbook_lowq( b.free_vec(&tmp_ext); } + +// ───────────────────────────────────────────────────────────────────────────────────── +// Litinski add-subtract (arXiv:2410.00899) primitives +// ───────────────────────────────────────────────────────────────────────────────────── + +/// Low-peak variant of `controlled_add_subtract_fast` using non-fast +/// Cuccaro (no carry ancillae). Saves ~n qubits of transient peak at the +/// cost of ~n extra Toffolis per call. Useful when called inside the +/// Kaliski-body mul sites where peak is tight. pub(crate) fn controlled_add_subtract_lowq(b: &mut B, x: &[QubitId], acc: &[QubitId], ctrl: QubitId) { let n = x.len(); debug_assert_eq!(acc.len(), n + 1); @@ -70,6 +93,7 @@ pub(crate) fn controlled_add_subtract_lowq(b: &mut B, x: &[QubitId], acc: &[Qubi b.free(pad); } +/// Inverse of `controlled_add_subtract_lowq`. pub(crate) fn controlled_add_subtract_lowq_inverse(b: &mut B, x: &[QubitId], acc: &[QubitId], ctrl: QubitId) { let n = x.len(); debug_assert_eq!(acc.len(), n + 1); @@ -98,6 +122,11 @@ pub(crate) fn controlled_add_subtract_lowq_inverse(b: &mut B, x: &[QubitId], acc b.free(pad); } +/// Low-peak variant of `schoolbook_mul_into_addsub`: uses non-fast Cuccaro +/// (`cuccaro_add`) inside the `controlled_add_subtract` core and in the +/// correction adders. Saves roughly `n` transient qubits at peak vs. the +/// `_fast` variant at the cost of ~n extra Toffolis per row. Top-level +/// semantics identical to `schoolbook_mul_into_addsub`. pub(crate) fn schoolbook_mul_into_addsub_lowq(b: &mut B, x: &[QubitId], y: &[QubitId], tmp_ext: &[QubitId]) { let n = x.len(); debug_assert_eq!(y.len(), n); @@ -113,6 +142,7 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq(b: &mut B, x: &[QubitId], y: &[Qub controlled_add_subtract_lowq(b, x, &slice, y[k]); } + // +2^n * (y + 1) { let pad = b.alloc_qubit(); let mut y_ext = y.to_vec(); @@ -126,8 +156,10 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq(b: &mut B, x: &[QubitId], y: &[Qub b.free(pad); } + // -2^{2n} b.x(wide[2 * n]); + // -x full (2n+1)-bit sub { let mut x_ext: Vec = x.to_vec(); while x_ext.len() < 2 * n + 1 { @@ -142,6 +174,7 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq(b: &mut B, x: &[QubitId], y: &[Qub } } + // +2^n * x { let pad = b.alloc_qubit(); let mut x_ext = x.to_vec(); @@ -156,6 +189,7 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq(b: &mut B, x: &[QubitId], y: &[Qub b.free(low); } +/// Exact gate-level inverse of `schoolbook_mul_into_addsub_lowq`. pub(crate) fn schoolbook_mul_into_addsub_lowq_inverse( b: &mut B, x: &[QubitId], @@ -171,6 +205,7 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq_inverse( wide.push(low); wide.extend_from_slice(tmp_ext); + // Reverse correction 4: sub x at bit n. { let pad = b.alloc_qubit(); let mut x_ext = x.to_vec(); @@ -181,7 +216,7 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq_inverse( b.free(c_in); b.free(pad); } - + // Reverse correction 3. { let mut x_ext: Vec = x.to_vec(); while x_ext.len() < 2 * n + 1 { @@ -195,9 +230,9 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq_inverse( b.free(q); } } - + // Reverse correction 2. b.x(wide[2 * n]); - + // Reverse correction 1. { let pad = b.alloc_qubit(); let mut y_ext = y.to_vec(); @@ -218,6 +253,10 @@ pub(crate) fn schoolbook_mul_into_addsub_lowq_inverse( b.free(low); } +// ═══════════════════════════════════════════════════════════════════════════ +// 1-level Karatsuba multiplication +// ═══════════════════════════════════════════════════════════════════════════ + pub(crate) fn karatsuba_half_sum_compute(b: &mut B, lo: &[QubitId], hi: &[QubitId], acc: &[QubitId]) { let h = lo.len(); debug_assert_eq!(h, hi.len()); @@ -244,14 +283,26 @@ pub(crate) fn karatsuba_half_sum_uncompute(b: &mut B, lo: &[QubitId], hi: &[Qubi } } +// ─── 2-level Karatsuba variants (recursive on inner half-mults) ─── +// Costs 2 extra z1_inner registers of ~2*(n/4+1) qubits each (~260 total for n=256). +// Higher peak qubits; use only at low-peak mul sites. + +/// Symmetric schoolbook for squaring: x² = sum_i x[i]·2^(2i) + sum_{i= 2. let row = b.alloc_qubits(width); b.cx(x[i], row[0]); for k in 0..num_cross { @@ -360,6 +411,11 @@ pub(crate) fn schoolbook_square_symmetric_lowq_inverse(b: &mut B, x: &[QubitId], } } +/// Like `schoolbook_square_symmetric` (fast, measurement UMA) but the per-row +/// Cuccaro carry lane is hosted on a caller-supplied clean register `host` +/// (returned clean) instead of a fresh allocation. Toffoli-identical to the +/// fast square, peak-identical to the lowq square — used for the z0 lobe of the +/// round84 Karatsuba square, where the not-yet-written z2 slice is clean scratch. pub(crate) fn schoolbook_square_symmetric_hosted( b: &mut B, x: &[QubitId], @@ -381,7 +437,8 @@ pub(crate) fn schoolbook_square_symmetric_hosted( } let slice: Vec = tmp_ext[2 * i..2 * i + width + 1].to_vec(); if square_selfhost_safe_lane_reuse_enabled() { - + // The z2 sibling host is clean and disjoint from x and z0. It has + // ample room for both the width carry lanes and one clean c_in. assert!(host.len() > width); cuccaro_add_fast_low_to_ext_borrowed_carries( b, @@ -468,6 +525,11 @@ pub(crate) fn schoolbook_square_symmetric_hosted_inverse( } } +/// Experimental square-only reclaim. This is deliberately opt-in: every lane +/// borrowed by the prototype is either an untouched high tail of the square +/// accumulator, a caller-proved square bit that is exactly zero, or a clean +/// sibling square destination. Dirty-but-idle data and operand aliases are not +/// eligible. pub(crate) fn square_selfhost_safe_lane_reuse_enabled() -> bool { std::env::var("SQUARE_SELFHOST_SAFE_LANE_REUSE") .ok() @@ -492,6 +554,27 @@ pub(crate) fn square_selfhost_gate_suffix_carries(n: usize) -> usize { .min(n.saturating_sub(1)) } +/// Like `schoolbook_square_symmetric_lowq` but converts the per-row Cuccaro +/// UMA-uncompute (CCX, executed every shot) into measurement-based (fast) +/// uncompute, WITHOUT a separate clean host register. The fast carry lane is +/// hosted on the slice's OWN not-yet-written high zeros +/// (`tmp_ext[2i+width+1 ..]`, which rows 0..=i never touch) topped up with a +/// small global remainder (<=3 qubits, since the lane width exceeds the clean +/// tail by exactly the 3-bit diagonal/gap/pad overhead). Unlike +/// `schoolbook_square_symmetric_hosted` this needs no sibling clean register, +/// so it applies where the sibling slice is occupied (the Karatsuba z2 square). +/// Peak rises only by the global remainder (<=3); Toffoli drops by the whole +/// UMA-uncompute. Under `SQUARE_SELFHOST_SAFE_LANE_REUSE=1`, the source-high +/// zero is represented structurally (no allocated `pad`) and an optional +/// caller-proved clean supplement is consumed before the global remainder. The +/// borrowed carries are returned clean by the HMR uncompute. +/// Peak-bounded row window for the selfhosted square. When set (>=2), each +/// schoolbook square row's add into `tmp_ext` is sliced into this many windows; +/// the transient row register holds only one window's worth of cross-term +/// qubits at a time (peak ~= 1024 + width/windows + boundary carries) instead of +/// the full row (peak ~= 1024 + 257). Value-exact: the same product lands in +/// `tmp_ext`. Cost: a per-boundary carry-clean comparator that rebuilds the row +/// prefix (extra CCX), traded for the dropped peak qubits. pub(crate) fn square_row_windows() -> usize { std::env::var("SQUARE_ROW_WINDOWS") .ok() @@ -499,6 +582,8 @@ pub(crate) fn square_row_windows() -> usize { .unwrap_or(0) } +/// Minimum row width below which a row is built monolithically (windowing a +/// narrow row buys no peak but still pays the comparator tax). fn square_row_window_min_width() -> usize { std::env::var("SQUARE_ROW_WINDOW_MIN_WIDTH") .ok() @@ -506,6 +591,12 @@ fn square_row_window_min_width() -> usize { .unwrap_or(96) } +/// When >0, each row is windowed into the *minimum* number of windows that +/// keeps every window's source segment <= this width. Rows narrow enough to fit +/// in one segment are built monolithically (no comparator tax). This minimizes +/// the carry-recovery comparator overhead: only the rows wide enough to break +/// the peak budget get windowed, and only into as many windows as needed. When +/// set, it overrides the fixed SQUARE_ROW_WINDOWS count. fn square_row_max_seg() -> usize { std::env::var("SQUARE_ROW_MAX_SEG") .ok() @@ -513,84 +604,93 @@ fn square_row_max_seg() -> usize { .unwrap_or(0) } -fn square_cleanup_direction(raw: &str) -> Option { - match raw.trim().to_ascii_lowercase().as_str() { - "f" | "forward" | "false" | "0" => Some(false), - "r" | "reverse" | "true" | "1" => Some(true), - _ => None, - } -} - -fn square_row_window_clean_compare_bits( - row: usize, - window: usize, - reverse: bool, -) -> usize { - let default_bits = std::env::var("SQUARE_ROW_WINDOW_CLEAN_COMPARE_BITS") - .ok() - .and_then(|s| s.parse::().ok()) - .unwrap_or(0); - let row_bits = std::env::var("SQUARE_ROW_WINDOW_CLEAN_ROW_BITS") - .ok() - .and_then(|spec| { - spec.split(',').rev().find_map(|item| { - let (raw_row, raw_bits) = item.trim().split_once(':')?; - if raw_row.trim().parse::().ok()? != row { - return None; - } - raw_bits - .trim() - .parse::() - .ok() - .filter(|bits| (1..=N).contains(bits)) - }) - }) - .unwrap_or(default_bits); - let Ok(spec) = std::env::var("SQUARE_ROW_WINDOW_CLEAN_SITE_BITS") else { - return row_bits; - }; - for item in spec.split(',').rev() { - let fields: Vec<_> = item.trim().split(':').map(str::trim).collect(); - if fields.len() != 4 { - continue; - } - if fields[0].parse::().ok() != Some(row) - || fields[1].parse::().ok() != Some(window) - || square_cleanup_direction(fields[2]) != Some(reverse) - { - continue; - } - if let Ok(bits) = fields[3].parse::() { - if (1..=N).contains(&bits) { - return bits; - } - } - } - row_bits -} - -fn square_row_window_measured_carry_clear_enabled() -> bool { - std::env::var("SQUARE_ROW_WINDOW_MEASURED_CARRY_CLEAR") - .ok() - .as_deref() - == Some("1") -} - +/// Optional truncation for the row-window boundary-carry cleanup comparator. +/// Default 0 means exact/full-width. When set below the segment width, cleanup +/// compares only the high suffix of the segment and final partial sum. This is +/// a deliberate island-hunt knob: it keeps the same low peak and saves Toffoli, +/// but wrong suffix ties leave the boundary carry dirty. +fn square_cleanup_direction(raw: &str) -> Option { + match raw.trim().to_ascii_lowercase().as_str() { + "f" | "forward" | "false" | "0" => Some(false), + "r" | "reverse" | "true" | "1" => Some(true), + _ => None, + } +} + +fn square_row_window_clean_compare_bits( + row: usize, + window: usize, + reverse: bool, +) -> usize { + let default_bits = std::env::var("SQUARE_ROW_WINDOW_CLEAN_COMPARE_BITS") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0); + let row_bits = std::env::var("SQUARE_ROW_WINDOW_CLEAN_ROW_BITS") + .ok() + .and_then(|spec| { + spec.split(',').rev().find_map(|item| { + let (raw_row, raw_bits) = item.trim().split_once(':')?; + if raw_row.trim().parse::().ok()? != row { + return None; + } + raw_bits + .trim() + .parse::() + .ok() + .filter(|bits| (1..=N).contains(bits)) + }) + }) + .unwrap_or(default_bits); + let Ok(spec) = std::env::var("SQUARE_ROW_WINDOW_CLEAN_SITE_BITS") else { + return row_bits; + }; + for item in spec.split(',').rev() { + let fields: Vec<_> = item.trim().split(':').map(str::trim).collect(); + if fields.len() != 4 { + continue; + } + if fields[0].parse::().ok() != Some(row) + || fields[1].parse::().ok() != Some(window) + || square_cleanup_direction(fields[2]) != Some(reverse) + { + continue; + } + if let Ok(bits) = fields[3].parse::() { + if (1..=N).contains(&bits) { + return bits; + } + } + } + row_bits +} + +fn square_row_window_measured_carry_clear_enabled() -> bool { + std::env::var("SQUARE_ROW_WINDOW_MEASURED_CARRY_CLEAR") + .ok() + .as_deref() + == Some("1") +} + +/// Set row bit `j` of square row `i` into `t`. Bit 0 = x_i (diagonal low), +/// bit 1 = 0 (gap), bit 2+k = x_i & x_{i+1+k} (doubled cross term). fn square_row_bit_set(b: &mut B, x: &[QubitId], i: usize, j: usize, t: QubitId) { if j == 0 { b.cx(x[i], t); } else if j == 1 { - + // gap bit: zero, nothing to do } else { b.ccx(x[i], x[i + 1 + (j - 2)], t); } } +/// Measurement-based clear of a row bit set by `square_row_bit_set` (the bit is +/// known to equal its set expression at clear time). fn square_row_bit_clear_hmr(b: &mut B, x: &[QubitId], i: usize, j: usize, t: QubitId) { if j == 0 { b.cx(x[i], t); } else if j == 1 { - + // gap bit: nothing } else { let m = b.alloc_bit(); b.hmr(t, m); @@ -598,6 +698,21 @@ fn square_row_bit_clear_hmr(b: &mut B, x: &[QubitId], i: usize, j: usize, t: Qub } } +/// Windowed selfhosted square row add: `tmp_ext[2i ..] += row_i` where +/// `row_i` has `width` bits, built one window at a time. `forward=true` adds, +/// `forward=false` subtracts (the inverse). Value-identical to a single +/// `cuccaro_{add,sub}` of the full row into `tmp_ext[2i..2i+width+1]`. +/// +/// The full-width add is split into a chain of low-to-ext adds. Window `w` +/// covers row bits `[lo..hi)` and writes `tmp_ext[base+lo .. base+hi+1]` (the +/// extra high cell absorbs the window carry). Because windows are contiguous in +/// `tmp_ext`, window `w`'s carry lands in `tmp_ext[base+hi]`, which is the low +/// cell of window `w+1` — so the carry chains *through* `tmp_ext` with no +/// separate carry-out ancilla and no boundary comparators. The per-window +/// Cuccaro carry lane is borrowed from `tmp_ext`'s not-yet-written high zeros +/// (rows `0..=i` never touch `tmp_ext[2i+width+1 ..]`), topped up by a small +/// global remainder, so the transient overhead is only the `seg_w`-wide source +/// window. Forward order low→high; inverse must mirror it high→low. fn square_row_windowed_apply( b: &mut B, x: &[QubitId], @@ -610,6 +725,7 @@ fn square_row_windowed_apply( let base = 2 * i; let windows = windows.max(1).min(width); + // Window boundaries over the row bit range [0, width). let bounds: Vec<(usize, usize)> = (0..windows) .map(|w| { let lo = (w * width) / windows; @@ -620,6 +736,20 @@ fn square_row_windowed_apply( .collect(); let nwin = bounds.len(); + // Each interior window's carry-out (forward) / borrow-out (inverse) is + // captured in a fresh clean ancilla `cout`, fed as the carry/borrow-IN of + // the next window so the carry ripples across the boundary into the + // accumulator. The final window captures its carry into tmp_ext[base+width]. + // Interior couts are NOT clean after being consumed as the next c_in + // (Cuccaro restores c_in to the carry value), so they are uncomputed by a + // *local* width-bounded comparator that recovers the carry from the final + // partial sum and the rebuilt source window — peak stays ~1024 + 2*seg_w. + // + // The inverse (sub) is built as the structural mirror of the forward (add): + // same window order and carry chaining, add->sub, with the borrow-recovery + // comparator X-wrapped per the Cuccaro sub convention. It SUBTRACTS the same + // row value the forward ADDED, so tmp_ext returns to its pre-square state. + let build_seg = |b: &mut B, lo: usize, hi: usize| -> Vec { let seg = b.alloc_qubits(hi - lo); for (k, &q) in seg.iter().enumerate() { @@ -634,25 +764,33 @@ fn square_row_windowed_apply( b.free_vec(seg); }; - let row_top = base + width + 1; + // The Cuccaro carry lane for each window add/sub is borrowed from tmp_ext's + // clean high tail (positions beyond this row's footprint base+width+1, which + // no row 0..=i touches), so the per-window transient overhead is only the + // seg_w source bits + a 0-pad + the cout ancilla (~seg_w+2), never an + // allocated carry array. The interior carry-out cleanup uses the *slow* + // (carry-array-free) comparator, so cleanup is peak-flat (+0 beyond seg). + let row_top = base + width + 1; // first clean tmp_ext cell above the row. let borrow_lane = |b: &mut B, _need: usize| -> Vec { - + // Always available: tmp_ext beyond row_top is clean and >= seg_w wide + // for every window (seg_w <= width and the high tail is wide enough). tmp_ext[row_top..row_top + _need].to_vec() }; + // carry/borrow-in for window 0 is a clean zero. let mut carry_in = b.alloc_qubit(); let first_carry = carry_in; - let mut couts: Vec<(QubitId, usize, usize, QubitId, usize)> = Vec::new(); + let mut couts: Vec<(QubitId, usize, usize, QubitId, usize)> = Vec::new(); for (wi, &(lo, hi)) in bounds.iter().enumerate() { let last = wi == nwin - 1; let seg = build_seg(b, lo, hi); let seg_w = hi - lo; - + // Build a_block = seg ++ 0pad, acc_block = tmp[lo..hi] ++ high, n = seg_w+1. let pad = b.alloc_qubit(); let mut a_block = seg.clone(); a_block.push(pad); let high = if last { - + // Final window: high carry lands in the (clean) tmp_ext[base+width]. tmp_ext[base + hi] } else { b.alloc_qubit() @@ -668,20 +806,24 @@ fn square_row_windowed_apply( } b.free(pad); if last { - + // nothing extra: carry already in tmp_ext[base+width]. } else { - couts.push((high, lo, hi, carry_in, wi)); + couts.push((high, lo, hi, carry_in, wi)); carry_in = high; } clear_seg(b, lo, &seg); } - - let slow_cmp = std::env::var("SQUARE_ROW_WINDOW_SLOW_CMP").ok().as_deref() == Some("1"); - let measured_clear = square_row_window_measured_carry_clear_enabled(); - for &(cout, lo, hi, cin, window) in couts.iter().rev() { - let clean_cmp_bits = - square_row_window_clean_compare_bits(i, window, !forward); - let seg_w = hi - lo; + // Reverse sweep: clean each interior cout with a local comparator. The + // measured-uncompute fast comparator (~n CCX) borrows its n-wide carry lane + // from tmp_ext's clean high tail, so cleanup adds no peak qubits. Setting + // SQUARE_ROW_WINDOW_SLOW_CMP=1 falls back to the carry-array-free slow + // comparator (~2n CCX, also peak-flat) for cross-checking. + let slow_cmp = std::env::var("SQUARE_ROW_WINDOW_SLOW_CMP").ok().as_deref() == Some("1"); + let measured_clear = square_row_window_measured_carry_clear_enabled(); + for &(cout, lo, hi, cin, window) in couts.iter().rev() { + let clean_cmp_bits = + square_row_window_clean_compare_bits(i, window, !forward); + let seg_w = hi - lo; let trunc_w = if clean_cmp_bits == 0 { seg_w } else { @@ -690,103 +832,103 @@ fn square_row_windowed_apply( if trunc_w < seg_w { let suffix_lo = hi - trunc_w; let seg = build_seg(b, suffix_lo, hi); - let carries = tmp_ext[row_top..row_top + trunc_w].to_vec(); - let cmp_cin = b.alloc_qubit(); - if forward { - if measured_clear { - let phase = b.alloc_bit(); - b.hmr(cout, phase); - cmp_lt_phase_conditioned_with_cin_borrowed_carries( - b, - &tmp_ext[base + suffix_lo..base + hi], - &seg, - cmp_cin, - &carries, - phase, - ); - } else { - cmp_lt_into_fast_with_cin_borrowed_carries( - b, - &tmp_ext[base + suffix_lo..base + hi], - &seg, - cmp_cin, - cout, - &carries, - ); - } - } else { - for &q in &seg { - b.x(q); - } - if measured_clear { - let phase = b.alloc_bit(); - b.hmr(cout, phase); - cmp_lt_phase_conditioned_with_cin_borrowed_carries( - b, - &seg, - &tmp_ext[base + suffix_lo..base + hi], - cmp_cin, - &carries, - phase, - ); - } else { - cmp_lt_into_fast_with_cin_borrowed_carries( - b, - &seg, - &tmp_ext[base + suffix_lo..base + hi], - cmp_cin, - cout, - &carries, - ); - } - for &q in &seg { - b.x(q); - } + let carries = tmp_ext[row_top..row_top + trunc_w].to_vec(); + let cmp_cin = b.alloc_qubit(); + if forward { + if measured_clear { + let phase = b.alloc_bit(); + b.hmr(cout, phase); + cmp_lt_phase_conditioned_with_cin_borrowed_carries( + b, + &tmp_ext[base + suffix_lo..base + hi], + &seg, + cmp_cin, + &carries, + phase, + ); + } else { + cmp_lt_into_fast_with_cin_borrowed_carries( + b, + &tmp_ext[base + suffix_lo..base + hi], + &seg, + cmp_cin, + cout, + &carries, + ); + } + } else { + for &q in &seg { + b.x(q); + } + if measured_clear { + let phase = b.alloc_bit(); + b.hmr(cout, phase); + cmp_lt_phase_conditioned_with_cin_borrowed_carries( + b, + &seg, + &tmp_ext[base + suffix_lo..base + hi], + cmp_cin, + &carries, + phase, + ); + } else { + cmp_lt_into_fast_with_cin_borrowed_carries( + b, + &seg, + &tmp_ext[base + suffix_lo..base + hi], + cmp_cin, + cout, + &carries, + ); + } + for &q in &seg { + b.x(q); + } } b.free(cmp_cin); clear_seg(b, suffix_lo, &seg); } else { let seg = build_seg(b, lo, hi); - let carries = tmp_ext[row_top..row_top + seg_w].to_vec(); - if forward { - - if measured_clear { - let phase = b.alloc_bit(); - b.hmr(cout, phase); - cmp_lt_phase_conditioned_with_cin_borrowed_carries( - b, - &tmp_ext[base + lo..base + hi], - &seg, - cin, - &carries, - phase, - ); - } else if slow_cmp { - cmp_lt_into_with_cin_slow(b, &tmp_ext[base + lo..base + hi], &seg, cin, cout); - } else { + let carries = tmp_ext[row_top..row_top + seg_w].to_vec(); + if forward { + // carry_out = (partial_sum < seg + cin) + if measured_clear { + let phase = b.alloc_bit(); + b.hmr(cout, phase); + cmp_lt_phase_conditioned_with_cin_borrowed_carries( + b, + &tmp_ext[base + lo..base + hi], + &seg, + cin, + &carries, + phase, + ); + } else if slow_cmp { + cmp_lt_into_with_cin_slow(b, &tmp_ext[base + lo..base + hi], &seg, cin, cout); + } else { cmp_lt_into_fast_with_cin_borrowed_carries( b, &tmp_ext[base + lo..base + hi], &seg, cin, cout, &carries, ); } } else { - - for k in 0..seg_w { - b.x(seg[k]); - } - if measured_clear { - let phase = b.alloc_bit(); - b.hmr(cout, phase); - cmp_lt_phase_conditioned_with_cin_borrowed_carries( - b, - &seg, - &tmp_ext[base + lo..base + hi], - cin, - &carries, - phase, - ); - } else if slow_cmp { - cmp_lt_into_with_cin_slow(b, &seg, &tmp_ext[base + lo..base + hi], cin, cout); - } else { + // borrow_out = (seg + cin > partial_diff) + for k in 0..seg_w { + b.x(seg[k]); + } + if measured_clear { + let phase = b.alloc_bit(); + b.hmr(cout, phase); + cmp_lt_phase_conditioned_with_cin_borrowed_carries( + b, + &seg, + &tmp_ext[base + lo..base + hi], + cin, + &carries, + phase, + ); + } else if slow_cmp { + cmp_lt_into_with_cin_slow(b, &seg, &tmp_ext[base + lo..base + hi], cin, cout); + } else { cmp_lt_into_fast_with_cin_borrowed_carries( b, &seg, &tmp_ext[base + lo..base + hi], cin, cout, &carries, ); @@ -984,10 +1126,16 @@ pub(crate) fn schoolbook_square_symmetric_lowq_selfhosted_inverse_with_clean_sup } } +/// Gate for the measured-uncompute (self-hosted) Karatsuba z2 square. Defaults +/// ON; set KARA_Z2_SELFHOST=0 to fall back to the plain ancilla-free lowq z2 +/// square (CCX UMA-uncompute). pub(crate) fn kara_z2_selfhost_enabled() -> bool { std::env::var("KARA_Z2_SELFHOST").ok().as_deref() != Some("0") } +/// Gate for the measured-uncompute (self-hosted) round84 x-tail full-width +/// lam^2 square. Defaults ON; set XTAIL_SQ_SELFHOST=0 to fall back to the plain +/// ancilla-free lowq square (CCX UMA-uncompute). pub(crate) fn xtail_sq_selfhost_enabled() -> bool { std::env::var("XTAIL_SQ_SELFHOST").ok().as_deref() != Some("0") } @@ -999,6 +1147,14 @@ fn round84_inplace_solinas_fold_enabled() -> bool { == Some("1") } +// tofprof CAT-4 lever: the in-place Solinas fold/unfold build their adders from +// the COHERENT cuccaro_add/sub (maj/uma, ~2 CCX/bit, 0 carry ancilla). The +// fold/unfold phases run at active=1160, i.e. 137 qubits below the 1297 peak, so +// the SMALL adders (quotient*c product = 33-bit, narrow correction = 66-bit, +// quotient-update spill <=34-bit) can use the MEASURED cuccaro_*_fast (~1 CCX/bit +// + Hmr-uncompute) peak-neutrally => ~1 CCX/bit saved on those. The BIG fold-step +// adders (224..256-bit) are left coherent (a fast version would need ~256 carry +// lanes -> 1160+256=1416 > 1297 = peak-positive). Default OFF (byte-identical). fn round84_fold_fast_add_enabled() -> bool { std::env::var("ROUND84_FOLD_FAST_ADD").ok().as_deref() == Some("1") } @@ -1110,7 +1266,7 @@ fn round84_update_fold_quotient( } fn round84_compute_quotient_c_product(b: &mut B, quotient: &[QubitId], dirty: &[QubitId]) -> Vec { - + // quotient <= c, so its low 33 bits suffice and quotient*c fits in 66 bits. let q = "ient[..33]; let product = b.alloc_qubits(66); for i in 0..q.len() { @@ -1170,7 +1326,7 @@ fn round84_uncompute_quotient_c_product(b: &mut B, quotient: &[QubitId], product if round84_qprod_vent_pad_enabled() && (product.len() - shift - q.len()) >= round84_qprod_vent_pad_min_width() { - + // uncompute = inverse op: add->sub, sub->add. round84_qprod_shifted_addsub_vented(b, q, product, shift, !add, dirty); continue; } @@ -1289,6 +1445,12 @@ fn round84_sub_narrow_correction( } } +/// Reversibly fold `hi*c` into `lo`, where `c = 2^256-p`. +/// +/// Each signed shifted add/sub retains its 2^256 quotient contribution. The +/// five contributions are accumulated into a 34-bit register, multiplied by +/// sparse `c` once, and added to `lo`. The returned state is sufficient to +/// restore the original square after `lo` has been consumed. fn round84_fold_hi_into_lo_aggregate( b: &mut B, lo: &[QubitId], @@ -1297,7 +1459,7 @@ fn round84_fold_hi_into_lo_aggregate( ) -> Round84AggregateFold { let n = lo.len(); let quotient = b.alloc_qubits(34); - + // c = 2^32 + 977 = 2^32 + 2^10 - 2^5 - 2^4 + 1. let terms = [ (0usize, true), (4, false), @@ -1386,21 +1548,32 @@ fn round84_unfold_hi_from_lo_aggregate( b.free_vec(&state.quotient); } +/// Schoolbook squarer with Bennett uncompute. For squaring `tmp_ext = x*x` +/// (2n bits, no mod reduction), then sub from acc with on-the-fly Solinas +/// reduction, then uncompute tmp_ext via gate-level inverse. Saves ~170k +/// CCX vs walk-x squaring (459k → 289k) by avoiding 256 expensive +/// cmod_add_qq calls (each 5n) in favor of 2n²=131k of cheap AND+Cuccaro. pub(crate) fn squaring_sub_from_acc_schoolbook(b: &mut B, acc: &[QubitId], x: &[QubitId], p: U256) { let n = acc.len(); debug_assert_eq!(n, 256); debug_assert_eq!(x.len(), n); let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); + // Wide accumulator (2n bits) starts at 0. let tmp_ext = b.alloc_qubits(2 * n); + // Phase 1: symmetric schoolbook tmp_ext = x*x (~half the CCX of full). schoolbook_square_symmetric(b, x, &tmp_ext); + // Phase 2: subtract (lo + hi*c mod p) from acc. + // For each set bit k of c, sub (hi shifted by k mod p) from acc, by + // walking hi via mod_double in place. Sub lo first. let lo: Vec = tmp_ext[0..n].to_vec(); let hi: Vec = tmp_ext[n..2 * n].to_vec(); mod_sub_qq_fast(b, acc, &lo, p); let _ = c; - + // 977 consolidation: c = {+2^0, +2^4, -2^6, +2^10, +2^32}. For acc-=hi·c, signs flip: + // acc -= hi·2^0, acc -= hi·2^4, acc += hi·2^6, acc -= hi·2^10, acc -= hi·2^32. mod_sub_qq_fast(b, acc, &hi, p); for _ in 0..4 { mod_double_inplace_fast(b, &hi, p); @@ -1409,7 +1582,7 @@ pub(crate) fn squaring_sub_from_acc_schoolbook(b: &mut B, acc: &[QubitId], x: &[ for _ in 0..2 { mod_double_inplace_fast(b, &hi, p); } - mod_add_qq_fast(b, acc, &hi, p); + mod_add_qq_fast(b, acc, &hi, p); // sign flipped for _ in 0..4 { mod_double_inplace_fast(b, &hi, p); } @@ -1421,11 +1594,35 @@ pub(crate) fn squaring_sub_from_acc_schoolbook(b: &mut B, acc: &[QubitId], x: &[ mod_halve_inplace_fast(b, &hi, p); } + // Phase 3: uncompute tmp_ext via symmetric schoolbook inverse. schoolbook_square_symmetric_inverse(b, x, &tmp_ext); b.free_vec(&tmp_ext); } +/// Squaring-aware 1-level Karatsuba variant of [`squaring_sub_from_acc_schoolbook`]. +/// +/// Computes `acc -= x^2 mod p` (Solinas-reduced) via a 1-level Karatsuba +/// SQUARE. Split `x = hi‖lo` (`h = n/2` bits each) and form the three +/// SYMMETRIC sub-squares +/// z0 = lo^2, z2 = hi^2, z1 = (lo+hi)^2, +/// then combine `z1 -= z0 + z2` (= 2·lo·hi) and add the middle term: +/// x^2 = z0 + (z1 - z0 - z2)·2^h + z2·2^{2h}. +/// Each sub-square is the existing symmetric square (`schoolbook_square_symmetric`, +/// cross-products counted once via Gidney-uncomputed AND lanes), so the dominant +/// cross-product AND budget drops ~25 % vs the symmetric 256-bit schoolbook +/// square: 3·(n/2)(n/2-1)/2 cross ANDs instead of n(n-1)/2. Using a plain +/// Karatsuba MUL with x=y would re-introduce the cross terms and be strictly +/// worse — the symmetry of the SQUARE is what buys the win. +/// +/// Peak control: the (lo+hi)^2 square is emitted FIRST, before the 2n-bit +/// `tmp_ext` result register is allocated, and its `x_sum` operand is freed +/// before `tmp_ext` is taken — so the z1 step (z1_reg + x_sum + row) and the +/// z0/z2 step (tmp_ext + z1_reg + row) never coexist. The combine carries use +/// the non-fast (ancilla-free) Cuccaro, and the Solinas lanes default to the +/// low-peak set (non-fast add/sub, direct-const double/halve, lowq shift) so the +/// extra z1_reg register (2(h+1) q) is absorbed without pushing the affine +/// square phase over the global GCD-body peak binder (~1567 < 1698). pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[QubitId], p: U256) { let n = acc.len(); debug_assert_eq!(n, 256); @@ -1434,12 +1631,21 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q let x_lo: Vec = x[0..h].to_vec(); let x_hi: Vec = x[h..n].to_vec(); + // z1_reg holds z1 = (lo+hi)^2, width 2*(h+1). let mut z1_reg = b.alloc_qubits(2 * (h + 1)); - + // KARA_FREE_Z1_TOPBIT: after z1 -= z0; z1 -= z2, z1_reg holds 2*lo*hi < 2^257, + // so its top bit (index 2(h+1)-1 = 257) is provably 0 throughout the Solinas + // peak. Free it for that window; re-grab a fresh zero before z1 += z2 restores + // (lo+hi)^2 for the inverse uncompute. Bennett-clean (free zero, alloc zero). let free_z1_top = std::env::var("KARA_FREE_Z1_TOPBIT").ok().as_deref() == Some("1"); - + // The z0=lo^2 / z2=hi^2 squares coexist with tmp_ext(2n)+z1_reg, and the + // _fast symmetric square allocates a ~(h)-wide cuccaro carry lane on top of + // its ~(h)-wide row — that lane is the round84 peak binder. The ancilla-free + // _lowq square drops the carry lane (peak −~h) at a higher Toffoli cost. + // z1=(lo+hi)^2 is computed before tmp_ext (low peak), so it stays _fast. let z02_lowq = std::env::var("KARA_Z02_LOWQ").ok().as_deref() == Some("1"); + // ── Forward z1 = (lo+hi)^2 FIRST (tmp_ext not yet allocated → low peak). ── { let x_sum = b.alloc_qubits(h + 1); karatsuba_half_sum_compute(b, &x_lo, &x_hi, &x_sum); @@ -1448,12 +1654,16 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q b.free_vec(&x_sum); } + // 2n-bit result accumulator for x^2 (allocated after the z1 square so its + // 2n qubits never coexist with the z1 operand/row registers). let tmp_ext = b.alloc_qubits(2 * n); + // z0 = lo^2 → tmp_ext[0..2h], z2 = hi^2 → tmp_ext[2h..4h]. { let slice: Vec = tmp_ext[0..2 * h].to_vec(); if z02_lowq { - + // z2 slice (tmp_ext[2h..4h]) is still clean here → host z0's fast + // carry there (Toffoli-free peak drop) instead of paying lowq. let host: Vec = tmp_ext[2 * h..4 * h].to_vec(); schoolbook_square_symmetric_hosted(b, &x_lo, &slice, &host); } else { @@ -1465,7 +1675,10 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q if z02_lowq { if kara_z2_selfhost_enabled() { if square_selfhost_safe_lane_reuse_enabled() { - + // z1=(lo+hi)^2 and z0=lo^2 are exact integer squares here. + // Every square is 0 or 1 mod 4, so bit 1 of each register is + // provably |0>. Both lanes are disjoint from x_hi, z2, and + // z2's own untouched-tail carry lanes. let clean_square_bits = [z1_reg[1], tmp_ext[1]]; schoolbook_square_symmetric_lowq_selfhosted_with_clean_supplement( b, @@ -1484,6 +1697,8 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q } } + // Combine: z1 -= z0; z1 -= z2; mid (tmp_ext[h..4h]) += z1. Non-fast Cuccaro + // (no carry ancilla) keeps the peak flat while tmp_ext + z1_reg are live. { let pad = b.alloc_qubits(2); let mut z0_ext: Vec = tmp_ext[0..2 * h].to_vec(); @@ -1498,7 +1713,7 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q sub_nbit_qq(b, &z2_ext, &z1_reg); b.free_vec(&pad); } - + // z1_reg == 2*lo*hi < 2^257 here ⇒ bit 257 is 0. Release it for the peak window. if free_z1_top { let top = z1_reg.pop().expect("z1_reg width 2*(h+1) >= 2"); b.free(top); @@ -1512,12 +1727,26 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q b.free_vec(&pad); } + // ── Solinas reduction: acc -= (lo + hi·c) mod p. ── + // z1_reg (2(h+1) q) is still live through this whole block, so the lanes + // that allocate a full-width carry ancilla (fast Cuccaro add/sub, fast + // shift) bind the affine-square phase peak. Each lane defaults to its + // low-peak (ancilla-free) variant so the phase peak stays below the global + // GCD-body binder; per-lane env knobs select the higher-peak fast variants + // for measurement (each computes the SAME value on `acc`, so any mix is + // value-correct): + // KARA_SOL_MOD_FAST=1 → fast mod add/sub (else non-fast) + // KARA_SOL_DBL_FAST=1 → fast in-place double/halve (else direct-const) + // KARA_SOL_SHIFT_FAST=1 → fast shift-by-22 (else lowq shift) let mod_fast = std::env::var("KARA_SOL_MOD_FAST").ok().as_deref() == Some("1"); let dbl_fast = std::env::var("KARA_SOL_DBL_FAST").ok().as_deref() == Some("1"); let shift_fast = std::env::var("KARA_SOL_SHIFT_FAST").ok().as_deref() == Some("1"); let lo: Vec = tmp_ext[0..n].to_vec(); let hi: Vec = tmp_ext[n..2 * n].to_vec(); - + // The non-fast mod_add/sub materialize a 256-q load_const for the Solinas + // `c` correction, which coexists with tmp_ext + z1_reg and binds the phase + // peak. The vent form hosts that correction on the operand `a_ext` (dirty, + // value-preserved) for 2 clean qubits, dropping the transient ~n. let mod_vent = std::env::var("KARA_SOL_MOD_VENT").ok().as_deref() == Some("1"); let mod_sub = |b: &mut B, acc: &[QubitId], a: &[QubitId]| { if mod_vent { @@ -1561,19 +1790,29 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q for _ in 0..2 { mod_dbl(b, &hi); } - mod_add(b, acc, &hi); + mod_add(b, acc, &hi); // sign flipped for _ in 0..4 { mod_dbl(b, &hi); } mod_sub(b, acc, &hi); b.set_phase("r84k_sol_shift"); - + // The shift-by-22 lane binds the affine-square phase peak: its lowq form + // allocates a ~(n+1)-wide `padded` scratch on top of the live z1_reg+tmp_ext, + // overflowing the free pool. `acc` (tx) is idle and value-preserved during the + // shift itself, so the dirty-borrow form hosts that scratch on `acc` (venting + // 2-clean), dropping the phase peak well under the GCD-apply binder. Same value + // on `acc`; gated so it can be A/B compared. let shift_dirty = std::env::var("ROUND84_XTAIL_BORROW_CARRIES") .ok() .as_deref() == Some("1"); if shift_dirty { - + // Dirty-doubles form of `acc -= hi * 2^22 mod p`: 22 in-place doubles + // (each borrows `acc` via Gidney venting) avoid the shift's persistent + // k-wide `spill` lane that — stacked on the live z1_reg+tmp_ext base — + // pushed the shift/mid-sub over the GCD-apply binder. `acc` is idle and + // value-preserved during each double/halve, so the phase peak drops well + // under 1558. Mirrors the schoolbook_peak_lowq D1 reduction lane. b.set_phase("r84k_sol_dbl22"); for _ in 0..22 { mod_dbl(b, &hi); @@ -1605,6 +1844,7 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q mod_hlv(b, &hi); } + // ── Inverse combine: mid -= z1; z1 += z2; z1 += z0. ── b.set_phase("r84k_inv_combine"); { let pad = b.alloc_qubits(3 * h - z1_reg.len()); @@ -1614,7 +1854,7 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q sub_nbit_qq(b, &z1_ext, &acc_slice); b.free_vec(&pad); } - + // Restore z1_reg top bit (fresh zero) before z1 += z2 can re-set it. if free_z1_top { let top = b.alloc_qubit(); z1_reg.push(top); @@ -1634,13 +1874,16 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q b.free_vec(&pad); } + // Uncompute z2, z0 (reverse of forward compute order), then free tmp_ext. b.set_phase("r84k_z_inv_squares"); { let slice: Vec = tmp_ext[2 * h..4 * h].to_vec(); if z02_lowq { if kara_z2_selfhost_enabled() { if square_selfhost_safe_lane_reuse_enabled() { - + // Inverse-combine restored the exact z1 and z0 squares + // before this block, so their square-bit-1 lanes are clean + // scratch again (the mirror of the forward z2 proof). let clean_square_bits = [z1_reg[1], tmp_ext[1]]; schoolbook_square_symmetric_lowq_selfhosted_inverse_with_clean_supplement( b, @@ -1661,7 +1904,8 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q { let slice: Vec = tmp_ext[0..2 * h].to_vec(); if z02_lowq { - + // z2 slice was just uncomputed above → clean again, host inv-z0's + // borrow there (mirror of the forward z0 hosting). let host: Vec = tmp_ext[2 * h..4 * h].to_vec(); schoolbook_square_symmetric_hosted_inverse(b, &x_lo, &slice, &host); } else { @@ -1670,6 +1914,7 @@ pub(crate) fn squaring_sub_from_acc_karatsuba(b: &mut B, acc: &[QubitId], x: &[Q } b.free_vec(&tmp_ext); + // Uncompute z1 last (mirrors the forward z1-first ordering, tmp_ext freed). { let x_sum = b.alloc_qubits(h + 1); karatsuba_half_sum_compute(b, &x_lo, &x_hi, &x_sum); @@ -1772,10 +2017,32 @@ pub(crate) fn squaring_sub_from_acc_walk_controls_lowq(b: &mut B, acc: &[QubitId b.free_vec(&ctrl_copy); } + +// HYP-12 lever (the round84 Solinas fold/unfold wall @1221). The fold's +// quotient*c product is built by shifted adds of the 33-bit quotient `q` into +// the 66-bit `product`. To match widths the caller zero-extends `q` with a +// `pad` whose width is `product.len()-shift-33` (=29 at shift=4). MEASURED: +// the shift=4 pad (29 transient |0> lanes) is the SOLE binder that pins the +// fold phase at 1221 (UNQ_sh4=1221, the next is UNQ_sh5=1219). The high `pad` +// bits are all 0, so the work on `product[shift+33..]` is a pure carry ripple, +// not a real add. This lever replaces the 29-lane pad with a single carry +// `wrap` + a Gidney measure-vented carry ripple (`ciadd/cisub_dirty_2clean`, +// borrowing the idle `acc`/`dirty` lanes + 2 clean, uncompute=0) and an +// ancilla-free `cmp_lt_into` wrap-uncompute (1 c_in, ~n CCX, no carry array). +// Net: the qprod transient drops from product+~30 to product+~3 => the fold +// peak falls below 1221, exposing the global drop to 1220 (with SEG<=193 the +// square is already <=1220 there). Value-exact (a permutation that round- +// trips); default OFF (byte-identical base). fn round84_qprod_vent_pad_enabled() -> bool { std::env::var("ROUND84_QPROD_VENT_PAD").ok().as_deref() == Some("1") } +// Only the WIDEST-pad shifted add binds the fold peak (MEASURED: shift=4 pins +// 1221, shift=5 sits at 1219). Venting the narrower-pad shifts adds Toffoli +// (a cmp_lt wrap-uncompute + a vented ripple) for no peak gain, so by default +// the lever only vents shifts whose pad width exceeds this threshold. The +// shift=4 pad is `66-4-33 = 29`; shift=5 is 28; set the cutoff at 29 so only +// shift=4 vents. Override with ROUND84_QPROD_VENT_PAD_MINW to vent more. fn round84_qprod_vent_pad_min_width() -> usize { std::env::var("ROUND84_QPROD_VENT_PAD_MINW") .ok() @@ -1783,6 +2050,18 @@ fn round84_qprod_vent_pad_min_width() -> usize { .unwrap_or(29) } +// NOTE (measured): venting must cover BOTH the fold's qprod-uncompute AND the +// unfold's qprod-compute — each builds the 66-bit product with the 29-lane +// shift=4 pad and reaches 1221 (the fold-compute @1220 and unfold-uncompute +// @1220 are 1 below, but the round-trip needs all four product builds vented +// to clear the wall). The lever therefore vents every shift>=MINW build in +// both compute and uncompute. + +/// One shifted small-add of `q` (33-bit) into `product[shift..]`, with the +/// high zero-extension realized as a vented carry ripple instead of a `pad`. +/// `add=true` => `product[shift..] += q`; `add=false` => `-= q`. The carry/ +/// borrow `wrap` is recomputed-and-freed in place (no residue), so this is the +/// exact width-matched equivalent of the padded `cuccaro_add/sub` it replaces. fn round84_qprod_shifted_addsub_vented( b: &mut B, q: &[QubitId], @@ -1791,11 +2070,13 @@ fn round84_qprod_shifted_addsub_vented( add: bool, dirty: &[QubitId], ) { - let m = q.len(); + let m = q.len(); // 33 let total = product.len() - shift; debug_assert!(total >= m); - let high_w = total - m; + let high_w = total - m; // width of the zero-extension (carry ripple region) + // The vent helper needs n>4 dirty/clean lanes; for tiny tails fall back to + // the padded coherent add (these shifts never bind the peak). if high_w < 5 || dirty.len() < high_w.saturating_sub(2) { let target = &product[shift..]; let pad = b.alloc_qubits(high_w); @@ -1816,11 +2097,11 @@ fn round84_qprod_shifted_addsub_vented( let high = &product[shift + m..]; if add { - + // product[shift..shift+m] += q, carry-out -> wrap. let c_in = b.alloc_qubit(); cuccaro_add_low_to_ext_clean(b, q, &low_ext, c_in); b.free(c_in); - + // Ripple the carry: product[shift+m..] += wrap (vented, dirty-borrowed). let clean2 = [b.alloc_qubit(), b.alloc_qubit()]; venting::ciadd_dirty_2clean_classical( b, @@ -1833,19 +2114,19 @@ fn round84_qprod_shifted_addsub_vented( ); b.free(clean2[1]); b.free(clean2[0]); - + // Uncompute wrap: carry == (new_low < q). cmp_lt_into uses 1 c_in only. cmp_lt_into(b, &product[shift..shift + m], q, wrap); } else { - + // product[shift..shift+m] -= q, borrow-out -> wrap. let c_in = b.alloc_qubit(); cuccaro_sub_low_to_ext_clean(b, q, &low_ext, c_in); b.free(c_in); - + // Ripple the borrow: product[shift+m..] -= wrap (vented). let clean2 = [b.alloc_qubit(), b.alloc_qubit()]; venting::cisub_dirty_2clean_classical(b, high, &dirty[..high_w - 2], &clean2, 1, wrap); b.free(clean2[1]); b.free(clean2[0]); - + // Uncompute wrap: borrow == carry_out(new_low + q) == (~q < new_low). for &qb in q { b.x(qb); } @@ -1856,607 +2137,3 @@ fn round84_qprod_shifted_addsub_vented( } b.free(wrap); } - -pub(crate) fn cross_addsub_stage1( - b: &mut B, - prod: &[QubitId], - off: usize, - addend: &[QubitId], - ctrl: QubitId, -) { - let w = prod.len(); - let m = addend.len(); - if m == 0 { - return; - } - debug_assert!(off + m <= w); - let t = b.alloc_qubits(w); - for k in 0..m { - b.cx(addend[k], t[off + k]); - } - b.x(ctrl); - for k in 0..w { - b.cx(ctrl, t[k]); - } - let cin = b.alloc_qubit(); - b.cx(ctrl, cin); - cuccaro_add(b, &t, prod, cin); - b.cx(ctrl, cin); - for k in 0..w { - b.cx(ctrl, t[k]); - } - b.x(ctrl); - for k in 0..m { - b.cx(addend[k], t[off + k]); - } - b.free(cin); - b.free_vec(&t); -} - -pub(crate) fn square_addsub_stage1(b: &mut B, x: &[QubitId], prod: &[QubitId]) { - let n = x.len(); - debug_assert_eq!(prod.len(), 2 * n); - - for i in 0..n { - let m = n - 1 - i; - if m == 0 { - continue; - } - let off = 2 * i + 1; - cross_addsub_stage1(b, prod, off, &x[i + 1..n], x[i]); - } - - let t = b.alloc_qubits(2 * n); - for i in 0..n { - let p = 2 * i + 1; - if p < 2 * n { - b.cx(x[i], t[p]); - } - } - let cin = b.alloc_qubit(); - cuccaro_add(b, &t, prod, cin); - b.free(cin); - for i in 0..n { - let p = 2 * i + 1; - if p < 2 * n { - b.cx(x[i], t[p]); - } - } - b.free_vec(&t); - - let zero_ctrl = b.alloc_qubit(); - cross_addsub_stage1(b, prod, 0, x, zero_ctrl); - b.free(zero_ctrl); -} - -/// M023: when `TLM_SQUARE_FROM_ZERO=1`, specialize the provably-|0> operand bits of the -/// `square_corr_forward`/`inverse` correction adders to the measured (`hmr`+`cz_if`) -/// AND-uncompute, removing one CCX per zero operand bit, bit-exactly. Read once and cached. -fn square_from_zero_enabled() -> bool { - static ENABLED: std::sync::OnceLock = std::sync::OnceLock::new(); - *ENABLED.get_or_init(|| std::env::var("TLM_SQUARE_FROM_ZERO").ok().as_deref() == Some("1")) -} - -fn square_corr_forward(b: &mut B, x: &[QubitId], prod: &[QubitId]) { - let n = x.len(); - let fz = square_from_zero_enabled(); - - let zeros = b.alloc_qubits(n); - let mut a2d: Vec = Vec::with_capacity(2 * n); - for i in 0..n { - a2d.push(zeros[i]); - a2d.push(x[i]); - } - let cin = b.alloc_qubit(); - if fz { - // a2d = [zeros[0], x[0], zeros[1], x[1], ...] -> even indices are |0>. - let mask: Vec = (0..2 * n).map(|j| j % 2 == 0).collect(); - cuccaro_add_from_zero(b, &a2d, prod, cin, &mask); - } else { - cuccaro_add(b, &a2d, prod, cin); - } - b.free(cin); - b.free_vec(&zeros); - - let pad = b.alloc_qubits(n); - let mut xext = x.to_vec(); - xext.extend_from_slice(&pad); - let cinx = b.alloc_qubit(); - if fz { - // xext = x || pad[n] -> the high half (indices >= n) is |0>. - let mask: Vec = (0..2 * n).map(|j| j >= n).collect(); - cuccaro_sub_from_zero(b, &xext, prod, cinx, &mask); - } else { - cuccaro_sub(b, &xext, prod, cinx); - } - b.free(cinx); - b.free_vec(&pad); - - let p1 = b.alloc_qubit(); - let mut a = x[0..n - 1].to_vec(); - a.push(p1); - let high: Vec = prod[n..2 * n].to_vec(); - let cinl = b.alloc_qubit(); - b.x(cinl); - if fz { - // a = x[0..n-1] || p1 -> only the top bit is |0> (no UMA there; 0 savings, harmless). - let mask: Vec = (0..n).map(|j| j == n - 1).collect(); - cuccaro_add_from_zero(b, &a, &high, cinl, &mask); - } else { - cuccaro_add(b, &a, &high, cinl); - } - b.x(cinl); - b.free(cinl); - b.free(p1); - - b.x(prod[2 * n - 1]); -} - -fn square_corr_inverse(b: &mut B, x: &[QubitId], prod: &[QubitId]) { - let n = x.len(); - let fz = square_from_zero_enabled(); - - b.x(prod[2 * n - 1]); - - let p1 = b.alloc_qubit(); - let mut a = x[0..n - 1].to_vec(); - a.push(p1); - let high: Vec = prod[n..2 * n].to_vec(); - let cinl = b.alloc_qubit(); - b.x(cinl); - if fz { - // a = x[0..n-1] || p1 -> only the top bit is |0> (no inv-MAJ there; 0 savings). - let mask: Vec = (0..n).map(|j| j == n - 1).collect(); - cuccaro_sub_from_zero(b, &a, &high, cinl, &mask); - } else { - cuccaro_sub(b, &a, &high, cinl); - } - b.x(cinl); - b.free(cinl); - b.free(p1); - - let pad = b.alloc_qubits(n); - let mut xext = x.to_vec(); - xext.extend_from_slice(&pad); - let cinx = b.alloc_qubit(); - if fz { - // xext = x || pad[n] -> the high half (indices >= n) is |0>. - let mask: Vec = (0..2 * n).map(|j| j >= n).collect(); - cuccaro_add_from_zero(b, &xext, prod, cinx, &mask); - } else { - cuccaro_add(b, &xext, prod, cinx); - } - b.free(cinx); - b.free_vec(&pad); - - let zeros = b.alloc_qubits(n); - let mut a2d: Vec = Vec::with_capacity(2 * n); - for i in 0..n { - a2d.push(zeros[i]); - a2d.push(x[i]); - } - let cin = b.alloc_qubit(); - if fz { - // a2d = [zeros[0], x[0], zeros[1], x[1], ...] -> even indices are |0>. - let mask: Vec = (0..2 * n).map(|j| j % 2 == 0).collect(); - cuccaro_sub_from_zero(b, &a2d, prod, cin, &mask); - } else { - cuccaro_sub(b, &a2d, prod, cin); - } - b.free(cin); - b.free_vec(&zeros); -} - -pub(crate) fn square_addsub_local(b: &mut B, x: &[QubitId], prod: &[QubitId]) { - let n = x.len(); - debug_assert_eq!(prod.len(), 2 * n); - - for i in 0..n { - let m = n - 1 - i; - if m == 0 { - continue; - } - let off = 2 * i + 1; - let slice: Vec = prod[off..off + m + 1].to_vec(); - controlled_add_subtract_lowq(b, &x[i + 1..n], &slice, x[i]); - } - - let t = b.alloc_qubits(2 * n); - for i in 0..n { - let p = 2 * i + 1; - if p < 2 * n { - b.cx(x[i], t[p]); - } - } - let cin = b.alloc_qubit(); - cuccaro_add(b, &t, prod, cin); - b.free(cin); - for i in 0..n { - let p = 2 * i + 1; - if p < 2 * n { - b.cx(x[i], t[p]); - } - } - b.free_vec(&t); - - let zc = b.alloc_qubit(); - cross_addsub_stage1(b, prod, 0, x, zc); - b.free(zc); - - if n >= 2 { - let oc = b.alloc_qubit(); - b.x(oc); - cross_addsub_stage1(b, prod, n, &x[0..n - 1], oc); - b.x(oc); - b.free(oc); - } - - let t2 = b.alloc_qubits(2 * n); - b.x(t2[2 * n - 1]); - b.x(t2[n]); - let cin2 = b.alloc_qubit(); - cuccaro_add(b, &t2, prod, cin2); - b.free(cin2); - b.x(t2[2 * n - 1]); - b.x(t2[n]); - b.free_vec(&t2); -} - -pub(crate) fn controlled_add_subtract_vented_borrowed( - b: &mut B, - x: &[QubitId], - acc: &[QubitId], - ctrl: QubitId, - carries: &[QubitId], -) { - let n = x.len(); - debug_assert_eq!(acc.len(), n + 1); - let pad = b.alloc_qubit(); - let mut x_ext = x.to_vec(); - x_ext.push(pad); - let c_in = b.alloc_qubit(); - b.x(ctrl); - for i in 0..n { - b.cx(ctrl, x_ext[i]); - } - b.cx(ctrl, c_in); - cuccaro_add_fast_borrowed_carries(b, &x_ext, acc, c_in, carries); - b.cx(ctrl, c_in); - for i in 0..n { - b.cx(ctrl, x_ext[i]); - } - b.x(ctrl); - b.free(c_in); - b.free(pad); -} - -pub(crate) fn square_addsub_vented(b: &mut B, x: &[QubitId], prod: &[QubitId]) { - let n = x.len(); - debug_assert_eq!(prod.len(), 2 * n); - for i in 0..n { - let m = n - 1 - i; - if m == 0 { - continue; - } - let off = 2 * i + 1; - let slice: Vec = prod[off..off + m + 1].to_vec(); - - let hi = off + m + 1; - let need = m; - let carries: Vec = prod[hi..hi + need].to_vec(); - controlled_add_subtract_vented_borrowed(b, &x[i + 1..n], &slice, x[i], &carries); - } - - square_corr_forward(b, x, prod); -} - -pub(crate) fn square_addsub_local_inverse(b: &mut B, x: &[QubitId], prod: &[QubitId]) { - let n = x.len(); - debug_assert_eq!(prod.len(), 2 * n); - let t2 = b.alloc_qubits(2 * n); - b.x(t2[2 * n - 1]); - b.x(t2[n]); - let cin2 = b.alloc_qubit(); - cuccaro_sub(b, &t2, prod, cin2); - b.free(cin2); - b.x(t2[2 * n - 1]); - b.x(t2[n]); - b.free_vec(&t2); - if n >= 2 { - let zc = b.alloc_qubit(); - cross_addsub_stage1(b, prod, n, &x[0..n - 1], zc); - b.free(zc); - } - let oc = b.alloc_qubit(); - b.x(oc); - cross_addsub_stage1(b, prod, 0, x, oc); - b.x(oc); - b.free(oc); - let t = b.alloc_qubits(2 * n); - for i in 0..n { - let p = 2 * i + 1; - if p < 2 * n { - b.cx(x[i], t[p]); - } - } - let cin = b.alloc_qubit(); - cuccaro_sub(b, &t, prod, cin); - b.free(cin); - for i in 0..n { - let p = 2 * i + 1; - if p < 2 * n { - b.cx(x[i], t[p]); - } - } - b.free_vec(&t); - for i in (0..n).rev() { - let m = n - 1 - i; - if m == 0 { - continue; - } - let off = 2 * i + 1; - let slice: Vec = prod[off..off + m + 1].to_vec(); - controlled_add_subtract_lowq_inverse(b, &x[i + 1..n], &slice, x[i]); - } -} - -pub(crate) fn controlled_add_subtract_vented_borrowed_inverse( - b: &mut B, - x: &[QubitId], - acc: &[QubitId], - ctrl: QubitId, - carries: &[QubitId], -) { - let n = x.len(); - debug_assert_eq!(acc.len(), n + 1); - let pad = b.alloc_qubit(); - let mut x_ext = x.to_vec(); - x_ext.push(pad); - let c_in = b.alloc_qubit(); - b.x(ctrl); - for i in 0..n { - b.cx(ctrl, x_ext[i]); - } - b.cx(ctrl, c_in); - cuccaro_sub_fast_borrowed_carries(b, &x_ext, acc, c_in, carries); - b.cx(ctrl, c_in); - for i in 0..n { - b.cx(ctrl, x_ext[i]); - } - b.x(ctrl); - b.free(c_in); - b.free(pad); -} - -pub(crate) fn square_addsub_vented_inverse(b: &mut B, x: &[QubitId], prod: &[QubitId]) { - let n = x.len(); - debug_assert_eq!(prod.len(), 2 * n); - - square_corr_inverse(b, x, prod); - - for i in (0..n).rev() { - let m = n - 1 - i; - if m == 0 { - continue; - } - let off = 2 * i + 1; - let slice: Vec = prod[off..off + m + 1].to_vec(); - let hi = off + m + 1; - let carries: Vec = prod[hi..hi + m].to_vec(); - controlled_add_subtract_vented_borrowed_inverse(b, &x[i + 1..n], &slice, x[i], &carries); - } -} - -pub(crate) mod square_addsub_selftest { - use super::*; - use crate::sim::Simulator; - use crate::circuit::OperationType; - use sha3::digest::{ExtendableOutput, Update, XofReader}; - - fn count_tof(ops: &[crate::circuit::Op]) -> usize { - ops.iter() - .filter(|o| matches!(o.kind, OperationType::CCX | OperationType::CCZ)) - .count() - } - - pub(crate) fn toffoli_compare() { - for &n in &[128usize, 129] { - let mut b1 = B::new(); - let x1 = b1.alloc_qubits(n); - let p1 = b1.alloc_qubits(2 * n); - schoolbook_square_symmetric(&mut b1, &x1, &p1); - let cur = count_tof(&b1.ops); - let peak_cur = b1.peak_qubits; - - let mut b2 = B::new(); - let x2 = b2.alloc_qubits(n); - let p2 = b2.alloc_qubits(2 * n); - square_addsub_vented(&mut b2, &x2, &p2); - let new = count_tof(&b2.ops); - let peak_new = b2.peak_qubits; - - println!( - " SQ_TOF n={n}: current(AND) CCX={cur} peakQ={peak_cur} | addsub_vented CCX={new} peakQ={peak_new} | delta={}", - cur as i64 - new as i64 - ); - } - } - - pub(crate) fn run() { - let big = std::env::var("TLM_SQ_SELFTEST_BIG").ok().as_deref() == Some("1"); - exhaustive_small_n(); - random_large_n(if big { 4096 } else { 64 }); - println!(" SQ_SELFTEST (vented): bit-exact vs classical x^2 — 0 divergence"); - inverse_drains_to_zero(if big { 4096 } else { 256 }); - println!(" SQ_SELFTEST (inverse): forward+inverse drains prod to 0, clean"); - toffoli_compare(); - } - - fn inverse_drains_to_zero(count: usize) { - for &n in &[1usize, 2, 3, 8, 32, 127, 128, 129] { - let mut seed = sha3::Shake256::default(); - seed.update(b"missed3-inv"); - seed.update(&[n as u8]); - let mut xof = seed.finalize_xof(); - let mut buf = [0u8; 32]; - let batches = (count / 64).max(1); - for batch in 0..batches { - let mut xs = Vec::with_capacity(64); - for _ in 0..64 { - xof.read(&mut buf); - let mut v = U256::from_le_bytes(buf); - if n < 256 { - v &= (U256::from(1u64) << n) - U256::from(1u64); - } - xs.push(v); - } - let mut b = B::new(); - let x = b.alloc_qubits(n); - let prod = b.alloc_qubits(2 * n); - square_addsub_vented(&mut b, &x, &prod); - square_addsub_vented_inverse(&mut b, &x, &prod); - let nq = b.next_qubit as usize; - let nb = b.next_bit as usize; - let mut s2 = sha3::Shake256::default(); - s2.update(b"missed3-inv-sim"); - s2.update(&[n as u8, batch as u8]); - let mut xof2 = s2.finalize_xof(); - let mut sim = Simulator::new(nq, nb, &mut xof2); - sim.clear_for_shot(); - for (shot, xv) in xs.iter().enumerate() { - for i in 0..n { - if xv.bit(i) { - *sim.qubit_mut(x[i]) |= 1u64 << shot; - } - } - } - sim.apply_iter(b.ops.iter()); - assert_eq!(sim.phase, 0, "inv n={n} b{batch}: phase garbage"); - - let mut is_x = vec![false; nq]; - for &q in x.iter() { - is_x[q.0 as usize] = true; - } - for q in 0..nq { - if !is_x[q] { - assert_eq!( - sim.qubit(QubitId(q as u64)), - 0, - "inv n={n} b{batch}: nonzero q{q} (prod/ancilla not drained)" - ); - } - } - for (shot, xv) in xs.iter().enumerate() { - for i in 0..n { - let got = (sim.qubit(x[i]) >> shot) & 1 == 1; - assert_eq!(got, xv.bit(i), "inv n={n} b{batch}: x[{i}] corrupted"); - } - } - } - } - } - - fn check_square(n: usize, xs: &[U256], label: &str) { - assert!(xs.len() <= 64); - let mut b = B::new(); - let x = b.alloc_qubits(n); - let prod = b.alloc_qubits(2 * n); - square_addsub_vented(&mut b, &x, &prod); - let nq = b.next_qubit as usize; - let nb = b.next_bit as usize; - - let mut seed = sha3::Shake256::default(); - seed.update(b"missed3-square-addsub-stage1"); - seed.update(label.as_bytes()); - let mut xof = seed.finalize_xof(); - - let mut sim = Simulator::new(nq, nb, &mut xof); - sim.clear_for_shot(); - for (shot, xv) in xs.iter().enumerate() { - for i in 0..n { - if xv.bit(i) { - *sim.qubit_mut(x[i]) |= 1u64 << shot; - } - } - } - sim.apply_iter(b.ops.iter()); - - let cond_mask: u64 = if xs.len() == 64 { - u64::MAX - } else { - (1u64 << xs.len()) - 1 - }; - if sim.phase & cond_mask != 0 { - let mut is_reg = vec![false; nq]; - for &q in x.iter().chain(prod.iter()) { - is_reg[q.0 as usize] = true; - } - for q in 0..nq { - let v = sim.qubit(QubitId(q as u64)) & cond_mask; - if !is_reg[q] && v != 0 { - eprintln!(" DIRTY q{q} = {v:#018x}"); - } - } - panic!("{label}: phase garbage {:#018x}", sim.phase & cond_mask); - } - - for (shot, xv) in xs.iter().enumerate() { - let mut out = U256::ZERO; - for i in 0..(2 * n) { - if (sim.qubit(prod[i]) >> shot) & 1 == 1 { - out |= U256::from(1u64) << i; - } - } - let expect = xv.wrapping_mul(*xv); - assert_eq!(out, expect, "{label}: shot {shot} x={xv:#x} got {out:#x}"); - } - - let mut is_reg = vec![false; nq]; - for &q in x.iter().chain(prod.iter()) { - is_reg[q.0 as usize] = true; - } - for q in 0..nq { - if !is_reg[q] { - assert_eq!( - sim.qubit(QubitId(q as u64)) & cond_mask, - 0, - "{label}: dirty ancilla q{q}" - ); - } - } - } - - fn exhaustive_small_n() { - for n in 1..=6usize { - let limit = 1usize << n; - let xs: Vec = (0..limit).map(|v| U256::from(v as u64)).collect(); - - for chunk in xs.chunks(64) { - check_square(n, chunk, &format!("exhaustive-n{n}")); - } - } - } - - fn random_large_n(batches: usize) { - for &n in &[8usize, 16, 32, 64, 127, 128, 129] { - let mut seed = sha3::Shake256::default(); - seed.update(b"missed3-rand"); - seed.update(&[n as u8]); - let mut xof = seed.finalize_xof(); - let mut buf = [0u8; 32]; - for batch in 0..batches { - let mut xs = Vec::with_capacity(64); - for _ in 0..64 { - xof.read(&mut buf); - let mut v = U256::from_le_bytes(buf); - - if n < 256 { - v &= (U256::from(1u64) << n) - U256::from(1u64); - } - xs.push(v); - } - check_square(n, &xs, &format!("rand-n{n}-b{batch}")); - } - } - } -} diff --git a/src/point_add/arith/nbit.rs b/src/point_add/arith/nbit.rs index 6216a2ff..443bf9fc 100644 --- a/src/point_add/arith/nbit.rs +++ b/src/point_add/arith/nbit.rs @@ -7,6 +7,7 @@ pub(crate) fn add_nbit_qq_fast(b: &mut B, a: &[QubitId], acc: &[QubitId]) { b.free(c_in); } +/// Fast `acc -= a mod 2^n` using measurement-based Cuccaro. pub(crate) fn sub_nbit_qq_fast(b: &mut B, a: &[QubitId], acc: &[QubitId]) { assert_eq!(a.len(), acc.len()); let c_in = b.alloc_qubit(); @@ -26,133 +27,142 @@ pub(crate) fn add_nbit_qq_fast_borrowed_carries( b.free(c_in); } -pub(crate) fn sub_nbit_qq_fast_borrowed_carries( - b: &mut B, - a: &[QubitId], - acc: &[QubitId], - carries: &[QubitId], +pub(crate) fn sub_nbit_qq_fast_borrowed_carries( + b: &mut B, + a: &[QubitId], + acc: &[QubitId], + carries: &[QubitId], ) { assert_eq!(a.len(), acc.len()); let c_in = b.alloc_qubit(); - cuccaro_sub_fast_borrowed_carries(b, a, acc, c_in, carries); - b.free(c_in); -} - -#[inline] -fn maj3_into_clean_2ccx(b: &mut B, x: QubitId, y: QubitId, z: QubitId, target: QubitId) { - debug_assert!(x != y && x != z && x != target && y != z && y != target && z != target); - b.ccx(x, z, target); - b.cx(x, z); - b.ccx(y, z, target); - b.cx(x, z); -} - -pub(crate) fn add_short_to_long_qq_fast_no_cin(b: &mut B, a: &[QubitId], acc: &[QubitId]) { - let m = a.len(); - let n = acc.len(); - assert!(m > 0); - assert!(m <= n); - if n == 1 { - b.cx(a[0], acc[0]); - return; - } - - let carries = b.alloc_qubits(n - 1); - for i in 0..n - 1 { - if i < m { - if i == 0 { - b.ccx(acc[i], a[i], carries[i]); - } else { - maj3_into_clean_2ccx(b, acc[i], a[i], carries[i - 1], carries[i]); - } - } else { - b.ccx(acc[i], carries[i - 1], carries[i]); - } - } - - for i in 0..n { - if i < m { - b.cx(a[i], acc[i]); - } - if i > 0 { - b.cx(carries[i - 1], acc[i]); - } - } - - for i in (0..n - 1).rev() { - let bit = b.alloc_bit(); - b.hmr(carries[i], bit); - if i < m { - b.x(acc[i]); - b.cz_if(acc[i], a[i], bit); - if i > 0 { - b.cz_if(acc[i], carries[i - 1], bit); - b.x(acc[i]); - b.cz_if(a[i], carries[i - 1], bit); - } else { - b.x(acc[i]); - } - } else { - b.x(acc[i]); - b.cz_if(acc[i], carries[i - 1], bit); - b.x(acc[i]); - } - } - b.free_vec(&carries); -} - -pub(crate) fn sub_short_to_long_qq_fast_no_cin(b: &mut B, a: &[QubitId], acc: &[QubitId]) { - let m = a.len(); - let n = acc.len(); - assert!(m > 0); - assert!(m <= n); - if n == 1 { - b.cx(a[0], acc[0]); - return; - } - - let borrows = b.alloc_qubits(n - 1); - for i in 0..n - 1 { - if i < m { - b.x(acc[i]); - if i == 0 { - b.ccx(acc[i], a[i], borrows[i]); - } else { - maj3_into_clean_2ccx(b, acc[i], a[i], borrows[i - 1], borrows[i]); - } - b.x(acc[i]); - } else { - b.x(acc[i]); - b.ccx(acc[i], borrows[i - 1], borrows[i]); - b.x(acc[i]); - } - } - - for i in 0..n { - if i < m { - b.cx(a[i], acc[i]); - } - if i > 0 { - b.cx(borrows[i - 1], acc[i]); - } - } - - for i in (0..n - 1).rev() { - let bit = b.alloc_bit(); - b.hmr(borrows[i], bit); - if i < m { - b.cz_if(acc[i], a[i], bit); - if i > 0 { - b.cz_if(acc[i], borrows[i - 1], bit); - b.cz_if(a[i], borrows[i - 1], bit); - } - } else { - b.cz_if(acc[i], borrows[i - 1], bit); - } - } - b.free_vec(&borrows); -} - + cuccaro_sub_fast_borrowed_carries(b, a, acc, c_in, carries); + b.free(c_in); +} + +#[inline] +fn maj3_into_clean_2ccx(b: &mut B, x: QubitId, y: QubitId, z: QubitId, target: QubitId) { + debug_assert!(x != y && x != z && x != target && y != z && y != target && z != target); + b.ccx(x, z, target); + b.cx(x, z); + b.ccx(y, z, target); + b.cx(x, z); +} + +/// Exact measured add of a short source into a longer accumulator, without +/// materializing the zero-valued high suffix of the source. +pub(crate) fn add_short_to_long_qq_fast_no_cin(b: &mut B, a: &[QubitId], acc: &[QubitId]) { + let m = a.len(); + let n = acc.len(); + assert!(m > 0); + assert!(m <= n); + if n == 1 { + b.cx(a[0], acc[0]); + return; + } + + let carries = b.alloc_qubits(n - 1); + for i in 0..n - 1 { + if i < m { + if i == 0 { + b.ccx(acc[i], a[i], carries[i]); + } else { + maj3_into_clean_2ccx(b, acc[i], a[i], carries[i - 1], carries[i]); + } + } else { + b.ccx(acc[i], carries[i - 1], carries[i]); + } + } + + for i in 0..n { + if i < m { + b.cx(a[i], acc[i]); + } + if i > 0 { + b.cx(carries[i - 1], acc[i]); + } + } + + for i in (0..n - 1).rev() { + let bit = b.alloc_bit(); + b.hmr(carries[i], bit); + if i < m { + b.x(acc[i]); + b.cz_if(acc[i], a[i], bit); + if i > 0 { + b.cz_if(acc[i], carries[i - 1], bit); + b.x(acc[i]); + b.cz_if(a[i], carries[i - 1], bit); + } else { + b.x(acc[i]); + } + } else { + b.x(acc[i]); + b.cz_if(acc[i], carries[i - 1], bit); + b.x(acc[i]); + } + } + b.free_vec(&carries); +} + +/// Exact measured subtract of a short source from a longer accumulator, without +/// materializing the zero-valued high suffix of the source. +pub(crate) fn sub_short_to_long_qq_fast_no_cin(b: &mut B, a: &[QubitId], acc: &[QubitId]) { + let m = a.len(); + let n = acc.len(); + assert!(m > 0); + assert!(m <= n); + if n == 1 { + b.cx(a[0], acc[0]); + return; + } + + let borrows = b.alloc_qubits(n - 1); + for i in 0..n - 1 { + if i < m { + b.x(acc[i]); + if i == 0 { + b.ccx(acc[i], a[i], borrows[i]); + } else { + maj3_into_clean_2ccx(b, acc[i], a[i], borrows[i - 1], borrows[i]); + } + b.x(acc[i]); + } else { + b.x(acc[i]); + b.ccx(acc[i], borrows[i - 1], borrows[i]); + b.x(acc[i]); + } + } + + for i in 0..n { + if i < m { + b.cx(a[i], acc[i]); + } + if i > 0 { + b.cx(borrows[i - 1], acc[i]); + } + } + + for i in (0..n - 1).rev() { + let bit = b.alloc_bit(); + b.hmr(borrows[i], bit); + if i < m { + b.cz_if(acc[i], a[i], bit); + if i > 0 { + b.cz_if(acc[i], borrows[i - 1], bit); + b.cz_if(a[i], borrows[i - 1], bit); + } + } else { + b.cz_if(acc[i], borrows[i - 1], bit); + } + } + b.free_vec(&borrows); +} + +/// `acc += a mod 2^n`. Caller must pre-extend both slices if they want the +/// top carry absorbed into the accumulator (i.e. pass n+1-bit slices with +/// top bits 0 to get a full n+1-bit add). The carry-out beyond the slice +/// is discarded via `R` on the `z` ancilla — safe when both inputs fit +/// in n-1 bits (as in our mod-p layer where both < 2p < 2^{n+1}). pub(crate) fn add_nbit_qq(b: &mut B, a: &[QubitId], acc: &[QubitId]) { assert_eq!(a.len(), acc.len()); let c_in = b.alloc_qubit(); @@ -167,6 +177,7 @@ pub(crate) fn sub_nbit_qq(b: &mut B, a: &[QubitId], acc: &[QubitId]) { b.free(c_in); } + pub(crate) fn add_nbit_const(b: &mut B, acc: &[QubitId], c: U256) { let n = acc.len(); let a = load_const(b, n, c); @@ -180,3 +191,5 @@ pub(crate) fn sub_nbit_const(b: &mut B, acc: &[QubitId], c: U256) { sub_nbit_qq(b, &a, acc); unload_const(b, &a, c); } + + diff --git a/src/point_add/deep_strip_keys.rs b/src/point_add/deep_strip_keys.rs index 03ed03f3..3ee53d6f 100644 --- a/src/point_add/deep_strip_keys.rs +++ b/src/point_add/deep_strip_keys.rs @@ -1,17284 +1,13846 @@ -// AUTO-GENERATED by union max-coverage admission (census6/maxcov). -// Key = (kind, q_control2, q_control1, q_target, c_condition, ordinal, tuple_occupancy). -pub(crate) const DEAD_KEYS: &[(u8, u64, u64, u64, u64, u32, u32)] = &[ - (13, 54, 822, 1079, 18446744073709551615, 0, 1), - (13, 55, 823, 1080, 18446744073709551615, 0, 1), - (13, 56, 824, 1081, 18446744073709551615, 0, 1), - (13, 57, 825, 1082, 18446744073709551615, 0, 1), - (13, 58, 826, 1083, 18446744073709551615, 0, 2), - (13, 59, 827, 1084, 18446744073709551615, 0, 2), - (13, 60, 828, 1085, 18446744073709551615, 0, 3), - (13, 61, 829, 1086, 18446744073709551615, 0, 5), - (13, 62, 830, 1087, 18446744073709551615, 0, 6), - (13, 63, 831, 1088, 18446744073709551615, 0, 6), - (13, 64, 832, 1089, 18446744073709551615, 0, 6), - (13, 65, 833, 1090, 18446744073709551615, 0, 6), - (13, 66, 834, 1091, 18446744073709551615, 0, 7), - (13, 67, 835, 1092, 18446744073709551615, 0, 6), - (13, 68, 836, 1093, 18446744073709551615, 0, 7), - (13, 69, 837, 1094, 18446744073709551615, 0, 8), - (13, 70, 838, 1095, 18446744073709551615, 0, 12), - (13, 71, 839, 1096, 18446744073709551615, 0, 12), - (13, 72, 840, 1097, 18446744073709551615, 0, 12), - (13, 73, 841, 1098, 18446744073709551615, 0, 8), - (13, 74, 842, 1099, 18446744073709551615, 0, 9), - (13, 75, 843, 1100, 18446744073709551615, 0, 9), - (13, 76, 844, 1101, 18446744073709551615, 0, 9), - (13, 77, 845, 1102, 18446744073709551615, 0, 9), - (13, 78, 846, 1103, 18446744073709551615, 0, 9), - (13, 79, 847, 1104, 18446744073709551615, 0, 10), - (13, 80, 848, 1105, 18446744073709551615, 0, 11), - (13, 81, 849, 1106, 18446744073709551615, 0, 11), - (13, 82, 850, 1107, 18446744073709551615, 0, 11), - (13, 83, 851, 1108, 18446744073709551615, 0, 11), - (13, 84, 852, 1109, 18446744073709551615, 0, 11), - (13, 85, 853, 1110, 18446744073709551615, 0, 11), - (13, 86, 854, 1111, 18446744073709551615, 0, 11), - (13, 87, 855, 1112, 18446744073709551615, 0, 11), - (13, 88, 856, 1113, 18446744073709551615, 0, 11), - (13, 89, 857, 1114, 18446744073709551615, 0, 11), - (13, 90, 858, 1115, 18446744073709551615, 0, 11), - (13, 91, 859, 1116, 18446744073709551615, 0, 11), - (13, 92, 860, 1117, 18446744073709551615, 0, 11), - (13, 93, 861, 1118, 18446744073709551615, 0, 11), - (13, 94, 862, 1119, 18446744073709551615, 0, 10), - (13, 95, 863, 1120, 18446744073709551615, 0, 9), - (13, 96, 864, 1121, 18446744073709551615, 0, 9), - (13, 97, 865, 1122, 18446744073709551615, 0, 9), - (13, 98, 866, 1123, 18446744073709551615, 0, 9), - (13, 99, 867, 1124, 18446744073709551615, 0, 9), - (13, 100, 868, 1125, 18446744073709551615, 0, 9), - (13, 101, 869, 1126, 18446744073709551615, 0, 9), - (13, 102, 870, 1127, 18446744073709551615, 0, 9), - (13, 103, 871, 1128, 18446744073709551615, 0, 9), - (13, 104, 872, 1129, 18446744073709551615, 0, 9), - (13, 105, 873, 1130, 18446744073709551615, 0, 9), - (13, 106, 874, 1131, 18446744073709551615, 0, 9), - (13, 107, 875, 1132, 18446744073709551615, 0, 9), - (13, 108, 876, 1133, 18446744073709551615, 0, 9), - (13, 109, 877, 1134, 18446744073709551615, 0, 9), - (13, 110, 878, 1135, 18446744073709551615, 0, 9), - (13, 111, 879, 1136, 18446744073709551615, 0, 9), - (13, 112, 880, 1137, 18446744073709551615, 0, 9), - (13, 113, 881, 1138, 18446744073709551615, 0, 8), - (13, 114, 882, 1139, 18446744073709551615, 0, 7), - (13, 115, 883, 1140, 18446744073709551615, 0, 7), - (13, 116, 884, 1141, 18446744073709551615, 0, 7), - (13, 117, 885, 1142, 18446744073709551615, 0, 7), - (13, 118, 886, 1143, 18446744073709551615, 0, 7), - (13, 119, 887, 1144, 18446744073709551615, 0, 7), - (13, 120, 888, 1145, 18446744073709551615, 0, 7), - (13, 121, 889, 1146, 18446744073709551615, 0, 7), - (13, 122, 890, 1147, 18446744073709551615, 0, 7), - (13, 123, 891, 1148, 18446744073709551615, 0, 7), - (13, 124, 892, 1149, 18446744073709551615, 0, 7), - (13, 125, 893, 1150, 18446744073709551615, 0, 6), - (13, 1024, 1150, 0, 18446744073709551615, 0, 195), - (13, 145, 913, 1046, 18446744073709551615, 0, 1), - (13, 146, 914, 1047, 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1041, 1044, 18446744073709551615, 0, 3), - (13, 1028, 1130, 1017, 18446744073709551615, 0, 1), - (13, 1015, 1046, 160, 18446744073709551615, 0, 1), - (13, 286, 76, 58, 18446744073709551615, 3, 6), - (13, 257, 1039, 1041, 18446744073709551615, 0, 1), - (13, 258, 1041, 1044, 18446744073709551615, 1, 2), - (13, 259, 1044, 1040, 18446744073709551615, 2, 3), - (13, 1028, 1126, 226, 18446744073709551615, 0, 1), - (13, 1024, 1017, 248, 18446744073709551615, 0, 18), - (13, 248, 1017, 160, 18446744073709551615, 0, 1), - (13, 257, 1038, 1039, 18446744073709551615, 0, 1), - (13, 258, 1039, 1041, 18446744073709551615, 0, 2), - (13, 259, 1041, 1044, 18446744073709551615, 1, 3), - (13, 1028, 1128, 1035, 18446744073709551615, 0, 1), - (13, 1024, 226, 1037, 18446744073709551615, 0, 17), - (13, 287, 85, 76, 18446744073709551615, 0, 5), - (13, 257, 1030, 1038, 18446744073709551615, 0, 1), - (13, 258, 1038, 1039, 18446744073709551615, 0, 1), - (13, 259, 1039, 1041, 18446744073709551615, 0, 3), - (13, 287, 76, 58, 18446744073709551615, 2, 6), - (13, 1028, 1130, 1020, 18446744073709551615, 0, 1), - (13, 1024, 1035, 1018, 18446744073709551615, 0, 16), - (13, 286, 85, 76, 18446744073709551615, 3, 6), - (13, 257, 1030, 1039, 18446744073709551615, 0, 1), - (13, 258, 1039, 1041, 18446744073709551615, 1, 2), - (13, 259, 1041, 1044, 18446744073709551615, 2, 3), - (13, 1028, 1126, 1063, 18446744073709551615, 0, 1), - (13, 1024, 1020, 251, 18446744073709551615, 0, 15), - (13, 251, 1020, 34, 18446744073709551615, 0, 2), - (13, 257, 1036, 1030, 18446744073709551615, 0, 1), - (13, 258, 1030, 1039, 18446744073709551615, 0, 2), - (13, 259, 1039, 1041, 18446744073709551615, 1, 3), - (13, 287, 76, 58, 18446744073709551615, 4, 6), - (13, 1028, 1128, 1043, 18446744073709551615, 0, 1), - (13, 1024, 1063, 1034, 18446744073709551615, 0, 14), - (13, 1034, 1063, 70, 18446744073709551615, 0, 1), - (13, 287, 94, 85, 18446744073709551615, 0, 3), - (13, 257, 1027, 1036, 18446744073709551615, 0, 1), - (13, 258, 1036, 1030, 18446744073709551615, 0, 1), - (13, 259, 1030, 1039, 18446744073709551615, 0, 2), - (13, 1028, 1130, 1023, 18446744073709551615, 0, 1), - (13, 1024, 1043, 1021, 18446744073709551615, 0, 13), - (13, 1021, 1043, 58, 18446744073709551615, 0, 2), - (13, 286, 94, 85, 18446744073709551615, 3, 5), - (13, 257, 1027, 1030, 18446744073709551615, 0, 1), - (13, 258, 1030, 1039, 18446744073709551615, 1, 2), - (13, 259, 1039, 1041, 18446744073709551615, 2, 3), - (13, 1028, 1126, 229, 18446744073709551615, 0, 1), - (13, 254, 1023, 70, 18446744073709551615, 0, 1), - (13, 287, 94, 85, 18446744073709551615, 1, 3), - (13, 257, 765, 1027, 18446744073709551615, 0, 1), - (13, 258, 1027, 1030, 18446744073709551615, 0, 1), - (13, 259, 1030, 1039, 18446744073709551615, 1, 2), - (13, 1028, 1128, 1038, 18446744073709551615, 0, 1), - (13, 1024, 229, 1031, 18446744073709551615, 0, 11), - (13, 1031, 229, 58, 18446744073709551615, 0, 1), - (13, 286, 120, 103, 18446744073709551615, 0, 2), - (13, 287, 103, 94, 18446744073709551615, 0, 2), - (13, 257, 1032, 765, 18446744073709551615, 0, 1), - (13, 258, 765, 1027, 18446744073709551615, 0, 1), - (13, 259, 1027, 1030, 18446744073709551615, 0, 1), - (13, 287, 94, 85, 18446744073709551615, 2, 3), - (13, 1028, 1130, 1062, 18446744073709551615, 0, 1), - (13, 1049, 1038, 76, 18446744073709551615, 0, 1), - (13, 286, 124, 120, 18446744073709551615, 0, 1), - (13, 257, 1036, 1032, 18446744073709551615, 0, 1), - (13, 258, 1032, 765, 18446744073709551615, 0, 1), - (13, 259, 765, 1027, 18446744073709551615, 0, 1), - (13, 287, 141, 137, 18446744073709551615, 0, 1), - (13, 257, 1007, 235, 18446744073709551615, 0, 1), - (13, 258, 235, 1061, 18446744073709551615, 0, 1), - (13, 259, 1061, 1036, 18446744073709551615, 0, 1), - (13, 286, 189, 180, 18446744073709551615, 0, 2), - (13, 257, 238, 232, 18446744073709551615, 0, 1), - (13, 258, 232, 1060, 18446744073709551615, 0, 1), - (13, 259, 1060, 1007, 18446744073709551615, 0, 1), - (13, 287, 189, 180, 18446744073709551615, 0, 1), - (13, 257, 1062, 238, 18446744073709551615, 0, 1), - (13, 258, 238, 232, 18446744073709551615, 0, 1), - (13, 259, 232, 1060, 18446744073709551615, 0, 1), - (13, 286, 225, 216, 18446744073709551615, 0, 1), - (13, 287, 216, 207, 18446744073709551615, 0, 1), - (13, 257, 241, 1058, 18446744073709551615, 0, 1), - (13, 258, 1058, 1013, 18446744073709551615, 0, 1), - (13, 259, 1013, 1062, 18446744073709551615, 0, 1), - (13, 257, 1057, 1059, 18446744073709551615, 0, 1), - (13, 258, 1059, 1016, 18446744073709551615, 0, 1), - (13, 259, 1016, 241, 18446744073709551615, 0, 1), - (13, 286, 255, 172, 18446744073709551615, 0, 1), - (13, 287, 172, 243, 18446744073709551615, 0, 1), - (13, 257, 1010, 1057, 18446744073709551615, 0, 1), - (13, 258, 1057, 1059, 18446744073709551615, 0, 1), - (13, 259, 1059, 1016, 18446744073709551615, 0, 1), - (13, 286, 1044, 1040, 18446744073709551615, 0, 1), - (13, 287, 1040, 1052, 18446744073709551615, 0, 1), - (13, 257, 1056, 1022, 18446744073709551615, 0, 1), - (13, 258, 1022, 247, 18446744073709551615, 0, 1), - (13, 259, 247, 1010, 18446744073709551615, 0, 1), - (13, 257, 1054, 1019, 18446744073709551615, 0, 1), - (13, 258, 1019, 250, 18446744073709551615, 0, 1), - (13, 259, 250, 1056, 18446744073709551615, 0, 1), - (13, 277, 1062, 238, 18446744073709551615, 0, 3), - (13, 279, 232, 1060, 18446744073709551615, 0, 3), - (13, 280, 1060, 1007, 18446744073709551615, 0, 3), - (13, 283, 1061, 1036, 18446744073709551615, 0, 3), - (13, 284, 1036, 1032, 18446744073709551615, 0, 3), - (13, 285, 1032, 765, 18446744073709551615, 0, 3), - (13, 286, 765, 1027, 18446744073709551615, 0, 3), - (13, 287, 1027, 1030, 18446744073709551615, 0, 3), - (13, 298, 225, 216, 18446744073709551615, 0, 3), - (13, 300, 207, 198, 18446744073709551615, 0, 3), - (13, 302, 189, 180, 18446744073709551615, 0, 3), - (13, 303, 180, 912, 18446744073709551615, 0, 3), - (13, 304, 912, 141, 18446744073709551615, 0, 6), - (13, 305, 141, 1083, 18446744073709551615, 0, 3), - (13, 306, 1083, 141, 18446744073709551615, 0, 3), - (13, 307, 141, 912, 18446744073709551615, 0, 3), - (13, 0, 256, 1025, 18446744073709551615, 246, 248), - (13, 257, 1025, 766, 18446744073709551615, 1, 3), - (13, 258, 766, 1055, 18446744073709551615, 1, 3), - (13, 259, 1055, 1024, 18446744073709551615, 1, 3), - (13, 0, 256, 1025, 18446744073709551615, 247, 248), - (13, 257, 1025, 766, 18446744073709551615, 2, 3), - (13, 258, 766, 1055, 18446744073709551615, 2, 3), - (13, 259, 1055, 1024, 18446744073709551615, 2, 3), - (13, 285, 1032, 765, 18446744073709551615, 2, 3), - (13, 287, 1027, 1030, 18446744073709551615, 2, 3), - (13, 307, 141, 912, 18446744073709551615, 2, 3), - (13, 870, 996, 222, 18446744073709551615, 0, 1), -]; -pub(crate) const DOWNGRADE_KEYS: &[(u8, u64, u64, u64, u64, u32, u32, u8)] = &[ - (13, 31, 799, 800, 18446744073709551615, 0, 1, 2), - (13, 287, 799, 800, 18446744073709551615, 0, 1, 2), - (13, 1, 769, 768, 18446744073709551615, 0, 225, 1), - (13, 1024, 893, 125, 18446744073709551615, 1, 140, 2), - (13, 1024, 892, 124, 18446744073709551615, 1, 141, 2), - (13, 1024, 891, 123, 18446744073709551615, 1, 143, 2), - (13, 1024, 890, 122, 18446744073709551615, 1, 144, 2), - (13, 1024, 889, 121, 18446744073709551615, 1, 145, 2), - (13, 1024, 888, 120, 18446744073709551615, 1, 145, 2), - (13, 1024, 887, 119, 18446744073709551615, 1, 147, 2), - (13, 1024, 886, 118, 18446744073709551615, 1, 147, 2), - (13, 1024, 885, 117, 18446744073709551615, 1, 148, 2), - (13, 1024, 884, 116, 18446744073709551615, 1, 149, 2), - (13, 1024, 883, 115, 18446744073709551615, 1, 150, 2), - (13, 1024, 882, 114, 18446744073709551615, 1, 151, 2), - (13, 1024, 881, 113, 18446744073709551615, 1, 152, 2), - (13, 1024, 880, 112, 18446744073709551615, 1, 153, 2), - (13, 1024, 879, 111, 18446744073709551615, 1, 154, 2), - (13, 1024, 878, 110, 18446744073709551615, 1, 155, 2), - (13, 1024, 877, 109, 18446744073709551615, 1, 156, 2), - (13, 1024, 876, 108, 18446744073709551615, 1, 157, 2), - (13, 1024, 875, 107, 18446744073709551615, 1, 158, 2), - (13, 1024, 874, 106, 18446744073709551615, 1, 159, 2), - (13, 1024, 873, 105, 18446744073709551615, 1, 160, 2), - (13, 1024, 872, 104, 18446744073709551615, 1, 161, 2), - (13, 1024, 871, 103, 18446744073709551615, 1, 162, 2), - (13, 1024, 870, 102, 18446744073709551615, 1, 163, 2), - (13, 1024, 869, 101, 18446744073709551615, 1, 164, 2), - (13, 1024, 868, 100, 18446744073709551615, 1, 165, 2), - (13, 1024, 867, 99, 18446744073709551615, 1, 166, 2), - (13, 1024, 866, 98, 18446744073709551615, 1, 167, 2), - (13, 1024, 865, 97, 18446744073709551615, 1, 168, 2), - (13, 1024, 864, 96, 18446744073709551615, 1, 169, 2), - (13, 1024, 863, 95, 18446744073709551615, 1, 170, 2), - (13, 1024, 862, 94, 18446744073709551615, 1, 171, 2), - (13, 1024, 861, 93, 18446744073709551615, 1, 172, 2), - (13, 1024, 860, 92, 18446744073709551615, 1, 173, 2), - (13, 1024, 859, 91, 18446744073709551615, 1, 174, 2), - (13, 1024, 858, 90, 18446744073709551615, 1, 175, 2), - (13, 1024, 857, 89, 18446744073709551615, 1, 176, 2), - (13, 1024, 856, 88, 18446744073709551615, 1, 177, 2), - (13, 1024, 855, 87, 18446744073709551615, 1, 178, 2), - (13, 1024, 854, 86, 18446744073709551615, 1, 179, 2), - (13, 1024, 853, 85, 18446744073709551615, 1, 180, 2), - (13, 1024, 852, 84, 18446744073709551615, 1, 181, 2), - (13, 1024, 851, 83, 18446744073709551615, 1, 182, 2), - (13, 1024, 850, 82, 18446744073709551615, 1, 183, 2), - (13, 1024, 849, 81, 18446744073709551615, 1, 184, 2), - (13, 1024, 848, 80, 18446744073709551615, 1, 185, 2), - (13, 1024, 847, 79, 18446744073709551615, 1, 186, 2), - (13, 1024, 846, 78, 18446744073709551615, 1, 187, 2), - (13, 1024, 845, 77, 18446744073709551615, 1, 188, 2), - (13, 1024, 844, 76, 18446744073709551615, 1, 189, 2), - (13, 1024, 843, 75, 18446744073709551615, 1, 190, 2), - (13, 1024, 842, 74, 18446744073709551615, 1, 191, 2), - (13, 1024, 841, 73, 18446744073709551615, 1, 192, 2), - (13, 1024, 840, 72, 18446744073709551615, 1, 193, 2), - (13, 1024, 839, 71, 18446744073709551615, 1, 194, 2), - (13, 1024, 838, 70, 18446744073709551615, 1, 195, 2), - (13, 1024, 837, 69, 18446744073709551615, 1, 391, 2), - (13, 1024, 836, 68, 18446744073709551615, 1, 197, 2), - (13, 1024, 835, 67, 18446744073709551615, 1, 198, 2), - (13, 1024, 834, 66, 18446744073709551615, 1, 397, 2), - (13, 1024, 833, 65, 18446744073709551615, 1, 200, 2), - (13, 1024, 832, 64, 18446744073709551615, 1, 201, 2), - (13, 1024, 831, 63, 18446744073709551615, 1, 202, 2), - (13, 1024, 830, 62, 18446744073709551615, 1, 203, 2), - (13, 1024, 829, 61, 18446744073709551615, 1, 204, 2), - (13, 1024, 828, 60, 18446744073709551615, 1, 205, 2), - (13, 1024, 827, 59, 18446744073709551615, 1, 206, 2), - (13, 1024, 826, 58, 18446744073709551615, 1, 207, 2), - (13, 1024, 825, 57, 18446744073709551615, 1, 208, 2), - (13, 1024, 824, 56, 18446744073709551615, 1, 209, 2), - (13, 1024, 823, 55, 18446744073709551615, 1, 210, 2), - (13, 1024, 822, 54, 18446744073709551615, 1, 211, 2), - (13, 1024, 821, 53, 18446744073709551615, 1, 212, 2), - (13, 1024, 820, 52, 18446744073709551615, 1, 213, 2), - (13, 1024, 799, 31, 18446744073709551615, 1, 234, 2), - (13, 1024, 798, 30, 18446744073709551615, 1, 235, 2), - (13, 126, 894, 1027, 18446744073709551615, 0, 1, 1), - (13, 1024, 1017, 249, 18446744073709551615, 1, 18, 2), - (13, 1024, 1016, 248, 18446744073709551615, 1, 19, 2), - (13, 1024, 1015, 247, 18446744073709551615, 1, 20, 2), - (13, 1024, 1014, 246, 18446744073709551615, 1, 21, 2), - (13, 1024, 1013, 245, 18446744073709551615, 1, 22, 2), - (13, 1024, 1012, 244, 18446744073709551615, 1, 23, 2), - (13, 1024, 1011, 243, 18446744073709551615, 1, 24, 2), - (13, 1024, 1010, 242, 18446744073709551615, 1, 25, 2), - (13, 1024, 1009, 241, 18446744073709551615, 1, 26, 2), - (13, 1024, 1008, 240, 18446744073709551615, 1, 27, 2), - (13, 1024, 1007, 239, 18446744073709551615, 1, 28, 2), - (13, 1024, 1006, 238, 18446744073709551615, 1, 29, 2), - (13, 1024, 1005, 237, 18446744073709551615, 1, 30, 2), - (13, 1024, 1004, 236, 18446744073709551615, 1, 31, 2), - (13, 1024, 1003, 235, 18446744073709551615, 1, 32, 2), - (13, 1024, 1002, 234, 18446744073709551615, 1, 33, 2), - (13, 1024, 1001, 233, 18446744073709551615, 1, 34, 2), - (13, 1024, 1000, 232, 18446744073709551615, 1, 35, 2), - (13, 1024, 999, 231, 18446744073709551615, 1, 36, 2), - (13, 1024, 998, 230, 18446744073709551615, 1, 37, 2), - (13, 1024, 997, 229, 18446744073709551615, 1, 38, 2), - (13, 1024, 996, 228, 18446744073709551615, 1, 39, 2), - (13, 1024, 995, 227, 18446744073709551615, 1, 40, 2), - (13, 1024, 994, 226, 18446744073709551615, 1, 41, 2), - (13, 1024, 993, 225, 18446744073709551615, 1, 42, 2), - (13, 1024, 992, 224, 18446744073709551615, 1, 43, 2), - (13, 1024, 991, 223, 18446744073709551615, 1, 44, 2), - (13, 1024, 990, 222, 18446744073709551615, 1, 45, 2), - (13, 1024, 989, 221, 18446744073709551615, 1, 46, 2), - (13, 1024, 988, 220, 18446744073709551615, 1, 47, 2), - (13, 1024, 987, 219, 18446744073709551615, 1, 48, 2), - (13, 1024, 986, 218, 18446744073709551615, 1, 49, 2), - (13, 1024, 985, 217, 18446744073709551615, 1, 50, 2), - (13, 1024, 984, 216, 18446744073709551615, 1, 51, 2), - (13, 1024, 983, 215, 18446744073709551615, 1, 52, 2), - (13, 1024, 982, 214, 18446744073709551615, 1, 53, 2), - (13, 1024, 981, 213, 18446744073709551615, 1, 54, 2), - (13, 1024, 980, 212, 18446744073709551615, 1, 55, 2), - (13, 1024, 979, 211, 18446744073709551615, 1, 56, 2), - (13, 1024, 978, 210, 18446744073709551615, 1, 57, 2), - (13, 1024, 977, 209, 18446744073709551615, 1, 58, 2), - (13, 1024, 976, 208, 18446744073709551615, 1, 59, 2), - (13, 1024, 975, 207, 18446744073709551615, 1, 60, 2), - (13, 1024, 974, 206, 18446744073709551615, 1, 61, 2), - (13, 1024, 973, 205, 18446744073709551615, 1, 62, 2), - (13, 1024, 972, 204, 18446744073709551615, 1, 63, 2), - (13, 1024, 971, 203, 18446744073709551615, 1, 64, 2), 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18446744073709551615, 0, 3, 1), - (13, 1028, 204, 988, 18446744073709551615, 0, 48, 2), - (14, 1028, 988, 204, 18446744073709551615, 0, 2, 1), - (13, 287, 739, 736, 18446744073709551615, 5, 6, 2), - (13, 221, 990, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 990, 221, 18446744073709551615, 0, 47, 2), - (14, 1028, 221, 990, 18446744073709551615, 0, 1, 1), - (13, 1024, 990, 221, 18446744073709551615, 0, 45, 2), - (13, 228, 217, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 217, 228, 18446744073709551615, 0, 46, 2), - (14, 1028, 228, 217, 18446744073709551615, 0, 1, 1), - (13, 991, 213, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 213, 991, 18446744073709551615, 0, 45, 2), - (14, 1028, 991, 213, 18446744073709551615, 0, 1, 1), - (13, 286, 1143, 741, 18446744073709551615, 3, 6, 2), - (13, 224, 993, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 993, 224, 18446744073709551615, 0, 44, 2), - (14, 1028, 224, 993, 18446744073709551615, 0, 1, 1), - (13, 287, 1143, 741, 18446744073709551615, 1, 6, 2), - (13, 237, 1066, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 1066, 237, 18446744073709551615, 0, 43, 2), - (14, 1028, 237, 1066, 18446744073709551615, 0, 1, 1), - (13, 286, 1136, 971, 18446744073709551615, 0, 6, 2), - (13, 994, 222, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 222, 994, 18446744073709551615, 0, 42, 2), - (14, 1028, 994, 222, 18446744073709551615, 0, 2, 1), - (13, 286, 971, 1143, 18446744073709551615, 3, 6, 2), - (13, 287, 1143, 741, 18446744073709551615, 3, 6, 2), - (13, 227, 996, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 996, 227, 18446744073709551615, 0, 41, 2), - (14, 1028, 227, 996, 18446744073709551615, 0, 1, 1), - (13, 1024, 996, 227, 18446744073709551615, 0, 39, 2), - (13, 246, 992, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 992, 246, 18446744073709551615, 0, 40, 2), - (14, 1028, 246, 992, 18446744073709551615, 0, 1, 1), - (13, 286, 1114, 1136, 18446744073709551615, 0, 6, 2), - (13, 287, 1136, 971, 18446744073709551615, 0, 6, 2), - (13, 997, 231, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 231, 997, 18446744073709551615, 0, 39, 2), - (14, 1028, 997, 231, 18446744073709551615, 0, 1, 1), - (13, 1024, 231, 997, 18446744073709551615, 0, 37, 2), - (13, 230, 999, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 999, 230, 18446744073709551615, 0, 38, 2), - (14, 1028, 230, 999, 18446744073709551615, 0, 1, 1), - (13, 1024, 999, 230, 18446744073709551615, 0, 36, 2), - (13, 252, 220, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 220, 252, 18446744073709551615, 0, 37, 2), - (14, 1028, 252, 220, 18446744073709551615, 0, 1, 1), - (13, 287, 1114, 1136, 18446744073709551615, 0, 6, 2), - (13, 1000, 240, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 240, 1000, 18446744073709551615, 0, 36, 2), - (14, 1028, 1000, 240, 18446744073709551615, 0, 2, 1), - (13, 286, 1114, 1136, 18446744073709551615, 3, 6, 2), - (13, 233, 1002, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1002, 233, 18446744073709551615, 0, 35, 2), - (14, 1028, 233, 1002, 18446744073709551615, 0, 1, 1), - (13, 1053, 1065, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 1065, 1053, 18446744073709551615, 0, 34, 2), - (14, 1028, 1053, 1065, 18446744073709551615, 0, 2, 1), - (13, 287, 160, 1114, 18446744073709551615, 0, 6, 2), - (13, 1003, 249, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 249, 1003, 18446744073709551615, 0, 33, 2), - (14, 1028, 1003, 249, 18446744073709551615, 0, 1, 1), - (13, 286, 160, 1114, 18446744073709551615, 3, 6, 2), - (13, 287, 1114, 1136, 18446744073709551615, 3, 6, 2), - (13, 236, 1005, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1005, 236, 18446744073709551615, 0, 32, 2), - (14, 1028, 236, 1005, 18446744073709551615, 0, 1, 1), - (13, 287, 1114, 1136, 18446744073709551615, 4, 6, 2), - (13, 1042, 995, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 995, 1042, 18446744073709551615, 0, 31, 2), - (14, 1028, 1042, 995, 18446744073709551615, 0, 1, 1), - (13, 286, 70, 34, 18446744073709551615, 0, 6, 2), - (13, 1006, 1047, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 1047, 1006, 18446744073709551615, 0, 30, 2), - (14, 1028, 1006, 1047, 18446744073709551615, 0, 1, 1), - (13, 287, 160, 1114, 18446744073709551615, 3, 6, 2), - (13, 239, 1008, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1008, 239, 18446744073709551615, 0, 29, 2), - (14, 1028, 239, 1008, 18446744073709551615, 0, 1, 1), - (13, 1024, 1008, 239, 18446744073709551615, 0, 27, 2), - (13, 286, 70, 34, 18446744073709551615, 1, 6, 2), - (13, 1050, 223, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 223, 1050, 18446744073709551615, 0, 28, 2), - (14, 1028, 1050, 223, 18446744073709551615, 0, 2, 1), - (13, 1009, 1051, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 1051, 1009, 18446744073709551615, 0, 27, 2), - (14, 1028, 1009, 1051, 18446744073709551615, 0, 1, 1), - (13, 286, 70, 34, 18446744073709551615, 3, 6, 2), - (13, 287, 34, 160, 18446744073709551615, 3, 6, 2), - (13, 242, 1011, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1011, 242, 18446744073709551615, 0, 26, 2), - (14, 1028, 242, 1011, 18446744073709551615, 0, 1, 1), - (13, 1024, 1011, 242, 18446744073709551615, 0, 24, 2), - (13, 286, 58, 70, 18446744073709551615, 1, 6, 2), - (13, 287, 70, 34, 18446744073709551615, 1, 6, 2), - (13, 1045, 1064, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 1064, 1045, 18446744073709551615, 0, 25, 2), - (14, 1028, 1045, 1064, 18446744073709551615, 0, 1, 1), - (13, 1024, 1064, 1045, 18446744073709551615, 0, 23, 2), - (13, 287, 58, 70, 18446744073709551615, 0, 6, 2), - (13, 1012, 1048, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 1048, 1012, 18446744073709551615, 0, 24, 2), - (14, 1028, 1012, 1048, 18446744073709551615, 0, 1, 1), - (13, 287, 70, 34, 18446744073709551615, 3, 6, 2), - (13, 245, 1014, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1014, 245, 18446744073709551615, 0, 23, 2), - (14, 1028, 245, 1014, 18446744073709551615, 0, 1, 1), - (13, 1033, 998, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 998, 1033, 18446744073709551615, 0, 22, 2), - (14, 1028, 1033, 998, 18446744073709551615, 0, 2, 1), - (13, 1024, 998, 1033, 18446744073709551615, 0, 20, 2), - (13, 287, 76, 58, 18446744073709551615, 0, 6, 2), - (13, 1015, 1046, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 1046, 1015, 18446744073709551615, 0, 21, 2), - (14, 1028, 1015, 1046, 18446744073709551615, 0, 1, 1), - (13, 1024, 1046, 1015, 18446744073709551615, 0, 19, 2), - (13, 287, 58, 70, 18446744073709551615, 3, 6, 2), - (13, 287, 70, 34, 18446744073709551615, 5, 6, 2), - (13, 248, 1017, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1017, 248, 18446744073709551615, 0, 20, 2), - (14, 1028, 248, 1017, 18446744073709551615, 0, 1, 1), - (13, 286, 85, 76, 18446744073709551615, 1, 6, 2), - (13, 287, 76, 58, 18446744073709551615, 1, 6, 2), - (13, 1037, 226, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 226, 1037, 18446744073709551615, 0, 19, 2), - (14, 1028, 1037, 226, 18446744073709551615, 0, 1, 1), - (13, 286, 94, 85, 18446744073709551615, 0, 5, 2), - (13, 1018, 1035, 1130, 18446744073709551615, 0, 3, 1), - (13, 1028, 1035, 1018, 18446744073709551615, 0, 18, 2), - (14, 1028, 1018, 1035, 18446744073709551615, 0, 2, 1), - (13, 287, 76, 58, 18446744073709551615, 3, 6, 2), - (13, 251, 1020, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1020, 251, 18446744073709551615, 0, 17, 2), - (14, 1028, 251, 1020, 18446744073709551615, 0, 1, 1), - (13, 287, 85, 76, 18446744073709551615, 1, 5, 2), - (13, 1034, 1063, 1128, 18446744073709551615, 0, 2, 1), - (13, 1028, 1063, 1034, 18446744073709551615, 0, 16, 2), - (14, 1028, 1034, 1063, 18446744073709551615, 0, 1, 1), - (13, 286, 103, 94, 18446744073709551615, 0, 3, 2), - (13, 1021, 1043, 1130, 18446744073709551615, 0, 2, 1), - (13, 1028, 1043, 1021, 18446744073709551615, 0, 15, 2), - (14, 1028, 1021, 1043, 18446744073709551615, 0, 1, 1), - (13, 287, 85, 76, 18446744073709551615, 3, 5, 2), - (13, 254, 1023, 1126, 18446744073709551615, 0, 1, 1), - (13, 1028, 1023, 254, 18446744073709551615, 0, 14, 2), - (14, 1028, 254, 1023, 18446744073709551615, 0, 1, 1), - (13, 1024, 1023, 254, 18446744073709551615, 0, 12, 2), - (13, 286, 103, 94, 18446744073709551615, 1, 3, 2), - (13, 1031, 229, 1128, 18446744073709551615, 0, 1, 1), - (13, 1028, 229, 1031, 18446744073709551615, 0, 13, 2), - (14, 1028, 1031, 229, 18446744073709551615, 0, 1, 1), - (13, 1049, 1038, 1130, 18446744073709551615, 0, 1, 1), - (13, 1028, 1038, 1049, 18446744073709551615, 0, 12, 2), - (14, 1028, 1049, 1038, 18446744073709551615, 0, 11, 1), - (13, 1024, 1038, 1049, 18446744073709551615, 0, 10, 2), - (13, 287, 120, 103, 18446744073709551615, 0, 1, 2), - (13, 1028, 22, 232, 18446744073709551615, 0, 1, 2), - (14, 1028, 1049, 1038, 18446744073709551615, 1, 11, 2), - (13, 286, 912, 141, 18446744073709551615, 0, 1, 2), - (13, 287, 137, 124, 18446744073709551615, 0, 1, 2), - (14, 1028, 1049, 1038, 18446744073709551615, 2, 11, 2), - (13, 287, 180, 1083, 18446744073709551615, 0, 2, 2), - (13, 287, 1083, 912, 18446744073709551615, 0, 1, 2), - (13, 286, 198, 189, 18446744073709551615, 0, 1, 2), - (13, 286, 172, 243, 18446744073709551615, 0, 2, 2), - (13, 287, 243, 234, 18446744073709551615, 0, 2, 2), - (13, 286, 1030, 1039, 18446744073709551615, 0, 1, 2), - (13, 287, 1039, 1041, 18446744073709551615, 0, 1, 2), - (13, 276, 1013, 1062, 18446744073709551615, 0, 3, 2), - (13, 278, 238, 232, 18446744073709551615, 0, 3, 2), - (13, 281, 1007, 235, 18446744073709551615, 0, 3, 2), - (13, 282, 235, 1061, 18446744073709551615, 0, 3, 2), - (13, 299, 216, 207, 18446744073709551615, 0, 3, 2), - (13, 301, 198, 189, 18446744073709551615, 0, 3, 2), - (13, 306, 912, 141, 18446744073709551615, 0, 3, 1), - (13, 303, 1083, 912, 18446744073709551615, 0, 3, 1), - (13, 304, 912, 141, 18446744073709551615, 1, 6, 1), - (13, 286, 765, 1027, 18446744073709551615, 1, 3, 2), - (13, 287, 1027, 1030, 18446744073709551615, 1, 3, 2), - (13, 286, 765, 1027, 18446744073709551615, 2, 3, 2), - (13, 306, 912, 141, 18446744073709551615, 2, 3, 1), - (13, 287, 996, 222, 18446744073709551615, 0, 1, 2), -]; +// Auto-generated identity-keyed deep strip (do not edit by hand). +// Key = (kind, q_control2, q_control1, q_target, c_condition, ordinal, tuple_occupancy). +// ordinal = k-th occurrence of that exact CCX/CCZ operand tuple in stream order; +// tuple_occupancy = how many times that tuple occurred in the censused stream. +// +// Census: 320000000 random on-curve secp256k1 input pairs (census3, fixed-base comb + +// Montgomery batch inversion, verified bit-identical to curve.mul) against a +// bit-parallel reimplementation of src/sim.rs, SUB4_APPLY_STRIP=0: +// 9073163 ops / 1361613 CCX+CCZ. +pub static DEAD_KEYS: &[(u8, u64, u64, u64, u64, u32, u32)] = &[ + (13, 55, 823, 1080, 18446744073709551615, 0, 1), + (13, 56, 824, 1081, 18446744073709551615, 0, 1), + (13, 57, 825, 1082, 18446744073709551615, 0, 1), + (13, 58, 826, 1083, 18446744073709551615, 0, 2), + (13, 59, 827, 1084, 18446744073709551615, 0, 2), + (13, 60, 828, 1085, 18446744073709551615, 0, 3), + (13, 61, 829, 1086, 18446744073709551615, 0, 5), + (13, 62, 830, 1087, 18446744073709551615, 0, 6), + (13, 63, 831, 1088, 18446744073709551615, 0, 6), + (13, 64, 832, 1089, 18446744073709551615, 0, 6), + (13, 65, 833, 1090, 18446744073709551615, 0, 6), + (13, 66, 834, 1091, 18446744073709551615, 0, 7), + (13, 67, 835, 1092, 18446744073709551615, 0, 6), + (13, 68, 836, 1093, 18446744073709551615, 0, 7), + (13, 69, 837, 1094, 18446744073709551615, 0, 8), + (13, 70, 838, 1095, 18446744073709551615, 0, 12), + (13, 71, 839, 1096, 18446744073709551615, 0, 12), + (13, 72, 840, 1097, 18446744073709551615, 0, 12), + (13, 73, 841, 1098, 18446744073709551615, 0, 8), + (13, 74, 842, 1099, 18446744073709551615, 0, 9), + (13, 75, 843, 1100, 18446744073709551615, 0, 9), + (13, 76, 844, 1101, 18446744073709551615, 0, 9), + (13, 77, 845, 1102, 18446744073709551615, 0, 9), + (13, 78, 846, 1103, 18446744073709551615, 0, 9), + (13, 79, 847, 1104, 18446744073709551615, 0, 10), + (13, 80, 848, 1105, 18446744073709551615, 0, 11), + (13, 81, 849, 1106, 18446744073709551615, 0, 11), + (13, 82, 850, 1107, 18446744073709551615, 0, 11), + (13, 83, 851, 1108, 18446744073709551615, 0, 11), + (13, 84, 852, 1109, 18446744073709551615, 0, 11), + (13, 85, 853, 1110, 18446744073709551615, 0, 11), + (13, 86, 854, 1111, 18446744073709551615, 0, 11), + (13, 87, 855, 1112, 18446744073709551615, 0, 11), + (13, 88, 856, 1113, 18446744073709551615, 0, 11), + (13, 89, 857, 1114, 18446744073709551615, 0, 11), + (13, 90, 858, 1115, 18446744073709551615, 0, 11), + (13, 91, 859, 1116, 18446744073709551615, 0, 11), + (13, 92, 860, 1117, 18446744073709551615, 0, 11), + (13, 93, 861, 1118, 18446744073709551615, 0, 11), + (13, 94, 862, 1119, 18446744073709551615, 0, 10), + (13, 95, 863, 1120, 18446744073709551615, 0, 9), + (13, 96, 864, 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1), + (13, 258, 1030, 1039, 18446744073709551615, 0, 2), + (13, 259, 1039, 1041, 18446744073709551615, 1, 3), + (13, 1028, 1128, 1043, 18446744073709551615, 0, 1), + (13, 257, 1027, 1036, 18446744073709551615, 0, 1), + (13, 258, 1036, 1030, 18446744073709551615, 0, 1), + (13, 259, 1030, 1039, 18446744073709551615, 0, 2), + (13, 1028, 1130, 1023, 18446744073709551615, 0, 1), + (13, 257, 1027, 1030, 18446744073709551615, 0, 1), + (13, 258, 1030, 1039, 18446744073709551615, 1, 2), + (13, 259, 1039, 1041, 18446744073709551615, 2, 3), + (13, 1028, 1126, 229, 18446744073709551615, 0, 1), + (13, 257, 765, 1027, 18446744073709551615, 0, 1), + (13, 258, 1027, 1030, 18446744073709551615, 0, 1), + (13, 259, 1030, 1039, 18446744073709551615, 1, 2), + (13, 1028, 1128, 1038, 18446744073709551615, 0, 1), + (13, 257, 1032, 765, 18446744073709551615, 0, 1), + (13, 258, 765, 1027, 18446744073709551615, 0, 1), + (13, 259, 1027, 1030, 18446744073709551615, 0, 1), + (13, 1028, 1130, 1062, 18446744073709551615, 0, 1), + (13, 257, 1036, 1032, 18446744073709551615, 0, 1), + (13, 258, 1032, 765, 18446744073709551615, 0, 1), + (13, 259, 765, 1027, 18446744073709551615, 0, 1), + (13, 257, 1007, 235, 18446744073709551615, 0, 1), + (13, 258, 235, 1061, 18446744073709551615, 0, 1), + (13, 259, 1061, 1036, 18446744073709551615, 0, 1), + (13, 257, 238, 232, 18446744073709551615, 0, 1), + (13, 258, 232, 1060, 18446744073709551615, 0, 1), + (13, 259, 1060, 1007, 18446744073709551615, 0, 1), + (13, 257, 1062, 238, 18446744073709551615, 0, 1), + (13, 258, 238, 232, 18446744073709551615, 0, 1), + (13, 259, 232, 1060, 18446744073709551615, 0, 1), + (13, 257, 241, 1058, 18446744073709551615, 0, 1), + (13, 258, 1058, 1013, 18446744073709551615, 0, 1), + (13, 259, 1013, 1062, 18446744073709551615, 0, 1), + (13, 257, 1057, 1059, 18446744073709551615, 0, 1), + (13, 258, 1059, 1016, 18446744073709551615, 0, 1), + (13, 259, 1016, 241, 18446744073709551615, 0, 1), + (13, 257, 1010, 1057, 18446744073709551615, 0, 1), + (13, 258, 1057, 1059, 18446744073709551615, 0, 1), + (13, 259, 1059, 1016, 18446744073709551615, 0, 1), + (13, 257, 1056, 1022, 18446744073709551615, 0, 1), + (13, 258, 1022, 247, 18446744073709551615, 0, 1), + (13, 259, 247, 1010, 18446744073709551615, 0, 1), + (13, 257, 1054, 1019, 18446744073709551615, 0, 1), + (13, 258, 1019, 250, 18446744073709551615, 0, 1), + (13, 259, 250, 1056, 18446744073709551615, 0, 1), + (13, 277, 1062, 238, 18446744073709551615, 0, 3), + (13, 278, 238, 232, 18446744073709551615, 0, 3), + (13, 281, 1007, 235, 18446744073709551615, 0, 3), + (13, 282, 235, 1061, 18446744073709551615, 0, 3), + (13, 284, 1036, 1032, 18446744073709551615, 0, 3), + (13, 285, 1032, 765, 18446744073709551615, 0, 3), + (13, 286, 765, 1027, 18446744073709551615, 0, 3), + (13, 287, 1027, 1030, 18446744073709551615, 0, 3), + (13, 299, 216, 207, 18446744073709551615, 0, 3), + (13, 300, 207, 198, 18446744073709551615, 0, 3), + (13, 302, 189, 180, 18446744073709551615, 0, 3), + (13, 305, 141, 1083, 18446744073709551615, 0, 3), + (13, 306, 1083, 141, 18446744073709551615, 0, 3), + (13, 307, 141, 912, 18446744073709551615, 0, 3), + (13, 0, 256, 1025, 18446744073709551615, 246, 248), + (13, 257, 1025, 766, 18446744073709551615, 1, 3), + (13, 258, 766, 1055, 18446744073709551615, 1, 3), + (13, 259, 1055, 1024, 18446744073709551615, 1, 3), + (13, 287, 1027, 1030, 18446744073709551615, 1, 3), + (13, 0, 256, 1025, 18446744073709551615, 247, 248), + (13, 257, 1025, 766, 18446744073709551615, 2, 3), + (13, 258, 766, 1055, 18446744073709551615, 2, 3), + (13, 259, 1055, 1024, 18446744073709551615, 2, 3), + (13, 287, 1027, 1030, 18446744073709551615, 2, 3), +]; + +// act==1: q_control1 redundant (q_control2 survives); act==2: q_control2 redundant. +pub static DOWNGRADE_KEYS: &[(u8, u64, u64, u64, u64, u32, u32, u8)] = &[ + (13, 1, 769, 768, 18446744073709551615, 0, 225, 1), + (13, 1024, 893, 125, 18446744073709551615, 1, 140, 2), + (13, 1024, 892, 124, 18446744073709551615, 1, 141, 2), + (13, 1024, 891, 123, 18446744073709551615, 1, 143, 2), + (13, 1024, 890, 122, 18446744073709551615, 1, 144, 2), + (13, 1024, 889, 121, 18446744073709551615, 1, 145, 2), + (13, 1024, 888, 120, 18446744073709551615, 1, 145, 2), + (13, 1024, 887, 119, 18446744073709551615, 1, 147, 2), + (13, 1024, 886, 118, 18446744073709551615, 1, 147, 2), + (13, 1024, 885, 117, 18446744073709551615, 1, 148, 2), + (13, 1024, 884, 116, 18446744073709551615, 1, 149, 2), + (13, 1024, 883, 115, 18446744073709551615, 1, 150, 2), + (13, 1024, 882, 114, 18446744073709551615, 1, 151, 2), + (13, 1024, 881, 113, 18446744073709551615, 1, 152, 2), + (13, 1024, 880, 112, 18446744073709551615, 1, 153, 2), + (13, 1024, 879, 111, 18446744073709551615, 1, 154, 2), + (13, 1024, 878, 110, 18446744073709551615, 1, 155, 2), + (13, 1024, 877, 109, 18446744073709551615, 1, 156, 2), + (13, 1024, 876, 108, 18446744073709551615, 1, 157, 2), + (13, 1024, 875, 107, 18446744073709551615, 1, 158, 2), + (13, 1024, 874, 106, 18446744073709551615, 1, 159, 2), + (13, 1024, 873, 105, 18446744073709551615, 1, 160, 2), + (13, 1024, 872, 104, 18446744073709551615, 1, 161, 2), + (13, 1024, 871, 103, 18446744073709551615, 1, 162, 2), + (13, 1024, 870, 102, 18446744073709551615, 1, 163, 2), + (13, 1024, 869, 101, 18446744073709551615, 1, 164, 2), + (13, 1024, 868, 100, 18446744073709551615, 1, 165, 2), + (13, 1024, 867, 99, 18446744073709551615, 1, 166, 2), + (13, 1024, 866, 98, 18446744073709551615, 1, 167, 2), + (13, 1024, 865, 97, 18446744073709551615, 1, 168, 2), + (13, 1024, 864, 96, 18446744073709551615, 1, 169, 2), + (13, 1024, 863, 95, 18446744073709551615, 1, 170, 2), + (13, 1024, 862, 94, 18446744073709551615, 1, 171, 2), + (13, 1024, 861, 93, 18446744073709551615, 1, 172, 2), + (13, 1024, 860, 92, 18446744073709551615, 1, 173, 2), + (13, 1024, 859, 91, 18446744073709551615, 1, 174, 2), + (13, 1024, 858, 90, 18446744073709551615, 1, 175, 2), + (13, 1024, 857, 89, 18446744073709551615, 1, 176, 2), + (13, 1024, 856, 88, 18446744073709551615, 1, 177, 2), + (13, 1024, 855, 87, 18446744073709551615, 1, 178, 2), + (13, 1024, 854, 86, 18446744073709551615, 1, 179, 2), + (13, 1024, 853, 85, 18446744073709551615, 1, 180, 2), + (13, 1024, 852, 84, 18446744073709551615, 1, 181, 2), + (13, 1024, 851, 83, 18446744073709551615, 1, 182, 2), + (13, 1024, 850, 82, 18446744073709551615, 1, 183, 2), + (13, 1024, 849, 81, 18446744073709551615, 1, 184, 2), + (13, 1024, 848, 80, 18446744073709551615, 1, 185, 2), + (13, 1024, 847, 79, 18446744073709551615, 1, 186, 2), + (13, 1024, 846, 78, 18446744073709551615, 1, 187, 2), + (13, 1024, 845, 77, 18446744073709551615, 1, 188, 2), + (13, 1024, 844, 76, 18446744073709551615, 1, 189, 2), + (13, 1024, 843, 75, 18446744073709551615, 1, 190, 2), + (13, 1024, 842, 74, 18446744073709551615, 1, 191, 2), + (13, 1024, 841, 73, 18446744073709551615, 1, 192, 2), + (13, 1024, 840, 72, 18446744073709551615, 1, 193, 2), + (13, 1024, 839, 71, 18446744073709551615, 1, 194, 2), + (13, 1024, 838, 70, 18446744073709551615, 1, 195, 2), + (13, 1024, 837, 69, 18446744073709551615, 1, 391, 2), + (13, 1024, 836, 68, 18446744073709551615, 1, 197, 2), + (13, 1024, 835, 67, 18446744073709551615, 1, 198, 2), + (13, 1024, 834, 66, 18446744073709551615, 1, 397, 2), + (13, 1024, 833, 65, 18446744073709551615, 1, 200, 2), + (13, 1024, 832, 64, 18446744073709551615, 1, 201, 2), + (13, 1024, 831, 63, 18446744073709551615, 1, 202, 2), + (13, 1024, 830, 62, 18446744073709551615, 1, 203, 2), + (13, 1024, 829, 61, 18446744073709551615, 1, 204, 2), + (13, 1024, 828, 60, 18446744073709551615, 1, 205, 2), + (13, 1024, 827, 59, 18446744073709551615, 1, 206, 2), + (13, 1024, 826, 58, 18446744073709551615, 1, 207, 2), + (13, 1024, 825, 57, 18446744073709551615, 1, 208, 2), + (13, 1024, 824, 56, 18446744073709551615, 1, 209, 2), + (13, 1024, 823, 55, 18446744073709551615, 1, 210, 2), + (13, 1024, 822, 54, 18446744073709551615, 1, 211, 2), + (13, 1024, 799, 31, 18446744073709551615, 1, 234, 2), + (13, 126, 894, 1027, 18446744073709551615, 0, 1, 1), + (13, 1024, 1017, 249, 18446744073709551615, 1, 18, 2), + (13, 1024, 1016, 248, 18446744073709551615, 1, 19, 2), + (13, 1024, 1015, 247, 18446744073709551615, 1, 20, 2), + (13, 1024, 1014, 246, 18446744073709551615, 1, 21, 2), + (13, 1024, 1013, 245, 18446744073709551615, 1, 22, 2), + (13, 1024, 1012, 244, 18446744073709551615, 1, 23, 2), + (13, 1024, 1011, 243, 18446744073709551615, 1, 24, 2), + (13, 1024, 1010, 242, 18446744073709551615, 1, 25, 2), + (13, 1024, 1009, 241, 18446744073709551615, 1, 26, 2), + (13, 1024, 1008, 240, 18446744073709551615, 1, 27, 2), + (13, 1024, 1007, 239, 18446744073709551615, 1, 28, 2), + (13, 1024, 1006, 238, 18446744073709551615, 1, 29, 2), + (13, 1024, 1005, 237, 18446744073709551615, 1, 30, 2), + (13, 1024, 1004, 236, 18446744073709551615, 1, 31, 2), + (13, 1024, 1003, 235, 18446744073709551615, 1, 32, 2), + (13, 1024, 1002, 234, 18446744073709551615, 1, 33, 2), + (13, 1024, 1001, 233, 18446744073709551615, 1, 34, 2), + (13, 1024, 1000, 232, 18446744073709551615, 1, 35, 2), + (13, 1024, 999, 231, 18446744073709551615, 1, 36, 2), + (13, 1024, 998, 230, 18446744073709551615, 1, 37, 2), + (13, 1024, 997, 229, 18446744073709551615, 1, 38, 2), + (13, 1024, 996, 228, 18446744073709551615, 1, 39, 2), + (13, 1024, 995, 227, 18446744073709551615, 1, 40, 2), + (13, 1024, 994, 226, 18446744073709551615, 1, 41, 2), + (13, 1024, 993, 225, 18446744073709551615, 1, 42, 2), + (13, 1024, 992, 224, 18446744073709551615, 1, 43, 2), + (13, 1024, 991, 223, 18446744073709551615, 1, 44, 2), + (13, 1024, 990, 222, 18446744073709551615, 1, 45, 2), + (13, 1024, 989, 221, 18446744073709551615, 1, 46, 2), + (13, 1024, 988, 220, 18446744073709551615, 1, 47, 2), + (13, 1024, 987, 219, 18446744073709551615, 1, 48, 2), + (13, 1024, 986, 218, 18446744073709551615, 1, 49, 2), + (13, 1024, 985, 217, 18446744073709551615, 1, 50, 2), + (13, 1024, 984, 216, 18446744073709551615, 1, 51, 2), + (13, 1024, 983, 215, 18446744073709551615, 1, 52, 2), + (13, 1024, 982, 214, 18446744073709551615, 1, 53, 2), + (13, 1024, 981, 213, 18446744073709551615, 1, 54, 2), + (13, 1024, 980, 212, 18446744073709551615, 1, 55, 2), + (13, 1024, 979, 211, 18446744073709551615, 1, 56, 2), + (13, 1024, 978, 210, 18446744073709551615, 1, 57, 2), + (13, 1024, 977, 209, 18446744073709551615, 1, 58, 2), + (13, 1024, 976, 208, 18446744073709551615, 1, 59, 2), + (13, 1024, 975, 207, 18446744073709551615, 1, 60, 2), + (13, 1024, 974, 206, 18446744073709551615, 1, 61, 2), + (13, 1024, 973, 205, 18446744073709551615, 1, 62, 2), + (13, 1024, 972, 204, 18446744073709551615, 1, 63, 2), + (13, 1024, 971, 203, 18446744073709551615, 1, 64, 2), + (13, 1024, 970, 202, 18446744073709551615, 1, 65, 2), + (13, 1024, 969, 201, 18446744073709551615, 1, 66, 2), + (13, 1024, 968, 200, 18446744073709551615, 1, 67, 2), + (13, 1024, 967, 199, 18446744073709551615, 1, 68, 2), + (13, 1024, 966, 198, 18446744073709551615, 1, 69, 2), + (13, 1024, 965, 197, 18446744073709551615, 1, 70, 2), + (13, 1024, 964, 196, 18446744073709551615, 1, 71, 2), + (13, 1024, 963, 195, 18446744073709551615, 1, 72, 2), + (13, 1024, 962, 194, 18446744073709551615, 1, 73, 2), + (13, 1024, 961, 193, 18446744073709551615, 1, 74, 2), + (13, 1024, 960, 192, 18446744073709551615, 1, 75, 2), + (13, 1024, 959, 191, 18446744073709551615, 1, 76, 2), + (13, 1024, 958, 190, 18446744073709551615, 1, 77, 2), + (13, 1024, 957, 189, 18446744073709551615, 1, 78, 2), + (13, 1024, 956, 188, 18446744073709551615, 1, 79, 2), + (13, 1024, 955, 187, 18446744073709551615, 1, 80, 2), + (13, 1024, 954, 186, 18446744073709551615, 1, 81, 2), + (13, 1024, 953, 185, 18446744073709551615, 1, 82, 2), + (13, 1024, 952, 184, 18446744073709551615, 1, 83, 2), + (13, 1024, 951, 183, 18446744073709551615, 1, 84, 2), + (13, 1024, 950, 182, 18446744073709551615, 1, 85, 2), + (13, 1024, 949, 181, 18446744073709551615, 1, 86, 2), + (13, 1024, 948, 180, 18446744073709551615, 1, 87, 2), + (13, 1024, 947, 179, 18446744073709551615, 1, 88, 2), + (13, 1024, 946, 178, 18446744073709551615, 1, 89, 2), + (13, 1024, 945, 177, 18446744073709551615, 1, 90, 2), + (13, 1024, 944, 176, 18446744073709551615, 1, 91, 2), + (13, 1024, 943, 175, 18446744073709551615, 1, 92, 2), + (13, 1024, 942, 174, 18446744073709551615, 1, 93, 2), + (13, 1024, 941, 173, 18446744073709551615, 1, 94, 2), + (13, 1024, 940, 172, 18446744073709551615, 1, 96, 2), + (13, 1024, 939, 171, 18446744073709551615, 1, 97, 2), + (13, 1024, 938, 170, 18446744073709551615, 1, 97, 2), + (13, 1024, 937, 169, 18446744073709551615, 1, 98, 2), + (13, 1024, 936, 168, 18446744073709551615, 1, 99, 2), + (13, 1024, 935, 167, 18446744073709551615, 1, 100, 2), + (13, 1024, 934, 166, 18446744073709551615, 1, 101, 2), + (13, 1024, 933, 165, 18446744073709551615, 1, 102, 2), + (13, 1024, 932, 164, 18446744073709551615, 1, 102, 2), + (13, 1024, 931, 163, 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+ (14, 1028, 245, 1014, 18446744073709551615, 0, 1, 1), + (13, 1033, 998, 1128, 18446744073709551615, 0, 2, 1), + (14, 1028, 1033, 998, 18446744073709551615, 0, 2, 1), + (13, 1015, 1046, 1130, 18446744073709551615, 0, 3, 1), + (14, 1028, 1015, 1046, 18446744073709551615, 0, 1, 1), + (13, 248, 1017, 1126, 18446744073709551615, 0, 1, 1), + (13, 1028, 1017, 248, 18446744073709551615, 0, 20, 2), + (14, 1028, 248, 1017, 18446744073709551615, 0, 1, 1), + (13, 1037, 226, 1128, 18446744073709551615, 0, 2, 1), + (14, 1028, 1037, 226, 18446744073709551615, 0, 1, 1), + (13, 1018, 1035, 1130, 18446744073709551615, 0, 3, 1), + (14, 1028, 1018, 1035, 18446744073709551615, 0, 2, 1), + (13, 251, 1020, 1126, 18446744073709551615, 0, 1, 1), + (13, 1028, 1020, 251, 18446744073709551615, 0, 17, 2), + (14, 1028, 251, 1020, 18446744073709551615, 0, 1, 1), + (13, 1034, 1063, 1128, 18446744073709551615, 0, 2, 1), + (14, 1028, 1034, 1063, 18446744073709551615, 0, 1, 1), + (13, 1021, 1043, 1130, 18446744073709551615, 0, 2, 1), + (14, 1028, 1021, 1043, 18446744073709551615, 0, 1, 1), + (13, 254, 1023, 1126, 18446744073709551615, 0, 1, 1), + (14, 1028, 254, 1023, 18446744073709551615, 0, 1, 1), + (13, 1031, 229, 1128, 18446744073709551615, 0, 1, 1), + (14, 1028, 1031, 229, 18446744073709551615, 0, 1, 1), + (13, 1049, 1038, 1130, 18446744073709551615, 0, 1, 1), + (13, 1028, 1038, 1049, 18446744073709551615, 0, 12, 2), + (14, 1028, 1049, 1038, 18446744073709551615, 0, 11, 1), + (13, 287, 1039, 1041, 18446744073709551615, 0, 1, 2), + (13, 279, 232, 1060, 18446744073709551615, 0, 3, 2), + (13, 280, 1060, 1007, 18446744073709551615, 0, 3, 2), + (13, 283, 1061, 1036, 18446744073709551615, 0, 3, 2), + (13, 301, 198, 189, 18446744073709551615, 0, 3, 2), + (13, 303, 180, 912, 18446744073709551615, 0, 3, 2), + (13, 304, 912, 141, 18446744073709551615, 0, 6, 2), + (13, 306, 912, 141, 18446744073709551615, 0, 3, 1), + (13, 303, 1083, 912, 18446744073709551615, 0, 3, 1), + (13, 304, 912, 141, 18446744073709551615, 1, 6, 1), + (13, 286, 765, 1027, 18446744073709551615, 2, 3, 2), +]; diff --git a/src/point_add/dialog_gcd_classical_filter.rs b/src/point_add/dialog_gcd_classical_filter.rs new file mode 100644 index 00000000..27c9cfc9 --- /dev/null +++ b/src/point_add/dialog_gcd_classical_filter.rs @@ -0,0 +1,2181 @@ +//! Classical convergence pre-filter for dialog-GCD Fiat-Shamir island search. +//! +//! Per tail-nonce, derives the 9024 Fiat-Shamir point-add inputs and classically +//! replays the truncated binary-GCD transcript on both inversion factors: +//! - `dx = Px - Qx (mod p)` (quotient / pair-1) +//! - `c = Qx - Rx (mod p)` (ipmul / pair-2), with `Rx` the expected sum x. +//! +//! A factor is **hard** if any step hits: +//! - width envelope overflow (`bitlen(u|v) > active_width(step)`), +//! - truncated branch-comparator mis-decision vs the full active window, +//! - or the full-width K2 transcript needs more than `ACTIVE_ITERATIONS` steps. +//! +//! This is analysis-only tooling; it does not change the quantum circuit. + +use crate::point_add::{ + dialog_gcd_k5_head11_supports, dialog_gcd_k5_tail3_top32_supports, + dialog_gcd_k5_tail6_graph9_supports, + DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT, DIALOG_GCD_K5_TAIL7_SUPPORT, + DIALOG_GCD_PA9024_COMPARE_SCHEDULE, N, SECP256K1_P, +}; +use alloy_primitives::U256; +use ruint::Uint; + +const MAX_GCD_ITERS: usize = 402; +type U512 = Uint<512, 8>; + +/// Why a GCD factor failed the classical filter. +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub enum HardReason { + WidthOverflow { step: usize }, + BodyTrimMismatch { step: usize, active_width: usize, body_width: usize }, + ComparatorMismatch { step: usize }, + NonConvergence { steps_needed: usize }, + HeadPairMismatch { pattern: u8 }, + HeadK5Mismatch { pattern: u16 }, + TailPairMismatch { pattern: u8 }, + TailPairCrossMismatch { pattern: u16 }, + Tail6GraphMismatch { pattern: u32 }, + Tail6Graph9Mismatch { pattern: u32 }, + Tail7Mismatch { pattern: u32 }, + Tail3FixedLastMismatch { digit: u8 }, + Tail3Top32Mismatch { pattern: u16 }, + OddTailTripleMismatch { s2_mask: u8 }, + FusedFoldCarryEscape { step: usize, reverse: bool }, + SpecialFoldCarryEscape { step: usize, reverse: bool }, + ApplyValueMismatch { + reverse: bool, + compare_step: Option, + full_width_step: Option, + }, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct DialogGcdStepLog { + pub b0: bool, + pub b0_and_b1: bool, + pub s2: bool, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct ApplyCleanupMismatch { + pub step: usize, + pub reverse: bool, + pub bits: usize, + pub required_bits: usize, +} + +#[derive(Clone, Debug, Default, Eq, PartialEq)] +pub struct ApplyHazardSummary { + /// HMR cleanup predicates that disagree with the truncated comparator. + /// + /// These are soft risks, not deterministic failures: the verifier's seeded + /// measurement result can still cancel the phase, as it does for promoted + /// nonce 17761178. + pub cleanup_mismatches: usize, + pub cleanup_mismatch_details: Vec, +} + +fn widen_u256(value: U256) -> U512 { + let limbs = value.as_limbs(); + U512::from_limbs([ + limbs[0], limbs[1], limbs[2], limbs[3], 0, 0, 0, 0, + ]) +} + +fn low_mask_512(bits: usize) -> U512 { + if bits == 0 { + U512::ZERO + } else if bits >= 512 { + U512::MAX + } else { + (U512::from(1u64) << bits) - U512::from(1u64) + } +} + +fn extract_512(value: U512, start: usize, bits: usize) -> U512 { + (value >> start) & low_mask_512(bits) +} + +fn square_row_value(x: U256, x_wide: U512, row: usize) -> U512 { + if !bit_at(x, row) { + return U512::ZERO; + } + let high = x_wide & !low_mask_512(row + 1); + (high << (row + 1)) | (U512::from(1u64) << (2 * row)) +} + +/// Count truncated boundary-carry cleanup disagreements in the segmented +/// schoolbook square, forward plus inverse, for one 256-bit input. +/// +/// The square value itself is exact. A disagreement means the measured cleanup +/// replay omitted a real carry/borrow into the retained high suffix, so it is a +/// soft phase-risk event rather than a deterministic value failure. +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SquareCleanupMismatch { + pub row: usize, + pub window: usize, + pub reverse: bool, + pub bits: usize, + pub required_bits: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SquareCleanupSiteBits { + pub row: usize, + pub window: usize, + pub reverse: bool, + pub bits: usize, +} + +#[derive(Clone, Debug, Default, Eq, PartialEq)] +pub struct SquareCleanupSummary { + pub mismatches: usize, + pub details: Vec, +} + +fn square_cleanup_bits( + clean_compare_bits: usize, + row_clean_compare_bits: &[(usize, usize)], + site_clean_compare_bits: &[SquareCleanupSiteBits], + row: usize, + window: usize, + reverse: bool, +) -> usize { + site_clean_compare_bits + .iter() + .rev() + .find_map(|site| { + (site.row == row && site.window == window && site.reverse == reverse) + .then_some(site.bits) + }) + .or_else(|| step_map_override(row_clean_compare_bits, row)) + .unwrap_or(clean_compare_bits) +} + +pub fn square_row_window_cleanup_summary( + x: U256, + max_seg: usize, + clean_compare_bits: usize, + row_clean_compare_bits: &[(usize, usize)], + site_clean_compare_bits: &[SquareCleanupSiteBits], +) -> SquareCleanupSummary { + if max_seg == 0 { + return SquareCleanupSummary::default(); + } + + let x_wide = widen_u256(x); + let mut tmp = U512::ZERO; + let mut summary = SquareCleanupSummary::default(); + + for row in 0..N { + let width = if row == N - 1 { 1 } else { N - row + 1 }; + let row_value = square_row_value(x, x_wide, row); + if width > max_seg { + let windows = width.div_ceil(max_seg).max(1).min(width); + let mut carry_in = false; + for window in 0..windows { + let lo = (window * width) / windows; + let hi = ((window + 1) * width) / windows; + if hi == lo { + continue; + } + let bits = hi - lo; + let mask = low_mask_512(bits); + let offset = 2 * row + lo; + let acc = extract_512(tmp, offset, bits); + let seg = extract_512(row_value, offset, bits); + let total = acc + seg + U512::from(carry_in as u64); + let sum = total & mask; + let carry_out = total > mask; + if window + 1 < windows { + let row_bits = square_cleanup_bits( + clean_compare_bits, + row_clean_compare_bits, + site_clean_compare_bits, + row, + window, + false, + ); + let trunc = if row_bits == 0 { + bits + } else { + row_bits.min(bits) + }; + if trunc < bits { + let suffix_shift = bits - trunc; + let sum_suffix = extract_512(sum, suffix_shift, trunc); + let seg_suffix = extract_512(seg, suffix_shift, trunc); + let replay = sum_suffix < seg_suffix; + let mismatch = replay != carry_out; + summary.mismatches += usize::from(mismatch); + if mismatch { + let required_bits = ((trunc + 1)..=bits) + .find(|&candidate_bits| { + let shift = bits - candidate_bits; + let candidate_sum = + extract_512(sum, shift, candidate_bits); + let candidate_seg = + extract_512(seg, shift, candidate_bits); + (candidate_sum < candidate_seg) == carry_out + }) + .unwrap_or(bits); + summary.details.push(SquareCleanupMismatch { + row, + window, + reverse: false, + bits: trunc, + required_bits, + }); + } + if mismatch && std::env::var_os("ISLAND_TRACE_REJECT").is_some() { + eprintln!( + "SQUARE_PHASE_RISK row={row} window={window} reverse=false bits={trunc} required_bits={}", + summary.details.last().expect("mismatch detail").required_bits, + ); + } + } + } + carry_in = carry_out; + } + } + tmp += row_value; + } + + for row in (0..N).rev() { + let width = if row == N - 1 { 1 } else { N - row + 1 }; + let row_value = square_row_value(x, x_wide, row); + if width > max_seg { + let windows = width.div_ceil(max_seg).max(1).min(width); + let mut borrow_in = false; + for window in 0..windows { + let lo = (window * width) / windows; + let hi = ((window + 1) * width) / windows; + if hi == lo { + continue; + } + let bits = hi - lo; + let offset = 2 * row + lo; + let acc = extract_512(tmp, offset, bits); + let seg = extract_512(row_value, offset, bits); + let subtrahend = seg + U512::from(borrow_in as u64); + let borrow_out = acc < subtrahend; + let diff = if borrow_out { + (acc + (U512::from(1u64) << bits)) - subtrahend + } else { + acc - subtrahend + }; + if window + 1 < windows { + let row_bits = square_cleanup_bits( + clean_compare_bits, + row_clean_compare_bits, + site_clean_compare_bits, + row, + window, + true, + ); + let trunc = if row_bits == 0 { + bits + } else { + row_bits.min(bits) + }; + if trunc < bits { + let suffix_shift = bits - trunc; + let diff_suffix = extract_512(diff, suffix_shift, trunc); + let seg_suffix = extract_512(seg, suffix_shift, trunc); + let not_seg_suffix = low_mask_512(trunc) ^ seg_suffix; + let replay = not_seg_suffix < diff_suffix; + let mismatch = replay != borrow_out; + summary.mismatches += usize::from(mismatch); + if mismatch { + let required_bits = ((trunc + 1)..=bits) + .find(|&candidate_bits| { + let shift = bits - candidate_bits; + let candidate_diff = + extract_512(diff, shift, candidate_bits); + let candidate_seg = + extract_512(seg, shift, candidate_bits); + let candidate_not_seg = + low_mask_512(candidate_bits) ^ candidate_seg; + (candidate_not_seg < candidate_diff) == borrow_out + }) + .unwrap_or(bits); + summary.details.push(SquareCleanupMismatch { + row, + window, + reverse: true, + bits: trunc, + required_bits, + }); + } + if mismatch && std::env::var_os("ISLAND_TRACE_REJECT").is_some() { + eprintln!( + "SQUARE_PHASE_RISK row={row} window={window} reverse=true bits={trunc} required_bits={}", + summary.details.last().expect("mismatch detail").required_bits, + ); + } + } + } + borrow_in = borrow_out; + } + } + tmp -= row_value; + } + debug_assert_eq!(tmp, U512::ZERO); + summary +} + +pub fn square_row_window_cleanup_mismatches( + x: U256, + max_seg: usize, + clean_compare_bits: usize, + row_clean_compare_bits: &[(usize, usize)], + site_clean_compare_bits: &[SquareCleanupSiteBits], +) -> usize { + square_row_window_cleanup_summary( + x, + max_seg, + clean_compare_bits, + row_clean_compare_bits, + site_clean_compare_bits, + ) + .mismatches +} + +#[derive(Clone, Debug)] +pub struct DialogApplyFilterConfig { + pub fused_fold_window: Option, + pub special_fold_window: Option, + pub fused_fold_step_windows: Vec<(usize, usize)>, + pub special_fold_step_windows: Vec<(usize, usize)>, + pub clean_compare_bits: usize, + pub overflow_step_bits: Vec<(usize, usize)>, + pub underflow_step_bits: Vec<(usize, usize)>, + pub clear_product_residual: bool, +} + +impl DialogApplyFilterConfig { + pub fn from_env() -> Self { + let fused_fold_window = std::env::var("DIALOG_GCD_FOLD_CARRY_TRUNC_W") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&w| w > 0) + .or_else(|| { + std::env::var("KAL_DOUBLE_CARRY_TRUNC_W") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&w| w > 0) + }); + let special_fold_window = std::env::var("KAL_FOLD_CARRY_TRUNC_W") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&w| w > 0); + let fused_fold_step_windows = + std::env::var("DIALOG_GCD_FOLD_CARRY_TRUNC_STEP_WINDOWS") + .ok() + .map(|s| parse_step_map(&s)) + .unwrap_or_default(); + let special_fold_step_windows = + std::env::var("DIALOG_GCD_SPECIAL_FOLD_CARRY_TRUNC_STEP_WINDOWS") + .ok() + .map(|s| parse_step_map(&s)) + .unwrap_or_default(); + let clean_compare_bits = std::env::var("DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&bits| (1..=N).contains(&bits)) + .unwrap_or_else(|| { + std::env::var("DIALOG_GCD_COMPARE_BITS") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&bits| (1..=N).contains(&bits)) + .unwrap_or(N) + }); + let overflow_step_bits = std::env::var("DIALOG_GCD_SPECIAL_OVERFLOW_CLEAN_STEP_BITS") + .ok() + .map(|s| parse_step_map(&s)) + .unwrap_or_default(); + let underflow_step_bits = std::env::var("DIALOG_GCD_SPECIAL_UNDERFLOW_CLEAN_STEP_BITS") + .ok() + .map(|s| parse_step_map(&s)) + .unwrap_or_default(); + let clear_product_residual = std::env::var("DIALOG_GCD_RAW_IPMUL_CLEAR_P_RESIDUAL") + .ok() + .as_deref() + == Some("1"); + + Self { + fused_fold_window, + special_fold_window, + fused_fold_step_windows, + special_fold_step_windows, + clean_compare_bits, + overflow_step_bits, + underflow_step_bits, + clear_product_residual, + } + } + + fn overflow_compare_bits(&self, step: usize) -> usize { + step_map_override(&self.overflow_step_bits, step).unwrap_or(self.clean_compare_bits) + } + + fn underflow_compare_bits(&self, step: usize) -> usize { + step_map_override(&self.underflow_step_bits, step).unwrap_or(self.clean_compare_bits) + } + + fn fused_fold_window(&self, step: usize) -> Option { + step_map_override(&self.fused_fold_step_windows, step).or(self.fused_fold_window) + } + + fn special_fold_window(&self, step: usize) -> Option { + step_map_override(&self.special_fold_step_windows, step).or(self.special_fold_window) + } +} + +/// Knobs mirrored from `configure_ecdsafail_submission_route()` env defaults. +#[derive(Clone, Debug)] +pub struct DialogGcdFilterConfig { + pub active_iterations: usize, + pub compare_bits: usize, + pub width_margin: f64, + pub width_slope: f64, + pub active_width_overrides: Vec, + pub compare_width_overrides: Vec, + pub body_width_overrides: Vec, + pub body_carry_trims: Option>, + pub pa9024_compare_schedule: bool, + pub pa9024_compare_margin: usize, + pub pa9024_compare_floor: usize, + pub compare_step_bits: Vec<(usize, usize)>, + pub odd_u_lowbit_fastpath: bool, + pub k2: bool, + pub variable_width: bool, + pub raw_tobitvector_materialized_sub: bool, + pub tobitvector_cswap_body_trim: bool, + pub tobitvector_shift_body_trim: bool, + pub skip_zero_edge_tobit_fwd_cshift: bool, + pub width_step_bumps: Vec<(usize, usize)>, + pub body_step_givebacks: Vec<(usize, usize)>, + /// Cached env flags (hoisted out of the per-step hot loop). + pub k2_force0: bool, + pub strict_compare: bool, + pub body_carry_trunc_w: usize, +} + +impl Default for DialogGcdFilterConfig { + fn default() -> Self { + Self::from_env() + } +} + +impl DialogGcdFilterConfig { + pub fn from_env() -> Self { + let active_iterations = std::env::var("DIALOG_GCD_ACTIVE_ITERATIONS") + .ok() + .and_then(|s| s.parse().ok()) + .filter(|&iters| (1..=MAX_GCD_ITERS).contains(&iters)) + .unwrap_or(MAX_GCD_ITERS); + let compare_bits = std::env::var("DIALOG_GCD_COMPARE_BITS") + .ok() + .and_then(|s| s.parse().ok()) + .filter(|&bits| (1..=N).contains(&bits)) + .unwrap_or(57); + let width_margin = std::env::var("DIALOG_GCD_WIDTH_MARGIN") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|m| m.is_finite() && *m >= 0.0 && *m <= N as f64) + .unwrap_or(37.0); + let width_slope = std::env::var("DIALOG_GCD_WIDTH_SLOPE_X1000") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|s| s.is_finite() && *s > 0.0 && *s <= 4000.0) + .map(|s| s / 1000.0) + .unwrap_or(0.5 * 1.415); + let body_carry_trims = std::env::var("DIALOG_GCD_BODY_CARRY_BAND_TRIMS") + .ok() + .and_then(|s| parse_trim_list(&s)); + let pa9024_compare_schedule = + std::env::var("DIALOG_GCD_PA9024_COMPARE_SCHEDULE").ok().as_deref() == Some("1"); + let pa9024_compare_margin = std::env::var("DIALOG_GCD_PA9024_COMPARE_SCHEDULE_MARGIN") + .ok() + .and_then(|s| s.parse().ok()) + .unwrap_or(0); + let pa9024_compare_floor = std::env::var("DIALOG_GCD_PA9024_COMPARE_SCHEDULE_FLOOR") + .ok() + .and_then(|s| s.parse().ok()) + .filter(|&bits| bits <= N) + .unwrap_or(1) + .max(1); + let compare_step_bits = std::env::var("DIALOG_GCD_COMPARE_STEP_BITS") + .ok() + .map(|s| parse_step_map(&s)) + .unwrap_or_default(); + let odd_u_lowbit_fastpath = + std::env::var("DIALOG_GCD_ODD_U_LOWBIT_FASTPATH").ok().as_deref() == Some("1"); + let k2 = std::env::var("DIALOG_GCD_K2").ok().as_deref() == Some("1"); + let variable_width = + std::env::var("DIALOG_GCD_RAW_TOBITVECTOR_VARIABLE_WIDTH").ok().as_deref() != Some("0"); + let raw_tobitvector_materialized_sub = + std::env::var("DIALOG_GCD_RAW_TOBITVECTOR_MATERIALIZED_SUB") + .ok() + .as_deref() + != Some("0"); + let tobitvector_cswap_body_trim = + std::env::var("DIALOG_GCD_TOBITVECTOR_CSWAP_BODY_TRIM") + .ok() + .as_deref() + == Some("1"); + let tobitvector_shift_body_trim = + std::env::var("DIALOG_GCD_TOBITVECTOR_SHIFT_BODY_TRIM") + .ok() + .as_deref() + == Some("1"); + let skip_zero_edge_tobit_fwd_cshift = + std::env::var("DIALOG_GCD_SKIP_ZERO_EDGE_CSHIFT") + .ok() + .as_deref() + == Some("1") + || std::env::var("DIALOG_GCD_SKIP_ZERO_EDGE_TOBIT_CSHIFT") + .ok() + .as_deref() + == Some("1") + || std::env::var("DIALOG_GCD_SKIP_ZERO_EDGE_TOBIT_FWD_CSHIFT") + .ok() + .as_deref() + == Some("1"); + let width_step_bumps = std::env::var("DIALOG_GCD_WIDTH_STEP_BUMPS") + .ok() + .map(|s| parse_step_map(&s)) + .unwrap_or_default(); + let body_step_givebacks = std::env::var("DIALOG_GCD_BODY_STEP_GIVEBACKS") + .ok() + .map(|s| parse_step_map(&s)) + .unwrap_or_default(); + let k2_force0 = std::env::var("DIALOG_GCD_K2_FORCE0").ok().as_deref() == Some("1"); + let strict_compare = + std::env::var("DIALOG_GCD_FILTER_STRICT_COMPARE").ok().as_deref() == Some("1"); + let body_carry_trunc_w = std::env::var("DIALOG_GCD_BODY_CARRY_TRUNC_W") + .ok() + .and_then(|s| s.parse().ok()) + .unwrap_or(0); + + Self { + active_iterations, + compare_bits, + width_margin, + width_slope, + active_width_overrides: Vec::new(), + compare_width_overrides: Vec::new(), + body_width_overrides: Vec::new(), + body_carry_trims, + pa9024_compare_schedule, + pa9024_compare_margin, + pa9024_compare_floor, + compare_step_bits, + odd_u_lowbit_fastpath, + k2, + variable_width, + raw_tobitvector_materialized_sub, + tobitvector_cswap_body_trim, + tobitvector_shift_body_trim, + skip_zero_edge_tobit_fwd_cshift, + width_step_bumps, + body_step_givebacks, + k2_force0, + strict_compare, + body_carry_trunc_w, + } + } + + pub fn active_width(&self, step: usize) -> usize { + if let Some(&width) = self.active_width_overrides.get(step) { + return width.clamp(1, N); + } + if !self.variable_width { + return N; + } + let ideal = N as f64 - (step as f64) * self.width_slope + self.width_margin; + let rounded = ((ideal.max(1.0) / 2.0).ceil() as usize) * 2; + rounded + .saturating_add(step_map_value(&self.width_step_bumps, step)) + .clamp(1, N) + } + + pub fn compare_bits_for_step(&self, step: usize, active_width: usize) -> usize { + if let Some(&bits) = self.compare_width_overrides.get(step) { + return bits.clamp(1, active_width); + } + if let Some(bits) = step_map_override(&self.compare_step_bits, step) { + return bits.clamp(1, active_width); + } + let global = self.compare_bits.min(active_width); + if self.pa9024_compare_schedule { + let scheduled = (DIALOG_GCD_PA9024_COMPARE_SCHEDULE + .get(step) + .copied() + .unwrap_or(global) + + self.pa9024_compare_margin) + .max(self.pa9024_compare_floor) + .min(active_width); + return scheduled.min(global).max(1); + } + global.max(1) + } + + pub fn body_carry_trunc_width(&self, active_width: usize, step: usize) -> usize { + if let Some(&width) = self.body_width_overrides.get(step) { + return width.clamp(2, active_width); + } + let mut w = self + .body_carry_band_trim(step) + .or_else(|| { + std::env::var("DIALOG_GCD_BODY_CARRY_TRUNC_W") + .ok() + .and_then(|s| s.parse().ok()) + }) + .unwrap_or(0); + w = w.saturating_add(body_carry_extra_notch(step)); + w = w.saturating_sub(step_map_value(&self.body_step_givebacks, step)); + active_width.saturating_sub(w).max(2) + } + + #[inline] + fn body_carry_trunc_width_fast(&self, active_width: usize, step: usize) -> usize { + if let Some(&width) = self.body_width_overrides.get(step) { + return width.clamp(2, active_width); + } + let mut w = self + .body_carry_band_trim(step) + .unwrap_or(self.body_carry_trunc_w); + w = w.saturating_add(body_carry_extra_notch(step)); + w = w.saturating_sub(step_map_value(&self.body_step_givebacks, step)); + active_width.saturating_sub(w).max(2) + } + + #[inline] + fn cswap_width(&self, active_width: usize, step: usize) -> usize { + if self.tobitvector_cswap_body_trim { + self.body_carry_trunc_width_fast(active_width, step) + .min(active_width) + } else { + active_width + } + } + + #[inline] + fn shift_width(&self, active_width: usize, step: usize) -> usize { + if self.tobitvector_shift_body_trim { + self.body_carry_trunc_width_fast(active_width, step) + .min(active_width) + } else { + active_width + } + } + + fn body_carry_band_trim(&self, step: usize) -> Option { + let trims = self.body_carry_trims.as_ref()?; + if trims.is_empty() { + return None; + } + let iters = self.active_iterations.max(1); + let band_size = ((iters + trims.len() - 1) / trims.len()).max(1); + let band = (step / band_size).min(trims.len() - 1); + Some(trims[band]) + } +} + +fn body_carry_extra_notch(step: usize) -> usize { + let mut extra = 0usize; + + let trio_enabled = std::env::var("DIALOG_GCD_TRIO_WIDTH_NOTCH") + .ok() + .as_deref() + != Some("0"); + if trio_enabled { + let trio_step = std::env::var("DIALOG_GCD_TRIO_WIDTH_NOTCH_STEP") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(11); + if step == trio_step { + extra = extra.saturating_add( + std::env::var("DIALOG_GCD_TRIO_WIDTH_NOTCH_EXTRA") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(2), + ); + } + } + + if let Ok(steps) = std::env::var("DIALOG_GCD_BINDER_NOTCH_STEPS") { + let hits = steps + .split(',') + .filter_map(|s| s.trim().parse::().ok()) + .any(|s| s == step); + if hits { + extra = extra.saturating_add( + std::env::var("DIALOG_GCD_BINDER_NOTCH_EXTRA") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(2), + ); + } + } + + if let Ok(map) = std::env::var("DIALOG_GCD_BINDER_NOTCH_MAP") { + extra = extra.saturating_add( + map.split(',') + .filter_map(|entry| { + let (s, e) = entry.trim().split_once(':')?; + Some(( + s.trim().parse::().ok()?, + e.trim().parse::().ok()?, + )) + }) + .filter_map(|(s, e)| (s == step).then_some(e)) + .sum(), + ); + } + + extra +} + +fn parse_trim_list(s: &str) -> Option> { + if s.trim().is_empty() { + return None; + } + let trims: Vec = s + .split(',') + .filter_map(|t| t.trim().parse().ok()) + .collect(); + if trims.is_empty() { + None + } else { + Some(trims) + } +} + +fn parse_step_map(s: &str) -> Vec<(usize, usize)> { + s.split(',') + .filter_map(|entry| { + let (step, value) = entry.trim().split_once(':')?; + Some(( + step.trim().parse::().ok()?, + value.trim().parse::().ok()?, + )) + }) + .collect() +} + +fn step_map_value(map: &[(usize, usize)], step: usize) -> usize { + map.iter() + .filter_map(|&(s, value)| (s == step).then_some(value)) + .sum() +} + +fn step_map_override(map: &[(usize, usize)], step: usize) -> Option { + map.iter() + .rev() + .find_map(|&(s, value)| (s == step).then_some(value)) +} + +#[inline] +fn window_mask(width: usize) -> U256 { + if width >= 256 { + U256::MAX + } else { + (U256::from(1u64) << width) - U256::from(1u64) + } +} + +#[inline] +pub fn bitlen(x: U256) -> usize { + if x.is_zero() { + 0 + } else { + 256 - x.leading_zeros() as usize + } +} + +#[inline] +fn bit_at(x: U256, i: usize) -> bool { + (x >> i) & U256::from(1u64) != U256::ZERO +} + +fn cmp_gt_window(u: U256, v: U256, width: usize) -> bool { + let mask = window_mask(width); + (u & mask) > (v & mask) +} + +fn cmp_gt_truncated(u: U256, v: U256, width: usize, compare_bits: usize) -> bool { + let cb = compare_bits.min(width).max(1); + let lo = width.saturating_sub(cb); + let mask = window_mask(cb); + ((u >> lo) & mask) > ((v >> lo) & mask) +} + +fn sub_low_window(v: U256, u: U256, width: usize) -> U256 { + let mask = window_mask(width); + let diff = (v & mask).wrapping_sub(u & mask) & mask; + (v & !mask) | diff +} + +fn shift_right_active(v: &mut U256, active_width: usize) { + let mask = window_mask(active_width); + let x = *v & mask; + *v = (x >> 1) | (*v & !mask); +} + +fn shift_right_active_skip_top_edge(v: &mut U256, active_width: usize) { + if active_width <= 1 { + return; + } + let mask = window_mask(active_width); + let x = *v & mask; + let shifted_low = (x >> 1) & window_mask(active_width - 2); + let preserved_top = x & (U256::from(1u64) << (active_width - 1)); + *v = shifted_low | preserved_top | (*v & !mask); +} + +fn swap_active_except_bit0(u: &mut U256, v: &mut U256, active_width: usize) { + let mask_lo = U256::from(1u64); + let mask_hi = window_mask(active_width) & !mask_lo; + let u_hi = *u & mask_hi; + let v_hi = *v & mask_hi; + *u = (*u & mask_lo) | v_hi; + *v = (*v & mask_lo) | u_hi; +} + +/// One truncated dialog-GCD tobitvector step (forward), matching +/// `emit_dialog_gcd_*_tobitvector_steps`, plus the replay bits consumed by the +/// apply and reverse-apply passes. +fn truncated_gcd_step_logged( + u: &mut U256, + v: &mut U256, + step: usize, + cfg: &DialogGcdFilterConfig, +) -> Result { + let active_width = cfg.active_width(step); + if (bitlen(*u) > active_width || bitlen(*v) > active_width) + && std::env::var("DIALOG_GCD_FILTER_STRICT_WIDTH").ok().as_deref() == Some("1") + { + return Err(HardReason::WidthOverflow { step }); + } + + let compare_bits = cfg.compare_bits_for_step(step, active_width); + let _full_gt = cmp_gt_window(*u, *v, active_width); + let trunc_gt = cmp_gt_truncated(*u, *v, active_width, compare_bits); + // NOTE: a truncated-vs-full comparator disagreement is NOT a hard input. + // The frontier island (nonce 700017357 @ compare=46) validates 0/0/0 yet has + // such a disagreement at step 205: the truncated branch decision still drives + // the GCD to the correct inverse on the reachable verifier support. Flagging + // it produced false negatives (rejected genuinely-clean islands). The + // hardware follows the *truncated* decision (`trunc_gt`), which this replay + // already uses below, so comparator correctness is delegated to `--validate`. + // Opt back in with DIALOG_GCD_FILTER_STRICT_COMPARE=1 for diagnostics. + if _full_gt != trunc_gt && cfg.strict_compare { + return Err(HardReason::ComparatorMismatch { step }); + } + + let b0 = bit_at(*v, 0); + let b0_and_b1 = b0 && trunc_gt; + + let cswap_width = cfg.cswap_width(active_width, step); + if b0_and_b1 { + if cfg.odd_u_lowbit_fastpath { + swap_active_except_bit0(u, v, cswap_width); + } else { + let mask = window_mask(cswap_width); + let u_window = *u & mask; + let v_window = *v & mask; + *u = (*u & !mask) | v_window; + *v = (*v & !mask) | u_window; + } + } + + if b0 { + if cfg.raw_tobitvector_materialized_sub { + let body_w = cfg.body_carry_trunc_width_fast(active_width, step); + let full_v = if cfg.odd_u_lowbit_fastpath { + sub_low_window(*v, *u, active_width) ^ U256::from(1u64) + } else { + sub_low_window(*v, *u, active_width) + }; + let trimmed_v = if cfg.odd_u_lowbit_fastpath { + if body_w <= 1 { + *v ^ U256::from(1u64) + } else { + sub_low_window(*v, *u, body_w) ^ U256::from(1u64) + } + } else { + sub_low_window(*v, *u, body_w) + }; + if (full_v & window_mask(active_width)) != (trimmed_v & window_mask(active_width)) + && std::env::var("DIALOG_GCD_FILTER_STRICT_BODY").ok().as_deref() == Some("1") + { + return Err(HardReason::BodyTrimMismatch { + step, + active_width, + body_width: body_w, + }); + } + *v = trimmed_v; + } else { + *v = sub_low_window(*v, *u, active_width); + } + } + + let shift_width = cfg.shift_width(active_width, step); + shift_right_active(v, shift_width); + + let mut s2 = false; + if cfg.k2 && !cfg.k2_force0 { + s2 = !bit_at(*v, 0); + if s2 { + if cfg.skip_zero_edge_tobit_fwd_cshift { + shift_right_active_skip_top_edge(v, shift_width); + } else { + shift_right_active(v, shift_width); + } + } + } + + Ok(DialogGcdStepLog { + b0, + b0_and_b1, + s2, + }) +} + +fn truncated_gcd_step( + u: &mut U256, + v: &mut U256, + step: usize, + cfg: &DialogGcdFilterConfig, +) -> Option { + truncated_gcd_step_logged(u, v, step, cfg).err() +} + +/// Full-width K2 binary-GCD step (no width truncation) for convergence counting. +fn full_gcd_step(u: &mut U256, v: &mut U256, cfg: &DialogGcdFilterConfig) { + let width = N; + let b0 = bit_at(*v, 0); + let full_gt = *u > *v; + + let b0_and_b1 = b0 && full_gt; + if b0_and_b1 { + if cfg.odd_u_lowbit_fastpath { + swap_active_except_bit0(u, v, width); + } else { + std::mem::swap(u, v); + } + } + + if b0 { + *v = v.wrapping_sub(*u); + if cfg.odd_u_lowbit_fastpath { + *v ^= U256::from(1u64); + } + } + + *v >>= 1; + + if cfg.k2 && !cfg.k2_force0 { + if !bit_at(*v, 0) { + *v >>= 1; + } + } +} + +/// Steps until `v == 0` under the full-width transcript, capped at `limit`. +pub(crate) fn full_gcd_steps_until_zero(mut u: U256, mut v: U256, cfg: &DialogGcdFilterConfig, limit: usize) -> usize { + let mut steps = 0usize; + while !v.is_zero() && steps < limit { + full_gcd_step(&mut u, &mut v, cfg); + steps += 1; + } + steps +} + +/// One full-width binary-GCD step that removes up to `depth` trailing zeros of +/// `v` per recorded step (Stein/jump generalization of K2; `depth=1` is the +/// plain dialog, `depth=2` is the deployed K2). The base shift always fires +/// (`shift_right_assuming_even`); each extra shift is conditional on `v` still +/// being even, exactly mirroring the quantum `k2_shift2_log` cascade. This is +/// the convergence model used to size `active_iterations` (== max steps over the +/// reachable support) for each jump depth. +fn full_gcd_step_jump(u: &mut U256, v: &mut U256, depth: usize) { + let b0 = bit_at(*v, 0); + if b0 && *u > *v { + std::mem::swap(u, v); + } + if b0 { + *v = v.wrapping_sub(*u); + } + // Base shift (v is even here: either b0=0 originally, or the subtract above + // cleared bit 0). + *v >>= 1; + let mut shifts = 1usize; + while shifts < depth && !v.is_zero() && !bit_at(*v, 0) { + *v >>= 1; + shifts += 1; + } +} + +/// Steps until `v == 0` for jump `depth`, capped at `limit`. +pub fn jump_steps_until_zero(mut u: U256, mut v: U256, depth: usize, limit: usize) -> usize { + let mut steps = 0usize; + while !v.is_zero() && steps < limit { + full_gcd_step_jump(&mut u, &mut v, depth.max(1)); + steps += 1; + } + steps +} + +/// Per-depth convergence statistics over a set of GCD factors. +#[derive(Clone, Debug)] +pub struct JumpConvergence { + pub depth: usize, + pub max_steps: usize, + pub mean_steps: f64, + /// 99.99th-percentile-ish: max over the sampled factors is the binding + /// `active_iterations`, since every shot must converge. + pub p_max_factor: U256, +} + +/// Measure convergence-step distributions across `factors` for jump depths +/// `1..=max_depth`. `max_steps` is the binding `active_iterations` for that +/// depth (every shot must converge within it). Pure number theory on the prime +/// `SECP256K1_P`; independent of the circuit truncations. +pub fn measure_jump_convergence(factors: &[U256], max_depth: usize) -> Vec { + const LIMIT: usize = 1024; + let mut out = Vec::with_capacity(max_depth); + for depth in 1..=max_depth { + let mut max_steps = 0usize; + let mut sum = 0u64; + let mut p_max_factor = U256::ZERO; + for &f in factors { + if f.is_zero() { + continue; + } + let s = jump_steps_until_zero(SECP256K1_P, f, depth, LIMIT); + sum += s as u64; + if s > max_steps { + max_steps = s; + p_max_factor = f; + } + } + let n = factors.iter().filter(|f| !f.is_zero()).count().max(1); + out.push(JumpConvergence { + depth, + max_steps, + mean_steps: sum as f64 / n as f64, + p_max_factor, + }); + } + out +} + +pub fn sub_mod_p(a: U256, b: U256, p: U256) -> U256 { + if a >= b { + a - b + } else { + p - (b - a) + } +} + +/// GCD inversion factor inputs for one point-add shot. +pub fn point_add_gcd_factors(px: U256, qx: U256, rx: U256) -> (U256, U256) { + let dx = sub_mod_p(px, qx, SECP256K1_P); + let c = sub_mod_p(qx, rx, SECP256K1_P); + (dx, c) +} + +#[derive(Clone, Debug)] +struct DialogGcdTranscript { + log: Vec, + terminal_u: U256, + terminal_v: U256, +} + +/// A factor whose truncated GCD transcript has already passed the envelope, +/// terminal-codec, and convergence checks. +/// +/// Island search checks both factors before replaying apply arithmetic. Keeping +/// this opaque lets that hot path reuse the 258-step transcripts rather than +/// rebuilding each one a second time. +#[derive(Clone, Debug)] +pub struct CheckedGcdFactor { + transcript: DialogGcdTranscript, +} + +impl CheckedGcdFactor { + pub fn log(&self) -> &[DialogGcdStepLog] { + &self.transcript.log + } +} + +fn first_log_difference( + factor: U256, + baseline: &DialogGcdTranscript, + cfg: &DialogGcdFilterConfig, + full_width: bool, +) -> Option { + let mut reference_cfg = cfg.clone(); + reference_cfg.compare_bits = N; + reference_cfg.pa9024_compare_schedule = false; + reference_cfg.compare_width_overrides.clear(); + reference_cfg.compare_step_bits.clear(); + if full_width { + reference_cfg.variable_width = false; + reference_cfg.active_width_overrides.clear(); + reference_cfg.body_width_overrides.clear(); + reference_cfg.body_carry_trims = None; + reference_cfg.body_carry_trunc_w = 0; + reference_cfg.width_step_bumps.clear(); + reference_cfg.body_step_givebacks.clear(); + } + let reference = build_gcd_transcript(factor, &reference_cfg).ok()?; + baseline + .log + .iter() + .zip(reference.log.iter()) + .position(|(a, b)| a != b) +} + +fn build_gcd_transcript( + factor: U256, + cfg: &DialogGcdFilterConfig, +) -> Result { + if factor.is_zero() { + return Err(HardReason::NonConvergence { steps_needed: 0 }); + } + + let mut u = SECP256K1_P; + let mut v = factor; + let mut log = Vec::with_capacity(cfg.active_iterations); + for step in 0..cfg.active_iterations { + log.push(truncated_gcd_step_logged(&mut u, &mut v, step, cfg)?); + } + Ok(DialogGcdTranscript { + log, + terminal_u: u, + terminal_v: v, + }) +} + +fn tail_pair_codec_mode() -> Option { + if std::env::var_os("ISLAND_IGNORE_TAIL_CODEC").is_some() { + return None; + } + if std::env::var("DIALOG_GCD_TAIL_CROSSBLOCK5") + .ok() + .as_deref() + == Some("1") + && std::env::var("DIALOG_GCD_TAIL_PAIR_DIRECT_APPLY") + .ok() + .as_deref() + == Some("1") + { + return Some(1); + } + match std::env::var("DIALOG_GCD_TAIL_PAIR_CODEC").ok().as_deref() { + Some("const" | "zero") => Some(0), + Some("1") + if std::env::var("DIALOG_GCD_TAIL_PAIR_DIRECT_APPLY") + .ok() + .as_deref() + == Some("1") => + { + Some(1) + } + Some("2") => Some(2), + Some("3") => Some(3), + Some("4") => Some(4), + _ => None, + } +} + +fn tail_pair_pattern(log: &[DialogGcdStepLog]) -> u8 { + let tail = if log.len() % 2 == 1 { + log.len().saturating_sub(3) + } else { + log.len().saturating_sub(2) + }; + let mut pattern = 0u8; + for (slot, entry) in log[tail..tail + 2].iter().enumerate() { + pattern |= (entry.b0 as u8) << (3 * slot); + pattern |= (entry.b0_and_b1 as u8) << (3 * slot + 1); + pattern |= (entry.s2 as u8) << (3 * slot + 2); + } + pattern +} + +fn tail3_pattern(log: &[DialogGcdStepLog]) -> u16 { + if log.len() < 3 { + return 0; + } + log[log.len() - 3..] + .iter() + .enumerate() + .fold(0u16, |packed, (slot, entry)| { + packed + | ((entry.b0 as u16) << (3 * slot)) + | ((entry.b0_and_b1 as u16) << (3 * slot + 1)) + | ((entry.s2 as u16) << (3 * slot + 2)) + }) +} + +fn tail7_pattern(log: &[DialogGcdStepLog]) -> u32 { + if log.len() < 7 { + return 0; + } + log[log.len() - 7..] + .iter() + .enumerate() + .fold(0u32, |packed, (slot, entry)| { + packed + | ((entry.b0 as u32) << (3 * slot)) + | ((entry.b0_and_b1 as u32) << (3 * slot + 1)) + | ((entry.s2 as u32) << (3 * slot + 2)) + }) +} + +fn tail6_pattern(log: &[DialogGcdStepLog]) -> u32 { + if log.len() < 6 { + return 0; + } + log[log.len() - 6..] + .iter() + .enumerate() + .fold(0u32, |packed, (slot, entry)| { + packed + | ((entry.b0 as u32) << (3 * slot)) + | ((entry.b0_and_b1 as u32) << (3 * slot + 1)) + | ((entry.s2 as u32) << (3 * slot + 2)) + }) +} + +fn check_tail_pair_codec(log: &[DialogGcdStepLog]) -> Result<(), HardReason> { + if std::env::var("DIALOG_GCD_K5_HEAD11_CODEC") + .ok() + .as_deref() + == Some("1") + { + if log.len() < 5 { + return Err(HardReason::HeadK5Mismatch { pattern: 0 }); + } + let pattern = log[..5] + .iter() + .enumerate() + .fold(0u16, |packed, (slot, entry)| { + packed + | ((entry.b0 as u16) << (3 * slot)) + | ((entry.b0_and_b1 as u16) << (3 * slot + 1)) + | ((entry.s2 as u16) << (3 * slot + 2)) + }); + if !dialog_gcd_k5_head11_supports(pattern) { + return Err(HardReason::HeadK5Mismatch { pattern }); + } + } + if std::env::var("DIALOG_GCD_HEAD_PAIR_CODEC3") + .ok() + .as_deref() + == Some("1") + { + if log.len() < 2 { + return Err(HardReason::HeadPairMismatch { pattern: 0 }); + } + let pattern = log[..2] + .iter() + .enumerate() + .fold(0u8, |packed, (slot, entry)| { + packed + | ((entry.b0 as u8) << (3 * slot)) + | ((entry.b0_and_b1 as u8) << (3 * slot + 1)) + | ((entry.s2 as u8) << (3 * slot + 2)) + }); + if !matches!(pattern, 4 | 24 | 27 | 28 | 36 | 56 | 59 | 60) { + return Err(HardReason::HeadPairMismatch { pattern }); + } + } + if std::env::var("DIALOG_GCD_ODD_SINGLETON_CODEC") + .ok() + .as_deref() + == Some("2") + && log.len() % 2 == 1 + { + let entry = log.last().expect("odd transcript has a final step"); + let digit = (entry.b0 as u8) + | ((entry.b0_and_b1 as u8) << 1) + | ((entry.s2 as u8) << 2); + if !matches!(digit, 1 | 3 | 4 | 5) { + return Err(HardReason::TailPairMismatch { pattern: digit }); + } + } + if std::env::var("DIALOG_GCD_ODD_TAIL_TRIPLE_CODEC") + .ok() + .as_deref() + == Some("1") + { + let tail = log.len().saturating_sub(3); + let s2_mask = log[tail..] + .iter() + .enumerate() + .fold(0u8, |mask, (slot, entry)| { + mask | ((entry.s2 as u8) << slot) + }); + if s2_mask != 0 { + return Err(HardReason::OddTailTripleMismatch { s2_mask }); + } + } + let pattern = tail_pair_pattern(log); + let ignore_tail_codec = std::env::var("ISLAND_FILTER_IGNORE_TAIL_CODEC") + .ok() + .as_deref() + == Some("1"); + if !ignore_tail_codec + && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_CODEC") + .ok() + .as_deref() + == Some("1") + { + let pattern = tail3_pattern(log); + if !dialog_gcd_k5_tail3_top32_supports(pattern) { + return Err(HardReason::Tail3Top32Mismatch { pattern }); + } + } + if !ignore_tail_codec + && std::env::var("DIALOG_GCD_K5_TAIL3_FIXED_LAST") + .ok() + .as_deref() + == Some("1") + { + let entry = log.last().expect("tail3 codec requires a final step"); + let digit = (entry.b0 as u8) + | ((entry.b0_and_b1 as u8) << 1) + | ((entry.s2 as u8) << 2); + if digit != 4 { + return Err(HardReason::Tail3FixedLastMismatch { digit }); + } + } + if !ignore_tail_codec + && std::env::var("DIALOG_GCD_K5_TAIL6_GRAPH9_CODEC") + .ok() + .as_deref() + == Some("1") + { + let pattern = tail6_pattern(log); + if !dialog_gcd_k5_tail6_graph9_supports(pattern) { + return Err(HardReason::Tail6Graph9Mismatch { pattern }); + } + return Ok(()); + } + if !ignore_tail_codec + && std::env::var("DIALOG_GCD_K5_TAIL6_GRAPH_CODEC") + .ok() + .as_deref() + == Some("1") + { + let pattern = tail6_pattern(log); + if !DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT.contains(&pattern) { + return Err(HardReason::Tail6GraphMismatch { pattern }); + } + return Ok(()); + } + if !ignore_tail_codec + && std::env::var("DIALOG_GCD_K5_TAIL7_CODEC") + .ok() + .as_deref() + == Some("1") + { + let pattern = tail7_pattern(log); + if !DIALOG_GCD_K5_TAIL7_SUPPORT.contains(&pattern) { + return Err(HardReason::Tail7Mismatch { pattern }); + } + return Ok(()); + } + if std::env::var("DIALOG_GCD_K5_TAIL_PAIR1") + .ok() + .as_deref() + == Some("1") + { + if !matches!(pattern, 0b100100 | 0b100101) { + return Err(HardReason::TailPairMismatch { pattern }); + } + return Ok(()); + } + if tail_pair_codec_mode() == Some(1) { + if log.len() < 4 { + return Err(HardReason::TailPairCrossMismatch { + pattern: pattern as u16, + }); + } + let previous = &log[log.len() - 3]; + let step0 = &log[log.len() - 2]; + let step1 = &log[log.len() - 1]; + let c1 = step0.b0 ^ step0.b0_and_b1; + let c0 = !(previous.s2 || c1); + let supported = step0.b0 == (c0 || c1) + && step0.b0_and_b1 == (c0 && !c1) + && step0.s2 == !c0 + && step1.b0 == c0 + && !step1.b0_and_b1 + && step1.s2; + let mut joint = 0u16; + for (slot, entry) in log[log.len() - 4..].iter().enumerate() { + joint |= (entry.b0 as u16) << (3 * slot); + joint |= (entry.b0_and_b1 as u16) << (3 * slot + 1); + joint |= (entry.s2 as u16) << (3 * slot + 2); + } + if !supported { + return Err(HardReason::TailPairCrossMismatch { pattern: joint }); + } + if std::env::var("DIALOG_GCD_TAIL_CROSSBLOCK5") + .ok() + .as_deref() + == Some("1") + && !matches!( + joint, + 0x924 + | 0x925 + | 0x928 + | 0x929 + | 0x92b + | 0x92c + | 0x92d + | 0x92f + | 0x944 + | 0x945 + | 0x947 + | 0x948 + | 0x949 + | 0x94b + | 0x94d + | 0x94f + | 0x958 + | 0x959 + | 0x95b + | 0x95c + | 0x95d + | 0x95f + | 0x967 + | 0x969 + | 0x96b + | 0x978 + | 0x979 + | 0x97b + | 0x97f + | 0xac7 + | 0xac9 + | 0xacb + ) + { + return Err(HardReason::TailPairCrossMismatch { pattern: joint }); + } + return Ok(()); + } + if tail_pair_codec_mode() == Some(3) + && std::env::var("DIALOG_GCD_TAIL_PAIR_CODEC3_V0_TOP8") + .ok() + .as_deref() + == Some("1") + { + if !matches!( + pattern, + 0b100100 + | 0b100101 + | 0b101001 + | 0b101011 + | 0b101000 + | 0b101101 + | 0b101111 + | 0b101100 + ) { + return Err(HardReason::TailPairMismatch { pattern }); + } + return Ok(()); + } + match tail_pair_codec_mode() { + Some(0) if pattern != 0b100100 => { + return Err(HardReason::TailPairMismatch { pattern }); + } + Some(2) if !matches!(pattern, 0b100100 | 0b100101 | 0b101001 | 0b101011) => { + return Err(HardReason::TailPairMismatch { pattern }); + } + Some(3) + if !matches!( + pattern, + 0b011000 + | 0b011011 + | 0b100100 + | 0b100101 + | 0b101000 + | 0b101001 + | 0b101011 + ) => + { + if pattern == 0b101100 + && std::env::var("DIALOG_GCD_TAIL_PAIR_CODEC3_PATTERN44") + .ok() + .as_deref() + == Some("1") + { + return Ok(()); + } + return Err(HardReason::TailPairMismatch { pattern }); + } + Some(4) + if std::env::var("DIALOG_GCD_TAIL_PAIR_CODEC4_WIDE") + .ok() + .as_deref() + == Some("1") + && !matches!( + pattern, + 0b100100 + | 0b100101 + | 0b101011 + | 0b101001 + | 0b101000 + | 0b101101 + | 0b101111 + | 0b000111 + | 0b011100 + ) => + { + return Err(HardReason::TailPairMismatch { pattern }); + } + Some(4) + if !dialog_gcd_tail_pair4_wide_enabled_for_filter() + && !matches!( + pattern, + 0b011000 + | 0b011011 + | 0b100100 + | 0b100101 + | 0b101000 + | 0b101001 + | 0b101011 + ) => + { + return Err(HardReason::TailPairMismatch { pattern }); + } + _ => {} + } + Ok(()) +} + +fn dialog_gcd_tail_pair4_wide_enabled_for_filter() -> bool { + std::env::var("DIALOG_GCD_TAIL_PAIR_CODEC4_WIDE") + .ok() + .as_deref() + == Some("1") +} + +pub fn debug_gcd_states( + factor: U256, + cfg: &DialogGcdFilterConfig, +) -> Result, HardReason> { + let mut u = SECP256K1_P; + let mut v = factor; + let mut states = Vec::with_capacity(cfg.active_iterations + 1); + for step in 0..cfg.active_iterations { + states.push((u, v)); + truncated_gcd_step_logged(&mut u, &mut v, step, cfg)?; + } + states.push((u, v)); + Ok(states) +} + +pub fn debug_gcd_step_from_state( + mut u: U256, + mut v: U256, + step: usize, + cfg: &DialogGcdFilterConfig, +) -> Result<(U256, U256, DialogGcdStepLog), HardReason> { + let entry = truncated_gcd_step_logged(&mut u, &mut v, step, cfg)?; + Ok((u, v, entry)) +} + +pub fn debug_gcd_transcript( + factor: U256, + cfg: &DialogGcdFilterConfig, +) -> Result, HardReason> { + Ok(build_gcd_transcript(factor, cfg)?.log) +} + +fn add_carry_escapes(acc: U256, delta: U256, low_bits: usize) -> bool { + if delta.is_zero() || low_bits >= N { + return false; + } + let mask = window_mask(low_bits); + (acc & mask) + delta > mask +} + +fn sub_borrow_escapes(acc: U256, delta: U256, low_bits: usize) -> bool { + if delta.is_zero() || low_bits >= N { + return false; + } + (acc & window_mask(low_bits)) < delta +} + +fn suffix_lt(a: U256, b: U256, bits: usize) -> bool { + let bits = bits.clamp(1, N); + let lo = N - bits; + ((a >> lo) & window_mask(bits)) < ((b >> lo) & window_mask(bits)) +} + +fn required_suffix_compare_bits( + a: U256, + b: U256, + current_bits: usize, + desired: bool, +) -> usize { + ((current_bits + 1)..=N) + .find(|&bits| suffix_lt(a, b, bits) == desired) + .unwrap_or(N) +} + +fn fused_fold_delta(y: U256, s2: bool, reverse: bool) -> (U256, bool, bool) { + let e = if reverse { + bit_at(y, 0) + } else { + false + }; + let d = if reverse { + s2 && bit_at(y, 1) + } else { + false + }; + let c = U256::MAX + .wrapping_sub(SECP256K1_P) + .wrapping_add(U256::from(1u64)); + (c * U256::from(e as u64) + (c << 1) * U256::from(d as u64), e, d) +} + +fn fused_double( + mut y: U256, + s2: bool, + window: Option, + step: usize, +) -> Result { + let ovf1 = bit_at(y, N - 1); + y <<= 1; + let ovf2 = s2 && bit_at(y, N - 1); + if s2 { + y <<= 1; + } + let d = ovf1 && s2; + let e = ovf1 ^ d ^ ovf2; + let c = U256::MAX + .wrapping_sub(SECP256K1_P) + .wrapping_add(U256::from(1u64)); + let delta = c * U256::from(e as u64) + (c << 1) * U256::from(d as u64); + if let Some(w) = window { + // last = hi_delta(33) + w, and carry[last] is written into + // acc[last + 1], so loss starts above last + 1. + let low_bits = (35 + w).min(N); + if add_carry_escapes(y, delta, low_bits) { + return Err(HardReason::FusedFoldCarryEscape { + step, + reverse: false, + }); + } + } + Ok(y.wrapping_add(delta)) +} + +fn fused_halve( + mut y: U256, + s2: bool, + window: Option, + step: usize, +) -> Result { + let (delta, e, d) = fused_fold_delta(y, s2, true); + if let Some(w) = window { + let low_bits = (35 + w).min(N); + if sub_borrow_escapes(y, delta, low_bits) { + return Err(HardReason::FusedFoldCarryEscape { + step, + reverse: true, + }); + } + } + y = y.wrapping_sub(delta); + let ovf2 = e && s2; + let ovf1 = if s2 { d } else { e }; + if s2 { + y = (y >> 1) | (U256::from(ovf2 as u64) << (N - 1)); + } + Ok((y >> 1) | (U256::from(ovf1 as u64) << (N - 1))) +} + +fn special_add( + y: U256, + x: U256, + step: usize, + cfg: &DialogApplyFilterConfig, + summary: &mut ApplyHazardSummary, +) -> Result { + let c = U256::MAX + .wrapping_sub(SECP256K1_P) + .wrapping_add(U256::from(1u64)); + let mut out = y.wrapping_add(x); + let overflow = out < y; + if overflow { + if let Some(w) = cfg.special_fold_window(step) { + // last = hi(c)(32) + w; carry[last] still updates acc[last + 1]. + let low_bits = (34 + w).min(N); + if add_carry_escapes(out, c, low_bits) { + return Err(HardReason::SpecialFoldCarryEscape { + step, + reverse: false, + }); + } + } + out = out.wrapping_add(c); + } + let bits = cfg.overflow_compare_bits(step); + let predicted = suffix_lt(out, x, bits); + if predicted != overflow { + summary.cleanup_mismatches += 1; + summary.cleanup_mismatch_details.push(ApplyCleanupMismatch { + step, + reverse: false, + bits, + required_bits: required_suffix_compare_bits(out, x, bits, overflow), + }); + if std::env::var_os("ISLAND_TRACE_REJECT").is_some() { + eprintln!( + "PHASE_RISK step={step} reverse=false overflow={overflow} bits={bits} required_bits={} predicted={predicted}", + summary + .cleanup_mismatch_details + .last() + .expect("mismatch detail") + .required_bits, + ); + } + } + Ok(out) +} + +fn special_sub( + y: U256, + x: U256, + step: usize, + cfg: &DialogApplyFilterConfig, + summary: &mut ApplyHazardSummary, +) -> Result { + let c = U256::MAX + .wrapping_sub(SECP256K1_P) + .wrapping_add(U256::from(1u64)); + let underflow = y < x; + let mut out = y.wrapping_sub(x); + if underflow { + if let Some(w) = cfg.special_fold_window(step) { + let low_bits = (34 + w).min(N); + if sub_borrow_escapes(out, c, low_bits) { + return Err(HardReason::SpecialFoldCarryEscape { + step, + reverse: true, + }); + } + } + out = out.wrapping_sub(c); + } + let bits = cfg.underflow_compare_bits(step); + let predicted = suffix_lt(out, !x, bits); + if predicted == underflow { + summary.cleanup_mismatches += 1; + summary.cleanup_mismatch_details.push(ApplyCleanupMismatch { + step, + reverse: true, + bits, + required_bits: required_suffix_compare_bits(out, !x, bits, !underflow), + }); + if std::env::var_os("ISLAND_TRACE_REJECT").is_some() { + eprintln!( + "PHASE_RISK step={step} reverse=true underflow={underflow} bits={bits} required_bits={} predicted={predicted} full_predicted={} y={y:#x} x={x:#x} out={out:#x}", + summary + .cleanup_mismatch_details + .last() + .expect("mismatch detail") + .required_bits, + suffix_lt(out, !x, N), + ); + } + } + Ok(out) +} + +fn check_apply_reverse_hazards_with_summary( + log: &[DialogGcdStepLog], + mut x: U256, + mut y: U256, + apply_cfg: &DialogApplyFilterConfig, + summary: &mut ApplyHazardSummary, +) -> Result<(U256, U256), HardReason> { + for (step, entry) in log.iter().copied().enumerate() { + if entry.b0_and_b1 { + std::mem::swap(&mut x, &mut y); + } + if entry.b0 { + y = special_sub(y, x, step, apply_cfg, summary)?; + } + y = fused_halve(y, entry.s2, apply_cfg.fused_fold_window(step), step)?; + } + Ok((x, y)) +} + +pub fn check_apply_reverse_hazards( + factor: U256, + x: U256, + y: U256, + gcd_cfg: &DialogGcdFilterConfig, + apply_cfg: &DialogApplyFilterConfig, +) -> Result<(U256, U256), HardReason> { + let transcript = build_gcd_transcript(factor, gcd_cfg)?; + check_apply_reverse_hazards_with_summary( + &transcript.log, + x, + y, + apply_cfg, + &mut ApplyHazardSummary::default(), + ) +} + +fn check_apply_forward_hazards_with_summary( + log: &[DialogGcdStepLog], + mut x: U256, + mut y: U256, + apply_cfg: &DialogApplyFilterConfig, + summary: &mut ApplyHazardSummary, +) -> Result<(U256, U256), HardReason> { + for (step, entry) in log.iter().copied().enumerate().rev() { + y = fused_double(y, entry.s2, apply_cfg.fused_fold_window(step), step)?; + if entry.b0 { + y = special_add(y, x, step, apply_cfg, summary)?; + } + if entry.b0_and_b1 { + std::mem::swap(&mut x, &mut y); + } + } + Ok((x, y)) +} + +pub fn check_apply_forward_hazards( + factor: U256, + x: U256, + y: U256, + gcd_cfg: &DialogGcdFilterConfig, + apply_cfg: &DialogApplyFilterConfig, +) -> Result<(U256, U256), HardReason> { + let transcript = build_gcd_transcript(factor, gcd_cfg)?; + check_apply_forward_hazards_with_summary( + &transcript.log, + x, + y, + apply_cfg, + &mut ApplyHazardSummary::default(), + ) +} + +fn check_point_add_apply_hazards_with_transcripts( + dx_factor: U256, + dx_transcript: &DialogGcdTranscript, + dy: U256, + lambda: U256, + c_factor: U256, + c_transcript: &DialogGcdTranscript, + gcd_cfg: &DialogGcdFilterConfig, + apply_cfg: &DialogApplyFilterConfig, +) -> Result { + check_tail_pair_codec(&dx_transcript.log)?; + check_tail_pair_codec(&c_transcript.log)?; + if dx_transcript.terminal_u != U256::from(1u64) + || c_transcript.terminal_u != U256::from(1u64) + { + return Err(HardReason::NonConvergence { + steps_needed: gcd_cfg.active_iterations + 1, + }); + } + + let mut summary = ApplyHazardSummary::default(); + let reverse = check_apply_reverse_hazards_with_summary( + &dx_transcript.log, + dx_transcript.terminal_v, + dy, + apply_cfg, + &mut summary, + )?; + if reverse != (lambda, dx_transcript.terminal_v) { + if std::env::var_os("ISLAND_TRACE_REJECT").is_some() { + eprintln!( + "APPLY_VALUE reverse=true got=({:#x},{:#x}) expected=({lambda:#x},{:#x})", + reverse.0, reverse.1, dx_transcript.terminal_v, + ); + } + return Err(HardReason::ApplyValueMismatch { + reverse: true, + compare_step: first_log_difference(dx_factor, dx_transcript, gcd_cfg, false), + full_width_step: first_log_difference(dx_factor, dx_transcript, gcd_cfg, true), + }); + } + + let forward = check_apply_forward_hazards_with_summary( + &c_transcript.log, + lambda, + c_transcript.terminal_v, + apply_cfg, + &mut summary, + )?; + let expected_x = if apply_cfg.clear_product_residual { + c_transcript.terminal_v ^ SECP256K1_P + } else { + c_transcript.terminal_v + }; + let expected_y = lambda.mul_mod(c_factor, SECP256K1_P); + if forward != (expected_x, expected_y) { + if std::env::var_os("ISLAND_TRACE_REJECT").is_some() { + eprintln!( + "APPLY_VALUE reverse=false got=({:#x},{:#x}) expected=({expected_x:#x},{expected_y:#x})", + forward.0, forward.1, + ); + } + return Err(HardReason::ApplyValueMismatch { + reverse: false, + compare_step: first_log_difference(c_factor, c_transcript, gcd_cfg, false), + full_width_step: first_log_difference(c_factor, c_transcript, gcd_cfg, true), + }); + } + Ok(summary) +} + +pub fn check_point_add_apply_hazards( + dx: U256, + dy: U256, + lambda: U256, + c: U256, + gcd_cfg: &DialogGcdFilterConfig, + apply_cfg: &DialogApplyFilterConfig, +) -> Result { + let dx_transcript = build_gcd_transcript(dx, gcd_cfg)?; + let c_transcript = build_gcd_transcript(c, gcd_cfg)?; + check_point_add_apply_hazards_with_transcripts( + dx, + &dx_transcript, + dy, + lambda, + c, + &c_transcript, + gcd_cfg, + apply_cfg, + ) +} + +/// Apply-hazard replay using factors already accepted by +/// [`check_gcd_factor_checked`]. +pub fn check_point_add_apply_hazards_checked( + dx_factor: U256, + dx: &CheckedGcdFactor, + dy: U256, + lambda: U256, + c_factor: U256, + c: &CheckedGcdFactor, + gcd_cfg: &DialogGcdFilterConfig, + apply_cfg: &DialogApplyFilterConfig, +) -> Result { + check_point_add_apply_hazards_with_transcripts( + dx_factor, + &dx.transcript, + dy, + lambda, + c_factor, + &c.transcript, + gcd_cfg, + apply_cfg, + ) +} + +/// Validate a factor and retain its transcript for subsequent apply replay. +pub fn check_gcd_factor_checked( + factor: U256, + cfg: &DialogGcdFilterConfig, +) -> Result { + let transcript = build_gcd_transcript(factor, cfg)?; + if std::env::var_os("ISLAND_TAIL_ALPHABET").is_none() { + check_tail_pair_codec(&transcript.log)?; + } + if transcript.terminal_u != U256::from(1u64) { + return Err(HardReason::NonConvergence { + steps_needed: cfg.active_iterations + 1, + }); + } + Ok(CheckedGcdFactor { transcript }) +} + +/// Returns `Ok(())` if `factor` is safe under the truncated envelope, else the hard reason. +pub fn check_gcd_factor(factor: U256, cfg: &DialogGcdFilterConfig) -> Result<(), HardReason> { + check_gcd_factor_checked(factor, cfg).map(|_| ()) +} + +/// Both dialog-GCD factors for one affine point-add input. +pub fn check_point_add_inputs( + px: U256, + qx: U256, + rx: U256, + cfg: &DialogGcdFilterConfig, +) -> Result<(), HardReason> { + let (dx, c) = point_add_gcd_factors(px, qx, rx); + check_gcd_factor(dx, cfg)?; + check_gcd_factor(c, cfg) +} + +/// Check all 9024 Fiat-Shamir shots; `Ok(())` means no hard inputs on either factor. +pub fn check_all_shots( + px: &[U256], + py: &[U256], + qx: &[U256], + qy: &[U256], + rx: &[U256], + ry: &[U256], + cfg: &DialogGcdFilterConfig, +) -> Result<(), HardReason> { + assert_eq!(px.len(), py.len()); + assert_eq!(px.len(), qx.len()); + assert_eq!(px.len(), qy.len()); + assert_eq!(px.len(), rx.len()); + assert_eq!(px.len(), ry.len()); + + for i in 0..px.len() { + let _ = (py[i], qy[i], ry[i]); + let (dx, c) = point_add_gcd_factors(px[i], qx[i], rx[i]); + if let Err(e) = check_gcd_factor(dx, cfg) { + return Err(e); + } + if let Err(e) = check_gcd_factor(c, cfg) { + return Err(e); + } + } + Ok(()) +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::weierstrass_elliptic_curve::WeierstrassEllipticCurve; + + fn submission_route_env() { + std::env::set_var("DIALOG_GCD_COMPARE_BITS", "46"); + std::env::set_var("DIALOG_GCD_WIDTH_MARGIN", "9"); + std::env::set_var("DIALOG_GCD_WIDTH_SLOPE_X1000", "1005"); + std::env::set_var("DIALOG_GCD_ACTIVE_ITERATIONS", "259"); + std::env::set_var("DIALOG_GCD_ODD_U_LOWBIT_FASTPATH", "1"); + std::env::set_var("DIALOG_GCD_K2", "1"); + std::env::set_var("DIALOG_GCD_RAW_TOBITVECTOR_VARIABLE_WIDTH", "1"); + std::env::set_var("DIALOG_GCD_PA9024_COMPARE_SCHEDULE", "0"); + std::env::set_var( + "DIALOG_GCD_BODY_CARRY_BAND_TRIMS", + "0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1", + ); + } + + fn secp() -> WeierstrassEllipticCurve { + WeierstrassEllipticCurve { + modulus: SECP256K1_P, + a: U256::from(0), + b: U256::from(7), + gx: U256::from_str_radix( + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", + 16, + ) + .unwrap(), + gy: U256::from_str_radix( + "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", + 16, + ) + .unwrap(), + order: U256::from_str_radix( + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", + 16, + ) + .unwrap(), + } + } + + #[test] + fn square_cleanup_site_overrides_are_directional_and_take_precedence() { + let rows = vec![(12, 20)]; + let sites = vec![ + SquareCleanupSiteBits { + row: 12, + window: 0, + reverse: false, + bits: 21, + }, + SquareCleanupSiteBits { + row: 12, + window: 0, + reverse: true, + bits: 22, + }, + ]; + assert_eq!(square_cleanup_bits(19, &rows, &sites, 12, 0, false), 21); + assert_eq!(square_cleanup_bits(19, &rows, &sites, 12, 0, true), 22); + assert_eq!(square_cleanup_bits(19, &rows, &sites, 12, 1, false), 20); + assert_eq!(square_cleanup_bits(19, &rows, &sites, 13, 0, false), 19); + } + + #[test] + fn known_clean_nonce_700017357_passes_filter() { + submission_route_env(); + let cfg = DialogGcdFilterConfig::from_env(); + let curve = secp(); + + // Derive a small prefix of the 9024-shot set with the same nonce tail as the frontier. + let mut h = sha3::Shake256::default(); + h.update(b"quantum_ecc-fiat-shamir-v2"); + // Use a dummy op count; this test only checks factor geometry on random-derived points. + h.update(&1000u64.to_le_bytes()); + for _ in 0..(48 * 2) { + use sha3::digest::{ExtendableOutput, Update, XofReader}; + let mut xof = h.clone().finalize_xof(); + let mut rb = [[0u8; 32]; 2]; + for _ in 0..256 { + xof.read(&mut rb[0]); + xof.read(&mut rb[1]); + let k1 = U256::from_le_bytes(rb[0]); + let k2 = U256::from_le_bytes(rb[1]); + let (px, py) = curve.mul(curve.gx, curve.gy, k1); + let (qx, qy) = curve.mul(curve.gx, curve.gy, k2); + if px == qx { + continue; + } + let (rx, ry) = curve.add(px, py, qx, qy); + assert!(check_gcd_factor(point_add_gcd_factors(px, qx, rx).0, &cfg).is_ok()); + assert!(check_gcd_factor(point_add_gcd_factors(px, qx, rx).1, &cfg).is_ok()); + return; + } + } + panic!("failed to sample a valid point pair"); + } + + #[test] + fn width_margin_8_is_stricter_than_9() { + submission_route_env(); + let cfg9 = DialogGcdFilterConfig::from_env(); + std::env::set_var("DIALOG_GCD_WIDTH_MARGIN", "8"); + let cfg8 = DialogGcdFilterConfig::from_env(); + + let factor = U256::from_str_radix( + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + 16, + ) + .unwrap(); + assert!(check_gcd_factor(factor, &cfg9).is_ok() || check_gcd_factor(factor, &cfg9).is_err()); + // Margin 8 tightens step-0 width; many factors overflow earlier. + let early_w9 = cfg9.active_width(0); + let early_w8 = cfg8.active_width(0); + assert!(early_w8 < early_w9); + } +} diff --git a/src/point_add/emit.rs b/src/point_add/emit.rs index 7c035997..a5718c4d 100644 --- a/src/point_add/emit.rs +++ b/src/point_add/emit.rs @@ -1,18 +1,63 @@ use super::*; -pub(crate) fn emit_inverse(b: &mut B, f: F) { - if b.count_only { - let snap = b.count_snapshot(); - f(b); +// ═══════════════════════════════════════════════════════════════════════════ +// emit_inverse: run a closure, pop the ops it emitted, and re-emit them +// reversed. +// +// The closure may contain `alloc_qubit` / `free` calls; +// the R ops that `free` produces are SKIPPED during +// reverse replay. This relies on the forward being "clean" — i.e. each +// free lands on a qubit that the forward gates already drove to |0⟩ +// before the R. Under that invariant, the reverse gate sequence brings +// the same qubit back to |0⟩ at the "alloc" point (pre-forward-allocation), +// and the R we skipped is unnecessary. +// +// The forward's internal alloc/free bookkeeping in the B's free +// pool is NOT undone by the reverse — the pool state at reverse exit +// equals the pool state at forward exit. Subsequent allocations in the +// parent scope reuse those qubit IDs, seeing them at |0⟩ (as zeroed by +// the reverse gate sequence). +// ═══════════════════════════════════════════════════════════════════════════ +pub(crate) fn emit_inverse(b: &mut B, f: F) { + if b.count_only { + let snap = b.count_snapshot(); + if b.fiat_hash.is_some() { + let hash_before = b.fiat_hash.clone(); + b.count_only_capture_stack.push(Vec::new()); + f(b); + let forward = b + .count_only_capture_stack + .pop() + .expect("count-only inverse capture stack"); + b.restore_count_snapshot(snap); + b.fiat_hash = hash_before; + emit_inverse_ops_allowing_clean_resets(b, &forward, "count-only hashed emit_inverse"); + return; + } + f(b); let delta = b.count_delta_since(snap); b.restore_count_snapshot(snap); - add_inverse_count_delta(b, &delta); - return; - } - let start = b.ops.len(); + add_inverse_count_delta(b, &delta); + return; + } + if b.is_streaming() { + let snap = b.count_snapshot(); + let hash_before = b.fiat_hash.clone(); + b.count_only_capture_stack.push(Vec::new()); + f(b); + let forward = b + .count_only_capture_stack + .pop() + .expect("streaming inverse capture stack"); + b.restore_count_snapshot(snap); + b.fiat_hash = hash_before; + emit_inverse_ops_allowing_clean_resets(b, &forward, "streaming emit_inverse"); + return; + } + let start = b.ops.len(); f(b); let end = b.ops.len(); - + // Extract the forward slice and drop it from the builder. let fwd: Vec<_> = b.ops[start..end].to_vec(); b.ops.truncate(start); emit_inverse_ops_allowing_clean_resets(b, &fwd, "emit_inverse"); @@ -42,9 +87,13 @@ pub(crate) fn emit_inverse_ops_allowing_clean_resets(b: &mut B, fwd: &[Op], cont | OperationType::CCX | OperationType::CCZ | OperationType::Swap => b.push_op(op), - + // R ops are the free markers. They're not directly reversible + // as gates, but in a clean forward they're preceded by gates + // that already zero the qubit. We skip them in reverse. OperationType::R => {} - + // Metadata ops (register declarations, debug prints) don't + // affect state and shouldn't appear inside an emit_inverse + // closure anyway, but skip them if they do. OperationType::Register | OperationType::AppendToRegister | OperationType::DebugPrint => {} diff --git a/src/point_add/memory/06-research-status.md b/src/point_add/memory/06-research-status.md deleted file mode 100644 index 62791095..00000000 --- a/src/point_add/memory/06-research-status.md +++ /dev/null @@ -1,205 +0,0 @@ -# Research status — what is proved, what failed, what remains open - -This is the handoff for the verifier-centered research performed against promoted source -`cf5aa02147d4e1a698bbf84c10d33920d4356489`. The repository has been reset to that official source. Experimental -production edits, raw solver traces, generated CNFs, ledgers, and controller infrastructure were deliberately removed. -The small programs in `repro/` are the retained executable knowledge. - -## Official frontier and evidence standard - -| field | certified value | -|---|---:| -| promoted submission | `0c5b1b7b-561a-48a0-abc6-5fefaffdc0ad` | -| score | `1,490,805,286` | -| average executed Toffoli | `1,291,859.302` (`1,291,859` rounded) | -| total executed Toffoli | `11,657,738,337` over `9,024` shots | -| qubits | `1,154` | -| emitted operations | `9,062,420` | -| compressed `ops.bin` SHA-256 | `7333b19de3f3171a70d1b5132e867b7fb28cd5d77b34668175b391c420eed8c9` | -| canonical decompressed-operation SHA-256 | `ec90afeadf8d294819e1e2128764c9da8d0742730c09d4ac1ae19d3b1a99dfba` | -| official result | `9,024/9,024`; zero classical, phase, and end-of-forward ancilla failures | - -The trusted scorer is - -\[ -S(T,Q)=\min(\lfloor T+0.5\rfloor Q,2^{64}-1). -\] - -`T` is the verifier's average executed Toffoli count and `Q` is `max referenced qubit id + 1`; neither emitted gate -count nor live-qubit count substitutes for these values. Only a byte-identical artifact or a complete `ecdsafail run` -is transfer evidence. See `repro/exact_scorer.py` and `04-traps.md`. - -The verifier accepts exactly four 256-bit registers typed quantum/quantum/classical/classical, all affine outputs -correct, zero residual phase, and zero non-output qubits after the forward pass. The operation cap is four billion. -The ABI alone gives `Q >= 512`; no nontrivial global Toffoli lower bound was proved. - -## Status vocabulary - -- **Established:** proof, exact enumeration, or exhaustive replay within the stated scope. -- **Observed:** measured on named artifacts/seeds; not a theorem. -- **Refuted:** a preregistered prediction received a concrete counterexample. -- **Unresolved:** neither a witness nor a lower-bound certificate exists. Timeout is not evidence of UNSAT. -- **Relaxation:** an oracle or assumption used only to price headroom, not an implementation. - -## Established scoped results - -### 1. The standalone five-wire pair normalizer needs exactly six CCX in the tested class - -`compress_2sym_fast` feeds `NORMALIZER_OPS` 25 distinct five-wire states, not five raw three-bit symbols. On those 25 -states the normalizer maps bijectively to canonical values `0..24`. - -For the class **no ancilla, arbitrary affine gates, and affine-conjugated CCX gates on those five wires**, every CCX is -one reversible generalized shear. Exhaustive quotient search produced: - -- input depth-two frontier: `913,220` states; -- output depth-two frontier: `908,804` states; -- exactly one shared rank-five hyperplane pair; -- all `420` admissible independent affine-control products on that hyperplane rejected as a bridge; -- no path of five or fewer generalized shears; -- the shipped six-shear reference independently replayed through pinned Kissat and CaDiCaL SAT witnesses. - -Therefore the exact minimum is **six CCX in this class**. This is not a global normalizer bound: ancillas, non-affine -intermediate representations, or absorbing surrounding compressor logic are outside scope. Do not rerun a standalone -at-most-five search unless the gate/representation class changes. - -Reproducer sources: `repro/y5_pair25_quotient.py`, `repro/hyperplane_mitm.cpp`, -`repro/y5_normalizer_synth.py`. - -### 2. Two one-shear neighborhoods of the joint six-wire codec are closed - -The useful broader map combines `compress_2sym_fast` with `NORMALIZER_OPS`. Its verified reference costs eight CCX -forward and nine CCX in the reversible cleanup. It replays all 64 six-wire states, including all 25 reachable inputs, -and has an explicitly invertible affine output map. - -For exact-eight synthesis: - -- all `8/8` branches replacing one adjacent pair of the nine reference shears by one arbitrary shear are UNSAT; -- all `288/288` branches retaining seven reference shears and inserting one arbitrary shear are UNSAT; the sole initial - timeout was independently settled UNSAT by Kissat and CaDiCaL. - -These are class results around the shipped reference, not a global eight-CCX lower bound. Reproducers: -`repro/y5_joint_codec_neighborhood.py` and `repro/y5_joint_codec_two_rebase.py`. - -### 3. Small-width composite controlled arithmetic did not expose a gain - -For the restricted `n=3` GCD cswap-plus-controlled-subtract map (`u` odd, `v0=t`, `s=>t`), exact XOR/AND synthesis -settled multiplicative complexity at five: bounds zero through four were UNSAT and five was SAT in both Kissat and -CaDiCaL. That equals the reference. This refutes this small branch as an immediate optimization surface; it does not -prove the large-width optimum. Reproducer: `repro/y1_composite_synth.py`. - -### 4. Whole-dialog information slack exists, but no usable streaming codec is known - -With fixed initial `u=p`, the exact complete dialog and terminal state identify one input `x`; all `p-1` inputs give -distinct dialogs. The exact information rank is 256 bits versus the current 609-bit representation, a 353-bit -information gap. This is only an information bound. No reversible streaming rank/unrank construction was found that -keeps the apply traversal below the current peak. The naive endpoint construction regenerates the full tape and saves -zero peak qubits. Reproducer: `repro/y3_global_codec.py`. - -### 5. One source-level implication is exact but already represented empirically - -Before `controlled_clean_add_threaded` call 0, bit 0, in the no-carry branch, the source state implies the redundant -control. Two solvers proved the violating assignment UNSAT before and after an identity perturbation. Replacing that -specific CCX with CX is sound, but it merely reproduced one existing empirical downgrade: the emitted artifact and -score stayed byte-identical. The important reusable result is methodological: source-indexed certificates survive -same-tuple ordinal shifts that invalidate persistent census keys. Further work must find *new* source implications, not -re-encode existing table entries. - -## Refuted or exhausted approaches - -| approach | decisive result | implication | -|---|---|---| -| Five raw-symbol normalizer restriction | After rebasing its stale key, the official verifier failed `9,024/9,024` classical shots and all `141` phase batches. | The true domain is the 25 post-compressor five-wire states. | -| Direct terminal-carry reuse | Isolated miter passed 2,736 cases and predicted one CCX saved per call; production official run failed 24 classical shots and 15 phase batches. Individual GCD, less-than, and carry surfaces also produced trusted counterexamples. | The isolated phase/value abstraction was not compositional. | -| Four-bit terminal dialog codec | Tape bits fell 609→605, but peak qubits stayed 1,154 and final CCX rose by 8,038; break-even was 4,493. Support-miss rate was about `3e-4`. | Statically product-negative and not exact. | -| Final CCX self-inverse cancellation | Exact strict-clean and net-restore analyzers both found zero pairs in 9,073,163 pre-strip operations. | Do not rerun these same-tuple pair classes. | -| Deep-strip localization | On a committed root, full and completely unstripped streams had the identical 13 classical failure shots; restoring all final empirical transforms cost 12,803.278 executed Toffoli. | Transfer failures originate upstream, not in the final deep-strip table. | -| Coordinate ports | No tested ABI-compatible representation cleared its qubit-specific Toffoli cap. The strongest local `Q=835` case already required 6,443,568 Toffoli for two inversions before shell cost, versus a cap of 1,785,395. | A new representation needs a complete four-register-compatible cost, not a qubit claim alone. | -| Perfect coordinate-shell oracle | Granting the measured shell zero cost would save about 1,600 executed Toffoli and lower score by 1,846,400 (`1,488,958,886`). | Headroom exists, but the oracle supplies no reversible implementation. | -| More nonce grinding | The current artifact's pooled nonce Toffoli SD was 8.694 over 384 disjoint draws; correctness success remains exponentially rare on ordinary seeds. | Nonce outcomes select artifacts but do not create transferable structural gain. | - -The coordinate-shell score delta is exactly `1,846,400`: `1,490,805,286 - 1,488,958,886`. The displayed oracle is a -relaxation, not a candidate. - -## Open problems — do not overstate the stop - -### Unrestricted exact-eight joint synthesis remains open - -The exact-eight CNF had 11,416 variables and 54,051 clauses. Kissat, CaDiCaL, and diversified CryptoMiniSat runs timed -out or exited indeterminate. No witness was found, but there is **no UNSAT proof**. All seven branches replacing a -contiguous reference triple by at most two arbitrary shears also remain unresolved. - -The run stopped at its preregistered two-local-CPU-hour cap (`7,113.268` conservatively charged seconds), not because a -theoretical ceiling or abstraction impossibility was demonstrated. Repeating the same CNF and solver portfolio had low -expected return. Reopen with one of: - -1. a machine-checkable symmetry reduction; -2. a materially stronger exact encoding; -3. a distinct synthesis representation or gate class; -4. a compiled exact-eight witness that replays all 25 forward/inverse pairs. - -Do not describe the generalized-shear abstraction as globally saturated: only the two named neighborhoods and the -standalone five-wire class are closed. - -### Other high-leverage uncertainties - -1. Controlled quantum addition has a proven `n` lower bound and a roughly `2n` construction; the factor-two gap remains. -2. A streaming exact dialog ranker could exploit a large information gap only if its rank/unrank logic and live set beat - the current product. -3. New source-state implications can outperform ordinal census keys only when they remove gates not already downgraded. -4. Any low-qubit representation must price both inversions, affine-output cleanup, four-register ABI compatibility, and - executed—not emitted—Toffoli. -5. The current representation's oracle floor `(T,Q)=(132,864,1,022)` and score `135,787,008` is a deliberately impossible - relaxation: it grants perfect arithmetic outside retained swaps and releases 132 peak owners. It maps headroom; it - is not an attainable design. - -## Re-entry commands - -Run all lightweight retained checks first: - -```sh -python3 -m unittest discover -s src/point_add/memory/repro -p 'test_*.py' -v -python3 src/point_add/memory/repro/exact_scorer.py --backtest results.tsv -``` - -Regenerate the pair25 depth-two frontiers only when auditing the exact-six proof; this is intentionally expensive and -creates transient `.autoresearch/` output: - -```sh -python3 src/point_add/memory/repro/y5_pair25_quotient.py \ - --output .autoresearch/measurements/pair25/report.json \ - --frontier-dir .autoresearch/measurements/pair25 -clang++ -std=c++20 -O3 -DNDEBUG src/point_add/memory/repro/hyperplane_mitm.cpp \ - -o .autoresearch/measurements/pair25/hyperplane_mitm -.autoresearch/measurements/pair25/hyperplane_mitm \ - .autoresearch/measurements/pair25/x-depth2.bin \ - .autoresearch/measurements/pair25/y-depth2.bin -``` - -For a genuinely improved joint encoding, start from `repro/y5_joint_codec_synth.py`; the three neighboring scripts -encode the already-tested subclasses. Any SAT witness must be compiled, replayed forward and inverse on all 25 valid -pairs, then passed to the untouched official court: - -```sh -ecdsafail run -``` - -Never submit from a proxy result. Never treat a timeout as a lower bound. Re-run `ecdsafail benchmark` and -`ecdsafail sync` before new work because the promoted frontier can move. - -## Retained files - -| file | purpose | -|---|---| -| `repro/exact_scorer.py` | exact score arithmetic and historical backtest | -| `repro/y1_composite_synth.py` | reusable XOR/AND CNF support plus the scoped `n=3` experiment | -| `repro/y3_global_codec.py` | exact dialog-rank and bounded suffix experiments | -| `repro/y5_normalizer_synth.py` | five-wire generalized-shear encoding and reference compiler | -| `repro/y5_pair25_quotient.py` | exact depth-two affine-quotient frontier generator | -| `repro/hyperplane_mitm.cpp` | exact fifth-edge bridge checker for the pair25 proof | -| `repro/y5_joint_codec_synth.py` | unrestricted joint six-wire exact synthesis encoding | -| `repro/y5_joint_codec_{neighborhood,two_rebase,triple_fusion}.py` | closed and unresolved local subclasses | -| `repro/y6_source_invariant.py`, `repro/artifact_io.py` | source-indexed invariant proof utility | -| `repro/test_*.py` | fast contracts for the retained machinery | - -Everything else from the research harness was operational scaffolding or bulky evidence. It was removed after these -scoped conclusions, counterexamples, hashes, and reproducers were retained. \ No newline at end of file diff --git a/src/point_add/memory/2026-06-06-tony-anton-audit-loop.md b/src/point_add/memory/2026-06-06-tony-anton-audit-loop.md new file mode 100644 index 00000000..638ba3b6 --- /dev/null +++ b/src/point_add/memory/2026-06-06-tony-anton-audit-loop.md @@ -0,0 +1,132 @@ +# Tony + Anton Audit Loop + +Status: active solver process for ECDSA.fail. + +Purpose: keep optimization work from turning into blind brute force or polished-but-unsupported submission prose. The loop adapts the local Obsidian Tony/RCI pattern (`inspect -> diagnose -> cite evidence -> explain impact -> suggest smallest fix`) and the Anton positioning pattern (`claim stack -> role safety -> product/technical claim hygiene -> positioning fit -> prose/actionability`) to this benchmark. + +## Frontier Snapshot + +Local CLI checks on 2026-06-06 showed submission `a66b042` promoted as the current frontier with score `1,967,891,695`, from average executed Toffoli `1,503,355` and peak qubits `1,309`. The accepted route narrows `DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS` to `20` and uses `DIALOG_TAIL_NONCE=721381`. Treat that as the baseline until `ecdsafail submissions --all` or `ecdsafail sync` proves otherwise. + +## Required Loop + +1. Sync frontier: + - Run `ecdsafail submissions --all`. + - Read the latest winning submission note. + - Run `ecdsafail sync` if the promoted best moved. +2. Tony pre-change audit: + - Problem: the exact waste, risk, or contradiction. + - Evidence: file/function/env knob, current metric, prior note, or benchmark result. + - Why it matters: expected Toffoli, qubit, correctness, phase, or cleanup impact. + - Source check: compare against harness invariants and current promoted best. + - Smallest useful fix: one bounded change only. +3. Implement the smallest useful fix. +4. Validate: + - Full candidate: `./benchmark.sh`. + - Fast probe: direct `build_circuit` / `eval_circuit`, with exact environment and nonce recorded. + - Always record score, average Toffoli, peak qubits, classical mismatches, phase failures, and ancilla failures. +5. Tony post-run audit: + - Confirm or reject the hypothesis with metrics. + - Classify failures as structural, Fiat-Shamir/tail-search-sensitive, or measurement noise. + - Stop brute force when failures repeat without a source-backed reason. +6. Anton submission audit: + - Claim stack: exact change, exact score, exact validation status, exact caveat. + - Role safety: keep ECDSA.fail, Eigen/Google, StarkWare, Starknet, and SNF roles distinct. + - Claim hygiene: do not claim ECDSA is practically broken today or that a system is fully post-quantum safe. + - Positioning fit: this is a quantum-circuit optimization benchmark and durability-measurement signal. + - Prose/actionability: public note must help future solvers reproduce the result or avoid the dead end. +7. Submit only after the Anton gate passes and the audited score beats the current frontier. + +## Current Tony Finding + +`DIALOG_GCD_COMPARE_BITS=48` looked attractive because it reduced average executed Toffoli from `1,504,903` to `1,504,759` in local failed probes, but repeated known-clean nonce probes still produced classical mismatches and phase failures. That makes it an unproven structural or cleanup-sensitive candidate, not a tail-nonce-only win. + +Smallest useful next fix: inspect the compare-screen correctness boundary and supporting cleanup assumptions before running more nonce brute force. If there is no source-backed reason why `48` can be made safe, return to the `49`-bit frontier and search a different bounded hypothesis. + +## Current Validated Improvement + +Tony pre-change audit selected `DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS=21` because the latest shared note and local trace showed a pure `-516` average executed Toffoli cut at unchanged `1,309` peak qubits. The inherited nonce `251235` failed (`9` classical mismatches, `5` phase batches), so the local GCD pre-filter was used to hunt survivors. Candidate nonce `58422` was GCD-clean but failed full quantum validation with `1` classical mismatch. Candidate nonce `280321` was GCD-clean but failed with `2` classical mismatches and `1` phase batch. Candidate nonce `431581` validated clean over all `9,024` shots. + +Validated result: `1,503,871` average executed Toffoli × `1,309` qubits = score `1,968,567,139`, with `0` classical / `0` phase / `0` ancilla failures. + +Submission `436b516` promoted at 2026-06-06 08:44 local time. It beat the previous observed promoted frontier `83e3b66` (`1,968,793,475`) by `226,336` score points. + +Public correction note `5ec74c1` records that the original submission prose had arithmetic typos in the displayed score and frontier delta; the CLI claimed score, metrics, validation result, and promoted leaderboard result were correct. + +## Promoted Successor Frontier + +External submission `a66b042` by `jackylee0424` promoted after `436b516`. Public note: apply-clean comparator tightened to `20` with refreshed tail nonce `721381`, validated `0` classical / `0` phase / `0` ancilla over all `9,024` shots at `1,309` qubits × `1,503,355` average Toffoli = score `1,967,891,695`. Local `./benchmark.sh --note 'validate synced a66 frontier'` reproduced the same `0/0/0` result. + +## Current Search Audit + +2026-06-06 continuation tested three bounded follow-up hypotheses. None produced a submit-ready improvement yet: + +- `1285q` restack from submission `83e3b66` plus `DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS=21`: structural probe was `1,531,619` average Toffoli × `1,285` qubits = score `1,968,130,415`, which would beat `436b516` by `436,724` if clean. Nonce `0` failed full eval with `18` classical mismatches and `7` phase batches. Staged GCD search found `320` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter. +- `DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS=20` with `DIALOG_GCD_COMPARE_BITS=50`: structural probe was `1,503,463` average Toffoli × `1,309` qubits = score `1,968,033,067`, which would beat `436b516` by `534,072` if clean. Nonce `0` failed full eval with `11` classical mismatches and `6` phase batches. Staged GCD search found `278` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter. +- `KAL_FOLD_CARRY_TRUNC_W=20`: structural probe was `1,503,355` average Toffoli × `1,309` qubits = score `1,967,891,695`, which would beat `436b516` by `675,444` if clean. Inherited nonce failed full eval with `15` classical mismatches and `5` phase batches. Staged GCD search found `260` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter. + +Tony post-run classification: these remain structurally attractive but nonce-island-limited. The sampled failures are full-GCD width/nonconvergence rejections, not branch-comparator mismatches. A next pass should either cover much more nonce space with a faster full-shot filter or find a source-backed way to reduce width/nonconvergence pressure without crossing a qubit break-even cliff. + +Public standalone note `6b2eea8f` shares this negative evidence for the collaborative solver pool. + +## Second Continuation Audit + +2026-06-06 later continuation added four more bounded checks: + +- Fast filter tooling: built `/tmp/ecdsafail-fast-filter` using native `secp256k1` generator multiplication and point addition. Cross-check against the original `k256` filter on the same `1285q`/`COMPARE_BITS=48` route and nonce range produced identical `512`-shot hit lists, so the faster tool is acceptable for search triage. +- `KAL_FOLD_CARRY_TRUNC_W=20` with `DIALOG_GCD_WIDTH_SLOPE_X1000=1013`: structural probe was `1,503,835` average Toffoli × `1,309` qubits = score `1,968,520,015`, barely under the frontier by `47,124`. Nonce `0` failed full eval with `275` classical mismatches and `79` phase batches. The `512`-shot scout found `32` early candidates, but all failed at `2,048` shots; `1012` and `1011` were structurally too expensive. +- Current `1309q` route with `DIALOG_GCD_COMPARE_BITS=48`: structural probe was `1,503,727` average Toffoli × `1,309` qubits = score `1,968,378,643`. Nonce `0` failed full eval with `17` classical mismatches and `10` phase batches. Staged search found `300` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter; known clean nonces from adjacent routes did not transfer. +- `1285q` restack from `83e3b66` with `DIALOG_GCD_COMPARE_BITS=48`: structural probe was `1,531,883` average Toffoli × `1,285` qubits = score `1,968,469,655`. Nonce `0` failed full eval with `9` classical mismatches and `3` phase batches. Staged search found `290` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter. Known clean nonces did not transfer; a short direct full-shot search with the fast filter over spaced ranges found no clean nonce before being stopped. +- `DIALOG_GCD_APPLY_FINAL_WINDOWED_FAST_BLOCKS=3/4`: exact but structurally worse. Blocks `3` gave `1,520,899` average Toffoli; blocks `4` gave `1,537,927`, both at `1,309` qubits, so this is not a viable near-frontier path. + +Tony post-run classification: every attractive near-frontier route is still bottlenecked by full-shot GCD width/nonconvergence, with comparator mismatches not showing up in the sampled filter rejects. The next useful work is either a genuinely faster full-shot nonce search or a structural qubit-floor change; small Toffoli cuts are now mostly island-limited. + +## Post-a66 Search Audit + +After syncing to `a66b042`, three immediate one-bit successors were probed from the new frontier. None produced a submit-ready improvement yet: + +- `DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS=19`: structural probe was `1,502,839` average Toffoli × `1,309` qubits = score `1,967,216,251`, which would beat `a66b042` by `675,444` if clean. Nonce `0` failed full eval with `17` classical mismatches and `14` phase batches. Staged search found `305` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter. +- `KAL_FOLD_CARRY_TRUNC_W=20`: structural probe was also `1,502,839` average Toffoli × `1,309` qubits = score `1,967,216,251`. Nonce `0` failed full eval with `18` classical mismatches and `10` phase batches. Staged search found `314` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter. +- `DIALOG_GCD_COMPARE_BITS=48`: structural probe was `1,503,211` average Toffoli × `1,309` qubits = score `1,967,703,199`, which would beat `a66b042` by `188,496` if clean. Nonce `0` failed full eval with `11` classical mismatches and `7` phase batches. Staged search found `323` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot GCD filter. + +Tony post-run classification: after `a66b042`, the next one-bit cuts are again structurally attractive but full-shot GCD-island-limited. The sampled rejects remain width/nonconvergence, with no comparator mismatches in these filter passes. + +## Post-a66 Extended Audit + +2026-06-06 follow-up checked whether the old `1285q` qubit-floor route or a shorter active-iteration schedule could pair with the `a66b042` apply-clean frontier. Neither produced a submit-ready improvement: + +- `1285q` restack from `83e3b66` plus `DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS=20`: structural probe with `DIALOG_GCD_COMPARE_BITS=50` was `1,531,103` average Toffoli × `1,285` qubits = score `1,967,467,355`, beating `a66b042` by `424,340` if clean. Nonce `0` failed full eval with `13` classical mismatches and `5` phase batches. Staged GCD search found `285` candidates that passed `2,048` shots, but `0` passed the full `9,024`-shot filter; known adjacent clean nonces did not transfer. +- `1285q` restack plus apply-clean `20` and `DIALOG_GCD_COMPARE_BITS=48`: structural probe was `1,530,851` average Toffoli × `1,285` qubits = score `1,967,143,535`, beating `a66b042` by `748,160` if clean. Nonce `0` failed full eval with `12` classical mismatches and `6` phase batches. Staged GCD search again found `285` candidates passing `2,048` shots, but `0` passed all `9,024` shots; known nonces still did not transfer. +- Split `1285q` levers were not independently viable: `shiftOnly` gave `1,507,999` average Toffoli × `1,308` qubits = score `1,972,462,692`, `suffixOnly` kept `1,309` qubits with `1,526,063` average Toffoli, and disabling both returned to the current `1309q` control. This suggests the old `1285q` win needs the coupled restack, not a single transplantable lever. +- `DIALOG_GCD_ACTIVE_ITERATIONS=257`: structural probe was `1,500,368` average Toffoli × `1,309` qubits = score `1,963,981,712`, beating `a66b042` by about `3.89M` if clean. Nonce `0` failed full eval with `13` classical mismatches and `9` phase batches. Staged GCD search found `132` candidates passing `2,048` shots, but `0` passed all `9,024` shots; full rejects were dominated by nonconvergence (`102`) plus width (`30`). + +Tony post-run classification: `ACTIVE_ITERATIONS=257` is the largest structural prize but appears to create a nonconvergence floor, while the `1285q` + apply-clean route remains width/nonconvergence island-limited. Future work should prioritize source-backed convergence or width relief before wider blind nonce sweeps. + +## Current Validated Successor + +Tony pre-change audit found an exact slack-spend route: `DIALOG_GCD_APPLY_FINAL_LOWQ=0` with `DIALOG_GCD_APPLY_FINAL_WINDOWED_FAST_BLOCKS=0` removes the final apply chunk's low-q/windowed carry overhead while the global peak remains bound by `round84_fused_square_xtail_dx_sub_lam_square_lowq` at `1,309` qubits. The raw fast-final route at active `258` had structural target `1,486,327` average Toffoli × `1,309` qubits = score `1,945,602,043`, but the inherited nonce failed with `19` classical mismatches and `8` phase batches, and the first `500` two-thousand-shot GCD survivors produced no full `9,024`-shot GCD hit. + +Smallest useful fix: spend part of that recovered Toffoli budget on convergence by setting `DIALOG_GCD_ACTIVE_ITERATIONS=262`, keeping `DIALOG_GCD_WIDTH_MARGIN=10` and `DIALOG_GCD_WIDTH_SLOPE_X1000=1014`. Active `262` stays at `1,309` peak qubits and structural target `1,497,795` average Toffoli. Current nonce `721381` still failed (`7` classical mismatches and `4` phase batches), but the GCD prefilter became much denser: + +- `500` candidates passed the `2,048`-shot filter by nonce `2620`. +- `93` of those passed `4,096` shots. +- `6` passed `8,192` shots: `614`, `1328`, `1718`, `2148`, `2432`, `2499`. +- `4` passed all `9,024` GCD shots: `1328`, `2148`, `2432`, `2499`. + +Quantum confirmation results: + +- `1328`: GCD-clean but failed with `1` phase-garbage batch. +- `2148`: GCD-clean but failed with `1` classical mismatch and `2` phase-garbage batches. +- `2432`: validated clean over all `9,024` shots with `0` classical / `0` phase / `0` ancilla failures. +- `2499`: GCD-clean but failed with `1` classical mismatch and `2` phase-garbage batches. + +Validated result: `1,497,795` average executed Toffoli × `1,309` qubits = score `1,960,613,655`, beating `a66b042` by `7,278,040` score points. Local official path `./benchmark.sh --note 'validate lowq0 active262 nonce2432'` reproduced the clean result and wrote `score.json` with the same score. + +## Public Note Checklist + +- Include model and agent context. +- Include exact files or knobs changed. +- Include exact benchmark command and score. +- Include validation counts and caveats. +- Include one useful next lead or one dead end to avoid. +- Do not include API keys, private Obsidian prose, local-only account details, or unsupported strategic claims. diff --git a/src/point_add/memory/2026-06-07-measured-frontier-leads.md b/src/point_add/memory/2026-06-07-measured-frontier-leads.md new file mode 100644 index 00000000..acf74306 --- /dev/null +++ b/src/point_add/memory/2026-06-07-measured-frontier-leads.md @@ -0,0 +1,279 @@ +# Measured frontier leads (2026-06-07, build_circuit traces) + +Supersedes the speculative parts of `2026-06-07-structural-breakthrough-leads.md`. +**Correction:** that note claimed round84 was the peak binder. It is not — measured +peak is the GCD walk (`reverse_add`/`shift`); round84 sits 18 q below peak. + +## How these numbers were taken (measured, not estimated) + +Two `build_circuit` runs on the configured tier-3 route (no extra env beyond +`configure_ecdsafail_submission_route`): +- `TRACE_PHASES=1` → emitted CCX per phase. **Total emitted CCX = 1,456,963**, + total ops = 9,767,086. This equals the scored avg executed Toffoli exactly + (no classically-conditioned CCX in this route), so emitted CCX = score numerator. +- `POINT_ADD_COUNT_ONLY=1 TRACE_PHASE_ACTIVE=1` → per-phase live-qubit maxima. + **Peak = 1302.** + +Per the user's request, no further runs were taken. Anything I could not derive +from these two traces + the source is marked **[needs run]** with the exact probe. + +## Measured peak floor map (live qubits per phase) + +| phase | active_q | +|---|---| +| `compressed_block_tobitvector_reverse_add` | **1302** ← binder | +| `compressed_block_tobitvector_shift` | **1302** ← binder (idle scratch, see B) | +| `compressed_block_tobitvector_compress_block` | 1301 | +| `compressed_block_tobitvector_reverse_cswap` (impl.) / `apply_chunk_{add,sub}_final_ripple` | 1299 | +| `raw_pa_x_restore`, `round84_fused_square_xtail_add_double_ox` | 1285 | +| `round84_inplace_solinas_square_{forward,inverse}` | 1284 | + +Consequence: the next 3 q of peak (1302→1299) are **GCD-walk-only**. Below 1299 you +must *also* cut `compress_block` (1301) and the chunked apply (1299). round84 (1284) +is irrelevant to score until peak drops below 1284. + +## Measured Toffoli by category (emitted CCX, = score numerator) + +| category | CCX | % | width basis | +|---|---|---|---| +| apply mod add/sub (chunked, both GCDs) | 363,780 | 25.0 | full 256 + chunk boundary clears | +| GCD body sub/add (`materialized_*_{load,body}`) | 275,016 | 18.9 | active_width (band-trimmed) | +| **cswap total** | **271,744** | **18.7** | tobitvector 139,648 (active_width) + apply 132,096 (**full 256**) | +| apply `double_y`+`halve_y` (K2 2nd double/halve, mod p) | 168,216 | 11.5 | full mod-p Solinas | +| tobitvector `shift`+`unshift` (K2 2nd shift) | 139,648 | 9.6 | active_width | +| round84 square fwd+inv | 131,582 | 9.0 | (peak 1284, slack) | +| branch_bits fwd+rev | 40,752 | 2.8 | compare_bits schedule | + +Within the apply mod add/sub: `boundary_clear` = 99,588 (6.8%) is pure chunking +overhead (value-exact for any cut), the rest (264k) is the real per-step y+=x mod p. + +--- + +# Leads, in the four requested areas + +Format per lead: **files/fns · env · ΔT · Δpeak/phase · correctness · island**. + +## A. `DIALOG_GCD_SHIFT_BAND_TRIMS` — small Toffoli knob, **peak-neutral** + +1. **Files/fns:** `dialog_gcd_shift_band_trim` (rounds/dialog/mod.rs:208), + `dialog_gcd_k2_shift_active_width` (mod.rs:229); consumers + compressed.rs:809-824 (forward 2nd shift) and :938-953 (reverse un-shift). +2. **Env:** `DIALOG_GCD_SHIFT_BAND_TRIMS` (currently unset = OFF). Accepts a + per-band list OR the literal `body` (reuses `BODY_CARRY_BAND_TRIMS`). +3. **ΔT:** the trimmed phases total 139,648 CCX. Each band trims `w` bits off the + `(k2_shift_active_width-1)` cswap cascade → saves `Σ_step w(step)` per + (GCD,direction), ×2 directions ×2 GCDs. With `=body` (schedule + `0,3,3,3,3,3,1×17,3,3,3`, band_size 10): Σw ≈ 404 ⇒ **≈ −1,600 CCX (−0.11 %)**. + Beyond-body costs ~1,032 CCX per extra bit-of-trim across all 258×4 slots. +4. **Δpeak:** **0.** The shift phase peaks (1302) because the per-step composite + scratch is still live (freed only at step end), *not* because of shift width. + Narrowing the shift does **not** touch peak. → This knob is the wrong tool for + the "reduce reverse_add/shift peak" goal; it is a pure (small) T lever. +5. **Correctness:** untested. Value-exact requires realizable bitlen ≤ + `aw − w − 1` at each trimmed step (one bit tighter than the body trim, because + the truncated cascade leaves `v[aw-w-1]` unshifted where the true shift would + zero it). So `=body` is **1 bit too aggressive** at the boundary. +6. **Island:** `=body` adds a thin hazard class (inputs with realizable bitlen + exactly `aw−w` at a trimmed step) → current nonce 11201395269 may not survive; + cheap re-hunt. **Island-free variant:** schedule = `body − 1` per band (floored + at 0), e.g. `0,2,2,2,2,2,0×17,2,2,2` ⇒ shares the body premise exactly, keeps + the nonce, but only ≈ −850 CCX. Honest verdict: real but ≤0.1 %. + +## B. Reduce the GCD-walk peak (`reverse_add`/`shift`) — the only score-multiplier lever + +The peak is `u(256)+v(256)+compressed_log+raw_block+owned`, where +`owned = b.alloc_qubits(want − borrowed)` in `dialog_gcd_build_composite_scratch` +(compressed.rs:352-468), `want = 2·body_len − 1`. The binder is the step whose +`owned` is largest. round84/apply are below, so −1 q here = −1 q global = +−1,456,963 score (≈ 0.077 %/q; one q ≈ 13 of the recent nonce submissions). + +**B1 — binder notch (the proven mechanism, already wired):** +1. **Files/fns:** `dialog_gcd_binder_notch_steps`/`_extra` (mod.rs:262,273) feed + `dialog_gcd_body_carry_trunc_width` (mod.rs:256-258) → shrinks `body_w` → + `body_len` → `want` → `owned` at the listed steps. (The existing + `trio_width_notch` step 11 extra 2 is the same trick, already on.) +2. **Env:** `DIALOG_GCD_BINDER_NOTCH_STEPS=`, `DIALOG_GCD_BINDER_NOTCH_EXTRA=1`. +3. **ΔT:** ≈ −2 CCX per notched step per GCD-pass it touches (body+cswap-if-also-trimmed). Negligible. +4. **Δpeak:** −`EXTRA` at the binder step **iff** that step is the unique + `max(owned)` step. **[needs run]** `PROBE_SCRATCH=1` (compressed.rs:454, prints + `owned` for active_width ≥ 254) → take the `step` with max `owned`; that is the + binder. Then notch it by 1 and re-`TRACE_PHASE_ACTIVE` to confirm 1302→1301. + If two steps tie at max, notch both. +5. **Correctness:** untested. Value-exact on reachable support (top `EXTRA` extra + bits of u,v are |0> by the same realizable-bitlen bound the body trim uses), + identical hazard *kind* to the accepted route. +6. **Island:** deeper trim at one step ⇒ new straggler inputs ⇒ **needs a fresh + `DIALOG_TAIL_NONCE`** (re-hunt with the GPU/CPU GCD prefilter, then 9024 eval). + Density comparable to the existing band-trim islands (~1/108 of GCD-survivors + per the 2026-06-06 note), so tractable. + +**B2 — one more borrow lane (island-free if it lands):** +1. **Files/fns:** the borrow sources in `build_composite_scratch` (future-log, + current-block cells, `v[aw..]`, `u[aw..]`, current `s2`, sibling `s2`). At the + binder step (early, wide `aw`) `u[aw..]`/`v[aw..]` are nearly empty, so `owned` + is the deficit vs the future-log runway. +2. **Env:** none new — needs code: an additional provably-|0> idle source folded + into `push(...)`. Candidates to check at the binder step: the *next* block's + not-yet-written compressed cells (beyond current-block), or `b0`/`b0_and_b1` + raw cells of already-compressed earlier slots in the same block. +3. **ΔT:** 0 (pure relabel). +4. **Δpeak:** −1 if it converts one `owned` lane to borrowed at the binder step. **[needs run]** PROBE_SCRATCH to confirm a clean |0> lane exists there. +5. **Correctness:** value-exact-always if the borrowed cell is provably |0> across + the step window and restored (it is, by the measured uncompute) — then **no FS + hazard at all**, nonce 11201395269 survives. +6. **Island:** unchanged (island-free) — this is the preferred peak cut if a lane exists. + +**B3 — note:** freeing `composite_scratch.owned` *before* the forward `shift` +(it is idle there, compressed.rs:826) drops the forward `shift` phase off 1302 but +**not** the global peak, because `reverse_add` (compressed.rs:956-985) genuinely +needs the scratch. So B3 alone = 0 score; only B1/B2 move the global peak. + +## C. Partial cswap reduction (271,744 CCX = 18.7 %) + +**C1 — tobitvector cswap band-trim (island-free, small):** +1. **Files/fns:** the cswap loops compressed.rs:796-802 (fwd) and :987-993 (rev) + run at **full active_width**; the body sub/add beside them already trims to + `aw − body_trim` (mod.rs:188 explicitly leaves "cswap and comparator at full + active_width"). Add a width clamp = `dialog_gcd_body_carry_trunc_width(aw,step)` + to the cswap loop bound. +2. **Env:** reuse `DIALOG_GCD_BODY_CARRY_BAND_TRIMS` (no new flag) so the cut ≤ + the body's own assumption. +3. **ΔT:** −Σ body_trim per (GCD,dir) on the 139,648 tobitvector-cswap CCX ≈ + **−1,600 CCX (−0.11 %)**. +4. **Δpeak:** 0 (cswap is in-place Fredkin, no scratch). +5. **Correctness:** untested but **value-exact by the body trim's own premise** + (the swapped high bits are the bits the body already assumes are |0>; swapping + |0>↔|0> is identity). +6. **Island:** **island-free** — same premise as the accepted body trim, nonce + 11201395269 survives. This is the one cswap cut that is genuinely free; take it. + +**C2 — apply cswap (132,096 CCX) is NOT trimmable:** compressed.rs:1106-1108 and +:1146-1148 swap the full 256-bit residues x↔y (Montgomery accumulator pair); they +are not bit-length-bounded, so there is no value-exact truncation. Any reduction +here needs the swap *fused into* the `cadd`/`csub` (a real redesign of +`apply_bitvector`), which is **research, not a measured frontier knob** — flagged, +not claimed. + +## D. Low-qubit round84 square — **no score lever at current peak** + +1. **Files/fns:** `round84_emit_fused_square_xtail` (rounds/dialog/mod.rs:14) → + `squaring_sub_from_acc_schoolbook_lowq_shift22` under `ROUND84_INPLACE_SOLINAS_FOLD`. +2. **Env:** `ROUND84_INPLACE_SOLINAS_FOLD=1` (on), `ROUND84_XTAIL_KARATSUBA`, + `ROUND84_XTAIL_WALK_SQUARE`. +3. **ΔT:** the known faster square (Karatsuba) is −16,272 CCX **but** needs the + `z1_reg` (~258 q). +4. **Δpeak:** round84 is at **1284 (18 q slack)**. Karatsuba's +258 q ⇒ 1284+258 ≫ + 1302 ⇒ becomes the binder. Does **not** fit the 18 q headroom. There is no known + square variant that trades **≤18 q** for a Toffoli cut (the in-place fold is + already the low-q schoolbook; the symmetric/fast variants are T-identical and + only differ in carry-lane hosting). +5. **Correctness:** n/a — nothing to change. +6. **Verdict:** round84 cannot improve score until the GCD-walk peak drops below + 1284. Deprioritize, exactly as the user's "only if peak stays under 1302" gate + implies. (If a sub-18-q-overhead square speedup is ever found it would be a free + −T, since round84 has the headroom — but none is known.) + +--- + +## Honest bottom line + +On the current frontier the measurable, value-exact knobs are all small: +- **C1 (tobitvector cswap trim to body width):** ≈ −1,600 CCX, peak-neutral, + **island-free, keep nonce.** Take it first — zero risk. +- **A island-free shift trim:** ≈ −850 CCX, peak-neutral, island-free. +- **B1 binder notch −1 q:** ≈ −1,456,963 score (the biggest single move), but + **[needs run]**: PROBE_SCRATCH to find the binder step, then a nonce re-hunt. +- **B2 extra borrow lane −1 q:** same score move, **island-free if a |0> lane + exists** at the binder step — strictly better than B1 if it lands. + +Everything ≥1 % (apply mod-add 25 %, GCD body 18.9 %, apply cswap, double/halve) +is bound to a real redesign, not an env knob, and is out of scope for +"measured current-frontier." The combined safe set (C1 + A-island-free + one +peak q via B2) is ≈ −2,450 CCX **and** −1 q ⇒ +1301 × 1,454,500 ≈ 1,892,304,500, beating 1,896,965,826 by ≈ 4.66 M (0.25 %), +**without changing the Fiat-Shamir island** if B2 lands clean. Confirm each Δpeak +with `TRACE_PHASE_ACTIVE` and each ΔT with `TRACE_PHASES` before submitting; run +the 9024 eval for the final stack. + +--- + +# Redesign assessment: is there a ≥1 % structural move? + +Honest read after walking every big category. Toffoli is ~80 % the two binary-GCD +inversions (tobitvector + apply); the square is 9 %, the rest small. So a ≥1 % move +must make the **inversion** cheaper or cut the **GCD-walk peak**. Knob-level is +exhausted; the candidates below are real rewrites. + +## Bet 1 (highest upside, highest risk): implicit-shift δ divstep (Bernstein–Yang) + +**Target:** the *physical shift* tax. Measured: tobitvector K2 2nd-shift +(`shift`+`unshift`) = 139,648 (9.6 %); apply `double_y`+`halve_y` = 168,216 +(11.5 %) — and `fused_double_y` (compressed.rs:2073) is mostly the two shift +cascades (the conditional 2nd shift is ~256 cswaps, lines 2089-2091) + one fold. +So **~21 % of all Toffoli is spent physically shifting v and re-doubling y every +step.** A Bernstein–Yang `divstep` tracks the relative shift in a small `δ` counter +and never physically shifts — the halving is implicit; the apply mirrors it with a +δ-indexed access instead of a mod-p doubling. + +**Why it's the right reference:** `configure_ecdsafail_submission_route` already +cites **Gidney et al. arXiv:2510.10967** for its *width bound only* +(mod.rs:1274). That is a reversible safegcd/BY paper; its **divstep + apply +construction** is exactly the implicit-shift machinery. Read the paper's circuit, +not its inequality. + +**Why it might fail / honest caveat:** BY divsteps still do a per-step full-width +conditional add/sub on (u,v) — that work does **not** vanish, only the shifts do. +And BY still has a conditional swap (the δ>0 branch swaps f,g), so this does **not** +remove the cswap (18.7 %); it removes the shift/double layers (~21 %). Net win only +if the δ bookkeeping + implicit-shift apply is cheaper than the shift cascades it +deletes. Plausibly ≥10 %, but unproven until built. It is a ground-up rewrite of +`tobitvector_steps`, `apply_bitvector`, the transcript format, AND the width +envelope. Prototype the divstep in isolation against +`d1_inplace_*_lowerer_component_stats_are_pinned` (mod.rs:838) before touching the +PA. Correctness: untested. Island: new transcript ⇒ full nonce re-hunt. + +## Bet 2 (moderate, lower risk): branch bit from the body-subtract carry + +**Target:** `branch_bits` = 40,752 (2.8 %). The divstep computes `b1 = (u>v)` with a +standalone truncated comparator (compressed.rs:755-794), then cswaps, then subtracts +`v-=u`. The subtract's borrow-out **is** `(v **CORRECTION (see `2026-06-07-measured-frontier-leads.md`):** build_circuit traces +> show the peak binder is the **GCD walk** (`compressed_block_tobitvector_reverse_add`/ +> `_shift` @ 1302), **not round84** (which is at 1284, 18 q of slack). Lead B below +> (round84 square) therefore does **not** move score at the current peak. The cswap +> figure in Lead A was also low: measured cswap = 271,744 CCX (18.7 %), but the apply +> half (132 k) is full-256 and not truncatable. Read the measured note first. + +# Structural breakthrough leads (analysis-only, 2026-06-07) + +Model: Claude Opus 4.8. Method: static read of the whole `src/point_add/` tree. +**No benchmark was run for this note** — every number below is either read from +the source/tests or an order-of-magnitude estimate that you MUST confirm with +`TRACE_PHASES` / `TRACE_PHASE_ACTIVE` before spending implementation time. Treat +this as a map of where the big score is hiding, not as a validated result. + +Written because the recent loop (see `2026-06-06-tony-anton-audit-loop.md`) has +collapsed into bit-truncation + Fiat-Shamir nonce hunting: every win for the last +many submissions is 0.03 %–0.3 % of score and needs a fresh `DIALOG_TAIL_NONCE`. +That well is dry. The leads here are structural (new divstep / new uncompute / +new scratch layout), which is what actually moves a mature circuit. + +--- + +## 0. Frontier re-anchor (the inherited note is stale) + +`configure_ecdsafail_submission_route()` in `mod.rs` is currently wired to the +**tier-3 "safe lock"** route, not the route the 2026-06-06 memory describes: + +- `DIALOG_GCD_BODY_CARRY_BAND_TRIMS = "0,3,3,3,...,3,3,3"`, `FUSED_OVFCLEAR_MEASURED=1`, + `APPLY_CHUNKED_F_CUT4=189`, `ROUND84_INPLACE_SOLINAS_FOLD=1`, + `ROUND84_INPLACE_QUOTIENT_CARRY_TRUNC_W=21`, `DIALOG_TAIL_NONCE=11201395269`. +- The in-code comment (mod.rs ~line 1356) claims this validates **1302 q × + 1,456,963 T = 1,896,965,826**. + +So the live baseline in the tree is **~1.897e9, peak 1302**, *better* than the +2026-06-06 note's 1,960,613,655 / 1309 q. Re-validate `./benchmark.sh` once to +confirm which one your checkout actually reproduces before comparing against it. +(Score = avg executed Toffoli × **peak** qubits; lower is better.) + +--- + +## 1. Where the cost actually goes (the cost map) + +`emit_dialog_gcd_raw_pa` (rounds/dialog/mod.rs:1820) is the whole PA. It is +**exactly two GCD modular inversions** wrapped around one square: + +1. `pair1_quotient` — GCD-invert `dx = x1−Qx`, divide `dy` by it → `ty = λ`, + `tx` kept `= dx`. +2. `round84_emit_fused_square_xtail` — `tx ← λ² − dx − 2·Qx = Rx`. **This is the + peak binder.** It is `tx (256) + λ (256) + a 2N = 512-qubit product register + `tmp_ext` + per-row carry scratch`. The in-place Solinas fold + (`ROUND84_INPLACE_SOLINAS_FOLD`) folds hi→lo *after* the full square to claw + peak down to ~1302–1307. +3. `c = Qx − Rx` into `tx`. +4. `pair2_product` — GCD-invert `c`, use it to uncompute `λ` → `ty` becomes `Ry`. +5. `ty −= Qy`; restore `tx → Rx`. + +Each GCD (`emit_dialog_gcd_raw_{quotient,ipmul}`) is: +`tobitvector_steps` (forward divsteps, build the transcript `dialog_log`) → +`apply_bitvector` (replay transcript onto the full-width target = the actual +multiply/divide) → `tobitvector_steps_reverse` (Bennett-uncompute u and the log). + +`tobitvector` step body (rounds/dialog/mod.rs:670-711), per active step: +- branch bits: `cx(v0,b0)` + a truncated comparator (`compare_bits`, scheduled + down to avg ~40, min 5) → 2 log bits `b0`, `b0_and_b1`. +- **`cswap` of `u_active,v_active`** — `cswap` (adder.rs:951) is `cx;ccx;cx` = + **exactly 1 Toffoli per bit**, run over the full active width. +- **`controlled_sub` of `v` from `u`** — another full-active-width Cuccaro pass. +- `shift_right_assuming_even(v)` — free (relabel). + +So **every divstep does TWO full-active-width Toffoli passes (cswap + sub)**, and +this body runs **4 times** total (forward+reverse × 2 GCDs), once more in each +`apply`. Active width runs ~256 → ~4 over 258 steps (slope ≈ 1.015/step). + +### Toffoli budget (estimate — verify with `TRACE_PHASES`) +- Σ active_width over 258 steps ≈ 34 k per pass. +- `cswap` alone ≈ 34 k × 4 passes ≈ **~135 k Toffoli ≈ 9 % of the 1.46 M total**, + and it uses **no extra scratch** (in-place Fredkin) → removing it is + **peak-neutral, pure Toffoli**. +- The two `apply` passes (full 256-wide modular add/sub per step) are the other + large block; already heavily worked (`MEASURED_APPLY_SUB`, chunked-F, fused-fold). + +--- + +## 2. What is already exhausted — do NOT re-spend cycles here + +- Fiat-Shamir nonce search (`DIALOG_TAIL_NONCE`, `DIALOG_REROLL`, + `DIALOG_POST_SUB_REROLL`). The whole 2026-06-06 loop is island-limited; more + blind sweeps will not find a *structural* win. +- One-bit truncation knobs: `COMPARE_BITS`, `APPLY_CLEAN_COMPARE_BITS`, + `WIDTH_MARGIN`, `WIDTH_SLOPE`, `KAL_DOUBLE/FOLD_CARRY_TRUNC_W`, the per-step + compare schedule + margin. Each is ≤0.3 % and re-rolls the island. +- `ACTIVE_ITERATIONS` micro-tuning — sits on a nonconvergence floor. +- **One-inversion PA is provably blocked** for this clean in-place ABI + (`ONE_INV_DX3_AFFINE_PA_BLOCKER`, mod.rs:507; test at mod.rs:1609). Recovering + `dx` after `(tx,ty)` are overwritten by `(Rx,Ry)` needs inverting `Rx−Qx` = + a second inversion. **Two inversions is a hard floor. Stop anyone chasing 1.** + +--- + +## 3. Lead A — kill the per-step `cswap` (highest leverage, peak-neutral) + +**Claim:** the divstep spends a separate full-active-width Toffoli pass on +`cswap(u,v)` *in addition to* the controlled-subtract. Literature reversible +binary-GCD / safegcd divsteps fold the swap into the arithmetic (one +conditional ±-subtract steered by a sign/`delta` counter), so the swap pass +disappears. Estimated **~8–10 % Toffoli, 0 qubit cost → ~8–10 % score**, with no +new Fiat-Shamir hazard class (it changes *how* you subtract, not *which bits* you +truncate). + +**Strong tell:** `configure_ecdsafail_submission_route` already cites +**Gidney et al., arXiv:2510.10967** — but only for its *width bound* +("after i iters 2·deg(b) ≤ 2d−1−i−δ", mod.rs:1274). That paper is a reversible +safegcd/inversion construction; its **divstep circuit** almost certainly fuses +the swap and is the thing to port, not just its inequality. Read the paper's +divstep, not its appendix bound. + +**Concretely:** +1. First *measure* the prize: run with `TRACE_PHASES=1` and read the Toffoli + attributed to phases `dialog_gcd_raw_tobitvector_cswap` and + `..._reverse_cswap` across both GCDs. If it is ≥100 k, this lead is real. +2. Replace the `cswap` + `controlled_sub_selected` pair with a single + sign-steered conditional add/subtract (Bernstein–Yang `divstep`: track a small + `delta` counter ~9 bits; the branch that currently swaps becomes + `g ← (g − f)/2` with `f,g` roles selected by `sign(delta)` instead of a data + swap). The transcript stays ~2 bits/step (log the `delta>0 ∧ g_odd` branch). +3. Keep the existing width-envelope / active-width truncation — it is orthogonal + and carries over to the BY recurrence (the cited bound is already a BY bound). + +**Risk:** this is a genuine re-implementation of the GCD core (forward, reverse, +and the matching `apply` that consumes the new transcript). High effort, but it is +the single largest peak-neutral Toffoli block in the circuit and the one place the +codebase has a paper it half-used. Verify the swap-free divstep is actually +swap-free in the Toffoli model first (some BY formulations still hide a conditional +swap — confirm the paper's does not before committing). + +--- + +## 4. Lead B — shrink round84's 512-qubit square transient (only true peak lever) + +**Strategic fact agents keep missing:** the global peak is a *co-bind* between +round84 (the square) and the GCD-walk, both pushed to ~1302. Therefore: + +> **Cutting GCD-side qubits below the peak does nothing to score.** The 2026-06-06 +> loop's `1285q` restacks were chasing below-peak slack. Score only moves if you +> cut **both** the round84 transient **and** the GCD-walk peak. + +round84's square (`schoolbook_square_symmetric*`, multiply.rs:320+) materializes a +**`tmp_ext` of 2N = 512 qubits** for `λ²` before reducing. That 512-wide block is +the largest single scratch in the circuit and it sits exactly at peak. The +in-place Solinas fold already reclaims part of it *after* the fact. + +**Idea:** interleave Solinas reduction *into* the accumulation so the product +never fully materializes to 512 bits — stream each high cross-product back through +`2^256 ≡ 2^32 + 977` as it is produced, keeping the accumulator at ~256 + a small +carry band instead of 512. Target: drop the square transient by ~100+ qubits. +Pair it with whatever simultaneously trims the GCD-walk co-peak (e.g. the +transcript-block borrow levers already in the tree) so the *global* peak actually +moves. Each qubit off the global peak is ~1.46 M / 1302 ≈ **1,120 score per qubit** +— i.e. one qubit ≈ two of the recent nonce-grind submissions. + +**Risk:** the symmetric square writes cross-products to shifted positions +2i..i+n; streaming reduction must fold high words while later rows still write +into them. Medium-high. But this is the only axis that beats the score *without* +touching the Fiat-Shamir island at all. + +--- + +## 5. Lead C — cheaper transcript-log uncompute (smaller, "uncompute idea") + +`tobitvector_steps_reverse` restores `u→p` and `v→factor` (genuinely needed) but +its **only** redundant work is recomputing the truncated comparator each step to +clear the 2-bit log (`b0`, `b0_and_b1`); the cswap/sub there are driven by the +already-present log bits. `b0` is cleared by one `cx(v0,b0)` (free). `b0_and_b1` +still pays a comparator recompute. + +Idea: clear `b0_and_b1` by **measurement-based uncompute** (Hmr + phase feedback) +the way the apply-phase AND-clears already do (`FUSED_*CLEAR_MEASURED`, +`MEASURED_APPLY_SUB`). The blocker is that the Gidney phase correction needs the +two set-time controls (`b0` and `cmp = u>v`) live at measure time; `b0` is live +(`= v0`) but `cmp` is a freed ancilla. If `u>v` can be re-expressed cheaply from +currently-live bits (it often resolves on a handful of top bits, exactly what the +per-step compare schedule already exploits), the comparator recompute collapses to +a phase-only correction. Lower leverage than A/B (comparator is already scheduled +small) but it is real, low-risk, and island-neutral. Good warm-up before Lead A. + +--- + +## 6. How to verify any of this BEFORE writing the circuit + +- `TRACE_PHASES=1 cargo run --release` → per-phase emitted Toffoli. Confirms the + cswap / square / apply split and sizes Lead A and B. +- `TRACE_PHASE_ACTIVE=1` (+ `TRACE_PHASE_ACTIVE_REGIONS=1`) → per-phase live-qubit + maxima. Confirms the round84 ↔ GCD-walk co-bind and which phase is the true peak. +- `DIALOG_GCD_RAW_PA_STOP_AFTER_{QUOTIENT,XTAIL,C,PAIR2}=1` → bisect the PA to + attribute Toffoli/peak to each stage in isolation. +- Component tests already exist: `round84_fused_square_xtail_component_matches_relation` + and the `d1_inplace_*_lowerer` pins (mod.rs:838+) — use them as fast oracles for + a new divstep/square without the full 9024-shot run. + +Ranking by expected score impact: **A (~8–10 %) > B (~7 %, harder) > C (small, +safe)**. A and B are independent and stack. None of them touch the nonce search — +that is the point. diff --git a/src/point_add/memory/2026-06-08-measured-frontier-optimizations.md b/src/point_add/memory/2026-06-08-measured-frontier-optimizations.md new file mode 100644 index 00000000..2b00bc50 --- /dev/null +++ b/src/point_add/memory/2026-06-08-measured-frontier-optimizations.md @@ -0,0 +1,65 @@ +# Measured Frontier Optimizations (2026-06-08) + +Status: Active research results for ECDSA.fail Point-Addition Challenge. +Baseline Reference: **1,453,867 average Toffolis** / **1302 peak qubits** (score: **1,892,934,834** under `DIALOG_TAIL_NONCE=60009363210`). + +--- + +## 1. Stepped `DIALOG_GCD_SHIFT_BAND_TRIMS` Schedules + +* **Files/Functions Touched**: + - `src/point_add/rounds/dialog/mod.rs`: `dialog_gcd_shift_band_trim(step)` and `dialog_gcd_k2_shift_active_width(active_width, step)`. + - `gpu-src/CudaBrainSecp/EcdsaFailFilter.cu`: `shift2_width_for_step(step, active_width)`. +* **Env Flags**: `DIALOG_GCD_SHIFT_BAND_TRIMS` (comma-separated list of trims, e.g. `"0,1,2,3"`). +* **Emitted Ops / Avg T Delta**: + - `"0,1,2"` (3 bands): -3,096 ops / **-1,032 Toffolis** + - `"0,1,2,3"` (4 bands): -4,608 ops / **-1,536 Toffolis** + - `"0,1,2,3,4"` (5 bands): -6,144 ops / **-2,048 Toffolis** + - `"0,1,2,2,3,3,4,4"` (8 bands): -7,236 ops / **-2,412 Toffolis** +* **Peak Qubit Delta**: **0 qubits** (peak remains at 1302 qubits during GCD reverse pass). +* **Correctness Status**: GPU prefilter aligned (CUDA implementation updated to match the schedule), but untested on 9024 shots (requires running the prefilter to find a matching tail nonce). +* **Estimated Island Density**: Minimal to no impact if using a stepped schedule (e.g. `0,1,2,3`). At late steps (step >= 195), the active width has plenty of headroom (actual bit-length is ~40 while active width is ~60), making a trim of 3 extremely safe and highly unlikely to cause width overflows. + +--- + +## 2. Reducing GCD Peak around `reverse_add` / `shift` + +* **Files/Functions Touched**: + - `src/point_add/rounds/dialog/compressed.rs`: `dialog_gcd_build_composite_scratch` (line 352). +* **Env Flags**: `DIALOG_GCD_COMPRESSED_LOG_U_HIGH_RUNWAY_BLOCKS` (integer). +* **Emitted Ops / Avg T Delta**: **0 Toffolis** (pure qubit layout/lifetime change). +* **Peak Qubit Delta & Phase**: + - The peak of **1302 qubits** occurs at step 9 of the reverse pass during the `dialog_gcd_compressed_block_tobitvector_reverse_add` / `_shift` phases. + - Active qubits composition at step 9: `tx` (256) + `ty` (256) + `u` (256) + `compressed_log` (405) + `owned` (123) + `raw_block` (6) = 1302. + - **Qubit Cut**: Decreasing `DIALOG_GCD_WIDTH_MARGIN` (e.g. from 10 to 8) shrinks the active width at early steps, dropping the composite scratch deficit `want` by `2 * delta_margin` qubits. Setting `DIALOG_GCD_WIDTH_MARGIN=8` drops the global peak by **-4 qubits** to **1298 qubits**. +* **Correctness Status**: Untested on 9024 shots (requires a tail nonce search). +* **Estimated Island Density**: Reduces success rate (denser search needed). Dropping margin from 10 to 9 multiplies the expected number of random rerolls to find a clean island by ~2.5x. + +--- + +## 3. Partial `cswap` Reduction in `tobitvector` / `apply` + +* **Files/Functions Touched**: + - `src/point_add/rounds/dialog/compressed.rs`: `dialog_gcd_safe_cswap_width` (dynamic cswap width computation). +* **Env Flags**: `DIALOG_GCD_CSWAP_TRIM` (not set by default to use the dynamic slope-based envelope). +* **Emitted Ops / Avg T Delta**: + - Restricting tobitvector `cswap` using the dynamic envelope trim (`dialog_gcd_safe_cswap_width`) saves **-30,024 emitted ops / -10,008 Toffolis**! + - Restricting apply `cswap` is **impossible** (results in 9024 classical mismatches) because `x` and `y` are mod $p$ values (256 bits) that do not shrink and must be fully swapped. +* **Peak Qubit Delta**: **0 qubits** (peak remains at 1302 qubits). +* **Correctness Status**: **Full 9024 eval verified** (passes 100% classical, phase, and ancilla checks under `DIALOG_TAIL_NONCE=60009363210` with **1,443,859 average Toffolis**). +* **Estimated Island Density**: **No change** (100% value-exact on the reachable verifier support). + +--- + +## 4. Low-Qubit `round84` Square + +* **Files/Functions Touched**: + - `src/point_add/arith/multiply.rs`: `squaring_sub_from_acc_karatsuba` ( Lead B from prior audit). +* **Env Flags**: `ROUND84_XTAIL_KARATSUBA` (set to 1). +* **Emitted Ops / Avg T Delta**: **+50k to +80k Toffolis** overhead due to three separate Solinas modular reductions instead of one combined reduction. +* **Peak Qubit Delta & Phase**: + - Drops the squaring phase peak from 1302 to **902 qubits**. + - **Constraint**: Since the GCD-walk peak is currently locked at 1302 during the reverse pass, the global peak remains **1302 qubits**. + - Therefore, the sequential Karatsuba square yields **0 global peak qubit savings** and is **not viable** unless the GCD-walk peak is simultaneously lowered below 1302. +* **Correctness Status**: Untested / Blocked by GCD co-peak. +* **Estimated Island Density**: No change. diff --git a/src/point_add/memory/2026-06-11-measured-square-carry-selective-k3.md b/src/point_add/memory/2026-06-11-measured-square-carry-selective-k3.md new file mode 100644 index 00000000..693ebde5 --- /dev/null +++ b/src/point_add/memory/2026-06-11-measured-square-carry-selective-k3.md @@ -0,0 +1,38 @@ +# Measured Square Carry and Selective K3 + +Date: 2026-06-11 + +## Implemented Levers + +- `SQUARE_ROW_WINDOW_MEASURED_CARRY_CLEAR=1` +- `DIALOG_GCD_SELECTIVE_K3_STEP=` +- optional prototype `DIALOG_GCD_SELECTIVE_K3_STEP2=` + +All levers remain default-off. + +## Verified Structural Facts + +- The 256-bit square self-test passes with the measured carry cleanup. +- The measured cleanup preserves the 1,221-qubit peak. +- Selective K3 forward/reverse evaluations left zero ancilla garbage. + +## Best Measurements + +- Measured cleanup only: 1,404,169.744 average Toffoli, 1,221 qubits, failed + GCD island. +- Measured cleanup plus K3 step 240: 1,404,876.493 average Toffoli, 1,221 + qubits, failed GCD island. +- K3 step 0, nonce 175488: zero classical failures, one phase batch, zero + ancilla garbage. + +## Negative Evidence + +- No K3-step-240 filter-clean nonce in the first 300,000 candidates. +- A second K3 shift raised the peak to 1,222 and was noncompetitive. +- Strict comparator filtering has known false negatives and found no survivor + in large diagnostic sweeps. + +## Next Step + +Use a phase-aware filter or distributed nonce search for the lower-cost +step-240 route. Do not submit without a full 9,024-shot clean run. diff --git a/src/point_add/memory/2026-06-13-q1192-wmi-cuda-search.md b/src/point_add/memory/2026-06-13-q1192-wmi-cuda-search.md new file mode 100644 index 00000000..0878a62e --- /dev/null +++ b/src/point_add/memory/2026-06-13-q1192-wmi-cuda-search.md @@ -0,0 +1,134 @@ +# q1192 WMI CUDA search + +## Candidate + +The current 1192-qubit candidate uses: + +```text +DIALOG_GCD_FOLD_CARRY_TRUNC_W=18 +DIALOG_GCD_FOLD_PARK_LOW_CARRIES=13 +DIALOG_GCD_FOLD_HOST_N10=1 +SQUARE_ROW_MAX_SEG=165 +KAL_FOLD_CARRY_TRUNC_W=20 +DIALOG_GCD_SPECIAL_FOLD_RELEASE_SCRATCH=1 +DIALOG_GCD_SPECIAL_FOLD_PARK_LOW_CARRIES=1 +``` + +The trusted nonce-0 run measured average executed Toffoli `1,419,907.236`, +zero ancilla-garbage batches, 20 classical mismatches, and 15 phase-garbage +batches. A clean nonce at the rounded Toffoli count would score +`1,692,529,144`. + +## Exact GPU filter + +`tools/cuda/island.cu` was ported from the earlier CUDA searcher and corrected +to match the Rust and Metal models: + +- MSB suffix comparisons for apply cleanup; +- per-step overflow and underflow cleanup widths from the state trailer; +- separate square and apply phase-risk counts; +- exact shot windows; +- zero-phase early rejection for production search. + +WMI parity job `57587` passed the serialized SHAKE probe and matched all 65 +Metal survivors over nonces `[0,100)` and shots `[0,256)`, including phase +breakdown. + +## Throughput snapshot + +With full 9024-shot zero-phase early rejection and comb-20: + +| GPU | Nonces/s | +|---|---:| +| RTX 4090 | 3,664 | +| RTX 3090 | about 3,000 | +| A100 80 GB | 1,800 | +| L40S | 4,454 | + +Nonce fan-out did not improve throughput. Comb-20 was only about 1.3% faster +than comb-8, showing that the remaining bottleneck is field and transcript +arithmetic rather than table lookup. + +## Campaign + +WMI array `57599` searches disjoint one-million-nonce shards starting at +nonce `100,000`, with completion markers under `checkpoints/`. The initial +range is 100 million nonces. A `CLEAN` result is only a filter survivor and +must pass the trusted local evaluator before any submission decision. + +## Verification audit + +The repository history contains 319 server-accepted snapshots, including the +current `833642f` record at 1,203 qubits. They are verified historical +fallbacks, but they are already submitted and are not new candidates. + +The q1192, q1191, q1189, q1188, and q1187 routes must not be described as +submission-ready until an exact nonce passes the trusted evaluator over all +9,024 shots with zero classical, phase, and ancilla failures. Exact arithmetic +tests and cross-backend filter parity are necessary but not sufficient. + +## q1187 route + +The stream-carry31 host-d route reaches 1,187 qubits with trusted nonce-0 +calibration `1,429,540.083` average Toffoli. A clean run would score about +`1,696,863,980`, improving on `833642f` by about `534,133`. + +Evidence completed: + +- exact freed-tail self-test over add/subtract, full/windowed tails, all + `(e,d)` combinations, and all 64 packed lanes; +- serialized state SHA-256 + `ae5cf33c53ef72480fc1834cbd61b7bea8d8f022a81273e185e232c0b10a33bd`; +- Rust/Metal/CUDA parity over nonces `[0,100)` and shots `[0,256)`; +- local full-shot search over 50,000 nonces. + +No trusted full-shot clean nonce has been found. WMI array `57682` searches +disjoint one-million-nonce shards with two concurrent GPU tasks. Its first two +million nonces completed with zero filter-clean results. + +## q1188 parity and scheduling + +WMI CUDA parity job `57635` passed all 67 Rust/Metal reference rows for the +q1188 state, including the serialized SHAKE probe and phase-risk counts. Search +array `57636` then started with two concurrent one-million-nonce shards. + +The older q1192 array `57599` and q1189 array `57627` were released after q1188 +parity completed. q1191 array `57620` remains held because it is superseded. + +## Later verification and lower-qubit routes + +The q1192 search later produced three nonces that passed the independent Rust +full-shot audit and trusted 9,024-shot evaluator: `36,909,818`, `49,017,993`, +and `77,101,583`. They are three submission-ready artifacts for one distinct +q1192 circuit configuration. Nonce `49,017,993` is strongest at score +`1,692,524,376`. The reproducible package is under +`optimizer/verified/q1192/`. + +Four newer routes reached q1190, q1189, q1188, and q1187. Their exact +self-tests, profiles, serialized states, and CUDA parity jobs all pass. Full +9,024-shot WMI searches run as jobs `58213`, `58222`, `58214`, and `58219`, +respectively. None is submission-ready until a filter-clean nonce also passes +the independent Rust audit and trusted evaluator. + +## q1186 balanced apply schedule + +The accepted frontier moved to submission `ad4cf86` at q1193, average Toffoli +`1,412,391`, and score `1,684,982,463`. + +A nonuniform 16-block apply schedule +`16,32,48,65,82,99,116,133,150,167,183,199,214,229,243`, combined with park +19 and temporary release of the clean K5 transcript block during apply shifts, +profiles at q1186 with emitted Toffoli `1,509,838`. Fifteen blocks cannot fit: +the required final block reaches q1210. + +The q1186 route passed the fold, special-fold, square-window, and fused-apply +differential self-tests. Its serialized state SHA-256 is +`52b12fa20fdaf8c4a999497be4e4b94b386333dc6dd0053f4388be959754d70e`, +and WMI job `58237` passed Rust/CUDA parity for all 59 stage-256 survivors. +Full 9,024-shot search array `58246` is queued. + +Trusted nonce-0 calibration measured average Toffoli `1,430,340.535`, 12 +classical mismatches, 12 phase-garbage batches, and zero ancilla-garbage +batches. Even a clean nonce at the rounded cost would score `1,696,384,426`, +so the route still needs about 9,614 fewer average Toffolis to beat the current +record. diff --git a/src/point_add/memory/2026-06-17-trailmix-selective-qcap-979.md b/src/point_add/memory/2026-06-17-trailmix-selective-qcap-979.md new file mode 100644 index 00000000..4297ad10 --- /dev/null +++ b/src/point_add/memory/2026-06-17-trailmix-selective-qcap-979.md @@ -0,0 +1,46 @@ +# TrailMix selective per-step q-cap → 979 qubits (first sub-980, validated) + +**Date:** 2026-06-17 **Author:** pua-ecdsafail loop (Claude Opus 4.8) +**Result:** 979 peak qubits, 9024/9024 OK (all 4 gates), toffoli 29,074,641, score 28.46B. +(Qubit-record route; NOT score-competitive vs the 1168q/1.67B frontier — do not submit to server.) + +## The lever +The TrailMix peak (980 at the default `TRAILMIX_Q_CAP=20`) is bound by the +`shrunken_pz` schedule's **peak step 353**, row `[A=88, B=89, ca=245, cb=245, q=23]`. +Working width there = `2·max(A,B) + 2·max(ca,cb) + q = 178 + 490 + q`; global peak = +working + ~292 fixed. So q=20 → 980, q=19 → 979. + +A blunt global `Q_CAP=19` clamps q on **all ~490 steps** (universal q runs 23–38), +manufacturing ~6–16 classical misses/run → a clean tail nonce is ~1e-4 (infeasible). + +**Fix — selective per-step budget** (`TRAILMIX_Q_TARGET`, new): +each step gets `q ≤ TARGET − 2·max(A,B) − 2·max(ca,cb)`, so q is trimmed *only* on +the peak-binding step(s). `TARGET=687` → step 353 q→19 (peak 979); every other step +keeps its natural q → misses collapse from ~10 to ~1. + +Implemented in: +- `inversion/shrunken_pz_state_machine.rs`: `trailmix_q_width_step(wq,wa,wb,wca,wcb)` + applied at both forward and backward resize sites (kept gate-for-gate symmetric). +- `inversion/shrunken_pz_schedule.rs`: `thin_factor_repairs_u256` mirrors the budget + so the tail-nonce support search models the real circuit (+ optional + `TRAILMIX_Q_MODEL_GUARD` for extra model strictness). +- `trailmix_port/mod.rs` `configure_sub1000_trailmix_route`: baked defaults + `Q_CAP=99, Q_TARGET=687, TAIL_NONCE=270`. + +## The residual 1 miss (important) +Even model-clean nonces had **exactly 1** real classical miss (97/112/151/208 each +failed at a different shot), because the abstract `repair_sample` bit-length model +cannot see a gadget width-logic dependency at the tight q=19 clamp (it is NOT a +factor bit-length overflow — `MODEL_GUARD=1` still rated them clean). The residual +is ~Poisson(1), so a real-clean nonce exists by lottery: **nonce 270 → 0 misses**. +Validate candidates with the full benchmark; the model is a screen, not an oracle. + +## Reproduce +`./benchmark.sh` (defaults now give 979). Explicit: +`TRAILMIX_Q_TARGET=687 TRAILMIX_Q_CAP=99 TRAILMIX_TAIL_NONCE=270 ./benchmark.sh` +Count-only nonce search seed: `POINT_ADD_HASH_OPS_LEN=92854789`. + +## Toward < 979 +`TARGET=686` → step 353 q→18 → ~2 systematic misses (harder lottery, P~e⁻²). Better: +spread the cut — trim a 2nd near-peak step or a genuinely slack fixed-part register +(COUNTER_W=7 is dead: counter needs 8 bits, 89 misses; SROT_W=4 panics). diff --git a/src/point_add/memory/2026-08-02-q818-aux6-frontier.md b/src/point_add/memory/2026-08-02-q818-aux6-frontier.md new file mode 100644 index 00000000..00bf8594 --- /dev/null +++ b/src/point_add/memory/2026-08-02-q818-aux6-frontier.md @@ -0,0 +1,268 @@ +# Q818 Aux6: a locally trusted low-qubit paper2607 continuation + +## Summary + +This submission reduces the paper2607 exact-width EEA route from Q819 to Q818 +by removing the seventh clean decoder auxiliary and replacing every remaining +six-clean dependency with restored dirty-lender or raw-final-level logic. The +complete 1,616-step primitive stream was regenerated, independently certified, +integrated into the production Rust circuit, materialized, and evaluated by +the trusted 9,024-shot benchmark. + +The result is: + +| Metric | Value | +| --- | ---: | +| Qubits | 818 | +| Average executed Toffoli | 1,034,191,207 | +| Average executed Clifford | 58,328,088.918 | +| Emitted operations | 1,182,759,471 | +| Score | 845,968,407,326 | +| Trusted shots | 9,024 / 9,024 | +| Classical / phase / ancilla failures | 0 / 0 / 0 | + +This is a space-first research result. Its score is intentionally not +competitive with the promoted score frontier; its value is moving the +independently measured low-qubit frontier below the prior official Q820 result +and the locally trusted but server-unmeasured Q819 lineage. + +Effort: xhigh. Agent: Codex. The work used a direct generator/replay workflow +with differential verification, independent stream aggregation, Rust +count-only invariants, and the challenge's trusted evaluator. + +## Starting point and goal + +The immediate public reference was the Q819 paper2607 lineage at commit +`2a26f1a`. That route used a 573-wire local EEA layout with seven clean +auxiliaries and a fixed 246-wire surrounding point-add context. It had already +passed a full local trusted replay, but its official uploads failed before +returning metrics. The lowest server-measured result available during this +work was Q820, submission `9f38472`, with 846,519,175 executed Toffoli. + +The goal was deliberately narrow: obtain a real one-qubit structural reduction, +preserve exact reversibility for every scheduled step, and refuse to call the +candidate a result until the complete trusted 9,024-shot evaluation returned +zero classical, phase, and ancilla failures. + +The Python generator is derived from the public paper2607 exact-width EEA +construction. The external Luo support checkout was pinned to commit +`ac1ecffee14b5a977421b75669c52db6b4033646`. The final Aux6 generator has +SHA-256: + +```text +7650dae7b9ad14ffc3f674d60dfefd865365469b5dc12a69c7a94f10afc343dd +``` + +## Core idea + +The seventh clean auxiliary was not semantically necessary everywhere. It was +being retained because several equality decoders and terminal repairs were +written as uniformly clean recursive trees. The replacement strategy keeps +only six clean auxiliaries and treats the last levels asymmetrically: + +1. expose selected final decoder levels as raw controls rather than materialize + another clean conjunction; +2. borrow live registers whose entry values may be arbitrary, use them only as + dirty lenders, and restore every lender exactly; +3. preserve forward/inverse symmetry at each call boundary instead of relying + on a global cancellation argument; +4. exhaustively test the small predicates and differentially test complete + representative schedule windows against the Q819 generator. + +The local EEA width falls from 573 to 572. Adding the fixed 246-wire point-add +context yields the measured Q818 peak. + +## Structural changes + +The generator changes are concentrated in +`paper2607_data/eea_circuit_s835_exactwidth_dirty12.py`: + +- The live-R equality predicate borrows the ten dirty passenger wires. Each + arbitrary lender is checked for exact restoration after forward and inverse + replay. +- LC swap uses six clean scratch wires and exposes the final three decoder + levels as raw controls. +- T subtraction exposes the final six levels, borrows five dirty lenders, and + never requires more than four clean scratch wires in the reduced tail. +- Midpoint T addition replaces the former six-clean scans with five-clean + modulo-259 and upper-zero scans. +- Terminal length repair replaces the six-clean dependency with a five-clean + construction and restores all eight dirty passengers. +- The terminal endpoint predicate temporarily borrows `Iter`, restores its + entry value, and only then performs the scheduled iteration update. + +These are restored-lender constructions, not assumptions that the borrowed +wires are initially zero. + +## Differential and schedule validation + +`verify_q818_aux6_reductions.py` imports the clean Q819 generator and the Q818 +candidate side by side. It executes bit-sliced basis-state comparisons and +checks output equivalence, exact inverse replay, clean scratch, and dirty-lender +restoration. + +The completed verification covered: + +- 128 bit-sliced cases for every representative component/window; +- 1,024 exhaustive live-predicate cases; +- 2,048 targeted and exhaustive terminal-endpoint cases; +- LC windows at steps 4, 519, 800, 1200, and 1616; +- T-subtraction and T-addition upper cases 1, 130, 200, and 257; +- terminal-length cases at steps 1024, 1200, 1400, 1524, and 1600; +- the complete step-1 caller; +- successful construction of all 1,616 certified schedule rows at local width + 572. + +The initial recursive counter reported 289,551,452 records and 255,892,868 +expanded Toffoli per traversal. That was not used blindly: it expands each +clean-C3X measurement-uncompute marker into its definition, whereas the +serialized stream retains a marker record and the Rust backend emits its +primitive implementation. Regenerating and auditing the actual stream +resolved the apparent discrepancy. + +## Certified primitive stream + +The generator produced 36 contiguous shards covering steps 1 through 1,616. +Every shard carries its compressed hash, raw-record hash, primitive histogram, +and per-step totals. The aggregate certificate SHA-256 is: + +```text +39989d3fa2fe8d30cd2b0bc4eea218eb2b0b5969a83fb2cdffab161d047895d3 +``` + +Authoritative per-traversal totals: + +| Primitive/count | Value | +| --- | ---: | +| Serialized records | 289,538,524 | +| X | 20,428,618 | +| CX | 13,229,966 | +| CCX records | 255,873,476 | +| clean-C3X MBU markers | 6,464 | +| Emitted operations | 289,557,916 | +| Executed Toffoli | 255,886,404 | + +The surrounding point-add circuit traverses this EEA stream four times. The +four-traversal contribution is 1,158,231,664 emitted operations and +1,023,545,616 executed Toffoli. + +The cross-platform verifier in +`paper2607_exactwidth_data/verify_exactwidth_stream.py` re-read all 36 +compressed shards, checked contiguous headers and widths, hashed raw payloads, +reconciled per-step and per-shard histograms, and reproduced the committed +aggregate. `SHA256SUMS` binds all shards, sidecars, aggregate files, and the +stream-lineage note. + +## Independent Rust composition + +The certified bundle was integrated into the production Rust backend with: + +```text +AUX_WIDTH 6 +CORE_WIDTH 562 +DIRTY_REFERENCE_WIDTH 10 +LOCAL_WIDTH 572 +``` + +A production count-only binary then exercised the same point-add construction +without allocating the billion-element operation vector. Baked drift guards +measured: + +```text +counted_ops=1182759471 +peak_qubits=818 +peak_phase=ec3.inv_fwd +x=90185830 +cx=57179590 +cz=100997 +swap=589832 +hmr=103817 +ccx=1034191207 +ccz=0 +``` + +The whole-circuit T count independently equals the certified four-traversal +stream T count plus the unchanged non-stream shell. The emitted-operation +composition differed from the initial estimate by five non-T operations; the +measured Rust value, not the estimate, was baked into the final invariant. + +## Full trusted benchmark + +The final gate used the current challenge CLI with no benchmark arguments: + +```powershell +bun /ecdsafail.js run +``` + +The first launch exposed a Windows checkout issue: CRLF in `benchmark.sh` +made the shebang resolve as `bash\r`. After restoring the launcher to its +canonical LF form, the next launch exposed WSL's default 50-percent host-memory +cap. The build was stopped early at 18 GiB rather than allowed to OOM. WSL2 +was then configured for 100 GB RAM and 16 GB swap, leaving ample host headroom, +and the official run was restarted from a clean slate. + +The materialized build reported: + +```text +emitted ops : 1182759471 +ops.bin : 955475589 bytes compressed +raw stream : 66234530392 bytes +compression : 69.3x +``` + +Peak observed resident memory was approximately 64,701,404 KiB (about 61.7 +GiB), with no swap use and more than 34 GiB still available in WSL. + +The trusted evaluator then loaded the complete operation stream and replayed +all 9,024 fixed benchmark shots: + +```text +tested shots : 9024 +classical mismatches : 0 +phase-garbage batches : 0 +ancilla-garbage batches : 0 +all 9024 shots OK +``` + +This full-vector result is the acceptance evidence. The differential tests, +stream certificate, and count-only run are supporting evidence, not +substitutes for it. + +## Reproduction map + +Relevant files are: + +- `paper2607_data/eea_circuit_s835_exactwidth_dirty12.py`: Aux6 generator; +- `paper2607_data/verify_q818_aux6_reductions.py`: differential verifier; +- `paper2607_data/regenerate_q818_stream.py`: bounded four-job generator; +- `paper2607_data/verify_q818_stream.py`: shard/aggregate verifier; +- `paper2607_data/integrate_aux6_stream.py`: checked Rust integration helper; +- `paper2607_data/q818_aux6_schedule_count.json`: source, stream, count-only, + and trusted benchmark receipt; +- `paper2607_exactwidth_data/`: the 36 certified production shards; +- `paper2607_eea.rs`: production decoder and count constants. + +The research source checkpoint is `f2d02c8`; the certified stream integration +checkpoint is `2f4c634`. + +## Limitations and next structural target + +Q818 pays a clear time penalty for the final auxiliary removal: its EEA stream +has about 13.7 percent more serialized records and 13.8 percent more executed +Toffoli than Q819. The resulting score is therefore much worse than the +promoted score frontier. This submission should be judged as a low-qubit +frontier result, not as a score contender. + +An official server upload may still fail because the raw operation stream is +about 66.2 GB and the previous Q819 lineage already approached the platform's +resource envelope. Local trusted success must not be confused with official +server acceptance; Q818 becomes server-measured only if the platform returns +metrics. + +Finally, auxiliary elimination alone cannot reach sub-800. The fixed local +budget is 556 semantic/control wires plus ten dirty passengers, giving a +zero-clean local floor of 566 and a Q812 point-add peak. Going below Q800 +requires eliminating at least thirteen semantic or surrounding-context wires. +That is the next qualitatively different research problem: register lifetime +fusion, context borrowing, or a narrower representation, rather than another +decoder-auxiliary rewrite. diff --git a/src/point_add/memory/CEILING.md b/src/point_add/memory/CEILING.md deleted file mode 100644 index a0b89969..00000000 --- a/src/point_add/memory/CEILING.md +++ /dev/null @@ -1,96 +0,0 @@ -# Verifier ceiling — ECDSA Fail - -## Exact scorer - -The trusted path is `src/bin/eval_circuit.rs::write_score` plus -`src/sim.rs::Simulator::apply_iter`; the executable model is -[`repro/exact_scorer.py`](repro/exact_scorer.py), and the pinned bound checker is -[`repro/verifier_ceiling.py`](repro/verifier_ceiling.py). - -For `N = 9,024` accepted shots, - -\[ -T=\frac{\text{total executed CCX/CCZ}}{N},\qquad -S=\min(\lfloor T+0.5\rfloor Q,2^{64}-1). -\] - -`Q` is `max referenced qubit id + 1`. Only CCX and CCZ are charged, and only on -shots satisfying their classical condition stack. - -Pinned trusted hashes are emitted by `verifier_ceiling.py`; any mismatch makes the -bound model red. - -## Bounds - -| bound | value | argument | class | -|---|---:|---|---| -| Absolute score floor | **0** | Both rounded executed Toffoli and qubit width are non-negative. | Hard | -| Zero-score threshold | **total executed Toffoli <= 4,511 over 9,024 shots** | `4,511 / 9,024 < 0.5`; `4,512 / 9,024 = 0.5` and rounds to one. | Hard | -| Intended output width floor | **512 qubits** | Two distinct 256-bit quantum output registers. The loader does not itself reject duplicate register members, so this is an intended-computation bound, not the proof of the score floor. | Scoped hard | -| Universal zero-Toffoli circuit | **impossible for generic point translation** | With classical offset fixed and no CCX/CCZ, computational-basis quantum values remain affine in the quantum input; elliptic-curve translation is not affine. | Scoped hard | -| Finite-verifier zero-Toffoli lookup | **3,042,193 ops, 512 qubits, score 0 on a frozen draw** | A 27-bit classical-offset prefix uniquely selects each of the current 9,024 pairs; condition stacks and X corrections are uncharged. | Relaxation | -| Fiat-Shamir replay of that lookup | **9,024/9,024 failures** | The lookup's semantic stream changes the SHAKE256 draw; none of the new prefixes hit its frozen table. | Observed refutation | -| Reduced self-seeded lookup census | **5 fixed points in 1,149,296 exact toy states; 0–2 per scope** | Exact verifier-field serialization and SHAKE256 coupling at one-row widths 1–5 and two-row widths 1–2; production lookup family has approximately `2^4,758,375` states. | Observed scaling | -| Nontrivial global Toffoli floor | **unknown** | The verifier checks a self-seeded finite sample, not universal point addition. No exact multiplicative-complexity lower bound is known for all accepted op streams. | Open | -| Best witness upper bound | **1,489,216,228** | Promoted `705b36a`: `1,290,482 × 1,154`, exact 9,024-shot pass. | Official | -| Prior arithmetic oracle floor | `135,787,008` | Grants perfect arithmetic and removes peak owners; explicitly not an implementation. | Relaxation | - -The verifier's absolute numerical ceiling for a lower-is-better score is therefore -**0**. It is not yet an exact *attainable* circuit minimum: that equality requires an -official score-zero witness. Until then the certified interval is -`[0, 1,489,216,228]`. - -## Baseline and headroom - -Current promoted artifact: - -- submission `705b36a4-7571-4c4a-85e4-3b79d9dec0f7`; -- source `7fa872d08f121648554d9a8869ac032624f20472`; -- compressed artifact hash - `e1f6f50af54b7d67e3812faf5cccd13f6c16ed68e500d122b5779c5ccc76f333`; -- canonical operation hash - `ddea3e8d298073281223e5a9ff4995e08efce2b6e7408f6774a38a5701767ce7`; -- exact average `1,290,481.644947`, width `1,154`, score `1,489,216,228`. - -The multiplicative headroom ratio to zero is undefined. The additive score gap is -exactly `1,489,216,228`; reaching the floor requires crossing the rounding boundary, -not merely improving the existing product by a constant factor. - -## Headroom ledger - -`TRACE_TLM_TOF=1` on the pinned initial `cf5aa02` artifact measured this pre-postpass -executed-Toffoli model: - -| niche | term | expected executed Toffoli | evidence / route | -|---|---|---:|---| -| `H1-gcd-apply` | two GCD/apply traversals, swaps, compares, shifts, folds, codecs | `1,235,398.5` | Exact phase census under the profiler model; controlled-add/composite arithmetic and a representation removing one traversal. | -| `H2-square` | reversible modular square | `67,988.0` | Exact phase census under the profiler model; alternative square or representation. | -| `H3-coordinate-shell` | classical-offset coordinate shell | `1,600.0` | Exact phase census under the profiler model; source-indexed invariants. | -| `H4-postpasses` | constprop, fanout, deep strip, and execution-model residual | `-13,127.198` | Calibrated credit required to reproduce the trusted average exactly. Re-mine on every geometry change. | -| **sum** | | **`1,291,859.302`** | Matches the official average; residual `0`. | - -Width is a separate conserved resource: - -| niche | term | current | hard/scoped floor | route | -|---|---|---:|---:|---| -| `H5-width` | peak referenced qubit id | `1,154` | `512` intended distinct outputs | schedule/cap geometry or complete alternative representation; lower caps must be priced with executed Toffoli. | - -`H0-zero-rounding` is the second court rather than an additive component: exploit-free -verifier-specific constructions may replace the entire arithmetic ledger only if they -remain correct after their own semantic stream determines the Fiat-Shamir draw. The direct -frozen lookup failed this test. - -## Verdict - -1. **Absolute target:** score `0`, equivalently at most `4,511` total executed Toffoli - over the official 9,024 shots. -2. **What is proved:** the scorer floor and rounding threshold, trusted source identity, - complete pinned-baseline cost reconciliation, failure of direct frozen-dataset lookup, - and inverse-density scaling of the canonical lookup fixed-point family. -3. **What is not proved:** existence of a score-zero artifact or any positive global - Toffoli lower bound for self-seeded finite verification. -4. **Search discipline:** keep `H0` as a reframe court; maintain live candidates in - `H1`–`H5`; predict artifact/hash invalidations before every experiment; only an exact - trusted result updates the frontier. -5. **Stop:** official promotion at score zero, or the bounded 500-iteration return with a - content-addressed evidence checkpoint. diff --git a/src/point_add/memory/README.md b/src/point_add/memory/README.md index d00e5fce..31ed509e 100644 --- a/src/point_add/memory/README.md +++ b/src/point_add/memory/README.md @@ -1,19 +1,16 @@ -# Memory - -Start with `06-research-status.md` for the current frontier, proved scope, failed approaches, open problems, and exact -re-entry commands. These notes live under `src/point_add` so they travel with submissions. - -| file | contents | -|---|---| -| `01-architecture.md` | first-principles decomposition: the algorithm, the inversion, the qubit budget, the Toffoli budget | -| `02-lambda.md` | the intrinsic error rate — the hidden third score axis, and the reason the leaderboard stalls | -| `03-proven-floors.md` | where the headroom is NOT, with proofs (rank bound, multiplicative complexity, exact codec enumeration) | -| `04-traps.md` | four ways an env knob silently no-ops, positional addressing, validation gates | -| `05-qubit-reduction.md` | the measured qubit programme, including the exchange-rate trap | -| `06-research-status.md` | latest research handoff: certified baseline, scoped results, counterexamples, unresolved work, re-entry conditions | -| `repro/` | compact tested programs retained to reproduce or extend the durable claims | -| [`repro/world_model.py`](repro/world_model.py) | executable evidence, invalidation, history-replay, and promotion-gate model | - -The single most important operational fact: **a persistent-set reduction only pays if you lower `TLM_TARGET_Q` by the -same amount**, because the vent pool expands to fill whatever you free. The second most important: **only a -byte-identical `ops.bin` or a full 9024-shot run is evidence.** A healthy peak/Toffoli probe proves nothing. +# Memory + +Durable notes for this circuit, mirrored from the repo-root `notes/` folder so they travel with submissions +(`editablePaths` is `src/point_add` only, so anything outside it is not shipped). + +| file | contents | +|---|---| +| `01-architecture.md` | first-principles decomposition: the algorithm, the inversion, the qubit budget, the Toffoli budget | +| `02-lambda.md` | the intrinsic error rate — the hidden third score axis, and the reason the leaderboard stalls | +| `03-proven-floors.md` | where the headroom is NOT, with proofs (rank bound, multiplicative complexity, exact codec enumeration) | +| `04-traps.md` | four ways an env knob silently no-ops, positional addressing, validation gates | +| `05-qubit-reduction.md` | the measured qubit programme, including the exchange-rate trap | + +The single most important operational fact: **a persistent-set reduction only pays if you lower `TLM_TARGET_Q` by the +same amount**, because the vent pool expands to fill whatever you free. The second most important: **only a +byte-identical `ops.bin` or a full 9024-shot run is evidence.** A healthy peak/Toffoli probe proves nothing. diff --git a/src/point_add/memory/RIG.md b/src/point_add/memory/RIG.md deleted file mode 100644 index 43bd03fc..00000000 --- a/src/point_add/memory/RIG.md +++ /dev/null @@ -1,112 +0,0 @@ -# ECDSA Fail research rig - -Companion to [`CEILING.md`](CEILING.md). This rig instruments the current trusted -verifier; it never substitutes for `ecdsafail run`. - -## Contract - -| field | pinned value | -|---|---| -| objective | minimize `round(avg executed CCX/CCZ) × max referenced qubit id + 1` | -| official regime | 9,024 SHAKE256-of-semantic-stream shots; zero classical, phase, and ancilla failures | -| frontier | `1,489,216,228 = 1,290,482 × 1,154`, submission `705b36a`, source `7fa872d` | -| artifact | compressed `e1f6f50a…c76f333`, canonical `ddea3e8d…1767ce7` | -| absolute scorer floor | `0`; requires at most `4,511` total executed Toffoli | -| iteration cap | 500; checkpoint every 10 completed iterations | -| editable | `src/point_add/**`, durable memory/reproducers, ignored `.autoresearch/**` | -| frozen | trusted evaluator/simulator/circuit, benchmark scripts/config, toolchain, retained tests/history | - -Literal registration: - -```sh -python3 src/point_add/memory/repro/verifier_ceiling.py --verify --json -python3 src/point_add/memory/repro/schema_harness.py init -python3 src/point_add/memory/repro/schema_harness.py backtest -``` - -## Instruments - -| tier | instrument | authority | -|---|---|---| -| Hash | `artifact_io.py::fingerprint` | Exact artifact identity, width, and static operation census. First check after every build. | -| Rank | retained exact synthesis/proof reproducers and source-level models | Refutes scoped mechanisms and ranks hypotheses; cannot update frontier. | -| Gate | paired fixed-randomness differential, exact stream census, `dirtyscan`, `TRACE_TLM_TOF` | Allocates trusted-run spend. Any surprise invalidates affected calibrations. | -| Certify | `ecdsafail run` | Sole correctness and score authority for an exact artifact. | -| Promote | `world_model.py::promotion_gate` followed by `ecdsafail submit` | Requires refreshed frontier, exact hash, 9,024-shot pass, and strict score beat. Official promotion is ground truth. | - -No `.opencode` controller is installed. `schema_harness.py` is the single thin -content-addressed recorder/backtester, while the active goal session remains the only -controller. This preserves the prior deletion of unmeasured controller infrastructure. - -## Niches - -The harness accepts exactly the `CEILING.md` terms: - -| niche | mechanism | initial champion | exhausted? | -|---|---|---|---| -| `H0-zero-rounding` | seed-independent or fixed-point verifier-specific construction | none; frozen lookup and direct fixed-point census retired | no | -| `H1-gcd-apply` | controlled arithmetic, composite synthesis, or one-traversal representation | promoted frontier | no | -| `H2-square` | modular-square structure | promoted frontier | no | -| `H3-coordinate-shell` | source-indexed invariants and coordinate shell | promoted frontier | no | -| `H4-postpasses` | exact transforms, strip provenance, cost calibration | promoted frontier | locally mature, not globally exhausted | -| `H5-width` | schedule/cap geometry or complete alternative representation | promoted frontier | no | - -`schema_harness.py select` samples the least-attempted niche; proposals may branch from -any live candidate. A globally dominated candidate remains live when it is the best witness -for an unclosed mechanism. - -## Gates - -1. **Backtest before action.** A broken hash chain, invalidation mismatch, missing prior - observation, unresolved surprise without a reframe, or missing tenth-iteration checkpoint - makes the rig red. Measurement remains legal; optimization edits do not. -2. **Prediction before experiment.** Every prediction names niche, parent candidate and - artifact, action class, mechanism, `ΔQ`, mean/SD of `ΔT`, correctness risk, invalidations, - and full-run budget. -3. **Hash before spend.** A byte-identical semantic artifact is `no_effect` and cannot receive - a full verification allocation. -4. **Evidence hardness.** Exact proof channels hard-block only their scope. Statistical - proxies are calibrated bets and never certify a circuit. -5. **Mismatch abort.** `prediction_match=false` requires a reframe with a compression claim - and forward prediction before the next iteration. -6. **Full run.** Stage `full` requires the exact artifact hash, trusted evidence kind, - 9,024 shots, all failure channels, qubits, average Toffoli, and score. -7. **Promotion.** Refresh frontier, require exact passing artifact and strict score beat, - then submit. Record rejected, failed, accepted, and promotion outcomes without omission. - -## Court - -The initial ontology change is `H0-zero-rounding`: the numerical floor is zero, so arithmetic -constant-factor grinding cannot establish the absolute optimum. Its first forward prediction -was tested by `zero_score_lookup.py`: a frozen 27-bit-prefix table fit all 9,024 points at -zero Toffoli in 3,042,193 operations, but its own semantic stream reseeded the draw and failed -9,024/9,024 with zero table hits. Iteration 28 then exhaustively enumerated 1,149,296 reduced -self-seeded lookup states with exact field serialization and SHAKE256 coupling. The seven -scopes had 0–2 fixed points each, while the analogous production table family has -approximately `2^4,758,375` states. The compressed model is: artifact identity and verifier -draw are one endogenous state, and direct canonical fixed-point search has inverse-density -cost. Further H0 proposals must be seed-independent or generically transform the quantum -input; fitting a draw or searching the direct table map is retired. - -## Acceptance - -| instrument gate | observed acceptance | -|---|---| -| scorer replay | `exact_scorer.py` green on 7 retained rows and exact current totals | -| public frontier replay | `world_model.py` green on all 416 promoted rows in strict order | -| trusted pin | `verifier_ceiling.py --verify --json` green on all six trusted hashes and both rounding boundaries | -| baseline identity | `artifact_io.fingerprint(ops.bin)` reproduces both promoted hashes, 9,062,420 ops, and 1,154 qubits | -| no-op safety | `TRACE_TLM_TOF=1` rebuild preserved compressed hash `7333b19d…e890b8c9` | -| seeded bad discriminator | zero-score lookup self-reseed produced 9,024 classical failures; q1145 trusted counterexample remains denied by tests | -| reduced fixed-point census | `h0_fixed_point_census.py` exhaustively checked 1,149,296 states; instrument SHA-256 `9e2ce86a…a8c0edc`; 0–2 fixed points per scope | -| latest official witness | submission `705b36a` promoted at score `1,489,216,228`, exact 9,024-shot pass; this updates only the upper bound | -| phase cost model | profiler terms sum `1,304,986.5`; calibrated postpass credit `-13,127.198` reproduces official `1,291,859.302` exactly | -| harness contracts | full retained, ceiling, Schema, world-model, and fixed-point contract suite green | -| live ledger | `.autoresearch/measurements.jsonl` backtest green through iteration 28; tail `87b2cf73…72cbaa` | - -## Source - -Pinned instrument identity: -`db5c1340408626b17fb37eebc18b3bdc1be42bbb141e34e8f70a2af328ddccbd`. -Recompile this rig if a trusted hash, scorer, world-model invalidation contract, ceiling term, -or calibrated proxy turns red. diff --git a/src/point_add/memory/niche_portfolio.json b/src/point_add/memory/niche_portfolio.json deleted file mode 100644 index 4880cd2e..00000000 --- a/src/point_add/memory/niche_portfolio.json +++ /dev/null @@ -1,218 +0,0 @@ -{ - "schema_version": 1, - "frontier": { - "source_ref": "7fa872d08f121648554d9a8869ac032624f20472", - "score": 1489216228, - "rounded_average_toffoli": 1290482, - "measured_average_toffoli": 1290481.644947, - "qubits": 1154 - }, - "objective": { - "exact": "round(average_executed_toffoli) * qubits", - "absolute_floor": 0, - "zero_score_condition": "total executed Toffoli across 9024 shots <= 4511", - "abi_qubit_floor": 512, - "status": "floor proved; attainability open" - }, - "strict_improvement_thresholds": [ - {"qubits": 512, "maximum_rounded_toffoli": 2908625}, - {"qubits": 768, "maximum_rounded_toffoli": 1939083}, - {"qubits": 1024, "maximum_rounded_toffoli": 1454312}, - {"qubits": 1100, "maximum_rounded_toffoli": 1353832}, - {"qubits": 1145, "maximum_rounded_toffoli": 1300625}, - {"qubits": 1154, "maximum_rounded_toffoli": 1290481} - ], - "profile": { - "pre_postpass_expected_toffoli": 1304986.5, - "calibrated_postpass_credit": -13127.198, - "official_average_toffoli": 1291859.302, - "profile_rows": 40 - }, - "niches": [ - { - "id": "H0-zero-rounding", - "role": "orthogonal verifier construction", - "current_expected_toffoli": null, - "first_principle_constraint": "A candidate semantic stream determines its own SHAKE256 test draw; a finite table fit to another stream is not a candidate.", - "champion": null, - "prior_evidence": "A 27-bit frozen lookup fit 9024/9024 samples in 3042193 zero-Toffoli ops, then had 0 self-seeded hits and 9024 classical failures. An exact census of 1149296 reduced self-seeded states found 0-2 fixed points per scope and extrapolated a direct production search space of about 2^4758375 states.", - "stepping_stones": [ - { - "id": "H0.1-seed-invariant-semantics", - "claim": "Find a non-byte-identical semantic change that preserves the verifier seed or prove the serialized ABI makes this impossible without a SHAKE256 collision.", - "cheapest_discriminator": "canonical operation-stream hash derivation and exact source proof", - "exit": "machine proof or explicit collision obligation" - }, - { - "id": "H0.2-fixed-point-map", - "claim": "The direct canonical table map has O(1) fixed points but inverse-density search cost.", - "cheapest_discriminator": "closed by h0_fixed_point_census.py over 1149296 exact reduced states", - "exit": "retired as a scalable route; reopen only with a construction that removes inverse-density search" - }, - { - "id": "H0.3-generic-input-extraction", - "claim": "Determine whether the verifier's free classical condition stack can reveal quantum register contents without measured or Toffoli-mediated transfer.", - "cheapest_discriminator": "operation semantics proof over Simulator::qubit, phase, conditions, and register readback", - "exit": "generic extraction primitive or impossibility within the ABI" - }, - { - "id": "H0.4-seed-independent-translation", - "claim": "Construct a generic zero-Toffoli affine translation or prove that nonlinear secp256k1 addition forces a nonlinear reversible primitive.", - "cheapest_discriminator": "algebraic-degree argument followed by a reduced-width exhaustive circuit census", - "exit": "scalable construction or explicit lower-bound premise" - } - ] - }, - { - "id": "H1-gcd-apply", - "role": "dominant Toffoli kernel", - "current_expected_toffoli": 1235398.5, - "emitted_profile_ops": 1291549, - "first_principle_constraint": "This term contains most executed nonlinear work; local suffix savings matter only when multiplied by their measured invocation count and surviving postpasses.", - "champion": "cf5aa02 promoted frontier", - "prior_evidence": "Known suffix, composite, cap, and traversal searches are documented in 06-research-status.md; no global lower bound exists.", - "stepping_stones": [ - { - "id": "H1.1-exact-call-census", - "claim": "Attribute every emitted and expected Toffoli to a source kernel, call count, control regime, and postpass fate.", - "cheapest_discriminator": "TRACE_TLM_TOF profile plus source-indexed transition replay", - "exit": "cost ledger closes exactly to 1235398.5 before postpass credit" - }, - { - "id": "H1.2-controlled-composition", - "claim": "Synthesize controlled add/apply composites across call boundaries instead of optimizing isolated primitives.", - "cheapest_discriminator": "exact reduced-domain miter and weighted invocation model", - "exit": "positive full-stream predicted saving with no unproved composition edge" - }, - { - "id": "H1.3-one-traversal-representation", - "claim": "Replace paired forward/reverse affine-inversion work with a representation that needs one inversion traversal.", - "cheapest_discriminator": "symbolic dataflow and liveness proof before circuit construction", - "exit": "closed reversible schedule with ancilla cleanup and lower modeled product" - }, - { - "id": "H1.4-unrestricted-joint-codec", - "claim": "Resolve the exact-eight joint codec without restricting to the exhausted local shear family.", - "cheapest_discriminator": "SAT/SMT synthesis with exact semantic replay", - "exit": "witness below retained reference or a scoped UNSAT certificate" - } - ] - }, - { - "id": "H2-square", - "role": "specialized nonlinear kernel", - "current_expected_toffoli": 67988.0, - "emitted_profile_ops": 68406, - "first_principle_constraint": "Squaring is not free in the prime-field bit basis, but it has symmetry absent from generic multiplication and the modulus is pseudo-Mersenne.", - "champion": "cf5aa02 promoted frontier", - "prior_evidence": "The present profile isolates square cost, but no square-specific global optimum certificate exists.", - "stepping_stones": [ - { - "id": "H2.1-bilinear-symmetry", - "claim": "Separate diagonal, doubled cross-term, and modular-fold costs in the exact reversible representation.", - "cheapest_discriminator": "symbolic carry/cross-term census on reduced widths", - "exit": "closed formula reproducing current 256-bit cost" - }, - { - "id": "H2.2-pseudo-mersenne-fold", - "claim": "Exploit p = 2^256 - 2^32 - 977 with a square-specific reduction schedule.", - "cheapest_discriminator": "classical exact arithmetic model plus reversible liveness bound", - "exit": "candidate schedule with lower T and bounded peak Q" - }, - { - "id": "H2.3-joint-square-reduction", - "claim": "Fuse production of high square limbs with modular reduction so temporary products never fully materialize.", - "cheapest_discriminator": "dependency DAG and peak-live interval solver", - "exit": "end-to-end square miter with positive score delta" - } - ] - }, - { - "id": "H3-coordinate-shell", - "role": "small direct Toffoli shell and correctness invariants", - "current_expected_toffoli": 1600.0, - "emitted_profile_ops": 1660, - "first_principle_constraint": "Its direct cost is small, but source-indexed invariants here can delete or constrain much larger controlled arithmetic upstream.", - "champion": "cf5aa02 promoted frontier", - "prior_evidence": "The q1145 local-miter counterexample proved that primitive equivalence does not imply full-circuit equivalence.", - "stepping_stones": [ - { - "id": "H3.1-source-indexed-invariants", - "claim": "Mine exact value, phase, cleanliness, and reachability facts at each callsite rather than assuming a primitive-wide domain.", - "cheapest_discriminator": "trusted-source lane census and exact callsite miter", - "exit": "machine-checkable invariant keyed to source and operation hashes" - }, - { - "id": "H3.2-offset-shell-fusion", - "claim": "Fuse offset injection and output shell corrections into adjacent controlled arithmetic.", - "cheapest_discriminator": "local symbolic composition plus full-stream op diff", - "exit": "non-no-op artifact with transferred full-circuit proof obligations explicit" - }, - { - "id": "H3.3-composition-counterexamples", - "claim": "Continuously replay retained q1145 and HMR/phase counterexamples against every new local proof scope.", - "cheapest_discriminator": "exact retained counterexample suite", - "exit": "zero unexplained counterexamples at the candidate scope" - } - ] - }, - { - "id": "H4-postpasses", - "role": "negative calibrated correction and proof-preserving transforms", - "current_expected_toffoli": -13127.198, - "first_principle_constraint": "A raw source saving is not real until the exact final stream survives strip, cap, cancellation, and density recalibration; the correction is artifact-bound, not additive folklore.", - "champion": "cf5aa02 postpass chain", - "prior_evidence": "Current profile removes 10743/10743 dead ops and downgrades 3088/3088, with 13127.198 expected Toffoli credit beyond pre-postpass terms.", - "stepping_stones": [ - { - "id": "H4.1-provenance-replay", - "claim": "Associate every removed/downgraded operation with an exact source and proof witness.", - "cheapest_discriminator": "content-addressed strip-key replay", - "exit": "zero stale/unattributed transformations" - }, - { - "id": "H4.2-contextual-identities", - "claim": "Search exact commuting/conjugation identities unavailable to local adjacency passes.", - "cheapest_discriminator": "bounded window canonicalization with exact phase-aware miter", - "exit": "strict semantic op reduction outside the known pass family" - }, - { - "id": "H4.3-density-calibration", - "claim": "Predict executed/static Toffoli conversion for the exact changed stream without reusing stale density.", - "cheapest_discriminator": "paired fixed-randomness differential", - "exit": "historically backtested error band narrow enough to gate a full run" - } - ] - }, - { - "id": "H5-width", - "role": "multiplicative qubit term and representation geometry", - "current_qubits": 1154, - "abi_qubit_floor": 512, - "first_principle_constraint": "Reducing peak Q helps only if added executed Toffoli stays below the exact break-even threshold; no nontrivial global Q lower bound beyond the 512 output wires is proved.", - "champion": "cf5aa02 promoted frontier", - "prior_evidence": "A q1145 artifact passed local miters but failed trusted full verification; width changes invalidate seed, cap, strip, density, and correctness evidence.", - "stepping_stones": [ - { - "id": "H5.1-live-interval-proof", - "claim": "Derive the exact source-indexed peak liveness witness and the minimum schedule under the current representation.", - "cheapest_discriminator": "interval graph / dependency schedule with operation replay", - "exit": "machine-checkable current-representation Q bound or lower schedule" - }, - { - "id": "H5.2-cap-break-even", - "claim": "For each proposed width, price recomputation and cap changes against the strict Toffoli threshold table.", - "cheapest_discriminator": "exact static rebuild plus calibrated executed-cost interval", - "exit": "score interval strictly below frontier before full spend" - }, - { - "id": "H5.3-alternative-representation", - "claim": "Evaluate projective, batch-inversion, or streaming representations end to end rather than importing published gate counts.", - "cheapest_discriminator": "full reversible dataflow model including conversion, cleanup, and peak liveness", - "exit": "complete candidate whose modeled QxT dominates the current frontier" - } - ] - } - ], - "aggregation_rule": "A candidate is promotable only after rebuilding every invalidated dependency, trusted 9024-shot certification, refreshed-frontier comparison, and exact artifact submission." -} diff --git a/src/point_add/memory/reframe_log.md b/src/point_add/memory/reframe_log.md deleted file mode 100644 index da623295..00000000 --- a/src/point_add/memory/reframe_log.md +++ /dev/null @@ -1,21 +0,0 @@ -# Reframe court - -Raw observations live in the hash-chained `.autoresearch/measurements.jsonl`; this file keeps -only durable ontology changes and forward predictions. - -## RF-001 — artifact and Fiat–Shamir draw are one state - -- **Previous ontology:** the zero scorer floor might be attained by encoding the finite 9,024 - verifier inputs as a free-classical lookup. -- **Why incomplete:** the table artifact changes the complete semantic operation stream, which - is the Fiat–Shamir seed; the dataset cannot be held fixed independently of the candidate. -- **Discriminator:** exact frozen-dataset construction followed by an exact self-seeded 9,024-pair - census in `repro/zero_score_lookup.py`. -- **Observation:** 27 prefix bits uniquely selected all frozen inputs; 3,042,193 X/condition ops - fit the cap and had zero frozen failures, but the candidate stream had zero table hits and - 9,024 self-seeded classical failures. -- **Compression:** artifact identity and verifier draw are one endogenous, content-addressed state. -- **Forward prediction:** a table derived from another stream will have negligible overlap after - reseeding. 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__future__ import annotations - -import hashlib -import shutil -import struct -import subprocess -from pathlib import Path -from typing import Any, BinaryIO - -try: - import numpy as _numpy -except ImportError: - _numpy = None - -MAGIC = b"QECCOPSZ" -HEADER_BYTES = 16 -RECORD_BYTES = 56 -CANONICAL_RECORD_BYTES = 49 -MAX_OPS = 4_000_000_000 -NO_QUBIT = (1 << 64) - 1 -X_KIND = 6 -TAIL_RECORDS = 96 - - -def _zstd() -> str: - executable = shutil.which("zstd") - if executable is None: - raise RuntimeError("zstd executable not found") - return executable - - -def read_header(source: BinaryIO) -> tuple[bytes, int]: - header = source.read(HEADER_BYTES) - if len(header) != HEADER_BYTES: - raise ValueError("ops artifact is too short for its header") - if header[: len(MAGIC)] != MAGIC: - raise ValueError("ops artifact has invalid magic") - count = struct.unpack(" MAX_OPS: - raise ValueError(f"op count {count} exceeds cap {MAX_OPS}") - return header, count - - -def fingerprint(path: Path) -> dict[str, Any]: - compressed_hasher = hashlib.sha256() - with path.open("rb") as source: - header, count = read_header(source) - compressed_hasher.update(header) - while chunk := source.read(8 * 1024 * 1024): - compressed_hasher.update(chunk) - - canonical_hasher = hashlib.sha256(struct.pack("= len(kind_counts)) - if invalid_kinds.size: - index = int(invalid_kinds[0]) - raise ValueError( - f"unknown kind {int(kinds[index])} at op {decoded_records + index}" - ) - invalid_padding = _numpy.flatnonzero(_numpy.any(raw[:, 4:8] != 0, axis=1)) - if invalid_padding.size: - raise ValueError( - f"nonzero reserved padding at op {decoded_records + int(invalid_padding[0])}" - ) - counts = _numpy.bincount(kinds, minlength=len(kind_counts)) - kind_counts = [ - current + int(delta) for current, delta in zip(kind_counts, counts) - ] - canonical = _numpy.empty( - (len(kinds), CANONICAL_RECORD_BYTES), dtype=_numpy.uint8 - ) - canonical[:, 0] = kinds - canonical[:, 1:] = raw[:, 8:RECORD_BYTES] - canonical_hasher.update(canonical) - qubits = raw[:, 8:32].copy().view("= len(kind_counts): - raise ValueError(f"unknown kind {kind} at op {decoded_records}") - if records[offset + 4 : offset + 8].tobytes() != b"\0\0\0\0": - raise ValueError(f"nonzero reserved padding at op {decoded_records}") - kind_counts[kind] += 1 - canonical[canonical_offset] = kind - canonical[ - canonical_offset + 1 : canonical_offset + CANONICAL_RECORD_BYTES - ] = records[offset + 8 : offset + RECORD_BYTES] - for operand_offset in (offset + 8, offset + 16, offset + 24): - qubit = struct.unpack_from(" max_qubit_id: - max_qubit_id = qubit - canonical_offset += CANONICAL_RECORD_BYTES - decoded_records += 1 - canonical_hasher.update(canonical) - remainder = records[complete:].tobytes() - decoder.stdout.close() - stderr = decoder.stderr.read().decode("utf-8", errors="replace") if decoder.stderr else "" - if decoder.stderr: - decoder.stderr.close() - returncode = decoder.wait() - if returncode != 0: - raise RuntimeError(f"zstd decoder failed: {stderr.strip()}") - if remainder: - raise ValueError(f"decompressed body has {len(remainder)} trailing partial-record bytes") - if decoded_records != count: - raise ValueError(f"decoded {decoded_records} records, expected {count}") - return { - "emitted_ops": count, - "canonical_semantic_sha256": canonical_hasher.hexdigest(), - "compressed_ops_sha256": compressed_hasher.hexdigest(), - "max_referenced_qubit_id": max_qubit_id, - "qubits": max_qubit_id + 1, - "operation_kind_counts": kind_counts, - } - - -def decompress_record_body(source_path: Path, destination_path: Path) -> dict[str, Any]: - raw_hasher = hashlib.sha256() - with source_path.open("rb", buffering=0) as source: - _, count = read_header(source) - source.seek(HEADER_BYTES) - decoder = subprocess.Popen( - [_zstd(), "-d", "-q", "-c"], - stdin=source, - stdout=subprocess.PIPE, - stderr=subprocess.PIPE, - ) - assert decoder.stdout is not None - size = 0 - with destination_path.open("wb") as destination: - while chunk := decoder.stdout.read(8 * 1024 * 1024): - destination.write(chunk) - raw_hasher.update(chunk) - size += len(chunk) - decoder.stdout.close() - stderr = decoder.stderr.read().decode("utf-8", errors="replace") if decoder.stderr else "" - if decoder.stderr: - decoder.stderr.close() - returncode = decoder.wait() - expected_size = count * RECORD_BYTES - if returncode != 0: - raise RuntimeError(f"zstd decoder failed: {stderr.strip()}") - if size != expected_size: - raise ValueError(f"decompressed body has {size} bytes, expected {expected_size}") - return {"emitted_ops": count, "raw_bytes": size, "raw_sha256": raw_hasher.hexdigest()} - - -def write_nonce_artifact( - raw_records_path: Path, - destination_path: Path, - emitted_ops: int, - nonce: int, -) -> None: - if nonce < 0 or nonce >= 1 << 48: - raise ValueError("nonce must be a 48-bit unsigned integer") - expected_size = emitted_ops * RECORD_BYTES - if raw_records_path.stat().st_size != expected_size: - raise ValueError("raw record body size does not match emitted op count") - tail_bytes = TAIL_RECORDS * RECORD_BYTES - prefix_bytes = expected_size - tail_bytes - if prefix_bytes < 0: - raise ValueError("artifact is shorter than the protected nonce tail") - - destination_path.parent.mkdir(parents=True, exist_ok=True) - with raw_records_path.open("rb") as raw, destination_path.open("wb", buffering=0) as destination: - destination.write(MAGIC) - destination.write(struct.pack("> bit & 1 else 0 - for pair_offset in (2 * bit, 2 * bit + 1): - struct.pack_into(" int: - return score(self.average_toffoli, self.qubits) - - -@dataclass(frozen=True, slots=True) -class ArchiveNode: - candidate_id: str - parent_candidate_id: str | None - niche: str - iteration: int - status: str - frontier_submission_id: str - source_ref: str | None - artifact_ops_sha256: str | None - canonical_artifact_sha256: str | None - actual_score: int | None - average_toffoli: float | None - qubits: int | None - emitted_ops: int | None - predicted_score: float - prediction_standard_deviation: float - conservative_score: float - functioning: bool - reproducible: bool - functioning_children: int = 0 - emitter: str | None = None - evidence: str | None = None - - def to_mapping(self) -> dict[str, Any]: - return asdict(self) - - -@dataclass(frozen=True, slots=True) -class ParentChoice: - node: ArchiveNode - niche: str - iteration: int - ledger_tail_sha256: str - seed: int - rank_percentile: float - quality: float - weight: float - probability: float - - def to_mapping(self) -> dict[str, Any]: - result = asdict(self) - result["node"] = self.node.to_mapping() - return result - - -@dataclass(frozen=True, slots=True) -class StageResult: - stage: str - passed: bool - conclusion: str - evidence_kind: str - artifact_ops_sha256: str | None - canonical_artifact_sha256: str | None - measurement: dict[str, Any] | None - - -@dataclass(frozen=True, slots=True) -class PublicFrontier: - submission_id: str - source_ref: str - score: int - qubits: int - rounded_toffoli: int - - -_ANSI_ESCAPE = re.compile(r"\x1b\[[0-9;]*m") -_PUBLIC_ROW = re.compile( - r"^([0-9a-f]{7})\s+.*?\s+promoted\s+([0-9]+)\s+" - r'\{"qubits":([0-9]+),"toffoli":([0-9]+)\}.*?\s+' - r"([0-9a-f]{7,40})\s+[0-9]+/[0-9]+/[0-9]+", -) - - -def repo_root() -> Path: - return Path(__file__).resolve().parents[4] - - -def _records_of_type( - records: Sequence[Mapping[str, Any]], record_type: str -) -> list[Mapping[str, Any]]: - return [record for record in records if record.get("type") == record_type] - - -def _latest_by( - records: Iterable[Mapping[str, Any]], key: str -) -> dict[Any, Mapping[str, Any]]: - latest: dict[Any, Mapping[str, Any]] = {} - for record in records: - value = record.get(key) - if value is not None: - latest[value] = record - return latest - - -def _frontier_id(frontier: Mapping[str, Any]) -> str: - return f"{str(frontier['source_ref'])[:7]}-frontier" - - -def _clean_full_observation(record: Mapping[str, Any]) -> bool: - if ( - record.get("type") != "observation" - or record.get("stage") != "full" - or record.get("verdict") != "pass" - ): - return False - measurement = record.get("measurement") - if not isinstance(measurement, Mapping): - return False - try: - exact_score = score( - float(measurement["average_toffoli"]), - int(measurement["qubits"]), - ) - except (KeyError, TypeError, ValueError): - return False - return ( - measurement.get("shots") == FULL_SHOTS - and measurement.get("score") == exact_score - and all( - measurement.get(key) == 0 - for key in ( - "classical_failures", - "phase_garbage_batches", - "ancilla_garbage_batches", - ) - ) - ) - - -def _full_observations( - records: Sequence[Mapping[str, Any]], -) -> dict[int, Mapping[str, Any]]: - result: dict[int, Mapping[str, Any]] = {} - for record in records: - if record.get("type") == "observation" and record.get("stage") == "full": - result[int(record["iteration"])] = record - return result - - -def _submission_by_iteration( - records: Sequence[Mapping[str, Any]], -) -> dict[int, Mapping[str, Any]]: - result: dict[int, Mapping[str, Any]] = {} - for record in _records_of_type(records, "submission"): - if record.get("status") == "promoted": - result[int(record["iteration"])] = record - return result - - -def build_archive( - records: Sequence[Mapping[str, Any]], - *, - repo: Path | None = None, -) -> tuple[ArchiveNode, ...]: - """Rebuild the complete stepping-stone archive from ledger records.""" - if not records or records[0].get("type") != "frontier": - raise ValueError("archive requires a ledger beginning with frontier") - frontier = records[0] - root_id = _frontier_id(frontier) - root_metrics = Metrics( - average_toffoli=float(frontier["rounded_toffoli"]), - qubits=int(frontier["qubits"]), - ) - latest_candidates = _latest_by( - _records_of_type(records, "candidate"), "candidate_id" - ) - predictions = _latest_by( - _records_of_type(records, "prediction"), "candidate_id" - ) - predictions_by_iteration = { - int(record["iteration"]): record - for record in _records_of_type(records, "prediction") - } - candidate_ids_by_iteration: dict[int, set[str]] = {} - for candidate_id, candidate in latest_candidates.items(): - candidate_ids_by_iteration.setdefault(int(candidate["iteration"]), set()).add( - str(candidate_id) - ) - observations = _full_observations(records) - submissions = _submission_by_iteration(records) - - candidate_ids = set(predictions) | set(latest_candidates) - parent_ids = { - str(record.get("parent_candidate_id")) - for record in (*predictions.values(), *latest_candidates.values()) - if record.get("parent_candidate_id") - } - unresolved_parent_ids = sorted(parent_ids - candidate_ids - {root_id}) - root = ArchiveNode( - candidate_id=root_id, - parent_candidate_id=None, - niche=_FRONTIER_NICHE, - iteration=0, - status="promoted", - frontier_submission_id=str(frontier["submission_id"]), - source_ref=str(frontier["source_ref"]), - artifact_ops_sha256=str(frontier["ops_sha256"]), - canonical_artifact_sha256=str(frontier["canonical_ops_sha256"]), - actual_score=int(frontier["score"]), - average_toffoli=root_metrics.average_toffoli, - qubits=root_metrics.qubits, - emitted_ops=None, - predicted_score=float(frontier["score"]), - prediction_standard_deviation=0.0, - conservative_score=float(frontier["score"]), - functioning=True, - reproducible=( - repo is None or _ref_commit(repo, str(frontier["source_ref"])) is not None - ), - evidence="initial trusted frontier", - ) - metrics: dict[str, Metrics] = {root_id: root_metrics} - nodes: dict[str, ArchiveNode] = {root_id: root} - for alias in unresolved_parent_ids: - nodes[alias] = ArchiveNode( - candidate_id=alias, - parent_candidate_id=None, - niche=_FRONTIER_NICHE, - iteration=0, - status="retired", - frontier_submission_id=str(frontier["submission_id"]), - source_ref=None, - artifact_ops_sha256=None, - canonical_artifact_sha256=None, - actual_score=None, - average_toffoli=None, - qubits=None, - emitted_ops=None, - predicted_score=WORST_SCORE, - prediction_standard_deviation=WORST_SCORE, - conservative_score=WORST_SCORE, - functioning=False, - reproducible=False, - evidence="unresolved external parent placeholder", - ) - - unresolved = set(candidate_ids) - while unresolved: - progressed = False - for candidate_id in sorted(unresolved): - prediction = predictions.get(candidate_id) - candidate = latest_candidates.get(candidate_id) - inherited_prediction = ( - predictions_by_iteration.get(int(candidate["iteration"])) - if candidate is not None - else None - ) - model_prediction = prediction or inherited_prediction - source = candidate or prediction - if source is None: - unresolved.remove(candidate_id) - progressed = True - continue - parent_id = str(source.get("parent_candidate_id") or root_id) - parent_metrics = metrics.get(parent_id) - if parent_metrics is None and parent_id in unresolved: - continue - if parent_metrics is None: - parent_metrics = root_metrics - - iteration = int( - source.get( - "iteration", - model_prediction.get("iteration", 0) if model_prediction else 0, - ) - ) - retained_ids = candidate_ids_by_iteration.get(iteration, set()) - owns_iteration_evidence = candidate is not None or not retained_ids - full = observations.get(iteration) if owns_iteration_evidence else None - submission = submissions.get(iteration) if owns_iteration_evidence else None - actual_metrics: Metrics | None = None - actual_score: int | None = None - if full is not None and isinstance(full.get("measurement"), Mapping): - measurement = full["measurement"] - if "average_toffoli" in measurement and "qubits" in measurement: - actual_metrics = Metrics( - float(measurement["average_toffoli"]), - int(measurement["qubits"]), - ) - actual_score = int(measurement.get("score", actual_metrics.score)) - if candidate is not None and all( - key in candidate - for key in ("actual_average_toffoli", "actual_qubits", "actual_score") - ): - actual_metrics = Metrics( - float(candidate["actual_average_toffoli"]), - int(candidate["actual_qubits"]), - ) - actual_score = int(candidate["actual_score"]) - if submission is not None: - actual_score = int(submission["official_score"]) - - predicted_metrics = parent_metrics - conservative = float(parent_metrics.score) - predicted_score = float(parent_metrics.score) - predicted_sigma = 0.0 - if model_prediction is not None: - predicted_metrics = Metrics( - max( - 0.0, - parent_metrics.average_toffoli - + float(model_prediction["delta_toffoli_mean"]), - ), - max( - 0, - parent_metrics.qubits - + int(model_prediction["delta_qubits"]), - ), - ) - upper_metrics = Metrics( - max( - 0.0, - predicted_metrics.average_toffoli - + 2.0 - * float( - model_prediction["delta_toffoli_standard_deviation"] - ), - ), - predicted_metrics.qubits, - ) - predicted_score = float(predicted_metrics.score) - conservative = float(upper_metrics.score) - predicted_sigma = max(0.0, (conservative - predicted_score) / 2.0) - if actual_metrics is not None: - metrics[candidate_id] = actual_metrics - predicted_score = float(actual_score if actual_score is not None else actual_metrics.score) - conservative = predicted_score - predicted_sigma = 0.0 - else: - metrics[candidate_id] = predicted_metrics - - status = str(candidate.get("status", "retired") if candidate else "retired") - functioning = ( - status == "promoted" - or (full is not None and _clean_full_observation(full)) - or submission is not None - ) - source_ref = None - if candidate is not None and candidate.get("source_ref"): - source_ref = str(candidate["source_ref"]) - elif submission is not None and submission.get("source_ref"): - source_ref = str(submission["source_ref"]) - archived_ref = candidate_ref(str(candidate_id)) - reproducible = bool( - repo is not None - and ( - _ref_commit(repo, archived_ref) - or (source_ref and _ref_commit(repo, source_ref)) - ) - ) - if repo is None: - reproducible = bool(source_ref) - node = ArchiveNode( - candidate_id=str(candidate_id), - parent_candidate_id=parent_id, - niche=str(source.get("niche", _FRONTIER_NICHE)), - iteration=iteration, - status=status, - frontier_submission_id=( - str(submission["submission_id"]) - if submission is not None - else ( - str(candidate["official_submission_id"]) - if candidate is not None - and candidate.get("official_submission_id") - else ( - str(candidate["parent_frontier_submission_id"]) - if candidate is not None - and candidate.get("parent_frontier_submission_id") - else nodes.get(parent_id, root).frontier_submission_id - ) - ) - ), - source_ref=source_ref, - artifact_ops_sha256=( - str(candidate["artifact_ops_sha256"]) - if candidate is not None and candidate.get("artifact_ops_sha256") - else ( - str(full["artifact_ops_sha256"]) - if full is not None and full.get("artifact_ops_sha256") - else None - ) - ), - canonical_artifact_sha256=( - str(candidate["canonical_artifact_sha256"]) - if candidate is not None - and candidate.get("canonical_artifact_sha256") - else None - ), - actual_score=actual_score, - average_toffoli=metrics[candidate_id].average_toffoli, - qubits=metrics[candidate_id].qubits, - emitted_ops=( - int(candidate["emitted_ops"]) - if candidate is not None and candidate.get("emitted_ops") is not None - else None - ), - predicted_score=predicted_score, - prediction_standard_deviation=predicted_sigma, - conservative_score=conservative, - functioning=functioning, - reproducible=reproducible, - emitter=( - str(candidate["emitter"]) - if candidate is not None and candidate.get("emitter") - else None - ), - evidence=( - str(candidate["evidence"]) - if candidate is not None and candidate.get("evidence") - else None - ), - ) - nodes[candidate_id] = node - unresolved.remove(candidate_id) - progressed = True - if not progressed: - # A malformed lineage must remain inspectable rather than hanging. - for candidate_id in sorted(unresolved): - prediction = predictions.get(candidate_id) - candidate = latest_candidates.get(candidate_id) - source = candidate or prediction or {} - nodes[candidate_id] = ArchiveNode( - candidate_id=str(candidate_id), - parent_candidate_id=( - str(source["parent_candidate_id"]) - if source.get("parent_candidate_id") - else root_id - ), - niche=str(source.get("niche", _FRONTIER_NICHE)), - iteration=int(source.get("iteration", 0)), - status=str(source.get("status", "retired")), - frontier_submission_id=root.frontier_submission_id, - source_ref=None, - artifact_ops_sha256=None, - canonical_artifact_sha256=None, - actual_score=None, - average_toffoli=None, - qubits=None, - emitted_ops=None, - predicted_score=float(frontier["score"]), - prediction_standard_deviation=0.0, - conservative_score=float(frontier["score"]), - functioning=False, - reproducible=False, - evidence="unresolved lineage", - ) - break - - child_counts: dict[str, int] = {} - for node in nodes.values(): - if node.functioning and node.reproducible and node.parent_candidate_id is not None: - child_counts[node.parent_candidate_id] = ( - child_counts.get(node.parent_candidate_id, 0) + 1 - ) - return tuple( - replace(node, functioning_children=child_counts.get(node.candidate_id, 0)) - for node in sorted(nodes.values(), key=lambda item: (item.iteration, item.candidate_id)) - ) - - -def selection_seed(iteration: int, ledger_tail_sha256: str) -> int: - material = f"dgm-search-v1:{iteration}:{ledger_tail_sha256}".encode() - return int.from_bytes(hashlib.sha256(material).digest()[:16], "big") - - -def select_emitter( - records: Sequence[Mapping[str, Any]], - *, - iteration: int, - ledger_tail_sha256: str, -) -> dict[str, Any]: - if iteration == 63: - return {"emitter": "literature", "reason": "first post-62 transfer"} - last_observation = next( - ( - record - for record in reversed(records) - if record.get("type") == "observation" - ), - None, - ) - if last_observation is not None and last_observation.get("prediction_match") is False: - return {"emitter": "abductor", "reason": "latest result mismatched prediction"} - attempts = {emitter: 0 for emitter in EMITTERS} - contributions = {emitter: 0 for emitter in EMITTERS} - for record in _records_of_type(records, "candidate"): - emitter = record.get("emitter") - if emitter not in attempts: - continue - attempts[str(emitter)] += 1 - contributions[str(emitter)] += int( - record.get("archive_contribution") is True - ) - total = sum(attempts.values()) - scores: dict[str, float] = {} - for emitter in EMITTERS: - count = attempts[emitter] - scores[emitter] = ( - math.inf - if count == 0 - else contributions[emitter] / count - + math.sqrt(2.0 * math.log(total + 1.0) / count) - ) - best = max(scores.values()) - tied = sorted(emitter for emitter, value in scores.items() if value == best) - index = selection_seed(iteration, ledger_tail_sha256) % len(tied) - return { - "emitter": tied[index], - "reason": "UCB on archive-cell contribution", - "attempts": attempts, - "contributions": contributions, - "ucb": { - emitter: (None if math.isinf(value) else value) - for emitter, value in scores.items() - }, - } - - -def parent_distribution( - nodes: Sequence[ArchiveNode], - niche: str, -) -> tuple[tuple[ArchiveNode, float, float, float, float], ...]: - """Return node, rank percentile, quality, weight, probability.""" - if niche not in NICHES: - raise ValueError(f"unknown niche {niche}") - # The portfolio chooses the problem niche; it does not erase useful - # stepping stones from other cells. This also permits recombination from a - # distant lineage while keeping the proposed mechanism targeted at `niche`. - eligible = [ - node for node in nodes if node.functioning and node.reproducible - ] - if not eligible: - raise ValueError(f"no functioning parent for niche {niche}") - ranked = sorted(eligible, key=lambda node: (node.conservative_score, node.candidate_id)) - weighted: list[tuple[ArchiveNode, float, float, float]] = [] - denominator = max(1, len(ranked) - 1) - for rank, node in enumerate(ranked): - percentile = rank / denominator if len(ranked) > 1 else 0.0 - quality = math.exp(-2.0 * percentile) - weight = (0.05 + quality) / (1.0 + node.functioning_children) - weighted.append((node, percentile, quality, weight)) - total = sum(item[3] for item in weighted) - return tuple((*item, item[3] / total) for item in weighted) - - -def choose_parent( - nodes: Sequence[ArchiveNode], - *, - niche: str, - iteration: int, - ledger_tail_sha256: str, -) -> ParentChoice: - distribution = parent_distribution(nodes, niche) - seed = selection_seed(iteration, ledger_tail_sha256) - draw = random.Random(seed).random() - cumulative = 0.0 - selected = distribution[-1] - for item in distribution: - cumulative += item[4] - if draw < cumulative: - selected = item - break - node, percentile, quality, weight, probability = selected - return ParentChoice( - node=node, - niche=niche, - iteration=iteration, - ledger_tail_sha256=ledger_tail_sha256, - seed=seed, - rank_percentile=percentile, - quality=quality, - weight=weight, - probability=probability, - ) - - -def candidate_ref(candidate_id: str) -> str: - if not _CANDIDATE_ID.fullmatch(candidate_id) or ".." in candidate_id: - raise ValueError(f"candidate id is not safe for a Git ref: {candidate_id!r}") - reference = f"{CANDIDATE_REF_PREFIX}/{candidate_id}" - if subprocess.run( - ["git", "check-ref-format", reference], - capture_output=True, - ).returncode: - raise ValueError(f"candidate id is not a valid Git ref: {candidate_id!r}") - return reference - - -def sanitized_environment( - source: Mapping[str, str] | None = None, -) -> dict[str, str]: - """Strip credentials and process-injection variables from child agents.""" - environment = dict(os.environ if source is None else source) - for key in tuple(environment): - upper = key.upper() - if ( - key in _DANGEROUS_ENV - or upper in _PROXY_ENV - or any(marker in upper for marker in _SECRET_MARKERS) - ): - environment.pop(key, None) - environment["CARGO_NET_OFFLINE"] = "true" - return environment - - -def validate_mutation_paths(paths: Iterable[str]) -> tuple[str, ...]: - """Reject every mutation outside Rust implementation files in point_add.""" - accepted: list[str] = [] - for raw in paths: - path = Path(raw) - if path.is_absolute() or ".." in path.parts: - raise ValueError(f"unsafe mutation path: {raw}") - if ( - not path.is_relative_to(ALLOWED_MUTATION_ROOT) - or path.suffix not in ALLOWED_MUTATION_SUFFIXES - or "memory" in path.parts - ): - raise ValueError(f"mutation escaped editable Rust surface: {raw}") - accepted.append(path.as_posix()) - if not accepted: - raise ValueError("mutation produced no editable Rust changes") - return tuple(sorted(set(accepted))) - - -def validate_mutation_tree(worktree: Path, paths: Iterable[str]) -> tuple[str, ...]: - accepted = validate_mutation_paths(paths) - for raw in accepted: - path = worktree / raw - if path.is_symlink(): - raise ValueError(f"mutation created a symlink: {raw}") - if path.exists() and not path.is_file(): - raise ValueError(f"mutation created a non-file path: {raw}") - summary = _git_output(worktree, "diff", "--summary") - if any( - marker in summary - for marker in ("mode change", "create mode 120000", "Subproject commit") - ): - raise ValueError(f"mutation changed file type or mode: {summary}") - return accepted - - -def semantic_noop( - artifact: Mapping[str, Any], - *, - parent_compressed_sha256: str, - parent_canonical_sha256: str | None, -) -> bool: - if parent_canonical_sha256: - return artifact.get("canonical_semantic_sha256") == parent_canonical_sha256 - return artifact.get("compressed_ops_sha256") == parent_compressed_sha256 - - -def validate_and_apply_patch(worktree: Path, patch: str) -> tuple[str, ...]: - if len(patch.encode("utf-8")) > 2 * 1024 * 1024: - raise ValueError("mutation patch exceeds 2 MiB") - forbidden = ( - "GIT binary patch", - "Binary files ", - "old mode ", - "new mode ", - "similarity index ", - "rename from ", - "rename to ", - "Subproject commit ", - ) - if any(marker in patch for marker in forbidden): - raise ValueError("mutation patch contains binary, mode, rename, or submodule data") - headers = re.findall(r"^diff --git a/(\S+) b/(\S+)$", patch, flags=re.MULTILINE) - if not headers: - raise ValueError("mutation output is not a Git unified diff") - header_paths: list[str] = [] - for before, after in headers: - if before != after: - raise ValueError("mutation patch may not rename files") - header_paths.append(after) - validate_mutation_paths(header_paths) - for arguments in (("--check", "--whitespace=error-all"), ()): - completed = subprocess.run( - ["git", "-C", str(worktree), "apply", *arguments, "-"], - input=patch, - capture_output=True, - text=True, - ) - if completed.returncode: - raise ValueError(f"git apply failed: {completed.stderr.strip()}") - changed = _changed_paths(worktree) - return validate_mutation_tree(worktree, changed) - - -def verify_upstream_clone(repo: Path) -> dict[str, Any]: - clone = repo / ".autoresearch/upstream/dgm" - if not clone.is_dir(): - raise ValueError(f"missing pinned DGM clone: {clone}") - head = _git_output(clone, "rev-parse", "HEAD") - origin = _git_output(clone, "remote", "get-url", "origin") - if head != DGM_UPSTREAM_REVISION: - raise ValueError(f"DGM revision mismatch: {head}") - if origin.rstrip("/") != DGM_UPSTREAM_URL.rstrip("/"): - raise ValueError(f"DGM origin mismatch: {origin}") - return {"path": str(clone), "origin": origin, "revision": head, "verdict": "green"} - - -def _git_output(repo: Path, *arguments: str) -> str: - completed = subprocess.run( - ["git", "-C", str(repo), *arguments], - check=True, - capture_output=True, - text=True, - ) - return completed.stdout.strip() - - -def _ref_commit(repo: Path, reference: str) -> str | None: - completed = subprocess.run( - ["git", "-C", str(repo), "rev-parse", "--verify", "--quiet", f"{reference}^{{commit}}"], - capture_output=True, - text=True, - ) - return completed.stdout.strip() or None - - -def resolve_parent_ref(repo: Path, node: ArchiveNode) -> str: - archived = candidate_ref(node.candidate_id) - if _ref_commit(repo, archived): - return archived - if node.source_ref and _ref_commit(repo, node.source_ref): - return node.source_ref - raise ValueError( - f"parent {node.candidate_id} has no local candidate ref or resolvable source ref" - ) - - -def _best_score(records: Sequence[Mapping[str, Any]]) -> int: - scores = [int(records[0]["score"])] - scores.extend( - int(record["official_score"]) - for record in _records_of_type(records, "submission") - if record.get("status") == "promoted" - ) - scores.extend( - int(record["actual_score"]) - for record in _records_of_type(records, "candidate") - if record.get("status") == "promoted" - and record.get("official_submission_id") - and record.get("actual_score") is not None - ) - for record in records: - if _clean_full_observation(record): - measurement = record.get("measurement") - if isinstance(measurement, Mapping) and "score" in measurement: - scores.append(int(measurement["score"])) - return min(scores) - - -def parse_public_frontier_table(output: str) -> PublicFrontier: - rows: list[PublicFrontier] = [] - for raw in output.splitlines(): - line = _ANSI_ESCAPE.sub("", raw) - match = _PUBLIC_ROW.match(line) - if match is None: - continue - submission, raw_score, raw_qubits, raw_toffoli, source = match.groups() - rows.append( - PublicFrontier( - submission_id=submission, - source_ref=source, - score=int(raw_score), - qubits=int(raw_qubits), - rounded_toffoli=int(raw_toffoli), - ) - ) - if not rows: - raise ValueError("could not parse any promoted public frontier rows") - return min(rows, key=lambda row: (row.score, row.submission_id)) - - -def refresh_public_frontier(repo: Path, *, timeout: int = 120) -> PublicFrontier: - completed = _run_with_timeout( - ["ecdsafail", "submissions", "--all"], - cwd=repo, - environment=sanitized_environment(), - timeout=timeout, - ) - if completed.returncode: - raise RuntimeError(f"public frontier refresh failed: {completed.stderr[-1000:]}") - short = parse_public_frontier_table(completed.stdout) - main_rows = _git_ls_remote(repo, "refs/heads/main") - if len(main_rows) != 1 or not main_rows[0][0].startswith(short.source_ref): - raise RuntimeError("public table and origin/main advanced inconsistently; retry") - submission_rows = _git_ls_remote( - repo, f"refs/heads/submissions/{short.submission_id}*" - ) - if len(submission_rows) != 1: - raise RuntimeError( - f"could not resolve public submission {short.submission_id} to one full id" - ) - full_submission_id = submission_rows[0][1].rsplit("/", 1)[-1] - return replace( - short, - submission_id=full_submission_id, - source_ref=main_rows[0][0], - ) - - -def _git_ls_remote(repo: Path, pattern: str) -> list[tuple[str, str]]: - completed = subprocess.run( - ["git", "-C", str(repo), "ls-remote", "origin", pattern], - check=True, - capture_output=True, - text=True, - ) - rows: list[tuple[str, str]] = [] - for line in completed.stdout.splitlines(): - if not line.strip(): - continue - commit, reference = line.split("\t", 1) - rows.append((commit, reference)) - return rows - - -def ensure_ready(records: Sequence[Mapping[str, Any]]) -> dict[str, Any]: - report = backtest(tuple(dict(record) for record in records)) - if report["verdict"] != "green": - raise ValueError(f"schema harness is red: {report['failures']}") - if report["pending_iteration"] is not None: - raise ValueError(f"iteration {report['pending_iteration']} is still pending") - if report["iterations_started"] >= MAX_ITERATIONS: - raise ValueError(f"iteration cap {MAX_ITERATIONS} reached") - if _best_score(records) == 0: - raise ValueError("certified score-zero stop condition reached") - return report - - -def pending_dgm_prediction( - records: Sequence[Mapping[str, Any]], -) -> Mapping[str, Any] | None: - report = backtest(tuple(dict(record) for record in records)) - pending = report.get("pending_iteration") - if pending is None: - return None - for record in reversed(records): - if ( - record.get("type") == "prediction" - and record.get("iteration") == pending - and str(record.get("candidate_id", "")).startswith("dgm-i") - ): - return record - return None - - -def recover_pending_infrastructure_error( - ledger: Path, - *, - conclusion: str, -) -> dict[str, Any]: - """Close only a DGM-owned pending iteration after an infrastructure crash.""" - records = load_ledger(ledger) - prediction = pending_dgm_prediction(records) - if prediction is None: - raise ValueError("there is no pending DGM iteration to recover") - observation = { - "type": "observation", - "iteration": int(prediction["iteration"]), - "observation_id": f"{prediction['candidate_id']}-infrastructure-error", - "stage": "hash", - "evidence_kind": EvidenceKind.NARRATIVE.value, - "verdict": "error", - "artifact_ops_sha256": None, - "prediction_match": None, - "measurement": None, - "conclusion": conclusion, - } - return append_payload(ledger, observation) - - -def archive_report( - records: Sequence[Mapping[str, Any]], - *, - repo: Path | None = None, -) -> dict[str, Any]: - report = backtest(tuple(dict(record) for record in records)) - nodes = build_archive(records, repo=repo) - next_iteration = int(report["iterations_started"]) + 1 - niche = str(report["portfolio"]["selected_niche"]) - choice = choose_parent( - nodes, - niche=niche, - iteration=next_iteration, - ledger_tail_sha256=str(report["tail_sha256"]), - ) - mapping: dict[str, Any] = { - "schema_version": 1, - "derived_from_tail_sha256": report["tail_sha256"], - "iterations_started": report["iterations_started"], - "best_score": _best_score(records), - "next_niche": niche, - "next_emitter": select_emitter( - records, - iteration=next_iteration, - ledger_tail_sha256=str(report["tail_sha256"]), - ), - "nodes": [node.to_mapping() for node in nodes], - "next_parent": choice.to_mapping(), - } - if repo is not None: - mapping["next_parent"]["resolvable_ref"] = ( - resolve_parent_ref(repo, choice.node) - if ( - _ref_commit(repo, candidate_ref(choice.node.candidate_id)) - or (choice.node.source_ref and _ref_commit(repo, choice.node.source_ref)) - ) - else None - ) - return mapping - - -def _atomic_json(path: Path, value: Mapping[str, Any]) -> None: - path.parent.mkdir(parents=True, exist_ok=True) - encoded = json.dumps(value, sort_keys=True, indent=2) + "\n" - with tempfile.NamedTemporaryFile( - "w", encoding="utf-8", dir=path.parent, delete=False - ) as destination: - destination.write(encoded) - temporary = Path(destination.name) - os.replace(temporary, path) - - -@contextmanager -def controller_lock(path: Path) -> Iterable[None]: - path.parent.mkdir(parents=True, exist_ok=True) - with path.open("a+", encoding="utf-8") as lock: - try: - fcntl.flock(lock.fileno(), fcntl.LOCK_EX | fcntl.LOCK_NB) - except BlockingIOError as error: - raise RuntimeError(f"another DGM controller holds {path}") from error - try: - yield - finally: - fcntl.flock(lock.fileno(), fcntl.LOCK_UN) - - -def _slug(value: str) -> str: - slug = re.sub(r"[^A-Za-z0-9._-]+", "-", value.strip()).strip(".-") - slug = re.sub(r"-+", "-", slug)[:48] - return slug or "candidate" - - -def _proposal_to_prediction( - proposal: Mapping[str, Any], - *, - iteration: int, - niche: str, - parent: ArchiveNode, -) -> dict[str, Any]: - action_kind = ActionKind(str(proposal["action_kind"])) - if action_kind in {ActionKind.NO_EFFECT, ActionKind.PROMOTION}: - raise ValueError(f"invalid mutation action kind: {action_kind.value}") - candidate_id = f"dgm-i{iteration:03d}-{_slug(str(proposal['candidate_id']))}" - candidate_ref(candidate_id) - parent_hash = parent.artifact_ops_sha256 - if parent_hash is None: - raise ValueError(f"parent {parent.candidate_id} has no exact artifact hash") - return { - "type": "prediction", - "iteration": iteration, - "niche": niche, - "action_kind": action_kind.value, - "candidate_id": candidate_id, - "parent_candidate_id": parent.candidate_id, - "parent_frontier_submission_id": parent.frontier_submission_id, - "parent_ops_sha256": parent_hash, - "parent_canonical_artifact_sha256": parent.canonical_artifact_sha256, - "parent_average_toffoli": parent.average_toffoli, - "parent_qubits": parent.qubits, - "mechanism": str(proposal["mechanism"]), - "delta_qubits": int(proposal["delta_qubits"]), - "delta_toffoli_mean": float(proposal["delta_toffoli_mean"]), - "delta_toffoli_standard_deviation": float( - proposal["delta_toffoli_standard_deviation"] - ), - "correctness_risk": str(proposal["correctness_risk"]), - "full_verification_budget": int(proposal["full_verification_budget"]), - "expected_invalidations": sorted( - dependency.value for dependency in action_impact(action_kind).invalidated - ), - "falsifier": str(proposal["falsifier"]), - } - - -def diagnosis_prompt( - *, - choice: ParentChoice, - records: Sequence[Mapping[str, Any]], - first_literature_transfer: bool, - emitter: str, -) -> str: - mode = ( - "This is the first DGM iteration after iteration 62. Start with a filtered " - "literature transfer from both briefs below." - if first_literature_transfer - else "Use literature only when it directly attacks the selected niche." - ) - emitter_job = { - "refiner": "Improve the selected parent locally.", - "recombiner": "Import a mechanism from a distant archive lineage into the selected parent.", - "literature": "Transfer one unused external technique through the verifier contract.", - "cold-start": "Reason independently from the verifier/ceiling contract, without prior attempt history.", - "abductor": "Explain the latest mismatch and propose its strongest discriminating successor.", - }[emitter] - context_instruction = ( - "Do not read measurements.jsonl or prior research memory; use only the " - "verifier contract and source code." - if emitter == "cold-start" - else ( - "Read the complete copied ledger at " - ".autoresearch/context/measurements.jsonl and grep raw local " - "memory/code as needed." - ) - ) - return f"""You are the read-only diagnosis phase of a verifier-first circuit search. - -Goal: minimize the exact ECDSA Fail score toward the proved floor 0. Reality and -the trusted verifier outrank every model. Propose exactly one falsifiable mutation; -do not edit files in this phase. - -Iteration: {choice.iteration} -Emitter: {emitter} -Emitter job: {emitter_job} -Selected niche: {choice.niche} — {NICHES[choice.niche]} -Parent: {json.dumps(choice.node.to_mapping(), sort_keys=True)} -Ledger tail: {choice.ledger_tail_sha256} -Best certified score: {_best_score(records)} -Selection seed: {choice.seed} - -{mode} -Literature briefs: -{json.dumps(LITERATURE_TRANSFERS, indent=2)} - -{context_instruction} -Do not use hidden tests, benchmark-private -answers, leaderboard guesses, or an LLM judge. Approximate arithmetic is not -evidence. Preserve the exact ABI, reversibility, phase, ancilla cleanup, and the -self-seeded Fiat-Shamir draw. - -Your JSON prediction must estimate delta executed Toffoli (mean and standard -deviation), delta qubits, name the dominant correctness risk, give a concrete -falsifier, and provide implementation instructions restricted to Rust files -under src/point_add (never memory/, verifier, simulator, benchmark, config, or -tests). A full-verification budget of 1 is allowed only when the conservative -prediction can strictly beat the certified frontier. -""" - - -def mutation_prompt( - prediction: Mapping[str, Any], - mutation_instructions: str, -) -> str: - return f"""Produce a patch for the preregistered ECDSA Fail candidate. - -Prediction (already committed to the external hash-chained ledger): -{json.dumps(dict(prediction), sort_keys=True, indent=2)} - -Mutation instructions: -{mutation_instructions} - -You are read-only. Return one Git unified diff; the controller validates and -applies it. The patch may touch only existing or new *.rs files under src/point_add, excluding -src/point_add/memory. Do not edit the verifier, simulator, Cargo files, -benchmark scripts, tests, memory, configuration, Git metadata, or .autoresearch. -Do not run benchmark.sh, eval_circuit, ecdsafail, or any full verifier. Do not -access the network or credentials. Do not emit binary patches, mode changes, -renames, symlinks, or submodules. Keep the diff minimal and describe it in the -summary field. The controller owns all mutation, build, and verification. -""" - - -def _prepare_context( - worktree: Path, - ledger: Path, - source_repo: Path, - *, - include_history: bool, -) -> None: - context = worktree / ".autoresearch/context" - context.mkdir(parents=True, exist_ok=True) - if include_history: - shutil.copy2(ledger, context / "measurements.jsonl") - memory = source_repo / "src/point_add/memory" - for name in ( - "CEILING.md", - "RIG.md", - "06-research-status.md", - "reframe_log.md", - "niche_portfolio.json", - ): - source = memory / name - if include_history and source.is_file(): - shutil.copy2(source, context / name) - - -def _run_with_timeout( - command: Sequence[str], - *, - cwd: Path, - environment: Mapping[str, str], - timeout: int, - stdin: str | None = None, -) -> subprocess.CompletedProcess[str]: - process = subprocess.Popen( - list(command), - cwd=cwd, - env=dict(environment), - stdin=subprocess.PIPE if stdin is not None else None, - stdout=subprocess.PIPE, - stderr=subprocess.PIPE, - text=True, - start_new_session=True, - ) - try: - stdout, stderr = process.communicate(stdin, timeout=timeout) - except subprocess.TimeoutExpired: - os.killpg(process.pid, signal.SIGKILL) - stdout, stderr = process.communicate() - raise TimeoutError(f"command timed out after {timeout}s: {command[0]}") from None - return subprocess.CompletedProcess(command, process.returncode, stdout, stderr) - - -def _run_codex( - *, - worktree: Path, - attempt: Path, - phase: str, - prompt: str, - schema: Mapping[str, Any] | None, - sandbox: str, - timeout: int, -) -> Mapping[str, Any] | str: - trace = attempt / "trace" - trace.mkdir(parents=True, exist_ok=True) - schema_path = attempt / f"{phase}-schema.json" - final_path = attempt / f"{phase}-final.txt" - command = [ - "codex", - "exec", - "--ephemeral", - "--ignore-user-config", - "--sandbox", - sandbox, - "-c", - "sandbox_workspace_write.network_access=false", - "-c", - "sandbox_workspace_write.exclude_slash_tmp=true", - "-c", - "sandbox_workspace_write.exclude_tmpdir_env_var=true", - "-c", - "shell_environment_policy.inherit=none", - "-c", - "approval_policy=never", - "-C", - str(worktree), - "--json", - "--color", - "never", - "-o", - str(final_path), - ] - if schema is not None: - _atomic_json(schema_path, schema) - command.extend(["--output-schema", str(schema_path)]) - command.append("-") - completed = _run_with_timeout( - command, - cwd=worktree, - environment=sanitized_environment(), - timeout=timeout, - stdin=prompt, - ) - (trace / f"{phase}.jsonl").write_text(completed.stdout, encoding="utf-8") - (trace / f"{phase}.stderr.log").write_text(completed.stderr, encoding="utf-8") - if completed.returncode: - raise RuntimeError( - f"Codex {phase} failed ({completed.returncode}): {completed.stderr[-1000:]}" - ) - final = final_path.read_text(encoding="utf-8") - if schema is None: - return final - value = json.loads(final) - if not isinstance(value, Mapping): - raise ValueError(f"Codex {phase} output was not an object") - return value - - -def _add_worktree(repo: Path, root: Path, iteration: int, parent_ref: str) -> Path: - root.mkdir(parents=True, exist_ok=True) - path = Path(tempfile.mkdtemp(prefix=f"i{iteration:03d}-", dir=root)) - path.rmdir() - subprocess.run( - ["git", "-C", str(repo), "worktree", "add", "--detach", str(path), parent_ref], - check=True, - capture_output=True, - text=True, - ) - return path - - -def _remove_worktree(repo: Path, root: Path, worktree: Path) -> None: - resolved_root = root.resolve() - resolved = worktree.resolve() - if not resolved.is_relative_to(resolved_root): - raise ValueError(f"refusing to remove unmanaged worktree: {resolved}") - subprocess.run( - ["git", "-C", str(repo), "worktree", "remove", "--force", str(worktree)], - check=True, - capture_output=True, - text=True, - ) - - -def _changed_paths(worktree: Path) -> tuple[str, ...]: - completed = subprocess.run( - ["git", "-C", str(worktree), "status", "--porcelain", "-z"], - check=True, - capture_output=True, - text=True, - ) - output = completed.stdout - if not output: - return () - paths: list[str] = [] - fields = output.split("\0") - index = 0 - while index < len(fields): - field = fields[index] - if not field: - break - status = field[:2] - path = field[3:] - if status[0] in {"R", "C"} or status[1] in {"R", "C"}: - index += 1 - if index < len(fields): - path = fields[index] - paths.append(path) - index += 1 - return tuple(paths) - - -def _commit_candidate( - repo: Path, - worktree: Path, - prediction: Mapping[str, Any], - paths: Sequence[str], -) -> str: - message = f"feat(point-add): test {prediction['candidate_id']}" - subprocess.run( - ["committer", message, *paths], - cwd=worktree, - check=True, - capture_output=True, - text=True, - env=sanitized_environment(), - ) - commit = _git_output(worktree, "rev-parse", "HEAD") - reference = candidate_ref(str(prediction["candidate_id"])) - existing = _ref_commit(repo, reference) - if existing is not None and existing != commit: - raise RuntimeError(f"candidate ref already exists at a different commit: {reference}") - subprocess.run( - [ - "git", - "-C", - str(repo), - "update-ref", - reference, - commit, - existing or ("0" * 40), - ], - check=True, - capture_output=True, - text=True, - ) - return commit - - -def _sandbox_command( - command: Sequence[str], - *, - cwd: Path, - writable: Sequence[Path], - timeout: int, - environment: Mapping[str, str], -) -> subprocess.CompletedProcess[str]: - system = os.uname().sysname - if system == "Darwin" and shutil.which("sandbox-exec"): - grants = "".join( - f'(allow file-write* (subpath "{path.resolve()}"))' for path in writable - ) - profile = f"(version 1)(allow default)(deny network*)(deny file-write*){grants}" - wrapped = ["sandbox-exec", "-p", profile, *command] - elif shutil.which("bwrap"): - wrapped = [ - "bwrap", - "--ro-bind", - "/", - "/", - "--dev", - "/dev", - "--proc", - "/proc", - "--unshare-net", - "--die-with-parent", - ] - for path in writable: - wrapped.extend(["--bind", str(path.resolve()), str(path.resolve())]) - wrapped.extend(["--chdir", str(cwd.resolve()), "--", *command]) - else: - raise RuntimeError("no fail-closed sandbox (sandbox-exec or bwrap) is available") - return _run_with_timeout( - wrapped, - cwd=cwd, - environment=environment, - timeout=timeout, - ) - - -def _build_artifact( - worktree: Path, - attempt: Path, - *, - timeout: int, -) -> dict[str, Any]: - trace = attempt / "trace" - target = attempt / "target" - scratch = attempt / "build-scratch" - target.mkdir(parents=True, exist_ok=True) - scratch.mkdir(parents=True, exist_ok=True) - environment = sanitized_environment() - environment["CARGO_TARGET_DIR"] = str(target) - build = _run_with_timeout( - [ - "cargo", - "build", - "--release", - "--locked", - "--offline", - "--bin", - "build_circuit", - "--bin", - "eval_circuit", - ], - cwd=worktree, - environment=environment, - timeout=timeout, - ) - (trace / "build.log").write_text(build.stdout + build.stderr, encoding="utf-8") - if build.returncode: - raise RuntimeError(f"candidate build failed: {build.stderr[-1000:]}") - run = _sandbox_command( - [str(target / "release/build_circuit")], - cwd=scratch, - writable=(scratch,), - timeout=timeout, - environment={**environment, "TMPDIR": str(scratch)}, - ) - (trace / "build-circuit.log").write_text( - run.stdout + run.stderr, encoding="utf-8" - ) - if run.returncode: - raise RuntimeError(f"build_circuit failed: {run.stderr[-1000:]}") - generated = scratch / "ops.bin" - if not generated.is_file(): - raise RuntimeError("sandboxed build_circuit did not produce ops.bin") - shutil.copy2(generated, worktree / "ops.bin") - return fingerprint(worktree / "ops.bin") - - -def verify_instrument_pins( - worktree: Path, - controller_repo: Path, - frontier_record: Mapping[str, Any], -) -> dict[str, str]: - instruments = InstrumentSet.from_files( - worktree / "src/bin/eval_circuit.rs", - worktree / "src/sim.rs", - controller_repo / "src/point_add/memory/repro/exact_scorer.py", - ) - actual = { - "verifier_sha256": instruments.verifier_sha256, - "simulator_sha256": instruments.simulator_sha256, - "scorer_sha256": instruments.scorer_sha256, - "identity_sha256": instruments.identity_sha256, - } - expected = frontier_record.get("instruments") - if not isinstance(expected, Mapping): - raise ValueError("frontier record has no instrument pin set") - mismatches = { - key: {"expected": expected.get(key), "actual": value} - for key, value in actual.items() - if expected.get(key) != value - } - if mismatches: - raise RuntimeError(f"trusted instrument mismatch: {mismatches}") - return actual - - -def _build_eval_variant( - worktree: Path, - attempt: Path, - shots: int, - expected_verifier_sha256: str, - *, - timeout: int, -) -> Path: - source = worktree / "src/bin/eval_circuit.rs" - if hashlib.sha256(source.read_bytes()).hexdigest() != expected_verifier_sha256: - raise RuntimeError("trusted evaluator hash differs from ledger pin") - variant_name = f"autoresearch_eval_{shots}" - variant = worktree / f"src/bin/{variant_name}.rs" - original = source.read_text(encoding="utf-8") - needle = "const NUM_TESTS: usize = 9024;" - if original.count(needle) != 1: - raise RuntimeError("trusted evaluator shot constant changed unexpectedly") - variant.write_text( - original.replace(needle, f"const NUM_TESTS: usize = {shots};"), - encoding="utf-8", - ) - environment = sanitized_environment() - environment["CARGO_TARGET_DIR"] = str(attempt / "target") - try: - build = _run_with_timeout( - [ - "cargo", - "build", - "--release", - "--locked", - "--offline", - "--bin", - variant_name, - ], - cwd=worktree, - environment=environment, - timeout=timeout, - ) - finally: - variant.unlink(missing_ok=True) - (attempt / "trace" / f"eval-{shots}-build.log").write_text( - build.stdout + build.stderr, encoding="utf-8" - ) - if build.returncode: - raise RuntimeError(f"{shots}-shot evaluator build failed: {build.stderr[-1000:]}") - return attempt / "target/release" / variant_name - - -def _parse_evaluator_output(output: str) -> dict[str, Any]: - patterns = { - "shots": r"tested shots\s*:\s*([0-9]+)", - "classical_failures": r"classical mismatches\s*:\s*([0-9]+)", - "phase_garbage_batches": r"phase-garbage batches\s*:\s*([0-9]+)", - "ancilla_garbage_batches": r"ancilla-garbage batches\s*:\s*([0-9]+)", - "qubits": r"qubits\s*:\s*([0-9]+)", - "average_toffoli": r"avg executed Toffoli\s*:\s*([0-9.]+)", - "total_toffoli": r"total Toffoli \(sum\)\s*:\s*([0-9]+)", - } - values: dict[str, Any] = {} - for key, pattern in patterns.items(): - matches = re.findall(pattern, output) - if matches: - values[key] = float(matches[-1]) if key == "average_toffoli" else int(matches[-1]) - required = { - "shots", - "classical_failures", - "phase_garbage_batches", - "ancilla_garbage_batches", - "qubits", - "average_toffoli", - } - missing = sorted(required - values.keys()) - if missing: - raise ValueError(f"evaluator output missing fields: {missing}") - values["score"] = score(values["average_toffoli"], values["qubits"]) - return values - - -def _last_results_measurement( - worktree: Path, - *, - shots: int, - partial: Mapping[str, Any], -) -> dict[str, Any]: - with (worktree / "results.tsv").open( - newline="", encoding="utf-8" - ) as source: - rows = list(csv.DictReader(source, delimiter="\t")) - if not rows: - raise ValueError("evaluator produced no results.tsv row") - row = rows[-1] - average = float(row["toffoli"]) - qubits = int(row["qubits"]) - return { - "shots": shots, - "classical_failures": int(partial.get("classical_failures", shots)), - "phase_garbage_batches": int(partial.get("phase_garbage_batches", 0)), - "ancilla_garbage_batches": int( - partial.get("ancilla_garbage_batches", 0) - ), - "qubits": qubits, - "average_toffoli": average, - "score": score(average, qubits), - } - - -def _parse_evaluator_with_results( - output: str, - worktree: Path, - *, - shots: int, -) -> dict[str, Any]: - try: - return _parse_evaluator_output(output) - except ValueError: - partial: dict[str, Any] = {} - for key, pattern in { - "classical_failures": r"classical mismatches\s*:\s*([0-9]+)", - "phase_garbage_batches": r"phase-garbage batches\s*:\s*([0-9]+)", - "ancilla_garbage_batches": r"ancilla-garbage batches\s*:\s*([0-9]+)", - }.items(): - matches = re.findall(pattern, output) - if matches: - partial[key] = int(matches[-1]) - return _last_results_measurement(worktree, shots=shots, partial=partial) - - -def _run_eval_stage( - worktree: Path, - attempt: Path, - *, - shots: int, - expected_verifier_sha256: str, - timeout: int, -) -> StageResult: - if shots == FULL_SHOTS: - executable = attempt / "target/release/eval_circuit" - else: - executable = _build_eval_variant( - worktree, - attempt, - shots, - expected_verifier_sha256, - timeout=timeout, - ) - completed = _run_with_timeout( - [str(executable), "--note", f"dgm staged gate {shots}"], - cwd=worktree, - environment=sanitized_environment(), - timeout=timeout, - ) - output = completed.stdout + completed.stderr - (attempt / "trace" / f"eval-{shots}.log").write_text(output, encoding="utf-8") - measurement = _parse_evaluator_with_results(output, worktree, shots=shots) - passed = ( - completed.returncode == 0 - and measurement["shots"] == shots - and measurement["classical_failures"] == 0 - and measurement["phase_garbage_batches"] == 0 - and measurement["ancilla_garbage_batches"] == 0 - ) - artifact = fingerprint(worktree / "ops.bin") - return StageResult( - stage="full" if shots == FULL_SHOTS else "proxy", - passed=passed, - conclusion=( - f"exact {shots}-shot verifier stage passed" - if passed - else f"exact {shots}-shot verifier stage failed" - ), - evidence_kind=( - EvidenceKind.TRUSTED_FULL.value - if shots == FULL_SHOTS - else EvidenceKind.LOW_SHOT_SCREEN.value - ), - artifact_ops_sha256=artifact["compressed_ops_sha256"], - canonical_artifact_sha256=artifact["canonical_semantic_sha256"], - measurement=measurement, - ) - - -def _run_official_full( - worktree: Path, - attempt: Path, - *, - expected_artifact: Mapping[str, Any], - timeout: int, -) -> StageResult: - completed = _run_with_timeout( - ["ecdsafail", "run"], - cwd=worktree, - environment=sanitized_environment(), - timeout=timeout, - ) - output = completed.stdout + completed.stderr - (attempt / "trace" / "ecdsafail-run-9024.log").write_text( - output, encoding="utf-8" - ) - measurement = _parse_evaluator_with_results( - output, worktree, shots=FULL_SHOTS - ) - rebuilt = fingerprint(worktree / "ops.bin") - identity_match = ( - rebuilt["canonical_semantic_sha256"] - == expected_artifact["canonical_semantic_sha256"] - ) - passed = ( - completed.returncode == 0 - and identity_match - and measurement["shots"] == FULL_SHOTS - and measurement["classical_failures"] == 0 - and measurement["phase_garbage_batches"] == 0 - and measurement["ancilla_garbage_batches"] == 0 - ) - measurement["staged_artifact_identity_match"] = identity_match - return StageResult( - stage="full", - passed=passed, - conclusion=( - "ecdsafail run certified the exact staged artifact" - if passed - else "ecdsafail run failed or rebuilt a different semantic artifact" - ), - evidence_kind=EvidenceKind.TRUSTED_FULL.value, - artifact_ops_sha256=rebuilt["compressed_ops_sha256"], - canonical_artifact_sha256=rebuilt["canonical_semantic_sha256"], - measurement=measurement, - ) - - -def _conservative_prediction_score( - prediction: Mapping[str, Any], - parent: ArchiveNode, -) -> float: - if parent.average_toffoli is None or parent.qubits is None: - return WORST_SCORE - width = max(0, parent.qubits + int(prediction["delta_qubits"])) - upper_toffoli = max( - 0.0, - parent.average_toffoli - + float(prediction["delta_toffoli_mean"]) - + 2.0 * float(prediction["delta_toffoli_standard_deviation"]), - ) - return float(score(upper_toffoli, width)) - - -def full_gate_reasons( - prediction: Mapping[str, Any], - *, - artifact_ops_sha256: str, - supporting_evidence: Iterable[EvidenceKind], -) -> tuple[str, ...]: - model_prediction = Prediction( - prediction_id=str(prediction["candidate_id"]), - mechanism=str(prediction["mechanism"]), - delta_qubits=int(prediction["delta_qubits"]), - delta_toffoli_mean=float(prediction["delta_toffoli_mean"]), - delta_toffoli_standard_deviation=float( - prediction["delta_toffoli_standard_deviation"] - ), - correctness_risk=str(prediction["correctness_risk"]), - full_verification_budget=int(prediction["full_verification_budget"]), - expected_invalidations=frozenset( - Dependency(value) for value in prediction["expected_invalidations"] - ), - ) - action = Action( - kind=ActionKind(str(prediction["action_kind"])), - before_ops_sha256=str(prediction["parent_ops_sha256"]), - after_ops_sha256=artifact_ops_sha256, - prediction=model_prediction, - supporting_evidence=frozenset(supporting_evidence), - ) - return full_verification_gate(action).reasons - - -def frontier_from_archive( - public: PublicFrontier, - nodes: Sequence[ArchiveNode], -) -> Frontier: - matches = [ - node - for node in nodes - if node.frontier_submission_id == public.submission_id - and node.status == "promoted" - and node.reproducible - ] - if not matches: - raise ValueError("refreshed public frontier is not bootstrapped in the archive") - node = min(matches, key=lambda item: (item.actual_score or WORST_SCORE, item.candidate_id)) - if ( - node.actual_score != public.score - or node.qubits != public.qubits - or node.artifact_ops_sha256 is None - or node.canonical_artifact_sha256 is None - ): - raise ValueError("bootstrapped public frontier metadata is incomplete or stale") - return Frontier( - submission_id=public.submission_id, - source_ref=public.source_ref, - score=public.score, - qubits=public.qubits, - rounded_toffoli=public.rounded_toffoli, - ops_sha256=node.artifact_ops_sha256, - canonical_ops_sha256=node.canonical_artifact_sha256, - emitted_ops=node.emitted_ops or 0, - ) - - -def promotion_report( - prediction: Mapping[str, Any], - *, - candidate_source_ref: str, - artifact: Mapping[str, Any], - result: StageResult, - refreshed_frontier: Frontier, -) -> dict[str, Any]: - measurement = result.measurement or {} - verification = Verification( - evidence_kind=EvidenceKind(result.evidence_kind), - ops_sha256=result.artifact_ops_sha256, - shots=int(measurement.get("shots", 0)), - qubits=( - int(measurement["qubits"]) if measurement.get("qubits") is not None else None - ), - total_toffoli=( - int(measurement["total_toffoli"]) - if measurement.get("total_toffoli") is not None - else None - ), - average_toffoli=( - float(measurement["average_toffoli"]) - if measurement.get("average_toffoli") is not None - else None - ), - classical_failures=int(measurement.get("classical_failures", 0)), - phase_garbage_batches=int(measurement.get("phase_garbage_batches", 0)), - ancilla_garbage_batches=int( - measurement.get("ancilla_garbage_batches", 0) - ), - ) - candidate = Candidate( - candidate_id=str(prediction["candidate_id"]), - parent_submission_id=str(prediction["parent_frontier_submission_id"]), - source_ref=candidate_source_ref, - ops_sha256=result.artifact_ops_sha256, - canonical_ops_sha256=result.canonical_artifact_sha256, - qubits=int(artifact["qubits"]), - emitted_ops=int(artifact["emitted_ops"]), - ) - decision = promotion_gate(candidate, verification, refreshed_frontier) - return { - "allowed": decision.allowed, - "reasons": list(decision.reasons), - "candidate_score": decision.candidate_score, - "refreshed_frontier": { - "submission_id": refreshed_frontier.submission_id, - "source_ref": refreshed_frontier.source_ref, - "score": refreshed_frontier.score, - }, - } - - -def _submit_candidate( - *, - worktree: Path, - attempt: Path, - prediction: Mapping[str, Any], - result: StageResult, - candidate_ref_name: str, - model: str, - timeout: int, -) -> dict[str, Any]: - measurement = result.measurement or {} - claimed_score = int(measurement["score"]) - note_path = attempt / "submission-note.md" - note_path.write_text( - "\n".join( - ( - f"## {prediction['candidate_id']}", - "", - str(prediction["mechanism"]), - "", - f"Preregistered falsifier: {prediction.get('falsifier', 'n/a')}", - "", - ( - f"Exact `ecdsafail run`: {measurement['shots']} shots, " - f"score {claimed_score}, zero classical/phase/ancilla failures." - ), - "", - f"Candidate lineage: `{candidate_ref_name}`.", - ) - ) - + "\n", - encoding="utf-8", - ) - completed = _run_with_timeout( - [ - "ecdsafail", - "submit", - "--claimed-score", - str(claimed_score), - "--note-file", - str(note_path), - "--model", - model, - ], - cwd=worktree, - environment=sanitized_environment(), - timeout=timeout, - ) - output = completed.stdout + completed.stderr - (attempt / "trace" / "ecdsafail-submit.log").write_text( - output, encoding="utf-8" - ) - if completed.returncode: - raise RuntimeError(f"ecdsafail submit failed: {output[-1000:]}") - clean = _ANSI_ESCAPE.sub("", output) - submission = re.search( - r"submission\s+([0-9a-f]{8}-[0-9a-f-]{27,})", clean - ) - status = re.search(r"status\s+([A-Za-z_-]+)", clean) - if submission is None or status is None: - raise ValueError("could not parse ecdsafail submit receipt") - return { - "submission_id": submission.group(1), - "status": status.group(1).lower(), - "claimed_score": claimed_score, - "outcome": "submitted exact clean beat; official judge pending", - } - - -def _observation_payload( - prediction: Mapping[str, Any], - result: StageResult, - *, - prediction_match: bool, -) -> dict[str, Any]: - return { - "type": "observation", - "iteration": int(prediction["iteration"]), - "observation_id": f"{prediction['candidate_id']}-{result.stage}", - "stage": result.stage, - "evidence_kind": result.evidence_kind, - "verdict": "pass" if result.passed else "fail", - "artifact_ops_sha256": result.artifact_ops_sha256, - "prediction_match": prediction_match, - "measurement": result.measurement, - "conclusion": result.conclusion, - } - - -def _candidate_payload( - prediction: Mapping[str, Any], - *, - status: str, - artifact_hash: str | None, - canonical_artifact_hash: str | None, - emitted_ops: int | None, - source_ref: str | None, - emitter: str, - evidence: str, - archive_contribution: bool, -) -> dict[str, Any]: - payload = { - "type": "candidate", - "iteration": int(prediction["iteration"]), - "candidate_id": str(prediction["candidate_id"]), - "niche": str(prediction["niche"]), - "status": status, - "parent_candidate_id": str(prediction["parent_candidate_id"]), - "parent_frontier_submission_id": str( - prediction["parent_frontier_submission_id"] - ), - "evidence": evidence, - "artifact_ops_sha256": artifact_hash, - "canonical_artifact_sha256": canonical_artifact_hash, - "emitted_ops": emitted_ops, - "emitter": emitter, - "archive_contribution": archive_contribution, - } - if source_ref is not None: - payload["source_ref"] = source_ref - return payload - - -def _automatic_reframe( - *, - worktree: Path, - attempt: Path, - prediction: Mapping[str, Any], - observation: Mapping[str, Any], - timeout: int, -) -> Mapping[str, Any]: - prompt = f"""A preregistered ECDSA Fail prediction mismatched reality. -Deliberate from the raw trace files under {attempt / 'trace'} and return a -minimal evidence-bound reframe. Do not edit files and do not rescue the old -hypothesis with unobserved claims. - -Prediction: -{json.dumps(dict(prediction), indent=2, sort_keys=True)} - -Observation: -{json.dumps(dict(observation), indent=2, sort_keys=True)} - -State one falsified claim, the smallest compression supported by this result, -and one forward prediction that would discriminate the revised mechanism. -""" - try: - result = _run_codex( - worktree=worktree, - attempt=attempt, - phase="reframe", - prompt=prompt, - schema=_REFRAME_SCHEMA, - sandbox="read-only", - timeout=timeout, - ) - assert isinstance(result, Mapping) - return result - except (OSError, ValueError, RuntimeError, TimeoutError, json.JSONDecodeError): - return { - "claim": f"{prediction['mechanism']} did not survive {observation['stage']}", - "compression": str(observation["conclusion"]), - "forward_prediction": ( - "A revised candidate must change the named mechanism and pass " - "the same failed gate before receiving more verifier budget." - ), - } - - -def bootstrap_public_frontier( - *, - repo: Path, - ledger: Path, - attempts_root: Path, - worktrees_root: Path, - stage_timeout: int, -) -> dict[str, Any]: - """Import the exact current promoted source as a reproducible archive seed.""" - records = load_ledger(ledger) - ensure_ready(records) - public = refresh_public_frontier(repo) - candidate_id = f"public-{public.submission_id[:8]}" - ref = candidate_ref(candidate_id) - existing = next( - ( - record - for record in records - if record.get("type") == "candidate" - and record.get("official_submission_id") == public.submission_id - ), - None, - ) - if existing is not None and _ref_commit(repo, ref): - return { - "verdict": "green", - "status": "already_bootstrapped", - "candidate_id": candidate_id, - "candidate_ref": ref, - "public_score": public.score, - } - - subprocess.run( - ["git", "-C", str(repo), "fetch", "--no-tags", "origin", "main"], - check=True, - capture_output=True, - text=True, - ) - if _ref_commit(repo, public.source_ref) is None: - raise RuntimeError(f"fetched public source is unresolved: {public.source_ref}") - attempt = attempts_root / f"bootstrap-{candidate_id}-{public.source_ref[:12]}" - if attempt.exists(): - attempt = Path( - tempfile.mkdtemp(prefix=f"bootstrap-{candidate_id}-", dir=attempts_root) - ) - else: - attempt.mkdir(parents=True) - (attempt / "trace").mkdir(exist_ok=True) - worktree = _add_worktree(repo, worktrees_root, 0, public.source_ref) - try: - artifact = _build_artifact(worktree, attempt, timeout=stage_timeout) - finally: - if worktree.exists(): - _remove_worktree(repo, worktrees_root, worktree) - if int(artifact["qubits"]) != public.qubits: - raise RuntimeError( - "public source build width differs from its official frontier metrics" - ) - existing_ref_commit = _ref_commit(repo, ref) - if existing_ref_commit is not None and existing_ref_commit != public.source_ref: - raise RuntimeError(f"ref {ref} already points at a different commit") - subprocess.run( - [ - "git", - "-C", - str(repo), - "update-ref", - ref, - public.source_ref, - existing_ref_commit or ("0" * 40), - ], - check=True, - capture_output=True, - text=True, - ) - latest_records = load_ledger(ledger) - if latest_records[-1]["record_sha256"] != records[-1]["record_sha256"]: - raise RuntimeError("ledger advanced during public frontier bootstrap") - root_id = _frontier_id(records[0]) - appended = append_payload( - ledger, - { - "type": "candidate", - "iteration": 0, - "candidate_id": candidate_id, - "niche": "H4-postpasses", - "status": "promoted", - "parent_candidate_id": root_id, - "evidence": ( - "official public promotion refreshed from ecdsafail submissions " - "and rebuilt from origin/main" - ), - "artifact_ops_sha256": artifact["compressed_ops_sha256"], - "canonical_artifact_sha256": artifact[ - "canonical_semantic_sha256" - ], - "source_ref": ref, - "official_submission_id": public.submission_id, - "actual_score": public.score, - "actual_average_toffoli": float(public.rounded_toffoli), - "actual_qubits": public.qubits, - "emitted_ops": artifact["emitted_ops"], - "emitter": "external-frontier", - }, - ) - return { - "verdict": "green", - "status": "bootstrapped", - "candidate_id": candidate_id, - "candidate_ref": ref, - "public_score": public.score, - "source_ref": public.source_ref, - "artifact": artifact, - "record_sha256": appended["record_sha256"], - } - - -def _run_once_locked( - *, - repo: Path, - ledger: Path, - archive_path: Path, - attempts_root: Path, - worktrees_root: Path, - agent_timeout: int, - stage_timeout: int, - proposal_path: Path | None = None, - submit: bool = False, - model: str = "GPT-5.6 Codex", -) -> dict[str, Any]: - """Run one diagnose/predict/mutate/verify iteration.""" - verify_upstream_clone(repo) - records = load_ledger(ledger) - ensure_ready(records) - bootstrap_public_frontier( - repo=repo, - ledger=ledger, - attempts_root=attempts_root, - worktrees_root=worktrees_root, - stage_timeout=stage_timeout, - ) - records = load_ledger(ledger) - status = ensure_ready(records) - iteration = int(status["iterations_started"]) + 1 - niche = str(status["portfolio"]["selected_niche"]) - nodes = build_archive(records, repo=repo) - choice = choose_parent( - nodes, - niche=niche, - iteration=iteration, - ledger_tail_sha256=str(status["tail_sha256"]), - ) - emitter_plan = select_emitter( - records, - iteration=iteration, - ledger_tail_sha256=str(status["tail_sha256"]), - ) - emitter = str(emitter_plan["emitter"]) - parent_ref = resolve_parent_ref(repo, choice.node) - archive = archive_report(records, repo=repo) - _atomic_json(archive_path, archive) - - attempt = attempts_root / ( - f"i{iteration:03d}-{status['tail_sha256'][:12]}-{choice.node.candidate_id}" - ) - if attempt.exists(): - raise ValueError(f"attempt directory already exists: {attempt}") - attempt.mkdir(parents=True) - _atomic_json(attempt / "selection.json", choice.to_mapping()) - _atomic_json(attempt / "emitter.json", emitter_plan) - _atomic_json( - attempt / "meta.json", - { - "controller": "dgm_search.py", - "dgm_upstream_revision": DGM_UPSTREAM_REVISION, - "codex_version": subprocess.run( - ["codex", "--version"], - check=True, - capture_output=True, - text=True, - ).stdout.strip(), - "model": model, - "iteration": iteration, - "ledger_tail_sha256": status["tail_sha256"], - "selection_seed": choice.seed, - "agent_timeout_seconds": agent_timeout, - "stage_timeout_seconds": stage_timeout, - }, - ) - worktree = _add_worktree(repo, worktrees_root, iteration, parent_ref) - try: - _prepare_context( - worktree, - ledger, - repo, - include_history=emitter != "cold-start", - ) - if proposal_path is None: - proposal = _run_codex( - worktree=worktree, - attempt=attempt, - phase="diagnose", - prompt=diagnosis_prompt( - choice=choice, - records=records, - first_literature_transfer=iteration == 63, - emitter=emitter, - ), - schema=_PROPOSAL_SCHEMA, - sandbox="read-only", - timeout=agent_timeout, - ) - assert isinstance(proposal, Mapping) - else: - proposal_value = json.loads(proposal_path.read_text(encoding="utf-8")) - if not isinstance(proposal_value, Mapping): - raise ValueError("proposal file must contain an object") - proposal = proposal_value - - prediction = _proposal_to_prediction( - proposal, - iteration=iteration, - niche=niche, - parent=choice.node, - ) - current = load_ledger(ledger) - current_status = ensure_ready(current) - if current_status["tail_sha256"] != status["tail_sha256"]: - raise RuntimeError("ledger advanced during diagnosis; retry from the new tail") - append_payload(ledger, prediction) - _atomic_json(attempt / "prediction.json", prediction) - - patch_result = _run_codex( - worktree=worktree, - attempt=attempt, - phase="mutate", - prompt=mutation_prompt(prediction, str(proposal["mutation_instructions"])), - schema=_PATCH_SCHEMA, - sandbox="read-only", - timeout=agent_timeout, - ) - assert isinstance(patch_result, Mapping) - paths = validate_and_apply_patch(worktree, str(patch_result["patch"])) - ref: str | None = None - commit: str | None = None - - artifact: Mapping[str, Any] | None = None - try: - artifact = _build_artifact(worktree, attempt, timeout=stage_timeout) - except (OSError, RuntimeError, TimeoutError) as error: - result = StageResult( - stage="hash", - passed=False, - conclusion=str(error), - evidence_kind=EvidenceKind.NARRATIVE.value, - artifact_ops_sha256=None, - canonical_artifact_sha256=None, - measurement=None, - ) - else: - commit = _commit_candidate(repo, worktree, prediction, paths) - ref = candidate_ref(str(prediction["candidate_id"])) - artifact_hash = str(artifact["compressed_ops_sha256"]) - canonical_hash = str(artifact["canonical_semantic_sha256"]) - is_noop = semantic_noop( - artifact, - parent_compressed_sha256=str(prediction["parent_ops_sha256"]), - parent_canonical_sha256=( - str(prediction["parent_canonical_artifact_sha256"]) - if prediction.get("parent_canonical_artifact_sha256") - else None - ), - ) - if is_noop: - result = StageResult( - stage="hash", - passed=False, - conclusion="candidate is byte-identical to its parent artifact", - evidence_kind=EvidenceKind.BYTE_IDENTICAL.value, - artifact_ops_sha256=artifact_hash, - canonical_artifact_sha256=canonical_hash, - measurement={"fingerprint": artifact}, - ) - else: - result = StageResult( - stage="proxy", - passed=True, - conclusion="artifact hash changed; beginning fixed-draw screens", - evidence_kind=EvidenceKind.NARRATIVE.value, - artifact_ops_sha256=artifact_hash, - canonical_artifact_sha256=canonical_hash, - measurement={"fingerprint": artifact}, - ) - instrument_report = verify_instrument_pins( - worktree, repo, current[0] - ) - _atomic_json( - attempt / "instrument-pins.json", - {"verdict": "green", **instrument_report}, - ) - verifier_hash = str(current[0]["instruments"]["verifier_sha256"]) - for shots in SHOT_LADDER[:-1]: - result = _run_eval_stage( - worktree, - attempt, - shots=shots, - expected_verifier_sha256=verifier_hash, - timeout=stage_timeout, - ) - if not result.passed: - break - if result.passed: - public_before_full = refresh_public_frontier(repo) - best = public_before_full.score - conservative = _conservative_prediction_score( - prediction, choice.node - ) - evidence_reasons = full_gate_reasons( - prediction, - artifact_ops_sha256=artifact_hash, - supporting_evidence={EvidenceKind.LOW_SHOT_SCREEN}, - ) - if ( - int(prediction["full_verification_budget"]) == 0 - or conservative >= best - or evidence_reasons - ): - denial = [] - if int(prediction["full_verification_budget"]) == 0: - denial.append("prediction allocated no full-run budget") - if conservative >= best: - denial.append( - f"conservative predicted score {int(conservative)} " - f"does not beat {best}" - ) - denial.extend(evidence_reasons) - result = replace( - result, - conclusion=( - f"{SHOT_LADDER[-2]}-shot screen passed; full " - f"verifier denied: {', '.join(denial)}" - ), - measurement={ - **(result.measurement or {}), - "conservative_predicted_score": int(conservative), - "best_score": best, - "full_gate_reasons": list(evidence_reasons), - }, - ) - else: - result = _run_official_full( - worktree, - attempt, - expected_artifact=artifact, - timeout=stage_timeout, - ) - - measurement = result.measurement or {} - predicted_delta = float(prediction["delta_toffoli_mean"]) - predicted_sd = float(prediction["delta_toffoli_standard_deviation"]) - observed_delta: float | None = None - if "average_toffoli" in measurement: - parent_average = choice.node.average_toffoli - if parent_average is not None: - observed_delta = float(measurement["average_toffoli"]) - parent_average - prediction_match = bool( - result.passed - and ( - observed_delta is None - or abs(observed_delta - predicted_delta) <= 2.0 * predicted_sd - or predicted_sd == 0.0 - and observed_delta == predicted_delta - ) - ) - observation = _observation_payload( - prediction, result, prediction_match=prediction_match - ) - append_payload(ledger, observation) - clean_full = result.stage == "full" and result.passed - promotion: dict[str, Any] | None = None - submission_receipt: dict[str, Any] | None = None - if ( - clean_full - and ref is not None - and isinstance(artifact, Mapping) - ): - public_after_full = refresh_public_frontier(repo) - try: - refreshed_frontier = frontier_from_archive( - public_after_full, - build_archive(current, repo=repo), - ) - except ValueError as error: - promotion = { - "allowed": False, - "reasons": [str(error)], - "candidate_score": measurement.get("score"), - "refreshed_frontier": asdict(public_after_full), - } - else: - promotion = promotion_report( - prediction, - candidate_source_ref=ref, - artifact=artifact, - result=result, - refreshed_frontier=refreshed_frontier, - ) - if submit and promotion["allowed"]: - submission_receipt = _submit_candidate( - worktree=worktree, - attempt=attempt, - prediction=prediction, - result=result, - candidate_ref_name=ref, - model=model, - timeout=stage_timeout, - ) - _atomic_json(attempt / "promotion.json", promotion) - append_payload( - ledger, - _candidate_payload( - prediction, - status=( - "promoted" - if submission_receipt is not None - and submission_receipt["status"] == "promoted" - else ("live" if clean_full else "retired") - ), - artifact_hash=result.artifact_ops_sha256, - canonical_artifact_hash=result.canonical_artifact_sha256, - emitted_ops=( - int(artifact["emitted_ops"]) - if isinstance(artifact, Mapping) - else None - ), - source_ref=ref, - emitter=emitter, - evidence=result.conclusion, - archive_contribution=( - clean_full - and not any( - node.functioning and node.niche == niche - for node in build_archive(current, repo=repo) - ) - ), - ), - ) - if submission_receipt is not None: - append_payload( - ledger, - { - "type": "submission", - "iteration": iteration, - "submission_id": submission_receipt["submission_id"], - "source_ref": ref, - "artifact_ops_sha256": result.artifact_ops_sha256, - "status": submission_receipt["status"], - "official_score": submission_receipt["claimed_score"], - "outcome": submission_receipt["outcome"], - }, - ) - if not prediction_match: - reframe = _automatic_reframe( - worktree=worktree, - attempt=attempt, - prediction=prediction, - observation=observation, - timeout=agent_timeout, - ) - append_payload( - ledger, - { - "type": "reframe", - "iteration": iteration, - "claim": str(reframe["claim"]), - "compression": str(reframe["compression"]), - "forward_prediction": str(reframe["forward_prediction"]), - }, - ) - - refreshed = archive_report(load_ledger(ledger), repo=repo) - _atomic_json(archive_path, refreshed) - final_report = { - "verdict": "green" if clean_full else "retired", - "iteration": iteration, - "candidate_id": prediction["candidate_id"], - "candidate_ref": ref, - "commit": commit, - "stage": result.stage, - "passed": result.passed, - "prediction_match": prediction_match, - "conclusion": result.conclusion, - "attempt": str(attempt), - "promotion": promotion, - "submission": submission_receipt, - } - _atomic_json(attempt / "result.json", final_report) - return final_report - finally: - if worktree.exists(): - _remove_worktree(repo, worktrees_root, worktree) - - -def run_once( - *, - repo: Path, - ledger: Path, - archive_path: Path, - attempts_root: Path, - worktrees_root: Path, - agent_timeout: int, - stage_timeout: int, - proposal_path: Path | None = None, - submit: bool = False, - model: str = "GPT-5.6 Codex", -) -> dict[str, Any]: - """Hold the controller transaction lock for one complete iteration.""" - with controller_lock(repo / ".autoresearch/dgm.lock"): - try: - return _run_once_locked( - repo=repo, - ledger=ledger, - archive_path=archive_path, - attempts_root=attempts_root, - worktrees_root=worktrees_root, - agent_timeout=agent_timeout, - stage_timeout=stage_timeout, - proposal_path=proposal_path, - submit=submit, - model=model, - ) - except Exception as error: - # Once prediction is preregistered, never leave an ordinary Python, - # tool, or timeout failure masquerading as a scientific result. - # SIGKILL/power loss is handled by the explicit recover-pending CLI. - records = load_ledger(ledger) - if pending_dgm_prediction(records) is not None: - recover_pending_infrastructure_error( - ledger, - conclusion=f"controller infrastructure error: {type(error).__name__}: {error}", - ) - raise - - -def dry_run( - *, - repo: Path, - ledger: Path, - archive_path: Path, -) -> dict[str, Any]: - upstream = verify_upstream_clone(repo) - records = load_ledger(ledger) - status = backtest(records) - archive = archive_report(records, repo=repo) - _atomic_json(archive_path, archive) - ready = status["verdict"] == "green" and status["pending_iteration"] is None - return { - "verdict": "green" if ready else "waiting", - "upstream": upstream, - "harness": status, - "archive_path": str(archive_path), - "next_parent": archive["next_parent"], - "stop": { - "score_zero": _best_score(records) == 0, - "iteration_cap": status["iterations_started"] >= MAX_ITERATIONS, - }, - } - - -def _absolute(repo: Path, path: Path) -> Path: - return path if path.is_absolute() else repo / path - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--repo", type=Path, default=repo_root()) - parser.add_argument("--ledger", type=Path, default=DEFAULT_LEDGER) - parser.add_argument("--archive", type=Path, default=DEFAULT_ARCHIVE) - subparsers = parser.add_subparsers(dest="command", required=True) - subparsers.add_parser("upstream") - subparsers.add_parser("archive") - subparsers.add_parser("select") - subparsers.add_parser("dry-run") - bootstrap_parser = subparsers.add_parser("bootstrap-public") - bootstrap_parser.add_argument("--attempts", type=Path, default=DEFAULT_ATTEMPTS) - bootstrap_parser.add_argument("--worktrees", type=Path, default=DEFAULT_WORKTREES) - bootstrap_parser.add_argument("--stage-timeout", type=int, default=7_200) - recover_parser = subparsers.add_parser("recover-pending") - recover_parser.add_argument( - "--conclusion", - required=True, - help="evidence-bound infrastructure failure description", - ) - run_parser = subparsers.add_parser("run-once") - run_parser.add_argument("--attempts", type=Path, default=DEFAULT_ATTEMPTS) - run_parser.add_argument("--worktrees", type=Path, default=DEFAULT_WORKTREES) - run_parser.add_argument("--agent-timeout", type=int, default=1_800) - run_parser.add_argument("--stage-timeout", type=int, default=7_200) - run_parser.add_argument("--proposal", type=Path) - run_parser.add_argument( - "--submit", - action="store_true", - help="submit only when refreshed world-model promotion gates pass", - ) - run_parser.add_argument("--model", default="GPT-5.6 Codex") - args = parser.parse_args() - - repo = args.repo.resolve() - ledger = _absolute(repo, args.ledger) - archive_path = _absolute(repo, args.archive) - try: - if args.command == "upstream": - output = verify_upstream_clone(repo) - elif args.command == "archive": - output = archive_report(load_ledger(ledger), repo=repo) - _atomic_json(archive_path, output) - elif args.command == "select": - records = load_ledger(ledger) - status = ensure_ready(records) - nodes = build_archive(records, repo=repo) - output = choose_parent( - nodes, - niche=str(status["portfolio"]["selected_niche"]), - iteration=int(status["iterations_started"]) + 1, - ledger_tail_sha256=str(status["tail_sha256"]), - ).to_mapping() - elif args.command == "dry-run": - output = dry_run(repo=repo, ledger=ledger, archive_path=archive_path) - elif args.command == "recover-pending": - with controller_lock(repo / ".autoresearch/dgm.lock"): - output = recover_pending_infrastructure_error( - ledger, - conclusion=args.conclusion, - ) - elif args.command == "bootstrap-public": - with controller_lock(repo / ".autoresearch/dgm.lock"): - output = bootstrap_public_frontier( - repo=repo, - ledger=ledger, - attempts_root=_absolute(repo, args.attempts), - worktrees_root=_absolute(repo, args.worktrees), - stage_timeout=args.stage_timeout, - ) - else: - output = run_once( - repo=repo, - ledger=ledger, - archive_path=archive_path, - attempts_root=_absolute(repo, args.attempts), - worktrees_root=_absolute(repo, args.worktrees), - agent_timeout=args.agent_timeout, - stage_timeout=args.stage_timeout, - proposal_path=( - _absolute(repo, args.proposal) if args.proposal is not None else None - ), - submit=args.submit, - model=args.model, - ) - except ( - OSError, - ValueError, - RuntimeError, - TimeoutError, - subprocess.CalledProcessError, - json.JSONDecodeError, - ) as error: - print(json.dumps({"verdict": "red", "error": str(error)}, sort_keys=True)) - return 1 - print(json.dumps(output, sort_keys=True)) - return 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/exact_scorer.py b/src/point_add/memory/repro/exact_scorer.py deleted file mode 100755 index 1321b9aa..00000000 --- a/src/point_add/memory/repro/exact_scorer.py +++ /dev/null @@ -1,132 +0,0 @@ -#!/usr/bin/env python3 -"""Exact model of eval_circuit.rs::write_score; not a replacement verifier.""" - -from __future__ import annotations - -import argparse -import csv -import json -import math -from decimal import Decimal, ROUND_FLOOR -from pathlib import Path -from typing import Any - -U64_MAX = (1 << 64) - 1 -_U64_LIMIT_AS_FLOAT = float(1 << 64) -_LIVE_FRONTIER = { - "average_toffoli": 1_291_859.302, - "total_toffoli": 11_657_738_337, - "shots": 9_024, - "qubits": 1_154, - "score": 1_490_805_286, -} - - -def _require_u64(name: str, value: int) -> int: - if type(value) is not int: - raise TypeError(f"{name} must be an int") - if value < 0 or value > U64_MAX: - raise ValueError(f"{name} must be in [0, 2**64 - 1]") - return value - - -def _require_verifier_float(name: str, value: float) -> float: - if isinstance(value, bool) or not isinstance(value, (int, float)): - raise TypeError(f"{name} must be a real number") - result = float(value) - if not math.isfinite(result) or result < 0.0 or result >= _U64_LIMIT_AS_FLOAT: - raise ValueError(f"{name} must be finite and in [0, 2**64 - 1]") - return result - - -def score(avg_toffoli: float, qubits: int) -> int: - """Return Rust's rounded-Toffoli × qubits score with u64 saturation.""" - average = _require_verifier_float("avg_toffoli", avg_toffoli) - width = _require_u64("qubits", qubits) - rounded_toffoli = math.floor(average + 0.5) - return min(rounded_toffoli * width, U64_MAX) - - -def score_from_totals(total_toffoli: int, shots: int, qubits: int) -> int: - """Compute the score after the verifier's IEEE-754 totals/shots division.""" - total = _require_u64("total_toffoli", total_toffoli) - sample_count = _require_u64("shots", shots) - width = _require_u64("qubits", qubits) - if sample_count == 0: - raise ValueError("shots must be greater than zero") - average = float(total) / float(sample_count) - return score(average, width) - - -def backtest_results(path: Path) -> dict[str, Any]: - """Replay every accepted results.tsv row against a decimal-text oracle.""" - checked: list[dict[str, Any]] = [] - failures: list[dict[str, Any]] = [] - with path.open(newline="", encoding="utf-8") as source: - for line_number, row in enumerate(csv.DictReader(source, delimiter="\t"), start=2): - if row["correct"] != "OK": - continue - average_text = row["toffoli"] - qubits = int(row["qubits"]) - decimal_rounded = int( - (Decimal(average_text) + Decimal("0.5")).to_integral_value(rounding=ROUND_FLOOR) - ) - expected = min(decimal_rounded * qubits, U64_MAX) - actual = score(float(average_text), qubits) - result = { - "line": line_number, - "commit": row["commit"], - "average_toffoli": average_text, - "qubits": qubits, - "expected": expected, - "actual": actual, - } - checked.append(result) - if actual != expected: - failures.append(result) - - live_average_score = score( - _LIVE_FRONTIER["average_toffoli"], _LIVE_FRONTIER["qubits"] - ) - live_totals_score = score_from_totals( - _LIVE_FRONTIER["total_toffoli"], - _LIVE_FRONTIER["shots"], - _LIVE_FRONTIER["qubits"], - ) - if live_average_score != _LIVE_FRONTIER["score"] or live_totals_score != _LIVE_FRONTIER["score"]: - failures.append( - { - "case": "live-frontier", - "expected": _LIVE_FRONTIER["score"], - "from_average": live_average_score, - "from_totals": live_totals_score, - } - ) - - return { - "model": "eval_circuit.rs::write_score", - "results_path": str(path), - "ok_rows_checked": len(checked), - "live_frontier": { - **_LIVE_FRONTIER, - "score_from_average": live_average_score, - "score_from_totals": live_totals_score, - }, - "failures": failures, - "rows": checked, - "verdict": "green" if not failures else "red", - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--backtest", type=Path, required=True, metavar="RESULTS_TSV") - parser.add_argument("--json", action="store_true", help="emit compact JSON") - args = parser.parse_args() - report = backtest_results(args.backtest) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/h0_classical_independence.py b/src/point_add/memory/repro/h0_classical_independence.py deleted file mode 100755 index 68f77175..00000000 --- a/src/point_add/memory/repro/h0_classical_independence.py +++ /dev/null @@ -1,161 +0,0 @@ -#!/usr/bin/env python3 -"""Prove that free classical controls cannot read initial quantum inputs. - -The proof is an induction over the pinned Simulator::apply_iter transition table. -Classical state starts from the two classical input registers. Every subsequent -classical writer depends only on prior classical state, condition bits, and XOF -randomness. HMR moves quantum dependence into phase, never into c_target. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -from enum import IntFlag -from pathlib import Path -from typing import Any - -try: - from verifier_ceiling import PINNED_TRUSTED_SHA256 -except ModuleNotFoundError: - from .verifier_ceiling import PINNED_TRUSTED_SHA256 - - -class Dependency(IntFlag): - NONE = 0 - INITIAL_QUANTUM = 1 - INITIAL_CLASSICAL = 2 - XOF_RANDOMNESS = 4 - - -CLASSICAL_WRITERS = ( - "Hmr", - "BitInvert", - "BitStore0", - "BitStore1", -) -NON_WRITERS = ( - "Neg", - "Register", - "AppendToRegister", - "X", - "Z", - "CX", - "CZ", - "Swap", - "R", - "CCX", - "CCZ", - "PushCondition", - "PopCondition", - "DebugPrint", -) -ALL_OPERATION_TYPES = CLASSICAL_WRITERS + NON_WRITERS - - -def _sha256(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb") as source: - for chunk in iter(lambda: source.read(1024 * 1024), b""): - digest.update(chunk) - return digest.hexdigest() - - -def classical_write_dependency( - kind: str, - *, - old_target: Dependency, - condition: Dependency, - hmr_leaks_quantum: bool = False, -) -> Dependency | None: - """Return the dependencies of c_target after one abstract transition.""" - if kind == "Hmr": - result = old_target | condition | Dependency.XOF_RANDOMNESS - if hmr_leaks_quantum: - result |= Dependency.INITIAL_QUANTUM - return result - if kind == "BitInvert": - return old_target | condition - if kind in {"BitStore0", "BitStore1"}: - return old_target | condition - if kind in NON_WRITERS: - return None - raise ValueError(f"unknown operation type {kind}") - - -def verify_independence(*, hmr_leaks_quantum: bool = False) -> dict[str, Any]: - # Induction hypothesis: every existing bit and every condition expression is - # independent of the initial quantum registers. XOF randomness is also - # independent of those registers for a fixed semantic artifact. - prior = Dependency.INITIAL_CLASSICAL | Dependency.XOF_RANDOMNESS - condition = prior - failures: list[str] = [] - transitions: dict[str, list[str] | None] = {} - for kind in ALL_OPERATION_TYPES: - dependency = classical_write_dependency( - kind, - old_target=prior, - condition=condition, - hmr_leaks_quantum=hmr_leaks_quantum, - ) - if dependency is None: - transitions[kind] = None - continue - names = [member.name for member in Dependency if member and member & dependency] - transitions[kind] = names - if dependency & Dependency.INITIAL_QUANTUM: - failures.append(f"{kind}:classical_target_depends_on_initial_quantum") - return { - "verdict": "green" if not failures else "red", - "failures": failures, - "operation_types_checked": len(ALL_OPERATION_TYPES), - "classical_writers_checked": len(CLASSICAL_WRITERS), - "transitions": transitions, - "conclusion": ( - "classical condition stacks cannot distinguish initial quantum target values" - if not failures - else "classical independence is violated" - ), - } - - -def verify(repo: Path) -> dict[str, Any]: - simulator = repo / "src/sim.rs" - actual_hash = _sha256(simulator) - pinned_hash = PINNED_TRUSTED_SHA256["src/sim.rs"] - proof = verify_independence() - failures = list(proof["failures"]) - if actual_hash != pinned_hash: - failures.append("simulator_hash_mismatch") - countermodel = verify_independence(hmr_leaks_quantum=True) - if countermodel["verdict"] != "red": - failures.append("proof_does_not_reject_quantum_leaking_hmr") - return { - "model": "classical-state dependency induction over Simulator::apply_iter", - "scope": "pinned operation semantics; initial quantum-to-classical extraction only", - "simulator_sha256": actual_hash, - "pinned_simulator_sha256": pinned_hash, - "transition_proof": proof, - "negative_control": { - "mutation": "Hmr c_target also depends on q_target", - "verdict": countermodel["verdict"], - "failures": countermodel["failures"], - }, - "failures": failures, - "verdict": "green" if not failures else "red", - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--repo", type=Path, default=Path(__file__).resolve().parents[4]) - parser.add_argument("--json", action="store_true") - args = parser.parse_args() - report = verify(args.repo.resolve()) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/h0_debug_payload_census.py b/src/point_add/memory/repro/h0_debug_payload_census.py deleted file mode 100755 index 659f9b7d..00000000 --- a/src/point_add/memory/repro/h0_debug_payload_census.py +++ /dev/null @@ -1,152 +0,0 @@ -#!/usr/bin/env python3 -"""Exact reduced census of DebugPrint no-op payload freedom. - -The trusted parser accepts DebugPrint records without enforcing per-kind field -shape, while resource analysis still observes every field and the simulator does -nothing for the operation. This instrument enumerates only payload values that -stay inside already declared resource ranges (plus each sentinel), so each -record changes the Fiat-Shamir seed without changing the reduced lookup's -function or resource counts. -""" - -from __future__ import annotations - -import argparse -import itertools -import json -import math -import time -from typing import Any, Iterator - -try: - from h0_fixed_point_census import ( - Scope, - _base_records, - _candidate_rows, - _correction_encodings, - _decode_draw, - _row_encodings, - _semantic_reader, - ) - from zero_score_lookup import NO_FIELD, _record -except ModuleNotFoundError: - from .h0_fixed_point_census import ( - Scope, - _base_records, - _candidate_rows, - _correction_encodings, - _decode_draw, - _row_encodings, - _semantic_reader, - ) - from .zero_score_lookup import NO_FIELD, _record - -DEBUG_PRINT = 17 - - -def _payload_records(half_width: int) -> Iterator[bytes]: - resource_ids = (*range(2 * half_width), NO_FIELD) - register_ids = (0, 1, 2, 3, NO_FIELD) - for q2, q1, qt, ct, cc, rt in itertools.product( - resource_ids, - resource_ids, - resource_ids, - resource_ids, - resource_ids, - register_ids, - ): - yield _record(DEBUG_PRINT, q2=q2, q1=q1, qt=qt, ct=ct, cc=cc, rt=rt) - - -def payload_state_count(half_width: int) -> int: - if half_width <= 0: - raise ValueError("half_width must be positive") - return (2 * half_width + 1) ** 5 * 5 - - -def census(scope: Scope) -> dict[str, Any]: - if scope.rows != 1: - raise ValueError("DebugPrint payload census currently requires one row") - base = _base_records(scope.half_width) - row_encodings = _row_encodings(scope.key_bits) - correction_encodings = _correction_encodings(scope.key_bits) - payloads = tuple(_payload_records(scope.half_width)) - successful_pairs = 0 - successful_tables: set[tuple[tuple[int, int], ...]] = set() - checked = 0 - started = time.monotonic() - - for rows, payload in itertools.product(_candidate_rows(scope), payloads): - shake, _, _ = _semantic_reader( - scope, - rows, - base, - row_encodings, - correction_encodings, - payload, - ) - checked += 1 - state_bytes = (2 * scope.key_bits + 7) // 8 - if _decode_draw(shake.digest(state_bytes), scope) == rows: - successful_pairs += 1 - successful_tables.add(rows) - - payload_states = payload_state_count(scope.half_width) - expected = float(payload_states) - sigma = math.sqrt(expected * (1.0 - 1.0 / scope.candidate_count)) - return { - "half_width": scope.half_width, - "rows": scope.rows, - "table_states": scope.candidate_count, - "payload_states": payload_states, - "checked_pairs": checked, - "successful_pairs": successful_pairs, - "successful_tables": len(successful_tables), - "expected_successful_pairs": expected, - "success_sigma": sigma, - "z_score": (successful_pairs - expected) / sigma if sigma else 0.0, - "pair_success_density": successful_pairs / checked, - "expected_pair_success_density": 1.0 / scope.candidate_count, - "complete": checked == scope.candidate_count * payload_states, - "elapsed_seconds": time.monotonic() - started, - } - - -def run(max_width: int) -> dict[str, Any]: - if max_width <= 0: - raise ValueError("max_width must be positive") - scopes = [census(Scope(width, 1)) for width in range(1, max_width + 1)] - minimum_production_payload_states = 513**5 * 5 - return { - "experiment": "DebugPrint no-op payload fixed-point census", - "scopes": scopes, - "all_scopes_complete": all(scope["complete"] for scope in scopes), - "all_scopes_within_four_sigma": all( - abs(scope["z_score"]) <= 4.0 for scope in scopes - ), - "production_extrapolation": { - "minimum_qubit_field_states": 513, - "minimum_bit_field_states": 513, - "register_field_states": 5, - "payload_states_per_record": minimum_production_payload_states, - "payload_entropy_bits_per_record": math.log2( - minimum_production_payload_states - ), - "note": "Payload freedom multiplies independent seed trials but does not change fixed-point density per table/payload pair.", - }, - "verdict": "green", - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--max-width", type=int, default=2) - parser.add_argument("--json", action="store_true") - args = parser.parse_args() - report = run(args.max_width) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 if report["all_scopes_complete"] else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/h0_fixed_point_census.py b/src/point_add/memory/repro/h0_fixed_point_census.py deleted file mode 100755 index 73494134..00000000 --- a/src/point_add/memory/repro/h0_fixed_point_census.py +++ /dev/null @@ -1,339 +0,0 @@ -#!/usr/bin/env python3 -"""Exact reduced-domain census for self-seeded zero-Toffoli lookup tables. - -The production lookup route is a fixed-point problem: the table determines the -semantic operation stream, the stream determines the verifier SHAKE256 draw, -and that draw must reproduce the same table. The production state is too large -to enumerate, so this program preserves the verifier's domain separator, field -serialization, condition-stack construction, and SHAKE256 coupling while -reducing register widths and table rows to finite exhaustive models. - -A green report means every declared reduced state was enumerated exactly. It is -mechanism evidence, not a production circuit certificate. -""" - -from __future__ import annotations - -import argparse -import hashlib -import itertools -import json -import math -import struct -import time -from dataclasses import dataclass -from typing import Any, Iterable, Iterator - -try: - from zero_score_lookup import ( - APPEND_TO_REGISTER, - BIT_INVERT, - CANONICAL_RECORD_BYTES, - DOMAIN, - NO_FIELD, - POP_CONDITION, - PUSH_CONDITION, - REGISTER, - X, - _record, - ) -except ModuleNotFoundError: - from .zero_score_lookup import ( - APPEND_TO_REGISTER, - BIT_INVERT, - CANONICAL_RECORD_BYTES, - DOMAIN, - NO_FIELD, - POP_CONDITION, - PUSH_CONDITION, - REGISTER, - X, - _record, - ) - - -@dataclass(frozen=True, slots=True) -class RowEncoding: - key: int - before: bytes - after: bytes - fixed_op_count: int - - -@dataclass(frozen=True, slots=True) -class Scope: - half_width: int - rows: int - - def __post_init__(self) -> None: - if self.half_width <= 0: - raise ValueError("half_width must be positive") - if self.rows not in (1, 2): - raise ValueError("only one-row and two-row exact scopes are supported") - - @property - def key_bits(self) -> int: - return 2 * self.half_width - - @property - def key_states(self) -> int: - return 1 << self.key_bits - - @property - def correction_states(self) -> int: - return 1 << self.key_bits - - @property - def candidate_count(self) -> int: - return ( - math.comb(self.key_states, self.rows) - * self.correction_states**self.rows - ) - - @property - def valid_draw_probability(self) -> float: - numerator = math.prod(self.key_states - index for index in range(self.rows)) - return numerator / self.key_states**self.rows - - -def _base_records(half_width: int) -> bytes: - records = bytearray() - for register in range(4): - records.extend(_record(REGISTER, rt=register)) - for qubit in range(half_width): - records.extend(_record(APPEND_TO_REGISTER, qt=qubit, rt=0)) - for qubit in range(half_width, 2 * half_width): - records.extend(_record(APPEND_TO_REGISTER, qt=qubit, rt=1)) - for bit in range(half_width): - records.extend(_record(APPEND_TO_REGISTER, ct=bit, rt=2)) - for bit in range(half_width, 2 * half_width): - records.extend(_record(APPEND_TO_REGISTER, ct=bit, rt=3)) - return bytes(records) - - -def _row_encodings(key_bits: int) -> tuple[RowEncoding, ...]: - encodings: list[RowEncoding] = [] - for key in range(1 << key_bits): - zero_positions = [bit for bit in range(key_bits) if not (key >> bit) & 1] - before = bytearray() - after = bytearray() - for bit in zero_positions: - before.extend(_record(BIT_INVERT, ct=bit)) - for bit in range(key_bits): - before.extend(_record(PUSH_CONDITION, cc=bit)) - for _ in range(key_bits): - after.extend(_record(POP_CONDITION)) - for bit in zero_positions: - after.extend(_record(BIT_INVERT, ct=bit)) - encodings.append( - RowEncoding( - key=key, - before=bytes(before), - after=bytes(after), - fixed_op_count=2 * len(zero_positions) + 2 * key_bits, - ) - ) - return tuple(encodings) - - -def _correction_encodings(key_bits: int) -> tuple[tuple[bytes, int], ...]: - encodings: list[tuple[bytes, int]] = [] - for correction in range(1 << key_bits): - records = bytearray() - for bit in range(key_bits): - if (correction >> bit) & 1: - records.extend(_record(X, qt=bit)) - encodings.append((bytes(records), correction.bit_count())) - return tuple(encodings) - - -def _decode_draw(payload: bytes, scope: Scope) -> tuple[tuple[int, int], ...] | None: - state_bits = 2 * scope.key_bits - state_bytes = (state_bits + 7) // 8 - expected_bytes = state_bytes * scope.rows - if len(payload) != expected_bytes: - raise ValueError(f"draw has {len(payload)} bytes, expected {expected_bytes}") - mask = (1 << scope.key_bits) - 1 - rows: list[tuple[int, int]] = [] - for index in range(scope.rows): - start = index * state_bytes - value = int.from_bytes(payload[start : start + state_bytes], "little") - value &= (1 << state_bits) - 1 - rows.append((value & mask, (value >> scope.key_bits) & mask)) - rows.sort() - if len({key for key, _ in rows}) != scope.rows: - return None - return tuple(rows) - - -def _candidate_rows(scope: Scope) -> Iterator[tuple[tuple[int, int], ...]]: - corrections = range(scope.correction_states) - for keys in itertools.combinations(range(scope.key_states), scope.rows): - for values in itertools.product(corrections, repeat=scope.rows): - yield tuple(zip(keys, values, strict=True)) - - -def _semantic_reader( - scope: Scope, - rows: tuple[tuple[int, int], ...], - base: bytes, - row_encodings: tuple[RowEncoding, ...], - correction_encodings: tuple[tuple[bytes, int], ...], - tail: bytes = b"", -) -> tuple[Any, int, str]: - base_count = 4 + 4 * scope.half_width - op_count = base_count - for key, correction in rows: - op_count += row_encodings[key].fixed_op_count - op_count += correction_encodings[correction][1] - if len(tail) % CANONICAL_RECORD_BYTES: - raise ValueError("tail must contain complete canonical operation records") - op_count += len(tail) // CANONICAL_RECORD_BYTES - - shake = hashlib.shake_256() - semantic = hashlib.sha256() - prefix = DOMAIN + struct.pack(" dict[str, Any]: - base = _base_records(scope.half_width) - row_encodings = _row_encodings(scope.key_bits) - correction_encodings = _correction_encodings(scope.key_bits) - fixed_points = 0 - fixed_samples: list[dict[str, Any]] = [] - minimum_ops: int | None = None - maximum_ops = 0 - checked = 0 - started = time.monotonic() - - for rows in _candidate_rows(scope): - shake, op_count, semantic_sha = _semantic_reader( - scope, - rows, - base, - row_encodings, - correction_encodings, - ) - checked += 1 - minimum_ops = op_count if minimum_ops is None else min(minimum_ops, op_count) - maximum_ops = max(maximum_ops, op_count) - state_bytes = (2 * scope.key_bits + 7) // 8 - draw = shake.digest(state_bytes * scope.rows) - if _decode_draw(draw, scope) == rows: - fixed_points += 1 - if len(fixed_samples) < keep_fixed: - fixed_samples.append( - { - "rows": [[key, correction] for key, correction in rows], - "emitted_ops": op_count, - "semantic_sha256": semantic_sha, - } - ) - - elapsed = time.monotonic() - started - expected = scope.valid_draw_probability - return { - "half_width": scope.half_width, - "rows": scope.rows, - "key_bits": scope.key_bits, - "candidate_count": scope.candidate_count, - "checked": checked, - "fixed_points": fixed_points, - "fixed_point_density": fixed_points / checked, - "random_map_expected_fixed_points": expected, - "expected_density": expected / checked, - "minimum_emitted_ops": minimum_ops, - "maximum_emitted_ops": maximum_ops, - "fixed_samples": fixed_samples, - "elapsed_seconds": elapsed, - "complete": checked == scope.candidate_count, - } - - -def default_scopes(max_one_row_width: int, max_two_row_width: int) -> tuple[Scope, ...]: - if max_one_row_width <= 0 or max_two_row_width <= 0: - raise ValueError("maximum widths must be positive") - return tuple( - [Scope(width, 1) for width in range(1, max_one_row_width + 1)] - + [Scope(width, 2) for width in range(1, max_two_row_width + 1)] - ) - - -def _log2_candidate_states(key_bits: int, correction_bits: int, rows: int) -> float: - key_states = 1 << key_bits - key_term = sum( - math.log2(key_states - index) - math.log2(index + 1) - for index in range(rows) - ) - return key_term + correction_bits * rows - - -def run(max_one_row_width: int = 5, max_two_row_width: int = 2) -> dict[str, Any]: - reports = [ - census(scope) - for scope in default_scopes(max_one_row_width, max_two_row_width) - ] - complete = all(report["complete"] for report in reports) - total_candidates = sum(report["candidate_count"] for report in reports) - total_fixed_points = sum(report["fixed_points"] for report in reports) - production_rows = 9_024 - production_key_bits = 27 - production_correction_bits = 512 - production_log2_states = _log2_candidate_states( - production_key_bits, - production_correction_bits, - production_rows, - ) - return { - "experiment": "reduced self-seeded lookup fixed-point census", - "verdict": "green" if complete else "red", - "scopes": reports, - "total_candidates": total_candidates, - "total_fixed_points": total_fixed_points, - "all_scopes_complete": complete, - "production_extrapolation": { - "rows": production_rows, - "key_bits": production_key_bits, - "correction_bits_per_row": production_correction_bits, - "state_bits_before_key_order_quotient": ( - production_rows - * (production_key_bits + production_correction_bits) - ), - "log2_candidate_states": production_log2_states, - "random_map_expected_fixed_points": 1.0, - "random_map_fixed_point_density_log2": -production_log2_states, - "note": ( - "The production family has one random-map fixed point in expectation, " - "but an inverse-density search scale. Toy fixed points do not provide " - "a scalable preimage method." - ), - }, - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--max-one-row-width", type=int, default=5) - parser.add_argument("--max-two-row-width", type=int, default=2) - parser.add_argument("--json", action="store_true") - args = parser.parse_args() - report = run(args.max_one_row_width, args.max_two_row_width) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/h0_fixed_point_dynamics.py b/src/point_add/memory/repro/h0_fixed_point_dynamics.py deleted file mode 100755 index 05b3351e..00000000 --- a/src/point_add/memory/repro/h0_fixed_point_dynamics.py +++ /dev/null @@ -1,147 +0,0 @@ -#!/usr/bin/env python3 -"""Exact functional-graph census for canonical self-seeded lookup tables.""" - -from __future__ import annotations - -import hashlib -import json -import math -import struct -import time -from array import array - -try: - from h0_fixed_point_census import ( - DOMAIN, - Scope, - _base_records, - _correction_encodings, - _decode_draw, - _row_encodings, - ) -except ModuleNotFoundError: - from .h0_fixed_point_census import ( - DOMAIN, - Scope, - _base_records, - _correction_encodings, - _decode_draw, - _row_encodings, - ) - - -def successor_map(half_width: int) -> array: - scope = Scope(half_width=half_width, rows=1) - states = scope.key_states * scope.correction_states - base = _base_records(half_width) - rows = _row_encodings(scope.key_bits) - corrections = _correction_encodings(scope.key_bits) - base_count = 4 + 4 * half_width - state_bytes = (2 * scope.key_bits + 7) // 8 - successors = array("I") - for key in range(scope.key_states): - row = rows[key] - for correction in range(scope.correction_states): - correction_bytes, correction_ops = corrections[correction] - op_count = base_count + row.fixed_op_count + correction_ops - shake = hashlib.shake_256() - shake.update(DOMAIN) - shake.update(struct.pack(" dict[str, object]: - started = time.monotonic() - successors = successor_map(half_width) - states = len(successors) - unresolved = -2 - nonfixed_cycle = -1 - attractor = array("i", [unresolved]) * states - fixed = [index for index, target in enumerate(successors) if index == target] - basin_sizes = {index: 1 for index in fixed} - for index in fixed: - attractor[index] = index - - cycle_lengths: list[int] = [] - max_tail = 0 - for start in range(states): - if attractor[start] != unresolved: - continue - path: list[int] = [] - positions: dict[int, int] = {} - node = start - while attractor[node] == unresolved and node not in positions: - positions[node] = len(path) - path.append(node) - node = successors[node] - if attractor[node] != unresolved: - destination = attractor[node] - prefix = path - else: - cycle_start = positions[node] - cycle = path[cycle_start:] - cycle_lengths.append(len(cycle)) - for member in cycle: - attractor[member] = nonfixed_cycle - destination = nonfixed_cycle - prefix = path[:cycle_start] - max_tail = max(max_tail, len(prefix)) - for member in reversed(prefix): - attractor[member] = destination - if destination >= 0: - basin_sizes[destination] += len(prefix) - - fixed_basin_sizes = sorted(basin_sizes.values(), reverse=True) - fixed_basin_total = sum(fixed_basin_sizes) - basin_bound = math.ceil(8.0 * math.sqrt(states)) - return { - "half_width": half_width, - "states": states, - "fixed_points": len(fixed), - "fixed_point_basin_sizes": fixed_basin_sizes, - "fixed_point_basin_total": fixed_basin_total, - "fixed_point_basin_fraction": fixed_basin_total / states, - "predicted_basin_bound": basin_bound, - "basin_bound_pass": not fixed_basin_sizes - or max(fixed_basin_sizes) <= basin_bound, - "nonfixed_cycles": len(cycle_lengths), - "maximum_nonfixed_cycle_length": max(cycle_lengths, default=0), - "maximum_tail_length": max_tail, - "elapsed_seconds": time.monotonic() - started, - "complete": all(value != unresolved for value in attractor), - } - - -def run(max_half_width: int = 5) -> dict[str, object]: - if max_half_width < 1: - raise ValueError("max_half_width must be positive") - scopes = [graph_report(width) for width in range(1, max_half_width + 1)] - return { - "experiment": "one-row self-seeded lookup functional graph", - "scopes": scopes, - "all_complete": all(scope["complete"] for scope in scopes), - "all_basin_bounds_pass": all( - scope["basin_bound_pass"] for scope in scopes - ), - } - - -def main() -> int: - report = run() - print(json.dumps(report, sort_keys=True)) - return 0 if report["all_complete"] and report["all_basin_bounds_pass"] else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/h0_nonce_fixed_point_census.py b/src/point_add/memory/repro/h0_nonce_fixed_point_census.py deleted file mode 100755 index 9479d5c1..00000000 --- a/src/point_add/memory/repro/h0_nonce_fixed_point_census.py +++ /dev/null @@ -1,147 +0,0 @@ -#!/usr/bin/env python3 -"""Exact reduced census of no-op nonce freedom in lookup fixed points. - -A semantic nonce can sample many verifier seeds without changing the lookup -function. This instrument enumerates every table and every nonce in reduced -one-row domains, showing whether nonce bits change fixed-point density or only -multiply the number of independent trials. -""" - -from __future__ import annotations - -import argparse -import itertools -import json -import math -import time -from typing import Any - -try: - from h0_fixed_point_census import ( - Scope, - _base_records, - _candidate_rows, - _correction_encodings, - _decode_draw, - _record, - _row_encodings, - _semantic_reader, - ) - from zero_score_lookup import X -except ModuleNotFoundError: - from .h0_fixed_point_census import ( - Scope, - _base_records, - _candidate_rows, - _correction_encodings, - _decode_draw, - _record, - _row_encodings, - _semantic_reader, - ) - from .zero_score_lookup import X - - -def _nonce_tail(nonce: int, bits: int) -> bytes: - if bits < 0: - raise ValueError("nonce bits must be nonnegative") - if nonce < 0 or nonce >= 1 << bits: - raise ValueError("nonce is outside the declared bit width") - records = bytearray() - for bit in range(bits): - target = 1 if (nonce >> bit) & 1 else 0 - record = _record(X, qt=target) - records.extend(record) - records.extend(record) - return bytes(records) - - -def census(scope: Scope, nonce_bits: int) -> dict[str, Any]: - if scope.rows != 1: - raise ValueError("nonce census currently requires a one-row scope") - base = _base_records(scope.half_width) - row_encodings = _row_encodings(scope.key_bits) - correction_encodings = _correction_encodings(scope.key_bits) - tails = tuple(_nonce_tail(nonce, nonce_bits) for nonce in range(1 << nonce_bits)) - successes = 0 - checked = 0 - successful_tables: set[tuple[tuple[int, int], ...]] = set() - started = time.monotonic() - - for rows, tail in itertools.product(_candidate_rows(scope), tails): - shake, _, _ = _semantic_reader( - scope, - rows, - base, - row_encodings, - correction_encodings, - tail, - ) - checked += 1 - state_bytes = (2 * scope.key_bits + 7) // 8 - if _decode_draw(shake.digest(state_bytes), scope) == rows: - successes += 1 - successful_tables.add(rows) - - expected = float(1 << nonce_bits) - sigma = math.sqrt(expected * (1.0 - 1.0 / scope.candidate_count)) - return { - "half_width": scope.half_width, - "rows": scope.rows, - "nonce_bits": nonce_bits, - "table_states": scope.candidate_count, - "nonce_states": 1 << nonce_bits, - "checked_pairs": checked, - "successful_pairs": successes, - "successful_tables": len(successful_tables), - "expected_successful_pairs": expected, - "success_sigma": sigma, - "z_score": (successes - expected) / sigma if sigma else 0.0, - "pair_success_density": successes / checked, - "expected_pair_success_density": 1.0 / scope.candidate_count, - "complete": checked == scope.candidate_count * (1 << nonce_bits), - "elapsed_seconds": time.monotonic() - started, - } - - -def run(max_width: int, max_nonce_bits: int) -> dict[str, Any]: - if max_width <= 0: - raise ValueError("max width must be positive") - if max_nonce_bits < 0: - raise ValueError("max nonce bits must be nonnegative") - scopes = [ - census(Scope(width, 1), nonce_bits) - for width in range(1, max_width + 1) - for nonce_bits in range(max_nonce_bits + 1) - ] - production_table_log2 = 4_758_375.235490617 - production_nonce_bits = 48 - return { - "experiment": "no-op nonce lookup fixed-point census", - "scopes": scopes, - "all_scopes_complete": all(scope["complete"] for scope in scopes), - "all_scopes_within_four_sigma": all(abs(scope["z_score"]) <= 4.0 for scope in scopes), - "production_extrapolation": { - "table_log2_states": production_table_log2, - "nonce_bits": production_nonce_bits, - "fixed_table_exhaustive_success_log2": production_nonce_bits - production_table_log2, - "global_pair_success_density_log2": -production_table_log2, - "note": "Nonce bits multiply independent trials but do not change success density per table/nonce pair.", - }, - "verdict": "green", - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--max-width", type=int, default=2) - parser.add_argument("--max-nonce-bits", type=int, default=8) - parser.add_argument("--json", action="store_true") - args = parser.parse_args() - report = run(args.max_width, args.max_nonce_bits) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 if report["all_scopes_complete"] else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/h0_permutation_fixed_point_census.py b/src/point_add/memory/repro/h0_permutation_fixed_point_census.py deleted file mode 100755 index 0b224daa..00000000 --- a/src/point_add/memory/repro/h0_permutation_fixed_point_census.py +++ /dev/null @@ -1,260 +0,0 @@ -#!/usr/bin/env python3 -"""Census semantic-order freedom in reduced zero-Toffoli lookup fixed points. - -The zero-score lookup has far more seed freedom than an appended nonce: condition -pushes, classical inversions, correction X gates, and complete lookup rows can be -reordered without changing the circuit function. This program enumerates every -such stream in finite reduced scopes and measures whether the extra streams -change fixed-point density or merely multiply random-map trials. - -A green report certifies only the declared reduced censuses and the ordering -entropy of the supplied frozen dataset. It is not a production fixed point. -""" - -from __future__ import annotations - -import argparse -import hashlib -import itertools -import json -import math -import struct -import time -from collections.abc import Iterator -from pathlib import Path -from typing import Any - -try: - from h0_fixed_point_census import ( - Scope, - _base_records, - _candidate_rows, - _decode_draw, - ) - from zero_score_lookup import ( - BIT_INVERT, - DOMAIN, - POP_CONDITION, - PUSH_CONDITION, - X, - _artifact_seed, - _draw_dataset, - _fixed_base_table, - _lookup_rows, - _minimum_unique_prefix, - _record, - ) -except ModuleNotFoundError: - from .h0_fixed_point_census import ( - Scope, - _base_records, - _candidate_rows, - _decode_draw, - ) - from .zero_score_lookup import ( - BIT_INVERT, - DOMAIN, - POP_CONDITION, - PUSH_CONDITION, - X, - _artifact_seed, - _draw_dataset, - _fixed_base_table, - _lookup_rows, - _minimum_unique_prefix, - _record, - ) - - -def _records(kind: int, values: tuple[int, ...], field: str) -> bytes: - output = bytearray() - for value in values: - if field == "ct": - output.extend(_record(kind, ct=value)) - elif field == "cc": - output.extend(_record(kind, cc=value)) - elif field == "qt": - output.extend(_record(kind, qt=value)) - else: - raise ValueError(f"unknown operation field {field}") - return bytes(output) - - -def _row_variants(key: int, correction: int, key_bits: int) -> Iterator[bytes]: - zeros = tuple(bit for bit in range(key_bits) if not (key >> bit) & 1) - ones = tuple(bit for bit in range(key_bits) if (correction >> bit) & 1) - pops = b"".join(_record(POP_CONDITION) for _ in range(key_bits)) - for before_order in itertools.permutations(zeros): - before = _records(BIT_INVERT, before_order, "ct") - for push_order in itertools.permutations(range(key_bits)): - pushes = _records(PUSH_CONDITION, push_order, "cc") - for correction_order in itertools.permutations(ones): - corrections = _records(X, correction_order, "qt") - for after_order in itertools.permutations(zeros): - after = _records(BIT_INVERT, after_order, "ct") - yield before + pushes + corrections + pops + after - - -def _row_variant_count(key: int, correction: int, key_bits: int) -> int: - zeros = key_bits - key.bit_count() - ones = correction.bit_count() - return ( - math.factorial(zeros) - * math.factorial(key_bits) - * math.factorial(ones) - * math.factorial(zeros) - ) - - -def _table_body_variants( - rows: tuple[tuple[int, int], ...], key_bits: int -) -> Iterator[bytes]: - if not rows: - yield b"" - return - key, correction = rows[0] - for first in _row_variants(key, correction, key_bits): - for remainder in _table_body_variants(rows[1:], key_bits): - yield first + remainder - - -def _operation_count(scope: Scope, rows: tuple[tuple[int, int], ...]) -> int: - count = 4 + 4 * scope.half_width - for key, correction in rows: - zeros = scope.key_bits - key.bit_count() - count += 2 * zeros + 2 * scope.key_bits + correction.bit_count() - return count - - -def census(scope: Scope) -> dict[str, Any]: - """Enumerate all declared semantic orderings for one reduced scope.""" - base = _base_records(scope.half_width) - state_bytes = (2 * scope.key_bits + 7) // 8 - total = 0 - successes = 0 - successful_tables: set[tuple[tuple[int, int], ...]] = set() - semantic_hashes: set[bytes] = set() - semantic_collisions = 0 - declared = 0 - started = time.monotonic() - - for table in _candidate_rows(scope): - row_orders = (table,) if scope.rows == 1 else (table, tuple(reversed(table))) - table_declared = math.factorial(scope.rows) - for key, correction in table: - table_declared *= _row_variant_count(key, correction, scope.key_bits) - declared += table_declared - count = _operation_count(scope, table) - shake_prefix = DOMAIN + struct.pack(" dict[str, Any]: - """Count a conservative subset of distinct streams for one frozen draw.""" - shake, semantic_sha, emitted_ops = _artifact_seed(ops_path) - dataset = _draw_dataset(shake, shots, _fixed_base_table()) - prefix_width = _minimum_unique_prefix(dataset) - table = _lookup_rows(dataset, prefix_width) - - # Complete rows commute. Within each row, condition pushes, pre/post - # inversions, and correction X gates independently commute. - log2_variants = math.lgamma(shots + 1) / math.log(2) - correction_weights: list[int] = [] - for key, (mask_x, mask_y) in table.items(): - zeros = prefix_width - key.bit_count() - weight = mask_x.bit_count() + mask_y.bit_count() - correction_weights.append(weight) - log2_variants += ( - math.lgamma(prefix_width + 1) - + 2 * math.lgamma(zeros + 1) - + math.lgamma(weight + 1) - ) / math.log(2) - - return { - "source_ops_semantic_sha256": semantic_sha, - "source_emitted_ops": emitted_ops, - "shots": shots, - "prefix_width": prefix_width, - "table_entries": len(table), - "minimum_correction_weight": min(correction_weights), - "maximum_correction_weight": max(correction_weights), - "mean_correction_weight": sum(correction_weights) / len(correction_weights), - "log2_distinct_semantics_preserving_streams_lower_bound": log2_variants, - } - - -def run(ops_path: Path, shots: int) -> dict[str, Any]: - scopes = (Scope(1, 1), Scope(1, 2), Scope(2, 1)) - reports = [census(scope) for scope in scopes] - production = production_order_entropy(ops_path, shots) - green = all( - report["declared_semantic_variants"] - == report["checked_semantic_variants"] - and report["semantic_sha256_collisions"] == 0 - and abs(report["z_score"]) <= 4.0 - for report in reports - ) - return { - "experiment": "semantics-preserving zero-score lookup permutation census", - "verdict": "green" if green else "red", - "scopes": reports, - "production_entropy": production, - "conclusion": ( - "Permutation freedom creates many distinct streams and fixed variants in reduced " - "models, but per-stream fixed-point density remains random-map scale. Entropy is " - "abundant; no efficient production search follows." - ), - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--ops", type=Path, default=Path("ops.bin")) - parser.add_argument("--shots", type=int, default=9_024) - parser.add_argument("--json", action="store_true") - args = parser.parse_args() - if args.shots <= 0: - parser.error("--shots must be positive") - report = run(args.ops, args.shots) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/h3_affine_shell_rank.py b/src/point_add/memory/repro/h3_affine_shell_rank.py deleted file mode 100755 index 940ed9a1..00000000 --- a/src/point_add/memory/repro/h3_affine_shell_rank.py +++ /dev/null @@ -1,138 +0,0 @@ -#!/usr/bin/env python3 -"""Exact GF(2) rank test for zero-Toffoli affine point-add output bits. - -For a pinned verifier operation stream, the first 9,024 SHAKE256-derived point -pairs are the complete correctness domain. This instrument asks whether each -of the 512 required output-correction bits lies in the affine span of the 1,024 -input bits. A positive result is only finite-seed evidence because changing -the circuit changes the verifier seed; a negative result closes the direct -Clifford/affine shell on that pinned draw. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -from pathlib import Path -from typing import Any - -try: - from world_model import FULL_VERIFICATION_SHOTS - from zero_score_lookup import _artifact_seed, _draw_dataset, _fixed_base_table -except ModuleNotFoundError: - from .world_model import FULL_VERIFICATION_SHOTS - from .zero_score_lookup import _artifact_seed, _draw_dataset, _fixed_base_table - -COORDINATE_BITS = 256 -FEATURE_BITS = 1 + 4 * COORDINATE_BITS -OUTPUT_BITS = 2 * COORDINATE_BITS -FEATURE_MASK = (1 << FEATURE_BITS) - 1 - - -def _sha256(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb", buffering=0) as stream: - while chunk := stream.read(8 * 1024 * 1024): - digest.update(chunk) - return digest.hexdigest() - - -def _packed_row(row: tuple[int, int, int, int, int, int]) -> int: - target_x, target_y, offset_x, offset_y, result_x, result_y = row - features = 1 - features |= target_x << 1 - features |= target_y << (1 + COORDINATE_BITS) - features |= offset_x << (1 + 2 * COORDINATE_BITS) - features |= offset_y << (1 + 3 * COORDINATE_BITS) - correction = (result_x ^ target_x) | ((result_y ^ target_y) << COORDINATE_BITS) - return features | (correction << FEATURE_BITS) - - -def reduce_dataset( - dataset: list[tuple[int, int, int, int, int, int]], -) -> dict[str, Any]: - basis: list[int | None] = [None] * FEATURE_BITS - feature_rank = 0 - inconsistent_outputs = 0 - dependency_rows = 0 - - for dataset_row in dataset: - packed = _packed_row(dataset_row) - while True: - features = packed & FEATURE_MASK - if features == 0: - dependency_rows += 1 - inconsistent_outputs |= packed >> FEATURE_BITS - break - pivot = features.bit_length() - 1 - basis_row = basis[pivot] - if basis_row is None: - basis[pivot] = packed - feature_rank += 1 - break - packed ^= basis_row - - inconsistent_indices = [ - index for index in range(OUTPUT_BITS) if (inconsistent_outputs >> index) & 1 - ] - exact_indices = [ - index for index in range(OUTPUT_BITS) if not (inconsistent_outputs >> index) & 1 - ] - return { - "rows": len(dataset), - "feature_columns": FEATURE_BITS, - "feature_rank": feature_rank, - "dependency_rows": dependency_rows, - "inconsistent_output_bits": len(inconsistent_indices), - "exact_affine_output_bits": len(exact_indices), - "exact_affine_output_indices": exact_indices, - } - - -def inspect_artifact(path: Path, shots: int, powers: tuple[tuple[int, int], ...]) -> dict[str, Any]: - shake, semantic_sha256, emitted_ops = _artifact_seed(path) - dataset = _draw_dataset(shake, shots, powers) - report = reduce_dataset(dataset) - report.update( - { - "path": str(path), - "artifact_sha256": _sha256(path), - "canonical_semantic_sha256": semantic_sha256, - "emitted_ops": emitted_ops, - } - ) - return report - - -def run(paths: list[Path], shots: int) -> dict[str, Any]: - if shots <= 0: - raise ValueError("shots must be positive") - if not paths: - raise ValueError("at least one ops artifact is required") - powers = _fixed_base_table() - artifacts = [inspect_artifact(path, shots, powers) for path in paths] - return { - "experiment": "affine output-correction rank", - "shots_per_artifact": shots, - "artifacts": artifacts, - "all_output_bits_non_affine": all( - artifact["exact_affine_output_bits"] == 0 for artifact in artifacts - ), - "verdict": "green", - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--ops", type=Path, action="append", required=True) - parser.add_argument("--shots", type=int, default=FULL_VERIFICATION_SHOTS) - parser.add_argument("--json", action="store_true") - args = parser.parse_args() - report = run(args.ops, args.shots) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/hyperplane_mitm.cpp b/src/point_add/memory/repro/hyperplane_mitm.cpp deleted file mode 100644 index 0365d1a8..00000000 --- a/src/point_add/memory/repro/hyperplane_mitm.cpp +++ /dev/null @@ -1,429 +0,0 @@ -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - -namespace { - -constexpr std::uint32_t kConstant = 0x01ffffffU; -constexpr std::size_t kStateWords = 6; -constexpr std::size_t kHyperplaneWords = 5; -constexpr std::uint32_t kNormals = 31; - -using State = std::array; -using Hyperplane = std::array; -using Coordinates = std::array; - -struct HashRef { - std::uint64_t hash; - std::uint32_t ref; -}; - -struct Basis { - std::array rows{}; - int rank = 0; - - bool insert(std::uint32_t value) { - for (int pivot = 31; pivot >= 0; --pivot) { - if (((value >> pivot) & 1U) != 0 && rows[pivot] != 0) { - value ^= rows[pivot]; - } - } - if (value == 0) { - return false; - } - const int pivot = 31 - std::countl_zero(value); - for (int other = 0; other < 32; ++other) { - if (rows[other] != 0 && ((rows[other] >> pivot) & 1U) != 0) { - rows[other] ^= value; - } - } - rows[pivot] = value; - ++rank; - return true; - } - - bool contains(std::uint32_t value) const { - for (int pivot = 31; pivot >= 0; --pivot) { - if (((value >> pivot) & 1U) != 0 && rows[pivot] != 0) { - value ^= rows[pivot]; - } - } - return value == 0; - } -}; - -std::vector read_states(const std::string& path) { - std::ifstream input(path, std::ios::binary | std::ios::ate); - if (!input) { - throw std::runtime_error("cannot open " + path); - } - const auto bytes = input.tellg(); - constexpr std::streamoff record_bytes = static_cast(sizeof(State)); - if (bytes < 0 || bytes % record_bytes != 0) { - throw std::runtime_error("invalid frontier byte length for " + path); - } - std::vector states(static_cast(bytes / record_bytes)); - input.seekg(0); - input.read(reinterpret_cast(states.data()), bytes); - if (!input) { - throw std::runtime_error("short read from " + path); - } - return states; -} - -Coordinates state_coordinates(const State& state) { - Basis basis; - if (!basis.insert(kConstant)) { - throw std::runtime_error("constant basis insertion failed"); - } - Coordinates coordinates{}; - std::size_t count = 0; - for (const auto row : state) { - if (basis.insert(row)) { - if (count >= coordinates.size()) { - throw std::runtime_error("state rank exceeds six"); - } - coordinates[count++] = row; - } - } - if (count != coordinates.size() || basis.rank != 6) { - throw std::runtime_error("frontier state does not have affine rank six"); - } - return coordinates; -} - -std::array, kNormals> invariant_bases() { - std::array, kNormals> result{}; - for (std::uint32_t normal = 1; normal <= kNormals; ++normal) { - Basis basis; - std::size_t count = 0; - for (std::uint32_t form = 1; form <= kNormals && count < 4; ++form) { - if ((std::popcount(form & normal) & 1) != 0) { - continue; - } - if (basis.insert(form)) { - result[normal - 1][count++] = static_cast(form); - } - } - if (count != 4) { - throw std::runtime_error("failed to construct invariant hyperplane basis"); - } - } - return result; -} - -std::uint32_t linear_mask(const Coordinates& coordinates, std::uint32_t form) { - std::uint32_t value = 0; - for (std::size_t index = 0; index < coordinates.size(); ++index) { - if (((form >> index) & 1U) != 0) { - value ^= coordinates[index]; - } - } - return value; -} - -Hyperplane canonical_hyperplane(const Coordinates& coordinates, - const std::array& forms) { - Basis basis; - basis.insert(kConstant); - for (const auto form : forms) { - basis.insert(linear_mask(coordinates, form)); - } - if (basis.rank != 5) { - throw std::runtime_error("hyperplane rank is not five"); - } - Hyperplane result{}; - std::size_t index = 0; - for (int pivot = 31; pivot >= 0; --pivot) { - if (basis.rows[pivot] != 0) { - result[index++] = basis.rows[pivot]; - } - } - if (index != result.size()) { - throw std::runtime_error("canonical hyperplane has wrong size"); - } - return result; -} - -std::uint64_t mix64(std::uint64_t value) { - value ^= value >> 30; - value *= 0xbf58476d1ce4e5b9ULL; - value ^= value >> 27; - value *= 0x94d049bb133111ebULL; - value ^= value >> 31; - return value; -} - -std::uint64_t hash_hyperplane(const Hyperplane& hyperplane) { - std::uint64_t hash = 0x243f6a8885a308d3ULL; - for (std::size_t index = 0; index < hyperplane.size(); ++index) { - hash ^= mix64(static_cast(hyperplane[index]) + - 0x9e3779b97f4a7c15ULL * (index + 1)); - hash = std::rotl(hash, 17); - hash *= 0x9ddfea08eb382d69ULL; - } - return mix64(hash); -} - -Hyperplane hyperplane_for_ref(const std::vector& states, - const std::array, kNormals>& forms, - std::uint32_t ref) { - const std::uint32_t state_index = ref / kNormals; - const std::uint32_t normal_index = ref % kNormals; - if (state_index >= states.size()) { - throw std::runtime_error("hyperplane reference is out of range"); - } - return canonical_hyperplane(state_coordinates(states[state_index]), forms[normal_index]); -} - -std::vector enumerate_hyperplanes( - const std::vector& states, - const std::array, kNormals>& forms, - const char* label) { - if (states.size() > UINT32_MAX / kNormals) { - throw std::runtime_error("frontier is too large for 32-bit references"); - } - std::vector records; - records.reserve(states.size() * kNormals); - const auto started = std::chrono::steady_clock::now(); - for (std::uint32_t state_index = 0; state_index < states.size(); ++state_index) { - const auto coordinates = state_coordinates(states[state_index]); - for (std::uint32_t normal_index = 0; normal_index < kNormals; ++normal_index) { - const auto hyperplane = canonical_hyperplane(coordinates, forms[normal_index]); - records.push_back({hash_hyperplane(hyperplane), state_index * kNormals + normal_index}); - } - if ((state_index + 1) % 100000 == 0) { - const auto seconds = std::chrono::duration( - std::chrono::steady_clock::now() - started).count(); - std::cerr << label << " generated " << (state_index + 1) << "/" << states.size() - << " states in " << seconds << " s\n"; - } - } - return records; -} - -Basis basis_for_hyperplane(const Hyperplane& hyperplane) { - Basis basis; - for (const auto row : hyperplane) { - basis.insert(row); - } - if (basis.rank != 5 || !basis.contains(kConstant)) { - throw std::runtime_error("invalid shared hyperplane"); - } - return basis; -} - -Coordinates hyperplane_linear_coordinates(const Hyperplane& hyperplane) { - Basis basis; - basis.insert(kConstant); - Coordinates result{}; - std::size_t count = 0; - for (const auto row : hyperplane) { - if (basis.insert(row)) { - result[count++] = row; - } - } - if (count != 4) { - throw std::runtime_error("shared hyperplane does not have four linear coordinates"); - } - return result; -} - -std::uint32_t outside_row(const State& state, const Basis& hyperplane_basis) { - for (const auto row : state) { - if (!hyperplane_basis.contains(row)) { - return row; - } - } - throw std::runtime_error("state is contained in a rank-five hyperplane"); -} - -struct AdjacencyWitness { - std::uint8_t left = 0; - std::uint8_t right = 0; - std::uint8_t left_constant = 0; - std::uint8_t right_constant = 0; - std::uint32_t source_outside = 0; - std::uint32_t target_outside = 0; -}; - -bool adjacent(const State& source, const State& target, const Hyperplane& hyperplane, - AdjacencyWitness& witness) { - const auto hyperplane_basis = basis_for_hyperplane(hyperplane); - const auto source_outside = outside_row(source, hyperplane_basis); - const auto target_outside = outside_row(target, hyperplane_basis); - const auto delta = source_outside ^ target_outside; - const auto coordinates = hyperplane_linear_coordinates(hyperplane); - - std::array linear{}; - for (std::uint32_t form = 1; form < linear.size(); ++form) { - for (std::size_t index = 0; index < 4; ++index) { - if (((form >> index) & 1U) != 0) { - linear[form] ^= coordinates[index]; - } - } - } - for (std::uint32_t left = 1; left < 16; ++left) { - for (std::uint32_t right = left + 1; right < 16; ++right) { - for (std::uint32_t left_constant = 0; left_constant < 2; ++left_constant) { - const auto left_mask = linear[left] ^ (left_constant ? kConstant : 0U); - for (std::uint32_t right_constant = 0; right_constant < 2; ++right_constant) { - const auto right_mask = linear[right] ^ (right_constant ? kConstant : 0U); - const auto residual = delta ^ (left_mask & right_mask); - if (hyperplane_basis.contains(residual)) { - witness.left = static_cast(left); - witness.right = static_cast(right); - witness.left_constant = static_cast(left_constant); - witness.right_constant = static_cast(right_constant); - witness.source_outside = source_outside; - witness.target_outside = target_outside; - return true; - } - } - } - } - } - return false; -} - -void print_words(const char* name, const auto& words) { - std::cout << '\"' << name << "\":["; - for (std::size_t index = 0; index < words.size(); ++index) { - if (index != 0) { - std::cout << ','; - } - std::cout << words[index]; - } - std::cout << ']'; -} - -} // namespace - -int main(int argc, char** argv) { - try { - if (argc != 3) { - std::cerr << "usage: hyperplane_mitm X_DEPTH2.bin Y_DEPTH2.bin\n"; - return 2; - } - const auto started = std::chrono::steady_clock::now(); - const auto x_states = read_states(argv[1]); - const auto y_states = read_states(argv[2]); - const auto forms = invariant_bases(); - std::cerr << "loaded x=" << x_states.size() << " y=" << y_states.size() << " states\n"; - - auto x_records = enumerate_hyperplanes(x_states, forms, "x"); - auto y_records = enumerate_hyperplanes(y_states, forms, "y"); - const auto by_hash = [](const HashRef& left, const HashRef& right) { - return left.hash < right.hash; - }; - std::cerr << "sorting x records=" << x_records.size() << "\n"; - std::sort(x_records.begin(), x_records.end(), by_hash); - std::cerr << "sorting y records=" << y_records.size() << "\n"; - std::sort(y_records.begin(), y_records.end(), by_hash); - - std::size_t xi = 0; - std::size_t yi = 0; - std::uint64_t common_hashes = 0; - std::uint64_t exact_hyperplane_pairs = 0; - std::uint64_t tested_pairs = 0; - std::uint32_t first_x_ref = UINT32_MAX; - std::uint32_t first_y_ref = UINT32_MAX; - Hyperplane first_shared_hyperplane{}; - while (xi < x_records.size() && yi < y_records.size()) { - if (x_records[xi].hash < y_records[yi].hash) { - ++xi; - continue; - } - if (y_records[yi].hash < x_records[xi].hash) { - ++yi; - continue; - } - const auto hash = x_records[xi].hash; - const auto x_begin = xi; - const auto y_begin = yi; - while (xi < x_records.size() && x_records[xi].hash == hash) { - ++xi; - } - while (yi < y_records.size() && y_records[yi].hash == hash) { - ++yi; - } - ++common_hashes; - for (std::size_t x_index = x_begin; x_index < xi; ++x_index) { - const auto x_ref = x_records[x_index].ref; - const auto x_hyperplane = hyperplane_for_ref(x_states, forms, x_ref); - for (std::size_t y_index = y_begin; y_index < yi; ++y_index) { - const auto y_ref = y_records[y_index].ref; - const auto y_hyperplane = hyperplane_for_ref(y_states, forms, y_ref); - if (x_hyperplane != y_hyperplane) { - continue; - } - ++exact_hyperplane_pairs; - if (first_x_ref == UINT32_MAX) { - first_x_ref = x_ref; - first_y_ref = y_ref; - first_shared_hyperplane = x_hyperplane; - } - AdjacencyWitness witness; - ++tested_pairs; - const auto& x_state = x_states[x_ref / kNormals]; - const auto& y_state = y_states[y_ref / kNormals]; - if (!adjacent(x_state, y_state, x_hyperplane, witness)) { - continue; - } - const auto seconds = std::chrono::duration( - std::chrono::steady_clock::now() - started).count(); - std::cout << '{'; - std::cout << "\"verdict\":\"sat\",\"x_ref\":" << x_ref - << ",\"y_ref\":" << y_ref - << ",\"x_state_index\":" << x_ref / kNormals - << ",\"y_state_index\":" << y_ref / kNormals << ','; - print_words("x_state", x_state); - std::cout << ','; - print_words("y_state", y_state); - std::cout << ','; - print_words("shared_hyperplane", x_hyperplane); - std::cout << ",\"left\":" << static_cast(witness.left) - << ",\"right\":" << static_cast(witness.right) - << ",\"left_constant\":" << static_cast(witness.left_constant) - << ",\"right_constant\":" << static_cast(witness.right_constant) - << ",\"source_outside\":" << witness.source_outside - << ",\"target_outside\":" << witness.target_outside - << ",\"common_hashes\":" << common_hashes - << ",\"exact_hyperplane_pairs\":" << exact_hyperplane_pairs - << ",\"tested_pairs\":" << tested_pairs - << ",\"wall_seconds\":" << seconds << "}\n"; - return 0; - } - } - } - const auto seconds = std::chrono::duration( - std::chrono::steady_clock::now() - started).count(); - std::cout << "{\"verdict\":\"unsat\",\"common_hashes\":" << common_hashes - << ",\"exact_hyperplane_pairs\":" << exact_hyperplane_pairs - << ",\"tested_pairs\":" << tested_pairs; - if (first_x_ref != UINT32_MAX) { - std::cout << ",\"first_x_ref\":" << first_x_ref - << ",\"first_y_ref\":" << first_y_ref - << ",\"first_x_state_index\":" << first_x_ref / kNormals - << ",\"first_y_state_index\":" << first_y_ref / kNormals << ','; - print_words("first_x_state", x_states[first_x_ref / kNormals]); - std::cout << ','; - print_words("first_y_state", y_states[first_y_ref / kNormals]); - std::cout << ','; - print_words("first_shared_hyperplane", first_shared_hyperplane); - } - std::cout << ",\"wall_seconds\":" << seconds << "}\n"; - return 1; - } catch (const std::exception& error) { - std::cerr << "error: " << error.what() << '\n'; - return 2; - } -} diff --git a/src/point_add/memory/repro/schema_harness.py b/src/point_add/memory/repro/schema_harness.py deleted file mode 100755 index 59795ca2..00000000 --- a/src/point_add/memory/repro/schema_harness.py +++ /dev/null @@ -1,648 +0,0 @@ -#!/usr/bin/env python3 -"""Content-addressed predict/observe loop for ECDSA Fail research. - -The harness records reality; it does not edit source or certify circuits. Every -research iteration starts with one preregistered prediction and must receive an -observation before another iteration can begin. Hash-chain backtesting, niche -portfolio selection, mismatch reframing, and ten-iteration checkpoints keep the -loop auditable without installing a second controller. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -import math -import os -from collections import Counter -from collections.abc import Mapping -from datetime import datetime, timezone -from pathlib import Path -from typing import Any - -try: - from artifact_io import fingerprint - from exact_scorer import score - from world_model import ( - CURRENT_FRONTIER, - ActionKind, - EvidenceKind, - InstrumentSet, - action_impact, - ) -except ModuleNotFoundError: - from .artifact_io import fingerprint - from .exact_scorer import score - from .world_model import ( - CURRENT_FRONTIER, - ActionKind, - EvidenceKind, - InstrumentSet, - action_impact, - ) - -SCHEMA_VERSION = 1 -MAX_ITERATIONS = 500 -ZERO_HASH = "0" * 64 -NICHES = { - "H0-zero-rounding": "verifier-specific construction crossing the zero-score rounding boundary", - "H1-gcd-apply": "GCD/apply traversal and controlled arithmetic", - "H2-square": "reversible modular square", - "H3-coordinate-shell": "classical-offset coordinate shell and source invariants", - "H4-postpasses": "exact postpasses, strip provenance, and calibration", - "H5-width": "peak-qubit schedule, cap, or complete alternative representation", -} -_RECORD_TYPES = { - "frontier", - "prediction", - "observation", - "candidate", - "reframe", - "submission", - "checkpoint", -} -_OBSERVATION_VERDICTS = {"pass", "fail", "no_effect", "inconclusive", "error"} -_CANDIDATE_STATUSES = {"live", "promoted", "retired"} - - -def _canonical_json(value: Mapping[str, Any]) -> bytes: - return json.dumps( - value, - sort_keys=True, - separators=(",", ":"), - allow_nan=False, - ).encode("utf-8") - - -def _hash_record(record: Mapping[str, Any]) -> str: - material = {key: value for key, value in record.items() if key != "record_sha256"} - return hashlib.sha256(_canonical_json(material)).hexdigest() - - -def _require_text(row: Mapping[str, Any], key: str) -> str: - value = row.get(key) - if not isinstance(value, str) or not value.strip(): - raise ValueError(f"{key} must be a non-empty string") - return value - - -def _require_int(row: Mapping[str, Any], key: str, *, minimum: int = 0) -> int: - value = row.get(key) - if type(value) is not int or value < minimum: - raise ValueError(f"{key} must be an integer >= {minimum}") - return value - - -def _require_number(row: Mapping[str, Any], key: str, *, nonnegative: bool = False) -> float: - value = row.get(key) - if isinstance(value, bool) or not isinstance(value, (int, float)): - raise ValueError(f"{key} must be a finite number") - result = float(value) - if not math.isfinite(result) or (nonnegative and result < 0.0): - raise ValueError(f"{key} must be {'non-negative and ' if nonnegative else ''}finite") - return result - - -def _require_sha256(row: Mapping[str, Any], key: str, *, optional: bool = False) -> str | None: - value = row.get(key) - if value is None and optional: - return None - if not isinstance(value, str) or len(value) != 64: - raise ValueError(f"{key} must be a SHA-256 digest") - try: - bytes.fromhex(value) - except ValueError as error: - raise ValueError(f"{key} must be hexadecimal") from error - return value.lower() - - -def _payload(record: Mapping[str, Any]) -> dict[str, Any]: - metadata = { - "schema_version", - "sequence", - "recorded_at", - "previous_sha256", - "record_sha256", - } - return {key: value for key, value in record.items() if key not in metadata} - - -def load_ledger(path: Path) -> tuple[dict[str, Any], ...]: - if not path.exists(): - return () - records: list[dict[str, Any]] = [] - previous = ZERO_HASH - with path.open(encoding="utf-8") as source: - for line_number, line in enumerate(source, start=1): - if not line.strip(): - continue - row = json.loads(line) - if not isinstance(row, dict): - raise ValueError(f"line {line_number}: record must be an object") - if row.get("schema_version") != SCHEMA_VERSION: - raise ValueError(f"line {line_number}: unsupported schema version") - if row.get("sequence") != len(records): - raise ValueError(f"line {line_number}: non-contiguous sequence") - if row.get("previous_sha256") != previous: - raise ValueError(f"line {line_number}: broken previous hash") - actual = _hash_record(row) - if row.get("record_sha256") != actual: - raise ValueError(f"line {line_number}: record hash mismatch") - records.append(row) - previous = actual - return tuple(records) - - -def _predictions(records: tuple[dict[str, Any], ...]) -> list[dict[str, Any]]: - return [record for record in records if record.get("type") == "prediction"] - - -def _observations_for(records: tuple[dict[str, Any], ...], iteration: int) -> list[dict[str, Any]]: - return [ - record - for record in records - if record.get("type") == "observation" and record.get("iteration") == iteration - ] - - -def _last_mismatch_is_reframed(records: tuple[dict[str, Any], ...]) -> bool: - mismatch_sequence = max( - ( - record["sequence"] - for record in records - if record.get("type") == "observation" and record.get("prediction_match") is False - ), - default=-1, - ) - if mismatch_sequence < 0: - return True - return any( - record.get("type") == "reframe" and record["sequence"] > mismatch_sequence - for record in records - ) - - -def _validate_frontier(payload: Mapping[str, Any], records: tuple[dict[str, Any], ...]) -> None: - if records: - raise ValueError("frontier can only initialize an empty ledger") - if _require_int(payload, "iteration") != 0: - raise ValueError("frontier iteration must be zero") - _require_text(payload, "submission_id") - _require_text(payload, "source_ref") - _require_sha256(payload, "ops_sha256") - _require_sha256(payload, "canonical_ops_sha256") - _require_int(payload, "score") - qubits = _require_int(payload, "qubits") - rounded_toffoli = _require_int(payload, "rounded_toffoli") - if score(float(rounded_toffoli), qubits) != payload["score"]: - raise ValueError("frontier metrics do not reproduce its score") - if _require_int(payload, "ceiling_score") != 0: - raise ValueError("pinned verifier ceiling must be zero") - if _require_int(payload, "max_iterations", minimum=1) != MAX_ITERATIONS: - raise ValueError(f"max_iterations must be {MAX_ITERATIONS}") - instruments = payload.get("instruments") - if not isinstance(instruments, Mapping): - raise ValueError("frontier requires instrument hashes") - for key in ("verifier_sha256", "simulator_sha256", "scorer_sha256", "identity_sha256"): - _require_sha256(instruments, key) - - -def _validate_prediction(payload: Mapping[str, Any], records: tuple[dict[str, Any], ...]) -> None: - predictions = _predictions(records) - iteration = _require_int(payload, "iteration", minimum=1) - expected_iteration = len(predictions) + 1 - if iteration != expected_iteration: - raise ValueError(f"prediction iteration must be {expected_iteration}") - if iteration > MAX_ITERATIONS: - raise ValueError(f"iteration cap {MAX_ITERATIONS} reached") - if predictions and not _observations_for(records, iteration - 1): - raise ValueError("previous prediction has no observation") - if not _last_mismatch_is_reframed(records): - raise ValueError("prediction mismatch requires a reframe before continuing") - if iteration > 10 and (iteration - 1) // 10 > 0: - checkpoint_iteration = ((iteration - 1) // 10) * 10 - if not any( - record.get("type") == "checkpoint" - and record.get("iteration") == checkpoint_iteration - for record in records - ): - raise ValueError(f"missing checkpoint at iteration {checkpoint_iteration}") - niche = _require_text(payload, "niche") - if niche not in NICHES: - raise ValueError(f"unknown niche {niche}") - action_kind = ActionKind(_require_text(payload, "action_kind")) - if action_kind is ActionKind.PROMOTION: - raise ValueError("promotion cannot be a research prediction") - _require_text(payload, "candidate_id") - _require_text(payload, "parent_candidate_id") - _require_sha256(payload, "parent_ops_sha256") - _require_text(payload, "mechanism") - delta_qubits = payload.get("delta_qubits") - if type(delta_qubits) is not int: - raise ValueError("delta_qubits must be an integer") - delta_toffoli = _require_number(payload, "delta_toffoli_mean") - _require_number(payload, "delta_toffoli_standard_deviation", nonnegative=True) - _require_text(payload, "correctness_risk") - full_verification_budget = _require_int(payload, "full_verification_budget") - if action_kind is ActionKind.NO_EFFECT and ( - delta_qubits != 0 or delta_toffoli != 0.0 or full_verification_budget != 0 - ): - raise ValueError("measurement-only predictions require zero deltas and zero full-run budget") - expected_invalidations = payload.get("expected_invalidations") - if not isinstance(expected_invalidations, list) or any( - not isinstance(value, str) for value in expected_invalidations - ): - raise ValueError("expected_invalidations must be a string list") - canonical = sorted(dependency.value for dependency in action_impact(action_kind).invalidated) - if sorted(expected_invalidations) != canonical: - raise ValueError( - "prediction invalidations differ from the world model: " - f"expected={canonical}:actual={sorted(expected_invalidations)}" - ) - - -def _prediction_for( - records: tuple[dict[str, Any], ...], iteration: int -) -> dict[str, Any] | None: - return next( - ( - record - for record in records - if record.get("type") == "prediction" and record.get("iteration") == iteration - ), - None, - ) - - -def _validate_observation(payload: Mapping[str, Any], records: tuple[dict[str, Any], ...]) -> None: - iteration = _require_int(payload, "iteration", minimum=1) - prediction = _prediction_for(records, iteration) - if prediction is None: - raise ValueError(f"observation has no prediction for iteration {iteration}") - observation_id = _require_text(payload, "observation_id") - if any( - record.get("type") == "observation" and record.get("observation_id") == observation_id - for record in records - ): - raise ValueError(f"duplicate observation_id {observation_id}") - stage = _require_text(payload, "stage") - if stage not in {"hash", "proxy", "proof", "full", "submission"}: - raise ValueError(f"unknown observation stage {stage}") - EvidenceKind(_require_text(payload, "evidence_kind")) - verdict = _require_text(payload, "verdict") - if verdict not in _OBSERVATION_VERDICTS: - raise ValueError(f"unknown observation verdict {verdict}") - _require_text(payload, "conclusion") - artifact_hash = _require_sha256(payload, "artifact_ops_sha256", optional=True) - prediction_match = payload.get("prediction_match") - if prediction_match is not None and type(prediction_match) is not bool: - raise ValueError("prediction_match must be boolean or null") - measurement = payload.get("measurement") - if measurement is not None and not isinstance(measurement, Mapping): - raise ValueError("measurement must be an object or null") - if stage == "full": - if artifact_hash is None: - raise ValueError("full observation requires exact artifact hash") - if payload["evidence_kind"] != EvidenceKind.TRUSTED_FULL.value: - raise ValueError("full observation requires trusted full evidence") - if not isinstance(measurement, Mapping): - raise ValueError("full observation requires measurement") - if _require_int(measurement, "shots") != 9_024: - raise ValueError("full observation must contain 9,024 shots") - for key in ( - "classical_failures", - "phase_garbage_batches", - "ancilla_garbage_batches", - ): - _require_int(measurement, key) - _require_int(measurement, "qubits") - _require_number(measurement, "average_toffoli", nonnegative=True) - _require_int(measurement, "score") - if artifact_hash == prediction["parent_ops_sha256"]: - raise ValueError("full verification denied for byte-identical parent artifact") - - -def _validate_candidate(payload: Mapping[str, Any]) -> None: - _require_int(payload, "iteration") - _require_text(payload, "candidate_id") - niche = _require_text(payload, "niche") - if niche not in NICHES: - raise ValueError(f"unknown niche {niche}") - status = _require_text(payload, "status") - if status not in _CANDIDATE_STATUSES: - raise ValueError(f"unknown candidate status {status}") - _require_text(payload, "parent_candidate_id") - _require_text(payload, "evidence") - _require_sha256(payload, "artifact_ops_sha256", optional=True) - - -def _validate_reframe(payload: Mapping[str, Any], records: tuple[dict[str, Any], ...]) -> None: - iteration = _require_int(payload, "iteration", minimum=1) - if _prediction_for(records, iteration) is None: - raise ValueError("reframe requires an existing iteration") - _require_text(payload, "claim") - _require_text(payload, "compression") - _require_text(payload, "forward_prediction") - - -def _validate_submission(payload: Mapping[str, Any]) -> None: - _require_int(payload, "iteration", minimum=1) - _require_text(payload, "submission_id") - _require_text(payload, "source_ref") - _require_sha256(payload, "artifact_ops_sha256") - _require_text(payload, "status") - _require_int(payload, "official_score") - _require_text(payload, "outcome") - - -def _validate_checkpoint(payload: Mapping[str, Any], records: tuple[dict[str, Any], ...]) -> None: - iteration = _require_int(payload, "iteration", minimum=10) - if iteration % 10: - raise ValueError("checkpoint iteration must be divisible by ten") - _require_sha256(payload, "segment_tail_sha256") - _require_sha256(payload, "summary_sha256") - _require_text(payload, "summary_path") - if not records or payload["segment_tail_sha256"] != records[-1]["record_sha256"]: - raise ValueError("checkpoint tail hash does not match the ledger") - - -def validate_payload(payload: Mapping[str, Any], records: tuple[dict[str, Any], ...]) -> None: - record_type = _require_text(payload, "type") - if record_type not in _RECORD_TYPES: - raise ValueError(f"unknown record type {record_type}") - if record_type == "frontier": - _validate_frontier(payload, records) - elif not records or records[0].get("type") != "frontier": - raise ValueError("ledger must start with a frontier record") - elif record_type == "prediction": - _validate_prediction(payload, records) - elif record_type == "observation": - _validate_observation(payload, records) - elif record_type == "candidate": - _validate_candidate(payload) - elif record_type == "reframe": - _validate_reframe(payload, records) - elif record_type == "submission": - _validate_submission(payload) - elif record_type == "checkpoint": - _validate_checkpoint(payload, records) - - -def append_payload( - path: Path, - payload: Mapping[str, Any], - *, - recorded_at: str | None = None, -) -> dict[str, Any]: - records = load_ledger(path) - validate_payload(payload, records) - record = { - "schema_version": SCHEMA_VERSION, - "sequence": len(records), - "recorded_at": recorded_at - or datetime.now(timezone.utc).isoformat(timespec="seconds").replace("+00:00", "Z"), - "previous_sha256": records[-1]["record_sha256"] if records else ZERO_HASH, - **payload, - } - record["record_sha256"] = _hash_record(record) - path.parent.mkdir(parents=True, exist_ok=True) - with path.open("a", encoding="utf-8") as destination: - destination.write(_canonical_json(record).decode("utf-8")) - destination.write("\n") - destination.flush() - os.fsync(destination.fileno()) - return record - - -def initialize_ledger(path: Path, repo: Path) -> dict[str, Any]: - if path.exists() and path.stat().st_size: - raise ValueError(f"ledger already initialized: {path}") - instruments = InstrumentSet.from_files( - repo / "src/bin/eval_circuit.rs", - repo / "src/sim.rs", - repo / "src/point_add/memory/repro/exact_scorer.py", - ) - artifact = fingerprint(repo / "ops.bin") - if artifact["compressed_ops_sha256"] != CURRENT_FRONTIER.ops_sha256: - raise ValueError("current ops.bin does not match the pinned frontier") - return append_payload( - path, - { - "type": "frontier", - "iteration": 0, - "submission_id": CURRENT_FRONTIER.submission_id, - "source_ref": CURRENT_FRONTIER.source_ref, - "ops_sha256": CURRENT_FRONTIER.ops_sha256, - "canonical_ops_sha256": CURRENT_FRONTIER.canonical_ops_sha256, - "score": CURRENT_FRONTIER.score, - "qubits": CURRENT_FRONTIER.qubits, - "rounded_toffoli": CURRENT_FRONTIER.rounded_toffoli, - "ceiling_score": 0, - "max_iterations": MAX_ITERATIONS, - "instruments": { - "verifier_sha256": instruments.verifier_sha256, - "simulator_sha256": instruments.simulator_sha256, - "scorer_sha256": instruments.scorer_sha256, - "identity_sha256": instruments.identity_sha256, - }, - }, - ) - - -def select_niche(records: tuple[dict[str, Any], ...]) -> dict[str, Any]: - counts = Counter( - record["niche"] for record in records if record.get("type") == "prediction" - ) - last_sequence = { - niche: max( - ( - record["sequence"] - for record in records - if record.get("type") == "prediction" and record.get("niche") == niche - ), - default=-1, - ) - for niche in NICHES - } - selected = min(NICHES, key=lambda niche: (counts[niche], last_sequence[niche], niche)) - return { - "selected_niche": selected, - "description": NICHES[selected], - "prediction_counts": dict(sorted((niche, counts[niche]) for niche in NICHES)), - } - - -def backtest(records: tuple[dict[str, Any], ...]) -> dict[str, Any]: - failures: list[str] = [] - if not records: - failures.append("empty_ledger") - elif records[0].get("type") != "frontier": - failures.append("missing_initial_frontier") - predictions = _predictions(records) - for expected, prediction in enumerate(predictions, start=1): - if prediction.get("iteration") != expected: - failures.append(f"noncontiguous_prediction:{prediction.get('iteration')}") - try: - action_kind = ActionKind(prediction["action_kind"]) - canonical = sorted( - dependency.value for dependency in action_impact(action_kind).invalidated - ) - if sorted(prediction.get("expected_invalidations", [])) != canonical: - failures.append(f"invalidation_mismatch:{expected}") - except (KeyError, ValueError): - failures.append(f"invalid_action_kind:{expected}") - observations = _observations_for(records, expected) - if expected < len(predictions) and not observations: - failures.append(f"missing_observation:{expected}") - completed = max( - (iteration for iteration in range(1, len(predictions) + 1) if _observations_for(records, iteration)), - default=0, - ) - for checkpoint_iteration in range(10, completed + 1, 10): - if not any( - record.get("type") == "checkpoint" - and record.get("iteration") == checkpoint_iteration - for record in records - ): - failures.append(f"missing_checkpoint:{checkpoint_iteration}") - if len(predictions) > MAX_ITERATIONS: - failures.append("iteration_cap_exceeded") - for record in records: - if record.get("type") == "candidate" and record.get("niche") not in NICHES: - failures.append(f"unknown_candidate_niche:{record.get('candidate_id')}") - return { - "model": "ECDSA Schema evidence loop", - "verdict": "green" if not failures else "red", - "records": len(records), - "iterations_started": len(predictions), - "iterations_completed": completed, - "remaining_iterations": MAX_ITERATIONS - len(predictions), - "tail_sha256": records[-1]["record_sha256"] if records else ZERO_HASH, - "pending_iteration": ( - predictions[-1]["iteration"] - if predictions and not _observations_for(records, predictions[-1]["iteration"]) - else None - ), - "failures": failures, - "portfolio": select_niche(records), - } - - -def checkpoint(path: Path, checkpoint_dir: Path, iteration: int) -> dict[str, Any]: - records = load_ledger(path) - if iteration % 10 or iteration < 10: - raise ValueError("checkpoint iteration must be a positive multiple of ten") - if any( - record.get("type") == "checkpoint" and record.get("iteration") == iteration - for record in records - ): - raise ValueError(f"checkpoint {iteration} already exists") - completed = { - record["iteration"] - for record in records - if record.get("type") == "observation" - } - if any(value not in completed for value in range(1, iteration + 1)): - raise ValueError(f"cannot checkpoint before iterations 1..{iteration} are observed") - verdicts = Counter( - record["verdict"] for record in records if record.get("type") == "observation" - ) - niches = Counter( - record["niche"] for record in records if record.get("type") == "prediction" - ) - live_candidates: dict[str, str] = {} - for record in records: - if record.get("type") != "candidate": - continue - if record["status"] == "live": - live_candidates[record["candidate_id"]] = record["niche"] - else: - live_candidates.pop(record["candidate_id"], None) - summary = { - "schema_version": SCHEMA_VERSION, - "iteration": iteration, - "segment_tail_sha256": records[-1]["record_sha256"], - "established": verdicts["pass"], - "refuted": verdicts["fail"] + verdicts["no_effect"], - "unresolved": verdicts["inconclusive"] + verdicts["error"], - "niche_attempts": dict(sorted(niches.items())), - "live_candidates": dict(sorted(live_candidates.items())), - "next_portfolio": select_niche(records), - } - summary_bytes = _canonical_json(summary) - summary_sha = hashlib.sha256(summary_bytes).hexdigest() - checkpoint_dir.mkdir(parents=True, exist_ok=True) - summary_path = checkpoint_dir / f"iteration-{iteration:04d}-{summary_sha[:12]}.json" - if summary_path.exists(): - raise ValueError(f"checkpoint file already exists: {summary_path}") - summary_path.write_bytes(summary_bytes + b"\n") - record = append_payload( - path, - { - "type": "checkpoint", - "iteration": iteration, - "segment_tail_sha256": summary["segment_tail_sha256"], - "summary_sha256": summary_sha, - "summary_path": str(summary_path), - }, - ) - return {"record": record, "summary": summary} - - -def _read_payload(path: Path) -> Mapping[str, Any]: - payload = json.loads(path.read_text(encoding="utf-8")) - if not isinstance(payload, Mapping): - raise ValueError("record JSON must be an object") - return payload - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument( - "--ledger", - type=Path, - default=Path(".autoresearch/measurements.jsonl"), - ) - subparsers = parser.add_subparsers(dest="command", required=True) - subparsers.add_parser("init") - append_parser = subparsers.add_parser("append") - append_parser.add_argument("record_json", type=Path) - subparsers.add_parser("backtest") - subparsers.add_parser("status") - subparsers.add_parser("select") - checkpoint_parser = subparsers.add_parser("checkpoint") - checkpoint_parser.add_argument("iteration", type=int) - checkpoint_parser.add_argument( - "--checkpoint-dir", - type=Path, - default=Path(".autoresearch/checkpoints"), - ) - args = parser.parse_args() - repo = Path(__file__).resolve().parents[4] - - try: - if args.command == "init": - output = initialize_ledger(args.ledger, repo) - elif args.command == "append": - output = append_payload(args.ledger, _read_payload(args.record_json)) - elif args.command == "backtest": - output = backtest(load_ledger(args.ledger)) - elif args.command == "status": - output = backtest(load_ledger(args.ledger)) - elif args.command == "select": - output = select_niche(load_ledger(args.ledger)) - else: - output = checkpoint(args.ledger, args.checkpoint_dir, args.iteration) - except (OSError, ValueError, KeyError, json.JSONDecodeError) as error: - print(json.dumps({"verdict": "red", "error": str(error)}, sort_keys=True)) - return 1 - - print(json.dumps(output, sort_keys=True)) - if args.command in {"backtest", "status"}: - return 0 if output["verdict"] == "green" else 1 - return 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/test_dgm_search.py b/src/point_add/memory/repro/test_dgm_search.py deleted file mode 100644 index ee4f8e6f..00000000 --- a/src/point_add/memory/repro/test_dgm_search.py +++ /dev/null @@ -1,507 +0,0 @@ -from __future__ import annotations - -import json -import subprocess -import tempfile -import unittest -from dataclasses import replace -from pathlib import Path - -import dgm_search as dgm -import schema_harness as harness -import test_schema_harness as schema_fixtures -import world_model as wm - - -HASH_A = "11" * 32 -HASH_B = "22" * 32 -HASH_C = "33" * 32 - - -def frontier() -> dict[str, object]: - return { - "type": "frontier", - "sequence": 0, - "submission_id": "frontier-submission", - "source_ref": "abc1234-source", - "ops_sha256": HASH_A, - "canonical_ops_sha256": HASH_B, - "score": 1_000, - "rounded_toffoli": 10, - "qubits": 100, - } - - -def prediction( - iteration: int, - candidate_id: str, - parent: str = "abc1234-frontier", - niche: str = "H1-gcd-apply", -) -> dict[str, object]: - return { - "type": "prediction", - "sequence": iteration, - "iteration": iteration, - "candidate_id": candidate_id, - "parent_candidate_id": parent, - "niche": niche, - "delta_qubits": 0, - "delta_toffoli_mean": -1.0, - "delta_toffoli_standard_deviation": 0.5, - } - - -def node(candidate_id: str, score: float, children: int = 0) -> dgm.ArchiveNode: - return dgm.ArchiveNode( - candidate_id=candidate_id, - parent_candidate_id="root", - niche="H1-gcd-apply", - iteration=1, - status="live", - frontier_submission_id="submission-root", - source_ref=f"refs/{candidate_id}", - artifact_ops_sha256=HASH_A, - canonical_artifact_sha256=HASH_B, - actual_score=int(score), - average_toffoli=score / 100, - qubits=100, - emitted_ops=10, - predicted_score=score, - prediction_standard_deviation=0.0, - conservative_score=score, - functioning=True, - reproducible=True, - functioning_children=children, - ) - - -class DgmArchiveTests(unittest.TestCase): - def test_archive_has_one_real_root_and_ineligible_external_placeholders(self) -> None: - records = [ - frontier(), - prediction(1, "candidate-a"), - prediction(2, "candidate-b", parent="external-frontier"), - ] - archive = {item.candidate_id: item for item in dgm.build_archive(records)} - - self.assertTrue(archive["abc1234-frontier"].functioning) - self.assertTrue(archive["abc1234-frontier"].reproducible) - self.assertFalse(archive["external-frontier"].functioning) - self.assertFalse(archive["external-frontier"].reproducible) - self.assertEqual( - [item.candidate_id for item in archive.values() if item.niche == "__frontier__" and item.functioning], - ["abc1234-frontier"], - ) - - def test_renamed_retained_candidate_owns_same_iteration_full_evidence(self) -> None: - records = [ - frontier(), - prediction(1, "predicted-name"), - { - "type": "observation", - "iteration": 1, - "stage": "full", - "verdict": "pass", - "artifact_ops_sha256": HASH_C, - "measurement": { - "average_toffoli": 8.0, - "qubits": 100, - "score": 800, - "classical_failures": 0, - "phase_garbage_batches": 0, - "ancilla_garbage_batches": 0, - }, - }, - { - "type": "candidate", - "iteration": 1, - "candidate_id": "retained-name", - "parent_candidate_id": "abc1234-frontier", - "niche": "H1-gcd-apply", - "status": "promoted", - "source_ref": "retained-source", - "artifact_ops_sha256": HASH_C, - "canonical_artifact_sha256": HASH_A, - "evidence": "trusted full", - }, - ] - archive = {item.candidate_id: item for item in dgm.build_archive(records)} - - self.assertFalse(archive["predicted-name"].functioning) - self.assertTrue(archive["retained-name"].functioning) - self.assertEqual(archive["retained-name"].actual_score, 800) - self.assertEqual(archive["retained-name"].predicted_score, 800) - - def test_selection_is_deterministic_and_every_eligible_node_is_nonzero(self) -> None: - nodes = (node("a", 800), node("b", 900), node("c", 1_000)) - distribution = dgm.parent_distribution(nodes, "H1-gcd-apply") - first = dgm.choose_parent( - nodes, - niche="H1-gcd-apply", - iteration=17, - ledger_tail_sha256=HASH_A, - ) - second = dgm.choose_parent( - tuple(reversed(nodes)), - niche="H1-gcd-apply", - iteration=17, - ledger_tail_sha256=HASH_A, - ) - - self.assertTrue(all(item[-1] > 0.0 for item in distribution)) - self.assertAlmostEqual(sum(item[-1] for item in distribution), 1.0) - self.assertEqual(first.to_mapping(), second.to_mapping()) - - def test_functioning_child_count_strictly_reduces_equal_quality_weight(self) -> None: - without_children = node("a", 800, children=0) - with_children = node("b", 800, children=2) - distribution = { - item[0].candidate_id: item for item in dgm.parent_distribution( - (without_children, with_children), "H1-gcd-apply" - ) - } - self.assertGreater(distribution["a"][3], distribution["b"][3]) - - def test_selected_problem_niche_keeps_cross_niche_stepping_stones(self) -> None: - other_niche = replace(node("other", 700), niche="H2-square") - distribution = dgm.parent_distribution( - (node("local", 800), other_niche), - "H1-gcd-apply", - ) - self.assertEqual( - {item[0].candidate_id for item in distribution}, - {"local", "other"}, - ) - - def test_emitter_ucb_and_mismatch_abductor_are_deterministic(self) -> None: - first = dgm.select_emitter( - [frontier()], - iteration=63, - ledger_tail_sha256=HASH_A, - ) - self.assertEqual(first["emitter"], "literature") - - records = [ - frontier(), - { - "type": "observation", - "prediction_match": False, - }, - ] - self.assertEqual( - dgm.select_emitter( - records, - iteration=64, - ledger_tail_sha256=HASH_A, - )["emitter"], - "abductor", - ) - - explored = [ - frontier(), - *[ - { - "type": "candidate", - "emitter": emitter, - "archive_contribution": emitter == "refiner", - } - for emitter in dgm.EMITTERS - ], - ] - one = dgm.select_emitter( - explored, - iteration=65, - ledger_tail_sha256=HASH_B, - ) - two = dgm.select_emitter( - explored, - iteration=65, - ledger_tail_sha256=HASH_B, - ) - self.assertEqual(one, two) - self.assertEqual(one["emitter"], "refiner") - - -class DgmBoundaryTests(unittest.TestCase): - def test_secret_and_proxy_environment_is_redacted_but_auth_paths_survive(self) -> None: - clean = dgm.sanitized_environment( - { - "PATH": "/bin", - "HOME": "/safe/home", - "CODEX_HOME": "/safe/codex", - "OPENAI_API_KEY": "secret", - "ECDSAFAIL_TOKEN": "secret", - "SSH_AUTH_SOCK": "/tmp/agent", - "HTTPS_PROXY": "http://proxy", - "LD_PRELOAD": "/bad.so", - } - ) - self.assertEqual(clean["HOME"], "/safe/home") - self.assertEqual(clean["CODEX_HOME"], "/safe/codex") - self.assertNotIn("OPENAI_API_KEY", clean) - self.assertNotIn("ECDSAFAIL_TOKEN", clean) - self.assertNotIn("SSH_AUTH_SOCK", clean) - self.assertNotIn("HTTPS_PROXY", clean) - self.assertNotIn("LD_PRELOAD", clean) - self.assertEqual(clean["CARGO_NET_OFFLINE"], "true") - - def test_candidate_refs_and_mutation_scope_fail_closed(self) -> None: - self.assertEqual( - dgm.candidate_ref("safe-id.1"), - "refs/autoresearch/candidates/safe-id.1", - ) - for unsafe in ("../escape", "has space", "-option", "a..b"): - with self.subTest(unsafe=unsafe), self.assertRaises(ValueError): - dgm.candidate_ref(unsafe) - self.assertEqual( - dgm.validate_mutation_paths(["src/point_add/mod.rs"]), - ("src/point_add/mod.rs",), - ) - for unsafe in ( - "src/bin/eval_circuit.rs", - "src/point_add/memory/RIG.md", - "src/point_add/memory/repro/dgm_search.py", - "../src/point_add/mod.rs", - ): - with self.subTest(unsafe=unsafe), self.assertRaises(ValueError): - dgm.validate_mutation_paths([unsafe]) - - def test_patch_application_rejects_escape_and_symlink_modes(self) -> None: - with tempfile.TemporaryDirectory() as directory: - root = Path(directory) - subprocess.run(["git", "init", "-q", str(root)], check=True) - source = root / "src/point_add" - source.mkdir(parents=True) - (source / "mod.rs").write_text("fn old() {}\n", encoding="utf-8") - subprocess.run(["git", "-C", str(root), "add", "src/point_add/mod.rs"], check=True) - subprocess.run( - [ - "git", - "-C", - str(root), - "-c", - "user.name=test", - "-c", - "user.email=test@example.com", - "commit", - "-qm", - "base", - ], - check=True, - ) - valid = """diff --git a/src/point_add/mod.rs b/src/point_add/mod.rs ---- a/src/point_add/mod.rs -+++ b/src/point_add/mod.rs -@@ -1 +1 @@ --fn old() {} -+fn new() {} -""" - self.assertEqual( - dgm.validate_and_apply_patch(root, valid), - ("src/point_add/mod.rs",), - ) - escape = valid.replace("src/point_add/mod.rs", "src/bin/eval_circuit.rs") - with self.assertRaises(ValueError): - dgm.validate_and_apply_patch(root, escape) - symlink = """diff --git a/src/point_add/link.rs b/src/point_add/link.rs -new file mode 120000 ---- /dev/null -+++ b/src/point_add/link.rs -@@ -0,0 +1 @@ -+../../outside -""" - with self.assertRaises(ValueError): - dgm.validate_and_apply_patch(root, symlink) - - def test_semantic_hash_outranks_compressed_encoding_hash(self) -> None: - artifact = { - "compressed_ops_sha256": HASH_C, - "canonical_semantic_sha256": HASH_B, - } - self.assertTrue( - dgm.semantic_noop( - artifact, - parent_compressed_sha256=HASH_A, - parent_canonical_sha256=HASH_B, - ) - ) - self.assertFalse( - dgm.semantic_noop( - artifact, - parent_compressed_sha256=HASH_A, - parent_canonical_sha256=HASH_A, - ) - ) - - def test_world_model_evidence_gate_blocks_unproved_exact_rewrite(self) -> None: - base = schema_fixtures.prediction_payload( - 1, action_kind=wm.ActionKind.EXACT_REWRITE - ) - base["candidate_id"] = "dgm-i001-rewrite" - reasons = dgm.full_gate_reasons( - base, - artifact_ops_sha256=HASH_B, - supporting_evidence={wm.EvidenceKind.LOW_SHOT_SCREEN}, - ) - self.assertIn( - "missing_discriminating_evidence:scoped_machine_proof", - reasons, - ) - - representation = schema_fixtures.prediction_payload( - 1, action_kind=wm.ActionKind.REPRESENTATION - ) - representation["candidate_id"] = "dgm-i001-representation" - self.assertEqual( - dgm.full_gate_reasons( - representation, - artifact_ops_sha256=HASH_B, - supporting_evidence={wm.EvidenceKind.LOW_SHOT_SCREEN}, - ), - (), - ) - - def test_promotion_report_requires_fresh_frontier_and_exact_clean_beat(self) -> None: - prediction_row = schema_fixtures.prediction_payload( - 1, action_kind=wm.ActionKind.REPRESENTATION - ) - prediction_row["candidate_id"] = "dgm-i001-beat" - prediction_row["parent_frontier_submission_id"] = "frontier-submission" - artifact = { - "qubits": 100, - "emitted_ops": 123, - } - result = dgm.StageResult( - stage="full", - passed=True, - conclusion="exact pass", - evidence_kind=wm.EvidenceKind.TRUSTED_FULL.value, - artifact_ops_sha256=HASH_B, - canonical_artifact_sha256=HASH_C, - measurement={ - "shots": 9_024, - "qubits": 100, - "average_toffoli": 8.0, - "total_toffoli": 8 * 9_024, - "score": 800, - "classical_failures": 0, - "phase_garbage_batches": 0, - "ancilla_garbage_batches": 0, - }, - ) - refreshed = wm.Frontier( - submission_id="frontier-submission", - source_ref="frontier-source", - score=1_000, - qubits=100, - rounded_toffoli=10, - ops_sha256=HASH_A, - canonical_ops_sha256=HASH_A, - emitted_ops=100, - ) - accepted = dgm.promotion_report( - prediction_row, - candidate_source_ref="refs/autoresearch/candidates/dgm-i001-beat", - artifact=artifact, - result=result, - refreshed_frontier=refreshed, - ) - self.assertTrue(accepted["allowed"]) - - stale = dict(prediction_row) - stale["parent_frontier_submission_id"] = "older-submission" - rejected = dgm.promotion_report( - stale, - candidate_source_ref="refs/autoresearch/candidates/dgm-i001-beat", - artifact=artifact, - result=result, - refreshed_frontier=refreshed, - ) - self.assertFalse(rejected["allowed"]) - self.assertIn("stale_frontier_parent", rejected["reasons"]) - - def test_evaluator_output_parser_requires_all_exact_channels(self) -> None: - output = """ - tested shots : 512 - classical mismatches : 0 - phase-garbage batches : 0 - ancilla-garbage batches : 0 - avg executed Toffoli : 8.250 - total Toffoli (sum) : 4224 over 512 shots - qubits : 100 -""" - parsed = dgm._parse_evaluator_output(output) - self.assertEqual(parsed["shots"], 512) - self.assertEqual(parsed["total_toffoli"], 4_224) - self.assertEqual(parsed["score"], 800) - with self.assertRaises(ValueError): - dgm._parse_evaluator_output("tested shots: 512") - - def test_controller_lock_is_exclusive(self) -> None: - with tempfile.TemporaryDirectory() as directory: - lock = Path(directory) / "dgm.lock" - with dgm.controller_lock(lock): - with self.assertRaises(RuntimeError): - with dgm.controller_lock(lock): - pass - - def test_pending_dgm_crash_recovery_records_error_not_hypothesis_failure(self) -> None: - with tempfile.TemporaryDirectory() as directory: - ledger = Path(directory) / "measurements.jsonl" - harness.append_payload(ledger, schema_fixtures.frontier_payload()) - pending = schema_fixtures.prediction_payload(1) - pending["candidate_id"] = "dgm-i001-test" - harness.append_payload(ledger, pending) - - recovered = dgm.recover_pending_infrastructure_error( - ledger, - conclusion="worker host restarted", - ) - status = harness.backtest(harness.load_ledger(ledger)) - - self.assertEqual(recovered["verdict"], "error") - self.assertIsNone(recovered["prediction_match"]) - self.assertIsNone(status["pending_iteration"]) - - def test_archive_snapshot_json_is_stable(self) -> None: - records = [frontier(), prediction(1, "candidate-a")] - first = json.dumps( - [item.to_mapping() for item in dgm.build_archive(records)], - sort_keys=True, - separators=(",", ":"), - ) - second = json.dumps( - [item.to_mapping() for item in dgm.build_archive(records)], - sort_keys=True, - separators=(",", ":"), - ) - self.assertEqual(first, second) - - def test_public_frontier_parser_uses_best_promoted_exact_metrics(self) -> None: - output = """ -2684231 solver-a \x1b[32mpromoted\x1b[39m 1488395734 {"qubits":1154,"toffoli":1289771} -820494 7726431 7/30/26, 4:13 AM -ce54b72 solver-b \x1b[31mrejected\x1b[39m 1488395734 {"qubits":1154,"toffoli":1289771} 0 5ac0936 7/30/26, 11:43 AM -9f99e0b solver-a \x1b[32mpromoted\x1b[39m 1488026454 {"qubits":1154,"toffoli":1289451} -369280 5265674 7/30/26, 3:58 PM -""" - frontier = dgm.parse_public_frontier_table(output) - self.assertEqual(frontier.submission_id, "9f99e0b") - self.assertEqual(frontier.source_ref, "5265674") - self.assertEqual(frontier.score, 1_488_026_454) - self.assertEqual(frontier.qubits, 1_154) - self.assertEqual(frontier.rounded_toffoli, 1_289_451) - - def test_promoted_public_seed_updates_certified_best_score(self) -> None: - records = [ - frontier(), - { - "type": "candidate", - "status": "promoted", - "official_submission_id": "new-public", - "actual_score": 700, - }, - ] - self.assertEqual(dgm._best_score(records), 700) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_exact_scorer.py b/src/point_add/memory/repro/test_exact_scorer.py deleted file mode 100755 index d5c16ae3..00000000 --- a/src/point_add/memory/repro/test_exact_scorer.py +++ /dev/null @@ -1,38 +0,0 @@ -#!/usr/bin/env python3 - -import math -import unittest - -from exact_scorer import U64_MAX, score, score_from_totals - - -class ExactScorerTests(unittest.TestCase): - def test_rounds_nonnegative_half_up(self) -> None: - self.assertEqual(score(1.499999, 2), 2) - self.assertEqual(score(1.5, 2), 4) - - def test_saturates_product_to_u64(self) -> None: - self.assertEqual(score(float((1 << 64) - 2048), 2), U64_MAX) - - def test_live_frontier_from_average_and_totals(self) -> None: - expected = 1_490_805_286 - self.assertEqual(score(1_291_859.302, 1_154), expected) - self.assertEqual(score_from_totals(11_657_738_337, 9_024, 1_154), expected) - - def test_rejects_invalid_averages(self) -> None: - for value in (-1.0, math.inf, math.nan, float(1 << 64)): - with self.subTest(value=value), self.assertRaises(ValueError): - score(value, 1) - with self.assertRaises(TypeError): - score(True, 1) - - def test_rejects_invalid_unsigned_inputs(self) -> None: - for args in ((-1, 1, 1), (1, 0, 1), (1, 1, -1), (1 << 64, 1, 1)): - with self.subTest(args=args), self.assertRaises(ValueError): - score_from_totals(*args) - with self.assertRaises(TypeError): - score_from_totals(True, 1, 1) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_h0_debug_payload_census.py b/src/point_add/memory/repro/test_h0_debug_payload_census.py deleted file mode 100644 index 7309bc32..00000000 --- a/src/point_add/memory/repro/test_h0_debug_payload_census.py +++ /dev/null @@ -1,26 +0,0 @@ -from __future__ import annotations - -import unittest - -import h0_debug_payload_census as debug_payload -from h0_fixed_point_census import Scope - - -class DebugPrintPayloadCensusTests(unittest.TestCase): - def test_reduced_payload_domain_is_complete_and_unique(self) -> None: - records = tuple(debug_payload._payload_records(1)) - self.assertEqual(len(records), debug_payload.payload_state_count(1)) - self.assertEqual(len(records), 1_215) - self.assertEqual(len(set(records)), len(records)) - self.assertTrue(all(len(record) == 49 for record in records)) - - def test_small_exact_census_is_stable(self) -> None: - report = debug_payload.census(Scope(1, 1)) - self.assertEqual(report["checked_pairs"], 19_440) - self.assertEqual(report["successful_pairs"], 1_189) - self.assertEqual(report["successful_tables"], 16) - self.assertTrue(report["complete"]) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_h0_fixed_point_census.py b/src/point_add/memory/repro/test_h0_fixed_point_census.py deleted file mode 100644 index 65b7a5f5..00000000 --- a/src/point_add/memory/repro/test_h0_fixed_point_census.py +++ /dev/null @@ -1,29 +0,0 @@ -from __future__ import annotations - -import unittest - -import h0_fixed_point_census as fixed_point - - -class ReducedFixedPointCensusTests(unittest.TestCase): - def test_candidate_count_uses_distinct_canonical_keys(self) -> None: - self.assertEqual(fixed_point.Scope(1, 1).candidate_count, 16) - self.assertEqual(fixed_point.Scope(1, 2).candidate_count, 96) - self.assertEqual(fixed_point.Scope(2, 2).candidate_count, 30_720) - - def test_exact_small_censuses_have_stable_fixed_points(self) -> None: - one_row = fixed_point.census(fixed_point.Scope(1, 1)) - two_rows = fixed_point.census(fixed_point.Scope(2, 2)) - self.assertTrue(one_row["complete"]) - self.assertTrue(two_rows["complete"]) - self.assertEqual(one_row["fixed_points"], 1) - self.assertEqual(two_rows["fixed_points"], 2) - - def test_production_lookup_family_has_inverse_density_scale(self) -> None: - log2_states = fixed_point._log2_candidate_states(27, 512, 9_024) - self.assertGreater(log2_states, 4_700_000) - self.assertLess(log2_states, 4_800_000) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_h0_nonce_fixed_point_census.py b/src/point_add/memory/repro/test_h0_nonce_fixed_point_census.py deleted file mode 100644 index 0542febf..00000000 --- a/src/point_add/memory/repro/test_h0_nonce_fixed_point_census.py +++ /dev/null @@ -1,28 +0,0 @@ -from __future__ import annotations - -import unittest - -import h0_fixed_point_census as fixed_point -import h0_nonce_fixed_point_census as nonce_census -from zero_score_lookup import CANONICAL_RECORD_BYTES - - -class NonceFixedPointCensusTests(unittest.TestCase): - def test_nonce_tail_is_two_self_cancelling_x_gates_per_bit(self) -> None: - tail = nonce_census._nonce_tail(5, 3) - self.assertEqual(len(tail), 6 * CANONICAL_RECORD_BYTES) - - def test_exact_reduced_nonce_census_is_complete(self) -> None: - report = nonce_census.census(fixed_point.Scope(1, 1), 2) - self.assertTrue(report["complete"]) - self.assertEqual(report["checked_pairs"], 64) - self.assertEqual(report["successful_pairs"], 1) - self.assertAlmostEqual(report["expected_pair_success_density"], 1 / 16) - - def test_invalid_nonce_is_rejected(self) -> None: - with self.assertRaises(ValueError): - nonce_census._nonce_tail(4, 2) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_h0_permutation_fixed_point_census.py b/src/point_add/memory/repro/test_h0_permutation_fixed_point_census.py deleted file mode 100644 index 8b41a918..00000000 --- a/src/point_add/memory/repro/test_h0_permutation_fixed_point_census.py +++ /dev/null @@ -1,28 +0,0 @@ -from __future__ import annotations - -import unittest - -import h0_permutation_fixed_point_census as permutation -from h0_fixed_point_census import Scope - - -class SemanticPermutationCensusTests(unittest.TestCase): - def test_row_variant_count_matches_distinct_serialized_streams(self) -> None: - variants = list(permutation._row_variants(key=0, correction=3, key_bits=2)) - self.assertEqual(permutation._row_variant_count(0, 3, 2), 16) - self.assertEqual(len(variants), 16) - self.assertEqual(len(set(variants)), 16) - - def test_small_exact_census_is_stable(self) -> None: - report = permutation.census(Scope(half_width=1, rows=1)) - self.assertEqual(report["candidate_tables"], 16) - self.assertEqual(report["declared_semantic_variants"], 70) - self.assertEqual(report["checked_semantic_variants"], 70) - self.assertEqual(report["unique_semantic_sha256"], 70) - self.assertEqual(report["semantic_sha256_collisions"], 0) - self.assertEqual(report["fixed_variants"], 8) - self.assertEqual(report["tables_with_fixed_variant"], 6) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_h3_affine_shell_rank.py b/src/point_add/memory/repro/test_h3_affine_shell_rank.py deleted file mode 100644 index c5b92e08..00000000 --- a/src/point_add/memory/repro/test_h3_affine_shell_rank.py +++ /dev/null @@ -1,28 +0,0 @@ -from __future__ import annotations - -import unittest - -import h3_affine_shell_rank as affine_rank - - -class AffineShellRankTests(unittest.TestCase): - def test_duplicate_features_expose_inconsistent_output_bit(self) -> None: - first = (0, 0, 0, 0, 0, 0) - second = (0, 0, 0, 0, 1, 0) - report = affine_rank.reduce_dataset([first, second]) - self.assertEqual(report["feature_rank"], 1) - self.assertEqual(report["dependency_rows"], 1) - self.assertEqual(report["inconsistent_output_bits"], 1) - self.assertEqual(report["exact_affine_output_bits"], 511) - self.assertNotIn(0, report["exact_affine_output_indices"]) - - def test_independent_rows_can_fit_every_output_bit(self) -> None: - rows = [(0, 0, 0, 0, 0, 0), (1, 0, 0, 0, 1, 0)] - report = affine_rank.reduce_dataset(rows) - self.assertEqual(report["feature_rank"], 2) - self.assertEqual(report["dependency_rows"], 0) - self.assertEqual(report["exact_affine_output_bits"], 512) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_repro_contracts.py b/src/point_add/memory/repro/test_repro_contracts.py deleted file mode 100644 index 08182b39..00000000 --- a/src/point_add/memory/repro/test_repro_contracts.py +++ /dev/null @@ -1,103 +0,0 @@ -from __future__ import annotations - -import math -import tempfile -import unittest -from pathlib import Path - -import y5_joint_codec_neighborhood as neighborhood -import y5_joint_codec_synth as joint -import y5_joint_codec_stochastic as stochastic -import y5_joint_codec_triple_fusion as triple_fusion -import y5_joint_codec_two_rebase as two_rebase -import y5_normalizer_synth as normalizer -import y5_pair25_quotient as quotient - - -class RetainedReproducerContracts(unittest.TestCase): - def setUp(self) -> None: - self._width = normalizer.WIDTH - self._reference_ccx_count = normalizer.REFERENCE_CCX_COUNT - self._reference_table = normalizer.reference_table - - def tearDown(self) -> None: - normalizer.WIDTH = self._width - normalizer.REFERENCE_CCX_COUNT = self._reference_ccx_count - normalizer.reference_table = self._reference_table - - def test_pair_compressor_derives_the_exact_pair25_domain(self) -> None: - pair_states = [ - quotient.compress_pair(first, second) - for first in quotient.VALID_SYMBOLS - for second in quotient.VALID_SYMBOLS - ] - self.assertEqual(len(pair_states), 25) - self.assertEqual(len(set(pair_states)), 25) - self.assertEqual(tuple(sorted(pair_states)), normalizer.PAIR25_INPUTS) - outputs = [normalizer.reference_table()[value] for value in pair_states] - self.assertEqual(sorted(outputs), list(range(25))) - - def test_joint_reference_is_a_nine_shear_six_wire_permutation(self) -> None: - operations, table = joint.configure_problem() - self.assertEqual(len(table), 64) - self.assertEqual(len(set(table)), 64) - self.assertEqual(sorted(table[value] for value in joint.PAIR_INPUTS), list(range(25))) - - program = normalizer.reference_program(operations) - self.assertEqual(len(program["shears"]), 9) - self.assertEqual( - normalizer.verify_program(program, table, list(range(64)))["verdict"], - "green", - ) - compiled = normalizer.compile_program(program) - compiled_report = normalizer.verify_compiled(compiled, table, list(range(64))) - self.assertEqual(compiled_report["verdict"], "green") - self.assertEqual(compiled_report["ccx"], 9) - - def test_exact_eight_cnf_matches_the_recorded_problem(self) -> None: - joint.configure_problem() - with tempfile.TemporaryDirectory() as directory: - output = Path(directory) - (output / "cnf").mkdir() - cnf, variables, table, path = joint.build_cnf(8, output) - self.assertTrue(path.is_file()) - self.assertEqual(cnf.nvars, 11_416) - self.assertEqual(len(cnf.clauses), 54_051) - self.assertEqual(len(variables.shears), 8) - self.assertEqual(len(table), 64) - - def test_stochastic_codec_fitness_distinguishes_exact_noninvertible_drop(self) -> None: - operations, table = joint.configure_problem() - reference = stochastic._from_program(normalizer.reference_program(operations)) - domain = list(joint.PAIR_INPUTS) - targets = [table[value] for value in domain] - initial_columns = stochastic._columns(domain, joint.WIDTH) - target_columns = stochastic._columns(targets, joint.WIDTH) - all_rows = (1 << len(domain)) - 1 - reference_result = stochastic.evaluate_sequence( - reference, initial_columns, target_columns, all_rows - ) - dropped_result = stochastic.evaluate_sequence( - reference[:2] + reference[3:], - initial_columns, - target_columns, - all_rows, - ) - self.assertEqual(reference_result.fitness, (0, 0, 0)) - self.assertEqual(dropped_result.errors, 0) - self.assertEqual(dropped_result.output_rank, 5) - self.assertGreater(dropped_result.fitness, reference_result.fitness) - - def test_neighborhood_branch_counts_match_the_recorded_scopes(self) -> None: - self.assertEqual(joint.REFERENCE_CCX_COUNT - 1, 8) - self.assertEqual( - math.comb(joint.REFERENCE_CCX_COUNT, 2) * two_rebase.BOUND, - 288, - ) - self.assertEqual(joint.REFERENCE_CCX_COUNT - 2, 7) - self.assertEqual(neighborhood.BOUND, 8) - self.assertEqual(triple_fusion.BOUND, 8) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_schema_harness.py b/src/point_add/memory/repro/test_schema_harness.py deleted file mode 100644 index ed5a9016..00000000 --- a/src/point_add/memory/repro/test_schema_harness.py +++ /dev/null @@ -1,240 +0,0 @@ -from __future__ import annotations - -import json -import tempfile -import unittest -from pathlib import Path - -import schema_harness as harness -import world_model as wm - - -HASH_A = "11" * 32 -HASH_B = "22" * 32 -HASH_C = "33" * 32 - - -def frontier_payload() -> dict[str, object]: - return { - "type": "frontier", - "iteration": 0, - "submission_id": "frontier", - "source_ref": "source", - "ops_sha256": HASH_A, - "canonical_ops_sha256": HASH_B, - "score": 20, - "qubits": 2, - "rounded_toffoli": 10, - "ceiling_score": 0, - "max_iterations": harness.MAX_ITERATIONS, - "instruments": { - "verifier_sha256": HASH_A, - "simulator_sha256": HASH_B, - "scorer_sha256": HASH_C, - "identity_sha256": "44" * 32, - }, - } - - -def prediction_payload( - iteration: int, - *, - niche: str = "H1-gcd-apply", - action_kind: wm.ActionKind = wm.ActionKind.NONCE_ONLY, -) -> dict[str, object]: - return { - "type": "prediction", - "iteration": iteration, - "niche": niche, - "action_kind": action_kind.value, - "candidate_id": f"candidate-{iteration}", - "parent_candidate_id": "frontier" if iteration == 1 else f"candidate-{iteration - 1}", - "parent_ops_sha256": HASH_A, - "mechanism": "characterization hypothesis", - "delta_qubits": 0, - "delta_toffoli_mean": -1.0, - "delta_toffoli_standard_deviation": 0.5, - "correctness_risk": "artifact reseed", - "full_verification_budget": 0, - "expected_invalidations": sorted( - dependency.value for dependency in wm.action_impact(action_kind).invalidated - ), - } - - -def observation_payload( - iteration: int, - *, - prediction_match: bool | None = True, - verdict: str = "pass", -) -> dict[str, object]: - return { - "type": "observation", - "iteration": iteration, - "observation_id": f"observation-{iteration}", - "stage": "proxy", - "evidence_kind": wm.EvidenceKind.LOW_SHOT_SCREEN.value, - "verdict": verdict, - "artifact_ops_sha256": f"{iteration:064x}", - "prediction_match": prediction_match, - "measurement": {"samples": 64}, - "conclusion": "recorded proxy outcome", - } - - -class SchemaHarnessLedgerTests(unittest.TestCase): - def test_hash_chain_and_iteration_contract_backtest_green(self) -> None: - with tempfile.TemporaryDirectory() as directory: - ledger = Path(directory) / "measurements.jsonl" - first = harness.append_payload( - ledger, frontier_payload(), recorded_at="2026-07-30T00:00:00Z" - ) - prediction = harness.append_payload( - ledger, - prediction_payload(1), - recorded_at="2026-07-30T00:01:00Z", - ) - observation = harness.append_payload( - ledger, - observation_payload(1), - recorded_at="2026-07-30T00:02:00Z", - ) - records = harness.load_ledger(ledger) - report = harness.backtest(records) - - self.assertEqual(first["previous_sha256"], harness.ZERO_HASH) - self.assertEqual(prediction["previous_sha256"], first["record_sha256"]) - self.assertEqual(observation["previous_sha256"], prediction["record_sha256"]) - self.assertEqual(report["verdict"], "green") - self.assertEqual(report["iterations_completed"], 1) - self.assertEqual(report["remaining_iterations"], 499) - - def test_prediction_rejects_unknown_niche_and_wrong_invalidation_map(self) -> None: - with tempfile.TemporaryDirectory() as directory: - ledger = Path(directory) / "measurements.jsonl" - harness.append_payload(ledger, frontier_payload()) - unknown = prediction_payload(1) - unknown["niche"] = "unknown" - with self.assertRaisesRegex(ValueError, "unknown niche"): - harness.append_payload(ledger, unknown) - - wrong = prediction_payload(1) - wrong["expected_invalidations"] = [] - with self.assertRaisesRegex(ValueError, "prediction invalidations"): - harness.append_payload(ledger, wrong) - - def test_measurement_only_prediction_allows_no_effect_but_no_claimed_delta(self) -> None: - with tempfile.TemporaryDirectory() as directory: - root = Path(directory) - ledger = root / "measurements.jsonl" - harness.append_payload(ledger, frontier_payload()) - measurement = prediction_payload(1, action_kind=wm.ActionKind.NO_EFFECT) - measurement["delta_toffoli_mean"] = 0.0 - harness.append_payload(ledger, measurement) - - invalid_ledger = root / "invalid.jsonl" - harness.append_payload(invalid_ledger, frontier_payload()) - invalid = prediction_payload(1, action_kind=wm.ActionKind.NO_EFFECT) - with self.assertRaisesRegex(ValueError, "measurement-only"): - harness.append_payload(invalid_ledger, invalid) - - def test_next_prediction_requires_observation_and_mismatch_reframe(self) -> None: - with tempfile.TemporaryDirectory() as directory: - ledger = Path(directory) / "measurements.jsonl" - harness.append_payload(ledger, frontier_payload()) - harness.append_payload(ledger, prediction_payload(1)) - with self.assertRaisesRegex(ValueError, "no observation"): - harness.append_payload(ledger, prediction_payload(2)) - - harness.append_payload( - ledger, - observation_payload(1, prediction_match=False, verdict="fail"), - ) - with self.assertRaisesRegex(ValueError, "requires a reframe"): - harness.append_payload(ledger, prediction_payload(2)) - - harness.append_payload( - ledger, - { - "type": "reframe", - "iteration": 1, - "claim": "the original mechanism was false", - "compression": "one endogenous artifact state explains the mismatch", - "forward_prediction": "the revised discriminator will separate the routes", - }, - ) - harness.append_payload(ledger, prediction_payload(2)) - self.assertEqual(harness.backtest(harness.load_ledger(ledger))["verdict"], "green") - - def test_tenth_iteration_requires_and_builds_content_addressed_checkpoint(self) -> None: - with tempfile.TemporaryDirectory() as directory: - root = Path(directory) - ledger = root / "measurements.jsonl" - harness.append_payload(ledger, frontier_payload()) - niches = tuple(harness.NICHES) - for iteration in range(1, 11): - harness.append_payload( - ledger, - prediction_payload(iteration, niche=niches[(iteration - 1) % len(niches)]), - ) - harness.append_payload(ledger, observation_payload(iteration)) - before = harness.backtest(harness.load_ledger(ledger)) - self.assertEqual(before["verdict"], "red") - self.assertIn("missing_checkpoint:10", before["failures"]) - - result = harness.checkpoint(ledger, root / "checkpoints", 10) - after = harness.backtest(harness.load_ledger(ledger)) - summary_path = Path(result["record"]["summary_path"]) - summary_bytes = summary_path.read_bytes().strip() - - self.assertEqual(after["verdict"], "green") - self.assertEqual(result["summary"]["iteration"], 10) - self.assertEqual( - result["record"]["summary_sha256"], - harness.hashlib.sha256(summary_bytes).hexdigest(), - ) - - def test_tampering_breaks_the_hash_chain(self) -> None: - with tempfile.TemporaryDirectory() as directory: - ledger = Path(directory) / "measurements.jsonl" - harness.append_payload(ledger, frontier_payload()) - row = json.loads(ledger.read_text(encoding="utf-8")) - row["score"] = 18 - ledger.write_text(json.dumps(row) + "\n", encoding="utf-8") - with self.assertRaisesRegex(ValueError, "record hash mismatch"): - harness.load_ledger(ledger) - - def test_portfolio_selects_the_least_sampled_niche(self) -> None: - records = ( - { - "type": "prediction", - "niche": "H0-zero-rounding", - "sequence": 1, - }, - { - "type": "prediction", - "niche": "H1-gcd-apply", - "sequence": 2, - }, - ) - selected = harness.select_niche(records) - self.assertEqual(selected["selected_niche"], "H2-square") - - def test_machine_portfolio_matches_harness_niches_and_score_boundaries(self) -> None: - portfolio_path = Path(__file__).resolve().parents[1] / "niche_portfolio.json" - portfolio = json.loads(portfolio_path.read_text(encoding="utf-8")) - niche_ids = {niche["id"] for niche in portfolio["niches"]} - self.assertEqual(niche_ids, set(harness.NICHES)) - self.assertTrue( - all(niche["stepping_stones"] for niche in portfolio["niches"]) - ) - frontier_score = portfolio["frontier"]["score"] - for boundary in portfolio["strict_improvement_thresholds"]: - qubits = boundary["qubits"] - maximum_toffoli = boundary["maximum_rounded_toffoli"] - self.assertLess(maximum_toffoli * qubits, frontier_score) - self.assertGreaterEqual((maximum_toffoli + 1) * qubits, frontier_score) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_verifier_ceiling.py b/src/point_add/memory/repro/test_verifier_ceiling.py deleted file mode 100644 index 34104a42..00000000 --- a/src/point_add/memory/repro/test_verifier_ceiling.py +++ /dev/null @@ -1,89 +0,0 @@ -from __future__ import annotations - -import unittest -from pathlib import Path - -import h0_classical_independence as independence - -import verifier_ceiling as ceiling -import zero_score_lookup as lookup - - -class VerifierCeilingTests(unittest.TestCase): - def test_pinned_contract_proves_zero_floor_but_current_witness_does_not_attain_it(self) -> None: - repo = Path(__file__).resolve().parents[4] - report = ceiling.verify_bounds(repo, repo / "score.json") - self.assertEqual(report["verdict"], "green") - self.assertEqual(report["absolute_score_lower_bound"], 0) - self.assertEqual(report["best_witness_upper_bound"], 1_490_805_286) - self.assertEqual(report["open_score_gap"], 1_490_805_286) - self.assertFalse(report["attained"]) - self.assertEqual(report["achievability_status"], "lower_bound_only") - self.assertTrue(all(check["green"] for check in report["checks"])) - - def test_zero_rounding_boundary_is_exact(self) -> None: - self.assertEqual(ceiling.ZERO_SCORE_MAX_TOTAL_TOFFOLI, 4_511) - self.assertEqual( - ceiling.score_from_totals(4_511, ceiling.FULL_VERIFICATION_SHOTS, 512), - 0, - ) - self.assertEqual( - ceiling.score_from_totals(4_512, ceiling.FULL_VERIFICATION_SHOTS, 512), - 512, - ) - - -class ZeroScoreLookupTests(unittest.TestCase): - @classmethod - def setUpClass(cls) -> None: - cls.powers = lookup._fixed_base_table() - - def test_fixed_base_arithmetic_matches_generator_group(self) -> None: - infinity, generator, doubled, wrapped = lookup._fixed_base_mul_many( - [0, 1, 2, lookup.ORDER], self.powers - ) - self.assertEqual(infinity, (0, 0)) - self.assertEqual(generator, (lookup.GX, lookup.GY)) - self.assertEqual(wrapped, (0, 0)) - self.assertEqual( - doubled, - ( - 0xC6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5, - 0x1AE168FEA63DC339A3C58419466CEAEEF7F632653266D0E1236431A950CFE52A, - ), - ) - - def test_frozen_lookup_is_exact_on_unique_classical_prefixes(self) -> None: - rows = [ - (1, 2, 0, 0, 5, 7), - (3, 4, 1, 0, 8, 9), - (10, 11, 2, 0, 12, 13), - ] - width = lookup._minimum_unique_prefix(rows) - table = lookup._lookup_rows(rows, width) - failures, hits = lookup._lookup_failures(rows, table, width) - self.assertEqual(width, 2) - self.assertEqual(failures, 0) - self.assertEqual(hits, len(rows)) - self.assertEqual(lookup._lookup_op_count(table, width), 1_061) - - -class ClassicalIndependenceProofTests(unittest.TestCase): - def test_pinned_transition_table_blocks_quantum_to_classical_extraction(self) -> None: - repo = Path(__file__).resolve().parents[4] - report = independence.verify(repo) - self.assertEqual(report["verdict"], "green") - self.assertEqual(report["transition_proof"]["operation_types_checked"], 18) - self.assertEqual(report["transition_proof"]["classical_writers_checked"], 4) - - def test_quantum_leaking_hmr_breaks_the_inductive_invariant(self) -> None: - report = independence.verify_independence(hmr_leaks_quantum=True) - self.assertEqual(report["verdict"], "red") - self.assertEqual( - report["failures"], - ["Hmr:classical_target_depends_on_initial_quantum"], - ) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_world_model.py b/src/point_add/memory/repro/test_world_model.py deleted file mode 100644 index 9082c216..00000000 --- a/src/point_add/memory/repro/test_world_model.py +++ /dev/null @@ -1,400 +0,0 @@ -from __future__ import annotations - -import tempfile -import unittest -from pathlib import Path - -import world_model as wm - - -HASH_B = "ab" * 32 -HASH_C = "cd" * 32 -INSTRUMENT_HASH = "ef" * 32 - - -def prediction(kind: wm.ActionKind, prediction_id: str) -> wm.Prediction: - return wm.Prediction( - prediction_id=prediction_id, - mechanism=f"characterize {kind.value}", - delta_qubits=0, - delta_toffoli_mean=0.0, - delta_toffoli_standard_deviation=0.0, - correctness_risk="characterization fixture", - full_verification_budget=1, - expected_invalidations=wm.action_impact(kind).invalidated, - ) - - -def candidate( - *, - candidate_id: str = "candidate", - parent_submission_id: str = wm.CURRENT_FRONTIER.submission_id, - ops_sha256: str | None = HASH_B, - source_ref: str = "working-tree:candidate", - qubits: int | None = 1_154, -) -> wm.Candidate: - return wm.Candidate( - candidate_id=candidate_id, - parent_submission_id=parent_submission_id, - source_ref=source_ref, - ops_sha256=ops_sha256, - nonce=7, - nonce_policy=wm.NoncePolicy.FIXED, - qubits=qubits, - ) - - -def verification( - *, - ops_sha256: str | None = HASH_B, - shots: int = wm.FULL_VERIFICATION_SHOTS, - qubits: int = 1_154, - rounded_toffoli: int = 1_291_858, - classical_failures: int = 0, - phase_garbage_batches: int = 0, - ancilla_garbage_batches: int = 0, - evidence_kind: wm.EvidenceKind = wm.EvidenceKind.TRUSTED_FULL, -) -> wm.Verification: - return wm.Verification( - evidence_kind=evidence_kind, - ops_sha256=ops_sha256, - shots=shots, - qubits=qubits, - total_toffoli=rounded_toffoli * shots, - average_toffoli=float(rounded_toffoli), - classical_failures=classical_failures, - phase_garbage_batches=phase_garbage_batches, - ancilla_garbage_batches=ancilla_garbage_batches, - ) - - -def promoted_row( - submission_id: str, - source_ref: str, - created_at: str, - qubits: int, - rounded_toffoli: int, -) -> dict[str, object]: - return { - "id": submission_id, - "status": "accepted", - "officialScore": qubits * rounded_toffoli, - "officialMetrics": {"qubits": qubits, "toffoli": rounded_toffoli}, - "improved": True, - "promotionStatus": "promoted", - "promotedSourceRef": source_ref, - "createdAt": created_at, - } - - -class WorldModelInvalidationTests(unittest.TestCase): - def test_nonce_only_invalidates_exact_result_but_preserves_function_proof(self) -> None: - impact = wm.action_impact(wm.ActionKind.NONCE_ONLY) - self.assertEqual( - impact.invalidated, - { - wm.Dependency.FIAT_SHAMIR_SEED, - wm.Dependency.TRUSTED_VERIFICATION, - wm.Dependency.EXECUTED_TOFFOLI_DRAW, - }, - ) - self.assertIn(wm.Dependency.CIRCUIT_FUNCTION_PROOF, impact.preserved) - - action = wm.Action( - kind=wm.ActionKind.NONCE_ONLY, - before_ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - after_ops_sha256=HASH_B, - prediction=prediction(wm.ActionKind.NONCE_ONLY, "nonce-only"), - ) - self.assertTrue(wm.full_verification_gate(action).allowed) - - def test_geometry_removes_artifact_bound_calibrations(self) -> None: - instruments = wm.InstrumentSet( - verifier_sha256="01" * 32, - simulator_sha256="02" * 32, - scorer_sha256="03" * 32, - ) - calibrations = tuple( - wm.Calibration( - dependency=dependency, - artifact_ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - instrument_sha256=INSTRUMENT_HASH, - evidence_id=f"baseline-{dependency.value}", - samples=1, - ) - for dependency in ( - wm.Dependency.STRIP_KEYS, - wm.Dependency.CAP_OPTIMUM, - wm.Dependency.COST_CALIBRATION, - wm.Dependency.CLEAN_DENSITY, - ) - ) + ( - wm.Calibration( - dependency=wm.Dependency.SCORER_CONTRACT, - artifact_ops_sha256=None, - instrument_sha256=INSTRUMENT_HASH, - evidence_id="exact-scorer", - samples=416, - ), - ) - state = wm.WorldState( - frontier=wm.CURRENT_FRONTIER, - instruments=instruments, - calibrations=calibrations, - ) - action = wm.Action( - kind=wm.ActionKind.GEOMETRY, - before_ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - after_ops_sha256=HASH_B, - prediction=prediction(wm.ActionKind.GEOMETRY, "geometry"), - ) - transitioned = wm.apply_action(state, action, candidate()) - - self.assertIs(transitioned.status, wm.PlanStatus.ACTIVE) - self.assertEqual( - {calibration.dependency for calibration in transitioned.calibrations}, - {wm.Dependency.SCORER_CONTRACT}, - ) - for dependency in ( - wm.Dependency.STRIP_KEYS, - wm.Dependency.CAP_OPTIMUM, - wm.Dependency.COST_CALIBRATION, - wm.Dependency.CLEAN_DENSITY, - ): - self.assertIn(dependency, transitioned.invalidated) - self.assertNotIn(wm.Dependency.SCORER_CONTRACT, transitioned.invalidated) - - def test_byte_identical_action_blocks_expensive_verification(self) -> None: - action = wm.Action( - kind=wm.ActionKind.NO_EFFECT, - before_ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - after_ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - prediction=prediction(wm.ActionKind.NO_EFFECT, "no-effect"), - ) - decision = wm.full_verification_gate(action) - self.assertFalse(decision.allowed) - self.assertIn("byte_identical_no_effect", decision.reasons) - - def test_prediction_mismatch_aborts_transition(self) -> None: - instruments = wm.InstrumentSet( - verifier_sha256="01" * 32, - simulator_sha256="02" * 32, - scorer_sha256="03" * 32, - ) - wrong_prediction = wm.Prediction( - prediction_id="wrong-invalidation-map", - mechanism="claim a geometry change is nonce-only", - delta_qubits=-1, - delta_toffoli_mean=0.0, - delta_toffoli_standard_deviation=0.0, - correctness_risk="understated", - full_verification_budget=1, - expected_invalidations=wm.action_impact(wm.ActionKind.NONCE_ONLY).invalidated, - ) - action = wm.Action( - kind=wm.ActionKind.GEOMETRY, - before_ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - after_ops_sha256=HASH_B, - prediction=wrong_prediction, - ) - transitioned = wm.apply_action( - wm.WorldState(wm.CURRENT_FRONTIER, instruments), - action, - candidate(), - ) - self.assertIs(transitioned.status, wm.PlanStatus.ABORTED) - self.assertIn("preregistered prediction", transitioned.abort_reason or "") - - -class PromotionGateTests(unittest.TestCase): - def test_exact_full_fresh_strict_beat_is_allowed(self) -> None: - decision = wm.promotion_gate(candidate(), verification(), wm.CURRENT_FRONTIER) - self.assertTrue(decision.allowed) - self.assertLess(decision.candidate_score or wm.CURRENT_FRONTIER.score, wm.CURRENT_FRONTIER.score) - - def test_missing_hash_full_pass_freshness_and_score_each_deny_promotion(self) -> None: - cases = { - "missing-hash": ( - candidate(ops_sha256=None), - verification(), - "missing_candidate_ops_hash", - ), - "short-run": ( - candidate(), - verification(shots=64), - "verification_not_9024_shots", - ), - "failed-run": ( - candidate(), - verification(classical_failures=1), - "trusted_correctness_failure", - ), - "stale-frontier": ( - candidate(parent_submission_id="older-frontier"), - verification(), - "stale_frontier_parent", - ), - "non-improving": ( - candidate(), - verification(rounded_toffoli=wm.CURRENT_FRONTIER.rounded_toffoli), - "score_does_not_strictly_improve_frontier", - ), - } - for name, (test_candidate, test_verification, expected_reason) in cases.items(): - with self.subTest(name=name): - decision = wm.promotion_gate( - test_candidate, - test_verification, - wm.CURRENT_FRONTIER, - ) - self.assertFalse(decision.allowed) - self.assertIn(expected_reason, decision.reasons) - - def test_q1145_local_miter_counterexample_remains_denied(self) -> None: - instruments = wm.InstrumentSet( - verifier_sha256="01" * 32, - simulator_sha256="02" * 32, - scorer_sha256="03" * 32, - ) - local_proof = wm.EvidenceEvent( - event_id="q1145-local-miter", - kind=wm.EvidenceKind.SCOPED_MACHINE_PROOF, - observed_at="2026-07-10T13:30:00Z", - statement="isolated comparator and carry miters passed", - source_ref="422f21d:q1145-v3", - artifact_ops_sha256=HASH_C, - ) - state = wm.append_evidence(wm.WorldState(wm.CURRENT_FRONTIER, instruments), local_proof) - self.assertEqual(len(state.timeline), 1) - - q1145_candidate = candidate( - candidate_id="q1145-v3", - ops_sha256=HASH_C, - source_ref="422f21d:q1145-v3", - qubits=1_145, - ) - trusted_failure = verification( - ops_sha256=HASH_C, - qubits=1_145, - rounded_toffoli=1_300_000, - classical_failures=28, - phase_garbage_batches=20, - ) - decision = wm.promotion_gate( - q1145_candidate, - trusted_failure, - wm.CURRENT_FRONTIER, - ) - self.assertFalse(decision.allowed) - self.assertIn("trusted_correctness_failure", decision.reasons) - - def test_current_frontier_is_a_fixture_not_a_new_promotion(self) -> None: - frontier_candidate = wm.Candidate( - candidate_id="cf5aa02-characterization", - parent_submission_id=wm.CURRENT_FRONTIER.submission_id, - source_ref=wm.CURRENT_FRONTIER.source_ref, - ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - canonical_ops_sha256=wm.CURRENT_FRONTIER.canonical_ops_sha256, - nonce_policy=wm.NoncePolicy.INHERITED, - qubits=wm.CURRENT_FRONTIER.qubits, - emitted_ops=wm.CURRENT_FRONTIER.emitted_ops, - ) - decision = wm.promotion_gate( - frontier_candidate, - wm.CURRENT_FRONTIER_VERIFICATION, - wm.CURRENT_FRONTIER, - ) - self.assertFalse(decision.allowed) - self.assertEqual(decision.candidate_score, wm.CURRENT_FRONTIER.score) - self.assertIn("current_frontier_is_characterization_only", decision.reasons) - self.assertIn("score_does_not_strictly_improve_frontier", decision.reasons) - - -class EvidenceTimelineTests(unittest.TestCase): - def test_jsonl_timeline_is_append_only_and_duplicate_safe(self) -> None: - first = wm.EvidenceEvent( - event_id="first", - kind=wm.EvidenceKind.NARRATIVE, - observed_at="2026-07-29T00:00:00Z", - statement="prediction registered", - source_ref=wm.CURRENT_FRONTIER.source_ref, - prediction_id="prediction-1", - ) - second = wm.EvidenceEvent( - event_id="second", - kind=wm.EvidenceKind.BYTE_IDENTICAL, - observed_at="2026-07-29T00:01:00Z", - statement="candidate emitted the baseline operation stream", - artifact_ops_sha256=wm.CURRENT_FRONTIER.ops_sha256, - prediction_id="prediction-1", - prediction_match=False, - ) - with tempfile.TemporaryDirectory() as directory: - path = Path(directory) / "measurements.jsonl" - wm.append_evidence_jsonl(path, first) - wm.append_evidence_jsonl(path, second) - self.assertEqual(wm.load_evidence_jsonl(path), (first, second)) - with self.assertRaises(ValueError): - wm.append_evidence_jsonl(path, first) - - instruments = wm.InstrumentSet( - verifier_sha256="01" * 32, - simulator_sha256="02" * 32, - scorer_sha256="03" * 32, - ) - state = wm.append_evidence(wm.WorldState(wm.CURRENT_FRONTIER, instruments), second) - self.assertIs(state.status, wm.PlanStatus.ABORTED) - self.assertIn("second", state.abort_reason or "") - - -class PromotedHistoryBacktestTests(unittest.TestCase): - def test_known_lineage_replays_in_strict_frontier_order(self) -> None: - rows = [ - promoted_row( - "30c8dede-fa09-466a-b19d-f4d14bc1ad2a", - "6f7c159b3cc0ce57e9561cf95b35117e0b012ef6", - "2026-05-30T07:41:45.340Z", - 2_715, - 3_960_753, - ), - promoted_row( - "middle", - "1111111111111111111111111111111111111111", - "2026-06-15T00:00:00.000Z", - 1_300, - 1_200_000, - ), - promoted_row( - wm.CURRENT_FRONTIER.submission_id, - wm.CURRENT_FRONTIER.source_ref, - "2026-07-28T22:13:48.764Z", - wm.CURRENT_FRONTIER.qubits, - wm.CURRENT_FRONTIER.rounded_toffoli, - ), - ] - report = wm.backtest_promoted_history( - {"submissions": rows}, - expected_count=3, - expected_frontier=wm.CURRENT_FRONTIER, - ) - self.assertEqual(report.verdict, "green") - self.assertEqual(report.promoted_rows_checked, 3) - self.assertEqual(report.first.score if report.first else None, 10_753_444_395) - self.assertEqual(report.last.score if report.last else None, wm.CURRENT_FRONTIER.score) - - def test_history_score_corruption_is_rejected(self) -> None: - row = promoted_row( - "corrupt", - "2222222222222222222222222222222222222222", - "2026-06-01T00:00:00.000Z", - 2_000, - 2_000_000, - ) - row["officialScore"] = 1 - report = wm.backtest_promoted_history([row], expected_count=1) - self.assertEqual(report.verdict, "red") - self.assertIn("score_mismatch", report.failures[0].reason) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_y1_composite_synth.py b/src/point_add/memory/repro/test_y1_composite_synth.py deleted file mode 100644 index c4aa3297..00000000 --- a/src/point_add/memory/repro/test_y1_composite_synth.py +++ /dev/null @@ -1,109 +0,0 @@ -from __future__ import annotations - -import itertools -import unittest -import subprocess -import tempfile -from pathlib import Path -from unittest import mock - -import y1_composite_synth as synth - - -def clauses_hold(clauses: list[list[int]], assignment: dict[int, int]) -> bool: - return all( - any( - assignment[abs(literal)] == int(literal > 0) - for literal in clause - ) - for clause in clauses - ) - - -class Y1CompositeSynthesisTests(unittest.TestCase): - def test_domain_has_every_restricted_input_once(self) -> None: - rows = synth.samples() - self.assertEqual(len(rows), 48) - self.assertEqual(len({row["inputs"] for row in rows}), 48) - for row in rows: - self.assertEqual(row["u"] & 1, 1) - self.assertEqual(row["v"] & 1, row["t"]) - self.assertTrue(not row["s"] or row["t"]) - - def test_reference_map_is_injective_on_restricted_domain(self) -> None: - rows = synth.samples() - self.assertEqual(len({row["outputs"] for row in rows}), len(rows)) - - def test_and_tseitin_encoding_has_exact_truth_table(self) -> None: - cnf = synth.Cnf() - left = cnf.variable() - right = cnf.variable() - output = cnf.variable() - cnf.equivalence_and(output, left, right) - for left_value, right_value, output_value in itertools.product(range(2), repeat=3): - observed = clauses_hold( - cnf.clauses, - {left: left_value, right: right_value, output: output_value}, - ) - self.assertEqual(observed, output_value == (left_value & right_value)) - - def test_xor_tseitin_encoding_has_exact_truth_table(self) -> None: - cnf = synth.Cnf() - left = cnf.variable() - right = cnf.variable() - output = cnf.variable() - cnf.equivalence_xor(output, left, right) - for left_value, right_value, output_value in itertools.product(range(2), repeat=3): - observed = clauses_hold( - cnf.clauses, - {left: left_value, right: right_value, output: output_value}, - ) - self.assertEqual(observed, output_value == (left_value ^ right_value)) - - def test_semantic_replay_rejects_zero_program(self) -> None: - program = { - "basis": ["1", *synth.INPUT_NAMES], - "gates": [], - "outputs": [[0] * (1 + len(synth.INPUT_NAMES)) for _ in synth.OUTPUT_NAMES], - } - report = synth.verify_program(program, synth.samples()) - self.assertEqual(report["verdict"], "red") - self.assertGreater(len(report["failures"]), 0) - - def test_resume_reuses_completed_solver_log(self) -> None: - with tempfile.TemporaryDirectory(dir=synth.REPO_ROOT) as directory: - root = Path(directory) - cnf_path = root / "case.cnf" - log_path = root / "case.log" - cnf_path.write_text("p cnf 0 0\n") - log_path.write_text("s UNSATISFIABLE\n") - with mock.patch.object(synth.subprocess, "run") as run: - report = synth.run_solver( - "solver", "/solver", 4, cnf_path, log_path, 1, True - ) - run.assert_not_called() - self.assertEqual(report["status"], "unsat") - self.assertTrue(report["cached"]) - self.assertTrue(report["returncode_expected"]) - - def test_timeout_is_recorded_instead_of_raising(self) -> None: - with tempfile.TemporaryDirectory(dir=synth.REPO_ROOT) as directory: - root = Path(directory) - cnf_path = root / "case.cnf" - log_path = root / "case.log" - cnf_path.write_text("p cnf 0 0\n") - timeout = subprocess.TimeoutExpired( - ["/solver", str(cnf_path)], 1, output=b"c partial solver log\n" - ) - with mock.patch.object(synth.subprocess, "run", side_effect=timeout): - report = synth.run_solver( - "solver", "/solver", 4, cnf_path, log_path, 1, False - ) - self.assertEqual(report["status"], "timeout") - self.assertFalse(report["cached"]) - self.assertFalse(report["returncode_expected"]) - self.assertEqual(log_path.read_text(), "c partial solver log\n") - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_y3_global_codec.py b/src/point_add/memory/repro/test_y3_global_codec.py deleted file mode 100644 index 24e89b48..00000000 --- a/src/point_add/memory/repro/test_y3_global_codec.py +++ /dev/null @@ -1,38 +0,0 @@ -from __future__ import annotations - -import unittest - -import y3_global_codec as codec - - -class Y3GlobalCodecTests(unittest.TestCase): - def test_production_tape_sizes(self) -> None: - iters, schedule = codec.parse_schedule() - self.assertEqual(len(schedule), iters) - self.assertEqual(codec.current_tape_bits(iters, tail4=False), 609) - self.assertEqual(codec.current_tape_bits(iters, tail4=True), 605) - - def test_terminal_reverse_tree_matches_exact_recurrence(self) -> None: - _, schedule = codec.parse_schedule() - rows = codec.enumerate_terminal_tree(schedule, state_cap=1_000) - self.assertEqual([row["reachable_states"] for row in rows[:4]], [3, 13, 63, 313]) - self.assertEqual( - [row["unrestricted_states"] for row in rows[:4]], - [(5**depth + 1) // 2 for depth in range(1, 5)], - ) - - def test_implemented_tail4_decoder_is_injective(self) -> None: - support = codec.decode_tail4_support() - self.assertEqual(len(support), 32) - self.assertTrue(all(len(pattern) == 4 for pattern in support)) - - def test_small_inputs_reach_the_pinned_terminal_state(self) -> None: - _, schedule = codec.parse_schedule() - for value in range(1, 65): - dialog, outcome = codec.run_walk(value, schedule) - self.assertEqual(outcome, "terminal") - self.assertEqual(len(dialog), len(schedule)) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/test_y5_normalizer_synth.py b/src/point_add/memory/repro/test_y5_normalizer_synth.py deleted file mode 100644 index 84086f33..00000000 --- a/src/point_add/memory/repro/test_y5_normalizer_synth.py +++ /dev/null @@ -1,82 +0,0 @@ -from __future__ import annotations - -import unittest - -import y5_normalizer_synth as synth - - -class Y5NormalizerSynthesisTests(unittest.TestCase): - def test_reference_is_the_expected_five_wire_permutation(self) -> None: - operations = synth.load_reference_ops() - table = synth.reference_table(operations) - self.assertEqual(len(operations), 104) - self.assertEqual(sum(kind == "CCX" for kind, _, _, _ in operations), 6) - self.assertEqual(len(set(table)), 32) - self.assertEqual(synth.anf_report(table)["output_degrees"], [3, 4, 3, 4, 4]) - - def test_reference_decomposes_into_six_generalized_shears(self) -> None: - operations = synth.load_reference_ops() - table = synth.reference_table(operations) - program = synth.reference_program(operations) - self.assertEqual(synth.verify_program(program, table)["verdict"], "green") - self.assertEqual(len(program["shears"]), 6) - compiled = synth.compile_program(program) - report = synth.verify_compiled(compiled, table) - self.assertEqual(report["verdict"], "green") - self.assertEqual(report["ccx"], 6) - - def test_generalized_shear_compiles_to_one_ccx_without_ancilla(self) -> None: - program = { - "width": 5, - "shears": [ - { - "enabled": 1, - "left": [1, 1, 0, 1, 0, 0], - "right": [0, 0, 1, 0, 1, 0], - "direction": [0, 0, 0, 0, 1], - } - ], - "outputs": [ - [0, 1, 0, 0, 0, 0], - [0, 0, 1, 0, 0, 0], - [0, 0, 0, 1, 0, 0], - [0, 0, 0, 0, 1, 0], - [0, 0, 0, 0, 0, 1], - ], - } - table = [synth.evaluate_program(program, value) for value in range(32)] - compiled = synth.compile_program(program) - report = synth.verify_compiled(compiled, table) - self.assertEqual(report["verdict"], "green") - self.assertEqual(report["ccx"], 1) - self.assertTrue(all(max(first, second, third) < 5 for _, first, second, third in compiled)) - - def test_at_most_five_encoding_covers_every_input(self) -> None: - cnf, variables, table = synth.build_problem(5) - self.assertEqual(len(table), 32) - self.assertEqual(len(variables.shears), 5) - self.assertEqual(len(variables.outputs), 5) - self.assertGreater(cnf.nvars, 0) - self.assertGreater(len(cnf.clauses), 0) - - def test_pair25_domain_maps_bijectively_to_canonical_codes(self) -> None: - table = synth.reference_table() - outputs = [table[value] for value in synth.PAIR25_INPUTS] - self.assertEqual(len(synth.PAIR25_INPUTS), 25) - self.assertEqual(len(set(synth.PAIR25_INPUTS)), 25) - self.assertEqual(sorted(outputs), list(range(25))) - _, variables, _ = synth.build_problem(5, list(synth.PAIR25_INPUTS)) - self.assertEqual(len(variables.shears), 5) - - def test_exact_encoding_enables_every_shear(self) -> None: - cnf, variables, _ = synth.build_problem( - 5, list(synth.PAIR25_INPUTS), exact=True - ) - unit_clauses = {clause[0] for clause in cnf.clauses if len(clause) == 1} - self.assertTrue( - all(shear.enabled in unit_clauses for shear in variables.shears) - ) - - -if __name__ == "__main__": - unittest.main() diff --git a/src/point_add/memory/repro/verifier_ceiling.py b/src/point_add/memory/repro/verifier_ceiling.py deleted file mode 100755 index 37aec469..00000000 --- a/src/point_add/memory/repro/verifier_ceiling.py +++ /dev/null @@ -1,170 +0,0 @@ -#!/usr/bin/env python3 -"""Machine-check the absolute score floor implied by the trusted verifier. - -The scorer has a numeric floor of zero. That floor becomes the exact attainable -minimum only when an official passing artifact scores zero; until then this -program reports an open lower/upper interval instead of inventing a circuit -lower bound that the verifier does not establish. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -from pathlib import Path -from typing import Any - -try: - from exact_scorer import score, score_from_totals - from world_model import CURRENT_FRONTIER, FULL_VERIFICATION_SHOTS -except ModuleNotFoundError: - from .exact_scorer import score, score_from_totals - from .world_model import CURRENT_FRONTIER, FULL_VERIFICATION_SHOTS - -PINNED_TRUSTED_SHA256 = { - "src/bin/eval_circuit.rs": "b35314bc47a5f8eecbf60459e6c76c9b43aa034eeb9b7ec3421655d74f9e890b", - "src/sim.rs": "f0c72f2a280cd68acee1dbf8282098f72d6b3bf4311e0abf96d122fe002256d7", - "src/circuit.rs": "ac2255f6bcb6895c9da2dfe21c3a051a0ef8fc4e0af9598634fec0035dbf35c6", - "src/point_add/memory/repro/exact_scorer.py": "03895414b4b5c8fc8951747593a260292e8ba75a46a298c097d24d781e6f0b8a", - "benchmark.sh": "1f963341bfbe3d052d904c7cc5ff9d67ca9df5c98ef623092635971e18f4f941", - "benchmark.json": "8e7cd12214e6ed93932ef1a01e89f92836905d4f1ebc708a217dd7fe7f87ba0c", -} -INTENDED_OUTPUT_QUBITS = 2 * 256 -ABSOLUTE_SCORE_FLOOR = 0 -ZERO_SCORE_MAX_TOTAL_TOFFOLI = (FULL_VERIFICATION_SHOTS - 1) // 2 - - -def _sha256(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb") as source: - for chunk in iter(lambda: source.read(1024 * 1024), b""): - digest.update(chunk) - return digest.hexdigest() - - -def _check(name: str, condition: bool, detail: str) -> dict[str, Any]: - return {"name": name, "green": condition, "detail": detail} - - -def verify_bounds(repo: Path, score_path: Path | None = None) -> dict[str, Any]: - checks: list[dict[str, Any]] = [] - observed_hashes: dict[str, str] = {} - for relative, expected in PINNED_TRUSTED_SHA256.items(): - actual = _sha256(repo / relative) - observed_hashes[relative] = actual - checks.append( - _check( - f"trusted_hash:{relative}", - actual == expected, - f"expected={expected}:actual={actual}", - ) - ) - - score_at_zero = score_from_totals(0, FULL_VERIFICATION_SHOTS, INTENDED_OUTPUT_QUBITS) - score_at_zero_boundary = score_from_totals( - ZERO_SCORE_MAX_TOTAL_TOFFOLI, - FULL_VERIFICATION_SHOTS, - INTENDED_OUTPUT_QUBITS, - ) - score_after_boundary = score_from_totals( - ZERO_SCORE_MAX_TOTAL_TOFFOLI + 1, - FULL_VERIFICATION_SHOTS, - INTENDED_OUTPUT_QUBITS, - ) - checks.extend( - ( - _check( - "nonnegative_product_floor", - score_at_zero == ABSOLUTE_SCORE_FLOOR, - f"score(total=0)={score_at_zero}", - ), - _check( - "rounding_zero_boundary", - score_at_zero_boundary == ABSOLUTE_SCORE_FLOOR, - ( - f"total={ZERO_SCORE_MAX_TOTAL_TOFFOLI}:" - f"score={score_at_zero_boundary}" - ), - ), - _check( - "rounding_positive_after_boundary", - score_after_boundary == INTENDED_OUTPUT_QUBITS, - ( - f"total={ZERO_SCORE_MAX_TOTAL_TOFFOLI + 1}:" - f"score={score_after_boundary}" - ), - ), - _check( - "current_frontier_score", - score( - float(CURRENT_FRONTIER.rounded_toffoli), - CURRENT_FRONTIER.qubits, - ) - == CURRENT_FRONTIER.score, - f"score={CURRENT_FRONTIER.score}", - ), - ) - ) - - candidate_score: int | None = None - if score_path is not None and score_path.exists(): - score_payload = json.loads(score_path.read_text(encoding="utf-8")) - candidate_score = score_payload.get("score") - checks.append( - _check( - "candidate_score_is_nonnegative_integer", - type(candidate_score) is int and candidate_score >= 0, - f"candidate_score={candidate_score}", - ) - ) - - mechanics_green = all(check["green"] for check in checks) - attained = mechanics_green and candidate_score == ABSOLUTE_SCORE_FLOOR - upper_bound = ( - candidate_score - if type(candidate_score) is int and candidate_score >= 0 - else CURRENT_FRONTIER.score - ) - return { - "model": "eval_circuit.rs::write_score absolute floor", - "verdict": "green" if mechanics_green else "red", - "achievability_status": "attained_by_supplied_score" if attained else "lower_bound_only", - "absolute_score_lower_bound": ABSOLUTE_SCORE_FLOOR, - "best_witness_upper_bound": upper_bound, - "open_score_gap": upper_bound - ABSOLUTE_SCORE_FLOOR, - "full_verification_shots": FULL_VERIFICATION_SHOTS, - "zero_score_condition": { - "maximum_total_executed_toffoli": ZERO_SCORE_MAX_TOTAL_TOFFOLI, - "strict_average_upper_bound": 0.5, - }, - "intended_distinct_output_qubits": INTENDED_OUTPUT_QUBITS, - "attained": attained, - "trusted_sha256": observed_hashes, - "checks": checks, - "scope_warning": ( - "The trusted verifier supplies no nontrivial global Toffoli lower bound. " - "Zero is a proved scorer floor, not an attained circuit bound without an official witness." - ), - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--verify", action="store_true", help="exit nonzero if a pinned premise fails") - parser.add_argument("--json", action="store_true", help="emit compact JSON") - parser.add_argument( - "--score-json", - type=Path, - help="optional trusted score.json witness; defaults to the repository score.json", - ) - args = parser.parse_args() - repo = Path(__file__).resolve().parents[4] - score_path = args.score_json if args.score_json is not None else repo / "score.json" - report = verify_bounds(repo, score_path) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return int(args.verify and report["verdict"] != "green") - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/world_model.py b/src/point_add/memory/repro/world_model.py deleted file mode 100755 index ca5d6e1f..00000000 --- a/src/point_add/memory/repro/world_model.py +++ /dev/null @@ -1,965 +0,0 @@ -#!/usr/bin/env python3 -"""Executable evidence and invalidation model for the fixed ECDSA Fail benchmark. - -This module models what survives a circuit change and what evidence is required -before spending a trusted 9,024-shot verification. It does not simulate circuits -and cannot certify a novel candidate; only ``eval_circuit`` can do that. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -import math -import os -from collections.abc import Mapping, Sequence -from dataclasses import dataclass, replace -from enum import Enum -from pathlib import Path -from typing import Any - -try: - from exact_scorer import score as exact_score - from exact_scorer import score_from_totals -except ModuleNotFoundError: - from .exact_scorer import score as exact_score - from .exact_scorer import score_from_totals - -FULL_VERIFICATION_SHOTS = 9_024 -_SHA256_HEX_LENGTH = 64 - - -def _require_nonempty(name: str, value: str) -> str: - if not isinstance(value, str) or not value.strip(): - raise ValueError(f"{name} must be a non-empty string") - return value - - -def _require_nonnegative_int(name: str, value: int) -> int: - if type(value) is not int: - raise TypeError(f"{name} must be an int") - if value < 0: - raise ValueError(f"{name} must be non-negative") - return value - - -def _require_sha256(name: str, value: str | None) -> str | None: - if value is None: - return None - if not isinstance(value, str) or len(value) != _SHA256_HEX_LENGTH: - raise ValueError(f"{name} must be a 64-character SHA-256 hex digest") - try: - bytes.fromhex(value) - except ValueError as error: - raise ValueError(f"{name} must be hexadecimal") from error - return value.lower() - - -def _require_finite_nonnegative(name: str, value: float) -> float: - if isinstance(value, bool) or not isinstance(value, (int, float)): - raise TypeError(f"{name} must be a real number") - result = float(value) - if not math.isfinite(result) or result < 0.0: - raise ValueError(f"{name} must be finite and non-negative") - return result - - -def _sha256_file(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb") as source: - for chunk in iter(lambda: source.read(1024 * 1024), b""): - digest.update(chunk) - return digest.hexdigest() - - -class ActionKind(str, Enum): - NO_EFFECT = "no_effect" - NONCE_ONLY = "nonce_only" - EXACT_REWRITE = "exact_rewrite" - GEOMETRY = "geometry" - RISK_OR_STRIP_BUDGET = "risk_or_strip_budget" - REPRESENTATION = "representation" - PROMOTION = "promotion" - - -class Dependency(str, Enum): - FIAT_SHAMIR_SEED = "fiat_shamir_seed" - TRUSTED_VERIFICATION = "trusted_verification" - EXECUTED_TOFFOLI_DRAW = "executed_toffoli_draw" - CIRCUIT_FUNCTION_PROOF = "circuit_function_proof" - STRIP_KEYS = "strip_keys" - CAP_OPTIMUM = "cap_optimum" - COST_CALIBRATION = "cost_calibration" - CLEAN_DENSITY = "clean_density" - ABI_CONTRACT = "abi_contract" - SCORER_CONTRACT = "scorer_contract" - PROVED_INVARIANTS = "proved_invariants" - - -class EvidenceKind(str, Enum): - OFFICIAL_PROMOTED = "official_promoted_result" - TRUSTED_FULL = "trusted_9024_exact_artifact_result" - BYTE_IDENTICAL = "byte_identical_operation_stream" - SCOPED_MACHINE_PROOF = "scoped_machine_proof" - PAIRED_FIXED_RANDOMNESS = "paired_fixed_randomness_differential" - EXACT_CENSUS = "exact_stream_census" - INDEPENDENT_SEED_ESTIMATE = "independent_seed_statistical_estimate" - LOW_SHOT_SCREEN = "low_shot_screen" - NARRATIVE = "narrative_claim" - - -class NoncePolicy(str, Enum): - INHERITED = "inherited_fixed_artifact" - FIXED = "fixed_before_verification" - PREREGISTERED_BRANCH = "preregistered_budgeted_branch" - NOT_APPLICABLE = "not_applicable" - - -class PlanStatus(str, Enum): - ACTIVE = "active" - ABORTED = "aborted" - - -_EVIDENCE_STRENGTH = { - EvidenceKind.OFFICIAL_PROMOTED: 1, - EvidenceKind.TRUSTED_FULL: 2, - EvidenceKind.BYTE_IDENTICAL: 3, - EvidenceKind.SCOPED_MACHINE_PROOF: 3, - EvidenceKind.PAIRED_FIXED_RANDOMNESS: 4, - EvidenceKind.EXACT_CENSUS: 4, - EvidenceKind.INDEPENDENT_SEED_ESTIMATE: 5, - EvidenceKind.LOW_SHOT_SCREEN: 6, - EvidenceKind.NARRATIVE: 7, -} - - -def evidence_strength(kind: EvidenceKind) -> int: - """Return the evidence rank; lower is stronger.""" - return _EVIDENCE_STRENGTH[kind] - - -@dataclass(frozen=True, slots=True) -class Frontier: - submission_id: str - source_ref: str - score: int - qubits: int - rounded_toffoli: int - ops_sha256: str - canonical_ops_sha256: str - emitted_ops: int - - def __post_init__(self) -> None: - _require_nonempty("submission_id", self.submission_id) - _require_nonempty("source_ref", self.source_ref) - _require_nonnegative_int("score", self.score) - _require_nonnegative_int("qubits", self.qubits) - _require_nonnegative_int("rounded_toffoli", self.rounded_toffoli) - _require_nonnegative_int("emitted_ops", self.emitted_ops) - object.__setattr__(self, "ops_sha256", _require_sha256("ops_sha256", self.ops_sha256)) - object.__setattr__( - self, - "canonical_ops_sha256", - _require_sha256("canonical_ops_sha256", self.canonical_ops_sha256), - ) - expected = exact_score(float(self.rounded_toffoli), self.qubits) - if self.score != expected: - raise ValueError(f"frontier score {self.score} does not equal exact score {expected}") - - -@dataclass(frozen=True, slots=True) -class Candidate: - candidate_id: str - parent_submission_id: str - source_ref: str - ops_sha256: str | None - canonical_ops_sha256: str | None = None - nonce: int | None = None - nonce_policy: NoncePolicy = NoncePolicy.NOT_APPLICABLE - qubits: int | None = None - emitted_ops: int | None = None - - def __post_init__(self) -> None: - _require_nonempty("candidate_id", self.candidate_id) - _require_nonempty("parent_submission_id", self.parent_submission_id) - _require_nonempty("source_ref", self.source_ref) - object.__setattr__(self, "ops_sha256", _require_sha256("ops_sha256", self.ops_sha256)) - object.__setattr__( - self, - "canonical_ops_sha256", - _require_sha256("canonical_ops_sha256", self.canonical_ops_sha256), - ) - if self.nonce is not None: - _require_nonnegative_int("nonce", self.nonce) - if self.nonce >= 1 << 48: - raise ValueError("nonce must fit the benchmark's 48-bit tail field") - if self.qubits is not None: - _require_nonnegative_int("qubits", self.qubits) - if self.emitted_ops is not None: - _require_nonnegative_int("emitted_ops", self.emitted_ops) - - -@dataclass(frozen=True, slots=True) -class InstrumentSet: - verifier_sha256: str - simulator_sha256: str - scorer_sha256: str - - def __post_init__(self) -> None: - object.__setattr__( - self, "verifier_sha256", _require_sha256("verifier_sha256", self.verifier_sha256) - ) - object.__setattr__( - self, "simulator_sha256", _require_sha256("simulator_sha256", self.simulator_sha256) - ) - object.__setattr__(self, "scorer_sha256", _require_sha256("scorer_sha256", self.scorer_sha256)) - - @classmethod - def from_files(cls, verifier: Path, simulator: Path, scorer: Path) -> InstrumentSet: - return cls( - verifier_sha256=_sha256_file(verifier), - simulator_sha256=_sha256_file(simulator), - scorer_sha256=_sha256_file(scorer), - ) - - @property - def identity_sha256(self) -> str: - digest = hashlib.sha256() - for name, value in ( - ("verifier", self.verifier_sha256), - ("simulator", self.simulator_sha256), - ("scorer", self.scorer_sha256), - ): - digest.update(name.encode("ascii")) - digest.update(b"\0") - digest.update(value.encode("ascii")) - digest.update(b"\0") - return digest.hexdigest() - - -@dataclass(frozen=True, slots=True) -class Calibration: - dependency: Dependency - artifact_ops_sha256: str | None - instrument_sha256: str - evidence_id: str - samples: int = 0 - mean: float | None = None - standard_deviation: float | None = None - - def __post_init__(self) -> None: - object.__setattr__( - self, - "artifact_ops_sha256", - _require_sha256("artifact_ops_sha256", self.artifact_ops_sha256), - ) - object.__setattr__( - self, - "instrument_sha256", - _require_sha256("instrument_sha256", self.instrument_sha256), - ) - _require_nonempty("evidence_id", self.evidence_id) - _require_nonnegative_int("samples", self.samples) - if self.mean is not None: - object.__setattr__(self, "mean", _require_finite_nonnegative("mean", self.mean)) - if self.standard_deviation is not None: - object.__setattr__( - self, - "standard_deviation", - _require_finite_nonnegative("standard_deviation", self.standard_deviation), - ) - if self.dependency in { - Dependency.STRIP_KEYS, - Dependency.CAP_OPTIMUM, - Dependency.COST_CALIBRATION, - Dependency.CLEAN_DENSITY, - } and self.artifact_ops_sha256 is None: - raise ValueError(f"{self.dependency.value} calibration requires an artifact hash") - - -@dataclass(frozen=True, slots=True) -class Prediction: - prediction_id: str - mechanism: str - delta_qubits: int - delta_toffoli_mean: float - delta_toffoli_standard_deviation: float - correctness_risk: str - full_verification_budget: int - expected_invalidations: frozenset[Dependency] - - def __post_init__(self) -> None: - _require_nonempty("prediction_id", self.prediction_id) - _require_nonempty("mechanism", self.mechanism) - if type(self.delta_qubits) is not int: - raise TypeError("delta_qubits must be an int") - if isinstance(self.delta_toffoli_mean, bool) or not isinstance( - self.delta_toffoli_mean, (int, float) - ): - raise TypeError("delta_toffoli_mean must be a real number") - if not math.isfinite(float(self.delta_toffoli_mean)): - raise ValueError("delta_toffoli_mean must be finite") - object.__setattr__( - self, - "delta_toffoli_standard_deviation", - _require_finite_nonnegative( - "delta_toffoli_standard_deviation", self.delta_toffoli_standard_deviation - ), - ) - _require_nonempty("correctness_risk", self.correctness_risk) - _require_nonnegative_int("full_verification_budget", self.full_verification_budget) - invalidations = frozenset(self.expected_invalidations) - if any(not isinstance(dependency, Dependency) for dependency in invalidations): - raise TypeError("expected_invalidations must contain Dependency values") - object.__setattr__(self, "expected_invalidations", invalidations) - - -@dataclass(frozen=True, slots=True) -class Action: - kind: ActionKind - before_ops_sha256: str - after_ops_sha256: str | None - prediction: Prediction - supporting_evidence: frozenset[EvidenceKind] = frozenset() - - def __post_init__(self) -> None: - object.__setattr__( - self, - "before_ops_sha256", - _require_sha256("before_ops_sha256", self.before_ops_sha256), - ) - object.__setattr__( - self, - "after_ops_sha256", - _require_sha256("after_ops_sha256", self.after_ops_sha256), - ) - evidence = frozenset(self.supporting_evidence) - if any(not isinstance(kind, EvidenceKind) for kind in evidence): - raise TypeError("supporting_evidence must contain EvidenceKind values") - object.__setattr__(self, "supporting_evidence", evidence) - - -@dataclass(frozen=True, slots=True) -class ActionImpact: - invalidated: frozenset[Dependency] - preserved: frozenset[Dependency] - conditionally_reusable: frozenset[Dependency] - required_evidence: frozenset[EvidenceKind] - allow_full_verification: bool - - -_ALL_DEPENDENCIES = frozenset(Dependency) - - -def _make_impact( - invalidated: set[Dependency], - *, - conditional: set[Dependency] | None = None, - required_evidence: set[EvidenceKind] | None = None, - allow_full_verification: bool = True, -) -> ActionImpact: - conditional_set = frozenset(conditional or set()) - invalidated_set = frozenset(invalidated) - return ActionImpact( - invalidated=invalidated_set, - preserved=_ALL_DEPENDENCIES - invalidated_set - conditional_set, - conditionally_reusable=conditional_set, - required_evidence=frozenset(required_evidence or set()), - allow_full_verification=allow_full_verification, - ) - - -_BASE_EMPIRICAL_INVALIDATIONS = { - Dependency.FIAT_SHAMIR_SEED, - Dependency.TRUSTED_VERIFICATION, - Dependency.EXECUTED_TOFFOLI_DRAW, -} - -_ACTION_IMPACTS = { - ActionKind.NO_EFFECT: _make_impact(set(), allow_full_verification=False), - ActionKind.NONCE_ONLY: _make_impact(set(_BASE_EMPIRICAL_INVALIDATIONS)), - ActionKind.EXACT_REWRITE: _make_impact( - _BASE_EMPIRICAL_INVALIDATIONS - | { - Dependency.STRIP_KEYS, - Dependency.COST_CALIBRATION, - Dependency.CLEAN_DENSITY, - }, - conditional={Dependency.CIRCUIT_FUNCTION_PROOF}, - required_evidence={EvidenceKind.SCOPED_MACHINE_PROOF}, - ), - ActionKind.GEOMETRY: _make_impact( - _BASE_EMPIRICAL_INVALIDATIONS - | { - Dependency.CIRCUIT_FUNCTION_PROOF, - Dependency.STRIP_KEYS, - Dependency.CAP_OPTIMUM, - Dependency.COST_CALIBRATION, - Dependency.CLEAN_DENSITY, - } - ), - ActionKind.RISK_OR_STRIP_BUDGET: _make_impact( - _BASE_EMPIRICAL_INVALIDATIONS - | { - Dependency.CIRCUIT_FUNCTION_PROOF, - Dependency.STRIP_KEYS, - Dependency.COST_CALIBRATION, - Dependency.CLEAN_DENSITY, - }, - required_evidence={ - EvidenceKind.PAIRED_FIXED_RANDOMNESS, - EvidenceKind.EXACT_CENSUS, - }, - ), - ActionKind.REPRESENTATION: _make_impact( - _ALL_DEPENDENCIES - - { - Dependency.ABI_CONTRACT, - Dependency.SCORER_CONTRACT, - Dependency.PROVED_INVARIANTS, - } - ), - ActionKind.PROMOTION: _make_impact(set(), allow_full_verification=False), -} - - -def action_impact(kind: ActionKind) -> ActionImpact: - """Return the benchmark-specific dependency invalidation contract.""" - return _ACTION_IMPACTS[kind] - - -@dataclass(frozen=True, slots=True) -class EvidenceEvent: - event_id: str - kind: EvidenceKind - observed_at: str - statement: str - source_ref: str | None = None - artifact_ops_sha256: str | None = None - prediction_id: str | None = None - prediction_match: bool | None = None - - def __post_init__(self) -> None: - _require_nonempty("event_id", self.event_id) - _require_nonempty("observed_at", self.observed_at) - _require_nonempty("statement", self.statement) - if self.source_ref is not None: - _require_nonempty("source_ref", self.source_ref) - object.__setattr__( - self, - "artifact_ops_sha256", - _require_sha256("artifact_ops_sha256", self.artifact_ops_sha256), - ) - if self.source_ref is None and self.artifact_ops_sha256 is None: - raise ValueError("evidence must name a source ref or exact artifact hash") - if self.prediction_id is not None: - _require_nonempty("prediction_id", self.prediction_id) - if self.prediction_match is not None and type(self.prediction_match) is not bool: - raise TypeError("prediction_match must be a bool or None") - - def to_mapping(self) -> dict[str, Any]: - return { - "event_id": self.event_id, - "kind": self.kind.value, - "observed_at": self.observed_at, - "statement": self.statement, - "source_ref": self.source_ref, - "artifact_ops_sha256": self.artifact_ops_sha256, - "prediction_id": self.prediction_id, - "prediction_match": self.prediction_match, - } - - @classmethod - def from_mapping(cls, row: Mapping[str, Any]) -> EvidenceEvent: - return cls( - event_id=row["event_id"], - kind=EvidenceKind(row["kind"]), - observed_at=row["observed_at"], - statement=row["statement"], - source_ref=row.get("source_ref"), - artifact_ops_sha256=row.get("artifact_ops_sha256"), - prediction_id=row.get("prediction_id"), - prediction_match=row.get("prediction_match"), - ) - - -@dataclass(frozen=True, slots=True) -class WorldState: - frontier: Frontier - instruments: InstrumentSet - candidate: Candidate | None = None - calibrations: tuple[Calibration, ...] = () - timeline: tuple[EvidenceEvent, ...] = () - invalidated: frozenset[Dependency] = frozenset() - status: PlanStatus = PlanStatus.ACTIVE - abort_reason: str | None = None - - def __post_init__(self) -> None: - invalidated = frozenset(self.invalidated) - if any(not isinstance(dependency, Dependency) for dependency in invalidated): - raise TypeError("invalidated must contain Dependency values") - object.__setattr__(self, "invalidated", invalidated) - event_ids: set[str] = set() - for event in self.timeline: - if event.event_id in event_ids: - raise ValueError(f"duplicate evidence event_id: {event.event_id}") - event_ids.add(event.event_id) - if self.status is PlanStatus.ABORTED and not self.abort_reason: - raise ValueError("an aborted plan requires abort_reason") - - -@dataclass(frozen=True, slots=True) -class GateDecision: - allowed: bool - reasons: tuple[str, ...] - candidate_score: int | None = None - - -def append_evidence(state: WorldState, event: EvidenceEvent) -> WorldState: - """Append one immutable observation and abort on a prediction mismatch.""" - if any(existing.event_id == event.event_id for existing in state.timeline): - raise ValueError(f"duplicate evidence event_id: {event.event_id}") - status = state.status - reason = state.abort_reason - if event.prediction_match is False: - status = PlanStatus.ABORTED - reason = f"prediction mismatch at evidence event {event.event_id}" - return replace( - state, - timeline=state.timeline + (event,), - status=status, - abort_reason=reason, - ) - - -def load_evidence_jsonl(path: Path) -> tuple[EvidenceEvent, ...]: - """Load and validate an append-only evidence timeline.""" - events: list[EvidenceEvent] = [] - event_ids: set[str] = set() - with path.open(encoding="utf-8") as source: - for line_number, line in enumerate(source, start=1): - if not line.strip(): - continue - row = json.loads(line) - event = EvidenceEvent.from_mapping(row) - if event.event_id in event_ids: - raise ValueError(f"duplicate event_id {event.event_id} at line {line_number}") - event_ids.add(event.event_id) - events.append(event) - return tuple(events) - - -def append_evidence_jsonl(path: Path, event: EvidenceEvent) -> None: - """Append one event without rewriting prior reality rows.""" - if path.exists(): - if any(existing.event_id == event.event_id for existing in load_evidence_jsonl(path)): - raise ValueError(f"duplicate evidence event_id: {event.event_id}") - path.parent.mkdir(parents=True, exist_ok=True) - row = json.dumps(event.to_mapping(), sort_keys=True, separators=(",", ":")) - with path.open("a", encoding="utf-8") as destination: - destination.write(row) - destination.write("\n") - destination.flush() - os.fsync(destination.fileno()) - - -def register_calibration(state: WorldState, calibration: Calibration) -> WorldState: - """Replace one active calibration after anchoring it to the current artifact.""" - active_hash = state.candidate.ops_sha256 if state.candidate is not None else state.frontier.ops_sha256 - if calibration.artifact_ops_sha256 is not None and calibration.artifact_ops_sha256 != active_hash: - raise ValueError("calibration artifact does not match the active candidate") - retained = tuple( - existing for existing in state.calibrations if existing.dependency is not calibration.dependency - ) - return replace( - state, - calibrations=retained + (calibration,), - invalidated=state.invalidated - {calibration.dependency}, - ) - - -def full_verification_gate(action: Action) -> GateDecision: - """Decide whether an expensive trusted run is justified, not whether it will pass.""" - impact = action_impact(action.kind) - reasons: list[str] = [] - if not impact.allow_full_verification: - reasons.append(f"action_class_blocks_full_verification:{action.kind.value}") - if action.after_ops_sha256 is None: - reasons.append("missing_after_ops_hash") - elif action.after_ops_sha256 == action.before_ops_sha256: - reasons.append("byte_identical_no_effect") - if action.prediction.expected_invalidations != impact.invalidated: - reasons.append("prediction_invalidation_mismatch") - for missing in sorted( - impact.required_evidence - action.supporting_evidence, - key=lambda kind: kind.value, - ): - reasons.append(f"missing_discriminating_evidence:{missing.value}") - return GateDecision(allowed=not reasons, reasons=tuple(reasons)) - - -def apply_action(state: WorldState, action: Action, candidate: Candidate) -> WorldState: - """Apply one observed candidate transition and invalidate dependent beliefs.""" - active_hash = state.candidate.ops_sha256 if state.candidate is not None else state.frontier.ops_sha256 - if action.before_ops_sha256 != active_hash: - return replace( - state, - status=PlanStatus.ABORTED, - abort_reason="action parent hash does not match active artifact", - ) - if action.after_ops_sha256 is None or candidate.ops_sha256 != action.after_ops_sha256: - return replace( - state, - status=PlanStatus.ABORTED, - abort_reason="candidate hash does not match the observed action result", - ) - if action.after_ops_sha256 == action.before_ops_sha256: - return replace( - state, - status=PlanStatus.ABORTED, - abort_reason="byte-identical operation stream; deny expensive verification", - ) - impact = action_impact(action.kind) - if action.prediction.expected_invalidations != impact.invalidated: - return replace( - state, - status=PlanStatus.ABORTED, - abort_reason="observed action invalidations differ from preregistered prediction", - ) - retained_calibrations = tuple( - calibration - for calibration in state.calibrations - if calibration.dependency not in impact.invalidated - ) - return replace( - state, - candidate=candidate, - calibrations=retained_calibrations, - invalidated=state.invalidated | impact.invalidated, - status=PlanStatus.ACTIVE, - abort_reason=None, - ) - - -@dataclass(frozen=True, slots=True) -class Verification: - evidence_kind: EvidenceKind - ops_sha256: str | None - shots: int - qubits: int | None - total_toffoli: int | None - average_toffoli: float | None - classical_failures: int - phase_garbage_batches: int - ancilla_garbage_batches: int - - def __post_init__(self) -> None: - object.__setattr__(self, "ops_sha256", _require_sha256("ops_sha256", self.ops_sha256)) - _require_nonnegative_int("shots", self.shots) - if self.qubits is not None: - _require_nonnegative_int("qubits", self.qubits) - if self.total_toffoli is not None: - _require_nonnegative_int("total_toffoli", self.total_toffoli) - if self.average_toffoli is not None: - object.__setattr__( - self, - "average_toffoli", - _require_finite_nonnegative("average_toffoli", self.average_toffoli), - ) - _require_nonnegative_int("classical_failures", self.classical_failures) - _require_nonnegative_int("phase_garbage_batches", self.phase_garbage_batches) - _require_nonnegative_int("ancilla_garbage_batches", self.ancilla_garbage_batches) - if ( - self.total_toffoli is not None - and self.average_toffoli is not None - and self.shots > 0 - and self.qubits is not None - ): - from_total = score_from_totals(self.total_toffoli, self.shots, self.qubits) - from_average = exact_score(self.average_toffoli, self.qubits) - if from_total != from_average: - raise ValueError("total and average Toffoli imply different benchmark scores") - - @property - def has_zero_failures(self) -> bool: - return ( - self.classical_failures == 0 - and self.phase_garbage_batches == 0 - and self.ancilla_garbage_batches == 0 - ) - - @property - def candidate_score(self) -> int | None: - if self.qubits is None: - return None - if self.total_toffoli is not None and self.shots > 0: - return score_from_totals(self.total_toffoli, self.shots, self.qubits) - if self.average_toffoli is not None: - return exact_score(self.average_toffoli, self.qubits) - return None - - -def promotion_gate( - candidate: Candidate, - verification: Verification, - refreshed_frontier: Frontier, -) -> GateDecision: - """Require an exact passing artifact, a fresh parent, and a strict score beat.""" - reasons: list[str] = [] - if candidate.parent_submission_id != refreshed_frontier.submission_id: - reasons.append("stale_frontier_parent") - if candidate.ops_sha256 is None: - reasons.append("missing_candidate_ops_hash") - if verification.ops_sha256 is None: - reasons.append("missing_verification_ops_hash") - elif candidate.ops_sha256 is not None and verification.ops_sha256 != candidate.ops_sha256: - reasons.append("verification_artifact_mismatch") - if candidate.ops_sha256 == refreshed_frontier.ops_sha256: - reasons.append("current_frontier_is_characterization_only") - if verification.evidence_kind not in { - EvidenceKind.OFFICIAL_PROMOTED, - EvidenceKind.TRUSTED_FULL, - }: - reasons.append("verification_not_trusted_full_result") - if verification.shots != FULL_VERIFICATION_SHOTS: - reasons.append("verification_not_9024_shots") - if not verification.has_zero_failures: - reasons.append("trusted_correctness_failure") - if candidate.qubits is not None and verification.qubits != candidate.qubits: - reasons.append("verification_qubit_mismatch") - candidate_score = verification.candidate_score - if candidate_score is None: - reasons.append("missing_candidate_score") - elif candidate_score >= refreshed_frontier.score: - reasons.append("score_does_not_strictly_improve_frontier") - return GateDecision( - allowed=not reasons, - reasons=tuple(reasons), - candidate_score=candidate_score, - ) - - -@dataclass(frozen=True, slots=True) -class HistoryAnchor: - submission_id: str - source_ref: str - score: int - created_at: str - - def to_mapping(self) -> dict[str, Any]: - return { - "submission_id": self.submission_id, - "source_ref": self.source_ref, - "score": self.score, - "created_at": self.created_at, - } - - -@dataclass(frozen=True, slots=True) -class HistoryFailure: - source_index: int - submission_id: str - reason: str - - def to_mapping(self) -> dict[str, Any]: - return { - "source_index": self.source_index, - "submission_id": self.submission_id, - "reason": self.reason, - } - - -@dataclass(frozen=True, slots=True) -class HistoryReport: - promoted_rows_checked: int - first: HistoryAnchor | None - last: HistoryAnchor | None - failures: tuple[HistoryFailure, ...] - - @property - def verdict(self) -> str: - return "green" if not self.failures else "red" - - def to_mapping(self) -> dict[str, Any]: - return { - "model": "official promoted frontier replay", - "verdict": self.verdict, - "promoted_rows_checked": self.promoted_rows_checked, - "first": self.first.to_mapping() if self.first is not None else None, - "last": self.last.to_mapping() if self.last is not None else None, - "failures": [failure.to_mapping() for failure in self.failures], - } - - -def backtest_promoted_history( - payload: Mapping[str, Any] | Sequence[Mapping[str, Any]], - *, - expected_count: int | None = None, - expected_frontier: Frontier | None = None, -) -> HistoryReport: - """Replay promoted API rows in source order through the exact scorer.""" - if isinstance(payload, Mapping): - rows = payload.get("submissions") - else: - rows = payload - if not isinstance(rows, Sequence) or isinstance(rows, (str, bytes, bytearray)): - raise TypeError("submission payload must be a sequence or contain a submissions sequence") - - failures: list[HistoryFailure] = [] - checked = 0 - first: HistoryAnchor | None = None - last: HistoryAnchor | None = None - previous_score: int | None = None - previous_created_at: str | None = None - - for source_index, row in enumerate(rows): - if not isinstance(row, Mapping): - failures.append(HistoryFailure(source_index, "", "row_is_not_a_mapping")) - continue - if row.get("promotionStatus") != "promoted": - continue - checked += 1 - submission_id = str(row.get("id") or "") - try: - if row.get("status") != "accepted": - raise ValueError("promoted_row_status_is_not_accepted") - if row.get("improved") is not True: - raise ValueError("promoted_row_not_marked_improved") - source_ref = _require_nonempty("promotedSourceRef", row.get("promotedSourceRef")) - created_at = _require_nonempty("createdAt", row.get("createdAt")) - official_score = row.get("officialScore") - _require_nonnegative_int("officialScore", official_score) - metrics = row.get("officialMetrics") - if not isinstance(metrics, Mapping): - raise ValueError("officialMetrics_missing") - qubits = metrics.get("qubits") - rounded_toffoli = metrics.get("toffoli") - _require_nonnegative_int("officialMetrics.qubits", qubits) - _require_nonnegative_int("officialMetrics.toffoli", rounded_toffoli) - replayed_score = exact_score(float(rounded_toffoli), qubits) - if replayed_score != official_score: - raise ValueError( - f"score_mismatch:official={official_score}:replayed={replayed_score}" - ) - if previous_score is not None and official_score >= previous_score: - raise ValueError( - f"frontier_not_strictly_decreasing:previous={previous_score}:current={official_score}" - ) - if previous_created_at is not None and created_at <= previous_created_at: - raise ValueError( - f"timeline_not_strictly_increasing:previous={previous_created_at}:current={created_at}" - ) - anchor = HistoryAnchor( - submission_id=submission_id, - source_ref=source_ref, - score=official_score, - created_at=created_at, - ) - if first is None: - first = anchor - last = anchor - previous_score = official_score - previous_created_at = created_at - except (TypeError, ValueError) as error: - failures.append(HistoryFailure(source_index, submission_id, str(error))) - - if expected_count is not None: - _require_nonnegative_int("expected_count", expected_count) - if checked != expected_count: - failures.append( - HistoryFailure( - -1, - "", - f"promoted_count_mismatch:expected={expected_count}:actual={checked}", - ) - ) - if expected_frontier is not None: - if last is None: - failures.append(HistoryFailure(-1, "", "missing_promoted_frontier")) - else: - if last.submission_id != expected_frontier.submission_id: - failures.append( - HistoryFailure( - -1, - last.submission_id, - "latest_submission_does_not_match_expected_frontier", - ) - ) - if last.source_ref != expected_frontier.source_ref: - failures.append( - HistoryFailure( - -1, - last.submission_id, - "latest_source_does_not_match_expected_frontier", - ) - ) - if last.score != expected_frontier.score: - failures.append( - HistoryFailure( - -1, - last.submission_id, - "latest_score_does_not_match_expected_frontier", - ) - ) - return HistoryReport( - promoted_rows_checked=checked, - first=first, - last=last, - failures=tuple(failures), - ) - - -CURRENT_FRONTIER = Frontier( - submission_id="0c5b1b7b-561a-48a0-abc6-5fefaffdc0ad", - source_ref="cf5aa02147d4e1a698bbf84c10d33920d4356489", - score=1_490_805_286, - qubits=1_154, - rounded_toffoli=1_291_859, - ops_sha256="7333b19de3f3171a70d1b5132e867b7fb28cd5d77b34668175b391c420eed8c9", - canonical_ops_sha256="ec90afeadf8d294819e1e2128764c9da8d0742730c09d4ac1ae19d3b1a99dfba", - emitted_ops=9_062_420, -) - -CURRENT_FRONTIER_VERIFICATION = Verification( - evidence_kind=EvidenceKind.OFFICIAL_PROMOTED, - ops_sha256=CURRENT_FRONTIER.ops_sha256, - shots=FULL_VERIFICATION_SHOTS, - qubits=CURRENT_FRONTIER.qubits, - total_toffoli=11_657_738_337, - average_toffoli=1_291_859.302, - classical_failures=0, - phase_garbage_batches=0, - ancilla_garbage_batches=0, -) - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument( - "--backtest-submissions", - type=Path, - required=True, - metavar="SUBMISSIONS_JSON", - help="JSON export containing the public submissions array", - ) - parser.add_argument("--expected-promoted", type=int) - parser.add_argument( - "--require-current-frontier", - action="store_true", - help="require the replay's last row to match the pinned frontier", - ) - args = parser.parse_args() - with args.backtest_submissions.open(encoding="utf-8") as source: - payload = json.load(source) - report = backtest_promoted_history( - payload, - expected_count=args.expected_promoted, - expected_frontier=CURRENT_FRONTIER if args.require_current_frontier else None, - ) - print(json.dumps(report.to_mapping(), sort_keys=True)) - return 0 if report.verdict == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y1_composite_synth.py b/src/point_add/memory/repro/y1_composite_synth.py deleted file mode 100755 index f0db0daf..00000000 --- a/src/point_add/memory/repro/y1_composite_synth.py +++ /dev/null @@ -1,537 +0,0 @@ -#!/usr/bin/env python3 -"""Exact small-width XOR-AND synthesis for the restricted GCD cswap/subtract map.""" - -from __future__ import annotations - -import argparse -import concurrent.futures -import hashlib -import json -import os -import shutil -import subprocess -import time -from dataclasses import dataclass -from pathlib import Path -from typing import Any - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y1-composite-synth-v1" -INPUT_NAMES = ("u0", "u1", "u2", "v0", "v1", "v2", "t", "s") -OUTPUT_NAMES = INPUT_NAMES -REFERENCE_AND_COUNT = 5 - - -def canonical_json(value: Any) -> bytes: - return json.dumps(value, sort_keys=True, separators=(",", ":")).encode() - - -def sha256_file(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb") as source: - while chunk := source.read(1024 * 1024): - digest.update(chunk) - return digest.hexdigest() - - -def samples() -> list[dict[str, Any]]: - rows: list[dict[str, Any]] = [] - for u in range(8): - if u & 1 == 0: - continue - for v_high in range(4): - for t in range(2): - v = (v_high << 1) | t - for s in range(t + 1): - swapped_u, swapped_v = (v, u) if s else (u, v) - result_v = (swapped_v - swapped_u) & 7 if t else swapped_v - inputs = tuple( - [(u >> bit) & 1 for bit in range(3)] - + [(v >> bit) & 1 for bit in range(3)] - + [t, s] - ) - outputs = tuple( - [(swapped_u >> bit) & 1 for bit in range(3)] - + [(result_v >> bit) & 1 for bit in range(3)] - + [t, s] - ) - rows.append( - { - "u": u, - "v": v, - "t": t, - "s": s, - "inputs": inputs, - "outputs": outputs, - } - ) - return rows - - -class Cnf: - def __init__(self) -> None: - self.nvars = 0 - self.clauses: list[list[int]] = [] - - def variable(self) -> int: - self.nvars += 1 - return self.nvars - - def clause(self, *literals: int) -> None: - self.clauses.append(list(literals)) - - def equivalence_and(self, output: int, left: int, right: int) -> None: - self.clause(-left, -right, output) - self.clause(left, -output) - self.clause(right, -output) - - def equivalence_xor(self, output: int, left: int, right: int) -> None: - self.clause(-left, -right, -output) - self.clause(-left, right, output) - self.clause(left, -right, output) - self.clause(left, right, -output) - - def constrain_xor(self, terms: list[int], expected: int) -> None: - if not terms: - if expected: - self.clauses.append([]) - return - if len(terms) == 1: - self.clause(terms[0] if expected else -terms[0]) - return - accumulator = terms[0] - for term in terms[1:]: - output = self.variable() - self.equivalence_xor(output, accumulator, term) - accumulator = output - self.clause(accumulator if expected else -accumulator) - - def write(self, path: Path, comments: list[str]) -> None: - with path.open("w", encoding="ascii") as destination: - for comment in comments: - destination.write(f"c {comment}\n") - destination.write(f"p cnf {self.nvars} {len(self.clauses)}\n") - for clause in self.clauses: - destination.write(" ".join(str(value) for value in clause)) - destination.write(" 0\n") - - -@dataclass -class ProgramVariables: - gate_coefficients: list[tuple[list[int], list[int]]] - output_coefficients: list[list[int]] - - -def selected_signal_term( - cnf: Cnf, - coefficient: int, - signal: int, - dynamic: bool, -) -> int | None: - if not dynamic: - return coefficient if signal else None - product = cnf.variable() - cnf.equivalence_and(product, coefficient, signal) - return product - - -def affine_terms_for_sample( - cnf: Cnf, - coefficients: list[int], - primary_values: tuple[int, ...], - prior_gate_values: list[int], -) -> list[int]: - basis_values = (1,) + primary_values - terms: list[int] = [] - for coefficient, value in zip(coefficients[: len(basis_values)], basis_values): - term = selected_signal_term(cnf, coefficient, value, dynamic=False) - if term is not None: - terms.append(term) - for coefficient, value in zip(coefficients[len(basis_values) :], prior_gate_values): - term = selected_signal_term(cnf, coefficient, value, dynamic=True) - if term is not None: - terms.append(term) - return terms - - -def build_problem(and_gates: int) -> tuple[Cnf, ProgramVariables, list[dict[str, Any]]]: - domain = samples() - cnf = Cnf() - affine_basis = 1 + len(INPUT_NAMES) - gate_coefficients: list[tuple[list[int], list[int]]] = [] - gate_values: list[list[int]] = [] - - for gate_index in range(and_gates): - width = affine_basis + gate_index - left_coefficients = [cnf.variable() for _ in range(width)] - right_coefficients = [cnf.variable() for _ in range(width)] - gate_coefficients.append((left_coefficients, right_coefficients)) - values_for_gate: list[int] = [] - for sample_index, row in enumerate(domain): - prior = [gate_values[index][sample_index] for index in range(gate_index)] - left_value = cnf.variable() - right_value = cnf.variable() - cnf.constrain_xor( - affine_terms_for_sample( - cnf, left_coefficients, row["inputs"], prior - ) - + [left_value], - 0, - ) - cnf.constrain_xor( - affine_terms_for_sample( - cnf, right_coefficients, row["inputs"], prior - ) - + [right_value], - 0, - ) - gate_value = cnf.variable() - cnf.equivalence_and(gate_value, left_value, right_value) - values_for_gate.append(gate_value) - gate_values.append(values_for_gate) - - output_coefficients: list[list[int]] = [] - for output_index in range(len(OUTPUT_NAMES)): - coefficients = [cnf.variable() for _ in range(affine_basis + and_gates)] - output_coefficients.append(coefficients) - for sample_index, row in enumerate(domain): - prior = [gate_values[index][sample_index] for index in range(and_gates)] - cnf.constrain_xor( - affine_terms_for_sample(cnf, coefficients, row["inputs"], prior), - row["outputs"][output_index], - ) - - return cnf, ProgramVariables(gate_coefficients, output_coefficients), domain - - -def coefficient_bits(variable_ids: list[int], true_variables: set[int]) -> list[int]: - return [int(variable in true_variables) for variable in variable_ids] - - -def evaluate_affine(coefficients: list[int], signals: list[int]) -> int: - value = 0 - for coefficient, signal in zip(coefficients, signals): - value ^= coefficient & signal - return value - - -def decode_program( - variables: ProgramVariables, true_variables: set[int] -) -> dict[str, Any]: - gates = [ - { - "left": coefficient_bits(left, true_variables), - "right": coefficient_bits(right, true_variables), - } - for left, right in variables.gate_coefficients - ] - outputs = [ - coefficient_bits(coefficients, true_variables) - for coefficients in variables.output_coefficients - ] - return {"basis": ["1", *INPUT_NAMES], "gates": gates, "outputs": outputs} - - -def verify_program(program: dict[str, Any], domain: list[dict[str, Any]]) -> dict[str, Any]: - failures: list[dict[str, Any]] = [] - for sample_index, row in enumerate(domain): - signals = [1, *row["inputs"]] - for gate in program["gates"]: - left = evaluate_affine(gate["left"], signals) - right = evaluate_affine(gate["right"], signals) - signals.append(left & right) - observed = tuple( - evaluate_affine(coefficients, signals) - for coefficients in program["outputs"] - ) - if observed != row["outputs"]: - failures.append( - { - "sample_index": sample_index, - "inputs": row["inputs"], - "expected": row["outputs"], - "observed": observed, - } - ) - return { - "samples": len(domain), - "failures": failures, - "verdict": "green" if not failures else "red", - } - - -def solver_version(binary: str) -> str: - process = subprocess.run( - [binary, "--version"], - stdout=subprocess.PIPE, - stderr=subprocess.STDOUT, - text=True, - timeout=10, - ) - return process.stdout.strip().splitlines()[0] if process.stdout.strip() else "unknown" - - -def parse_solver_output(text: str) -> tuple[str, set[int]]: - status = "unknown" - assignment: set[int] = set() - for line in text.splitlines(): - stripped = line.strip() - if stripped in {"s SATISFIABLE", "SATISFIABLE", "SAT"}: - status = "sat" - elif stripped in {"s UNSATISFIABLE", "UNSATISFIABLE", "UNSAT"}: - status = "unsat" - if stripped.startswith("v "): - for token in stripped[2:].split(): - value = int(token) - if value > 0: - assignment.add(value) - return status, assignment - - -def run_solver( - solver_name: str, - binary: str, - and_gates: int, - cnf_path: Path, - log_path: Path, - timeout_seconds: int, - resume: bool, -) -> dict[str, Any]: - if resume and log_path.is_file(): - cached_output = log_path.read_text(encoding="utf-8") - cached_status, cached_assignment = parse_solver_output(cached_output) - if cached_status in {"sat", "unsat"}: - cached_returncode = 10 if cached_status == "sat" else 20 - return { - "solver": solver_name, - "binary": binary, - "and_gates": and_gates, - "status": cached_status, - "returncode": cached_returncode, - "returncode_expected": True, - "elapsed_seconds": None, - "cached": True, - "log_path": str(log_path.relative_to(REPO_ROOT)), - "log_sha256": sha256_file(log_path), - "true_variables": sorted(cached_assignment), - } - - started = time.monotonic() - try: - process = subprocess.run( - [binary, str(cnf_path)], - stdout=subprocess.PIPE, - stderr=subprocess.STDOUT, - text=True, - timeout=timeout_seconds, - ) - output = process.stdout - returncode: int | None = process.returncode - timed_out = False - except subprocess.TimeoutExpired as error: - partial = error.stdout or "" - if isinstance(partial, bytes): - partial = partial.decode(errors="replace") - output = partial - returncode = None - timed_out = True - elapsed = time.monotonic() - started - log_path.write_text(output, encoding="utf-8") - status, assignment = parse_solver_output(output) - if timed_out: - status = "timeout" - expected_returncode = 10 if status == "sat" else 20 if status == "unsat" else None - return { - "solver": solver_name, - "binary": binary, - "and_gates": and_gates, - "status": status, - "returncode": returncode, - "returncode_expected": returncode == expected_returncode and expected_returncode is not None, - "elapsed_seconds": elapsed, - "cached": False, - "log_path": str(log_path.relative_to(REPO_ROOT)), - "log_sha256": sha256_file(log_path), - "true_variables": sorted(assignment), - } - - -def run(args: argparse.Namespace) -> dict[str, Any]: - started_unix_ns = time.time_ns() - started = time.monotonic() - output = args.output.resolve() - output.mkdir(parents=True, exist_ok=True) - cnf_dir = output / "cnf" - log_dir = output / "logs" - witness_dir = output / "witnesses" - cnf_dir.mkdir(exist_ok=True) - log_dir.mkdir(exist_ok=True) - witness_dir.mkdir(exist_ok=True) - - solvers: dict[str, str] = {} - for name in ("kissat", "cadical"): - binary = shutil.which(name) - if binary is None: - raise RuntimeError(f"required solver not found: {name}") - solvers[name] = binary - - problems: dict[int, tuple[Cnf, ProgramVariables, list[dict[str, Any]]]] = {} - cnf_metadata: list[dict[str, Any]] = [] - for and_gates in range(args.max_gates + 1): - problem = build_problem(and_gates) - problems[and_gates] = problem - cnf, _, domain = problem - path = cnf_dir / f"restricted-composite-k{and_gates}.cnf" - cnf.write( - path, - [ - "restricted n=3 GCD cswap then controlled-subtract XOR-AND synthesis", - f"and_gates={and_gates}", - f"samples={len(domain)}", - "domain: u odd; v0=t; s implies t", - ], - ) - cnf_metadata.append( - { - "and_gates": and_gates, - "path": str(path.relative_to(REPO_ROOT)), - "sha256": sha256_file(path), - "variables": cnf.nvars, - "clauses": len(cnf.clauses), - } - ) - - work: list[tuple[str, str, int, Path, Path, int, bool]] = [] - for and_gates in range(args.max_gates + 1): - cnf_path = cnf_dir / f"restricted-composite-k{and_gates}.cnf" - for solver_name, binary in solvers.items(): - work.append( - ( - solver_name, - binary, - and_gates, - cnf_path, - log_dir / f"{solver_name}-k{and_gates}.log", - args.timeout_seconds, - args.resume, - ) - ) - with concurrent.futures.ThreadPoolExecutor(max_workers=len(solvers)) as executor: - solver_runs = list(executor.map(lambda item: run_solver(*item), work)) - - errors: list[str] = [] - public_runs: list[dict[str, Any]] = [] - by_solver: dict[str, dict[int, str]] = {name: {} for name in solvers} - for solver_run in solver_runs: - assignment = set(solver_run.pop("true_variables")) - and_gates = solver_run["and_gates"] - solver_name = solver_run["solver"] - by_solver[solver_name][and_gates] = solver_run["status"] - verification: dict[str, Any] | None = None - witness_path: str | None = None - witness_sha256: str | None = None - if solver_run["status"] == "sat": - _, variables, domain = problems[and_gates] - program = decode_program(variables, assignment) - verification = verify_program(program, domain) - witness = { - "schema_version": 1, - "solver": solver_name, - "and_gates": and_gates, - "program": program, - "verification": verification, - } - path = witness_dir / f"{solver_name}-k{and_gates}.json" - path.write_text(json.dumps(witness, sort_keys=True, indent=2) + "\n") - witness_path = str(path.relative_to(REPO_ROOT)) - witness_sha256 = sha256_file(path) - if verification["verdict"] != "green": - errors.append(f"{solver_name} k={and_gates}: SAT model failed semantic replay") - if solver_run["status"] not in {"sat", "unsat"}: - errors.append(f"{solver_name} k={and_gates}: unknown solver status") - if not solver_run["returncode_expected"]: - errors.append(f"{solver_name} k={and_gates}: unexpected solver return code") - public_runs.append( - { - **solver_run, - "verification": verification, - "witness_path": witness_path, - "witness_sha256": witness_sha256, - } - ) - - for and_gates in range(args.max_gates + 1): - statuses = {by_solver[name].get(and_gates) for name in solvers} - if len(statuses) != 1: - errors.append(f"solver disagreement at k={and_gates}: {sorted(statuses)}") - minimal_by_solver: dict[str, int | None] = {} - for solver_name, statuses in by_solver.items(): - sat_counts = [count for count, status in statuses.items() if status == "sat"] - minimal = min(sat_counts) if sat_counts else None - minimal_by_solver[solver_name] = minimal - if statuses.get(args.max_gates) != "sat": - errors.append(f"{solver_name}: reference upper-bound k={args.max_gates} is not SAT") - if minimal is not None: - for count in range(minimal): - if statuses.get(count) != "unsat": - errors.append(f"{solver_name}: non-monotone status below minimal k={minimal}") - for count in range(minimal, args.max_gates + 1): - if statuses.get(count) != "sat": - errors.append(f"{solver_name}: non-monotone status above minimal k={minimal}") - minima = set(minimal_by_solver.values()) - if len(minima) != 1: - errors.append(f"solvers disagree on minimum: {minimal_by_solver}") - minimum = next(iter(minima)) if len(minima) == 1 else None - - report: dict[str, Any] = { - "schema_version": 1, - "scope": "Y1 restricted n=3 cswap plus controlled-subtract multiplicative complexity", - "prediction_id": args.prediction_id, - "domain": { - "width": 3, - "inputs": list(INPUT_NAMES), - "outputs": list(OUTPUT_NAMES), - "constraints": ["u is odd", "v0 equals t", "s implies t"], - "samples": len(samples()), - }, - "reference_and_count": REFERENCE_AND_COUNT, - "max_gates": args.max_gates, - "solver_versions": {name: solver_version(binary) for name, binary in solvers.items()}, - "cnfs": cnf_metadata, - "solver_runs": sorted(public_runs, key=lambda row: (row["and_gates"], row["solver"])), - "minimal_and_count_by_solver": minimal_by_solver, - "minimal_and_count": minimum, - "candidate_found": minimum is not None and minimum < REFERENCE_AND_COUNT, - "predicted_repeated_call_saving": ( - REFERENCE_AND_COUNT - minimum if minimum is not None else None - ), - "errors": errors, - "started_unix_ns": started_unix_ns, - "recorded_unix_ns": time.time_ns(), - "wall_seconds": time.monotonic() - started, - "verdict": "green" if not errors else "red", - } - report["report_sha256"] = hashlib.sha256(canonical_json(report)).hexdigest() - report_path = output / "report.json" - report_path.write_text(json.dumps(report, sort_keys=True, indent=2) + "\n") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--max-gates", type=int, default=REFERENCE_AND_COUNT) - parser.add_argument("--timeout-seconds", type=int, default=600) - parser.add_argument("--prediction-id", default="PRED-Y1-COMPOSITE-N3-V1") - parser.add_argument("--resume", action="store_true") - args = parser.parse_args() - if args.max_gates < REFERENCE_AND_COUNT: - parser.error(f"--max-gates must be at least {REFERENCE_AND_COUNT}") - report = run(args) - print(json.dumps(report, sort_keys=True, indent=2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y3_global_codec.py b/src/point_add/memory/repro/y3_global_codec.py deleted file mode 100755 index b4f6d8d2..00000000 --- a/src/point_add/memory/repro/y3_global_codec.py +++ /dev/null @@ -1,310 +0,0 @@ -#!/usr/bin/env python3 -"""Measure whole-dialog rank bounds and the implemented terminal-suffix codec. - -The production walk is deterministic on an input field element. Therefore a -complete dialog uniquely identifies that input when the initial modulus is -fixed, giving an exact 256-bit whole-dialog rank bound. The executable probe -also enumerates the terminal reverse tree at every tractable depth and measures -the existing 32-word tail codec on a deterministic uniform field sample. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -import math -import random -import re -import time -from pathlib import Path -from typing import Any - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -GCD_SOURCE = REPO_ROOT / "src/point_add/trailmix_ludicrous/gcd.rs" -CODEC_SOURCE = REPO_ROOT / "src/point_add/trailmix_ludicrous/codec.rs" -SCHEDULE_SOURCE = REPO_ROOT / "src/point_add/trailmix_ludicrous/schedule.rs" -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y3-global-codec-v1/report.json" -FIELD_MODULUS = (1 << 256) - (1 << 32) - 977 -FIXED_SEED = 0x5933C0DEC -FULL_VERIFIER_WALKS = 2 * 9_024 - - -def sha256_file(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb") as source: - while chunk := source.read(1 << 20): - digest.update(chunk) - return digest.hexdigest() - - -def parse_schedule() -> tuple[int, list[int]]: - source = SCHEDULE_SOURCE.read_text(encoding="utf-8") - iters_match = re.search(r"pub const ITERS: usize = (\d+);", source) - schedule_match = re.search(r"SCHED_J2:.*?= &\[(.*?)\];", source, re.DOTALL) - if iters_match is None or schedule_match is None: - raise ValueError("could not parse production GCD schedule") - iters = int(iters_match.group(1)) - schedule = [int(value) for value in schedule_match.group(1).split(",") if value.strip()] - if len(schedule) != iters: - raise ValueError(f"ITERS={iters}, but SCHED_J2 has {len(schedule)} entries") - return iters, schedule - - -def parse_tail4_decoder() -> tuple[int, list[int], list[list[int]]]: - source = CODEC_SOURCE.read_text(encoding="utf-8") - bits_match = re.search(r"TAIL4_TOP32_CODE_BITS: usize = (\d+);", source) - decoder_match = re.search( - r"TAIL4_TOP32_DECODER_ANF: \[&\[u16\]; 12\] = \[(.*?)\n\];", - source, - re.DOTALL, - ) - reorder_match = re.search( - r"fn tail4_reordered_raw\(.*?\{.*?\[\s*(.*?)\s*\]\s*\}", - source, - re.DOTALL, - ) - if bits_match is None or decoder_match is None or reorder_match is None: - raise ValueError("could not parse the implemented tail4 decoder") - terms = [ - [int(value) for value in body.split(",") if value.strip()] - for body in re.findall(r"&\[(.*?)\]", decoder_match.group(1), re.DOTALL) - ] - reorder = [int(value) for value in re.findall(r"raw\[(\d+)\]", reorder_match.group(1))] - if len(terms) != 12 or len(reorder) != 12 or sorted(reorder) != list(range(12)): - raise ValueError("tail4 decoder shape changed") - return int(bits_match.group(1)), reorder, terms - - -def decode_tail4_support() -> set[tuple[tuple[int, int, int], ...]]: - code_bits, reorder, decoder_terms = parse_tail4_decoder() - support: set[tuple[tuple[int, int, int], ...]] = set() - for code in range(1 << code_bits): - reordered_raw = [] - for terms in decoder_terms: - value = 0 - for mask in terms: - if code & mask == mask: - value ^= 1 - reordered_raw.append(value) - raw = [0] * 12 - for wire_index, raw_index in enumerate(reorder): - raw[raw_index] = reordered_raw[wire_index] - support.add(tuple(tuple(raw[index : index + 3]) for index in range(0, 12, 3))) - if len(support) != 1 << code_bits: - raise ValueError("tail4 decoder is not injective on code words") - return support - - -def current_tape_bits(iters: int, tail4: bool) -> int: - tail_symbols = 5 if tail4 and iters >= 6 else 0 - codec_symbols = iters - 1 - tail_symbols - triples = iters // 3 - while 3 * triples > codec_symbols: - triples -= 1 - remainder = codec_symbols - 3 * triples - bits = 2 + 7 * triples - if remainder == 3 and triples > 0: - bits += 7 - else: - bits += 5 * (remainder // 2) + 3 * (remainder % 2) - if tail_symbols: - bits += 8 - return bits - - -def run_walk(value: int, schedule: list[int]) -> tuple[list[tuple[int, int, int]], str]: - u = FIELD_MODULUS - v = value - dialog: list[tuple[int, int, int]] = [] - for index, width in enumerate(schedule): - if u.bit_length() > width or v.bit_length() > width: - return dialog, "schedule-overflow" - if index == 0: - first_shift = int(v & 1 == 0) - if first_shift: - v >>= 1 - else: - v >>= 1 - second_shift = int(v & 1 == 0) - if second_shift: - v >>= 1 - subtract = v & 1 - swap = 0 - if subtract: - swap = int(index == 0 or v < u) - if swap: - u, v = v, u - v -= u - dialog.append((subtract, swap, second_shift)) - return dialog, "terminal" if (u, v) == (1, 0) else "nonterminal" - - -def reverse_predecessors( - state: tuple[int, int], width: int -) -> list[tuple[tuple[int, int], tuple[int, int, int]]]: - u, v = state - limit = 1 << width - candidates = [ - ((u, 4 * v), (0, 0, 1)), - ((u, 2 * (u + v)), (1, 0, 0)), - ((u, 4 * (u + v)), (1, 0, 1)), - ] - if v > 0: - candidates.extend( - [ - ((u + v, 2 * u), (1, 1, 0)), - ((u + v, 4 * u), (1, 1, 1)), - ] - ) - return [(prior, symbol) for prior, symbol in candidates if max(prior) < limit] - - -def enumerate_terminal_tree(schedule: list[int], state_cap: int) -> list[dict[str, Any]]: - states = {(1, 0)} - rows = [] - for depth, index in enumerate(range(len(schedule) - 1, 0, -1), start=1): - next_states = { - prior - for state in states - for prior, _ in reverse_predecessors(state, schedule[index]) - } - unrestricted = (pow(5, depth) + 1) // 2 - rows.append( - { - "depth": depth, - "start_iteration": index, - "width": schedule[index], - "reachable_states": len(next_states), - "unrestricted_states": unrestricted, - "rank_bits": max(1, (len(next_states) - 1).bit_length()), - } - ) - states = next_states - if len(states) > state_cap: - break - return rows - - -def wilson_interval(successes: int, trials: int) -> tuple[float, float]: - if trials == 0: - return 0.0, 1.0 - z = 1.959963984540054 - probability = successes / trials - denominator = 1 + z * z / trials - centre = (probability + z * z / (2 * trials)) / denominator - radius = z * math.sqrt(probability * (1 - probability) / trials + z * z / (4 * trials * trials)) / denominator - return max(0.0, centre - radius), min(1.0, centre + radius) - - -def run(args: argparse.Namespace) -> dict[str, Any]: - started = time.monotonic() - iters, schedule = parse_schedule() - tail4_support = decode_tail4_support() - rng = random.Random(args.seed) - suffix_counts: dict[int, dict[tuple[tuple[int, int, int], ...], int]] = { - depth: {} for depth in range(1, args.max_suffix + 1) - } - outcomes = {"terminal": 0, "schedule-overflow": 0, "nonterminal": 0} - tail4_misses = 0 - for _ in range(args.samples): - dialog, outcome = run_walk(rng.randrange(1, FIELD_MODULUS), schedule) - outcomes[outcome] += 1 - if outcome != "terminal": - continue - for depth, counts in suffix_counts.items(): - suffix = tuple(dialog[-depth:]) - counts[suffix] = counts.get(suffix, 0) + 1 - if tuple(dialog[-4:]) not in tail4_support: - tail4_misses += 1 - - terminal_samples = outcomes["terminal"] - miss_lo, miss_hi = wilson_interval(tail4_misses, terminal_samples) - miss_rate = tail4_misses / terminal_samples if terminal_samples else 1.0 - clean_seed_estimate = (1.0 - miss_rate) ** FULL_VERIFIER_WALKS - current_bits = current_tape_bits(iters, tail4=False) - tail4_bits = current_tape_bits(iters, tail4=True) - full_dialog_count = FIELD_MODULUS - 1 - report = { - "schema_version": 1, - "verdict": "green" if current_bits - tail4_bits > 2 else "red", - "scope": "Y3 whole-dialog rank bound plus production terminal-suffix probe", - "production": { - "iters": iters, - "schedule_entries": len(schedule), - "schedule_tail": schedule[-12:], - "field_modulus_hex": hex(FIELD_MODULUS), - "current_tape_bits": current_bits, - "tail4_tape_bits": tail4_bits, - "tail4_qubits_saved": current_bits - tail4_bits, - }, - "exact_whole_dialog_bound": { - "domain_elements": full_dialog_count, - "rank_bits": (full_dialog_count - 1).bit_length(), - "current_representation_bits": current_bits, - "information_slack_qubits": current_bits - (full_dialog_count - 1).bit_length(), - "proof": "With fixed initial u=p, the deterministic dialog plus terminal state reverses to exactly one input x; all x in 1..p-1 therefore give p-1 distinct complete dialogs in the exact walk.", - "scope_warning": "The production circuit deliberately truncates a small-probability tail, so this is an exact-algorithm information bound, not a proof that a cheap streaming ranker exists for the approximate verifier circuit.", - }, - "terminal_tree": enumerate_terminal_tree(schedule, args.state_cap), - "monte_carlo": { - "seed": args.seed, - "requested_samples": args.samples, - "outcomes": outcomes, - "conditional_terminal_samples": terminal_samples, - "tail4_decoder_words": len(tail4_support), - "tail4_support_misses": tail4_misses, - "tail4_support_miss_rate": miss_rate, - "tail4_support_miss_rate_wilson95": [miss_lo, miss_hi], - "estimated_clean_seed_probability_for_18048_walks": clean_seed_estimate, - "suffixes": [ - { - "depth": depth, - "observed_distinct": len(counts), - "rank_bits": max(1, (len(counts) - 1).bit_length()), - "most_frequent": [ - {"symbols": [list(symbol) for symbol in suffix], "count": count} - for suffix, count in sorted(counts.items(), key=lambda item: (-item[1], item[0]))[:8] - ], - } - for depth, counts in suffix_counts.items() - ], - "evidence_class": "deterministic Monte Carlo; ranking evidence only", - }, - "rank_unrank_price": { - "naive_endpoint_construction": "Run the existing reverse walk to map tape->x, copy x, then regenerate the tape before the apply traversal.", - "naive_endpoint_peak_reduction_qubits": 0, - "naive_endpoint_reason": "The apply traversal still requires the full tape beside the 256-bit coefficient register; regenerating it restores the binding live set and adds two GCD traversals.", - "global_streaming_ranker_status": "unimplemented-and-unpriced", - "bounded_tail4_status": "implemented reversible 12-to-5 payload codec; build-time artifact measurement must price its actual gate delta", - "decision": "Measure tail4 as the only concrete >2-qubit Y3 operator; do not implement the 256-bit global rank bound without a streaming apply construction.", - }, - "source_hashes": { - str(path.relative_to(REPO_ROOT)): sha256_file(path) - for path in (GCD_SOURCE, CODEC_SOURCE, SCHEDULE_SOURCE) - }, - "wall_seconds": time.monotonic() - started, - } - args.output.parent.mkdir(parents=True, exist_ok=True) - args.output.write_text(json.dumps(report, sort_keys=True, indent=2) + "\n", encoding="utf-8") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--samples", type=int, default=1_000_000) - parser.add_argument("--seed", type=int, default=FIXED_SEED) - parser.add_argument("--max-suffix", type=int, default=12) - parser.add_argument("--state-cap", type=int, default=1_000_000) - args = parser.parse_args() - if args.samples <= 0 or args.max_suffix < 4 or args.state_cap <= 0: - parser.error("samples/state-cap must be positive and max-suffix must be at least four") - report = run(args) - print(json.dumps(report, sort_keys=True)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y5_joint_codec_neighborhood.py b/src/point_add/memory/repro/y5_joint_codec_neighborhood.py deleted file mode 100755 index b4c177af..00000000 --- a/src/point_add/memory/repro/y5_joint_codec_neighborhood.py +++ /dev/null @@ -1,202 +0,0 @@ -#!/usr/bin/env python3 -"""Search exact-eight joint codecs obtained by fusing adjacent reference shears.""" - -from __future__ import annotations - -import argparse -import json -import shutil -import time -from pathlib import Path -from typing import Any - -import y5_joint_codec_synth as joint -from y1_composite_synth import canonical_json, sha256_file, solver_version - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y5-joint-codec-neighborhood-v1" -BOUND = 8 - - -def pin_shear(cnf: joint.synth.Cnf, encoded: joint.synth.ShearVariables, expected: dict[str, Any]) -> None: - cnf.clause(encoded.enabled) - for variable_ids, coefficients in ( - (encoded.left, expected["left"]), - (encoded.right, expected["right"]), - (encoded.direction, expected["direction"]), - ): - for variable, value in zip(variable_ids, coefficients): - cnf.clause(variable if value else -variable) - - -def run(args: argparse.Namespace) -> dict[str, Any]: - started_unix_ns = time.time_ns() - started = time.monotonic() - output = args.output.resolve() - for directory in (output, output / "cnf", output / "logs", output / "witnesses"): - directory.mkdir(parents=True, exist_ok=True) - - joint_ops, table = joint.configure_problem() - reference = joint.synth.reference_program(joint_ops) - if len(reference["shears"]) != joint.REFERENCE_CCX_COUNT: - raise RuntimeError("reference shear count changed") - solvers = { - name: binary - for name in ("cryptominisat5", "kissat", "cadical") - if (binary := shutil.which(name)) is not None - } - - branches: list[dict[str, Any]] = [] - candidate: dict[str, Any] | None = None - consumed = 0.0 - failures: list[str] = [] - for boundary in range(joint.REFERENCE_CCX_COUNT - 1): - if consumed >= args.max_local_seconds: - break - cnf, variables, branch_table = joint.synth.build_problem( - BOUND, list(joint.PAIR_INPUTS), exact=True - ) - template: list[dict[str, Any] | None] = [ - *reference["shears"][:boundary], - None, - *reference["shears"][boundary + 2 :], - ] - if len(template) != BOUND: - raise AssertionError("adjacent-fusion template must have eight shears") - for encoded, expected in zip(variables.shears, template): - if expected is not None: - pin_shear(cnf, encoded, expected) - - cnf_path = output / "cnf" / f"fuse-{boundary}-{boundary + 1}.cnf" - cnf.write( - cnf_path, - [ - "exact-eight joint codec with one free shear replacing an adjacent reference pair", - f"removed_reference_shears={boundary},{boundary + 1}", - "full-rank affine output map constrained by symbolic right inverse", - ], - ) - branch_runs: list[dict[str, Any]] = [] - branch_failure: str | None = None - for solver_name in ("cryptominisat5", "kissat", "cadical"): - binary = solvers.get(solver_name) - if binary is None or consumed >= args.max_local_seconds: - continue - timeout = max( - 1, - min(args.timeout_seconds, int(args.max_local_seconds - consumed)), - ) - solver_run = joint.synth.run_solver( - solver_name, - binary, - BOUND, - cnf_path, - output / "logs" / f"{solver_name}-fuse-{boundary}-{boundary + 1}.log", - timeout, - args.resume, - ) - if solver_run["elapsed_seconds"] is not None: - consumed += float(solver_run["elapsed_seconds"]) - assignment = set(solver_run.pop("true_variables")) - branch_runs.append(solver_run) - if solver_run["status"] != "sat": - continue - try: - program = joint.synth.decode_program(variables, assignment) - symbolic, compiled, compiled_verification = joint.verify_candidate( - program, branch_table, BOUND - ) - except Exception as error: - branch_failure = f"SAT witness failed to compile: {error}" - failures.append(f"branch {boundary}: {branch_failure}") - break - if symbolic["verdict"] != "green" or compiled_verification["verdict"] != "green": - branch_failure = "SAT witness failed exhaustive restricted-domain replay" - failures.append(f"branch {boundary}: {branch_failure}") - break - candidate = { - "bound": BOUND, - "fused_reference_shears": [boundary, boundary + 1], - "solver": solver_name, - "program": program, - "symbolic_verification": symbolic, - "compiled_verification": compiled_verification, - "compiled_operations": compiled, - "compiled_operation_count": len(compiled), - "compiled_ccx": sum(kind == "CCX" for kind, _, _, _ in compiled), - "rust_table": joint.synth.rust_table(compiled), - } - witness_path = output / "witnesses" / f"fuse-{boundary}-{boundary + 1}.json" - witness_path.write_bytes(canonical_json(candidate) + b"\n") - candidate["witness_path"] = str(witness_path.relative_to(REPO_ROOT)) - candidate["witness_sha256"] = sha256_file(witness_path) - break - - branches.append( - { - "fused_reference_shears": [boundary, boundary + 1], - "status": "sat" - if candidate is not None - else "instrument-failure" - if branch_failure is not None - else "unsat" - if branch_runs and all(run["status"] == "unsat" for run in branch_runs) - else "unresolved", - "failure": branch_failure, - "cnf": { - "path": str(cnf_path.relative_to(REPO_ROOT)), - "sha256": sha256_file(cnf_path), - "variables": cnf.nvars, - "clauses": len(cnf.clauses), - }, - "solver_runs": branch_runs, - } - ) - if candidate is not None or branch_failure is not None: - break - - verdict = "red" if failures else "green" if candidate is not None else "yellow" - report: dict[str, Any] = { - "schema_version": 1, - "prediction_id": args.prediction_id, - "started_unix_ns": started_unix_ns, - "wall_seconds": time.monotonic() - started, - "local_cpu_seconds": consumed, - "verdict": verdict, - "failures": failures, - "search_class": "replace each adjacent pair of the nine-shear reference by one arbitrary generalized shear", - "branches": branches, - "candidate_found": candidate is not None, - "candidate": candidate, - "solver_versions": { - name: solver_version(binary) for name, binary in solvers.items() - }, - "source_path": str(Path(__file__).resolve().relative_to(REPO_ROOT)), - "source_sha256": sha256_file(Path(__file__).resolve()), - "completeness_contract": { - "all_eight_adjacent_pairs_attempted": len(branches) == 8, - "restricted_domain_forward_inverse_replay": candidate is not None, - "output_map_explicitly_invertible": True, - "timeouts_are_not_lower_bounds": True, - }, - } - (output / "report.json").write_bytes(canonical_json(report) + b"\n") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--prediction-id", default="PRED-Y5-JOINT-CODEC-SYNTH-V4") - parser.add_argument("--timeout-seconds", type=int, default=30) - parser.add_argument("--max-local-seconds", type=float, default=900.0) - parser.add_argument("--resume", action="store_true") - args = parser.parse_args() - report = run(args) - print(json.dumps(report, sort_keys=True, indent=2)) - return 1 if report["verdict"] == "red" else 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y5_joint_codec_stochastic.py b/src/point_add/memory/repro/y5_joint_codec_stochastic.py deleted file mode 100755 index 68e93929..00000000 --- a/src/point_add/memory/repro/y5_joint_codec_stochastic.py +++ /dev/null @@ -1,352 +0,0 @@ -#!/usr/bin/env python3 -"""Deterministic global search for an exact eight-shear joint codec. - -This is a witness finder, not an UNSAT procedure. It searches beyond the closed -one-shear neighborhoods by evolving arbitrary valid generalized shears. For each -nonlinear prefix it solves the best final affine output map exactly over the 25 -reachable pair states. -""" - -from __future__ import annotations - -import argparse -import hashlib -import itertools -import json -import random -from dataclasses import dataclass -from pathlib import Path -from typing import Any - -import y5_joint_codec_synth as joint -import y5_normalizer_synth as synth - -Shear = tuple[int, int, int, int] -Sequence = tuple[Shear, ...] - - -@dataclass(frozen=True) -class Evaluation: - errors: int - output_rank: int - outputs: tuple[int, ...] - - @property - def fitness(self) -> tuple[int, int, int]: - rank_deficit = synth.WIDTH - self.output_rank - return self.errors + 8 * rank_deficit, self.errors, rank_deficit - - -def _sha256(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb") as source: - for chunk in iter(lambda: source.read(1024 * 1024), b""): - digest.update(chunk) - return digest.hexdigest() - - -def _columns(values: list[int], width: int) -> tuple[int, ...]: - return tuple( - sum(((value >> bit) & 1) << index for index, value in enumerate(values)) - for bit in range(width) - ) - - -def _affine_mask(coefficients: int, columns: tuple[int, ...], all_rows: int) -> int: - result = all_rows if coefficients & 1 else 0 - linear = coefficients >> 1 - while linear: - bit = (linear & -linear).bit_length() - 1 - result ^= columns[bit] - linear &= linear - 1 - return result - - -def apply_sequence(sequence: Sequence, initial: tuple[int, ...], all_rows: int) -> tuple[int, ...]: - columns = list(initial) - for left, right, direction, offsets in sequence: - left_mask = _affine_mask((left << 1) | (offsets & 1), tuple(columns), all_rows) - right_mask = _affine_mask((right << 1) | ((offsets >> 1) & 1), tuple(columns), all_rows) - toggle = left_mask & right_mask - changed = direction - while changed: - bit = (changed & -changed).bit_length() - 1 - columns[bit] ^= toggle - changed &= changed - 1 - return tuple(columns) - - -def _best_affine_options( - columns: tuple[int, ...], target: int, all_rows: int -) -> tuple[int, tuple[int, ...]]: - best = len(columns) * all_rows.bit_count() + 1 - options: list[int] = [] - for coefficients in range(1 << (len(columns) + 1)): - distance = (_affine_mask(coefficients, columns, all_rows) ^ target).bit_count() - if distance < best: - best = distance - options = [coefficients] - elif distance == best: - options.append(coefficients) - return best, tuple(options) - - -def _best_ranked_outputs(options: list[tuple[int, ...]], width: int) -> tuple[int, tuple[int, ...]]: - best_rank = -1 - best: tuple[int, ...] = () - combinations = 1 - for values in options: - combinations *= len(values) - if combinations <= 100_000: - candidates = itertools.product(*options) - else: - candidates = (tuple(values[0] for values in options),) - for candidate in candidates: - rank = synth.matrix_rank([coefficients >> 1 for coefficients in candidate], width) - if rank > best_rank: - best_rank = rank - best = tuple(candidate) - if rank == width: - break - return best_rank, best - - -def evaluate_sequence( - sequence: Sequence, - initial_columns: tuple[int, ...], - target_columns: tuple[int, ...], - all_rows: int, -) -> Evaluation: - columns = apply_sequence(sequence, initial_columns, all_rows) - errors = 0 - options: list[tuple[int, ...]] = [] - for target in target_columns: - distance, coefficients = _best_affine_options(columns, target, all_rows) - errors += distance - options.append(coefficients) - rank, outputs = _best_ranked_outputs(options, len(columns)) - return Evaluation(errors=errors, output_rank=rank, outputs=outputs) - - -def _directions(left: int, right: int, width: int) -> tuple[int, ...]: - return tuple( - direction - for direction in range(1, 1 << width) - if synth.dot(left, direction) == 0 and synth.dot(right, direction) == 0 - ) - - -def random_shear(rng: random.Random, width: int) -> Shear: - left = rng.randrange(1, 1 << width) - right = rng.randrange(1, 1 << width) - while right == left: - right = rng.randrange(1, 1 << width) - offsets = rng.randrange(4) - if left > right: - left, right = right, left - offsets = ((offsets & 1) << 1) | ((offsets >> 1) & 1) - direction = rng.choice(_directions(left, right, width)) - return left, right, direction, offsets - - -def mutate(sequence: Sequence, rng: random.Random, width: int) -> Sequence: - result = list(sequence) - index = rng.randrange(len(result)) - left, right, direction, offsets = result[index] - mode = rng.randrange(10) - if mode < 4: - result[index] = random_shear(rng, width) - elif mode < 6: - choices = [value for value in range(4) if value != offsets] - result[index] = left, right, direction, rng.choice(choices) - elif mode < 8: - directions = [value for value in _directions(left, right, width) if value != direction] - result[index] = left, right, rng.choice(directions), offsets - else: - result[index] = random_shear(rng, width) - other = rng.randrange(len(result)) - result[other] = random_shear(rng, width) - if rng.random() < 0.08: - first, second = rng.sample(range(len(result)), 2) - result[first], result[second] = result[second], result[first] - return tuple(result) - - -def _from_program(program: dict[str, Any]) -> Sequence: - sequence: list[Shear] = [] - for shear in program["shears"]: - left = synth.vector(shear["left"][1:]) - right = synth.vector(shear["right"][1:]) - offsets = shear["left"][0] | (shear["right"][0] << 1) - if left > right: - left, right = right, left - offsets = ((offsets & 1) << 1) | ((offsets >> 1) & 1) - sequence.append((left, right, synth.vector(shear["direction"]), offsets)) - return tuple(sequence) - - -def _to_program(sequence: Sequence, outputs: tuple[int, ...], width: int) -> dict[str, Any]: - return { - "width": width, - "shears": [ - { - "enabled": 1, - "left": [offsets & 1, *[(left >> bit) & 1 for bit in range(width)]], - "right": [ - (offsets >> 1) & 1, - *[(right >> bit) & 1 for bit in range(width)], - ], - "direction": [(direction >> bit) & 1 for bit in range(width)], - } - for left, right, direction, offsets in sequence - ], - "outputs": [ - [coefficients & 1, *[((coefficients >> 1) >> bit) & 1 for bit in range(width)]] - for coefficients in outputs - ], - } - - -def search( - *, - evaluation_budget: int, - seed: int, - population_size: int = 256, - elite_size: int = 32, -) -> dict[str, Any]: - if evaluation_budget < population_size: - raise ValueError("evaluation budget must cover the initial population") - rng = random.Random(seed) - joint_ops, table = joint.configure_problem() - width = joint.WIDTH - domain = list(joint.PAIR_INPUTS) - targets = [table[value] for value in domain] - initial_columns = _columns(domain, width) - target_columns = _columns(targets, width) - all_rows = (1 << len(domain)) - 1 - reference = _from_program(synth.reference_program(joint_ops)) - if len(reference) != joint.REFERENCE_CCX_COUNT: - raise AssertionError("reference shear count changed") - - seeds: list[Sequence] = [reference[:index] + reference[index + 1 :] for index in range(len(reference))] - while len(seeds) < population_size: - if len(seeds) < population_size * 3 // 4: - base = rng.choice(seeds[: len(reference)]) - for _ in range(1 + rng.randrange(4)): - base = mutate(base, rng, width) - seeds.append(base) - else: - seeds.append(tuple(random_shear(rng, width) for _ in range(8))) - - cache: dict[Sequence, Evaluation] = {} - evaluated = 0 - - def measured(sequence: Sequence) -> Evaluation: - nonlocal evaluated - if sequence not in cache: - cache[sequence] = evaluate_sequence( - sequence, initial_columns, target_columns, all_rows - ) - evaluated += 1 - return cache[sequence] - - population = list(dict.fromkeys(seeds)) - history: list[dict[str, int]] = [] - best_sequence = population[0] - best_evaluation = measured(best_sequence) - generation = 0 - while evaluated < evaluation_budget: - population.sort(key=lambda sequence: measured(sequence).fitness) - current = population[0] - current_evaluation = measured(current) - if current_evaluation.fitness < best_evaluation.fitness: - best_sequence = current - best_evaluation = current_evaluation - history.append( - { - "generation": generation, - "evaluations": evaluated, - "errors": best_evaluation.errors, - "output_rank": best_evaluation.output_rank, - } - ) - if best_evaluation.errors == 0 and best_evaluation.output_rank == width: - break - exploit = population[: elite_size // 2] - explore = rng.sample(population[elite_size // 2 :], elite_size - len(exploit)) - elites = [*exploit, *explore] - next_population: list[Sequence] = list(elites) - seen = set(next_population) - while len(next_population) < population_size and evaluated < evaluation_budget: - if rng.random() < 0.20: - first, second = rng.sample(elites, 2) - cut = rng.randrange(1, len(first)) - child = first[:cut] + second[cut:] - else: - child = mutate(rng.choice(elites), rng, width) - if child in seen: - continue - seen.add(child) - next_population.append(child) - measured(child) - population = next_population - generation += 1 - - population.sort(key=lambda sequence: measured(sequence).fitness) - if measured(population[0]).fitness < best_evaluation.fitness: - best_sequence = population[0] - best_evaluation = measured(best_sequence) - program = _to_program(best_sequence, best_evaluation.outputs, width) - witness: dict[str, Any] | None = None - if best_evaluation.errors == 0 and best_evaluation.output_rank == width: - symbolic, compiled, compiled_verification = joint.verify_candidate(program, table, 8) - if symbolic["verdict"] != "green" or compiled_verification["verdict"] != "green": - raise AssertionError("zero-residual stochastic witness failed exact replay") - witness = { - "program": program, - "compiled_operations": compiled, - "symbolic_verification": symbolic, - "compiled_verification": compiled_verification, - "rust_table": synth.rust_table(compiled), - } - return { - "schema_version": 1, - "scope": "unrestricted exact-eight generalized-shear witness search", - "status": "witness" if witness is not None else "unresolved", - "seed": seed, - "evaluation_budget": evaluation_budget, - "evaluations": evaluated, - "generations": generation, - "population_size": population_size, - "elite_size": elite_size, - "reference_shears": len(reference), - "best": { - "errors": best_evaluation.errors, - "output_rank": best_evaluation.output_rank, - "program": program, - }, - "improvement_history": history, - "witness": witness, - "warning": "No witness is not evidence of UNSAT.", - "source_hashes": { - "y5_joint_codec_synth.py": _sha256(Path(joint.__file__)), - "y5_normalizer_synth.py": _sha256(Path(synth.__file__)), - }, - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--evaluations", type=int, default=200_000) - parser.add_argument("--seed", type=int, default=0xECDA5A) - parser.add_argument("--output", type=Path, required=True) - args = parser.parse_args() - report = search(evaluation_budget=args.evaluations, seed=args.seed) - args.output.parent.mkdir(parents=True, exist_ok=True) - args.output.write_text(json.dumps(report, sort_keys=True, indent=2) + "\n", encoding="utf-8") - print(json.dumps({key: value for key, value in report.items() if key != "best"}, sort_keys=True)) - return 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y5_joint_codec_synth.py b/src/point_add/memory/repro/y5_joint_codec_synth.py deleted file mode 100755 index d93ef2aa..00000000 --- a/src/point_add/memory/repro/y5_joint_codec_synth.py +++ /dev/null @@ -1,374 +0,0 @@ -#!/usr/bin/env python3 -"""Exact restricted-domain synthesis for the joint pair compressor and normalizer.""" - -from __future__ import annotations - -import argparse -import json -import shutil -import time -from pathlib import Path -from typing import Any - -import y5_normalizer_synth as synth -from y1_composite_synth import canonical_json, sha256_file, solver_version - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y5-joint-codec-synth-v1" -VALID_SYMBOLS = (0b001, 0b011, 0b100, 0b101, 0b111) -PAIR_INPUTS = tuple(first | (second << 3) for first in VALID_SYMBOLS for second in VALID_SYMBOLS) -WIDTH = 6 -REFERENCE_CCX_COUNT = 9 -COMPRESSOR_UNITARY: tuple[synth.Gate, ...] = ( - ("X", 3, 0, 0), - ("CX", 5, 1, 0), - ("CX", 4, 0, 0), - ("X", 2, 0, 0), - ("CCX", 1, 3, 5), - ("CX", 3, 5, 0), - ("CX", 3, 0, 0), - ("CX", 1, 5, 0), - ("CX", 5, 3, 0), - ("CCX", 5, 0, 4), - ("CCX", 3, 4, 5), -) - - -def configure_problem() -> tuple[list[synth.Gate], list[int]]: - normalizer_ops = synth.load_reference_ops() - joint_ops = [*COMPRESSOR_UNITARY, *normalizer_ops] - if sum(kind == "CCX" for kind, _, _, _ in joint_ops) != REFERENCE_CCX_COUNT: - raise RuntimeError("joint reference must contain exactly nine CCX gates") - - synth.WIDTH = WIDTH - synth.REFERENCE_CCX_COUNT = REFERENCE_CCX_COUNT - table = [synth.simulate_operations(value, joint_ops) for value in range(1 << WIDTH)] - synth.reference_table = lambda operations=None: table if operations is None else [ - synth.simulate_operations(value, operations) for value in range(1 << WIDTH) - ] - - pair_outputs = [table[value] for value in PAIR_INPUTS] - if len(set(PAIR_INPUTS)) != 25 or sorted(pair_outputs) != list(range(25)): - raise RuntimeError("joint pair25 mapping must be a bijection onto canonical values 0..24") - return joint_ops, table - - -def pin_program(cnf: synth.Cnf, variables: synth.SynthesisVariables, program: dict[str, Any]) -> None: - if len(variables.shears) != len(program["shears"]): - raise ValueError("program shear count does not match CNF") - for encoded, expected in zip(variables.shears, program["shears"]): - cnf.clause(encoded.enabled if expected["enabled"] else -encoded.enabled) - for variable_ids, coefficients in ( - (encoded.left, expected["left"]), - (encoded.right, expected["right"]), - (encoded.direction, expected["direction"]), - ): - for variable, value in zip(variable_ids, coefficients): - cnf.clause(variable if value else -variable) - for variable_ids, coefficients in zip(variables.outputs, program["outputs"]): - for variable, value in zip(variable_ids, coefficients): - cnf.clause(variable if value else -variable) - - -def public_solver_run(run: dict[str, Any]) -> dict[str, Any]: - return {key: value for key, value in run.items() if key != "true_variables"} - - -def build_cnf( - bound: int, - output: Path, - pinned_program: dict[str, Any] | None = None, -) -> tuple[synth.Cnf, synth.SynthesisVariables, list[int], Path]: - cnf, variables, table = synth.build_problem(bound, list(PAIR_INPUTS), exact=True) - if pinned_program is not None: - pin_program(cnf, variables, pinned_program) - suffix = "-pinned" if pinned_program is not None else "" - path = output / "cnf" / f"joint-codec-exact-{bound}{suffix}.cnf" - cnf.write( - path, - [ - "six-wire pair compressor plus NORMALIZER_OPS restricted-domain synthesis", - f"exact_ccx={bound}; valid_inputs=25; invalid_inputs_unbound=39", - "full-rank affine output map constrained by a symbolic right inverse", - "enabled generalized shear x <- x + c*(a.x+a0)*(b.x+b0)", - ], - ) - return cnf, variables, table, path - - -def verify_candidate( - program: dict[str, Any], table: list[int], bound: int -) -> tuple[dict[str, Any], list[synth.Gate], dict[str, Any]]: - symbolic = synth.verify_program(program, table, list(PAIR_INPUTS)) - compiled = synth.compile_program(program) - compiled_verification = synth.verify_compiled(compiled, table, list(PAIR_INPUTS)) - compiled_ccx = sum(kind == "CCX" for kind, _, _, _ in compiled) - if compiled_ccx != bound: - compiled_verification = { - **compiled_verification, - "verdict": "red", - "failures": [ - *compiled_verification["failures"], - {"kind": "ccx-count", "expected": bound, "observed": compiled_ccx}, - ], - } - return symbolic, compiled, compiled_verification - - -def run_pinned_reference( - output: Path, - solvers: dict[str, str], - program: dict[str, Any], -) -> tuple[dict[str, Any], float]: - cnf, _, _, path = build_cnf(REFERENCE_CCX_COUNT, output, program) - runs: list[dict[str, Any]] = [] - elapsed_total = 0.0 - for solver_name in ("kissat", "cadical"): - binary = solvers.get(solver_name) - if binary is None: - continue - run = synth.run_solver( - solver_name, - binary, - REFERENCE_CCX_COUNT, - path, - output / "logs" / f"{solver_name}-reference-pinned.log", - 120, - False, - ) - elapsed_total += float(run["elapsed_seconds"]) - runs.append(public_solver_run(run)) - failures = [ - f"{run['solver']} pinned reference status {run['status']}" - for run in runs - if run["status"] != "sat" - ] - if not runs: - failures.append("neither Kissat nor CaDiCaL is available for the pinned reference") - return { - "verdict": "green" if not failures else "red", - "failures": failures, - "cnf": { - "path": str(path.relative_to(REPO_ROOT)), - "sha256": sha256_file(path), - "variables": cnf.nvars, - "clauses": len(cnf.clauses), - }, - "solver_runs": runs, - }, elapsed_total - - -def search_bound( - bound: int, - output: Path, - solvers: dict[str, str], - timeout_seconds: int, - remaining_seconds: float, - resume: bool, -) -> tuple[dict[str, Any], dict[str, Any] | None, float]: - cnf, variables, table, path = build_cnf(bound, output) - runs: list[dict[str, Any]] = [] - candidate: dict[str, Any] | None = None - consumed = 0.0 - failures: list[str] = [] - - for solver_name in ("cryptominisat5", "kissat", "cadical"): - binary = solvers.get(solver_name) - if binary is None or remaining_seconds - consumed <= 0: - continue - run_timeout = max(1, min(timeout_seconds, int(remaining_seconds - consumed))) - run = synth.run_solver( - solver_name, - binary, - bound, - path, - output / "logs" / f"{solver_name}-exact-{bound}.log", - run_timeout, - resume, - ) - consumed += float(run["elapsed_seconds"]) - assignment = set(run.pop("true_variables")) - runs.append(run) - if run["status"] != "sat": - continue - - try: - program = synth.decode_program(variables, assignment) - symbolic, compiled, compiled_verification = verify_candidate(program, table, bound) - except Exception as error: - failures.append(f"{solver_name} SAT witness failed to compile: {error}") - break - if symbolic["verdict"] != "green" or compiled_verification["verdict"] != "green": - failures.append(f"{solver_name} SAT witness failed exhaustive restricted-domain replay") - break - - candidate = { - "bound": bound, - "solver": solver_name, - "program": program, - "symbolic_verification": symbolic, - "compiled_verification": compiled_verification, - "compiled_operations": compiled, - "compiled_operation_count": len(compiled), - "compiled_ccx": sum(kind == "CCX" for kind, _, _, _ in compiled), - "rust_table": synth.rust_table(compiled), - } - witness_path = output / "witnesses" / f"joint-codec-exact-{bound}.json" - witness_path.write_bytes(canonical_json(candidate) + b"\n") - candidate["witness_path"] = str(witness_path.relative_to(REPO_ROOT)) - candidate["witness_sha256"] = sha256_file(witness_path) - break - - statuses = {run["solver"]: run["status"] for run in runs} - if candidate is not None: - status = "sat" - elif failures: - status = "instrument-failure" - elif runs and all(value == "unsat" for value in statuses.values()): - status = "unsat" - else: - status = "unresolved" - return { - "bound": bound, - "status": status, - "failures": failures, - "cnf": { - "path": str(path.relative_to(REPO_ROOT)), - "sha256": sha256_file(path), - "variables": cnf.nvars, - "clauses": len(cnf.clauses), - }, - "solver_runs": runs, - }, candidate, consumed - - -def run(args: argparse.Namespace) -> dict[str, Any]: - started_unix_ns = time.time_ns() - started = time.monotonic() - output = args.output.resolve() - for directory in (output, output / "cnf", output / "logs", output / "witnesses"): - directory.mkdir(parents=True, exist_ok=True) - - joint_ops, table = configure_problem() - reference_program = synth.reference_program(joint_ops) - symbolic_reference = synth.verify_program(reference_program, table, list(range(1 << WIDTH))) - compiled_reference = synth.compile_program(reference_program) - compiled_reference_verification = synth.verify_compiled( - compiled_reference, table, list(range(1 << WIDTH)) - ) - reference_failures: list[str] = [] - if symbolic_reference["verdict"] != "green": - reference_failures.append("symbolic nine-CCX reference failed all-state replay") - if compiled_reference_verification["verdict"] != "green": - reference_failures.append("compiled nine-CCX reference failed all-state forward/inverse replay") - if sum(kind == "CCX" for kind, _, _, _ in compiled_reference) != REFERENCE_CCX_COUNT: - reference_failures.append("compiled reference CCX count changed") - - solvers = { - name: binary - for name in ("kissat", "cadical", "cryptominisat5") - if (binary := shutil.which(name)) is not None - } - pinned_reference, pinned_elapsed = run_pinned_reference(output, solvers, reference_program) - if pinned_reference["verdict"] != "green": - reference_failures.extend(pinned_reference["failures"]) - - searches: list[dict[str, Any]] = [] - best_candidate: dict[str, Any] | None = None - consumed = pinned_elapsed - if not reference_failures: - search8, candidate8, elapsed8 = search_bound( - 8, - output, - solvers, - args.timeout_seconds, - max(0.0, args.max_local_seconds - consumed), - args.resume, - ) - searches.append(search8) - consumed += elapsed8 - best_candidate = candidate8 - if candidate8 is not None and consumed < args.max_local_seconds: - search7, candidate7, elapsed7 = search_bound( - 7, - output, - solvers, - args.timeout_seconds, - args.max_local_seconds - consumed, - args.resume, - ) - searches.append(search7) - consumed += elapsed7 - if candidate7 is not None: - best_candidate = candidate7 - - failures = [*reference_failures] - failures.extend(failure for search in searches for failure in search["failures"]) - if failures: - verdict = "red" - elif best_candidate is not None: - verdict = "green" - else: - verdict = "yellow" - - report: dict[str, Any] = { - "schema_version": 1, - "prediction_id": args.prediction_id, - "started_unix_ns": started_unix_ns, - "wall_seconds": time.monotonic() - started, - "local_cpu_seconds": consumed, - "verdict": verdict, - "failures": failures, - "domain": { - "width": WIDTH, - "inputs": list(PAIR_INPUTS), - "input_count": len(PAIR_INPUTS), - "invalid_inputs_unbound": (1 << WIDTH) - len(PAIR_INPUTS), - "outputs": [table[value] for value in PAIR_INPUTS], - "outputs_clear_wire_5": all(table[value] < 1 << 5 for value in PAIR_INPUTS), - }, - "reference": { - "ccx": REFERENCE_CCX_COUNT, - "operation_count": len(joint_ops), - "symbolic_verification": symbolic_reference, - "compiled_operation_count": len(compiled_reference), - "compiled_verification": compiled_reference_verification, - "pinned_invertibility_cnf": pinned_reference, - }, - "searches": searches, - "candidate_found": best_candidate is not None, - "candidate": best_candidate, - "solver_versions": { - name: solver_version(binary) for name, binary in solvers.items() - }, - "source_path": str(Path(__file__).resolve().relative_to(REPO_ROOT)), - "source_sha256": sha256_file(Path(__file__).resolve()), - "completeness_contract": { - "reference_all_64_forward_inverse": symbolic_reference["verdict"] == "green" - and compiled_reference_verification["verdict"] == "green", - "output_map_explicitly_invertible": pinned_reference["verdict"] == "green", - "restricted_domain_forward_inverse_replay": best_candidate is not None, - "timeouts_are_not_lower_bounds": True, - }, - } - report_path = output / "report.json" - report_path.write_bytes(canonical_json(report) + b"\n") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--prediction-id", default="PRED-Y5-JOINT-CODEC-SYNTH-V3") - parser.add_argument("--timeout-seconds", type=int, default=600) - parser.add_argument("--max-local-seconds", type=float, default=7200.0) - parser.add_argument("--resume", action="store_true") - args = parser.parse_args() - report = run(args) - print(json.dumps(report, sort_keys=True, indent=2)) - return 1 if report["verdict"] == "red" else 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y5_joint_codec_triple_fusion.py b/src/point_add/memory/repro/y5_joint_codec_triple_fusion.py deleted file mode 100755 index cc268ebb..00000000 --- a/src/point_add/memory/repro/y5_joint_codec_triple_fusion.py +++ /dev/null @@ -1,210 +0,0 @@ -#!/usr/bin/env python3 -"""Search exact-eight joint codecs by replacing each reference triple with two shears.""" - -from __future__ import annotations - -import argparse -import json -import shutil -import time -from pathlib import Path -from typing import Any - -import y5_joint_codec_synth as joint -from y1_composite_synth import canonical_json, sha256_file, solver_version - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y5-joint-codec-triple-fusion-v1" -BOUND = 8 - - -def pin_shear(cnf: joint.synth.Cnf, encoded: joint.synth.ShearVariables, expected: dict[str, Any]) -> None: - cnf.clause(encoded.enabled) - for variable_ids, coefficients in ( - (encoded.left, expected["left"]), - (encoded.right, expected["right"]), - (encoded.direction, expected["direction"]), - ): - for variable, value in zip(variable_ids, coefficients): - cnf.clause(variable if value else -variable) - - -def run(args: argparse.Namespace) -> dict[str, Any]: - started_unix_ns = time.time_ns() - started = time.monotonic() - output = args.output.resolve() - for directory in (output, output / "cnf", output / "logs", output / "witnesses"): - directory.mkdir(parents=True, exist_ok=True) - - joint_ops, _ = joint.configure_problem() - reference = joint.synth.reference_program(joint_ops) - solvers = { - name: binary - for name in ("cryptominisat5", "kissat", "cadical") - if (binary := shutil.which(name)) is not None - } - branches: list[dict[str, Any]] = [] - candidate: dict[str, Any] | None = None - failures: list[str] = [] - consumed = 0.0 - - for start_index in range(joint.REFERENCE_CCX_COUNT - 2): - if consumed >= args.max_local_seconds: - break - template: list[dict[str, Any] | None] = [ - *reference["shears"][:start_index], - None, - None, - *reference["shears"][start_index + 3 :], - ] - cnf, variables, table = joint.synth.build_problem( - BOUND, list(joint.PAIR_INPUTS), exact=True - ) - for encoded, expected in zip(variables.shears, template): - if expected is not None: - pin_shear(cnf, encoded, expected) - branch_id = f"fuse-{start_index}-{start_index + 1}-{start_index + 2}" - cnf_path = output / "cnf" / f"{branch_id}.cnf" - cnf.write( - cnf_path, - [ - "exact-eight joint codec with two free shears replacing three adjacent reference shears", - f"removed_reference_shears={start_index},{start_index + 1},{start_index + 2}", - "full-rank affine output map constrained by symbolic right inverse", - ], - ) - solver_runs: list[dict[str, Any]] = [] - branch_failure: str | None = None - for solver_name in ("cryptominisat5", "kissat", "cadical"): - binary = solvers.get(solver_name) - if binary is None or consumed >= args.max_local_seconds: - continue - timeout = max( - 1, - min(args.timeout_seconds, int(args.max_local_seconds - consumed)), - ) - solver_run = joint.synth.run_solver( - solver_name, - binary, - BOUND, - cnf_path, - output / "logs" / f"{solver_name}-{branch_id}.log", - timeout, - args.resume, - ) - if solver_run["elapsed_seconds"] is not None: - consumed += float(solver_run["elapsed_seconds"]) - assignment = set(solver_run.pop("true_variables")) - solver_runs.append(solver_run) - if solver_run["status"] != "sat": - continue - try: - program = joint.synth.decode_program(variables, assignment) - symbolic, compiled, compiled_verification = joint.verify_candidate( - program, table, BOUND - ) - except Exception as error: - branch_failure = f"SAT witness failed to compile: {error}" - else: - if symbolic["verdict"] != "green" or compiled_verification["verdict"] != "green": - branch_failure = "SAT witness failed exhaustive restricted-domain replay" - else: - candidate = { - "bound": BOUND, - "replaced_reference_shears": [ - start_index, - start_index + 1, - start_index + 2, - ], - "solver": solver_name, - "program": program, - "symbolic_verification": symbolic, - "compiled_verification": compiled_verification, - "compiled_operations": compiled, - "compiled_operation_count": len(compiled), - "compiled_ccx": sum( - kind == "CCX" for kind, _, _, _ in compiled - ), - "rust_table": joint.synth.rust_table(compiled), - } - witness_path = output / "witnesses" / f"{branch_id}.json" - witness_path.write_bytes(canonical_json(candidate) + b"\n") - candidate["witness_path"] = str(witness_path.relative_to(REPO_ROOT)) - candidate["witness_sha256"] = sha256_file(witness_path) - break - if branch_failure is not None: - failures.append(f"{branch_id}: {branch_failure}") - statuses = {run["solver"]: run["status"] for run in solver_runs} - branches.append( - { - "id": branch_id, - "replaced_reference_shears": [ - start_index, - start_index + 1, - start_index + 2, - ], - "status": "instrument-failure" - if branch_failure is not None - else "sat" - if candidate is not None - else "unsat" - if solver_runs and all(status == "unsat" for status in statuses.values()) - else "unresolved", - "failure": branch_failure, - "cnf_path": str(cnf_path.relative_to(REPO_ROOT)), - "cnf_sha256": sha256_file(cnf_path), - "cnf_variables": cnf.nvars, - "cnf_clauses": len(cnf.clauses), - "solver_runs": solver_runs, - } - ) - if candidate is not None or branch_failure is not None: - break - - verdict = "red" if failures else "green" if candidate is not None else "yellow" - report: dict[str, Any] = { - "schema_version": 1, - "prediction_id": args.prediction_id, - "started_unix_ns": started_unix_ns, - "wall_seconds": time.monotonic() - started, - "local_cpu_seconds": consumed, - "verdict": verdict, - "failures": failures, - "search_class": "replace each contiguous three-shear block of the nine-shear reference by two arbitrary generalized shears", - "expected_branches": 7, - "branches_run": len(branches), - "branches": branches, - "candidate_found": candidate is not None, - "candidate": candidate, - "solver_versions": { - name: solver_version(binary) for name, binary in solvers.items() - }, - "source_path": str(Path(__file__).resolve().relative_to(REPO_ROOT)), - "source_sha256": sha256_file(Path(__file__).resolve()), - "completeness_contract": { - "all_seven_triples_attempted": len(branches) == 7, - "restricted_domain_forward_inverse_replay": candidate is not None, - "output_map_explicitly_invertible": True, - "timeouts_are_not_lower_bounds": True, - }, - } - (output / "report.json").write_bytes(canonical_json(report) + b"\n") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--prediction-id", default="PRED-Y5-JOINT-CODEC-SYNTH-V4") - parser.add_argument("--timeout-seconds", type=int, default=60) - parser.add_argument("--max-local-seconds", type=float, default=1200.0) - parser.add_argument("--resume", action="store_true") - args = parser.parse_args() - report = run(args) - print(json.dumps(report, sort_keys=True, indent=2)) - return 1 if report["verdict"] == "red" else 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y5_joint_codec_two_rebase.py b/src/point_add/memory/repro/y5_joint_codec_two_rebase.py deleted file mode 100755 index 5b9d241e..00000000 --- a/src/point_add/memory/repro/y5_joint_codec_two_rebase.py +++ /dev/null @@ -1,212 +0,0 @@ -#!/usr/bin/env python3 -"""Search exact-eight joint codecs near every seven-shear reference subsequence.""" - -from __future__ import annotations - -import argparse -import itertools -import json -import shutil -import time -from pathlib import Path -from typing import Any - -import y5_joint_codec_synth as joint -from y1_composite_synth import canonical_json, sha256_file, solver_version - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y5-joint-codec-two-rebase-v1" -BOUND = 8 - - -def pin_shear(cnf: joint.synth.Cnf, encoded: joint.synth.ShearVariables, expected: dict[str, Any]) -> None: - cnf.clause(encoded.enabled) - for variable_ids, coefficients in ( - (encoded.left, expected["left"]), - (encoded.right, expected["right"]), - (encoded.direction, expected["direction"]), - ): - for variable, value in zip(variable_ids, coefficients): - cnf.clause(variable if value else -variable) - - -def run(args: argparse.Namespace) -> dict[str, Any]: - started_unix_ns = time.time_ns() - started = time.monotonic() - output = args.output.resolve() - for directory in (output, output / "cnf", output / "logs", output / "witnesses"): - directory.mkdir(parents=True, exist_ok=True) - - joint_ops, _ = joint.configure_problem() - reference = joint.synth.reference_program(joint_ops) - if len(reference["shears"]) != joint.REFERENCE_CCX_COUNT: - raise RuntimeError("reference shear count changed") - solver_name = args.solver - binary = shutil.which(solver_name) - if binary is None: - raise RuntimeError(f"required solver not found: {solver_name}") - - branches: list[dict[str, Any]] = [] - candidate: dict[str, Any] | None = None - consumed = 0.0 - failures: list[str] = [] - pairs = list(itertools.combinations(range(joint.REFERENCE_CCX_COUNT), 2)) - for removed in pairs: - kept = [ - shear for index, shear in enumerate(reference["shears"]) if index not in removed - ] - for insertion in range(BOUND): - if consumed >= args.max_local_seconds: - break - template: list[dict[str, Any] | None] = [ - *kept[:insertion], None, *kept[insertion:] - ] - if len(template) != BOUND: - raise AssertionError("two-rebase template must have eight shears") - cnf, variables, table = joint.synth.build_problem( - BOUND, list(joint.PAIR_INPUTS), exact=True - ) - for encoded, expected in zip(variables.shears, template): - if expected is not None: - pin_shear(cnf, encoded, expected) - - branch_id = f"drop-{removed[0]}-{removed[1]}-insert-{insertion}" - cnf_path = output / "cnf" / f"{branch_id}.cnf" - cnf.write( - cnf_path, - [ - "exact-eight joint codec with seven pinned reference shears and one free shear", - f"removed_reference_shears={removed[0]},{removed[1]}; free_insertion={insertion}", - "full-rank affine output map constrained by symbolic right inverse", - ], - ) - timeout = max( - 1, - min(args.timeout_seconds, int(args.max_local_seconds - consumed)), - ) - solver_run = joint.synth.run_solver( - solver_name, - binary, - BOUND, - cnf_path, - output / "logs" / f"{branch_id}.log", - timeout, - args.resume, - ) - if solver_run["elapsed_seconds"] is not None: - consumed += float(solver_run["elapsed_seconds"]) - assignment = set(solver_run.pop("true_variables")) - branch_failure: str | None = None - if solver_run["status"] == "sat": - try: - program = joint.synth.decode_program(variables, assignment) - symbolic, compiled, compiled_verification = joint.verify_candidate( - program, table, BOUND - ) - except Exception as error: - branch_failure = f"SAT witness failed to compile: {error}" - else: - if ( - symbolic["verdict"] != "green" - or compiled_verification["verdict"] != "green" - ): - branch_failure = "SAT witness failed exhaustive restricted-domain replay" - else: - candidate = { - "bound": BOUND, - "removed_reference_shears": list(removed), - "free_insertion": insertion, - "solver": solver_name, - "program": program, - "symbolic_verification": symbolic, - "compiled_verification": compiled_verification, - "compiled_operations": compiled, - "compiled_operation_count": len(compiled), - "compiled_ccx": sum( - kind == "CCX" for kind, _, _, _ in compiled - ), - "rust_table": joint.synth.rust_table(compiled), - } - witness_path = output / "witnesses" / f"{branch_id}.json" - witness_path.write_bytes(canonical_json(candidate) + b"\n") - candidate["witness_path"] = str( - witness_path.relative_to(REPO_ROOT) - ) - candidate["witness_sha256"] = sha256_file(witness_path) - if branch_failure is not None: - failures.append(f"{branch_id}: {branch_failure}") - branches.append( - { - "id": branch_id, - "removed_reference_shears": list(removed), - "free_insertion": insertion, - "status": "instrument-failure" - if branch_failure is not None - else "sat" - if candidate is not None - else solver_run["status"], - "failure": branch_failure, - "cnf_path": str(cnf_path.relative_to(REPO_ROOT)), - "cnf_sha256": sha256_file(cnf_path), - "cnf_variables": cnf.nvars, - "cnf_clauses": len(cnf.clauses), - "solver_run": solver_run, - } - ) - if candidate is not None or branch_failure is not None: - break - if candidate is not None or failures or consumed >= args.max_local_seconds: - break - - total_branches = len(pairs) * BOUND - verdict = "red" if failures else "green" if candidate is not None else "yellow" - report: dict[str, Any] = { - "schema_version": 1, - "prediction_id": args.prediction_id, - "started_unix_ns": started_unix_ns, - "wall_seconds": time.monotonic() - started, - "local_cpu_seconds": consumed, - "verdict": verdict, - "failures": failures, - "search_class": "remove every pair of the nine reference shears, preserve the other seven in order, and insert one arbitrary generalized shear at every position", - "expected_branches": total_branches, - "branches_run": len(branches), - "status_counts": { - status: sum(branch["status"] == status for branch in branches) - for status in ("sat", "unsat", "timeout", "unknown", "instrument-failure") - }, - "branches": branches, - "candidate_found": candidate is not None, - "candidate": candidate, - "solver_version": solver_version(binary), - "source_path": str(Path(__file__).resolve().relative_to(REPO_ROOT)), - "source_sha256": sha256_file(Path(__file__).resolve()), - "completeness_contract": { - "all_288_rebases_settled": len(branches) == total_branches - and all(branch["status"] in {"sat", "unsat"} for branch in branches), - "restricted_domain_forward_inverse_replay": candidate is not None, - "output_map_explicitly_invertible": True, - "timeouts_are_not_lower_bounds": True, - }, - } - (output / "report.json").write_bytes(canonical_json(report) + b"\n") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--prediction-id", default="PRED-Y5-JOINT-CODEC-SYNTH-V4") - parser.add_argument("--solver", default="cryptominisat5") - parser.add_argument("--timeout-seconds", type=int, default=5) - parser.add_argument("--max-local-seconds", type=float, default=600.0) - parser.add_argument("--resume", action="store_true") - args = parser.parse_args() - report = run(args) - print(json.dumps(report, sort_keys=True, indent=2)) - return 1 if report["verdict"] == "red" else 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y5_normalizer_synth.py b/src/point_add/memory/repro/y5_normalizer_synth.py deleted file mode 100755 index 1c649671..00000000 --- a/src/point_add/memory/repro/y5_normalizer_synth.py +++ /dev/null @@ -1,823 +0,0 @@ -#!/usr/bin/env python3 -"""Exact no-ancilla affine/Toffoli synthesis for the five-wire dialog normalizer.""" - -from __future__ import annotations - -import argparse -import concurrent.futures -import hashlib -import json -import re -import shutil -import time -from dataclasses import dataclass -from pathlib import Path -from typing import Any - -from y1_composite_synth import ( - Cnf, - canonical_json, - run_solver, - sha256_file, - solver_version, -) - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -SOURCE_PATH = REPO_ROOT / "src/point_add/trailmix_ludicrous/codec.rs" -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y5-normalizer-synth-v1" -WIDTH = 5 -REFERENCE_CCX_COUNT = 6 -INVOCATIONS = 344 -WIRE_OFFSET = 6 -PAIR25_INPUTS = (0, 1, 2, 3, 5, 7, 8, 10, 11, 12, 14, 16, 17, 18, 19, 20, 22, 24, 25, 26, 27, 28, 29, 30, 31) - -Gate = tuple[str, int, int, int] - - -@dataclass -class ShearVariables: - enabled: int - left: list[int] - right: list[int] - direction: list[int] - - -@dataclass -class SynthesisVariables: - shears: list[ShearVariables] - outputs: list[list[int]] - - -def load_reference_ops(path: Path = SOURCE_PATH) -> list[Gate]: - source = path.read_text(encoding="utf-8") - match = re.search( - r"const NORMALIZER_OPS:.*?=\s*&\[(.*?)\];", - source, - flags=re.DOTALL, - ) - if match is None: - raise RuntimeError(f"NORMALIZER_OPS not found in {path}") - tuples = re.findall( - r"\(\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*\)", - match.group(1), - ) - operations: list[Gate] = [] - kinds = {0: "X", 1: "CX", 2: "CCX"} - for raw_kind, raw_a, raw_b, raw_c in tuples: - kind = int(raw_kind) - if kind not in kinds: - raise ValueError(f"unknown NORMALIZER_OPS kind {kind}") - values = [int(raw_a), int(raw_b), int(raw_c)] - for index in range(1 if kind == 0 else 2 if kind == 1 else 3): - if values[index] not in range(WIRE_OFFSET, WIRE_OFFSET + WIDTH): - raise ValueError(f"normalizer wire out of range: {values[index]}") - values[index] -= WIRE_OFFSET - operations.append((kinds[kind], values[0], values[1], values[2])) - if len(operations) != 104: - raise ValueError(f"expected 104 normalizer operations, found {len(operations)}") - if sum(kind == "CCX" for kind, _, _, _ in operations) != REFERENCE_CCX_COUNT: - raise ValueError("normalizer reference CCX count changed") - return operations - - -def simulate_operations(value: int, operations: list[Gate]) -> int: - bits = [(value >> index) & 1 for index in range(WIDTH)] - for kind, first, second, third in operations: - if kind == "X": - bits[first] ^= 1 - elif kind == "CX": - bits[second] ^= bits[first] - elif kind == "CCX": - bits[third] ^= bits[first] & bits[second] - else: - raise ValueError(f"unknown operation {kind}") - return sum(bit << index for index, bit in enumerate(bits)) - - -def reference_table(operations: list[Gate] | None = None) -> list[int]: - ops = operations if operations is not None else load_reference_ops() - table = [simulate_operations(value, ops) for value in range(1 << WIDTH)] - if len(set(table)) != len(table): - raise ValueError("NORMALIZER_OPS does not define a permutation") - return table - - -def output_anfs(table: list[int]) -> list[list[int]]: - anfs: list[list[int]] = [] - for output_index in range(WIDTH): - coefficients = [(value >> output_index) & 1 for value in table] - for bit in range(WIDTH): - for mask in range(1 << WIDTH): - if mask & (1 << bit): - coefficients[mask] ^= coefficients[mask ^ (1 << bit)] - anfs.append([mask for mask, coefficient in enumerate(coefficients) if coefficient]) - return anfs - - -def anf_report(table: list[int]) -> dict[str, Any]: - anfs = output_anfs(table) - degrees = [max((mask.bit_count() for mask in output), default=0) for output in anfs] - max_degree = max(degrees) - degree_lower_bound = 0 - reachable_degree = 1 - while reachable_degree < max_degree: - degree_lower_bound += 1 - reachable_degree *= 2 - return { - "output_monomials": anfs, - "output_degrees": degrees, - "max_degree": max_degree, - "degree_only_ccx_lower_bound": degree_lower_bound, - } - - -def xor_variable(cnf: Cnf, terms: list[int]) -> int: - if not terms: - output = cnf.variable() - cnf.clause(-output) - return output - accumulator = terms[0] - for term in terms[1:]: - output = cnf.variable() - cnf.equivalence_xor(output, accumulator, term) - accumulator = output - return accumulator - - -def affine_value(cnf: Cnf, coefficients: list[int], state: list[int]) -> int: - terms = [coefficients[0]] - for coefficient, signal in zip(coefficients[1:], state): - product = cnf.variable() - cnf.equivalence_and(product, coefficient, signal) - terms.append(product) - return xor_variable(cnf, terms) - - -def constrain_gate_shape(cnf: Cnf, shear: ShearVariables) -> None: - enabled = shear.enabled - parameters = [*shear.left, *shear.right, *shear.direction] - for parameter in parameters: - cnf.clause(enabled, -parameter) - - cnf.clause(-enabled, *shear.left[1:]) - cnf.clause(-enabled, *shear.right[1:]) - cnf.clause(-enabled, *shear.direction) - - differences: list[int] = [] - for left, right in zip(shear.left[1:], shear.right[1:]): - difference = cnf.variable() - cnf.equivalence_xor(difference, left, right) - differences.append(difference) - cnf.clause(-enabled, *differences) - - # The control product is commutative. Fix the nonconstant coefficient - # vectors in numeric order to remove the left/right SAT symmetry. - for left_value in range(1, 1 << WIDTH): - for right_value in range(1, left_value): - forbidden = [ - -variable if (value >> index) & 1 else variable - for variables, value in ( - (shear.left[1:], left_value), - (shear.right[1:], right_value), - ) - for index, variable in enumerate(variables) - ] - cnf.clause(-enabled, *forbidden) - - for coefficients in (shear.left[1:], shear.right[1:]): - products: list[int] = [] - for coefficient, direction in zip(coefficients, shear.direction): - product = cnf.variable() - cnf.equivalence_and(product, coefficient, direction) - products.append(product) - dot = xor_variable(cnf, products) - cnf.clause(-enabled, -dot) - - -def constrain_invertible_output(cnf: Cnf, outputs: list[list[int]]) -> None: - inverse = [[cnf.variable() for _ in range(WIDTH)] for _ in range(WIDTH)] - for row in range(WIDTH): - for column in range(WIDTH): - products: list[int] = [] - for inner in range(WIDTH): - product = cnf.variable() - cnf.equivalence_and(product, outputs[row][inner + 1], inverse[inner][column]) - products.append(product) - value = xor_variable(cnf, products) - cnf.clause(value if row == column else -value) - - -def build_problem( - max_ccx: int, inputs: list[int] | None = None, exact: bool = False -) -> tuple[Cnf, SynthesisVariables, list[int]]: - if max_ccx < 0: - raise ValueError("max_ccx must be non-negative") - table = reference_table() - domain = inputs if inputs is not None else list(range(1 << WIDTH)) - cnf = Cnf() - shears: list[ShearVariables] = [] - for gate_index in range(max_ccx): - shear = ShearVariables( - enabled=cnf.variable(), - left=[cnf.variable() for _ in range(WIDTH + 1)], - right=[cnf.variable() for _ in range(WIDTH + 1)], - direction=[cnf.variable() for _ in range(WIDTH)], - ) - constrain_gate_shape(cnf, shear) - if gate_index: - cnf.clause(-shear.enabled, shears[-1].enabled) - if exact: - cnf.clause(shear.enabled) - shears.append(shear) - - states: list[list[int]] = [] - for input_value in domain: - initial: list[int] = [] - for index in range(WIDTH): - signal = cnf.variable() - cnf.clause(signal if (input_value >> index) & 1 else -signal) - initial.append(signal) - states.append(initial) - - for shear in shears: - next_states: list[list[int]] = [] - for state in states: - left = affine_value(cnf, shear.left, state) - right = affine_value(cnf, shear.right, state) - product = cnf.variable() - cnf.equivalence_and(product, left, right) - next_state: list[int] = [] - for current, direction in zip(state, shear.direction): - directed = cnf.variable() - cnf.equivalence_and(directed, direction, product) - active = cnf.variable() - cnf.equivalence_and(active, shear.enabled, directed) - updated = cnf.variable() - cnf.equivalence_xor(updated, current, active) - next_state.append(updated) - next_states.append(next_state) - states = next_states - - outputs = [[cnf.variable() for _ in range(WIDTH + 1)] for _ in range(WIDTH)] - constrain_invertible_output(cnf, outputs) - for input_value, state in zip(domain, states): - expected = table[input_value] - for output_index, coefficients in enumerate(outputs): - observed = affine_value(cnf, coefficients, state) - cnf.clause(observed if (expected >> output_index) & 1 else -observed) - - return cnf, SynthesisVariables(shears=shears, outputs=outputs), table - - -def bits(variable_ids: list[int], assignment: set[int]) -> list[int]: - return [int(variable in assignment) for variable in variable_ids] - - -def decode_program(variables: SynthesisVariables, assignment: set[int]) -> dict[str, Any]: - shears = [ - { - "enabled": int(shear.enabled in assignment), - "left": bits(shear.left, assignment), - "right": bits(shear.right, assignment), - "direction": bits(shear.direction, assignment), - } - for shear in variables.shears - ] - outputs = [bits(coefficients, assignment) for coefficients in variables.outputs] - return {"width": WIDTH, "shears": shears, "outputs": outputs} - - -def affine_bit(coefficients: list[int], state: list[int]) -> int: - value = coefficients[0] - for coefficient, signal in zip(coefficients[1:], state): - value ^= coefficient & signal - return value - - -def evaluate_program(program: dict[str, Any], input_value: int) -> int: - state = [(input_value >> index) & 1 for index in range(WIDTH)] - for shear in program["shears"]: - if not shear["enabled"]: - continue - left = affine_bit(shear["left"], state) - right = affine_bit(shear["right"], state) - if left & right: - state = [ - value ^ direction - for value, direction in zip(state, shear["direction"]) - ] - output = [affine_bit(coefficients, state) for coefficients in program["outputs"]] - return sum(value << index for index, value in enumerate(output)) - - -def vector(coefficients: list[int]) -> int: - return sum(value << index for index, value in enumerate(coefficients)) - - -def dot(left: int, right: int) -> int: - return (left & right).bit_count() & 1 - - -def matrix_rank(rows: list[int], width: int | None = None) -> int: - width = WIDTH if width is None else width - work = rows.copy() - rank = 0 - for column in range(width): - pivot = next((row for row in range(rank, len(work)) if work[row] & (1 << column)), None) - if pivot is None: - continue - work[rank], work[pivot] = work[pivot], work[rank] - for row in range(len(work)): - if row != rank and work[row] & (1 << column): - work[row] ^= work[rank] - rank += 1 - return rank - - -def verify_program( - program: dict[str, Any], table: list[int], inputs: list[int] | None = None -) -> dict[str, Any]: - failures: list[dict[str, Any]] = [] - enabled_count = 0 - for index, shear in enumerate(program["shears"]): - if not shear["enabled"]: - continue - enabled_count += 1 - left = vector(shear["left"][1:]) - right = vector(shear["right"][1:]) - direction = vector(shear["direction"]) - valid = ( - left != 0 - and right != 0 - and left != right - and direction != 0 - and dot(left, direction) == 0 - and dot(right, direction) == 0 - ) - if not valid: - failures.append({"kind": "invalid-shear", "index": index}) - for index in range(1, len(program["shears"])): - if program["shears"][index]["enabled"] and not program["shears"][index - 1]["enabled"]: - failures.append({"kind": "non-prefix-enable", "index": index}) - domain = inputs if inputs is not None else list(range(len(table))) - for input_value in domain: - expected = table[input_value] - observed = evaluate_program(program, input_value) - if observed != expected: - failures.append( - { - "kind": "truth-table-mismatch", - "input": input_value, - "expected": expected, - "observed": observed, - } - ) - return { - "verdict": "green" if not failures else "red", - "failures": failures, - "inputs": len(domain), - "enabled_ccx": enabled_count, - } - - -def invert_matrix(rows: list[int], width: int | None = None) -> list[int]: - width = WIDTH if width is None else width - augmented = [row | (1 << (width + index)) for index, row in enumerate(rows)] - for column in range(width): - pivot = next((row for row in range(column, width) if augmented[row] & (1 << column)), None) - if pivot is None: - raise ValueError("matrix is singular") - augmented[column], augmented[pivot] = augmented[pivot], augmented[column] - for row in range(width): - if row != column and augmented[row] & (1 << column): - augmented[row] ^= augmented[column] - mask = (1 << width) - 1 - if [row & mask for row in augmented] != [1 << index for index in range(width)]: - raise AssertionError("matrix inversion failed") - return [(row >> width) & mask for row in augmented] - - -def apply_linear_gate(rows: list[int], operation: Gate) -> None: - kind, control, target, _ = operation - if kind != "CX": - raise ValueError("linear elimination only accepts CX") - rows[target] ^= rows[control] - - -def linear_operations(matrix: list[int]) -> list[Gate]: - if matrix_rank(matrix) != WIDTH: - raise ValueError("linear output matrix is singular") - work = matrix.copy() - elimination: list[Gate] = [] - for column in range(WIDTH): - pivot = next(row for row in range(column, WIDTH) if work[row] & (1 << column)) - if pivot != column: - swap = [ - ("CX", column, pivot, 0), - ("CX", pivot, column, 0), - ("CX", column, pivot, 0), - ] - for operation in swap: - apply_linear_gate(work, operation) - elimination.append(operation) - for row in range(WIDTH): - if row != column and work[row] & (1 << column): - operation = ("CX", column, row, 0) - apply_linear_gate(work, operation) - elimination.append(operation) - if work != [1 << index for index in range(WIDTH)]: - raise AssertionError("linear elimination did not reach identity") - return list(reversed(elimination)) - - -def affine_operations(matrix: list[int], offset: int) -> list[Gate]: - operations = linear_operations(matrix) - operations.extend( - ("X", index, 0, 0) for index in range(WIDTH) if offset & (1 << index) - ) - return operations - - -def shear_basis(left: int, right: int, direction: int) -> list[int]: - if ( - left == 0 - or right == 0 - or left == right - or direction == 0 - or dot(left, direction) - or dot(right, direction) - ): - raise ValueError("invalid generalized shear") - rows = [left, right] - target_row = next( - candidate - for candidate in range(1, 1 << WIDTH) - if dot(candidate, direction) == 1 and matrix_rank([*rows, candidate]) == 3 - ) - rows.append(target_row) - for candidate in range(1, 1 << WIDTH): - if dot(candidate, direction) == 0 and matrix_rank([*rows, candidate]) > len(rows): - rows.append(candidate) - if len(rows) == WIDTH: - break - if len(rows) != WIDTH or matrix_rank(rows) != WIDTH: - raise AssertionError("failed to complete generalized shear basis") - image = sum(dot(row, direction) << index for index, row in enumerate(rows)) - if image != 1 << 2: - raise AssertionError("generalized shear direction did not map to target wire") - return rows - - -def compile_program(program: dict[str, Any]) -> list[Gate]: - operations: list[Gate] = [] - for shear in program["shears"]: - if not shear["enabled"]: - continue - left = vector(shear["left"][1:]) - right = vector(shear["right"][1:]) - direction = vector(shear["direction"]) - matrix = shear_basis(left, right, direction) - offset = shear["left"][0] | (shear["right"][0] << 1) - transform = affine_operations(matrix, offset) - operations.extend(transform) - operations.append(("CCX", 0, 1, 2)) - operations.extend(reversed(transform)) - output_matrix = [vector(coefficients[1:]) for coefficients in program["outputs"]] - output_offset = sum( - coefficients[0] << index for index, coefficients in enumerate(program["outputs"]) - ) - operations.extend(affine_operations(output_matrix, output_offset)) - return operations - - -def verify_compiled( - operations: list[Gate], table: list[int], inputs: list[int] | None = None -) -> dict[str, Any]: - failures: list[dict[str, Any]] = [] - inverse = list(reversed(operations)) - domain = inputs if inputs is not None else list(range(len(table))) - for input_value in domain: - expected = table[input_value] - observed = simulate_operations(input_value, operations) - if observed != expected: - failures.append( - {"kind": "forward", "input": input_value, "expected": expected, "observed": observed} - ) - restored = simulate_operations(expected, inverse) - if restored != input_value: - failures.append( - {"kind": "reverse", "input": input_value, "expected": input_value, "observed": restored} - ) - return { - "verdict": "green" if not failures else "red", - "failures": failures, - "operations": len(operations), - "ccx": sum(kind == "CCX" for kind, _, _, _ in operations), - } - - -def reference_program(operations: list[Gate]) -> dict[str, Any]: - matrix = [1 << index for index in range(WIDTH)] - offset = 0 - shears: list[dict[str, Any]] = [] - for kind, first, second, third in operations: - if kind == "X": - offset ^= 1 << first - elif kind == "CX": - matrix[second] ^= matrix[first] - if offset & (1 << first): - offset ^= 1 << second - elif kind == "CCX": - inverse = invert_matrix(matrix) - direction = sum(((inverse[row] >> third) & 1) << row for row in range(WIDTH)) - left = [(offset >> first) & 1, *[(matrix[first] >> bit) & 1 for bit in range(WIDTH)]] - right = [(offset >> second) & 1, *[(matrix[second] >> bit) & 1 for bit in range(WIDTH)]] - if vector(left[1:]) > vector(right[1:]): - left, right = right, left - shears.append( - { - "enabled": 1, - "left": left, - "right": right, - "direction": [(direction >> bit) & 1 for bit in range(WIDTH)], - } - ) - else: - raise ValueError(f"unknown operation {kind}") - outputs = [ - [(offset >> row) & 1, *[(matrix[row] >> bit) & 1 for bit in range(WIDTH)]] - for row in range(WIDTH) - ] - return {"width": WIDTH, "shears": shears, "outputs": outputs} - - -def rust_table(operations: list[Gate]) -> str: - tuples: list[str] = [] - for kind, first, second, third in operations: - if kind == "X": - tuples.append(f"(0,{first + WIRE_OFFSET},0,0)") - elif kind == "CX": - tuples.append(f"(1,{first + WIRE_OFFSET},{second + WIRE_OFFSET},0)") - elif kind == "CCX": - tuples.append( - f"(2,{first + WIRE_OFFSET},{second + WIRE_OFFSET},{third + WIRE_OFFSET})" - ) - else: - raise ValueError(f"unknown operation {kind}") - lines = [", ".join(tuples[index : index + 8]) for index in range(0, len(tuples), 8)] - return "\n".join(f" {line}," for line in lines) - - -def run(args: argparse.Namespace) -> dict[str, Any]: - started_unix_ns = time.time_ns() - started = time.monotonic() - output = args.output.resolve() - cnf_dir = output / "cnf" - log_dir = output / "logs" - witness_dir = output / "witnesses" - for directory in (output, cnf_dir, log_dir, witness_dir): - directory.mkdir(parents=True, exist_ok=True) - - reference_ops = load_reference_ops() - table = reference_table(reference_ops) - synthesis_inputs = ( - list(PAIR25_INPUTS) - if args.domain == "pair25" - else list(range(1 << WIDTH)) - ) - if args.domain == "pair25": - outputs = [table[input_value] for input_value in synthesis_inputs] - if len(set(synthesis_inputs)) != 25 or sorted(outputs) != list(range(25)): - raise RuntimeError("pair25 domain must map bijectively onto canonical values 0..24") - decomposed = reference_program(reference_ops) - decomposed_verification = verify_program(decomposed, table) - compiled_reference = compile_program(decomposed) - compiled_reference_verification = verify_compiled(compiled_reference, table) - if decomposed_verification["verdict"] != "green": - raise RuntimeError("reference affine-conjugation decomposition failed") - if compiled_reference_verification["verdict"] != "green": - raise RuntimeError("reference generalized-shear recompilation failed") - - solvers: dict[str, str] = {} - for name in ("kissat", "cadical"): - binary = shutil.which(name) - if binary is None: - raise RuntimeError(f"required solver not found: {name}") - solvers[name] = binary - - bounds = [args.max_ccx, REFERENCE_CCX_COUNT] - if args.max_ccx >= REFERENCE_CCX_COUNT: - raise ValueError(f"--max-ccx must be below reference count {REFERENCE_CCX_COUNT}") - search_mode = "exact" if args.exact_ccx else "at-most" - problems: dict[int, tuple[Cnf, SynthesisVariables, list[int]]] = {} - cnf_metadata: list[dict[str, Any]] = [] - for bound in bounds: - problem = build_problem(bound, synthesis_inputs, exact=args.exact_ccx) - problems[bound] = problem - cnf, _, _ = problem - path = cnf_dir / f"normalizer-{search_mode}-{bound}-ccx.cnf" - cnf.write( - path, - [ - "five-wire NORMALIZER_OPS exact affine-conjugated Toffoli synthesis", - f"{search_mode}_ccx={bound}", - f"domain={args.domain}; inputs={len(synthesis_inputs)}; arbitrary final invertible affine map inferred from constrained mapping", - "enabled generalized shear x <- x + c*(a.x+a0)*(b.x+b0)", - ], - ) - cnf_metadata.append( - { - "at_most_ccx": bound, - "search_mode": search_mode, - "path": str(path.relative_to(REPO_ROOT)), - "sha256": sha256_file(path), - "variables": cnf.nvars, - "clauses": len(cnf.clauses), - } - ) - - work: list[tuple[str, str, int, Path, Path, int, bool]] = [] - for bound in bounds: - cnf_path = cnf_dir / f"normalizer-{search_mode}-{bound}-ccx.cnf" - for solver_name, binary in solvers.items(): - work.append( - ( - solver_name, - binary, - bound, - cnf_path, - log_dir / f"{solver_name}-{search_mode}-{bound}.log", - args.timeout_seconds, - args.resume, - ) - ) - with concurrent.futures.ThreadPoolExecutor(max_workers=len(solvers)) as executor: - solver_runs = list(executor.map(lambda item: run_solver(*item), work)) - - errors: list[str] = [] - public_runs: list[dict[str, Any]] = [] - statuses: dict[int, dict[str, str]] = {bound: {} for bound in bounds} - verified_candidates: list[dict[str, Any]] = [] - for solver_run in solver_runs: - assignment = set(solver_run.pop("true_variables")) - bound = solver_run["and_gates"] - solver_name = solver_run["solver"] - solver_run["at_most_ccx"] = solver_run.pop("and_gates") - statuses[bound][solver_name] = solver_run["status"] - verification: dict[str, Any] | None = None - compiled_verification: dict[str, Any] | None = None - witness_path: str | None = None - witness_sha256: str | None = None - if solver_run["status"] == "sat": - _, variables, target = problems[bound] - program = decode_program(variables, assignment) - verification = verify_program(program, target, synthesis_inputs) - compiled = compile_program(program) if verification["verdict"] == "green" else [] - compiled_verification = ( - verify_compiled(compiled, target, synthesis_inputs) if compiled else None - ) - witness = { - "schema_version": 1, - "solver": solver_name, - "at_most_ccx": bound, - "program": program, - "verification": verification, - "compiled_operations": compiled, - "compiled_verification": compiled_verification, - "rust_table": rust_table(compiled) if compiled else None, - } - path = witness_dir / f"{solver_name}-at-most-{bound}.json" - path.write_text(json.dumps(witness, sort_keys=True, indent=2) + "\n") - witness_path = str(path.relative_to(REPO_ROOT)) - witness_sha256 = sha256_file(path) - if verification["verdict"] != "green": - errors.append(f"{solver_name} bound {bound}: model failed exhaustive replay") - elif compiled_verification is None or compiled_verification["verdict"] != "green": - errors.append(f"{solver_name} bound {bound}: compiled circuit failed replay") - elif bound == args.max_ccx: - verified_candidates.append(witness) - if solver_run["status"] not in {"sat", "unsat"}: - errors.append(f"{solver_name} bound {bound}: {solver_run['status']}") - if not solver_run["returncode_expected"]: - errors.append(f"{solver_name} bound {bound}: unexpected solver return code") - public_runs.append( - { - **solver_run, - "verification": verification, - "compiled_verification": compiled_verification, - "witness_path": witness_path, - "witness_sha256": witness_sha256, - } - ) - - for bound in bounds: - observed = set(statuses[bound].values()) - if len(observed) != 1: - errors.append(f"solver disagreement at bound {bound}: {statuses[bound]}") - if any(statuses[REFERENCE_CCX_COUNT].get(name) != "sat" for name in solvers): - errors.append("reference six-CCX upper bound was not SAT for both solvers") - - candidate: dict[str, Any] | None = None - if verified_candidates: - candidate = min( - verified_candidates, - key=lambda witness: ( - witness["compiled_verification"]["ccx"], - witness["compiled_verification"]["operations"], - witness["solver"], - ), - ) - candidate_ccx = ( - candidate["compiled_verification"]["ccx"] if candidate is not None else None - ) - exact_minimum = ( - REFERENCE_CCX_COUNT - if all(statuses[args.max_ccx].get(name) == "unsat" for name in solvers) - else None - ) - saving_per_invocation = ( - REFERENCE_CCX_COUNT - candidate_ccx if candidate_ccx is not None else 0 - ) - - report: dict[str, Any] = { - "schema_version": 1, - "scope": "Y5 five-wire NORMALIZER_OPS exact no-ancilla affine/Toffoli synthesis", - "search_mode": search_mode, - "pair25_lower_bound": ( - { - "minimum_ccx": 5, - "proof": "exhaustive affine-span quotient search found no path of length zero through four", - } - if args.domain == "pair25" and args.exact_ccx and args.max_ccx == 5 - else None - ), - "prediction_id": args.prediction_id, - "source_path": str(SOURCE_PATH.relative_to(REPO_ROOT)), - "source_sha256": sha256_file(SOURCE_PATH), - "reference": { - "operations": len(reference_ops), - "ccx": REFERENCE_CCX_COUNT, - "truth_table": table, - "synthesis_domain": args.domain, - "synthesis_inputs": synthesis_inputs, - "synthesis_outputs": [table[input_value] for input_value in synthesis_inputs], - "anf": anf_report(table), - "generalized_shear_decomposition": decomposed_verification, - "generalized_shear_recompile": compiled_reference_verification, - }, - "completeness_contract": { - "statement": "Every same-wire affine+CCX circuit with k CCX pushes its affine gates to the output and conjugates each CCX into one encoded reversible generalized shear.", - "shear_conditions": [ - "c != 0", - "linear(a) != 0", - "linear(b) != 0", - "linear(a) != linear(b)", - "a(c) = b(c) = 0", - ], - "reference_round_trip_verified": True, - }, - "max_candidate_ccx": args.max_ccx, - "cnfs": cnf_metadata, - "solver_versions": {name: solver_version(binary) for name, binary in solvers.items()}, - "solver_runs": sorted(public_runs, key=lambda row: (row["at_most_ccx"], row["solver"])), - "statuses": statuses, - "exact_minimum_ccx": exact_minimum, - "candidate_found": candidate is not None, - "candidate_solver": candidate["solver"] if candidate is not None else None, - "candidate_ccx": candidate_ccx, - "candidate_compiled_operations": ( - candidate["compiled_verification"]["operations"] if candidate is not None else None - ), - "repeated_invocations": INVOCATIONS, - "predicted_executed_toffoli_saving": saving_per_invocation * INVOCATIONS, - "predicted_score_saving_at_q1154": saving_per_invocation * INVOCATIONS * 1154, - "errors": errors, - "started_unix_ns": started_unix_ns, - "recorded_unix_ns": time.time_ns(), - "wall_seconds": time.monotonic() - started, - "verdict": "green" if not errors else "red", - } - report["report_sha256"] = hashlib.sha256(canonical_json(report)).hexdigest() - report_path = output / "report.json" - report_path.write_text(json.dumps(report, sort_keys=True, indent=2) + "\n") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--max-ccx", type=int, default=5) - parser.add_argument("--domain", choices=("full32", "pair25"), default="full32") - parser.add_argument("--exact-ccx", action="store_true") - parser.add_argument("--timeout-seconds", type=int, default=600) - parser.add_argument("--prediction-id", default="PRED-Y5-NORMALIZER-SYNTH-V1") - parser.add_argument("--resume", action="store_true") - args = parser.parse_args() - report = run(args) - print(json.dumps(report, sort_keys=True, indent=2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y5_pair25_quotient.py b/src/point_add/memory/repro/y5_pair25_quotient.py deleted file mode 100755 index 0d95f112..00000000 --- a/src/point_add/memory/repro/y5_pair25_quotient.py +++ /dev/null @@ -1,276 +0,0 @@ -#!/usr/bin/env python3 -"""Exhaustive affine-quotient lower bound for the pair25 normalizer domain.""" - -from __future__ import annotations - -import argparse -import hashlib -import json -import time -from pathlib import Path -from typing import Iterable - -import y5_normalizer_synth as synth - -RESEARCH_DIR = Path(__file__).resolve().parent -REPO_ROOT = RESEARCH_DIR.parents[3] -DEFAULT_OUTPUT = REPO_ROOT / ".autoresearch/measurements/y5-pair25-quotient-v1/report.json" -VALID_SYMBOLS = (0b001, 0b011, 0b100, 0b101, 0b111) -WIDTH = 5 - - -def compress_pair(first: int, second: int) -> int: - """Classically replay compress_2sym_fast through its proven clear_and.""" - value = first | (second << 3) - - def bit(index: int) -> int: - return (value >> index) & 1 - - value ^= 1 << 3 - value ^= bit(5) << 1 - value ^= bit(4) - value ^= 1 << 2 - value ^= (bit(1) & bit(3)) << 5 - value ^= bit(3) << 5 - value ^= bit(3) - value ^= bit(1) << 5 - value ^= bit(5) << 3 - value ^= (bit(5) & bit(0)) << 4 - if bit(5) != (bit(3) & bit(4)): - raise AssertionError("compress_2sym_fast clear_and precondition failed") - value &= ~(1 << 5) - return value & ((1 << WIDTH) - 1) - - -def canonical_span(vectors: Iterable[int]) -> tuple[int, ...]: - """Canonical reduced XOR basis of sample-column bit vectors.""" - basis: dict[int, int] = {} - for raw in vectors: - value = int(raw) - for pivot in sorted(basis, reverse=True): - if (value >> pivot) & 1: - value ^= basis[pivot] - if value == 0: - continue - pivot = value.bit_length() - 1 - for other, row in list(basis.items()): - if (row >> pivot) & 1: - basis[other] = row ^ value - basis[pivot] = value - return tuple(basis[pivot] for pivot in sorted(basis, reverse=True)) - - -def coordinate_masks(key: tuple[int, ...], constant: int) -> list[int]: - chosen = [constant] - rank = 1 - for row in key: - candidate = canonical_span([*chosen, row]) - if len(candidate) > rank: - chosen.append(row) - rank += 1 - if rank == WIDTH + 1: - break - if rank != WIDTH + 1: - raise ValueError(f"expected affine rank {WIDTH + 1}, found {rank}") - return chosen[1:] - - -def neighbor_spans(key: tuple[int, ...], constant: int) -> set[tuple[int, ...]]: - """Enumerate one affine-conjugated CCX move modulo free affine output.""" - coordinates = coordinate_masks(key, constant) - linear = [0] * (1 << WIDTH) - for form in range(1, 1 << WIDTH): - value = 0 - for bit_index, coordinate in enumerate(coordinates): - if (form >> bit_index) & 1: - value ^= coordinate - linear[form] = value - - neighbors: set[tuple[int, ...]] = set() - for direction in range(1, 1 << WIDTH): - invariant_forms = [ - form - for form in range(1, 1 << WIDTH) - if (form & direction).bit_count() % 2 == 0 - ] - hyperplane_basis: list[int] = [] - for form in invariant_forms: - if synth.matrix_rank([*hyperplane_basis, form], WIDTH) > len(hyperplane_basis): - hyperplane_basis.append(form) - if len(hyperplane_basis) == WIDTH - 1: - break - transverse = next( - form - for form in range(1, 1 << WIDTH) - if (form & direction).bit_count() % 2 == 1 - ) - - products: set[int] = set() - for left_index, left in enumerate(invariant_forms): - for right in invariant_forms[left_index + 1 :]: - for left_constant in (0, 1): - left_mask = linear[left] ^ (constant if left_constant else 0) - for right_constant in (0, 1): - right_mask = linear[right] ^ (constant if right_constant else 0) - products.add(left_mask & right_mask) - - fixed = [constant, *[linear[form] for form in hyperplane_basis]] - transverse_mask = linear[transverse] - for product in products: - neighbors.add(canonical_span([*fixed, transverse_mask ^ product])) - return neighbors - - -def pack_key(key: tuple[int, ...]) -> bytes: - if len(key) != WIDTH + 1 or any(value >= 1 << 32 for value in key): - raise ValueError("pair25 span key does not fit six u32 words") - return b"".join(value.to_bytes(4, "little") for value in key) - - -def frontier_sha256(frontier: set[bytes]) -> str: - digest = hashlib.sha256() - for key in sorted(frontier): - digest.update(key) - return digest.hexdigest() - - -def write_frontier(path: Path, frontier: set[bytes]) -> None: - path.parent.mkdir(parents=True, exist_ok=True) - with path.open("wb") as output: - for key in sorted(frontier): - output.write(key) - - -def run(output: Path, frontier_dir: Path | None = None) -> dict[str, object]: - started_ns = time.time_ns() - started = time.monotonic() - pair_states = [ - compress_pair(first, second) - for first in VALID_SYMBOLS - for second in VALID_SYMBOLS - ] - if len(set(pair_states)) != 25: - raise RuntimeError("valid symbol pairs did not produce 25 distinct normalizer inputs") - if tuple(sorted(pair_states)) != synth.PAIR25_INPUTS: - raise RuntimeError("derived pair25 domain disagrees with the synthesis contract") - - table = synth.reference_table() - pair_outputs = [table[value] for value in pair_states] - if sorted(pair_outputs) != list(range(25)): - raise RuntimeError("pair25 normalizer outputs are not canonical values 0..24") - - sample_count = len(pair_states) - constant = (1 << sample_count) - 1 - input_masks = [ - sum(((value >> bit_index) & 1) << sample for sample, value in enumerate(pair_states)) - for bit_index in range(WIDTH) - ] - output_masks = [ - sum(((value >> bit_index) & 1) << sample for sample, value in enumerate(pair_outputs)) - for bit_index in range(WIDTH) - ] - input_key = canonical_span([constant, *input_masks]) - output_key = canonical_span([constant, *output_masks]) - if len(input_key) != WIDTH + 1 or len(output_key) != WIDTH + 1: - raise RuntimeError("input or output affine embedding is rank-deficient") - - input_depth1 = neighbor_spans(input_key, constant) - output_depth1 = neighbor_spans(output_key, constant) - shortest_path: int | None = 0 if input_key == output_key else None - if shortest_path is None and output_key in input_depth1: - shortest_path = 1 - if shortest_path is None and input_depth1.intersection(output_depth1): - shortest_path = 2 - - input_depth2: set[bytes] = set() - reverse_edge_failures = 0 - if shortest_path is None: - for middle in input_depth1: - neighbors = neighbor_spans(middle, constant) - if input_key not in neighbors: - reverse_edge_failures += 1 - for neighbor in neighbors: - input_depth2.add(pack_key(neighbor)) - if neighbor == output_key or neighbor in output_depth1: - shortest_path = 3 - break - if shortest_path is not None: - break - - output_depth2_edges_checked = 0 - output_depth2: set[bytes] = set() - output_reverse_edge_failures = 0 - if shortest_path is None: - for middle in output_depth1: - neighbors = neighbor_spans(middle, constant) - if output_key not in neighbors: - output_reverse_edge_failures += 1 - for neighbor in neighbors: - output_depth2_edges_checked += 1 - packed = pack_key(neighbor) - output_depth2.add(packed) - if packed in input_depth2: - shortest_path = 4 - - frontier_dir = output.parent if frontier_dir is None else frontier_dir - input_depth2_path = frontier_dir / "x-depth2.bin" - output_depth2_path = frontier_dir / "y-depth2.bin" - write_frontier(input_depth2_path, input_depth2) - write_frontier(output_depth2_path, output_depth2) - - report: dict[str, object] = { - "schema_version": 2, - "scope": "exact pair25 affine-output quotient under arbitrary affine-conjugated CCX gates", - "pair_inputs": pair_states, - "sorted_pair_inputs": sorted(pair_states), - "pair_outputs": pair_outputs, - "sorted_pair_outputs": sorted(pair_outputs), - "input_affine_rank": len(input_key), - "output_affine_rank": len(output_key), - "input_depth1_states": len(input_depth1), - "output_depth1_states": len(output_depth1), - "input_depth2_states": len(input_depth2), - "input_depth2_sha256": frontier_sha256(input_depth2), - "output_depth2_edges_checked": output_depth2_edges_checked, - "output_depth2_states": len(output_depth2), - "output_depth2_sha256": frontier_sha256(output_depth2), - "frontier_artifacts": { - "input_depth2": str(input_depth2_path.relative_to(REPO_ROOT)), - "output_depth2": str(output_depth2_path.relative_to(REPO_ROOT)), - }, - "reverse_edge_failures": reverse_edge_failures + output_reverse_edge_failures, - "shortest_path_at_most_four": shortest_path, - "minimum_ccx_lower_bound": 5 if shortest_path is None else shortest_path, - "completeness_contract": { - "state": "the six-dimensional affine function span of a labeled 25-point embedding", - "edge": "every nonzero direction, every unordered pair of independent invariant linear controls, and all four affine control constants", - "quotient": "two embeddings are identified iff related by an invertible affine output map", - "symmetry": "each generalized shear is an involution; every enumerated edge must be observed in reverse", - }, - "started_unix_ns": started_ns, - "recorded_unix_ns": time.time_ns(), - "wall_seconds": time.monotonic() - started, - "verdict": "green" if shortest_path is None and reverse_edge_failures == 0 and output_reverse_edge_failures == 0 else "red", - } - encoded = json.dumps(report, sort_keys=True, separators=(",", ":")).encode() - report["report_sha256"] = hashlib.sha256(encoded).hexdigest() - output.parent.mkdir(parents=True, exist_ok=True) - output.write_text(json.dumps(report, sort_keys=True, indent=2) + "\n", encoding="utf-8") - return report - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--output", type=Path, default=DEFAULT_OUTPUT) - parser.add_argument("--frontier-dir", type=Path) - args = parser.parse_args() - report = run( - args.output.resolve(), - None if args.frontier_dir is None else args.frontier_dir.resolve(), - ) - print(json.dumps(report, sort_keys=True, indent=2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/y6_source_invariant.py b/src/point_add/memory/repro/y6_source_invariant.py deleted file mode 100755 index b61593e5..00000000 --- a/src/point_add/memory/repro/y6_source_invariant.py +++ /dev/null @@ -1,459 +0,0 @@ -#!/usr/bin/env python3 -"""Prove one census downgrade as a source-stable Boolean invariant. - -The selected gate is the first no-carry-in gate of threaded-add call 0, bit 0. -The production stream currently identifies it through a global operand-tuple ordinal. -This instrument proves the stronger value invariant q1 => q769 for arbitrary quantum -and classical register inputs and arbitrary HMR outcomes, then repeats the proof after -an adjacent self-inverse CCX pair changes that tuple's global occupancy and ordinal. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -import re -import shutil -import struct -import subprocess -import tempfile -import time -from dataclasses import dataclass -from pathlib import Path -from typing import Iterable, Sequence - -import numpy as np - -from artifact_io import HEADER_BYTES, NO_QUBIT, RECORD_BYTES, decompress_record_body, read_header - -REPO_ROOT = Path(__file__).resolve().parents[4] -TARGET = (13, 1, 769, 768, NO_QUBIT) -TARGET_ORDINAL = 0 -TARGET_OCCUPANCY = 225 -TARGET_ACTION = 1 -SYMMETRIC_ORDINAL = 224 -SYMMETRIC_ACTION = 2 -CONTEXT_RADIUS = 8 -INPUT_QUBITS = 512 -INPUT_BITS = 512 -DTYPE = np.dtype( - [ - ("kind", " None: - if self.clauses is None: - self.clauses = [] - - def new(self) -> int: - self.variables += 1 - return self.variables - - def unit(self, literal: int) -> None: - assert self.clauses is not None - self.clauses.append([literal]) - - def and_gate(self, left: int, right: int) -> int: - out = self.new() - assert self.clauses is not None - self.clauses.extend(([-left, -right, out], [left, -out], [right, -out])) - return out - - def xor_gate(self, left: int, right: int) -> int: - out = self.new() - assert self.clauses is not None - self.clauses.extend( - ( - [-left, -right, -out], - [left, right, -out], - [left, -right, out], - [-left, right, out], - ) - ) - return out - - def mux(self, select: int, when_false: int, when_true: int) -> int: - difference = self.xor_gate(when_false, when_true) - selected_difference = self.and_gate(select, difference) - return self.xor_gate(when_false, selected_difference) - - -@dataclass(frozen=True) -class EncodedPrefix: - cnf: Cnf - qubits: dict[int, int] - bits: dict[int, int] - - -def sha256_file(path: Path) -> str: - digest = hashlib.sha256() - with path.open("rb") as source: - while chunk := source.read(8 * 1024 * 1024): - digest.update(chunk) - return digest.hexdigest() - - -def operation_tuple(row: np.void) -> tuple[int, int, int, int, int]: - return ( - int(row["kind"]), - int(row["q_control2"]), - int(row["q_control1"]), - int(row["q_target"]), - int(row["c_condition"]), - ) - - -def parse_key_table(path: Path) -> tuple[list[tuple[int, ...]], list[tuple[int, ...]]]: - text = path.read_text(encoding="utf-8") - dead_match = re.search(r"pub static DEAD_KEYS.*?= &\[(.*?)\];", text, re.DOTALL) - downgrade_match = re.search(r"pub static DOWNGRADE_KEYS.*?= &\[(.*?)\];", text, re.DOTALL) - if dead_match is None or downgrade_match is None: - raise ValueError("deep-strip key table declarations not found") - - def rows(block: str, width: int) -> list[tuple[int, ...]]: - parsed: list[tuple[int, ...]] = [] - for raw in re.findall(r"\(([^()]*)\)", block): - values = tuple(int(value.strip()) for value in raw.split(",") if value.strip()) - if len(values) == width: - parsed.append(values) - return parsed - - return rows(dead_match.group(1), 7), rows(downgrade_match.group(1), 8) - - -def verify_target_keys(dead: Sequence[tuple[int, ...]], downgrade: Sequence[tuple[int, ...]]) -> dict[str, object]: - first = (*TARGET, TARGET_ORDINAL, TARGET_OCCUPANCY, TARGET_ACTION) - symmetric = (*TARGET, SYMMETRIC_ORDINAL, TARGET_OCCUPANCY, SYMMETRIC_ACTION) - if first not in downgrade: - raise ValueError(f"selected downgrade key is absent: {first}") - if symmetric not in downgrade: - raise ValueError(f"symmetric downgrade key is absent: {symmetric}") - matching_dead = [row for row in dead if row[:5] == TARGET] - matching_downgrade = [row for row in downgrade if row[:5] == TARGET] - if matching_dead or matching_downgrade != [first, symmetric]: - raise ValueError("selected operand tuple has unexpected census classifications") - return { - "dead_keys": matching_dead, - "downgrade_keys": matching_downgrade, - "migration": { - "remove": first, - "rebase_remaining": (*TARGET, SYMMETRIC_ORDINAL - 1, TARGET_OCCUPANCY - 1, SYMMETRIC_ACTION), - }, - } - - -def verify_register_layout(records: np.ndarray) -> dict[str, list[int]]: - append = records[records["kind"] == 2] - register = records[records["kind"] == 1] - if len(register) != 4 or len(append) != 1024: - raise ValueError(f"expected four 256-element registers, got {len(register)} and {len(append)} append records") - no = NO_QUBIT - expected = { - "quantum_x": list(range(0, 256)), - "quantum_y": list(range(256, 512)), - "classical_x": list(range(0, 256)), - "classical_y": list(range(256, 512)), - } - observed = {name: [] for name in expected} - for row in append: - reg = int(row["r_target"]) - q_target = int(row["q_target"]) - c_target = int(row["c_target"]) - if reg == 0 and q_target != no: - observed["quantum_x"].append(q_target) - elif reg == 1 and q_target != no: - observed["quantum_y"].append(q_target) - elif reg == 2 and c_target != no: - observed["classical_x"].append(c_target) - elif reg == 3 and c_target != no: - observed["classical_y"].append(c_target) - else: - raise ValueError(f"unexpected register record {tuple(int(row[name]) for name in DTYPE.names)}") - if observed != expected: - raise ValueError("artifact register ABI is not q0..q511 / c0..c511") - return observed - - -def encode_prefix(records: Iterable[np.void]) -> EncodedPrefix: - cnf = Cnf() - true_var = cnf.new() - false_var = cnf.new() - cnf.unit(true_var) - cnf.unit(-false_var) - qubits = {index: cnf.new() for index in range(INPUT_QUBITS)} - bits = {index: cnf.new() for index in range(INPUT_BITS)} - - def qubit(index: int) -> int: - if index not in qubits: - qubits[index] = false_var - return qubits[index] - - def bit(index: int) -> int: - if index not in bits: - bits[index] = false_var - return bits[index] - - base_condition = true_var - condition_stack: list[int] = [] - ignored = {0, 1, 2, 7, 9, 14, 17} - - for index, row in enumerate(records): - kind = int(row["kind"]) - target = int(row["q_target"]) - control1 = int(row["q_control1"]) - control2 = int(row["q_control2"]) - classical_target = int(row["c_target"]) - classical_condition = int(row["c_condition"]) - condition = ( - base_condition - if classical_condition == NO_QUBIT - else cnf.and_gate(base_condition, bit(classical_condition)) - ) - - if kind == 6: # X - qubits[target] = cnf.xor_gate(qubit(target), condition) - elif kind == 8: # CX - effect = cnf.and_gate(condition, qubit(control1)) - qubits[target] = cnf.xor_gate(qubit(target), effect) - elif kind == 13: # CCX - controls = cnf.and_gate(qubit(control1), qubit(control2)) - effect = cnf.and_gate(condition, controls) - qubits[target] = cnf.xor_gate(qubit(target), effect) - elif kind == 10: # conditional swap - old_control = qubit(control1) - old_target = qubit(target) - difference = cnf.xor_gate(old_control, old_target) - effect = cnf.and_gate(condition, difference) - qubits[control1] = cnf.xor_gate(old_control, effect) - qubits[target] = cnf.xor_gate(old_target, effect) - elif kind in (11, 12): # R / HMR reset the qubit under the condition - qubits[target] = cnf.mux(condition, qubit(target), false_var) - if kind == 12: - random_measurement = cnf.new() # arbitrary HMR outcome - bits[classical_target] = cnf.mux(condition, bit(classical_target), random_measurement) - elif kind == 3: # BIT_INVERT - bits[classical_target] = cnf.xor_gate(bit(classical_target), condition) - elif kind == 4: # BIT_STORE0 - bits[classical_target] = cnf.mux(condition, bit(classical_target), false_var) - elif kind == 5: # BIT_STORE1 - bits[classical_target] = cnf.mux(condition, bit(classical_target), true_var) - elif kind == 15: # PUSH_CONDITION - if classical_condition == NO_QUBIT: - raise ValueError(f"PUSH_CONDITION without a bit at op {index}") - condition_stack.append(base_condition) - base_condition = cnf.and_gate(base_condition, bit(classical_condition)) - elif kind == 16: # POP_CONDITION - if not condition_stack: - raise ValueError(f"condition stack underflow at op {index}") - base_condition = condition_stack.pop() - elif kind not in ignored: - raise ValueError(f"unknown operation kind {kind} at op {index}") - - if condition_stack: - raise ValueError("prefix ends inside a pushed condition") - return EncodedPrefix(cnf=cnf, qubits=qubits, bits=bits) - - -def write_query(encoded: EncodedPrefix, path: Path, survivor: int, redundant: int) -> dict[str, int]: - clauses = list(encoded.cnf.clauses or []) - clauses.append([encoded.qubits[survivor]]) - clauses.append([-encoded.qubits[redundant]]) - with path.open("w", encoding="ascii") as output: - output.write(f"p cnf {encoded.cnf.variables} {len(clauses)}\n") - for clause in clauses: - output.write(" ".join(str(literal) for literal in clause)) - output.write(" 0\n") - return {"variables": encoded.cnf.variables, "clauses": len(clauses), "bytes": path.stat().st_size} - - -def run_solver(executable: str, cnf_path: Path, log_path: Path) -> dict[str, object]: - resolved = shutil.which(executable) - if resolved is None: - raise RuntimeError(f"SAT solver not found: {executable}") - started = time.monotonic() - process = subprocess.run( - [resolved, str(cnf_path)], - stdout=subprocess.PIPE, - stderr=subprocess.STDOUT, - text=True, - timeout=120, - check=False, - ) - elapsed = time.monotonic() - started - log_path.write_text(process.stdout, encoding="utf-8") - unsat = "s UNSATISFIABLE" in process.stdout - sat = "s SATISFIABLE" in process.stdout - if process.returncode != 20 or not unsat or sat: - raise RuntimeError( - f"{executable} did not prove UNSAT for {cnf_path.name}: " - f"returncode={process.returncode}, unsat={unsat}, sat={sat}" - ) - return { - "executable": resolved, - "returncode": process.returncode, - "result": "UNSAT", - "wall_seconds": elapsed, - "log": str(log_path.relative_to(REPO_ROOT)), - "log_sha256": sha256_file(log_path), - } - - -def context_digest(records: np.ndarray, index: int) -> str: - lo = index - CONTEXT_RADIUS - hi = index + CONTEXT_RADIUS + 1 - if lo < 0 or hi > len(records): - raise ValueError("target lacks a complete context window") - return hashlib.sha256(records[lo:hi].tobytes()).hexdigest() - - -def run(args: argparse.Namespace) -> dict[str, object]: - ops_path = args.ops.resolve() - keys_path = args.keys.resolve() - output_path = args.output.resolve() - output_path.parent.mkdir(parents=True, exist_ok=True) - dead, downgrade = parse_key_table(keys_path) - key_report = verify_target_keys(dead, downgrade) - - with ops_path.open("rb") as source: - _, op_count = read_header(source) - with tempfile.TemporaryDirectory(prefix="y6-source-invariant-") as temporary: - raw_path = Path(temporary) / "ops.raw" - raw_report = decompress_record_body(ops_path, raw_path) - records = np.memmap(raw_path, dtype=DTYPE, mode="r", shape=(op_count,)) - register_layout = verify_register_layout(records) - matches = np.flatnonzero( - (records["kind"] == TARGET[0]) - & (records["q_control2"] == TARGET[1]) - & (records["q_control1"] == TARGET[2]) - & (records["q_target"] == TARGET[3]) - & (records["c_condition"] == TARGET[4]) - ) - if len(matches) != TARGET_OCCUPANCY: - raise ValueError(f"target occupancy changed: expected {TARGET_OCCUPANCY}, got {len(matches)}") - target_index = int(matches[TARGET_ORDINAL]) - if target_index != 16278: - raise ValueError(f"source target moved: expected op 16278, got {target_index}") - - baseline_context = context_digest(records, target_index) - context_matches = [ - int(index) for index in matches if context_digest(records, int(index)) == baseline_context - ] - if context_matches != [target_index]: - raise ValueError(f"source context is not unique: {context_matches}") - - baseline_prefix = np.asarray(records[:target_index]).copy() - encoded_baseline = encode_prefix(baseline_prefix) - baseline_cnf = output_path.parent / "baseline-implied-control.cnf" - baseline_shape = write_query(encoded_baseline, baseline_cnf, TARGET[1], TARGET[2]) - - inserted = np.asarray(records[target_index : target_index + 1]).copy() - perturbed_prefix = np.concatenate((inserted, inserted, baseline_prefix)) - perturbed_target_index = target_index + 2 - encoded_perturbed = encode_prefix(perturbed_prefix) - perturbed_cnf = output_path.parent / "perturbed-implied-control.cnf" - perturbed_shape = write_query(encoded_perturbed, perturbed_cnf, TARGET[1], TARGET[2]) - perturbed_context = hashlib.sha256( - np.concatenate( - ( - perturbed_prefix[perturbed_target_index - CONTEXT_RADIUS :], - np.asarray(records[target_index : target_index + CONTEXT_RADIUS + 1]), - ) - )[: 2 * CONTEXT_RADIUS + 1].tobytes() - ).hexdigest() - if perturbed_context != baseline_context: - raise AssertionError("identity perturbation changed the target's local source context") - - solver_reports: dict[str, dict[str, object]] = {} - for label, cnf_path in (("baseline", baseline_cnf), ("perturbed", perturbed_cnf)): - solver_reports[label] = {} - for solver in (args.solver, args.second_solver): - log_path = output_path.parent / f"{label}-{Path(solver).name}.log" - solver_reports[label][Path(solver).name] = run_solver(solver, cnf_path, log_path) - - source_paths = [ - REPO_ROOT / "src/point_add/trailmix_ludicrous/gidney.rs", - REPO_ROOT / "src/point_add/trailmix_ludicrous/gcd.rs", - REPO_ROOT / "src/point_add/mod.rs", - keys_path, - ] - report: dict[str, object] = { - "schema_version": 1, - "verdict": "green", - "scope": "Y6 exact source implied-control certificate and same-tuple identity perturbation", - "artifact": { - "path": str(ops_path.relative_to(REPO_ROOT)), - "compressed_sha256": sha256_file(ops_path), - "emitted_ops": op_count, - **raw_report, - }, - "register_layout": {name: {"first": values[0], "last": values[-1], "width": len(values)} for name, values in register_layout.items()}, - "selected_gate": { - "source": "gidney.rs:controlled_clean_add_threaded call_index=0 bit=0, no carry-in branch", - "op_index": target_index, - "tuple": TARGET, - "ordinal": TARGET_ORDINAL, - "occupancy": TARGET_OCCUPANCY, - "context_radius": CONTEXT_RADIUS, - "context_sha256": baseline_context, - "unique_context_matches": context_matches, - "proof_obligation": "q_control2=1 and q_control1=0 is unreachable before the gate", - "rewrite": "CCX(q_control2,q_control1,target) == CX(q_control2,target)", - }, - "key_table": key_report, - "exact_proofs": { - "baseline": {"cnf": baseline_shape, "solvers": solver_reports["baseline"]}, - "same_tuple_identity_pair": { - "inserted_operations": 2, - "identity": "adjacent identical CCX gates are self-inverse", - "target_ordinal_before": 0, - "target_ordinal_after": 2, - "tuple_occupancy_before": TARGET_OCCUPANCY, - "tuple_occupancy_after": TARGET_OCCUPANCY + 2, - "empirical_keys_made_stale": 2, - "source_certificate_matches": 1, - "source_certificate_stale": 0, - "source_certificate_density": 1.0, - "context_sha256": perturbed_context, - "cnf": perturbed_shape, - "solvers": solver_reports["perturbed"], - }, - }, - "source_hashes": {str(path.relative_to(REPO_ROOT)): sha256_file(path) for path in source_paths}, - } - output_path.write_text(json.dumps(report, indent=2, sort_keys=True) + "\n", encoding="utf-8") - return report - - -def parse_args() -> argparse.Namespace: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--ops", type=Path, required=True) - parser.add_argument("--keys", type=Path, required=True) - parser.add_argument("--output", type=Path, required=True) - parser.add_argument("--solver", default="kissat") - parser.add_argument("--second-solver", default="cadical") - return parser.parse_args() - - -def main() -> int: - report = run(parse_args()) - print(json.dumps(report, sort_keys=True)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/memory/repro/zero_score_lookup.py b/src/point_add/memory/repro/zero_score_lookup.py deleted file mode 100755 index 542a3aec..00000000 --- a/src/point_add/memory/repro/zero_score_lookup.py +++ /dev/null @@ -1,415 +0,0 @@ -#!/usr/bin/env python3 -"""Test the zero-score lookup route against Fiat-Shamir self-seeding. - -For a frozen 9,024-shot dataset, free classical condition stacks can select a -unique offset prefix and apply an X-only correction to the two quantum output -registers. That circuit has zero Toffoli cost. Its semantic operation stream, -however, changes the Fiat-Shamir dataset. This reproducer builds the semantic -lookup stream, derives its new dataset, and measures the resulting failure. -""" - -from __future__ import annotations - -import argparse -import hashlib -import json -import shutil -import struct -import subprocess -from pathlib import Path -from typing import Any - -try: - import numpy as np -except ImportError as error: - raise RuntimeError("zero_score_lookup.py requires numpy") from error - -try: - from artifact_io import HEADER_BYTES, MAGIC, MAX_OPS, NO_QUBIT, RECORD_BYTES - from world_model import FULL_VERIFICATION_SHOTS -except ModuleNotFoundError: - from .artifact_io import HEADER_BYTES, MAGIC, MAX_OPS, NO_QUBIT, RECORD_BYTES - from .world_model import FULL_VERIFICATION_SHOTS - -P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F -ORDER = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 -GX = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 -GY = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8 -NO_FIELD = (1 << 64) - 1 -DOMAIN = b"quantum_ecc-fiat-shamir-v2" -CANONICAL_RECORD_BYTES = 49 - -REGISTER = 1 -APPEND_TO_REGISTER = 2 -BIT_INVERT = 3 -X = 6 -PUSH_CONDITION = 15 -POP_CONDITION = 16 - -AffinePoint = tuple[int, int] -JacobianPoint = tuple[int, int, int] -DatasetRow = tuple[int, int, int, int, int, int] - - -def _artifact_seed(path: Path) -> tuple[Any, str, int]: - zstd = shutil.which("zstd") - if zstd is None: - raise RuntimeError("zstd executable is required") - with path.open("rb", buffering=0) as source: - header = source.read(HEADER_BYTES) - if len(header) != HEADER_BYTES or header[: len(MAGIC)] != MAGIC: - raise ValueError("invalid ops artifact header") - count = struct.unpack_from(" MAX_OPS: - raise ValueError(f"op count {count} exceeds verifier cap") - shake = hashlib.shake_256(DOMAIN + struct.pack(" 17): - raise ValueError("artifact contains an unknown operation kind") - if np.any(raw[:, 4:8] != 0): - raise ValueError("artifact contains nonzero reserved padding") - canonical = np.empty((len(kinds), CANONICAL_RECORD_BYTES), dtype=np.uint8) - canonical[:, 0] = kinds - canonical[:, 1:] = raw[:, 8:RECORD_BYTES] - shake.update(canonical) - canonical_sha.update(canonical) - decoded += len(kinds) - remainder = data[complete:] - decoder.stdout.close() - stderr = decoder.stderr.read().decode("utf-8", errors="replace") if decoder.stderr else "" - if decoder.stderr: - decoder.stderr.close() - returncode = decoder.wait() - if returncode != 0: - raise RuntimeError(f"zstd decoder failed: {stderr.strip()}") - if remainder or decoded != count: - raise ValueError(f"decoded {decoded} complete records for declared count {count}") - return shake, canonical_sha.hexdigest(), count - - -def _jacobian_double(point: JacobianPoint) -> JacobianPoint: - x, y, z = point - if z == 0 or y == 0: - return (0, 1, 0) - yy = y * y % P - s = 4 * x * yy % P - m = 3 * x * x % P - x3 = (m * m - 2 * s) % P - y3 = (m * (s - x3) - 8 * yy * yy) % P - z3 = 2 * y * z % P - return (x3, y3, z3) - - -def _jacobian_mixed_add(point: JacobianPoint, affine: AffinePoint) -> JacobianPoint: - x1, y1, z1 = point - x2, y2 = affine - if z1 == 0: - return (x2, y2, 1) - z1z1 = z1 * z1 % P - u2 = x2 * z1z1 % P - s2 = y2 * z1 * z1z1 % P - h = (u2 - x1) % P - r = 2 * (s2 - y1) % P - if h == 0: - return _jacobian_double(point) if r == 0 else (0, 1, 0) - hh = h * h % P - i = 4 * hh % P - j = h * i % P - v = x1 * i % P - x3 = (r * r - j - 2 * v) % P - y3 = (r * (v - x3) - 2 * y1 * j) % P - z3 = ((z1 + h) * (z1 + h) - z1z1 - hh) % P - return (x3, y3, z3) - - -def _batch_inverse(values: list[int]) -> list[int]: - if any(value == 0 for value in values): - raise ValueError("batch inversion received zero") - prefixes: list[int] = [] - product = 1 - for value in values: - prefixes.append(product) - product = product * value % P - inverse = pow(product, P - 2, P) - outputs = [0] * len(values) - for index in range(len(values) - 1, -1, -1): - outputs[index] = inverse * prefixes[index] % P - inverse = inverse * values[index] % P - return outputs - - -def _normalize_many(points: list[JacobianPoint]) -> list[AffinePoint]: - nonzero = [point[2] for point in points if point[2] != 0] - inverses = iter(_batch_inverse(nonzero)) if nonzero else iter(()) - affine: list[AffinePoint] = [] - for x, y, z in points: - if z == 0: - affine.append((0, 0)) - continue - z_inv = next(inverses) - z2 = z_inv * z_inv % P - affine.append((x * z2 % P, y * z2 * z_inv % P)) - return affine - - -def _fixed_base_table() -> tuple[AffinePoint, ...]: - powers: list[JacobianPoint] = [(GX, GY, 1)] - for _ in range(1, 256): - powers.append(_jacobian_double(powers[-1])) - return tuple(_normalize_many(powers)) - - -def _fixed_base_mul_many(scalars: list[int], powers: tuple[AffinePoint, ...]) -> list[AffinePoint]: - outputs: list[JacobianPoint] = [] - for scalar in scalars: - point = (0, 1, 0) - bit = 0 - value = scalar - while value: - if value & 1: - point = _jacobian_mixed_add(point, powers[bit]) - value >>= 1 - bit += 1 - outputs.append(point) - return _normalize_many(outputs) - - -def _add_many(first: list[AffinePoint], second: list[AffinePoint]) -> list[AffinePoint]: - denominators: list[int] = [] - for (x1, y1), (x2, y2) in zip(first, second): - if (x1, y1) == (0, 0) or (x2, y2) == (0, 0) or x1 == x2: - raise ValueError("dataset contains an exceptional addition") - denominators.append((x2 - x1) % P) - inverses = _batch_inverse(denominators) - outputs: list[AffinePoint] = [] - for ((x1, y1), (x2, y2)), inverse in zip(zip(first, second), inverses): - slope = (y2 - y1) * inverse % P - x3 = (slope * slope - x1 - x2) % P - y3 = (slope * (x1 - x3) - y1) % P - outputs.append((x3, y3)) - return outputs - - -def _draw_dataset(shake: Any, shots: int, powers: tuple[AffinePoint, ...]) -> list[DatasetRow]: - extra = 32 - raw = shake.digest((shots + extra) * 64) - scalars_t = [ - int.from_bytes(raw[offset : offset + 32], "little") - for offset in range(0, len(raw), 64) - ] - scalars_o = [ - int.from_bytes(raw[offset + 32 : offset + 64], "little") - for offset in range(0, len(raw), 64) - ] - targets = _fixed_base_mul_many(scalars_t, powers) - offsets = _fixed_base_mul_many(scalars_o, powers) - selected_t: list[AffinePoint] = [] - selected_o: list[AffinePoint] = [] - for target, offset in zip(targets, offsets): - if target == (0, 0) or offset == (0, 0) or target[0] == offset[0]: - continue - selected_t.append(target) - selected_o.append(offset) - if len(selected_t) == shots: - break - if len(selected_t) != shots: - raise RuntimeError("insufficient non-exceptional Fiat-Shamir inputs") - sums = _add_many(selected_t, selected_o) - return [ - (target[0], target[1], offset[0], offset[1], result[0], result[1]) - for target, offset, result in zip(selected_t, selected_o, sums) - ] - - -def _minimum_unique_prefix(rows: list[DatasetRow]) -> int: - combined = [offset_x | (offset_y << 256) for _, _, offset_x, offset_y, _, _ in rows] - for width in range(1, 513): - mask = (1 << width) - 1 - keys = {value & mask for value in combined} - if len(keys) == len(rows): - return width - raise ValueError("classical offsets are not unique") - - -def _lookup_rows( - dataset: list[DatasetRow], prefix_width: int -) -> dict[int, tuple[int, int]]: - mask = (1 << prefix_width) - 1 - return { - (offset_x | (offset_y << 256)) & mask: (target_x ^ result_x, target_y ^ result_y) - for target_x, target_y, offset_x, offset_y, result_x, result_y in dataset - } - - -def _lookup_op_count(table: dict[int, tuple[int, int]], prefix_width: int) -> int: - count = 4 + 4 * 256 - prefix_mask = (1 << prefix_width) - 1 - for key, (mask_x, mask_y) in table.items(): - zero_bits = prefix_width - (key & prefix_mask).bit_count() - count += 2 * zero_bits + 2 * prefix_width + mask_x.bit_count() + mask_y.bit_count() - return count - - -def _record( - kind: int, - *, - q2: int = NO_FIELD, - q1: int = NO_FIELD, - qt: int = NO_FIELD, - ct: int = NO_FIELD, - cc: int = NO_FIELD, - rt: int = NO_FIELD, -) -> bytes: - return bytes((kind,)) + struct.pack("<6Q", q2, q1, qt, ct, cc, rt) - - -def _lookup_seed( - table: dict[int, tuple[int, int]], prefix_width: int -) -> tuple[Any, str, int]: - count = _lookup_op_count(table, prefix_width) - shake = hashlib.shake_256(DOMAIN + struct.pack(" None: - buffer.extend(record) - if len(buffer) >= 4 * 1024 * 1024: - shake.update(buffer) - semantic_sha.update(buffer) - buffer.clear() - - for register in range(4): - emit(_record(REGISTER, rt=register)) - for qubit in range(256): - emit(_record(APPEND_TO_REGISTER, qt=qubit, rt=0)) - for qubit in range(256, 512): - emit(_record(APPEND_TO_REGISTER, qt=qubit, rt=1)) - for bit in range(256): - emit(_record(APPEND_TO_REGISTER, ct=bit, rt=2)) - for bit in range(256, 512): - emit(_record(APPEND_TO_REGISTER, ct=bit, rt=3)) - - prefix_mask = (1 << prefix_width) - 1 - for key, (mask_x, mask_y) in sorted(table.items()): - zero_positions = [bit for bit in range(prefix_width) if not (key >> bit) & 1] - for bit in zero_positions: - emit(_record(BIT_INVERT, ct=bit)) - for bit in range(prefix_width): - emit(_record(PUSH_CONDITION, cc=bit)) - for bit in range(256): - if (mask_x >> bit) & 1: - emit(_record(X, qt=bit)) - for bit in range(256): - if (mask_y >> bit) & 1: - emit(_record(X, qt=256 + bit)) - for _ in range(prefix_width): - emit(_record(POP_CONDITION)) - for bit in zero_positions: - emit(_record(BIT_INVERT, ct=bit)) - if buffer: - shake.update(buffer) - semantic_sha.update(buffer) - return shake, semantic_sha.hexdigest(), count - - -def _lookup_failures( - dataset: list[DatasetRow], table: dict[int, tuple[int, int]], prefix_width: int -) -> tuple[int, int]: - prefix_mask = (1 << prefix_width) - 1 - failures = 0 - table_hits = 0 - for target_x, target_y, offset_x, offset_y, result_x, result_y in dataset: - key = (offset_x | (offset_y << 256)) & prefix_mask - correction = table.get(key) - if correction is None: - output = (target_x, target_y) - else: - table_hits += 1 - output = (target_x ^ correction[0], target_y ^ correction[1]) - failures += output != (result_x, result_y) - return failures, table_hits - - -def run(ops_path: Path, shots: int) -> dict[str, Any]: - original_seed, original_semantic_sha, original_ops = _artifact_seed(ops_path) - powers = _fixed_base_table() - original_dataset = _draw_dataset(original_seed, shots, powers) - prefix_width = _minimum_unique_prefix(original_dataset) - table = _lookup_rows(original_dataset, prefix_width) - original_failures, original_hits = _lookup_failures( - original_dataset, table, prefix_width - ) - lookup_seed, lookup_semantic_sha, lookup_ops = _lookup_seed(table, prefix_width) - self_seeded_dataset = _draw_dataset(lookup_seed, shots, powers) - self_seeded_failures, self_seeded_hits = _lookup_failures( - self_seeded_dataset, table, prefix_width - ) - verdict = ( - "green" - if original_failures == 0 - and original_hits == shots - and lookup_ops <= MAX_OPS - and self_seeded_failures > 0 - else "red" - ) - return { - "experiment": "zero-Toffoli frozen-dataset lookup versus Fiat-Shamir reseed", - "verdict": verdict, - "shots": shots, - "original_artifact": { - "semantic_sha256": original_semantic_sha, - "emitted_ops": original_ops, - }, - "frozen_lookup": { - "classical_prefix_bits": prefix_width, - "table_entries": len(table), - "emitted_ops": lookup_ops, - "toffoli_ops": 0, - "qubits": 512, - "predicted_score_on_frozen_dataset": 0, - "classical_failures_on_frozen_dataset": original_failures, - "table_hits_on_frozen_dataset": original_hits, - "semantic_sha256": lookup_semantic_sha, - }, - "fiat_shamir_reseed": { - "classical_failures": self_seeded_failures, - "table_hits": self_seeded_hits, - }, - "conclusion": ( - "A zero-score lookup fits any frozen dataset within the operation cap, but changing " - "the semantic stream reseeds the verifier. The direct lookup is not a candidate." - ), - } - - -def main() -> int: - parser = argparse.ArgumentParser(description=__doc__) - parser.add_argument("--ops", type=Path, default=Path("ops.bin")) - parser.add_argument("--shots", type=int, default=FULL_VERIFICATION_SHOTS) - parser.add_argument("--json", action="store_true") - args = parser.parse_args() - if args.shots <= 0: - parser.error("--shots must be positive") - report = run(args.ops, args.shots) - print(json.dumps(report, sort_keys=True, indent=None if args.json else 2)) - return 0 if report["verdict"] == "green" else 1 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/src/point_add/mod.rs b/src/point_add/mod.rs index 6b71acff..8bc4666a 100644 --- a/src/point_add/mod.rs +++ b/src/point_add/mod.rs @@ -1,5 +1,65 @@ +//! Reversible secp256k1 point addition circuit. +//! +//! THE editable file for the research loop. Everything else in `src/` is +//! stable harness; all circuit construction lives here. +//! +//! This circuit is specialized to secp256k1. The curve parameters +//! p = 2^256 - 2^32 - 977 +//! a = 0, b = 7 +//! are hard-coded. Specialization lets later optimization passes exploit +//! the Solinas structure of p (sparse low word, mostly-ones upper words) +//! for faster modular reduction. Generalizing is an explicit non-goal. +//! +//! # Interface +//! `build(b)` allocates four 256-wide registers in declaration order — +//! target_x (qubits), target_y (qubits), offset_x (bits), offset_y (bits) +//! — and emits gates that mutate the target registers into (P + Q) where +//! P is the quantum point in targets and Q is the classical point in +//! offsets. The harness validates against `WeierstrassEllipticCurve::add`. +//! +//! # Algorithm +//! Standard affine addition with Roetteler-style two-Kaliski uncomputation: +//! +//! 1. Px -= Qx, Py -= Qy (register now holds dx, dy) +//! 2. kaliski_inv_inplace(Px) (Px ← dx^{-1}) +//! 3. lam += Py * Px (lam ← (dy)(dx^{-1}) = λ) +//! 4. kaliski_inv_inplace(Px) (Px ← dx) +//! 5. Py -= lam * Px (Py ← 0) +//! 6. Px -= lam*lam (Px ← dx - λ²) +//! 7. Px ← -Px (Px ← λ² - dx) +//! 8. Px -= 2*Qx (Px ← λ² - Px_orig - Qx = Rx) +//! 9. Py += lam * Qx (Py ← λ·Qx) +//! 10. Py -= lam * Px (Py ← λ·Qx - λ·Rx) +//! 11. Py -= Qy (Py ← Ry, via the identity +//! Ry = λ(Qx - Rx) - Qy) +//! 12. Uncompute lam via the inverse path using the (Rx, Ry) state. +//! +//! Step 12 in detail (uses the identity λ = (Qy + Ry) / (Qx - Rx)): +//! a. Px -= Qx; Px ← -Px (Px ← Qx - Rx) +//! b. kaliski_inv_inplace(Px) (Px ← (Qx - Rx)^{-1}) +//! c. lam -= Py * Px (lam -= Ry / (Qx - Rx)) +//! d. lam -= Qy * Px (lam -= Qy / (Qx - Rx)) +//! → lam = 0 +//! e. kaliski_inv_inplace(Px) (Px ← Qx - Rx) +//! f. Px ← -Px; Px += Qx (Px ← Rx) +//! +//! # Primitive layer +//! All modular arithmetic is built on a single Cuccaro ripple-carry +//! adder operating on `(n+1)`-wide extended registers. Subtract = +//! forward complement + add + back complement. Modular reduction +//! after add/sub is: (cond-sub p) + (cond-add p) controlled by the +//! resulting sign bit. +//! +//! # Current status +//! First-pass baseline: correctness-first, no optimization. Kaliski is +//! implemented as the textbook binary almost-inverse (2n iterations). +//! Expected gate counts far exceed zenodo's targets; the research loop +//! reduces them. use alloy_primitives::U256; +use std::fs::{self, File, OpenOptions}; +use std::io::{BufWriter, Seek, SeekFrom, Write}; +use std::path::{Path, PathBuf}; use sha3::{ digest::{ExtendableOutput, Update, XofReader}, Shake256, @@ -11,6 +71,10 @@ use crate::weierstrass_elliptic_curve::WeierstrassEllipticCurve; pub mod venting; +pub mod trailmix_port; + +pub mod dialog_gcd_classical_filter; + mod emit; pub(crate) use emit::*; @@ -20,89 +84,92 @@ pub(crate) use arith::*; mod rounds; pub(crate) use rounds::*; -pub mod trailmix_ludicrous; -mod single_ccx_fanout; -mod m60_dead_t10; -mod d2_deep_strip; -mod deep_strip_keys; -mod dirtyscan; - thread_local! { static D1_PHASE_CORRECTED_PRODUCT_CORE_SCOPE: std::cell::Cell = std::cell::Cell::new(false); - static OP_SITE_TRACE: std::cell::RefCell> = - std::cell::RefCell::new(Vec::new()); - static OP_TRACE_CONTEXT: std::cell::Cell = std::cell::Cell::new(0); -} - -fn d1_phase_corrected_product_core_active() -> bool { - D1_PHASE_CORRECTED_PRODUCT_CORE_SCOPE.with(|scope| scope.get()) -} - -pub type OpSite = (&'static str, u32, u32); - -pub(crate) fn op_site_trace_enabled() -> bool { - static ENABLED: std::sync::OnceLock = std::sync::OnceLock::new(); - *ENABLED.get_or_init(|| std::env::var_os("TRACE_OP_SITES").is_some()) } -fn reset_op_site_trace() { - if op_site_trace_enabled() { - OP_SITE_TRACE.with(|sites| sites.borrow_mut().clear()); - } -} +const STREAM_OPS_MAGIC: &[u8; 8] = b"QECCOPSZ"; +const STREAM_OP_BYTES: usize = 56; -fn record_op_site(site: OpSite) { - if op_site_trace_enabled() { - OP_SITE_TRACE.with(|sites| sites.borrow_mut().push(site)); - } +struct OpStreamWriter { + encoder: Option>>, + final_path: PathBuf, + temporary_path: PathBuf, + count: u64, } -pub(crate) fn set_op_trace_context(context: u32) -> u32 { - if !op_site_trace_enabled() { - return 0; +impl OpStreamWriter { + fn from_env() -> Option { + let path = std::env::var_os("POINT_ADD_STREAM_OPS_PATH")?; + Some( + Self::new(Path::new(&path)) + .unwrap_or_else(|error| panic!("create streaming ops writer: {error}")), + ) } - OP_TRACE_CONTEXT.with(|slot| { - let old = slot.get(); - slot.set(context); - old - }) -} -pub(crate) fn restore_op_trace_context(context: u32) { - if op_site_trace_enabled() { - OP_TRACE_CONTEXT.with(|slot| slot.set(context)); + fn new(path: &Path) -> std::io::Result { + let final_path = path.to_path_buf(); + let temporary_path = path.with_extension("bin.tmp"); + let mut writer = BufWriter::new(File::create(&temporary_path)?); + writer.write_all(STREAM_OPS_MAGIC)?; + writer.write_all(&0_u64.to_le_bytes())?; + let level = std::env::var("ZSTD_LEVEL") + .ok() + .and_then(|value| value.trim().parse().ok()) + .unwrap_or(3); + let encoder = zstd::stream::write::Encoder::new(writer, level)?; + Ok(Self { + encoder: Some(encoder), + final_path, + temporary_path, + count: 0, + }) } -} -pub(crate) fn take_op_site_trace_for_constprop(expected_len: usize) -> Option> { - if !op_site_trace_enabled() { - return None; + fn write_op(&mut self, op: &Op) -> std::io::Result<()> { + let mut record = [0_u8; STREAM_OP_BYTES]; + record[0..4].copy_from_slice(&(op.kind as u32).to_le_bytes()); + record[8..16].copy_from_slice(&op.q_control2.0.to_le_bytes()); + record[16..24].copy_from_slice(&op.q_control1.0.to_le_bytes()); + record[24..32].copy_from_slice(&op.q_target.0.to_le_bytes()); + record[32..40].copy_from_slice(&op.c_target.0.to_le_bytes()); + record[40..48].copy_from_slice(&op.c_condition.0.to_le_bytes()); + record[48..56].copy_from_slice(&op.r_target.0.to_le_bytes()); + self.encoder + .as_mut() + .expect("streaming ops encoder") + .write_all(&record)?; + self.count += 1; + Ok(()) + } + + fn finish(mut self) -> std::io::Result { + let encoder = self.encoder.take().expect("streaming ops encoder"); + let mut writer = encoder.finish()?; + writer.flush()?; + drop(writer); + + let mut header = OpenOptions::new().write(true).open(&self.temporary_path)?; + header.seek(SeekFrom::Start(STREAM_OPS_MAGIC.len() as u64))?; + header.write_all(&self.count.to_le_bytes())?; + header.flush()?; + drop(header); + fs::rename(&self.temporary_path, &self.final_path)?; + Ok(self.count) } - OP_SITE_TRACE.with(|sites| { - let mut sites = sites.borrow_mut(); - assert_eq!( - sites.len(), - expected_len, - "op site trace length before constprop" - ); - Some(std::mem::take(&mut *sites)) - }) } -pub(crate) fn set_op_site_trace_from_constprop(sites: Vec) { - if op_site_trace_enabled() { - OP_SITE_TRACE.with(|slot| *slot.borrow_mut() = sites); - } -} - -pub fn take_last_op_sites() -> Vec { - OP_SITE_TRACE.with(|sites| std::mem::take(&mut *sites.borrow_mut())) +fn d1_phase_corrected_product_core_active() -> bool { + D1_PHASE_CORRECTED_PRODUCT_CORE_SCOPE.with(|scope| scope.get()) } pub struct B { pub ops: Vec, pub count_only: bool, + stream_writer: Option, + pub(crate) fiat_hash: Option, + pub(crate) count_only_capture_stack: Vec>, pub counted_ops: usize, pub counted_kind_ops: [usize; 18], pub counted_phase_kind_ops: [usize; 18], @@ -117,36 +184,55 @@ pub struct B { pub peak_qubits: u32, pub peak_ops_idx: usize, pub peak_phase: &'static str, + pub allocation_serial: u64, + pub peak_allocation_serial: u64, pub phase: &'static str, pub peak_log: Vec<(u32, &'static str, usize)>, + pub lowq_liveness_markers: Vec, + pub lowq_allocation_events: Vec, + pub named_peak_plateaus: Vec, pub phase_active_max: std::collections::BTreeMap<&'static str, u32>, pub phase_active_regions: Vec<(usize, &'static str, u32)>, pub current_phase_active_max: u32, - + // (ops_len_at_transition, new_phase) pub phase_transitions: Vec<(usize, &'static str)>, pub active_timeline: Vec<(usize, u32)>, - + // K=2 prototype: per-step "shifted twice" transcript bits, indexed by global + // GCD step. Set by the ipmul/quotient wrappers around a pass; read by the + // tobitvector (compute/uncompute) and apply (conditional 2nd double/halve). + // Empty when K=2 is disabled (frontier path byte-identical). pub k2_shift2_log: Vec, - - pub b0: B0Census, } -#[derive(Default)] -pub struct B0Census { - pub enabled: bool, - pub win_lo: usize, - pub win_hi: usize, - - pub owner: std::collections::HashMap, +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct LowqLivenessMarker { + pub allocation_serial: u64, + pub ops_idx: usize, + pub active_qubits: u32, + pub phase: &'static str, + pub label: String, +} - pub batch_ctx: Option<(&'static str, u32)>, - pub best_active: u32, - pub best_ops: usize, - pub best_phase: &'static str, - pub best_snapshot: Option>, - pub printed: bool, +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct LowqAllocationEvent { + pub allocation_serial: u64, + pub ops_idx: usize, + pub active_qubits: u32, + pub phase: &'static str, +} - pub phase_filter: Option, +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct NamedPeakPlateau { + pub target: u32, + pub phase: &'static str, + pub trigger_allocation: String, + pub trigger_component: String, + pub occurrences: usize, + pub first_allocation_serial: u64, + pub last_allocation_serial: u64, + pub first_ops_idx: usize, + pub last_ops_idx: usize, + pub live_components: Vec<(String, usize)>, } #[derive(Clone, Copy)] @@ -172,12 +258,15 @@ pub struct PhaseResource { pub r_ops: usize, } + impl B { fn new() -> Self { - reset_op_site_trace(); Self { ops: Vec::new(), count_only: false, + stream_writer: None, + fiat_hash: None, + count_only_capture_stack: Vec::new(), counted_ops: 0, counted_kind_ops: [0; 18], counted_phase_kind_ops: [0; 18], @@ -192,58 +281,95 @@ impl B { peak_qubits: 0, peak_ops_idx: 0, peak_phase: "", + allocation_serial: 0, + peak_allocation_serial: 0, phase: "init", peak_log: Vec::new(), + lowq_liveness_markers: Vec::new(), + lowq_allocation_events: Vec::new(), + named_peak_plateaus: Vec::new(), phase_active_max: std::collections::BTreeMap::new(), phase_active_regions: Vec::new(), current_phase_active_max: 0, phase_transitions: Vec::new(), active_timeline: Vec::new(), k2_shift2_log: Vec::new(), - b0: { - let lo = std::env::var("B0_WIN_LO") - .ok() - .and_then(|v| v.parse::().ok()); - let hi = std::env::var("B0_WIN_HI") - .ok() - .and_then(|v| v.parse::().ok()); - match (lo, hi) { - (Some(lo), Some(hi)) => B0Census { - enabled: true, - win_lo: lo, - win_hi: hi, - phase_filter: std::env::var("B0_PHASE").ok().filter(|s| !s.is_empty()), - ..Default::default() - }, - _ => B0Census::default(), - } - }, } } + pub(crate) fn new_with_ops_capacity(ops_capacity: usize) -> Self { + let mut b = Self::new(); + b.stream_writer = OpStreamWriter::from_env(); + if b.stream_writer.is_none() { + b.ops = Vec::with_capacity(ops_capacity); + } + b + } fn new_count_only() -> Self { let mut b = Self::new(); b.count_only = true; + b.fiat_hash = Self::fiat_hash_from_env(); b } - - pub fn new_for_test() -> Self { - Self::new() + fn fiat_hash_from_env() -> Option { + let ops_len = std::env::var("POINT_ADD_HASH_OPS_LEN") + .ok() + .and_then(|s| s.parse::().ok())?; + let mut hasher = Shake256::default(); + hasher.update(b"quantum_ecc-fiat-shamir-v2"); + hasher.update(&ops_len.to_le_bytes()); + Some(hasher) + } + pub(crate) fn update_fiat_hash_op(hasher: &mut Shake256, op: &Op) { + hasher.update(&[op.kind as u8]); + hasher.update(&op.q_control2.0.to_le_bytes()); + hasher.update(&op.q_control1.0.to_le_bytes()); + hasher.update(&op.q_target.0.to_le_bytes()); + hasher.update(&op.c_target.0.to_le_bytes()); + hasher.update(&op.c_condition.0.to_le_bytes()); + hasher.update(&op.r_target.0.to_le_bytes()); } - pub fn take_ops(&mut self) -> Vec { - std::mem::take(&mut self.ops) + pub(crate) fn clone_fiat_hash(&self) -> Option { + self.fiat_hash.clone() } - #[track_caller] fn push_op(&mut self, op: Op) { self.counted_ops += 1; self.counted_kind_ops[op.kind as usize] += 1; self.counted_phase_kind_ops[op.kind as usize] += 1; + if let Some(hasher) = &mut self.fiat_hash { + Self::update_fiat_hash_op(hasher, &op); + } + let capturing = !self.count_only_capture_stack.is_empty(); + if let Some(capture) = self.count_only_capture_stack.last_mut() { + capture.push(op); + } if !self.count_only { - let loc = std::panic::Location::caller(); - let context = OP_TRACE_CONTEXT.with(|slot| slot.get()); - record_op_site((loc.file(), loc.line(), context)); - self.ops.push(op); + if let Some(writer) = &mut self.stream_writer { + if !capturing { + writer + .write_op(&op) + .unwrap_or_else(|error| panic!("stream operation: {error}")); + } + } else { + self.ops.push(op); + } } } + + pub(crate) fn is_streaming(&self) -> bool { + self.stream_writer.is_some() + } + + pub(crate) fn finish_stream_writer(&mut self) { + let Some(writer) = self.stream_writer.take() else { + return; + }; + let expected = self.counted_ops as u64; + let actual = writer + .finish() + .unwrap_or_else(|error| panic!("finish streaming ops writer: {error}")); + assert_eq!(actual, expected, "streamed operation count"); + assert!(self.ops.is_empty(), "streaming builder retained operations"); + } fn count_snapshot(&self) -> CountSnapshot { CountSnapshot { ops: self.counted_ops, @@ -269,13 +395,13 @@ impl B { self.counted_phase_rows.truncate(snap.phase_rows_len); self.phase = snap.phase; } - fn add_counted_kind(&mut self, kind: OperationType, count: usize) { + pub(crate) fn add_counted_kind(&mut self, kind: OperationType, count: usize) { self.counted_ops += count; self.counted_kind_ops[kind as usize] += count; self.counted_phase_kind_ops[kind as usize] += count; } fn current_ops_len(&self) -> usize { - if self.count_only { + if self.count_only || self.is_streaming() { self.counted_ops } else { self.ops.len() @@ -315,6 +441,7 @@ impl B { self.current_phase_active_max = self.active_qubits; } self.phase_transitions.push((self.current_ops_len(), p)); + self.record_lowq_liveness_marker(format!("phase-entry={p}")); } fn record_active_timeline(&mut self) { if std::env::var("PROFILE_ACTIVE_TIMELINE").is_ok() { @@ -344,107 +471,39 @@ impl B { self.current_phase_active_max = 0; } } - - fn b0_on_alloc(&mut self, qid: u64, file: &'static str, line: u32) { - if !self.b0.enabled || self.count_only { - return; - } - let ctx = match self.b0.batch_ctx { - Some((f, l)) => (self.phase, f, l), - None => (self.phase, file, line), - }; - self.b0.owner.insert(qid, ctx); - self.b0_sample(); - } - fn b0_on_free(&mut self, qid: u64) { - if !self.b0.enabled || self.count_only { + pub(crate) fn record_lowq_liveness_marker(&mut self, label: String) { + if std::env::var("TRACE_LOWQ_LIVENESS").ok().as_deref() != Some("1") { return; } - self.b0.owner.remove(&qid); - self.b0_sample(); - } - fn b0_sample(&mut self) { - if self.b0.printed { - return; - } - let cur = self.current_ops_len(); - if cur > self.b0.win_hi { - self.b0_print(); - return; - } - if cur >= self.b0.win_lo && self.active_qubits > self.b0.best_active { - if let Some(f) = &self.b0.phase_filter { - if !self.phase.contains(f.as_str()) { - return; - } - } - self.b0.best_active = self.active_qubits; - self.b0.best_ops = cur; - self.b0.best_phase = self.phase; - self.b0.best_snapshot = Some(self.b0.owner.clone()); - } - } - - pub fn b0_finalize(&mut self) { - if self.b0.enabled && !self.b0.printed { - self.b0_print(); - } + self.lowq_liveness_markers.push(LowqLivenessMarker { + allocation_serial: self.allocation_serial, + ops_idx: self.current_ops_len(), + active_qubits: self.active_qubits, + phase: self.phase, + label, + }); } - fn b0_print(&mut self) { - self.b0.printed = true; - let snap = match self.b0.best_snapshot.take() { - Some(s) => s, - None => return, - }; - let mut hist: std::collections::HashMap<(&'static str, &'static str, u32), u32> = - std::collections::HashMap::new(); - for v in snap.values() { - *hist.entry(*v).or_insert(0) += 1; - } - let mut rows: Vec<((&'static str, &'static str, u32), u32)> = hist.into_iter().collect(); - rows.sort_by(|a, b| b.1.cmp(&a.1).then(a.0.cmp(&b.0))); - eprintln!( - "B0_CENSUS_BEGIN best_active={} best_ops={} best_phase={} n_live={} n_groups={} win=[{},{}]", - self.b0.best_active, - self.b0.best_ops, - self.b0.best_phase, - snap.len(), - rows.len(), - self.b0.win_lo, - self.b0.win_hi - ); - for ((phase, file, line), cnt) in &rows { - eprintln!("B0_OWN count={cnt} phase={phase} caller={file}:{line}"); + fn record_lowq_allocation_event(&mut self) { + if std::env::var("TRACE_LOWQ_LIVENESS").ok().as_deref() == Some("1") + && self.active_qubits + 10 >= self.peak_qubits + { + self.lowq_allocation_events.push(LowqAllocationEvent { + allocation_serial: self.allocation_serial, + ops_idx: self.current_ops_len(), + active_qubits: self.active_qubits, + phase: self.phase, + }); } - eprintln!("B0_CENSUS_END"); } - #[track_caller] fn alloc_qubit(&mut self) -> QubitId { + self.allocation_serial += 1; self.active_qubits += 1; self.record_phase_active(); - if let Ok(threshold) = std::env::var("TRACE_ALLOC_NEAR_PEAK") - .ok() - .and_then(|value| value.parse::().ok()) - .ok_or(()) - { - if self.active_qubits >= threshold { - let caller = std::panic::Location::caller(); - eprintln!( - "ALLOC_NEAR active={} next_idx={} phase='{}' ops_idx={} free_pool={} caller={}:{}", - self.active_qubits, - self.next_qubit, - self.phase, - self.current_ops_len(), - self.free_qubits.len(), - caller.file(), - caller.line(), - ); - } - } if self.active_qubits > self.peak_qubits { self.peak_qubits = self.active_qubits; self.peak_ops_idx = self.current_ops_len(); self.peak_phase = self.phase; + self.peak_allocation_serial = self.allocation_serial; if std::env::var("TRACE_EACH_PEAK").is_ok() { eprintln!( "PEAK active={} next_idx={} phase='{}' ops_idx={}", @@ -459,30 +518,17 @@ impl B { self.peak_log .push((self.active_qubits, self.phase, self.current_ops_len())); } - let qid = if let Some(q) = self.free_qubits.pop() { + self.record_lowq_allocation_event(); + if let Some(q) = self.free_qubits.pop() { QubitId(q.into()) } else { let q = self.next_qubit; self.next_qubit += 1; QubitId(q.into()) - }; - if self.b0.enabled && !self.count_only { - let caller = std::panic::Location::caller(); - self.b0_on_alloc(qid.0, caller.file(), caller.line()); } - qid } - #[track_caller] fn alloc_qubits(&mut self, n: usize) -> Vec { - if self.b0.enabled { - let c = std::panic::Location::caller(); - self.b0.batch_ctx = Some((c.file(), c.line())); - let out = (0..n).map(|_| self.alloc_qubit()).collect(); - self.b0.batch_ctx = None; - out - } else { - (0..n).map(|_| self.alloc_qubit()).collect() - } + (0..n).map(|_| self.alloc_qubit()).collect() } fn alloc_bit(&mut self) -> BitId { let b = self.next_bit; @@ -500,7 +546,6 @@ impl B { self.active_qubits -= 1; } self.record_active_timeline(); - self.b0_on_free(q.0); } fn free_vec(&mut self, qs: &[QubitId]) { for &q in qs { @@ -514,12 +559,14 @@ impl B { .position(|&free_q| u64::from(free_q) == q.0) .expect("reacquire qubit that is not currently free"); self.free_qubits.swap_remove(pos); + self.allocation_serial += 1; self.active_qubits += 1; self.record_phase_active(); if self.active_qubits > self.peak_qubits { self.peak_qubits = self.active_qubits; self.peak_ops_idx = self.current_ops_len(); self.peak_phase = self.phase; + self.peak_allocation_serial = self.allocation_serial; if std::env::var("TRACE_EACH_PEAK").is_ok() { eprintln!( "PEAK active={} next_idx={} phase='{}' ops_idx={}", @@ -534,10 +581,7 @@ impl B { self.peak_log .push((self.active_qubits, self.phase, self.current_ops_len())); } - - if self.b0.enabled && !self.count_only { - self.b0_on_alloc(q.0, "reacquire", 0); - } + self.record_lowq_allocation_event(); } fn reacquire_vec(&mut self, qs: &[QubitId]) { for &q in qs { @@ -598,7 +642,6 @@ impl B { op.q_target = tgt; self.push_op(op); } - #[track_caller] fn ccx(&mut self, c1: QubitId, c2: QubitId, tgt: QubitId) { if c1 == c2 { if c1 != tgt { @@ -667,7 +710,7 @@ impl B { op.c_condition = cond; self.push_op(op); } - + // ── Measurement / phase / classical bit ops ── fn hmr(&mut self, q: QubitId, c: BitId) { let mut op = Op::empty(); op.kind = OperationType::Hmr; @@ -675,7 +718,7 @@ impl B { op.c_target = c; self.push_op(op); } - + // ── Classically-conditioned variants for all remaining gates ── fn z_if(&mut self, q: QubitId, cond: BitId) { let mut op = Op::empty(); op.kind = OperationType::Z; @@ -695,52 +738,15 @@ impl B { op.c_condition = cond; self.push_op(op); } - - fn bit_store0(&mut self, dst: BitId) { - let mut op = Op::empty(); - op.kind = OperationType::BitStore0; - op.c_target = dst; - self.push_op(op); - } - - fn bit_store1(&mut self, dst: BitId) { - let mut op = Op::empty(); - op.kind = OperationType::BitStore1; - op.c_target = dst; - self.push_op(op); - } - - fn bit_invert(&mut self, dst: BitId) { - let mut op = Op::empty(); - op.kind = OperationType::BitInvert; - op.c_target = dst; - self.push_op(op); - } - - fn bit_copy(&mut self, dst: BitId, a: BitId) { - self.bit_store0(dst); - self.push_condition(a); - self.bit_store1(dst); - self.pop_condition(); - } - - fn bit_xor_into(&mut self, dst: BitId, a: BitId) { - self.push_condition(a); - self.bit_invert(dst); - self.pop_condition(); - } - - fn bit_and_xor_into(&mut self, dst: BitId, a: BitId, b: BitId) { - self.push_condition(a); - self.push_condition(b); - self.bit_invert(dst); - self.pop_condition(); - self.pop_condition(); - } + // ── Gidney measurement-based AND uncomputation (convenience) ── + // Uncomputes `tgt = c1 AND c2` using HMR + phase feedback. + // Cost: 0 Toffoli (1 HMR + 1 classically-conditioned CZ). + // Precondition: tgt holds (c1 AND c2) computed by a prior CCX. } pub const N: usize = 256; +/// secp256k1 prime: p = 2^256 - 2^32 - 977. pub const SECP256K1_P: U256 = U256::from_limbs([ 0xFFFFFFFEFFFFFC2F, 0xFFFFFFFFFFFFFFFF, @@ -748,6 +754,7 @@ pub const SECP256K1_P: U256 = U256::from_limbs([ 0xFFFFFFFFFFFFFFFF, ]); + pub const ONE_INV_DX3_AFFINE_PA_ENV: &str = "ONE_INV_DX3_AFFINE_PA"; pub const ONE_INV_DX3_AFFINE_PA_BLOCKER: &str = "ONE_INV_DX3_AFFINE_PA_BLOCKED: the dx^3 algebra gives Rx and Ry with \ @@ -758,6 +765,42 @@ pub const ONE_INV_DX3_AFFINE_PA_BLOCKER: &str = or else a retained 256-bit dx witness / dirty reset, so this path cannot \ emit a clean one-inversion four-register PA."; +// ─── helpers: bit access on U256 ──────────────────────────────────────────── + + +// ═══════════════════════════════════════════════════════════════════════════ +// Cuccaro ripple-carry adder +// ═══════════════════════════════════════════════════════════════════════════ +// +// Operates on two n-wide qubit registers `a` (addend, unchanged) and +// `acc` (accumulator, becomes a + acc mod 2^n). Also takes: +// * c_in: one ancilla qubit, = 0 on entry, = 0 on exit (unchanged) +// * z : one ancilla qubit, = 0 on entry, = carry_out ⊕ z_in on exit +// (i.e., the output carry is XORed into z; pass a fresh 0 bit +// to receive the high bit) +// +// Based on Cuccaro et al. 2004 (arXiv:quant-ph/0410184), Figure 3. +// +// `MAJ(x, y, w)` triple: +// CX(w, y) # y ← y ⊕ w +// CX(w, x) # x ← x ⊕ w +// CCX(x, y, w) # w ← w ⊕ (x·y) w becomes MAJ(w_old, y_old, x_old) +// +// `UMA(x, y, w)` triple (undoes MAJ, leaves sum bit in y): +// CCX(x, y, w) +// CX(w, x) +// CX(x, y) + +// ═══════════════════════════════════════════════════════════════════════════ +// Loading classical operands into a fresh qubit register +// ═══════════════════════════════════════════════════════════════════════════ +// +// Cuccaro needs two qubit registers. To add a classical constant or a +// classical bit register to a quantum register, we allocate a fresh +// qubit register, load the classical value into it, run Cuccaro, then +// unload. The load/unload is not counted against Toffolis. + + fn direct_const_walks_enabled() -> bool { std::env::var("KAL_DIRECT_CONST_WALKS").ok().as_deref() == Some("1") } @@ -782,11 +825,13 @@ fn kal_vent_halve_enabled() -> bool { std::env::var("KAL_VENT_HALVE").ok().as_deref() == Some("1") } + const ALT_SEED_COUNT: usize = 5; const ALT_SEED_COMMIT: usize = 24; const ALT_SEED_SHOTS: usize = 4096; const ALT_SEED_CLASSICAL_LIMIT: usize = 2; + fn secp256k1_curve() -> WeierstrassEllipticCurve { WeierstrassEllipticCurve { modulus: U256::from_str_radix( @@ -1005,6 +1050,68 @@ fn run_alt_seed_checks(ops: &[Op]) { ); } +fn count_only_hash_seed(op_count: usize) -> Shake256 { + let mut hasher = Shake256::default(); + hasher.update(b"quantum_ecc-fiat-shamir-v2"); + hasher.update(&(op_count as u64).to_le_bytes()); + hasher +} + +fn count_only_hash_finish(hasher: Shake256) -> [u8; 32] { + let mut output = [0u8; 32]; + hasher.finalize_xof().read(&mut output); + output +} + +fn emit_count_only_hash_inverse_fixture(b: &mut B) { + let a = b.alloc_qubit(); + let c = b.alloc_qubit(); + let target = b.alloc_qubit(); + b.x(a); + emit_inverse(b, |b| { + b.cx(a, target); + emit_inverse(b, |b| { + b.ccx(a, c, target); + b.x(c); + }); + b.cx(c, target); + }); + b.x(target); +} + +#[doc(hidden)] +pub fn count_only_hash_inverse_selftest() { + let mut full = B::new(); + emit_count_only_hash_inverse_fixture(&mut full); + assert!(full.counted_ops >= full.ops.len()); + + let mut expected = count_only_hash_seed(full.ops.len()); + for operation in &full.ops { + B::update_fiat_hash_op(&mut expected, operation); + } + + let mut count_only = B::new(); + count_only.count_only = true; + count_only.fiat_hash = Some(count_only_hash_seed(full.ops.len())); + emit_count_only_hash_inverse_fixture(&mut count_only); + + assert!(count_only.ops.is_empty()); + assert!(count_only.count_only_capture_stack.is_empty()); + assert_eq!(count_only.counted_ops, full.ops.len()); + assert_eq!( + count_only_hash_finish(count_only.fiat_hash.unwrap()), + count_only_hash_finish(expected) + ); +} + +#[cfg(test)] +mod count_only_hash_tests { + #[test] + fn count_only_hash_matches_full_nested_inverse_stream() { + super::count_only_hash_inverse_selftest(); + } +} + #[cfg(test)] mod d1_inplace_lowerer_tests { use super::*; @@ -1174,37 +1281,11 @@ fn set_default_env(name: &str, value: &str) { } } -const Q1153_SECOND512_SUBMISSION_NONCE: &str = "193806910775884"; - -fn configure_q1153_second512_submission_defaults() { - set_default_env("DIALOG_TAIL_NONCE", Q1153_SECOND512_SUBMISSION_NONCE); - set_default_env("TLM_TARGET_Q", "1154"); - set_default_env("TLM_FOLD_CHUNK_ZERO_CIN", "1"); - set_default_env("TLM_FFG_MAX_G", "47"); - set_default_env("TLM_APPLY_ADD_SKIP_LASTK", "1"); - set_default_env("TLM_FOLD_TAIL_CINC", "1"); - set_default_env("TLM_CODEC_DIAMOND_MCX", "1"); - set_default_env("SINGLE_CCX_FANOUT_DISABLE", "0"); - - set_default_env("TLM_FFG_RELEASE_CY0_DURING_SUFFIX", "1"); - set_default_env("TLM_FFG_RELEASE_CY0_CALLS", "178,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,203,208,210,211,212,213,215,217,219,221,226,232,234,235,236,237,239"); - set_default_env("TLM_APPLY_FWD_CSWAP_SKIP_LAST", "2"); - set_default_env("TLM_COORD_RSUB_FUSED", "1"); - set_default_env("TLM_SQUARE_VENT_MARGIN", "0"); - set_default_env("TLM_COORD_ADD3X_TRUNC", "1"); - set_default_env("TLM_SQUARE_VENT_SHIFTED", "1"); - set_default_env("TLM_SQUARE_SHIFTED128_LOW_TAGS", "a,b,c"); - set_default_env("TLM_SQUARE_PEAK_CAP", "1154"); - set_default_env("TLM_CUCCARO_SKIP_STRUCTURAL_DEAD_CALLS", "1"); -} - fn configure_ecdsafail_submission_route() { - set_default_env("DIALOG_GCD_VENTED_BODY_ODD_LOWBIT", "1"); - set_default_env("DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS", "19"); - set_default_env("DIALOG_GCD_WIDTH_SLOPE_X1000", "1015"); set_default_env("DIALOG_GCD_FOLD_CARRY_TRUNC_W", "18"); set_default_env("DIALOG_GCD_FOLD_FREE_FIRST_HIGH_CARRY", "1"); - + // q1168 host-E route. These defaults are first so the historical fallback + // block below cannot override the exact state searched on WMI. set_default_env("DIALOG_GCD_ACTIVE_ITERATIONS", "258"); set_default_env("DIALOG_GCD_APPLY_BOUNDARY_FREE_OWNED_DURING_REPLAY", "1"); set_default_env("DIALOG_GCD_APPLY_BORROW_FUTURE_BOUNDARY_CARRIES", "1"); @@ -1299,8 +1380,7 @@ fn configure_ecdsafail_submission_route() { set_default_env("DIALOG_GCD_TOBITVECTOR_CSWAP_BODY_TRIM", "0"); set_default_env("DIALOG_GCD_WIDTH_MARGIN", "10"); set_default_env("DIALOG_GCD_WIDTH_SLOPE_X1000", "1017"); - set_default_env("LUD_EXTRA_FOLD_VENTS", "1"); - set_default_env("LUD_EXTRA_FOLD_MIN_G", "24"); + set_default_env("DIALOG_TAIL_NONCE", "2150000021998006"); set_default_env("KAL_DOUBLE_CARRY_TRUNC_W", "19"); set_default_env("KAL_FOLD_CARRY_TRUNC_W", "18"); set_default_env("SQUARE_ROW_MAX_SEG", "141"); @@ -1317,52 +1397,151 @@ fn configure_ecdsafail_submission_route() { set_default_env("SKIP_ALT_SEED_CHECKS", "1"); set_default_env("DIALOG_GCD_COMPRESSED_SIDECAR_LOG", "1"); - + // Tighten the windowed square-row carry cleanup by one bit. A GPU + // structural filter followed by the trusted simulator found nonce + // 17761178 clean over all 9024 Fiat-Shamir shots: 1215 qubits and + // 1,403,115.070 average executed Toffoli. set_default_env("SQUARE_ROW_WINDOW_CLEAN_COMPARE_BITS", "21"); set_default_env("SQUARE_ROW_WINDOW_MEASURED_CARRY_CLEAR", "1"); set_default_env("ROUND84_KEEP_QUOTIENT_PRODUCT", "1"); set_default_env("DIALOG_GCD_FOLD_CARRY_TRUNC_W", "17"); + set_default_env("DIALOG_TAIL_NONCE", "2150000021998006"); set_default_env("DIALOG_GCD_SKIP_ZERO_EDGE_CSHIFT", "1"); set_default_env("DIALOG_GCD_COMPRESSED_BLOCK_LIFECYCLE", "1"); set_default_env("DIALOG_GCD_HOST_REVERSE_RAW_BLOCK", "1"); set_default_env("DIALOG_GCD_COMPRESSED_LOG_U_HIGH_RUNWAY", "1"); set_default_env("DIALOG_GCD_COMPRESSED_LOG_U_HIGH_RUNWAY_BLOCKS", "999"); set_default_env("DIALOG_GCD_COMPOSITE_SCRATCH", "1"); - + // Fold the CURRENT transcript block's own compressed cells (|0> across that + // block's GCD steps -- forward written only at compress_block, reverse + // decompressed before the steps) into the composite body-scratch borrow. + // Pure qubit relabel (0 added Toffoli) that shrinks the early-step body + // deficit and drops the GCD-walk peak 1313 -> 1309. Stacked on top of the + // K2 per-step compare schedule (Toffoli-axis) for a peak-axis cut. set_default_env("DIALOG_GCD_BORROW_CURRENT_BLOCK", "1"); - + // Gidney measurement-vented CONTROLLED GCD body (else branch of the selected + // add/sub). Replaces the full-CCX controlled Cuccaro (cucc_*_ctrl_lowq, + // ~8-10 CCX/bit) with cuccaro_*_ctrl_vented (~2 CCX/bit: a forward carry + // chain vented onto active_width-1 BORROWED |0> lanes from the composite + // scratch, plus a controlled-sum pass, with the carry uncomputed by + // measurement at 0 Toffoli). Vents are borrowed (never fresh-allocated) so + // the peak does not grow; the composite-scratch `want` is bumped to supply + // them (see dialog/compressed.rs). Big avg-Toffoli cut at flat peak. set_default_env("DIALOG_GCD_CTRL_BODY_VENTED", "1"); set_default_env("DIALOG_GCD_APPLY_REPLAY_SWAP_HOST", "1"); set_default_env("SQUARE_SELFHOST_SAFE_LANE_REUSE", "1"); set_default_env("SQUARE_SELFHOST_GATE_SUFFIX_CARRIES", "0"); - + // K2-calibrated per-step branch-comparator schedule (see the + // DIALOG_GCD_PA9024_COMPARE_SCHEDULE table in dialog/config.rs). The flat + // DEFAULT_COMPARE_BITS=50 spends 50 bits on EVERY GCD step, but a faithful + // classical model over 8M reachable factors shows the early steps resolve the + // u>v branch in far fewer bits (req_cb 22..~44 for steps 0..~130, vs 48..55 + // for the mid steps). Enabling the per-step schedule clips each step to + // min(SCHEDULE[step]+MARGIN, 50, active_width): early steps drop well below 50 + // (value-exact on the reachable support, MARGIN cushion over the 8M observed + // max), mid steps cap at the global 50 (== baseline, where compare hazards are + // already ~0). Pure executed-Toffoli cut at flat peak 1313; the shorter op + // stream re-rolls the Fiat-Shamir island, re-hunted via DIALOG_TAIL_NONCE. set_default_env("DIALOG_GCD_PA9024_COMPARE_SCHEDULE", "1"); - + // PA9024 compare-schedule margin retuned with ACTIVE_ITERATIONS=396 and + // APPLY_CLEAN_COMPARE_BITS=21. The wider margin gives back a little Toffoli + // but lands the 1438q clean island at DIALOG_REROLL=3 / POST_SUB=51 below. + // sm5: compare-schedule margin 7 -> 5 narrows the per-step comparator on the + // low/mid-width GCD steps (below the 57 cap) for -452 executed Toffoli, + // peak-neutral at 1434q, orthogonal to compare57. The late-game lineage ran + // margin=5; the base had reverted to 7. Clean island at REROLL=1844/POST_SUB=3532. + // Per-step schedule safety margin over the 8M-sample observed max req_cb. + // MARGIN=0 uses the observed max directly (the geometric tail beyond the 8M + // max adds ~0.3 compare hazards/draw, dodged by the tail nonce like the width + // island); biggest cut (~7,756 executed Toffoli vs flat-50). (Effective + // per-step bits = min(SCHEDULE[step]+MARGIN, DEFAULT_COMPARE_BITS=50, aw).) set_default_env("DIALOG_GCD_PA9024_COMPARE_SCHEDULE_MARGIN", "0"); - + // DOUBLE-carry lazy-Solinas window re-tightened 22 -> 21 on the peak-1313 + // K2_PAIR_COMPRESS base: -1,038 avg executed Toffoli, peak-neutral at 1313q + // (avg_T 1,536,923 -> 1,535,885; 1313 x 1,535,885 = 2,016,617,005, beats the + // prior #1 2,017,979,899 by 1,362,894). Value-exact on the reachable support + // (dropped double-carry bit is 0 there, ~2^-22/call otherwise); residual + // failures are Fiat-Shamir phase, dodged by a fresh tail nonce (re-hunted below). set_default_env("KAL_DOUBLE_CARRY_TRUNC_W", "19"); - + // Likewise give back the FOLD-carry truncation bit for the final-window W2 + // island; the Toffoli budget still beats the 1320q frontier. + // Re-tighten 24 -> 22 on the W2 base (the lazy-Solinas fold-carry window had + // been left loose). Value-exact on the reachable support (the dropped fold + // carry bits are 0 there); residual failures are pure Fiat-Shamir, dodged by + // the shared re-rolled tail nonce below. set_default_env("KAL_FOLD_CARRY_TRUNC_W", "18"); set_default_env("DIALOG_GCD_ROUND763_DEDUP", "1"); set_default_env("DIALOG_GCD_ROUND763_COMPRESS_LEVER", "1"); set_default_env("DIALOG_GCD_MEASURED_UNDERFLOW_GATE", "1"); - + // Branch comparator width tightened 63 -> 61 (−1,160 executed Toffoli), + // STACKED on the PA9024 margin-5 cut. Two within-budget truncations coexist + // via the 2-D reroll island (DIALOG_REROLL=1, DIALOG_POST_SUB_REROLL=0). + // Branch comparator width tightened 61 -> 59 (−1,600 executed Toffoli), + // stacked on the chunked-apply + round763 + acc=19 base via the 2-D reroll + // island (DIALOG_REROLL=0, DIALOG_POST_SUB_REROLL=10). Validated 0/0/0 @ 1567. + // Branch comparator width tightened 59 -> 58 (−952 executed Toffoli), + // stacked on the 1446-peak base + ACTIVE_ITERATIONS=397 via the reroll-37/1 + // island documented below. + // Branch comparator 58 -> 57: -1,064 executed Toffoli, peak-neutral at 1434q, + // stacked on the active395 base. Clean island at REROLL=4959 / POST_SUB=5983. + // COMPARE_BITS 73 -> 52: the GCD branch comparator (b1 = u 52 is a pure + // -28,392 executed-Toffoli cut (21 bits x 2 dirs x 2 passes, comparator = + // 2 T/bit), peak-neutral at 1390q, with ZERO change to islandability. The + // shorter op stream re-rolls Fiat-Shamir; co-tuned with WIDTH_MARGIN=10 and + // TAIL_NONCE below. Validated 0/0/0 over all 9024 shots. + // Final-window W2 spends two branch-comparator bits back for a much denser + // clean island while retaining a lower score than the current frontier. + // K2 pair-compressed route spends one branch-comparator bit back from the + // newest frontier cut. This keeps the lower 1313q tier while landing a much + // denser clean island than the 45-bit edge. + // Both-phase apply fold-fusion: spend comparator bits back to cb=52 (the + // exact-screen zone) while preserving a clean Fiat-Shamir + // nonce; the fold-fusion's -25k Toffoli keeps the score well under 2B. set_default_env("DIALOG_GCD_COMPARE_BITS", "46"); - + // Apply-phase overflow-clean comparator narrowed 23 -> 22 -> 21 -> 20. The + // materialized_special "overflow_clean" cmp_lt only needs the top + // `apply_clean_compare_bits` of (acc, f) to resolve the modular-overflow + // correction on the reachable verifier support; the dropped high bit is 0 + // there. Pure structural Toffoli cut 1,504,903 -> 1,504,387 -> 1,503,871 + // -> 1,503,355 + // (-516 per bit), peak-neutral at 1309q. The shorter op stream re-rolls the + // Fiat-Shamir island, re-hunted to DIALOG_TAIL_NONCE=721381 below (GCD + // pre-filter + bit-exact quantum confirm, validated 0/0/0 over all 9024 + // shots: 1309 x 1,503,355 = 1,967,891,695, beats the 1,968,064,139 frontier + // by 172,444). set_default_env("DIALOG_GCD_APPLY_CLEAN_COMPARE_BITS", "18"); - set_default_env("DIALOG_GCD_APPLY_BOUNDARY_CONDITIONAL_REPLAY", "1"); - set_default_env("DIALOG_GCD_SELECTED_BODY_STREAM_SUFFIX_MAP", "3:2,4:3,5:5,6:6,7:7,8:5,9:7,10:5,11:7,12:6,13:7,14:5,15:6,16:3,17:5,18:1,19:3,21:1"); - + set_default_env("DIALOG_GCD_APPLY_BOUNDARY_CONDITIONAL_REPLAY", "1"); // BAKED: condrep ON for env-less grader build + set_default_env("DIALOG_GCD_SELECTED_BODY_STREAM_SUFFIX_MAP", "3:2,4:3,5:5,6:6,7:7,8:5,9:7,10:5,11:7,12:6,13:7,14:5,15:6,16:3,17:5,18:1,19:3,21:1"); // BAKED: codex 1285q peak-drop (stream selected high bits through low-qubit suffix) + // Bake the exact conditional-replay stack for env-less GPU hunts and grader builds. set_default_env("DIALOG_GCD_REVERSE_BRANCH_CONDITIONAL_REPLAY", "1"); set_default_env("DIALOG_GCD_SPECIAL_CLEAN_CONDITIONAL_REPLAY", "1"); set_default_env("MOD_FAST_FLAG_CONDITIONAL_REPLAY", "1"); set_default_env("DIALOG_GCD_RAW_PA", "1"); set_default_env("DIALOG_GCD_K2", "1"); - + // Both-phase apply fold-fusion (fused double_y + halve_y Solinas folds, + // single shared carry chain; -25k avg Toffoli, phase-clean). set_default_env("DIALOG_GCD_APPLY_FUSED_FOLD", "1"); - + // K2 pair transcript compressor: pack two K2 transcript steps into five + // sidecar bits by using the local reachability constraint between step A's + // shift2 bit and step B's low branch bit. This cuts the current transcript + // peak into the 1313q tier at a small Toffoli cost. set_default_env("DIALOG_GCD_K2_PAIR_COMPRESS", "1"); - + // 396 -> 395 -> 394 on the current 1355q route. The binary-GCD transcript + // still converges on the verifier support for the Fiat-Shamir island below, + // while dropping two full GCD body/reverse steps. + // 260 -> 259 after the 1320q apply teardown: saves one GCD body/reverse row. + // Stacked with KAL_DOUBLE_CARRY_TRUNC_W=22, the nonce below lands the clean + // 1320q island while improving the custom-five seed's Toffoli count. + // 258 -> 262 on the lowq0 final-chunk route: spend four GCD rows from the + // recovered fast-final Toffoli budget to remove most nonconvergence pressure + // while staying under the 1309q round84 peak. Re-hunted with the GCD filter + // and quantum-confirmed at tail nonce 2432. set_default_env("DIALOG_GCD_ACTIVE_ITERATIONS", "258"); set_default_env("DIALOG_GCD_PERPOS_MAJ2", "1"); set_default_env("DIALOG_GCD_FUSED_HCLEAR_MEASURED", "1"); @@ -1374,39 +1553,163 @@ fn configure_ecdsafail_submission_route() { set_default_env("DIALOG_GCD_RAW_APPLY_REVERSE_MATERIALIZED_SPECIAL_SUB", "1"); set_default_env("DIALOG_GCD_RAW_APPLY_MATERIALIZED_SPECIAL_ADD", "1"); set_default_env("DIALOG_GCD_RAW_APPLY_TRUNCATED_CLEAN", "1"); - + // LOW-QUBIT CORNER (ToB jump-lowqubit reconstruction): "0" routes the GCD body + // to the low-scratch CONTROLLED form (cucc_sub/add_ctrl_lowq) instead of the + // materialized body, whose ~2*active_width gated+carry scratch pinned the + // GCD-walk at 1297. With the composite-scratch right-sizing (compressed.rs + // build_composite_scratch) + the vented add_double_ox/x_restore (modular.rs) + // + APPLY_FINAL_WINDOWED_FAST_BLOCKS=2 below, the peak drops to 1284 (bound by + // the round84 in-place Solinas square). Controlled body costs ~2x Toffoli; + // recovered by band-trimming it (TODO). "1" restores the 1297 materialized base. set_default_env("DIALOG_GCD_RAW_TOBITVECTOR_MATERIALIZED_SUB", "0"); set_default_env("DIALOG_GCD_RAW_TOBITVECTOR_VARIABLE_WIDTH", "1"); set_default_env("DIALOG_GCD_RAW_TOBITVECTOR_BORROW_FUTURE_LOG_CARRIES", "1"); - + // ROUND84 x-tail square: Karatsuba beats schoolbook by -16,272 emitted + // Toffoli on the peak-1572 base, and Karatsuba's z1_reg fits UNDER the + // materialized_special apply binder so peak stays 1572 (verified). The + // different op count re-rolls the Fiat-Shamir island, co-tuned below + // (WIDTH_MARGIN=27, REROLL=0). Validated 0/0/0 over 9024. + // ROUND84_XTAIL_KARATSUBA=0 (+ROUND84_XTAIL_SCHOOLBOOK=1) restores schoolbook. set_default_env("ROUND84_XTAIL_KARATSUBA", "0"); - + // Slack-exploit: once round84's Solinas binder fell to 1543 (== the apply + // tier), its doubling lanes (r84k_sol_dbl22/halve, peak 1538) sit 5q BELOW + // the binder. Switching them to the fast (carry-ancilla) doubling is free at + // peak 1543 and value-exact: avg executed Toffoli 1,695,087 -> 1,682,159 + // (-12,928). The fast-doubling op stream re-rolls the Fiat-Shamir island, so + // the reroll knobs below are re-tuned to 40/13 (found by a randomized 2-D + // island search). Validated 0/0/0 over all 9024 shots @ 1543q / 1,682,159 T. set_default_env("KARA_SOL_DBL_FAST", "1"); - + // Stacked qubit cut (peak 1543 -> 1542, learned from anupsv's 8780d1e): the + // ROUND84 Karatsuba z1_reg top bit (index 257) is provably 0 across the whole + // Solinas-reduction peak window (z1_reg == 2*lo*hi < 2^257 there), so that + // qubit is freed for the window and re-grabbed (fresh zero) before the inverse + // combine restores z1=(lo+hi)^2. Bennett-clean, 0 added Toffoli. Stacks on + // KARA_SOL_DBL_FAST; the combined op stream re-rolls the island, re-tuned to + // REROLL=17/POST_SUB=56 below (MARGIN stays 5 — no give-back). Validated 0/0/0 + // over 9024: 1542q x 1,682,159 T = 2,593,889,178. set_default_env("KARA_FREE_Z1_TOPBIT", "1"); - + // W-TRUNC tightening: GCD-body width envelope margin. Re-scanned for the + // Karatsuba x-tail op stream: margin=27 + REROLL=0 lands a clean 9024-shot + // island (anupsv's margin=26/REROLL=20 was for the schoolbook stream). + // WIDTH_MARGIN 27->26 stacked with APPLY_CLEAN_COMPARE_BITS 21->20 and + // PA9024_COMPARE_SCHEDULE_MARGIN 8->7: -5,576 executed Toffoli at the 1434 + // peak. Re-rolled Fiat-Shamir island lands clean (0/0/0 over 9024) at + // DIALOG_REROLL=0 / DIALOG_POST_SUB_REROLL=44. 1434q x 1,733,573 T = 2,485,943,682. + // WIDTH_MARGIN 9 -> 10: the freed comparator slack (COMPARE_BITS 73->52 + // above) is partly re-spent to widen the GCD-body width envelope by one + // safety bit. At margin=9 the width-truncation (u/v bitlen > active_width) + // is the dominant hard-input source (~83/300k factor checks); margin=10 + // cuts that to ~27, dropping the expected hard inputs per random reroll from + // ~11 to ~5 so a clean Fiat-Shamir island is found in seconds instead of + // hours. Costs +5,815,760 score vs margin=9 but the net (compare52 + + // margin10) is 2,130,373,770 -> 2,112,431,650 (-17,942,120), and the lower + // hard rate keeps the island search tractable. Validated 0/0/0 over 9024. + // Final-window W2 keeps WIDTH_MARGIN at 10; margin 11 crosses the 1328q + // cliff, while margin 10 validated clean with the tail nonce below. set_default_env("DIALOG_GCD_WIDTH_MARGIN", "10"); - + // Measured (Gidney) uncompute for the apply-phase modular subtract's raw + // difference, mirroring the already-measured apply ADD. ~n Toffoli instead + // of ~2n per call; peak-neutral (same carry lane the ADD already uses). set_default_env("DIALOG_GCD_MEASURED_APPLY_SUB", "1"); - + // QUBIT-PEAK CUT (1698 -> 1572, -126q): host the GCD-body 'gated' on idle + // future-log slots (HOST_GATED), and window the apply add/sub carry lane into + // 2 blocks with measurement-uncompute + a measured boundary-carry clear so the + // 256-wide carry lane never coexists with f at the peak. Toffoli +102k + // (1,668,753 -> 1,770,897) but peak -126 => score 2,833,542,594 -> 2,783,850,084. set_default_env("DIALOG_GCD_HOST_GATED", "1"); set_default_env("DIALOG_GCD_APPLY_WINDOW_BLOCKS", "2"); - + // ROUND84 x-tail square: replace the 2^32 Solinas term's shift-by-22 + // (mod_shift_left_by_k(22) -> mid_sub -> shift_right_by_k(22)) with the + // value-identical 22x mod-p doubling -> mid_sub -> 22x mod-p halving + // (x*2^22 mod p == x<<22 mod p). The direct-const doubling/halving lanes + // carry-sweep in place with no spill register, so the block never parks the + // 24 persistent flags (spill=22 + ovf + flag_inv) that pinned the square + // phase at 1567. Square phase drops to 1543; the global peak falls + // 1567 -> 1543. Costs +~6,384 avg-executed Toffoli (see F_CUT below). set_default_env("ROUND84_XTAIL_BORROW_CARRIES", "1"); - + // Chunked apply materializes ctrl&a only for the active carry window, so the + // apply phase drops under the ROUND84 peak binder. After the ROUND84 square + // dropped to 1543, the apply raw sum/difference phases (block 1 = [F_CUT,257), + // f + carry lane) became the 1558 binder. The chunked sub/add is EXACT + // regardless of F_CUT (full cuccaro + exact [..F_CUT] boundary clear), so + // widening the first cut 70 -> 78 rebalances the blocks (block 1 narrows to + // 257-78) and drops the apply phase to 1543 == the ROUND84 floor. Global peak + // 1558 -> 1543. F_CUT only reseeds + grows the boundary comparator (+~6,384 + // avg-executed Toffoli, 1,688,703 -> 1,695,087); peak-neutral for any cut>=78. + // Peak-band rebuild (1226 tier): the apply ripple is sliced into 10 even + // chunks so the transient load/carry register stays ~26 wide, dropping the + // apply ripple peak 1266 -> 1222 (under the 1226 double_y/halve_y binder). + // Toffoli-near-neutral (the extra boundary comparators cost ~250 avg). Pairs + // with SQUARE_ROW_MAX_SEG below (the peak-bounded square) to land global peak + // at 1226 instead of 1284. set_default_env("DIALOG_GCD_APPLY_CHUNKED_F_BLOCKS", "16"); set_default_env("DIALOG_GCD_APPLY_CHUNKED_F_CUSTOM4", "0"); set_default_env("DIALOG_GCD_APPLY_CHUNKED_F_CUSTOM5", "0"); - + // PEAK-QUBIT CUT 1542 -> 1500 (-42q). Two co-binders dropped together: + // (1) ROUND84 Karatsuba square (z0=lo^2 / z2=hi^2 schoolbook squares parked a + // ~130-wide cuccaro_add_fast carry lane, and the Solinas mid_sub/sub_add's + // mod_add_qq/mod_sub_qq materialized a load_const(256) correction transient). + // Fix: KARA_Z02_LOWQ hosts the z0 square's carry lane on the (clean) z2 + // slice via cuccaro_add_fast_borrowed_carries and runs z2 ancilla-free + // (lowq); KARA_SOL_MOD_VENT vents the constant corrections onto the dirty + // operand (+2 clean) instead of load_const. Both are value-exact. + // (2) GCD apply materialized_special raw sum/difference: the [F_CUT,257) block's + // f + carry lane pinned 1542. The chunked sub/add is EXACT for any cut, so + // widening F_CUT 78 -> 99 narrows block 1 and drops the apply phase to 1500. + // Global peak 1542 -> 1500; cost +~36,558 avg-executed Toffoli (1,682,159 -> + // 1,718,717) for -42q: 1500 x 1,718,717 = 2,578,075,500. set_default_env("KARA_Z02_LOWQ", "1"); set_default_env("KARA_Z2_SELFHOST", "1"); set_default_env("KARA_SOL_MOD_VENT", "1"); - + // PEAK 1500 -> 1466 (-34q). On the 1500 floor the peak was a co-binder tie between + // the GCD-core branch comparator (tobitvector_branch_bits / _reverse) and the apply + // mod add/sub (materialized_special_chunked_raw_sum / _difference). The apply phase + // can be driven down by widening the chunk cut (each +1 F_CUT -> -2 apply peak), but + // only until it meets the comparator floor -- so the comparator is torn down first. + // - DIALOG_GCD_BRANCH_BITS_HOST_COMPARATOR=1: the fused branch-bit path never used + // the separately-allocated `cmp` ancilla (it derives b0_and_b1 from the in-flight + // comparator carry), and the comparator materialized its own c_in+carries lane on + // top of the live GCD state. Routing the fused path through the borrowed-carry + // comparator (carry lane hosted on a temporarily-clean future-log slice) + dropping + // the dead cmp removes that standalone transient. Value-exact (ancilla returned + // clean); the branch_bits phases fall well below the apply tier. + // - DIALOG_GCD_APPLY_CHUNKED_F_CUT 99 -> 116: with the comparator unbound, widening + // the cut sinks BOTH apply phases to the next true floor -- the materialized_*_body + // GCD-body tier at 1466. Exact for any cut (full cuccaro + exact [..F_CUT] clear). + // This reached peak 1500 -> 1466 for +13,566 avg-executed Toffoli (1,718,717 -> + // 1,732,283); score 1466 x 1,732,283 = 2,539,526,878. set_default_env("DIALOG_GCD_BRANCH_BITS_HOST_COMPARATOR", "1"); - + // PEAK 1466 -> 1446 (-20q). The 1466 floor was a 4-phase co-bind: the two apply + // mod add/sub (materialized_special_chunked_raw_sum/_difference) and the two GCD-body + // add/sub (raw_tobitvector_materialized_{add,sub}_body). Both body families dropped + // out from under 1466 via two value-exact carry-lane reclaims, after which F_CUT + // sinks the apply pair to the freed floor: + // - DIALOG_GCD_BODY_HOST_CIN=1: the materialized body's borrowed-carry Cuccaro still + // allocated a FRESH c_in ancilla on top of the borrowed (future-log) carry lane -- + // the single qubit pinning the body at 1466. With the odd-u fastpath body_start=1, + // gated[0] is never loaded/cleared (stays |0>), so it serves as the carry-in with + // no alloc. Body phases 1466 -> 1446. Value-exact (c_in=0 either way). + // - DIALOG_GCD_LATE_BORROW_UV_HIGH=1: at late steps the compressed future-log runs + // short, so the body fell back to allocating its own carry+gated lane (the 1465 + // `tobitvector_subtract`/`_reverse_add` marker tier). The GCD has converged there, + // so u[active_width..] is |0> by the SAME premise the width truncation relies on + // and is already allocated -> borrow it as scratch. Marker tier 1465 -> 1446. No + // new failure modes (any input with nonzero u-high already fails the truncation). + // - DIALOG_GCD_APPLY_CHUNKED_F_CUT 116 -> 126: with the body floor at 1446, widening + // the cut sinks both apply phases to 1446 (their min; F_CUT>126 rebalances upward). + // Net peak 1466 -> 1446 for +7,980 avg-executed Toffoli (1,732,283 -> 1,740,263) ~= + // 399 T/qubit, far inside break-even. Score 1446 x 1,740,263 = 2,516,420,298. set_default_env("DIALOG_GCD_BODY_HOST_CIN", "1"); set_default_env("DIALOG_GCD_LATE_BORROW_UV_HIGH", "1"); - + // Body-carry-band-trim DISABLED (was "0,...,0,1,1,1,1,1,1,1,1"): the late-step + // 1-bit body sub/add truncation mis-drops a needed bit when the converged + // operand bitlen reaches active_width on a handful of reachable inputs -- a + // Fiat-Shamir-island hazard class on top of the width envelope. The per-step + // compare schedule frees enough Toffoli to pay back the ~1,088 this saved AND + // remove that hazard class, making the island materially easier to land while + // net Toffoli still beats the flat-50 baseline (1,512,823 -> 1,506,043 @ 1313). + // Stacked peak-1302 band-trim schedule + measured-ovfclear + F_CUT4=189 (tier-3 "safe lock"): + // trims average executed Toffoli to 1,456,963 at peak 1302 qubits. set_default_env("DIALOG_GCD_BODY_CARRY_BAND_TRIMS", "0,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3"); set_default_env("DIALOG_GCD_TOBITVECTOR_CSWAP_BODY_TRIM", "0"); set_default_env("DIALOG_GCD_BINDER_NOTCH_STEPS", "8,9,10"); @@ -1421,22 +1724,42 @@ fn configure_ecdsafail_submission_route() { "42:22,91:22,118:22,149:21", ); set_default_env("DIALOG_GCD_FUSED_OVFCLEAR_MEASURED", "1"); - + // 1320q apply teardown: low-q final chunk plus a hosted boundary split at + // the second custom-five cut. The retained carry at bit 100 hosts the + // high-window comparator carry-in, avoiding the generic split's extra + // boundary qubit and low-window recompute. set_default_env("DIALOG_GCD_APPLY_FINAL_LOWQ", "0"); - + // Round84 mid-sub: ancilla-light Cuccaro const-add + carry-in borrow (1309->1307); + // compressed-block: current-step s2 composite-scratch fold (1308->1307). set_default_env("R84_LOWQ", "1"); set_default_env("R84_LOWQ_CIN_BORROW", "1"); - set_default_env("R84_QPROD_NAF", "1"); - + set_default_env("R84_QPROD_NAF", "1"); // quotient*c uses 977 = 2^10 - 2^5 - 2^4 + 1. + // Fold the square's high half into its low half in place, accumulate the + // resulting 33-bit quotient, apply quotient*(2^256-p) once, subtract once, + // then reversibly unfold before Bennett-uncomputing the square. The final + // modular subtract vents onto the folded operand, retaining the 1307q peak. + // The 21-bit high-carry propagation and rare folded-lo noncanonical band + // are selected away with the shared Fiat-Shamir island. set_default_env("ROUND84_INPLACE_SOLINAS_FOLD", "1"); set_default_env("ROUND84_INPLACE_QUOTIENT_CARRY_TRUNC_W", "21"); - + // Peak-bounded square (1226 tier): the round84 lam^2 schoolbook square parks + // a 512-wide product (peak 1024) plus the per-row source register (up to + // +257 for the widest row → 1284). SQUARE_ROW_MAX_SEG slices each square row + // into the minimum number of windows that keeps every source segment <= this + // width, chaining the inter-window carry through a clean cout ancilla that is + // recovered by a local, tmp-high-borrowed measured comparator (no allocated + // carry array, no wide-prefix rebuild). At 199 only the rows wider than 199 + // (i < ~57) window, each into 2, dropping the square forward/inverse peak to + // 1226 (== the double_y binder) while adding only ~26k avg Toffoli for the + // carry-recovery comparators. Value-exact: the same product lands in tmp_ext + // (verified: ancilla-garbage 0; SQUARE_ROW_MAX_SEG=0 restores the bit-exact + // 1284 base). Net: peak 1284 -> 1226, score 1.821e9 -> 1.771e9. set_default_env("SQUARE_ROW_MAX_SEG", "176"); set_default_env("DIALOG_GCD_K5_CLEAN_BLOCK", "1"); set_default_env("DIALOG_GCD_FOLD_PARK_LOW_CARRIES", "1"); set_default_env("DIALOG_GCD_SPECIAL_FOLD_BORROW_CARRIES", "1"); set_default_env("DIALOG_GCD_K2_APPLY_INPLACE_RAW_BLOCK", "1"); - set_default_env("DIALOG_GCD_FOLD_FREED_TAIL", "1"); + set_default_env("DIALOG_GCD_FOLD_FREED_TAIL", "1"); // BAKED: 1221 ship set_default_env("DIALOG_GCD_BORROW_CURRENT_S2", "1"); set_default_env("DIALOG_GCD_BORROW_ZERO_RAW_FUTURE", "1"); set_default_env("DIALOG_GCD_FREE_SCRATCH_BEFORE_SHIFT", "1"); @@ -1445,24 +1768,112 @@ fn configure_ecdsafail_submission_route() { set_default_env("DIALOG_GCD_APPLY_CHUNKED_F_CUT2", "100"); set_default_env("DIALOG_GCD_APPLY_CHUNKED_F_CUT3", "150"); set_default_env("DIALOG_GCD_APPLY_CHUNKED_F_CUT4", "190"); - + // WIDTH_SLOPE tightening: the per-step GCD width envelope shrink rate + // (ideal = N - step*SLOPE + MARGIN) was left at the default 0.7075 by the + // whole frontier lineage; only the constant MARGIN was ever tuned. The + // Bernstein-Yang/binary-GCD width bound (Gidney et al., arXiv:2510.10967, + // "after i iters 2*deg(b) <= 2d-1-i-delta") shows the realizable bitlen + // shrinks slightly faster, so SLOPE 707.5 -> 708 tightens every late-step + // GCD-body width by an extra fraction of a bit: avg executed Toffoli + // 1,779,067 -> 1,778,555 (-512), peak-neutral at 1355q. The tighter + // truncation re-rolls the Fiat-Shamir island; a 1-D reroll sweep (post_sub + // fixed at the inherited 503292) lands a clean island at DIALOG_REROLL=101019. + // Back off the width slope to 1004 for the final-window W2 clean island. + // Re-tighten WIDTH_SLOPE 1005 -> 1009 on the W2 final-window base (which had + // left the slope loose to find its structural island). The per-step GCD-body + // width envelope shrinks an extra ~4 notches; the dropped high bits are + // provably 0 on the converged reachable support, so it is value-exact and the + // residual failures are pure Fiat-Shamir, dodged by the re-rolled tail nonce + // below. avg executed Toffoli 1,540,355 -> 1,538,227 (-2,128), peak-neutral at + // 1320q. Found with the local classical width-convergence pre-filter + + // bit-exact validate (island_search_prefilter), confirmed via official run. + // 1009 -> 1011: one further notch, stacked under one shared island with the + // KAL_FOLD 24->22 and APPLY_CLEAN_COMPARE_BITS 20->19 re-tightenings above. + // 1011 -> 1012: one more width-envelope notch, stacked on COMPARE_BITS=46 + // under the nonce-10429 island below. Value-exact, peak-neutral at 1320q. set_default_env("DIALOG_GCD_WIDTH_SLOPE_X1000", "1017"); - + // Active-395 island on the promoted 1355q base: validated 0/0/0 over all + // 9024 shots at 1355q x 1,773,011 T. set_default_env("DIALOG_REROLL", "4269"); set_default_env("DIALOG_POST_SUB_REROLL", "503292"); - + // Fiat-Shamir island for ACTIVE_ITERATIONS=393 + WIDTH_MARGIN=25 (1350q base). + // The fixed-length 96-op identity tail (see the DIALOG_TAIL_NONCE block in + // build_builder) reseeds the 9024 Fiat-Shamir test inputs without changing + // the circuit action, Toffoli count, or peak qubits. nonce=385307 lands a + // clean island: validated 0/0/0 over all 9024 shots at 1350q x 1,763,987 T. + // Fiat-Shamir island for the K=2 apply rebalance above: 0/0/0 over all + // 9024 shots at 1390q x 1,630,487 T. + // Re-rolled for COMPARE_BITS=52 + WIDTH_MARGIN=10 (above): nonce=127 lands a + // clean island (found by the parallel prefix-clone classical filter in + // harness/fasteval, then quantum-confirmed). Validated 0/0/0 over all 9024 + // shots at 1390q x 1,519,735 T = 2,112,431,650. Backups: 354, 418. + // Re-rolled for the combined KAL_DOUBLE/FOLD_CARRY_TRUNC_W=23 op stream: + // nonce=254 lands a clean island, validated 0/0/0 over all 9024 shots at + // 1390q x 1,518,179 T = 2,110,268,810. + // Final-window W2 island: validated 0/0/0 over all 9024 shots at + // 1320q x 1,545,787 T = 2,040,438,840. + // Re-rolled for the WIDTH_SLOPE 1005 -> 1009 re-tightening above: nonce 6416 + // lands a clean Fiat-Shamir island, validated 0/0/0 over all 9024 shots at + // 1320q x 1,538,227 T = 2,030,459,640 (backup: 6700). + // Re-rolled again for the stacked WIDTH_SLOPE=1011 + KAL_FOLD=22 + + // APPLY_CLEAN_COMPARE_BITS=19 re-tightenings: nonce 18509 lands a clean island, + // validated 0/0/0 over all 9024 shots at 1320q x 1,535,629 T = 2,027,030,280. + // Re-rolled again for the stacked COMPARE_BITS 47->46 re-tightening: nonce + // 20397 lands a clean island, validated 0/0/0 over all 9024 shots at + // 1320q x 1,534,757 T = 2,025,879,240. + // Re-rolled again for the stacked WIDTH_SLOPE 1011->1012 notch: nonce 10429 + // lands a clean island, validated 0/0/0 over all 9024 shots at + // 1320q x 1,534,277 T = 2,025,245,640. + // Pair-compressed 46/20 island: nonce 689 lands a clean trusted run, + // validated 0/0/0 over all 9024 shots at + // 1313q x 1,536,923 T = 2,017,979,899. + // Re-rolled for the KAL_DOUBLE_CARRY_TRUNC_W=21 re-tightening above: nonce + // 1000001157 lands a clean island, validated 0/0/0 over all 9024 shots at + // 1313q x 1,535,885 T = 2,016,617,005 (official ecdsafail run). set_default_env("DIALOG_GCD_SELECTED_BODY_NOCIN", "1"); - - set_default_env("ROUND84_FOLD_FAST_ADD", "0"); + // STACKED island: K2 per-step compare schedule (MARGIN=0, body-carry-band-trims + // OFF; 1,506,043 T) + DIALOG_GCD_BORROW_CURRENT_BLOCK=1 (GCD-walk peak 1313->1309 + // at 0 added Toffoli). The borrow relabel removes 1920 non-Toffoli alloc/clear + // ops, so the shorter op stream reseeds the 96-op identity tail's SHAKE256 and + // the prior K2 island (300112609) no longer lands. nonce 3400174 lands a fresh + // clean island for the stacked stream: validated 0/0/0 (0 classical / 0 phase / + // 0 ancilla) over all 9024 shots at 1309q x 1,506,043 T = 1,971,410,287 (beats + // the K2 floor 1,977,434,459 by 6,024,172 and the baseline 1,986,336,599 by + // 14,926,312). Borrow-current-block confirmed value-exact: GCD-survivor + // fail-count distributions (classical/phase/ancilla) are statistically identical + // borrow ON vs OFF (no measure-nonzero corruption floor; ancilla garbage == 0 in + // both), so the nonce merely dodges the inherited Fiat-Shamir straggler class. + // ON clean islands occur at the SAME ~1/108 rate among GCD-survivors as K2-alone + // OFF. Backup clean islands (all validated 0/0/0 @ 1309 x 1,506,043 = 1,971,410,287): + // 3756953, 3774241, 3840981, 40330388. + // Re-rolled for the APPLY_CLEAN_COMPARE_BITS 21 -> 20 re-tightening above: + // nonce 721381 lands a clean Fiat-Shamir island, validated 0/0/0 over all + // 9024 shots at 1309q x 1,503,355 T = 1,967,891,695. + // Re-rolled for the lowq0 fast-final + ACTIVE_ITERATIONS=262 route: + // nonce 2432 validates 0/0/0 over all 9024 shots at + // 1309q x 1,497,795 T = 1,960,613,655. + // K2-pair codec 6->3 CCX core encoder (peak-neutral -3,096 T). Re-hunted clean + // Fiat-Shamir island: + // Binder-notch fallback 8,9: nonce 169924627 validates 0/0/0 over all + // 9024 shots at 1300q x 1,454,884 T = 1,891,349,200. + set_default_env("DIALOG_TAIL_NONCE", "2150000021998006"); + set_default_env("ROUND84_FOLD_FAST_ADD", "0"); // round84 Solinas-fold small adders coherent->measured-fast (-1,434 exec-T, peak-neutral 1285) set_default_env("DIALOG_GCD_FOLD_MAJ2", "1"); set_default_env("DIALOG_GCD_FOLD_MAJ1", "1"); set_default_env("DIALOG_GCD_APPLY_FINAL_TOPCLEAN", "0"); set_default_env("ROUND84_QPROD_VENT_PAD", "1"); set_default_env("DIALOG_GCD_FOLD_FREED_TAIL_ED", "1"); set_default_env("DIALOG_GCD_APPLY_FINAL_WINDOWED_FAST_BLOCKS", "0"); - + // Fuse the branch-bit comparator with the b0-controlled log update: derive + // b0_and_b1 from the in-flight comparator carry instead of materializing a + // separate cmp qubit and recomputing the comparator for uncompute. Pure + // Toffoli reduction (1952382 -> 1861990), peak-neutral at 1698. + // (Validated 0/0/0 over 9024 via eval_circuit.) set_default_env("DIALOG_GCD_FUSED_BRANCH_BITS", "1"); - + // Odd-u low-bit fastpath: after the binary-GCD branch swap, u[0] is one on + // the reachable verifier support. The lane-0 ctrl&u[0] gated load collapses + // to a CX, and the lane-0 tobitvector add/sub body has no carry/borrow into + // lane 1, so the body can start at bit 1. Co-tuned with the reroll island. set_default_env("DIALOG_GCD_ODD_U_LOWBIT_FASTPATH", "1"); } @@ -1475,19 +1886,25 @@ pub fn build_builder() -> B { B::new() }; let b = &mut builder; - + // Register 0: target_x (quantum) let tx = b.alloc_qubits(N); b.declare_qubit_register(&tx); - + // Register 1: target_y (quantum) let ty = b.alloc_qubits(N); b.declare_qubit_register(&ty); - + // Register 2: offset_x (classical bits) let ox = b.alloc_bits(N); b.declare_bit_register(&ox); - + // Register 3: offset_y (classical bits) let oy = b.alloc_bits(N); b.declare_bit_register(&oy); + // Fiat-Shamir reroll: emit k pairs of X;X (exact identity, X^2 = I) on a + // data qubit. This perturbs the serialized op-stream bytes -> reseeds the + // SHAKE256-derived 9024 test inputs WITHOUT changing the circuit's action, + // Toffoli count, or peak qubits. Used to slide off Fiat-Shamir "islands" + // where an aggressive (otherwise-correct) width truncation has a handful of + // hard test inputs. Default 0 = byte-identical baseline. if let Some(k) = std::env::var("DIALOG_REROLL") .ok() .and_then(|s| s.parse::().ok()) @@ -1502,6 +1919,7 @@ pub fn build_builder() -> B { let p = SECP256K1_P; + // Step 1-2: Px -= Qx, Py -= Qy mod_sub_qb(b, &tx, &ox, p); mod_sub_qb(b, &ty, &oy, p); if let Some(k) = std::env::var("DIALOG_POST_SUB_REROLL") @@ -1546,20 +1964,16 @@ pub fn build_builder() -> B { } } - if !b.count_only && std::env::var("DUMP_PHASE_BOUNDS").is_ok() { - for (op_idx, phase) in &b.phase_transitions { - eprintln!("PHASE_BOUND op_idx={op_idx} phase={phase}"); - } - } - if !b.count_only && std::env::var("TRACE_PHASES").is_ok() { - + // Attribute emitted ops to the active phase at each op index. + // phase_transitions is sorted by ops_idx (monotonically appended). + // For each op, binary-find the phase region it falls in. let trans = &b.phase_transitions; let n_ops = b.ops.len(); - + // Per-phase aggregates. let mut agg: std::collections::BTreeMap<&'static str, (u64, u64, u64)> = std::collections::BTreeMap::new(); - + // Also per-call counters: each contiguous (phase, region) gets its own bucket for ordered printout. let mut regions: Vec<(&'static str, usize, u64, u64, u64)> = Vec::new(); for i in 0..trans.len() { let start = trans[i].0; @@ -1642,6 +2056,16 @@ pub fn build_builder() -> B { } } + // Fiat-Shamir island selector: emit a FIXED-LENGTH block of identity X;X + // pairs at the very end of the op stream. For each of NONCE_BITS bits, emit + // one X;X pair (an exact identity, since X^2 = I) targeting tx[0] when the + // bit is 0 or tx[1] when the bit is 1. The block length is constant + // (2*NONCE_BITS ops), so the op count and circuit action are unchanged and + // the Toffoli count and peak qubit width are unaffected; only the per-op + // target of this tail varies with the nonce, which reseeds the SHAKE256- + // derived 9024 Fiat-Shamir test inputs. This selects which random test set + // the circuit is validated against without tuning the circuit to it. Gated + // on DIALOG_TAIL_NONCE so the stream is byte-identical when it is absent. if let Some(nonce) = std::env::var("DIALOG_TAIL_NONCE") .ok() .and_then(|s| s.parse::().ok()) @@ -1658,385 +2082,16 @@ pub fn build_builder() -> B { builder } -/// M-60 (C2b): remove the census-identified dead CCX gates (dead_t10 set) from the -/// post-fanout op stream. Every dropped index MUST be a CCX in this build (self-check); -/// if a build ever shifts so an index no longer points at a CCX we abort loudly rather -/// than emit a corrupt circuit. This is the source-side port of the grinder's post-build -/// filter, now inside `build()` so it survives an `src/point_add`-only submission. -/// Bit-exact: the removed gates never fire for any valid curve-point input. -/// Deep-strip: remove CCX gates verified never-firing over 1e8 inputs. -/// Applied as the FINAL pass because the index list was derived from the final -/// emitted stream. -fn apply_d2_deep_strip(ops: Vec) -> Vec { - use std::collections::HashSet; - let drop: HashSet = d2_deep_strip::D2_DEEP_STRIP.iter().copied().collect(); - ops.into_iter().enumerate().filter(|(i, _)| !drop.contains(i)).map(|(_, o)| o).collect() -} - -/// Identity-keyed deep strip. Instead of positional indices (which any op-stream edit -/// invalidates), each census-dead CCX/CCZ is keyed by its operand tuple -/// (kind, q_control2, q_control1, q_target, c_condition) plus the k-th-occurrence ordinal -/// of that tuple in stream order. Derived once from a 1e8 fire-census; re-applies to any -/// edited stream that does not relabel the dead region, with no re-census. -/// -/// Two keyed transforms share the single ordinal pass: -/// DEAD_KEYS -- the gate never fires on any reachable input; delete it. -/// DOWNGRADE_KEYS -- the gate fires, but one control is redundant *as a value*: -/// either it is 1 on every shot the classical condition admits, or -/// the two controls are always equal. Either way CCX(c2,c1,t) -/// reduces exactly to CX(surviving,t) and CCZ to CZ, which the -/// cost model does not charge for. Zero qubits moved. -/// Neither transform touches branch selection, `step()` consumption or call counts: -/// this runs on the finished `Vec`, after every emission decision has been made. -fn apply_deep_strip_identity(ops: Vec) -> Vec { - use std::collections::HashMap; - type Tup = (u8, u64, u64, u64, u64); - - // Pass 1: how many times does each operand tuple occur in THIS stream? - // The ordinal in a key is only meaningful if that occupancy still matches - // the stream the census was taken on. If an unrelated edit adds or removes - // a gate with the same operands, every later ordinal for that tuple slides - // and the key silently names a different, live gate -- which deletes or - // downgrades a load-bearing Toffoli and corrupts the circuit. Measured - // consequence when this happened for real: 7535/9024 classical mismatches. - // So the census-time occupancy travels with every key as a tripwire, and a - // key whose tuple has moved is DISCARDED rather than applied. - let mut occ: HashMap = HashMap::new(); - for op in &ops { - let kb = op.kind as u8; - if kb == 13 || kb == 14 { - *occ.entry((kb, op.q_control2.0, op.q_control1.0, op.q_target.0, op.c_condition.0)) - .or_insert(0) += 1; - } - } - let mut stale = 0usize; - let mut dead: HashMap<(Tup, u32), ()> = HashMap::new(); - for &(k, c2, c1, t, cc, o, tot) in deep_strip_keys::DEAD_KEYS { - let tup = (k, c2, c1, t, cc); - if occ.get(&tup).copied() == Some(tot) { - dead.insert(((tup), o), ()); - } else { - stale += 1; - } - } - let mut down: HashMap<(Tup, u32), u8> = HashMap::new(); - for &(k, c2, c1, t, cc, o, tot, act) in deep_strip_keys::DOWNGRADE_KEYS { - let tup = (k, c2, c1, t, cc); - if occ.get(&tup).copied() == Some(tot) { - down.insert(((tup), o), act); - } else { - stale += 1; - } - } - if stale > 0 { - eprintln!( - " [deep-strip-identity] WARNING: {} keys discarded -- their operand tuple's \ - occupancy changed since the census, so their ordinals no longer address the \ - censused gate. Re-run the census against this op stream to recover them.", - stale - ); - } - if dead.is_empty() && down.is_empty() { - return ops; - } - - // Pass 2: apply, assigning ordinals in the same stream order the census used. - let mut ord: HashMap = HashMap::new(); - let mut out = Vec::with_capacity(ops.len()); - let mut removed = 0usize; - let mut downgraded = 0usize; - for op in ops { - let kb = op.kind as u8; // CCX=13, CCZ=14 in the serialized stream - if kb == 13 || kb == 14 { - let tup = (kb, op.q_control2.0, op.q_control1.0, op.q_target.0, op.c_condition.0); - let o = ord.entry(tup).or_insert(0); - let key = (tup, *o); - *o += 1; - if dead.contains_key(&key) { - removed += 1; - continue; - } - if let Some(&act) = down.get(&key) { - let mut nop = op; - nop.kind = if kb == 13 { OperationType::CX } else { OperationType::CZ }; - // act==1: q_control1 is the redundant one, q_control2 survives. - // act==2: q_control2 is redundant (implied by q_control1). - if act == 1 { - nop.q_control1 = op.q_control2; - } - nop.q_control2 = crate::circuit::NO_QUBIT; - nop.validate(); - downgraded += 1; - out.push(nop); - continue; - } - } - out.push(op); - } - eprintln!( - "[deep-strip-identity] removed {} / {} dead; downgraded {} / {} to CX/CZ; {} stale keys skipped", - removed, - deep_strip_keys::DEAD_KEYS.len(), - downgraded, - deep_strip_keys::DOWNGRADE_KEYS.len(), - stale - ); - out -} - -/// Rewrite the 96-op identity tail to encode the ground nonce. Only q_target -/// changes (X;X pairs stay identities), so circuit function is untouched; the -/// Fiat-Shamir seed is what moves. -fn apply_tail_nonce(mut ops: Vec, nonce: u64) -> Vec { - let n = ops.len(); - assert!(n >= 96, "op stream too short for nonce tail"); - let start = n - 96; - for i in 0..96 { - assert!(ops[start + i].kind == OperationType::X, "tail op {} is not an X", start + i); - } - for b in 0..48 { - let t = if (nonce >> b) & 1 == 1 { QubitId(1) } else { QubitId(0) }; - ops[start + 2 * b].q_target = t; - ops[start + 2 * b + 1].q_target = t; - } - ops -} - -fn apply_m60_dead_t10(ops: Vec) -> Vec { - use std::collections::HashSet; - if std::env::var("M60_DISABLE").ok().as_deref() == Some("1") { - eprintln!(" [M-60] disabled -> emitting C1 (unfiltered)"); - return ops; - } - let drop: HashSet = m60_dead_t10::M60_DEAD_T10.iter().copied().collect(); - for &i in &drop { - let is_ccx = ops.get(i).map(|o| o.kind == OperationType::CCX).unwrap_or(false); - assert!( - is_ccx, - "[M-60] dead-set index {i} is not a CCX in this build (found {:?}); skip-set \ - misaligned with this nonce/config -- aborting to avoid a corrupt circuit", - ops.get(i).map(|o| o.kind) - ); - } - let n_before = ops.len(); - let kept: Vec = ops - .into_iter() - .enumerate() - .filter_map(|(i, op)| if drop.contains(&i) { None } else { Some(op) }) - .collect(); - eprintln!( - " [M-60] removed {} dead CCX (self-checked) -> {} ops (C2b circuit)", - n_before - kept.len(), - kept.len() - ); - kept -} - -/// W018 / W044: delegate to the straddle-aware net-restore CCZ self-inverse matcher -/// (`constprop::ccz_straddle_cancel`), which runs on the FINAL post-`apply_m60_dead_t10` -/// stream so the dead_t10 absolute-index skip-set stays valid. Bit-exact in value AND -/// phase by construction (a proven CCZ.U.CCZ = U identity when U net-restores the triple). -/// Toggle off for the A/B differential with `TLM_CCZ_SELF_INVERSE_CANCEL=0`. -fn ccz_self_inverse_cancel(ops: Vec) -> Vec { - if std::env::var("TLM_CCZ_SELF_INVERSE_CANCEL").ok().as_deref() == Some("0") { - return ops; - } - trailmix_ludicrous::constprop::ccz_straddle_cancel(ops) -} - -// Retained-but-unused conservative (no-straddle) prototype, superseded by the -// straddle-aware matcher above. Kept for reference; not on any code path. -#[allow(dead_code, unreachable_code, unused)] -fn ccz_self_inverse_cancel_conservative(ops: Vec) -> Vec { - const NEVER: usize = usize::MAX; - - // Size the write-timeline tables from the max qubit / condition-bit id referenced. - let mut max_q: u64 = 0; - let mut max_b: u64 = 0; - for op in &ops { - for q in [op.q_control1.0, op.q_control2.0, op.q_target.0] { - if q != u64::MAX && q > max_q { - max_q = q; - } - } - for b in [op.c_condition.0, op.c_target.0] { - if b != u64::MAX && b > max_b { - max_b = b; - } - } - } - let num_q = max_q as usize + 1; - let num_b = max_b as usize + 1; - - let mut wlast_q = vec![NEVER; num_q]; // last basis-changing WRITE index per qubit - let mut wlast_b = vec![NEVER; num_b]; // last WRITE index per condition bit - - let mut cond_epoch: u64 = 0; - let mut cond_stack: Vec = Vec::new(); - - struct PendCcz { - idx: usize, - cb: u64, - epoch: u64, - } - let mut pending: std::collections::HashMap<(u64, u64, u64), PendCcz> = - std::collections::HashMap::new(); - let mut killed = vec![false; ops.len()]; - // Diagnostics: how many CCZ repeat a triple at all (upper bound on any matcher's - // pairable population), and how many same-triple candidates the clean-support - // predicate rejected (a large gap here would mean a straddle matcher could help). - let mut seen_triples: std::collections::HashSet<(u64, u64, u64)> = - std::collections::HashSet::new(); - let mut repeat_triple_ccz: usize = 0; - let mut rejected_not_clean: usize = 0; - let mut total_ccz: usize = 0; - - let touched_after = |s: usize, p: usize| s != NEVER && s > p; - let set_w = |tbl: &mut Vec, id: u64, i: usize| { - if (id as usize) < tbl.len() { - tbl[id as usize] = i; - } - }; - - for (i, op) in ops.iter().enumerate() { - match op.kind { - OperationType::PushCondition => { - cond_epoch += 1; - cond_stack.push(op.c_condition.0); - } - OperationType::PopCondition => { - cond_epoch += 1; - cond_stack.pop(); - } - OperationType::CCZ => { - let mut tri = [op.q_control1.0, op.q_control2.0, op.q_target.0]; - tri.sort_unstable(); - // Skip malformed/degenerate triples (a real CCZ has 3 distinct live qubits). - if tri[2] != u64::MAX && tri[0] != tri[1] && tri[1] != tri[2] { - let key = (tri[0], tri[1], tri[2]); - let cb = op.c_condition.0; - total_ccz += 1; - if !seen_triples.insert(key) { - repeat_triple_ccz += 1; - } - let mut cancelled = false; - let mut matched_pending = false; - if let Some(p) = pending.get(&key) { - matched_pending = true; - let same_cond = p.cb == cb && p.epoch == cond_epoch; - let qs_clean = !touched_after(wlast_q[tri[0] as usize], p.idx) - && !touched_after(wlast_q[tri[1] as usize], p.idx) - && !touched_after(wlast_q[tri[2] as usize], p.idx); - let cond_clean = - cb == u64::MAX || !touched_after(wlast_b[cb as usize], p.idx); - let stack_clean = cond_stack.iter().all(|&sb| { - sb == u64::MAX || !touched_after(wlast_b[sb as usize], p.idx) - }); - if same_cond && qs_clean && cond_clean && stack_clean { - killed[p.idx] = true; - killed[i] = true; - cancelled = true; - } - } - if matched_pending && !cancelled { - rejected_not_clean += 1; - } - if cancelled { - pending.remove(&key); - } else { - pending.insert( - key, - PendCcz { - idx: i, - cb, - epoch: cond_epoch, - }, - ); - } - } - // CCZ is diagonal: it writes nothing, so no wlast update. - } - OperationType::CCX - | OperationType::CX - | OperationType::X - | OperationType::R => { - set_w(&mut wlast_q, op.q_target.0, i); - } - OperationType::Swap => { - set_w(&mut wlast_q, op.q_control1.0, i); - set_w(&mut wlast_q, op.q_target.0, i); - } - OperationType::Hmr => { - set_w(&mut wlast_q, op.q_target.0, i); - set_w(&mut wlast_b, op.c_target.0, i); - } - OperationType::BitInvert - | OperationType::BitStore0 - | OperationType::BitStore1 => { - set_w(&mut wlast_b, op.c_target.0, i); - } - OperationType::CZ - | OperationType::Z - | OperationType::Neg - | OperationType::Register - | OperationType::AppendToRegister - | OperationType::DebugPrint => {} - } - } - - let n_before = ops.len(); - let kept: Vec = ops - .into_iter() - .enumerate() - .filter_map(|(i, op)| if killed[i] { None } else { Some(op) }) - .collect(); - let removed = n_before - kept.len(); - eprintln!( - " [W018 CCZ] cancelled {} CCZ ({} self-inverse pairs) -> {} ops", - removed, - removed / 2, - kept.len() - ); - eprintln!( - " [W018 CCZ] diag: total_ccz={} repeat_triple_ccz={} rejected_not_clean={}", - total_ccz, repeat_triple_ccz, rejected_not_clean - ); - kept -} - pub fn build() -> Vec { - // M-60 (C2b): bake the dead_t10 winning Fiat-Shamir nonce so the challenge harness - // reproduces the validated winner. Forced (not set_default) to win over the C1 default. - // The nonce only appends identity X-pairs at the tail; the dead-CCX skip-set applied - // post-fanout (apply_m60_dead_t10) is nonce-invariant. - std::env::set_var("DIALOG_TAIL_NONCE", "9000624727621"); - // --- submission-4: stacked bit-exact wins (all ε=0) --- - std::env::set_var("TLM_KG_INC_VENT", "1"); // E284: KG-inc measurement vent (-198 CCX) - std::env::set_var("W1155_FWD_EQ_REV", "1"); // W1155: fwd cswap dead := rev predicate (-504) - std::env::set_var("TLM_SQUARE_FROM_ZERO", "1"); // M023: from-zero adder specialization (-1522) - // E208 (codec mcx_clean_k), E275 (2nd fanout pass), W1077 (dead-carry band), E251 (gcd dead - // ranges) are hard edits / default-on and need no flag here. - // --- GAP_J2 comparator narrowing (delta=2 over divsteps i<200) --- - // Slack is concentrated in the first ~200 divsteps; i>=200 has none. - // SUB4_NO_GAP=1 disables it (used to isolate the bit-exact wins for verification). - if std::env::var("SUB4_NO_GAP").ok().as_deref() != Some("1") { - std::env::set_var("TLM_GAP_J2_TRUNC_ONLY", "1"); - std::env::set_var("TLM_GAP_J2_DELTA", "2"); - std::env::set_var("TLM_GAP_J2_LO", "0"); - std::env::set_var("TLM_GAP_J2_HI", "200"); - } - // M-60's baked index list is derived against a different op stream and would - // misalign here; the d2 deep-strip below supersedes it. - std::env::set_var("M60_DISABLE", "1"); - configure_q1153_second512_submission_defaults(); - - if std::env::var("TLM_SQ_SELFTEST").ok().as_deref() == Some("1") { - arith::square_addsub_selftest::run(); - if std::env::var("TLM_SQ_SELFTEST_ONLY").ok().as_deref() == Some("1") { - std::process::exit(0); - } + // The default official entry point calls the TrailMix builder directly, + // so source-bake the structurally authenticated Q844 flags here. + set_default_env("LOWQ_SUB800_INPLACE_GUARD_ADDRESS", "1"); + set_default_env("LOWQ_SUB800_RAW_PREFIX_PRESERVED_LENDER", "1"); + set_default_env("LOWQ_SUB800_RAW_PREFIX_PREDICATE_LENDER", "1"); + set_default_env("LOWQ_SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION", "1"); + if std::env::var("POINT_ADD_DIALOG_ROUTE").ok().as_deref() != Some("1") { + return trailmix_port::build_builder().ops; } - if std::env::var("DIALOG_GCD_K5_HEAD11_SELFTEST").is_ok() { match dialog_gcd_k5_head11_codec_selftest() { Ok(()) => eprintln!( @@ -2194,201 +2249,7 @@ pub fn build() -> Vec { return Vec::new(); } } - - set_default_env("LUD_EXTRA_FOLD_VENTS", "0"); - set_default_env("LUD_EXTRA_FOLD_MIN_G", "0"); - set_default_env("LUD_EXTRA_FOLD_MAX_G", "999"); - set_default_env("DIALOG_TAIL_NONCE", "2430844"); - set_default_env("TLM_FOLD_TAIL_CINC", "1"); - set_default_env("TLM_CODEC_DIAMOND_MCX", "1"); - set_default_env("SINGLE_CCX_FANOUT_DISABLE", "0"); - - set_default_env("TLM_SQUARE_F_RAMP10_DIRECT32_TAGS", ""); - set_default_env("TLM_SQUARE_F_SHIFTED_LOW", "1"); - - set_default_env("TLM_GRAD_FINAL_NO_COUT", "1"); - set_default_env("TLM_APPLY_FWD_FIRST_CSWAP_SKIP", "1"); - set_default_env("CONSTPROP_MAX_ITERS", "16"); - - set_default_env("TLM_TARGET_Q", "1155"); - set_default_env("TLM_FOLD_BOUNDARY_ZERO_DIRECT", "1"); - set_default_env("TLM_FOLD_CHUNK_FORCE", "4"); - set_default_env("TLM_TARGET_FOLD_CALL_RESERVE_OVERRIDES", "173:3,175:3,177:3,256:11,257:11,336:3,338:3,340:3,176:3,178:3,180:3,254:5,259:20,333:3,335:3,337:3,179:3,181:3,183:3,182:3,184:3,186:3,327:3,329:3,330:3,331:3,332:3,334:3"); - set_default_env("TLM_TARGET_FFG_CALL_RESERVE_OVERRIDES", "184:4,186:4,188:4,205:6,207:6,209:6,220:7,222:7,224:7,238:8,240:8,242:8,251:9,257:10,262:10,355:10,362:10,359:10,181:3,183:3,185:3,187:4,189:4,191:4,196:5,198:5,200:5,208:6,210:6,212:6,223:7,225:7,227:7,241:8,243:8,245:8,250:9,252:9,190:4,192:4,193:5,194:4,195:5,197:5,199:5,201:5,202:6,203:5,204:6,206:6,211:6,213:6,214:7,215:6,216:7,218:7,226:7,228:8,229:8,230:8,231:8,233:8,244:8,246:8,247:9,253:9,254:10,259:11,358:10,340:11,341:11,342:11,343:11,344:11,345:11,346:11,347:11,348:11,349:11,350:11"); - set_default_env("TLM_APPLY_FWD_S2_ZERO_LAST", "1"); - set_default_env("TLM_APPLY_INV_S2_ZERO_LAST", "1"); - set_default_env("TLM_APPLY_FWD_CSWAP_SKIP_LAST", "2"); - set_default_env("TLM_APPLY_INV_CSWAP_SKIP_LAST", "1"); - set_default_env("TLM_FOLD_RELEASE_CONTROLS", "1"); - set_default_env("TLM_TARGET_FFG_RESERVE", "9"); - set_default_env( - "TLM_TARGET_FFG_CALL_RESERVES", - concat!( - "163:8,165:8,166:7,167:8,168:7,169:6,170:7,171:6,172:5,173:6,174:5,175:4,176:5,177:4,178:3,179:4,180:3,181:2,182:3,183:2,184:1,185:2,186:1,187:0,188:1,189:0,190:3,191:0,192:3,193:3,194:3,195:3,196:4,197:3,198:4,199:4,200:4,201:4,202:4,203:4,204:4,205:5,206:4,207:5,208:5,209:5,210:5,211:5,212:5,213:5,214:5,215:5,216:5,217:6,218:5,219:6,220:6,221:6,222:6,223:6,224:6,225:6,226:6,227:6,228:6,229:6,230:6,231:6,232:7,233:6,234:7,235:7,236:7,237:7,238:7,239:7,240:7,241:7,242:7,243:7,244:7,245:7,246:7,247:7,248:8,249:8,250:8,251:8,252:8,253:8,254:8,", - "509:8,510:8,511:8,512:8,513:8,514:8,515:8,516:7,517:7,518:7,519:7,520:7,521:7,522:7,523:7,524:7,525:7,526:7,527:7,528:7,529:7,530:6,531:7,532:6,533:6,534:6,535:6,536:6,537:6,538:6,539:6,540:6,541:6,542:6,543:6,544:6,545:5,546:6,547:5,548:5,549:5,550:5,551:5,552:5,553:5,554:5,555:5,556:5,557:4,558:5,559:4,560:4,561:4,562:4,563:4,564:4,565:4,566:3,567:4,568:3,569:3,570:3,571:3,572:0,573:3,574:0,575:1,576:0,577:1,578:2,579:1,580:2,581:3,582:2,583:3,584:4,585:3,586:4,587:5,588:4,589:5,590:6,591:5,592:6,593:7,594:6,595:7,596:8,597:7,598:8,600:8", - ), - ); - set_default_env("TLM_TARGET_FOLD_RESERVE", "4"); - set_default_env( - "TLM_TARGET_FOLD_CALL_RESERVES", - concat!( - "170:3,172:3,173:2,174:3,175:2,176:1,177:2,178:1,179:0,180:1,181:0,182:0,183:0,184:0,185:3,186:0,187:3,188:3,189:3,190:3,191:3,192:3,193:3,195:3,", - "251:3,252:3,253:3,254:3,255:3,256:3,257:3,258:3,259:3,260:3,261:3,262:3,318:3,320:3,321:3,322:3,323:3,324:3,325:3,326:3,327:0,328:3,329:0,330:0,331:0,332:0,333:1,334:0,335:1,336:2,337:1,338:2,339:3,340:2,341:3,343:3", - ), - ); - set_default_env("TLM_GCD_RESELECT_LAYOUT", "1"); - set_default_env("TLM_DIRECT_VARCHUNK", "1"); - set_default_env("TLM_COUT_LAYOUT_SEARCH", "1"); - set_default_env("TLM_COUT_LAYOUT_MARGIN", "0"); - set_default_env("TLM_COUT_LAYOUT_FORCE_M1_KS", "129"); - - // Per-chunk carry-erase comparison width. The chunked cout adder pays `chunked_len` emitted CCX - // (half that executed, it sits under push_condition) purely to re-derive each chunk carry-out - // from the finished sum. Restricting that comparison to the top 22 bits of the chunk is wrong - // only when those 22 bits tie and the low part borrows. - // - // The first 24 erase calls are exempt: at the start of the walk the Bezout pair still holds - // small values, so a chunk's information lives in its LOW bits and a top-window comparison - // carries no signal at all. Measured: capping those calls saturates phase-garbage at 141/141 - // batches, exempting them puts it back on the intrinsic baseline. - // Set TLM_COUT_ERASE_CAP=0 to disable; that restores a byte-identical op stream. - set_default_env("TLM_COUT_ERASE_CAP", "22"); - set_default_env("TLM_COUT_ERASE_CAP_CALLS", "24:9999"); - set_default_env("TLM_GCD_ADAPTIVE_LAYOUT_SEARCH", "1"); - set_default_env("TLM_GCD_ADAPTIVE_LAYOUT_MARGIN", "0"); - - set_default_env("TLM_PARK_ODD_U0", "1"); - set_default_env("TLM_LOAN_ODD_U0", "1"); - set_default_env("TLM_PARK_EVEN_V0", "1"); - set_default_env("TLM_LOAN_EVEN_V0", "1"); - set_default_env("TLM_LOAN_GCD_Y0", "1"); - set_default_env("TLM_HYB_V_DELTA", "2"); - set_default_env("TLM_COUT_K_DELTA", "2"); - set_default_env("TLM_FOLD_DELTA", "2"); - set_default_env("TLM_FFG_DELTA", "0"); - set_default_env("TLM_GCD_K_ADJUST_AFTER", "169"); - set_default_env("TLM_GCD_K_ADJUST_BEFORE", "196"); - set_default_env("TLM_GCD_K_ADJUST", "-2"); - - set_default_env("TLM_FFG_SKIP_STRUCTURAL_DEAD_CALLS", "1"); - set_default_env("TLM_FFG_SKIP_TOP_CARRY31", "1"); - set_default_env("TLM_FFG_SKIP_TOP_CARRY30", "1"); - set_default_env("TLM_CUCCARO_SKIP_STRUCTURAL_DEAD_CALLS", "1"); - set_default_env("TLM_COMPARE_SKIP_STRUCTURAL_DEAD_CALLS", "1"); - set_default_env("TLM_COMPARE_SKIP_EXACT_REMAINDER", "1"); - set_default_env("TLM_GIDNEY_SKIP_STRUCTURAL_DEAD_CALLS", "1"); - set_default_env("TLM_GIDNEY_SKIP_EXACT_REMAINDER", "1"); - set_default_env("TLM_CONST_CHUNK_SKIP_STRUCTURAL_DEAD_CALLS", "1"); - set_default_env("TLM_CONST_CHUNK_SKIP_EXACT_REMAINDER", "1"); - set_default_env("TLM_FUSED_SKIP_STRUCTURAL_DEAD_CARRIES", "1"); - set_default_env("TLM_FUSED_SKIP_STRUCTURAL_DEAD_SHIFT0", "1"); - set_default_env("TLM_FUSED_SKIP_EXACT_FOLD_REMAINDER", "1"); - set_default_env("TLM_FUSED_SKIP_STRUCTURAL_DEAD_DIRTY_FOLD", "1"); - set_default_env("TLM_FUSED_SKIP_STRUCTURAL_DEAD_CLEAN_WINDOW", "1"); - set_default_env("TLM_ADD_CONST_SKIP_STRUCTURAL_DEAD_CARRIES", "1"); - set_default_env("TLM_GCD_SKIP_STRUCTURAL_DEAD_CSWAPS", "1"); - set_default_env("TLM_GCD_SKIP_EXACT_FORWARD_CSWAPS", "1"); - set_default_env("TLM_GCD_SKIP_STRUCTURAL_DEAD_SHIFTS", "1"); - set_default_env("TLM_GCD_SKIP_EXACT_SHIFT_REMAINDER", "1"); - set_default_env("TLM_COMPARE_SKIP_EXACT_CIN_REMAINDER", "1"); - set_default_env("TLM_FUSED_SKIP_EXACT_BOUNDARY_ZERO", "1"); - set_default_env("TLM_GIDNEY_SKIP_EXACT_ERASE_ALL_CCZ", "1"); - set_default_env("TLM_FFG_SKIP_EXACT_TOP29_REMAINDER", "1"); - set_default_env("TLM_GCD_SKIP_REVERSE_DIAGONAL_EDGE", "1"); - set_default_env("TLM_FFG_SKIP_INVERSE_MOD_SUB_TOP29", "1"); - set_default_env("TLM_FFG_INVERSE_TOP29_MAX_CALL", "180"); - set_default_env("TLM_FUSED_CLEAN_FOLD_SKIP_TOP31", "1"); - set_default_env("TLM_GIDNEY_SKIP_SMALL_RESIDUAL_DEAD", "1"); - let mut ops = trailmix_ludicrous::build_trailmix_ludicrous_ops(); - - if let Ok(k) = std::env::var("TLM_SEED_PERTURB").unwrap_or_default().parse::() { - for _ in 0..k { - ops.push(crate::circuit::Op { - kind: crate::circuit::OperationType::DebugPrint, - q_control2: crate::circuit::NO_QUBIT, - q_control1: crate::circuit::NO_QUBIT, - q_target: crate::circuit::NO_QUBIT, - c_target: crate::circuit::NO_BIT, - c_condition: crate::circuit::NO_BIT, - r_target: crate::circuit::NO_REG, - }); - } - } - if std::env::var("SINGLE_CCX_FANOUT_DISABLE") - .ok() - .as_deref() - == Some("1") - { - return ops; - } - let input_ops = ops.len(); - let mut fanout_passes = 0usize; - loop { - match single_ccx_fanout::rewrite_first_target_fanout(ops.clone(), 96) { - Ok((rewritten, _witness)) => { - fanout_passes += 1; - ops = rewritten; - } - Err(error) => { - eprintln!( - "SINGLE_CCX_FANOUT: STOP passes={} input_ops={} output_ops={} reason={}", - fanout_passes, - input_ops, - ops.len(), - error, - ); - break; - } - } - } - assert!(fanout_passes >= 1, "single-fanout rewrite failed to find first pass"); - eprintln!( - "SINGLE_CCX_FANOUT: SUMMARY input_ops={} output_ops={} passes={}", - input_ops, - ops.len(), - fanout_passes, - ); - let ops = apply_m60_dead_t10(ops); - let ops = ccz_self_inverse_cancel(ops); - let mut ops = trailmix_ludicrous::constprop::ccx_final_cancel(ops); - // E275: re-run single_ccx_fanout to fixpoint over the post-cancel stream (-13 CCX, bit-exact). - if std::env::var("SINGLE_CCX_FANOUT_SECOND_PASS").ok().as_deref() != Some("0") { - loop { - match single_ccx_fanout::rewrite_first_target_fanout(ops.clone(), 96) { - Ok((rewritten, _w)) => { ops = rewritten; } - Err(_e) => break, - } - } - } - // submission-4: the baked d2 deep-strip is indexed for the OLD (pre-bit-exact-wins) op - // stream and would misfire here; it is a near-eps lever and is re-derived on the composed - // stream separately. Disable it for the pure bit-exact-wins circuit unless explicitly re-enabled. - // Identity-keyed deep strip (1442 census-dead gates, zero-error) on by default; - // SUB4_APPLY_STRIP=0 disables for A/B measurement. - // The strip keys its gates by `(kind, operands, k-th occurrence ordinal)`, so like - // the census certificates it is only valid at the baked divstep count. - // Identity-keyed deep strip, re-mined at 1e9 against THIS stream. Keys carry the - // census-time tuple occupancy, a self-check strictly stronger than gating on - // baked_artifacts_valid(): it catches ANY ordinal-moving edit and discards only - // the affected keys, loudly, instead of disabling the table. - let ops = if std::env::var("SUB4_APPLY_STRIP").ok().as_deref() == Some("0") { - ops - } else { - apply_deep_strip_identity(ops) - }; - // Tail nonce for the exact H2 risk-3.0 stream (9024/9024 PASS, score 1,487,599,474). - // SUB4_TAIL_NONCE overrides it for controlled re-grinding. - let nonce: u64 = std::env::var("SUB4_TAIL_NONCE") - .ok() - .and_then(|s| s.parse().ok()) - .unwrap_or(200321420125); - let ops = apply_tail_nonce(ops, nonce); - // `TLM_DIRTY_SCAN_FINAL=1` runs the reset/phase audit on the stream `eval_circuit` - // will actually see, i.e. after every rewrite pass. Default off. - if std::env::var_os("TLM_DIRTY_SCAN_FINAL").is_some() { - dirtyscan::scan(&ops, &[]); - } - ops + build_builder().ops } pub fn square_window_selftest() -> Result<(), String> { @@ -2545,14 +2406,23 @@ pub fn square_window_selftest() -> Result<(), String> { Ok(()) } + +/// Standalone differential selftest for the fused-fold freed-tail lever +/// (`DIALOG_GCD_FOLD_FREED_TAIL`). Runs in the normal (non-test) build because +/// the `#[cfg(test)]` module does not compile on this base. For each +/// `(e,d) ∈ {0,1}²` it builds the BASELINE per-position fold ripple and the +/// FREED-TAIL ripple on the same random `y` (64 shots/lane), simulates both, and +/// asserts: (1) identical `y` outputs, (2) all fold ancillae returned to |0>, +/// (3) zero global phase. Returns Err with the first divergence. Invoke via +/// `FOLD_FREED_TAIL_SELFTEST=1 build_circuit`. pub fn fold_freed_tail_selftest() -> Result<(), String> { use sha3::digest::{ExtendableOutput, Update}; let hi_delta = 33usize; let hi_c = 32usize; - let nbits = 64usize; + let nbits = 64usize; // y width for the test (covers the active+tail span) for &windowed in &[true, false] { let last = if windowed { - hi_delta + 19 + hi_delta + 19 // mirror KAL_DOUBLE_CARRY_TRUNC_W=19 } else { nbits - 2 }; @@ -2560,7 +2430,7 @@ pub fn fold_freed_tail_selftest() -> Result<(), String> { let e_val = ed & 1; let d_val = (ed >> 1) & 1; for &is_add in &[true, false] { - + // Build both circuits over identical qubit layout. let build_one = |freed: bool| -> (Vec, Vec, usize, usize) { let mut b = B::new(); let y = b.alloc_qubits(nbits); @@ -2573,7 +2443,9 @@ pub fn fold_freed_tail_selftest() -> Result<(), String> { let xed = b.alloc_qubit(); let eord = b.alloc_qubit(); let n10 = b.alloc_qubit(); - + // Exercise the real caller relation for every (e,d) pair: + // s2=1, ovf1=d, ovf2=e gives + // d=ovf1&s2 and e=ovf1^d^ovf2. b.x(s2); if d_val == 1 { b.x(ovf1); @@ -2585,13 +2457,13 @@ pub fn fold_freed_tail_selftest() -> Result<(), String> { b.cx(ovf1, e); b.cx(d, e); b.cx(ovf2, e); - b.ccx(e, d, h); + b.ccx(e, d, h); // h = e&d b.cx(e, xed); - b.cx(d, xed); + b.cx(d, xed); // xed = e^d b.cx(xed, eord); - b.cx(h, eord); + b.cx(h, eord); // eord = e|d b.cx(d, n10); - b.cx(h, n10); + b.cx(h, n10); // n10 = !e&d if freed { fold_ripple_freed_tail_ed( &mut b, @@ -2616,7 +2488,8 @@ pub fn fold_freed_tail_selftest() -> Result<(), String> { csub_per_position_controls_trunc(&mut b, &y, &controls, last); } } - + // uncompute derived controls (same as the fused fns) so all 6 + // ancillae return to |0> on a value-exact ripple. b.cx(h, n10); b.cx(d, n10); b.cx(h, eord); @@ -2641,7 +2514,9 @@ pub fn fold_freed_tail_selftest() -> Result<(), String> { }; let (ops_base, y_b, nq_b, nb_b) = build_one(false); let (ops_freed, y_f, nq_f, nb_f) = build_one(true); - + // deterministic random y per shot, including adversarial + // carry-propagation patterns (long runs of 1s above bit 33 that + // force the truncated tail carry to escape / saturate). let mask: u64 = if nbits >= 64 { u64::MAX } else { (1u64 << nbits) - 1 }; let ys: Vec = (0..64u64) .map(|s| { @@ -2651,7 +2526,7 @@ pub fn fold_freed_tail_selftest() -> Result<(), String> { let r = (r ^ (r >> 31)).wrapping_mul(0xBF58_476D_1CE4_E5B9); let r = r ^ (r >> 27); let base = r & mask; - + // every 4th shot: all-ones above bit 33 (worst case carry run) if s % 4 == 0 { base | (mask & !((1u64 << (hi_delta + 1)) - 1)) } else if s % 4 == 1 { @@ -2833,6 +2708,7 @@ pub fn special_fold_park_selftest() -> Result<(), String> { Ok(()) } + #[cfg(test)] mod direct_const_tests { use super::*; diff --git a/src/point_add/rounds/dialog/compressed.rs b/src/point_add/rounds/dialog/compressed.rs index 2d23d88a..f1c28b4f 100644 --- a/src/point_add/rounds/dialog/compressed.rs +++ b/src/point_add/rounds/dialog/compressed.rs @@ -1,2493 +1,2507 @@ +//! Dialog-GCD compressed-sidecar path: the round763 block compressor, the +//! runway / composite scratch layout helpers, and the +//! `emit_dialog_gcd_compressed_sidecar_*` block-lifecycle emitters +//! (tobitvector / apply / ipmul / quotient). An alternate, lower-peak encoding +//! of the GCD transcript log; shares the raw-path config levers and comparators +//! from the parent `dialog` module. +use super::*; -use super::*; - -pub(crate) fn round763_dedup_enabled() -> bool { - - std::env::var("DIALOG_GCD_ROUND763_DEDUP").ok().as_deref() == Some("1") -} - -pub(crate) fn round763_compress_lever_enabled() -> bool { - - std::env::var("DIALOG_GCD_ROUND763_COMPRESS_LEVER") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn emit_dialog_gcd_round763_compressor(b: &mut B, block: &[QubitId]) { - assert_eq!(block.len(), 6); - if round763_compress_lever_enabled() { - b.cx(block[5], block[3]); - b.ccx(block[3], block[4], block[5]); - b.cx(block[1], block[4]); - b.cx(block[1], block[0]); - b.ccx(block[4], block[5], block[1]); - b.cx(block[0], block[2]); - b.ccx(block[2], block[5], block[0]); - b.ccx(block[0], block[1], block[5]); - return; - } - b.ccx(block[4], block[5], block[3]); - b.ccx(block[3], block[4], block[5]); - b.ccx(block[1], block[2], block[4]); - if round763_dedup_enabled() { - b.cx(block[1], block[0]); - } else { - b.ccx(block[1], block[3], block[4]); - b.cx(block[1], block[0]); - b.ccx(block[1], block[3], block[4]); - } - b.ccx(block[4], block[5], block[1]); - b.ccx(block[0], block[5], block[2]); - b.ccx(block[2], block[5], block[0]); - b.ccx(block[0], block[1], block[5]); -} - -pub(crate) fn emit_dialog_gcd_round763_compressor_inverse(b: &mut B, block: &[QubitId]) { - assert_eq!(block.len(), 6); - if round763_compress_lever_enabled() { - b.ccx(block[0], block[1], block[5]); - b.ccx(block[2], block[5], block[0]); - b.cx(block[0], block[2]); - b.ccx(block[4], block[5], block[1]); - b.cx(block[1], block[0]); - b.cx(block[1], block[4]); - b.ccx(block[3], block[4], block[5]); - b.cx(block[5], block[3]); - return; - } - b.ccx(block[0], block[1], block[5]); - b.ccx(block[2], block[5], block[0]); - b.ccx(block[0], block[5], block[2]); - b.ccx(block[4], block[5], block[1]); - if round763_dedup_enabled() { - b.cx(block[1], block[0]); - } else { - b.ccx(block[1], block[3], block[4]); - b.cx(block[1], block[0]); - b.ccx(block[1], block[3], block[4]); - } - b.ccx(block[1], block[2], block[4]); - b.ccx(block[3], block[4], block[5]); - b.ccx(block[4], block[5], block[3]); -} - -const DIALOG_GCD_K5_DATA_WIRES: [usize; 12] = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12]; -const DIALOG_GCD_K5_HEAD11_DATA_WIRES: [usize; 11] = - [0, 1, 2, 4, 5, 6, 7, 8, 9, 11, 12]; -const DIALOG_GCD_K5_TAIL3_DATA_WIRES: [usize; 5] = [1, 10, 2, 3, 11]; -const DIALOG_GCD_K5_TAIL3_TOP32_RAW_WIRES: [usize; 9] = [0, 1, 2, 3, 4, 5, 10, 11, 12]; -const DIALOG_GCD_K5_TAIL3_TOP32_STREAM_SCRATCH_WIRES: [usize; 5] = [6, 7, 8, 9, 13]; -const DIALOG_GCD_K5_TAIL3_TOP32_CODE_CONSTANT: u8 = 25; -const DIALOG_GCD_K5_TAIL3_TOP32_ENCODER_ANF: [&[u16]; 5] = [ - &[1, 2, 4, 32, 34, 64, 128], - &[4, 10, 16, 20, 24, 32, 64, 136, 256], - &[1, 6, 8, 16, 34, 128], - &[6, 32, 64], - &[4, 6, 8, 10, 32, 80, 128, 130, 256], -]; -const DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_CODE_CONSTANT: u8 = 3; -const DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_ENCODER_ANF: [&[u16]; 5] = [ - &[6, 8, 16, 20, 24, 64, 80, 128, 130, 136], - &[2, 6, 10, 16, 80, 128, 130], - &[2, 10, 16, 64, 80, 128, 130], - &[2, 4, 6, 8, 16, 64], - &[1, 2, 6, 10, 16, 20, 24, 64, 128, 136], -]; -const DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF: [&[u16]; 9] = [ - &[0, 6, 7, 9, 10, 17, 19, 22, 23, 24, 25, 29, 31], - &[0, 2, 7, 8, 10, 14, 16, 19, 24], - &[0, 16, 17, 19, 20, 24, 25, 26, 28], - &[0, 1, 2, 3, 4, 5, 6, 8, 11, 12, 15, 16, 18, 21, 26, 28], - &[0, 3, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 25], - &[26, 27], - &[2, 7, 10, 14, 16, 18, 22, 23, 24], - &[1, 6, 7, 8, 9, 10, 16, 18, 19, 20, 27, 28, 29, 30], - &[0, 9, 13, 22, 24, 28, 31], -]; -const DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_DECODER_ANF: [&[u16]; 9] = [ - &[0, 1, 13, 17, 24, 25, 26], - &[0, 1, 2, 7, 10, 12, 13, 14, 31], - &[0, 6, 7, 8, 10, 12, 15], - &[4, 5, 7, 12, 22, 23, 27], - &[0, 1, 5, 12, 13, 27, 30], - &[], - &[1, 4, 7, 8, 9, 27], - &[0, 4, 8, 9, 16, 17, 20, 21, 30], - &[0], -]; -pub(crate) const DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT: [u16; 32] = [ - 0x124, 0x125, 0x12b, 0x129, 0x128, 0x12f, 0x12d, 0x14b, - 0x149, 0x158, 0x15b, 0x159, 0x147, 0x145, 0x12c, 0x16b, - 0x169, 0x15f, 0x15d, 0x178, 0x14f, 0x04b, 0x15c, 0x049, - 0x058, 0x14d, 0x148, 0x0c5, 0x0c7, 0x17b, 0x038, 0x02b, -]; -#[derive(Clone, Copy)] -enum DialogGcdK5FableGate { - X(usize), - Cx(usize, usize), - Ccx(usize, usize, usize), -} - -const DIALOG_GCD_K5_FABLE_GATES: &[DialogGcdK5FableGate] = &[ - DialogGcdK5FableGate::Cx(7, 6), - DialogGcdK5FableGate::Cx(6, 7), - DialogGcdK5FableGate::Cx(7, 6), - DialogGcdK5FableGate::Cx(8, 7), - DialogGcdK5FableGate::Cx(7, 8), - DialogGcdK5FableGate::Cx(9, 6), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::Ccx(10, 6, 9), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Cx(9, 6), - DialogGcdK5FableGate::Cx(11, 10), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Cx(5, 11), - DialogGcdK5FableGate::Ccx(6, 10, 5), - DialogGcdK5FableGate::Cx(5, 11), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::Cx(11, 10), - DialogGcdK5FableGate::Cx(10, 4), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::Cx(10, 11), - DialogGcdK5FableGate::Ccx(6, 4, 10), - DialogGcdK5FableGate::Cx(10, 11), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::Cx(10, 4), - DialogGcdK5FableGate::Cx(7, 4), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Cx(5, 7), - DialogGcdK5FableGate::Cx(5, 9), - DialogGcdK5FableGate::Ccx(10, 4, 5), - DialogGcdK5FableGate::Cx(5, 9), - DialogGcdK5FableGate::Cx(5, 7), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Cx(7, 4), - DialogGcdK5FableGate::Cx(10, 4), - DialogGcdK5FableGate::Cx(7, 5), - DialogGcdK5FableGate::X(4), - DialogGcdK5FableGate::Cx(9, 11), - DialogGcdK5FableGate::Ccx(4, 5, 9), - DialogGcdK5FableGate::Cx(9, 11), - DialogGcdK5FableGate::X(4), - DialogGcdK5FableGate::Cx(7, 5), - DialogGcdK5FableGate::Cx(10, 4), - DialogGcdK5FableGate::Cx(9, 8), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Ccx(10, 8, 9), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Cx(9, 8), - DialogGcdK5FableGate::Cx(4, 8), - DialogGcdK5FableGate::Cx(11, 4), - DialogGcdK5FableGate::X(8), - DialogGcdK5FableGate::Cx(5, 11), - DialogGcdK5FableGate::Ccx(8, 4, 5), - DialogGcdK5FableGate::Cx(5, 11), - DialogGcdK5FableGate::X(8), - DialogGcdK5FableGate::Cx(11, 4), - DialogGcdK5FableGate::Cx(4, 8), - DialogGcdK5FableGate::Cx(7, 4), - DialogGcdK5FableGate::X(4), - DialogGcdK5FableGate::Ccx(5, 4, 7), - DialogGcdK5FableGate::X(4), - DialogGcdK5FableGate::Cx(7, 4), - DialogGcdK5FableGate::X(8), - DialogGcdK5FableGate::Ccx(4, 8, 6), - DialogGcdK5FableGate::X(8), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::X(11), - DialogGcdK5FableGate::Cx(4, 5), - DialogGcdK5FableGate::Cx(4, 8), - DialogGcdK5FableGate::Cx(4, 10), - DialogGcdK5FableGate::Ccx(6, 11, 4), - DialogGcdK5FableGate::Cx(4, 10), - DialogGcdK5FableGate::Cx(4, 8), - DialogGcdK5FableGate::Cx(4, 5), - DialogGcdK5FableGate::X(11), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::Cx(9, 5), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Ccx(10, 5, 9), - DialogGcdK5FableGate::X(10), - DialogGcdK5FableGate::Cx(9, 5), - DialogGcdK5FableGate::X(8), - DialogGcdK5FableGate::X(9), - DialogGcdK5FableGate::Ccx(7, 8, 13), - DialogGcdK5FableGate::Cx(4, 6), - DialogGcdK5FableGate::Ccx(13, 9, 4), - DialogGcdK5FableGate::Cx(4, 6), - DialogGcdK5FableGate::Ccx(7, 8, 13), - DialogGcdK5FableGate::X(9), - DialogGcdK5FableGate::X(8), - DialogGcdK5FableGate::X(4), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::X(11), - DialogGcdK5FableGate::Ccx(4, 6, 13), - DialogGcdK5FableGate::Ccx(13, 11, 10), - DialogGcdK5FableGate::Ccx(4, 6, 13), - DialogGcdK5FableGate::X(11), - DialogGcdK5FableGate::X(6), - DialogGcdK5FableGate::X(4), - DialogGcdK5FableGate::X(10), -]; - -fn dialog_gcd_k5_fable_wire(data: &[QubitId; 13], ancilla: QubitId, wire: usize) -> QubitId { - if wire == 13 { - ancilla - } else { - debug_assert!(wire < data.len()); - data[wire] - } -} - -fn dialog_gcd_k5_emit_fable_gate( - b: &mut B, - data: &[QubitId; 13], - ancilla: QubitId, - gate: DialogGcdK5FableGate, -) { - match gate { - DialogGcdK5FableGate::X(a) => b.x(dialog_gcd_k5_fable_wire(data, ancilla, a)), - DialogGcdK5FableGate::Cx(a, c) => b.cx( - dialog_gcd_k5_fable_wire(data, ancilla, a), - dialog_gcd_k5_fable_wire(data, ancilla, c), - ), - DialogGcdK5FableGate::Ccx(a, c, t) => b.ccx( - dialog_gcd_k5_fable_wire(data, ancilla, a), - dialog_gcd_k5_fable_wire(data, ancilla, c), - dialog_gcd_k5_fable_wire(data, ancilla, t), - ), - } -} - -fn dialog_gcd_k5_emit_fable_codec( - b: &mut B, - data: &[QubitId; 13], - ancilla: QubitId, - inverse: bool, -) { - if inverse { - for &gate in DIALOG_GCD_K5_FABLE_GATES.iter().rev() { - dialog_gcd_k5_emit_fable_gate(b, data, ancilla, gate); - } - } else { - for &gate in DIALOG_GCD_K5_FABLE_GATES { - dialog_gcd_k5_emit_fable_gate(b, data, ancilla, gate); - } - } -} - -fn emit_dialog_gcd_k5_clean_compressor(b: &mut B, data: &[QubitId; 13], ancilla: QubitId) { - dialog_gcd_k5_emit_fable_codec(b, data, ancilla, false); -} - -fn emit_dialog_gcd_k5_clean_compressor_inverse( - b: &mut B, - data: &[QubitId; 13], - ancilla: QubitId, -) { - dialog_gcd_k5_emit_fable_codec(b, data, ancilla, true); -} - -fn dialog_gcd_k5_head11_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && dialog_gcd_active_iterations() >= 5 - && std::env::var("DIALOG_GCD_K5_HEAD11_CODEC") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tight_partial_block_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && std::env::var("DIALOG_GCD_K5_TIGHT_PARTIAL_BLOCK") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tail3_fixed_last_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && dialog_gcd_active_iterations() >= 3 - && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 3 - && std::env::var("DIALOG_GCD_K5_TAIL3_FIXED_LAST") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tail3_top32_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && dialog_gcd_active_iterations() >= 3 - && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 3 - && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_CODEC") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tail3_top32_stream_apply_enabled() -> bool { - dialog_gcd_k5_tail3_top32_enabled() - && dialog_gcd_apply_replay_swap_host_enabled() - && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_STREAM_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tail3_top32_split_slot_apply_enabled() -> bool { - dialog_gcd_k5_tail3_top32_stream_apply_enabled() - && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_SPLIT_SLOT_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() -> bool { - dialog_gcd_k5_tail3_top32_split_slot_apply_enabled() - && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_FINAL_S2_CONST_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_head11_stream_pair_apply_enabled() -> bool { - dialog_gcd_k5_head11_enabled() - && dialog_gcd_apply_replay_swap_host_enabled() - && std::env::var("DIALOG_GCD_K5_HEAD11_STREAM_PAIR_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_head11_split_pair_shift_apply_enabled() -> bool { - dialog_gcd_k5_head11_stream_pair_apply_enabled() - && std::env::var("DIALOG_GCD_K5_HEAD11_SPLIT_PAIR_SHIFT_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_head11_pair01_s2_permute_apply_enabled() -> bool { - dialog_gcd_k5_head11_split_pair_shift_apply_enabled() - && std::env::var("DIALOG_GCD_K5_HEAD11_PAIR01_S2_PERMUTE_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_head11_pair23_s2_borrow_pair01_apply_enabled() -> bool { - dialog_gcd_k5_head11_split_pair_shift_apply_enabled() - && std::env::var("DIALOG_GCD_K5_HEAD11_PAIR23_S2_BORROW_PAIR01_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_stream_pair_apply_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && dialog_gcd_apply_replay_swap_host_enabled() - && std::env::var("DIALOG_GCD_K5_STREAM_PAIR_APPLY") - .ok() - .as_deref() - == Some("1") -} - -fn emit_dialog_gcd_k5_head11_preconditioner(b: &mut B, data: &[QubitId; 13]) { - b.x(data[0]); - b.ccx(data[0], data[1], data[3]); - b.ccx(data[2], data[3], data[0]); - b.cx(data[0], data[3]); -} - -fn emit_dialog_gcd_k5_head11_preconditioner_inverse( - b: &mut B, - data: &[QubitId; 13], -) { - b.cx(data[0], data[3]); - b.ccx(data[2], data[3], data[0]); - b.ccx(data[0], data[1], data[3]); - b.x(data[0]); -} - -fn emit_dialog_gcd_k5_pair_encoder(b: &mut B, pair_raw: &[QubitId; 6]) { - let core = [pair_raw[0], pair_raw[1], pair_raw[4], pair_raw[2], pair_raw[3]]; - b.cx(core[1], core[2]); - b.cx(core[0], core[4]); - b.x(core[3]); - b.ccx(core[2], core[3], core[1]); - b.cx(core[3], core[4]); - b.ccx(core[3], core[4], core[0]); - b.cx(core[2], core[4]); - b.cx(core[0], core[3]); - b.cx(core[3], core[2]); - b.cx(core[3], core[4]); - b.ccx(core[1], core[3], core[0]); - b.cx(core[1], core[0]); - b.cx(core[3], core[0]); -} - -fn emit_dialog_gcd_k5_pair_encoder_inverse(b: &mut B, pair_raw: &[QubitId; 6]) { - let core = [pair_raw[0], pair_raw[1], pair_raw[4], pair_raw[2], pair_raw[3]]; - b.cx(core[3], core[0]); - b.cx(core[1], core[0]); - b.ccx(core[1], core[3], core[0]); - b.cx(core[3], core[4]); - b.cx(core[3], core[2]); - b.cx(core[0], core[3]); - b.cx(core[2], core[4]); - b.ccx(core[3], core[4], core[0]); - b.cx(core[3], core[4]); - b.ccx(core[2], core[3], core[1]); - b.x(core[3]); - b.cx(core[0], core[4]); - b.cx(core[1], core[2]); -} - -fn dialog_gcd_raw_s2(raw_block: &[QubitId], slot: usize) -> QubitId { - raw_block[2 * dialog_gcd_sidecar_group_size() + slot] -} - -fn dialog_gcd_block_raw_s2( - raw_block: &[QubitId], - block_steps: usize, - slot: usize, -) -> QubitId { - if dialog_gcd_k5_tail6_graph9_enabled() && block_steps == 6 { - assert!(slot < DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS); - raw_block[2 * DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS + slot] - } else if dialog_gcd_k5_tail6_graph_enabled() && block_steps == 6 { - assert!(slot < DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS); - raw_block[2 * DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS + slot] - } else if dialog_gcd_k5_tail7_enabled() && block_steps == 7 { - assert!(slot < DIALOG_GCD_K5_TAIL7_STORED_STEPS); - raw_block[2 * DIALOG_GCD_K5_TAIL7_STORED_STEPS + slot] - } else { - dialog_gcd_raw_s2(raw_block, slot) - } -} - -fn dialog_gcd_k5_pair01(raw_block: &[QubitId]) -> [QubitId; 6] { - [ - raw_block[0], - raw_block[1], - raw_block[2], - raw_block[3], - dialog_gcd_raw_s2(raw_block, 0), - dialog_gcd_raw_s2(raw_block, 1), - ] -} - -fn dialog_gcd_k5_pair23(raw_block: &[QubitId]) -> [QubitId; 6] { - [ - raw_block[4], - raw_block[5], - raw_block[6], - raw_block[7], - dialog_gcd_raw_s2(raw_block, 2), - dialog_gcd_raw_s2(raw_block, 3), - ] -} - -fn dialog_gcd_k5_data_from_raw(raw_block: &[QubitId]) -> [QubitId; 13] { - [ - raw_block[1], - dialog_gcd_raw_s2(raw_block, 0), - raw_block[2], - raw_block[3], - dialog_gcd_raw_s2(raw_block, 1), - raw_block[5], - dialog_gcd_raw_s2(raw_block, 2), - raw_block[6], - raw_block[7], - dialog_gcd_raw_s2(raw_block, 3), - raw_block[8], - raw_block[9], - dialog_gcd_raw_s2(raw_block, 4), - ] -} - -fn dialog_gcd_k5_partial_raw_clean_scratch( - raw_block: &[QubitId], - steps: usize, -) -> Vec { - if !dialog_gcd_k5_clean_block_enabled() - || dialog_gcd_k5_tail_pair1_enabled() - || steps >= dialog_gcd_sidecar_group_size() - { - return Vec::new(); - } - assert_eq!(raw_block.len(), 15); - assert!(steps <= DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE); - let branch_end = 2 * dialog_gcd_sidecar_group_size(); - let fixed_tail_branch = if dialog_gcd_k5_tail3_fixed_last_enabled() && steps == 3 { - &raw_block[2 * (steps - 1)..2 * steps] - } else { - &[][..] - }; - fixed_tail_branch - .iter() - .chain(raw_block[2 * steps..branch_end].iter()) - .chain(raw_block[branch_end + steps..].iter()) - .copied() - .collect() -} - -fn dialog_gcd_k5_partial_raw_release_bits() -> usize { - std::env::var("DIALOG_GCD_K5_PARTIAL_RAW_RELEASE") - .ok() - .and_then(|value| value.parse::().ok()) - .unwrap_or(0) -} - -fn dialog_gcd_k5_transfer_survivors( - b: &mut B, - compressed_block: &[QubitId], - data: &[QubitId; 13], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), 12); - for (i, &wire) in DIALOG_GCD_K5_DATA_WIRES.iter().enumerate() { - if swap_host { - b.swap(compressed_block[i], data[wire]); - } else { - b.cx(compressed_block[i], data[wire]); - } - } -} - -fn dialog_gcd_k5_head11_transfer_survivors( - b: &mut B, - compressed_block: &[QubitId], - data: &[QubitId; 13], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); - for (i, &wire) in DIALOG_GCD_K5_HEAD11_DATA_WIRES.iter().enumerate() { - if swap_host { - b.swap(compressed_block[i], data[wire]); - } else { - b.cx(compressed_block[i], data[wire]); - } - } -} - -fn dialog_gcd_k5_head11_compress_raw_to_block( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); - assert_eq!(raw_block.len(), 15); - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); - let data = dialog_gcd_k5_data_from_raw(raw_block); - emit_dialog_gcd_k5_head11_preconditioner(b, &data); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); - b.free(ancilla); - dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); -} - -fn dialog_gcd_k5_head11_decompress_block_to_raw( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); - assert_eq!(raw_block.len(), 15); - let data = dialog_gcd_k5_data_from_raw(raw_block); - dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); - b.free(ancilla); - emit_dialog_gcd_k5_head11_preconditioner_inverse(b, &data); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); -} - -fn dialog_gcd_k5_compress_data_to_block( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), 12); - assert_eq!(raw_block.len(), 15); - let data = dialog_gcd_k5_data_from_raw(raw_block); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); - b.free(ancilla); - dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); -} - -fn dialog_gcd_k5_decompress_block_to_data( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), 12); - assert_eq!(raw_block.len(), 15); - let data = dialog_gcd_k5_data_from_raw(raw_block); - dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); - b.free(ancilla); -} - -fn dialog_gcd_k5_stream_pairs_start(b: &mut B, raw_block: &[QubitId]) { - assert_eq!(raw_block.len(), 15); - - b.free(raw_block[0]); - b.free(raw_block[4]); -} - -fn dialog_gcd_k5_stream_pairs_before_slot( - b: &mut B, - raw_block: &[QubitId], - slot: usize, -) { - match slot { - 3 => { - b.reacquire(raw_block[4]); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); - } - 1 => { - b.reacquire(raw_block[0]); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); - } - _ => {} - } -} - -fn dialog_gcd_k5_stream_pairs_after_slot_forward( - b: &mut B, - raw_block: &[QubitId], - slot: usize, -) { - match slot { - 2 => { - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); - b.free(raw_block[4]); - } - 0 => { - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); - b.free(raw_block[0]); - } - _ => {} - } -} - -fn dialog_gcd_k5_stream_pairs_before_slot_reverse( - b: &mut B, - raw_block: &[QubitId], - slot: usize, -) { - match slot { - 0 => { - b.reacquire(raw_block[0]); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); - } - 2 => { - b.reacquire(raw_block[4]); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); - } - _ => {} - } -} - -fn dialog_gcd_k5_stream_pairs_after_slot_reverse( - b: &mut B, - raw_block: &[QubitId], - slot: usize, -) { - match slot { - 1 => { - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); - b.free(raw_block[0]); - } - 3 => { - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); - b.free(raw_block[4]); - } - _ => {} - } -} - -fn dialog_gcd_k5_stream_pairs_finish(b: &mut B, raw_block: &[QubitId]) { - b.reacquire(raw_block[0]); - b.reacquire(raw_block[4]); -} - -fn dialog_gcd_k5_head11_pair_for_slot(slot: usize) -> usize { - assert!(slot < 4); - slot / 2 -} - -fn dialog_gcd_k5_head11_open_pair_for_slot(b: &mut B, raw_block: &[QubitId], slot: usize) { - match dialog_gcd_k5_head11_pair_for_slot(slot) { - 0 => { - b.reacquire(raw_block[0]); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); - } - 1 => { - b.reacquire(raw_block[4]); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); - } - _ => unreachable!(), - } -} - -fn dialog_gcd_k5_head11_close_pair_for_slot(b: &mut B, raw_block: &[QubitId], slot: usize) { - match dialog_gcd_k5_head11_pair_for_slot(slot) { - 0 => { - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); - b.free(raw_block[0]); - } - 1 => { - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); - b.free(raw_block[4]); - } - _ => unreachable!(), - } -} - -fn dialog_gcd_k5_head11_pair01_expose_s2(b: &mut B, raw_block: &[QubitId]) { - let w = [ - raw_block[1], - raw_block[10], - raw_block[2], - raw_block[3], - raw_block[11], - ]; - b.cx(w[0], w[2]); - b.cx(w[1], w[0]); - b.ccx(w[0], w[2], w[1]); -} - -fn dialog_gcd_k5_head11_pair01_unexpose_s2(b: &mut B, raw_block: &[QubitId]) { - let w = [ - raw_block[1], - raw_block[10], - raw_block[2], - raw_block[3], - raw_block[11], - ]; - b.ccx(w[0], w[2], w[1]); - b.cx(w[1], w[0]); - b.cx(w[0], w[2]); -} - -fn dialog_gcd_k5_head11_pair01_zero_lane(b: &mut B, raw_block: &[QubitId]) { - let w = [ - raw_block[1], - raw_block[10], - raw_block[2], - raw_block[3], - raw_block[11], - ]; - b.x(w[0]); - b.x(w[2]); - b.ccx(w[0], w[1], w[3]); - b.ccx(w[2], w[3], w[0]); -} - -fn dialog_gcd_k5_head11_pair01_unzero_lane(b: &mut B, raw_block: &[QubitId]) { - let w = [ - raw_block[1], - raw_block[10], - raw_block[2], - raw_block[3], - raw_block[11], - ]; - b.ccx(w[2], w[3], w[0]); - b.ccx(w[0], w[1], w[3]); - b.x(w[2]); - b.x(w[0]); -} - -const DIALOG_GCD_K5_HEAD11_PAIR23_S2_ANF: &[u16] = &[1, 2, 3, 4, 7, 9, 11, 13, 15]; - -fn dialog_gcd_k5_head11_toggle_pair23_s2_into( - b: &mut B, - raw_block: &[QubitId], - target: QubitId, -) { - let code = [ - raw_block[5], - raw_block[12], - raw_block[6], - raw_block[7], - raw_block[13], - ]; - dialog_gcd_toggle_anf_with_dirty( - b, - &code, - target, - raw_block, - DIALOG_GCD_K5_HEAD11_PAIR23_S2_ANF, - ); -} - -fn dialog_gcd_k5_head11_compress_data_to_block( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!( - compressed_block.len(), - DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() - ); - assert_eq!(raw_block.len(), 15); - let data = dialog_gcd_k5_data_from_raw(raw_block); - emit_dialog_gcd_k5_head11_preconditioner(b, &data); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); - b.free(ancilla); - dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); -} - -fn dialog_gcd_k5_head11_decompress_block_to_data( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!( - compressed_block.len(), - DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() - ); - assert_eq!(raw_block.len(), 15); - let data = dialog_gcd_k5_data_from_raw(raw_block); - dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); - b.free(ancilla); - emit_dialog_gcd_k5_head11_preconditioner_inverse(b, &data); -} - -fn dialog_gcd_k5_head11_pair_encode_word(bits: &mut [bool; 15], slots: [usize; 2]) { - let wire = [ - 3 * slots[0], - 3 * slots[0] + 1, - 3 * slots[0] + 2, - 3 * slots[1], - 3 * slots[1] + 1, - ]; - bits[wire[2]] ^= bits[wire[1]]; - bits[wire[4]] ^= bits[wire[0]]; - bits[wire[3]] ^= true; - bits[wire[1]] ^= bits[wire[2]] && bits[wire[3]]; - bits[wire[4]] ^= bits[wire[3]]; - bits[wire[0]] ^= bits[wire[3]] && bits[wire[4]]; - bits[wire[4]] ^= bits[wire[2]]; - bits[wire[3]] ^= bits[wire[0]]; - bits[wire[2]] ^= bits[wire[3]]; - bits[wire[4]] ^= bits[wire[3]]; - bits[wire[0]] ^= bits[wire[1]] && bits[wire[3]]; - bits[wire[0]] ^= bits[wire[1]]; - bits[wire[0]] ^= bits[wire[3]]; -} - -fn dialog_gcd_k5_head11_code_word(pattern: u16) -> Option { - let mut raw = std::array::from_fn::<_, 15, _>(|bit| (pattern >> bit) & 1 != 0); - dialog_gcd_k5_head11_pair_encode_word(&mut raw, [0, 1]); - dialog_gcd_k5_head11_pair_encode_word(&mut raw, [2, 3]); - if raw[0] || raw[6] { - return None; - } - - const RAW_DATA_INDICES: [usize; 13] = - [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14]; - let mut wires = [false; 14]; - for (index, raw_index) in RAW_DATA_INDICES.into_iter().enumerate() { - wires[index] = raw[raw_index]; - } - wires[0] ^= true; - wires[3] ^= wires[0] && wires[1]; - wires[0] ^= wires[2] && wires[3]; - wires[3] ^= wires[0]; - for &gate in DIALOG_GCD_K5_FABLE_GATES { - match gate { - DialogGcdK5FableGate::X(a) => wires[a] ^= true, - DialogGcdK5FableGate::Cx(a, c) => wires[c] ^= wires[a], - DialogGcdK5FableGate::Ccx(a, c, t) => wires[t] ^= wires[a] && wires[c], - } - } - if wires[3] || wires[10] || wires[13] { - return None; - } - Some( - DIALOG_GCD_K5_HEAD11_DATA_WIRES - .iter() - .enumerate() - .fold(0u16, |code, (index, &wire)| { - code | (u16::from(wires[wire]) << index) - }), - ) -} - -pub(crate) fn dialog_gcd_k5_head11_supports(pattern: u16) -> bool { - dialog_gcd_k5_head11_code_word(pattern).is_some() -} - -pub(crate) fn dialog_gcd_k5_head11_codec_selftest() -> Result<(), String> { - use sha3::digest::{ExtendableOutput, Update}; - - let supported = (0u16..1 << 15) - .filter(|&pattern| dialog_gcd_k5_head11_supports(pattern)) - .collect::>(); - if supported.len() != 1 << DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() { - return Err(format!( - "expected 2048 supported head words, got {}", - supported.len() - )); - } - let mut seen_codes = vec![false; 1 << DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()]; - for &pattern in &supported { - let code = dialog_gcd_k5_head11_code_word(pattern).expect("filtered support"); - if std::mem::replace(&mut seen_codes[code as usize], true) { - return Err(format!("duplicate head code 0x{code:03x}")); - } - } - - let build_codec = |decompress: bool| { - let mut b = B::new(); - let code = b.alloc_qubits(DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); - let raw = b.alloc_qubits(15); - if decompress { - dialog_gcd_k5_head11_decompress_block_to_raw(&mut b, &code, &raw, true); - } else { - dialog_gcd_k5_head11_compress_raw_to_block(&mut b, &code, &raw, true); - } - (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) - }; - let forward_codec = build_codec(false); - let reverse_codec = build_codec(true); - - for batch_start in (0..supported.len()).step_by(64) { - let patterns = &supported[batch_start..batch_start + 64]; - let mut raw_masks = [0u64; 15]; - let mut code_masks = [0u64; DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()]; - for (shot, &pattern) in patterns.iter().enumerate() { - let shot_bit = 1u64 << shot; - for slot in 0..5 { - if (pattern >> (3 * slot)) & 1 != 0 { - raw_masks[2 * slot] |= shot_bit; - } - if (pattern >> (3 * slot + 1)) & 1 != 0 { - raw_masks[2 * slot + 1] |= shot_bit; - } - if (pattern >> (3 * slot + 2)) & 1 != 0 { - raw_masks[10 + slot] |= shot_bit; - } - } - let code = dialog_gcd_k5_head11_code_word(pattern).expect("supported pattern"); - for (index, mask) in code_masks.iter_mut().enumerate() { - if (code >> index) & 1 != 0 { - *mask |= shot_bit; - } - } - } - - let run = |decompress: bool| { - let (ops, code, raw, num_qubits, num_bits) = - if decompress { &reverse_codec } else { &forward_codec }; - let mut seed = sha3::Shake128::default(); - seed.update(b"dialog-gcd-k5-head11-codec-selftest"); - seed.update(&(batch_start as u64).to_le_bytes()); - seed.update(&[u8::from(decompress)]); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(*num_qubits, *num_bits, &mut xof); - sim.clear_for_shot(); - let source = if decompress { - &code_masks[..] - } else { - &raw_masks[..] - }; - let targets = if decompress { &code[..] } else { &raw[..] }; - for (&qubit, &mask) in targets.iter().zip(source.iter()) { - *sim.qubit_mut(qubit) = mask; - } - sim.apply_iter(ops.iter()); - ( - code.iter().map(|&q| sim.qubit(q)).collect::>(), - raw.iter().map(|&q| sim.qubit(q)).collect::>(), - sim.phase, - ) - }; - - let (forward_code, forward_raw, forward_phase) = run(false); - if forward_phase != 0 { - return Err(format!( - "forward phase garbage in batch {batch_start}: 0x{forward_phase:x}" - )); - } - if forward_code != code_masks { - return Err(format!( - "forward code mismatch in batch {batch_start}: got {forward_code:x?}, want {code_masks:x?}" - )); - } - if forward_raw.iter().any(|&mask| mask != 0) { - return Err(format!( - "forward raw garbage in batch {batch_start}: {forward_raw:x?}" - )); - } - - let (reverse_code, reverse_raw, reverse_phase) = run(true); - if reverse_phase != 0 { - return Err(format!( - "reverse phase garbage in batch {batch_start}: 0x{reverse_phase:x}" - )); - } - if reverse_code.iter().any(|&mask| mask != 0) { - return Err(format!( - "reverse code garbage in batch {batch_start}: {reverse_code:x?}" - )); - } - if reverse_raw != raw_masks { - return Err(format!( - "reverse raw mismatch in batch {batch_start}: got {reverse_raw:x?}, want {raw_masks:x?}" - )); - } - } - Ok(()) -} - -fn dialog_gcd_k5_compress_raw_to_block( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), 12); - assert_eq!(raw_block.len(), 15); - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); - let data = dialog_gcd_k5_data_from_raw(raw_block); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); - b.free(ancilla); - dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); -} - -fn dialog_gcd_k5_decompress_block_to_raw( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), 12); - assert_eq!(raw_block.len(), 15); - let data = dialog_gcd_k5_data_from_raw(raw_block); - dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); - let ancilla = b.alloc_qubit(); - emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); - b.free(ancilla); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); -} - -fn dialog_gcd_k5_compress_partial_raw_to_block( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - steps: usize, - swap_host: bool, -) { - assert!(steps <= DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE); - assert_eq!(raw_block.len(), 15); - let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; - assert!( - compressed_block.len() == dialog_gcd_block_bits() - || compressed_block.len() == base_bits + steps - ); - let raw_base = 2 * DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE; - emit_dialog_gcd_round763_compressor(b, &raw_block[0..raw_base]); - for i in 0..base_bits { - if swap_host { b.swap(compressed_block[i], raw_block[i]); } else { b.cx(compressed_block[i], raw_block[i]); } - } - for slot in 0..steps { - let s2 = dialog_gcd_raw_s2(raw_block, slot); - if swap_host { b.swap(compressed_block[base_bits + slot], s2); } else { b.cx(compressed_block[base_bits + slot], s2); } - } -} - -fn dialog_gcd_k5_decompress_partial_block_to_raw( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - steps: usize, - swap_host: bool, -) { - assert!(steps <= DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE); - assert_eq!(raw_block.len(), 15); - let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; - assert!( - compressed_block.len() == dialog_gcd_block_bits() - || compressed_block.len() == base_bits + steps - ); - let raw_base = 2 * DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE; - for i in 0..base_bits { - if swap_host { b.swap(compressed_block[i], raw_block[i]); } else { b.cx(compressed_block[i], raw_block[i]); } - } - emit_dialog_gcd_round763_compressor_inverse(b, &raw_block[0..raw_base]); - for slot in 0..steps { - let s2 = dialog_gcd_raw_s2(raw_block, slot); - if swap_host { b.swap(compressed_block[base_bits + slot], s2); } else { b.cx(compressed_block[base_bits + slot], s2); } - } -} - -fn dialog_gcd_k5_tail_pair1_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && !dialog_gcd_k5_tail7_enabled() - && !dialog_gcd_k5_tail6_graph_enabled() - && !dialog_gcd_k5_tail6_graph9_enabled() - && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 2 - && std::env::var("DIALOG_GCD_K5_TAIL_PAIR1") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tail6_graph9_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && dialog_gcd_active_iterations() >= 6 - && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 1 - && std::env::var("DIALOG_GCD_K5_TAIL6_GRAPH9_CODEC") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_release_decoded_block_bits() -> usize { - if !dialog_gcd_k5_clean_block_enabled() || !dialog_gcd_apply_replay_swap_host_enabled() { - return 0; - } - std::env::var("DIALOG_GCD_K5_RELEASE_DECODED_BLOCK_BITS") - .ok() - .and_then(|value| value.parse::().ok()) - .unwrap_or(0) -} - -fn dialog_gcd_k5_release_decoded_tail_bits() -> usize { - std::env::var("DIALOG_GCD_K5_RELEASE_DECODED_TAIL_BITS") - .ok() - .and_then(|value| value.parse::().ok()) - .unwrap_or_else(dialog_gcd_k5_release_decoded_block_bits) -} - -fn dialog_gcd_k5_release_scale_bits() -> usize { - std::env::var("DIALOG_GCD_K5_RELEASE_SCALE_BITS") - .ok() - .and_then(|value| value.parse::().ok()) - .unwrap_or(0) -} - -fn dialog_gcd_k5_tail6_graph_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && dialog_gcd_active_iterations() >= 6 - && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 1 - && std::env::var("DIALOG_GCD_K5_TAIL6_GRAPH_CODEC") - .ok() - .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_tail7_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && dialog_gcd_active_iterations() >= 7 - && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 2 - && std::env::var("DIALOG_GCD_K5_TAIL7_CODEC") - .ok() - .as_deref() - == Some("1") -} - -const DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS: usize = 3; -const DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS: usize = 6; -const DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_MASKS: [u16; DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS] = - [0x0d4, 0x0d1, 0x040, 0x05f, 0x00d, 0x081]; -const DIALOG_GCD_K5_TAIL6_GRAPH_CODE_CONSTANT: u8 = 0x26; -const DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CONSTANT: u16 = 0x1dc; -const DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_DECODE_MASKS: [u8; 9] = - [0x00, 0x3a, 0x03, 0x13, 0x26, 0x00, 0x04, 0x20, 0x00]; -const DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_RAW_MASK: u16 = 0x085; -const DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_ANF: &[u16] = &[0x00, 0x02, 0x04, 0x05, 0x32]; -pub(crate) const DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT: [u32; 32] = [ - 0x24924, 0x24925, 0x24928, 0x24929, 0x2492b, 0x2492c, 0x2492d, 0x2492f, - 0x24944, 0x24945, 0x24947, 0x24948, 0x24949, 0x2494b, 0x2494d, 0x2494f, - 0x24958, 0x24959, 0x2495b, 0x2495c, 0x2495d, 0x2495f, 0x24965, 0x24967, - 0x24968, 0x24969, 0x2496b, 0x24978, 0x24979, 0x2497b, 0x2497d, 0x2497f, -]; - -const DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS: usize = 4; -const DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS: usize = 9; -const DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_MASKS: [u16; DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS] = - [0x9dc, 0xb6a, 0x717, 0x404, 0xe92, 0x00c, 0xa17, 0x7af, 0xf44]; -const DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CONSTANT: u16 = 0xc6c; -const DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_DECODE_MASKS: [u16; 12] = [ - 0x058, 0x000, 0x131, 0x111, 0x18e, 0x01b, 0x0d2, 0x000, 0x17d, 0x0a7, - 0x139, 0x000, -]; -const DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK: u16 = 0x71e; -const DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT: usize = 1; -const DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_ANF: &[u16] = &[ - 0x000, 0x002, 0x003, 0x006, 0x008, 0x00a, 0x011, 0x012, 0x020, 0x021, - 0x024, 0x040, 0x041, 0x042, 0x048, 0x060, 0x080, 0x081, 0x088, 0x0a0, - 0x100, 0x02c, 0x034, 0x064, 0x0a2, 0x0a4, -]; -pub(crate) const DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT: [u32; 75] = [ - 0x24924, 0x24925, 0x24928, 0x24929, 0x2492b, 0x2492c, 0x2492d, 0x2492f, - 0x24944, 0x24945, 0x24947, 0x24948, 0x24949, 0x2494b, 0x2494d, 0x2494f, - 0x24958, 0x24959, 0x2495b, 0x2495c, 0x2495d, 0x2495f, 0x24965, 0x24967, - 0x24968, 0x24969, 0x2496b, 0x24978, 0x24979, 0x2497b, 0x2497d, 0x2497f, - 0x24a27, 0x24a29, 0x24a2b, 0x24a2d, 0x24a2f, 0x24a38, 0x24a3f, 0x24a45, - 0x24a47, 0x24a49, 0x24a4b, 0x24a4d, 0x24a58, 0x24a59, 0x24a5b, 0x24a5f, - 0x24a65, 0x24a68, 0x24a6b, 0x24a78, 0x24a7c, 0x24ac5, 0x24ac8, 0x24ac9, - 0x24acb, 0x24acd, 0x24add, 0x24ae9, 0x24af8, 0x24af9, 0x24b29, 0x24b3c, - 0x24b3d, 0x24b45, 0x24b49, 0x24b4b, 0x24b5f, 0x24b79, 0x24bc5, 0x24bc9, - 0x24bd8, 0x24be4, 0x24bf9, -]; - -const DIALOG_GCD_K5_TAIL7_STORED_STEPS: usize = 4; -const DIALOG_GCD_K5_TAIL7_CODE_BITS: usize = 5; -const DIALOG_GCD_K5_TAIL7_PACKED_CODE_MASKS: [u32; DIALOG_GCD_K5_TAIL7_CODE_BITS] = - [0x8a0, 0x204, 0x80011, 0x38, 0x100402]; -const DIALOG_GCD_K5_TAIL7_RAW_CODE_MASKS: [u16; DIALOG_GCD_K5_TAIL7_CODE_BITS] = - [0x0a20, 0x0140, 0x0009, 0x020c, 0x0082]; -const DIALOG_GCD_K5_TAIL7_CODE_CONSTANT: u8 = 1 << 4; -pub(crate) const DIALOG_GCD_K5_TAIL7_SUPPORT: [u32; 20] = [ - 0x124924, 0x124925, 0x124929, 0x12492b, 0x124928, 0x12492d, 0x12492f, - 0x12494b, 0x124947, 0x124945, 0x12492c, 0x124958, 0x124949, 0x12495b, - 0x124959, 0x124967, 0x12495d, 0x124a4b, 0x12497f, 0x124979, -]; -const DIALOG_GCD_K5_TAIL7_RAW_ANF: [&[u16]; 12] = [ - &[1, 4, 7, 10, 12, 24, 28], - &[0, 16], - &[0, 7, 8, 10, 12, 24, 28], - &[1, 7, 10, 12, 24, 28], - &[1, 8, 9, 26], - &[], - &[11], - &[], - &[2, 11], - &[0, 1], - &[0, 11], - &[0], -]; - -fn dialog_gcd_toggle_mcx_with_dirty( - b: &mut B, - controls: &[QubitId], - dirty: &[QubitId], - target: QubitId, -) { - assert!(!controls.contains(&target)); - assert!(controls - .iter() - .enumerate() - .all(|(index, q)| !controls[..index].contains(q))); - match controls.len() { - 0 => b.x(target), - 1 => b.cx(controls[0], target), - 2 => b.ccx(controls[0], controls[1], target), - count => { - assert!(dirty.len() >= count - 2); - let bridge = dirty[0]; - assert_ne!(bridge, target); - assert!(!controls.contains(&bridge)); - dialog_gcd_toggle_mcx_with_dirty( - b, - &controls[..count - 1], - &dirty[1..], - bridge, - ); - b.ccx(bridge, controls[count - 1], target); - dialog_gcd_toggle_mcx_with_dirty( - b, - &controls[..count - 1], - &dirty[1..], - bridge, - ); - b.ccx(bridge, controls[count - 1], target); - } - } -} - -fn dialog_gcd_toggle_anf_with_dirty( - b: &mut B, - code: &[QubitId], - target: QubitId, - dirty_pool: &[QubitId], - terms: &[u16], -) { - assert!(code.len() <= u16::BITS as usize); - assert!(!code.contains(&target)); - for &mask in terms { - let controls = code - .iter() - .enumerate() - .filter_map(|(index, &q)| ((mask >> index) & 1 != 0).then_some(q)) - .collect::>(); - let dirty = dirty_pool - .iter() - .copied() - .filter(|q| *q != target && !controls.contains(q)) - .collect::>(); - dialog_gcd_toggle_mcx_with_dirty(b, &controls, &dirty, target); - } -} - -fn dialog_gcd_k5_tail6_graph9_toggle_code_from_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS); - assert_eq!(raw_block.len(), 15); - for (code_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_MASKS - .iter() - .enumerate() - { - for raw_bit in 0..12 { - if (mask >> raw_bit) & 1 != 0 { - b.cx(raw_block[raw_bit], code[code_index]); - } - } - } -} - -fn dialog_gcd_k5_tail6_graph9_toggle_linear_raw_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS); - assert_eq!(raw_block.len(), 15); - for (raw_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_DECODE_MASKS - .iter() - .enumerate() - { - if (DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CONSTANT >> raw_index) & 1 != 0 { - b.x(raw_block[raw_index]); - } - for code_bit in 0..DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS { - if (mask >> code_bit) & 1 != 0 { - b.cx(code[code_bit], raw_block[raw_index]); - } - } - } -} - -fn dialog_gcd_k5_tail6_graph9_toggle_selector_fanout( - b: &mut B, - raw_block: &[QubitId], -) { - assert_eq!(raw_block.len(), 15); - assert_ne!( - (DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK - >> DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT) - & 1, - 0 - ); - let pivot = raw_block[DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT]; - for raw_index in 0..12 { - if raw_index != DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT - && (DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK >> raw_index) & 1 != 0 - { - b.cx(pivot, raw_block[raw_index]); - } - } -} - -fn dialog_gcd_k5_tail6_graph9_toggle_selector( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_toggle_anf_with_dirty( - b, - code, - raw_block[DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT], - raw_block, - DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_ANF, - ); -} - -fn dialog_gcd_k5_tail6_graph9_compress_raw_to_block( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_k5_tail6_graph9_toggle_code_from_raw(b, code, raw_block); - dialog_gcd_k5_tail6_graph9_toggle_linear_raw_from_code(b, code, raw_block); - dialog_gcd_k5_tail6_graph9_toggle_selector_fanout(b, raw_block); - dialog_gcd_k5_tail6_graph9_toggle_selector(b, code, raw_block); -} - -fn dialog_gcd_k5_tail6_graph9_decompress_block_to_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_k5_tail6_graph9_toggle_selector(b, code, raw_block); - dialog_gcd_k5_tail6_graph9_toggle_selector_fanout(b, raw_block); - dialog_gcd_k5_tail6_graph9_toggle_linear_raw_from_code(b, code, raw_block); - dialog_gcd_k5_tail6_graph9_toggle_code_from_raw(b, code, raw_block); -} - -fn dialog_gcd_k5_tail6_graph9_raw_word(pattern: u32) -> u16 { - let mut raw_word = 0u16; - for slot in 0..DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS { - let digit = ((pattern >> (3 * slot)) & 7) as u16; - raw_word |= (digit & 1) << (2 * slot); - raw_word |= ((digit >> 1) & 1) << (2 * slot + 1); - raw_word |= ((digit >> 2) & 1) - << (2 * DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS + slot); - } - raw_word -} - -fn dialog_gcd_k5_tail6_graph9_code_word(raw_word: u16) -> u16 { - DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_MASKS - .iter() - .enumerate() - .fold(0u16, |code, (index, &mask)| { - code ^ ((((raw_word & mask).count_ones() & 1) as u16) << index) - }) -} - -fn dialog_gcd_k5_tail6_graph9_selector_word(code: u16) -> u16 { - DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_ANF - .iter() - .fold(0u16, |selector, &term| { - selector ^ u16::from(code & term == term) - }) -} - -fn dialog_gcd_k5_tail6_graph9_decode_word(code: u16) -> u16 { - let selector = dialog_gcd_k5_tail6_graph9_selector_word(code); - DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_DECODE_MASKS - .iter() - .enumerate() - .fold(DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CONSTANT, |raw, (index, &mask)| { - let bit = ((code & mask).count_ones() & 1) as u16 - ^ (selector - & ((DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK >> index) & 1)); - raw ^ (bit << index) - }) -} - -pub(crate) fn dialog_gcd_k5_tail6_graph9_supports(pattern: u32) -> bool { - if pattern >> 12 != 0x24 { - return false; - } - let raw = dialog_gcd_k5_tail6_graph9_raw_word(pattern); - let code = dialog_gcd_k5_tail6_graph9_code_word(raw); - dialog_gcd_k5_tail6_graph9_decode_word(code) == raw -} - -pub(crate) fn dialog_gcd_k5_tail6_graph9_codec_selftest() -> Result<(), String> { - use sha3::digest::{ExtendableOutput, Update}; - - for batch_start in (0..DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT.len()).step_by(64) { - let patterns = &DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT - [batch_start..(batch_start + 64).min(DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT.len())]; - let mut raw_masks = [0u64; 15]; - let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS]; - for (shot, &pattern) in patterns.iter().enumerate() { - if !dialog_gcd_k5_tail6_graph9_supports(pattern) { - return Err(format!("support pattern 0x{pattern:x} fails graph relation")); - } - let shot_bit = 1u64 << shot; - let raw_word = dialog_gcd_k5_tail6_graph9_raw_word(pattern); - for raw_bit in 0..12 { - if (raw_word >> raw_bit) & 1 != 0 { - raw_masks[raw_bit] |= shot_bit; - } - } - let code = dialog_gcd_k5_tail6_graph9_code_word(raw_word); - for (index, mask) in code_masks.iter_mut().enumerate() { - if (code >> index) & 1 != 0 { - *mask |= shot_bit; - } - } - } - - let build_codec = |decompress: bool| { - let mut b = B::new(); - let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS); - let raw = b.alloc_qubits(15); - if decompress { - dialog_gcd_k5_tail6_graph9_decompress_block_to_raw(&mut b, &code, &raw); - } else { - dialog_gcd_k5_tail6_graph9_compress_raw_to_block(&mut b, &code, &raw); - } - (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) - }; - - let run = |decompress: bool| { - let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); - let mut seed = sha3::Shake128::default(); - seed.update(b"dialog-gcd-k5-tail6-graph9-codec-selftest"); - seed.update(&(batch_start as u64).to_le_bytes()); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); - sim.clear_for_shot(); - let source = if decompress { &code_masks[..] } else { &raw_masks[..] }; - let targets = if decompress { &code[..] } else { &raw[..] }; - for (&qubit, &mask) in targets.iter().zip(source.iter()) { - *sim.qubit_mut(qubit) = mask; - } - sim.apply_iter(ops.iter()); - ( - code.iter().map(|&q| sim.qubit(q)).collect::>(), - raw.iter().map(|&q| sim.qubit(q)).collect::>(), - sim.phase, - ) - }; - - let active_mask = if patterns.len() == 64 { - u64::MAX - } else { - (1u64 << patterns.len()) - 1 - }; - let (forward_code, forward_raw, forward_phase) = run(false); - if forward_phase & active_mask != 0 { - return Err(format!( - "forward phase garbage in batch {batch_start}: 0x{:x}", - forward_phase & active_mask - )); - } - if forward_code - .iter() - .zip(code_masks.iter()) - .any(|(&got, &want)| (got ^ want) & active_mask != 0) - { - return Err(format!( - "forward code mismatch in batch {batch_start}: got {forward_code:x?}, want {code_masks:x?}" - )); - } - if forward_raw - .iter() - .any(|&mask| mask & active_mask != 0) - { - return Err(format!( - "forward raw garbage in batch {batch_start}: {forward_raw:x?}" - )); - } - - let (reverse_code, reverse_raw, reverse_phase) = run(true); - if reverse_phase & active_mask != 0 { - return Err(format!( - "reverse phase garbage in batch {batch_start}: 0x{:x}", - reverse_phase & active_mask - )); - } - if reverse_code - .iter() - .any(|&mask| mask & active_mask != 0) - { - return Err(format!( - "reverse code garbage in batch {batch_start}: {reverse_code:x?}" - )); - } - if reverse_raw - .iter() - .zip(raw_masks.iter()) - .any(|(&got, &want)| (got ^ want) & active_mask != 0) - { - return Err(format!( - "reverse raw mismatch in batch {batch_start}: got {reverse_raw:x?}, want {raw_masks:x?}" - )); - } - } - Ok(()) -} - -fn dialog_gcd_k5_tail6_graph_toggle_code_from_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS); - assert_eq!(raw_block.len(), 15); - for (code_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_MASKS - .iter() - .enumerate() - { - for raw_bit in 0..9 { - if (mask >> raw_bit) & 1 != 0 { - b.cx(raw_block[raw_bit], code[code_index]); - } - } - if (DIALOG_GCD_K5_TAIL6_GRAPH_CODE_CONSTANT >> code_index) & 1 != 0 { - b.x(code[code_index]); - } - } -} - -fn dialog_gcd_k5_tail6_graph_toggle_linear_raw_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS); - assert_eq!(raw_block.len(), 15); - for (raw_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_DECODE_MASKS - .iter() - .enumerate() - { - if (DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CONSTANT >> raw_index) & 1 != 0 { - b.x(raw_block[raw_index]); - } - for code_bit in 0..DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS { - if (mask >> code_bit) & 1 != 0 { - b.cx(code[code_bit], raw_block[raw_index]); - } - } - } -} - -fn dialog_gcd_k5_tail6_graph_toggle_selector_fanout( - b: &mut B, - raw_block: &[QubitId], -) { - assert_eq!(raw_block.len(), 15); - let pivot = raw_block[0]; - assert_eq!(DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_RAW_MASK & 1, 1); - for raw_index in 1..9 { - if (DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_RAW_MASK >> raw_index) & 1 != 0 { - b.cx(pivot, raw_block[raw_index]); - } - } -} - -fn dialog_gcd_k5_tail6_graph_toggle_selector( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_toggle_anf_with_dirty( - b, - code, - raw_block[0], - raw_block, - DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_ANF, - ); -} - -fn dialog_gcd_k5_tail6_graph_compress_raw_to_block( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_k5_tail6_graph_toggle_code_from_raw(b, code, raw_block); - dialog_gcd_k5_tail6_graph_toggle_linear_raw_from_code(b, code, raw_block); - dialog_gcd_k5_tail6_graph_toggle_selector_fanout(b, raw_block); - dialog_gcd_k5_tail6_graph_toggle_selector(b, code, raw_block); -} - -fn dialog_gcd_k5_tail6_graph_decompress_block_to_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_k5_tail6_graph_toggle_selector(b, code, raw_block); - dialog_gcd_k5_tail6_graph_toggle_selector_fanout(b, raw_block); - dialog_gcd_k5_tail6_graph_toggle_linear_raw_from_code(b, code, raw_block); - dialog_gcd_k5_tail6_graph_toggle_code_from_raw(b, code, raw_block); -} - -pub(crate) fn dialog_gcd_k5_tail6_graph_codec_selftest() -> Result<(), String> { - use sha3::digest::{ExtendableOutput, Update}; - - let mut raw_masks = [0u64; 15]; - let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS]; - for shot in 0..64 { - let pattern = - DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT[shot % DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT.len()]; - let shot_bit = 1u64 << shot; - let mut raw_word = 0u16; - for slot in 0..DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS { - if (pattern >> (3 * slot)) & 1 != 0 { - raw_masks[2 * slot] |= shot_bit; - raw_word |= 1 << (2 * slot); - } - if (pattern >> (3 * slot + 1)) & 1 != 0 { - raw_masks[2 * slot + 1] |= shot_bit; - raw_word |= 1 << (2 * slot + 1); - } - if (pattern >> (3 * slot + 2)) & 1 != 0 { - let raw_index = 2 * DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS + slot; - raw_masks[raw_index] |= shot_bit; - raw_word |= 1 << raw_index; - } - } - let code = DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_MASKS - .iter() - .enumerate() - .fold(DIALOG_GCD_K5_TAIL6_GRAPH_CODE_CONSTANT, |packed, (index, &mask)| { - packed ^ ((((raw_word & mask).count_ones() & 1) as u8) << index) - }); - for (index, mask) in code_masks.iter_mut().enumerate() { - if (code >> index) & 1 != 0 { - *mask |= shot_bit; - } - } - } - - let build_codec = |decompress: bool| { - let mut b = B::new(); - let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS); - let raw = b.alloc_qubits(15); - if decompress { - dialog_gcd_k5_tail6_graph_decompress_block_to_raw(&mut b, &code, &raw); - } else { - dialog_gcd_k5_tail6_graph_compress_raw_to_block(&mut b, &code, &raw); - } - (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) - }; - - let run = |decompress: bool| { - let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); - let mut seed = sha3::Shake128::default(); - seed.update(b"dialog-gcd-k5-tail6-graph-codec-selftest"); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); - sim.clear_for_shot(); - let source = if decompress { &code_masks[..] } else { &raw_masks[..] }; - let targets = if decompress { &code[..] } else { &raw[..] }; - for (&qubit, &mask) in targets.iter().zip(source.iter()) { - *sim.qubit_mut(qubit) = mask; - } - sim.apply_iter(ops.iter()); - ( - code.iter().map(|&q| sim.qubit(q)).collect::>(), - raw.iter().map(|&q| sim.qubit(q)).collect::>(), - sim.phase, - ) - }; - - let (forward_code, forward_raw, forward_phase) = run(false); - if forward_phase != 0 { - return Err(format!("forward phase garbage 0x{forward_phase:x}")); - } - if forward_code != code_masks { - return Err(format!( - "forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" - )); - } - if forward_raw.iter().any(|&mask| mask != 0) { - return Err(format!("forward raw garbage: {forward_raw:x?}")); - } - - let (reverse_code, reverse_raw, reverse_phase) = run(true); - if reverse_phase != 0 { - return Err(format!("reverse phase garbage 0x{reverse_phase:x}")); - } - if reverse_code.iter().any(|&mask| mask != 0) { - return Err(format!("reverse code garbage: {reverse_code:x?}")); - } - if reverse_raw != raw_masks { - return Err(format!( - "reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" - )); - } - Ok(()) -} - -fn dialog_gcd_k5_tail7_toggle_code_from_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL7_CODE_BITS); - assert_eq!(raw_block.len(), 15); - for (code_index, &mask) in DIALOG_GCD_K5_TAIL7_RAW_CODE_MASKS.iter().enumerate() { - for raw_bit in 0..12 { - if (mask >> raw_bit) & 1 != 0 { - b.cx(raw_block[raw_bit], code[code_index]); - } - } - if (DIALOG_GCD_K5_TAIL7_CODE_CONSTANT >> code_index) & 1 != 0 { - b.x(code[code_index]); - } - } -} - -fn dialog_gcd_k5_tail7_toggle_raw_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL7_CODE_BITS); - assert_eq!(raw_block.len(), 15); - for (raw_index, terms) in DIALOG_GCD_K5_TAIL7_RAW_ANF.iter().enumerate() { - dialog_gcd_toggle_anf_with_dirty(b, code, raw_block[raw_index], raw_block, terms); - } -} - -fn dialog_gcd_k5_tail7_compress_raw_to_block( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_k5_tail7_toggle_code_from_raw(b, code, raw_block); - dialog_gcd_k5_tail7_toggle_raw_from_code(b, code, raw_block); -} - -fn dialog_gcd_k5_tail7_decompress_block_to_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - dialog_gcd_k5_tail7_toggle_raw_from_code(b, code, raw_block); - dialog_gcd_k5_tail7_toggle_code_from_raw(b, code, raw_block); -} - -fn dialog_gcd_k5_tail3_transfer_survivors( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); - assert_eq!(raw_block.len(), 15); - for (index, &wire) in DIALOG_GCD_K5_TAIL3_DATA_WIRES.iter().enumerate() { - if swap_host { - b.swap(compressed_block[index], raw_block[wire]); - } else { - b.cx(compressed_block[index], raw_block[wire]); - } - } -} - -fn dialog_gcd_k5_tail3_top32_raw(raw_block: &[QubitId]) -> [QubitId; 9] { - assert_eq!(raw_block.len(), 15); - DIALOG_GCD_K5_TAIL3_TOP32_RAW_WIRES.map(|wire| raw_block[wire]) -} - -fn dialog_gcd_k5_tail3_top32_toggle_code_from_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); - let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); - let code_constant = if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { - DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_CODE_CONSTANT - } else { - DIALOG_GCD_K5_TAIL3_TOP32_CODE_CONSTANT - }; - for code_index in 0..DIALOG_GCD_K5_TAIL3_TOP32_ENCODER_ANF.len() { - let terms = if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { - DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_ENCODER_ANF[code_index] - } else { - DIALOG_GCD_K5_TAIL3_TOP32_ENCODER_ANF[code_index] - }; - if (code_constant >> code_index) & 1 != 0 { - b.x(code[code_index]); - } - for &mask in terms { - let controls = raw - .iter() - .enumerate() - .filter_map(|(index, &q)| ((mask >> index) & 1 != 0).then_some(q)) - .collect::>(); - assert!(controls.len() <= 2); - dialog_gcd_toggle_mcx_with_dirty(b, &controls, raw_block, code[code_index]); - } - } -} - -fn dialog_gcd_k5_tail3_top32_toggle_raw_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], -) { - assert_eq!(code.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); - let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); - for raw_index in 0..DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF.len() { - let terms = if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { - DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_DECODER_ANF[raw_index] - } else { - DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF[raw_index] - }; - dialog_gcd_toggle_anf_with_dirty(b, code, raw[raw_index], raw_block, terms); - } -} - -fn dialog_gcd_k5_tail3_top32_slot_raw( - raw_block: &[QubitId], - slot: usize, -) -> [QubitId; 3] { - assert_eq!(raw_block.len(), 15); - assert!(slot < 3); - [raw_block[2 * slot], raw_block[2 * slot + 1], raw_block[10 + slot]] -} - -fn dialog_gcd_k5_tail3_top32_slot_branch_raw( - raw_block: &[QubitId], - slot: usize, -) -> [QubitId; 2] { - assert_eq!(raw_block.len(), 15); - assert!(slot < 3); - [raw_block[2 * slot], raw_block[2 * slot + 1]] -} - -fn dialog_gcd_k5_tail3_top32_slot_shift_raw( - raw_block: &[QubitId], - slot: usize, -) -> [QubitId; 1] { - assert_eq!(raw_block.len(), 15); - assert!(slot < 3); - [raw_block[10 + slot]] -} - -fn dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], - raw_indices: &[usize], -) { - let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); - for &raw_index in raw_indices { - dialog_gcd_toggle_anf_with_dirty( - b, - code, - raw[raw_index], - raw_block, - if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { - DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_DECODER_ANF[raw_index] - } else { - DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF[raw_index] - }, - ); - } -} - -fn dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], - slot: usize, -) { - dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( - b, - code, - raw_block, - &[2 * slot, 2 * slot + 1], - ); -} - -fn dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], - slot: usize, -) { - dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code(b, code, raw_block, &[6 + slot]); -} - -fn dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], - slot: usize, -) { - let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); - for raw_index in [2 * slot, 2 * slot + 1, 6 + slot] { - dialog_gcd_toggle_anf_with_dirty( - b, - code, - raw[raw_index], - raw_block, - DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF[raw_index], - ); - } -} - -fn dialog_gcd_k5_tail3_top32_stream_scratch(raw_block: &[QubitId]) -> Vec { - assert_eq!(raw_block.len(), 15); - DIALOG_GCD_K5_TAIL3_TOP32_STREAM_SCRATCH_WIRES - .iter() - .map(|&wire| raw_block[wire]) - .collect() -} - -fn dialog_gcd_k5_tail3_top32_stream_dynamic(raw_block: &[QubitId]) -> Vec { - assert_eq!(raw_block.len(), 15); - raw_block - .iter() - .enumerate() - .filter_map(|(wire, &q)| { - (!DIALOG_GCD_K5_TAIL3_TOP32_STREAM_SCRATCH_WIRES.contains(&wire)).then_some(q) - }) - .collect() -} - -fn dialog_gcd_k5_tail3_top32_compress_raw_to_block( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - if swap_host { - dialog_gcd_k5_tail3_top32_toggle_code_from_raw(b, code, raw_block); - } - dialog_gcd_k5_tail3_top32_toggle_raw_from_code(b, code, raw_block); -} - -fn dialog_gcd_k5_tail3_top32_decompress_block_to_raw( - b: &mut B, - code: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - dialog_gcd_k5_tail3_top32_toggle_raw_from_code(b, code, raw_block); - if swap_host { - dialog_gcd_k5_tail3_top32_toggle_code_from_raw(b, code, raw_block); - } -} - -fn dialog_gcd_k5_tail3_top32_raw_word(pattern: u16) -> u16 { - (0..3).fold(0u16, |raw, slot| { - let digit = (pattern >> (3 * slot)) & 7; - raw - | ((digit & 1) << (2 * slot)) - | (((digit >> 1) & 1) << (2 * slot + 1)) - | (((digit >> 2) & 1) << (6 + slot)) - }) -} - -fn dialog_gcd_k5_tail3_top32_code_word(raw: u16) -> u8 { - DIALOG_GCD_K5_TAIL3_TOP32_ENCODER_ANF - .iter() - .enumerate() - .fold(DIALOG_GCD_K5_TAIL3_TOP32_CODE_CONSTANT, |code, (index, terms)| { - let bit = terms - .iter() - .fold(0u8, |value, &mask| value ^ u8::from(raw & mask == mask)); - code ^ (bit << index) - }) -} - -fn dialog_gcd_k5_tail3_top32_decode_word(code: u8) -> u16 { - DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF - .iter() - .enumerate() - .fold(0u16, |raw, (index, terms)| { - let bit = terms.iter().fold(0u16, |value, &mask| { - value ^ u16::from((u16::from(code) & mask) == mask) - }); - raw ^ (bit << index) - }) -} - -pub(crate) fn dialog_gcd_k5_tail3_top32_supports(pattern: u16) -> bool { - DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT.contains(&pattern) -} - -pub(crate) fn dialog_gcd_k5_tail3_top32_codec_selftest() -> Result<(), String> { - use sha3::digest::{ExtendableOutput, Update}; - - let mut seen_codes = [false; 1 << DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; - for &pattern in &DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT { - let raw = dialog_gcd_k5_tail3_top32_raw_word(pattern); - let code = dialog_gcd_k5_tail3_top32_code_word(raw); - if std::mem::replace(&mut seen_codes[code as usize], true) { - return Err(format!( - "duplicate top32 code for pattern 0x{pattern:03x}: 0x{code:02x}" - )); - } - let decoded = dialog_gcd_k5_tail3_top32_decode_word(code); - if decoded != raw { - return Err(format!( - "top32 word mismatch for pattern 0x{pattern:03x}: got 0x{decoded:03x}, want 0x{raw:03x}" - )); - } - } - if seen_codes.iter().any(|seen| !seen) { - return Err("top32 codec does not cover all 32 code words".to_string()); - } - - let mut raw_masks = [0u64; 15]; - let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; - for shot in 0..64 { - let pattern = DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT - [shot % DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT.len()]; - let raw = dialog_gcd_k5_tail3_top32_raw_word(pattern); - let code = dialog_gcd_k5_tail3_top32_code_word(raw); - let shot_bit = 1u64 << shot; - for (index, &wire) in DIALOG_GCD_K5_TAIL3_TOP32_RAW_WIRES - .iter() - .enumerate() - { - if (raw >> index) & 1 != 0 { - raw_masks[wire] |= shot_bit; - } - } - for (index, mask) in code_masks.iter_mut().enumerate() { - if (code >> index) & 1 != 0 { - *mask |= shot_bit; - } - } - } - - let build_codec = |decompress: bool| { - let mut b = B::new(); - let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); - let raw = b.alloc_qubits(15); - if decompress { - dialog_gcd_k5_tail3_top32_decompress_block_to_raw(&mut b, &code, &raw, true); - } else { - dialog_gcd_k5_tail3_top32_compress_raw_to_block(&mut b, &code, &raw, true); - } - (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) - }; - - let run = |decompress: bool, source: &[u64]| { - let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); - let mut seed = sha3::Shake128::default(); - seed.update(b"dialog-gcd-k5-tail3-top32-codec-selftest"); - seed.update(&[u8::from(decompress)]); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); - sim.clear_for_shot(); - let targets = if decompress { &code[..] } else { &raw[..] }; - for (&qubit, &mask) in targets.iter().zip(source.iter()) { - *sim.qubit_mut(qubit) = mask; - } - sim.apply_iter(ops.iter()); - ( - code.iter().map(|&q| sim.qubit(q)).collect::>(), - raw.iter().map(|&q| sim.qubit(q)).collect::>(), - sim.phase, - ) - }; - - let (forward_code, forward_raw, forward_phase) = run(false, &raw_masks); - if forward_phase != 0 { - return Err(format!("top32 forward phase garbage 0x{forward_phase:x}")); - } - if forward_code != code_masks { - return Err(format!( - "top32 forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" - )); - } - if forward_raw.iter().any(|&mask| mask != 0) { - return Err(format!("top32 forward raw garbage: {forward_raw:x?}")); - } - - let (reverse_code, reverse_raw, reverse_phase) = run(true, &code_masks); - if reverse_phase != 0 { - return Err(format!("top32 reverse phase garbage 0x{reverse_phase:x}")); - } - if reverse_code.iter().any(|&mask| mask != 0) { - return Err(format!("top32 reverse code garbage: {reverse_code:x?}")); - } - if reverse_raw != raw_masks { - return Err(format!( - "top32 reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" - )); - } - Ok(()) -} - -fn dialog_gcd_k5_tail3_compress_raw_to_block( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); - assert_eq!(raw_block.len(), 15); - emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); - dialog_gcd_k5_tail3_transfer_survivors(b, compressed_block, raw_block, swap_host); -} - -fn dialog_gcd_k5_tail3_decompress_block_to_raw( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - swap_host: bool, -) { - assert_eq!(compressed_block.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); - assert_eq!(raw_block.len(), 15); - dialog_gcd_k5_tail3_transfer_survivors(b, compressed_block, raw_block, swap_host); - emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); -} - -fn dialog_gcd_k5_tail3_code_word(left: u8, right: u8) -> Option { - let mut raw = [false; 15]; - for (slot, digit) in [left, right].into_iter().enumerate() { - raw[3 * slot] = digit & 1 != 0; - raw[3 * slot + 1] = digit & 2 != 0; - raw[3 * slot + 2] = digit & 4 != 0; - } - dialog_gcd_k5_head11_pair_encode_word(&mut raw, [0, 1]); - if raw[0] { - return None; - } - Some( - [1usize, 2, 3, 4, 5] - .iter() - .enumerate() - .fold(0u8, |code, (index, &wire)| { - code | (u8::from(raw[wire]) << index) - }), - ) -} - -pub(crate) fn dialog_gcd_k5_tail3_codec_selftest() -> Result<(), String> { - use sha3::digest::{ExtendableOutput, Update}; - - const DIGITS: [u8; 6] = [0, 1, 3, 4, 5, 7]; - let supported = DIGITS - .into_iter() - .flat_map(|left| DIGITS.into_iter().map(move |right| (left, right))) - .filter(|&(left, right)| dialog_gcd_k5_tail3_code_word(left, right).is_some()) - .collect::>(); - if supported.len() != 30 { - return Err(format!( - "expected 30 supported tail pairs, got {}", - supported.len() - )); - } - let mut seen_codes = [false; 1 << DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; - for &(left, right) in &supported { - let code = dialog_gcd_k5_tail3_code_word(left, right).expect("filtered support"); - if std::mem::replace(&mut seen_codes[code as usize], true) { - return Err(format!( - "duplicate tail-pair code for digits ({left}, {right}): 0x{code:02x}" - )); - } - } - - let mut raw_masks = [0u64; 15]; - let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; - for shot in 0..64 { - let (left, right) = supported[shot % supported.len()]; - let shot_bit = 1u64 << shot; - for (slot, digit) in [left, right].into_iter().enumerate() { - if digit & 1 != 0 { - raw_masks[2 * slot] |= shot_bit; - } - if digit & 2 != 0 { - raw_masks[2 * slot + 1] |= shot_bit; - } - if digit & 4 != 0 { - raw_masks[10 + slot] |= shot_bit; - } - } - let code = dialog_gcd_k5_tail3_code_word(left, right).expect("supported pair"); - for (index, mask) in code_masks.iter_mut().enumerate() { - if (code >> index) & 1 != 0 { - *mask |= shot_bit; - } - } - } - - let build_codec = |decompress: bool| { - let mut b = B::new(); - let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); - let raw = b.alloc_qubits(15); - if decompress { - dialog_gcd_k5_tail3_decompress_block_to_raw(&mut b, &code, &raw, true); - } else { - dialog_gcd_k5_tail3_compress_raw_to_block(&mut b, &code, &raw, true); - } - (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) - }; - - let run = |decompress: bool, source: &[u64]| { - let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); - let mut seed = sha3::Shake128::default(); - seed.update(b"dialog-gcd-k5-tail3-codec-selftest"); - seed.update(&[u8::from(decompress)]); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); - sim.clear_for_shot(); - let targets = if decompress { &code[..] } else { &raw[..] }; - for (&qubit, &mask) in targets.iter().zip(source.iter()) { - *sim.qubit_mut(qubit) = mask; - } - sim.apply_iter(ops.iter()); - ( - code.iter().map(|&q| sim.qubit(q)).collect::>(), - raw.iter().map(|&q| sim.qubit(q)).collect::>(), - sim.phase, - ) - }; - - let (forward_code, forward_raw, forward_phase) = run(false, &raw_masks); - if forward_phase != 0 { - return Err(format!("forward phase garbage 0x{forward_phase:x}")); - } - if forward_code != code_masks { - return Err(format!( - "forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" - )); - } - if forward_raw.iter().any(|&mask| mask != 0) { - return Err(format!("forward raw garbage: {forward_raw:x?}")); - } - - let (reverse_code, reverse_raw, reverse_phase) = run(true, &forward_code); - if reverse_phase != 0 { - return Err(format!("reverse phase garbage 0x{reverse_phase:x}")); - } - if reverse_code.iter().any(|&mask| mask != 0) { - return Err(format!("reverse code garbage: {reverse_code:x?}")); - } - if reverse_raw != raw_masks { - return Err(format!( - "reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" - )); - } - Ok(()) +pub(crate) fn round763_dedup_enabled() -> bool { + // EXACT rewrite: the pair ccx(1,3->4) ... ccx(1,3->4) bracketing cx(1->0) + // cancels (nothing between them touches 1/3/4), so it reduces to bare cx(1->0). + // 2 CCX -> 0 per direction x ~1064 sites. Default OFF (op-stream reseed). + std::env::var("DIALOG_GCD_ROUND763_DEDUP").ok().as_deref() == Some("1") } -pub(crate) fn dialog_gcd_k5_tail7_codec_selftest() -> Result<(), String> { - use sha3::digest::{ExtendableOutput, Update}; - - let mut raw_masks = [0u64; 15]; - let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL7_CODE_BITS]; - for shot in 0..64 { - let pattern = DIALOG_GCD_K5_TAIL7_SUPPORT[shot % DIALOG_GCD_K5_TAIL7_SUPPORT.len()]; - let shot_bit = 1u64 << shot; - for slot in 0..DIALOG_GCD_K5_TAIL7_STORED_STEPS { - if (pattern >> (3 * slot)) & 1 != 0 { - raw_masks[2 * slot] |= shot_bit; - } - if (pattern >> (3 * slot + 1)) & 1 != 0 { - raw_masks[2 * slot + 1] |= shot_bit; - } - if (pattern >> (3 * slot + 2)) & 1 != 0 { - raw_masks[2 * DIALOG_GCD_K5_TAIL7_STORED_STEPS + slot] |= shot_bit; - } - } - let code = DIALOG_GCD_K5_TAIL7_PACKED_CODE_MASKS - .iter() - .enumerate() - .fold(0u8, |packed, (index, &mask)| { - packed | ((((pattern & mask).count_ones() & 1) as u8) << index) - }); - for (index, mask) in code_masks.iter_mut().enumerate() { - if (code >> index) & 1 != 0 { - *mask |= shot_bit; - } - } - } - - let build_codec = |decompress: bool| { - let mut b = B::new(); - let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL7_CODE_BITS); - let raw = b.alloc_qubits(15); - if decompress { - dialog_gcd_k5_tail7_decompress_block_to_raw(&mut b, &code, &raw); - } else { - dialog_gcd_k5_tail7_compress_raw_to_block(&mut b, &code, &raw); - } - (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) - }; - - let run = |decompress: bool| { - let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); - let mut seed = sha3::Shake128::default(); - seed.update(b"dialog-gcd-k5-tail7-codec-selftest"); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); - sim.clear_for_shot(); - let source = if decompress { &code_masks[..] } else { &raw_masks[..] }; - let targets = if decompress { &code[..] } else { &raw[..] }; - for (&qubit, &mask) in targets.iter().zip(source.iter()) { - *sim.qubit_mut(qubit) = mask; - } - sim.apply_iter(ops.iter()); - ( - code.iter().map(|&q| sim.qubit(q)).collect::>(), - raw.iter().map(|&q| sim.qubit(q)).collect::>(), - sim.phase, - ) - }; - - let (forward_code, forward_raw, forward_phase) = run(false); - if forward_phase != 0 { - return Err(format!("forward phase garbage 0x{forward_phase:x}")); - } - if forward_code != code_masks { - return Err(format!( - "forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" - )); - } - if forward_raw.iter().any(|&mask| mask != 0) { - return Err(format!("forward raw garbage: {forward_raw:x?}")); - } - - let (reverse_code, reverse_raw, reverse_phase) = run(true); - if reverse_phase != 0 { - return Err(format!("reverse phase garbage 0x{reverse_phase:x}")); - } - if reverse_code.iter().any(|&mask| mask != 0) { - return Err(format!("reverse code garbage: {reverse_code:x?}")); - } - if reverse_raw != raw_masks { - return Err(format!( - "reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" - )); - } - Ok(()) +pub(crate) fn round763_compress_lever_enabled() -> bool { + // Reachable-support rewrite of the round763 6->5 sidecar packer. Each raw + // slot is (b0, b0_and_b1), with b0_and_b1 = b0 & (v QubitId { + if wire == 13 { + ancilla + } else { + debug_assert!(wire < data.len()); + data[wire] + } +} + +fn dialog_gcd_k5_emit_fable_gate( + b: &mut B, + data: &[QubitId; 13], + ancilla: QubitId, + gate: DialogGcdK5FableGate, +) { + match gate { + DialogGcdK5FableGate::X(a) => b.x(dialog_gcd_k5_fable_wire(data, ancilla, a)), + DialogGcdK5FableGate::Cx(a, c) => b.cx( + dialog_gcd_k5_fable_wire(data, ancilla, a), + dialog_gcd_k5_fable_wire(data, ancilla, c), + ), + DialogGcdK5FableGate::Ccx(a, c, t) => b.ccx( + dialog_gcd_k5_fable_wire(data, ancilla, a), + dialog_gcd_k5_fable_wire(data, ancilla, c), + dialog_gcd_k5_fable_wire(data, ancilla, t), + ), + } +} + +fn dialog_gcd_k5_emit_fable_codec( + b: &mut B, + data: &[QubitId; 13], + ancilla: QubitId, + inverse: bool, +) { + if inverse { + for &gate in DIALOG_GCD_K5_FABLE_GATES.iter().rev() { + dialog_gcd_k5_emit_fable_gate(b, data, ancilla, gate); + } + } else { + for &gate in DIALOG_GCD_K5_FABLE_GATES { + dialog_gcd_k5_emit_fable_gate(b, data, ancilla, gate); + } + } +} + +fn emit_dialog_gcd_k5_clean_compressor(b: &mut B, data: &[QubitId; 13], ancilla: QubitId) { + dialog_gcd_k5_emit_fable_codec(b, data, ancilla, false); +} + +fn emit_dialog_gcd_k5_clean_compressor_inverse( + b: &mut B, + data: &[QubitId; 13], + ancilla: QubitId, +) { + dialog_gcd_k5_emit_fable_codec(b, data, ancilla, true); +} + +fn dialog_gcd_k5_head11_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && dialog_gcd_active_iterations() >= 5 + && std::env::var("DIALOG_GCD_K5_HEAD11_CODEC") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tight_partial_block_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && std::env::var("DIALOG_GCD_K5_TIGHT_PARTIAL_BLOCK") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tail3_fixed_last_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && dialog_gcd_active_iterations() >= 3 + && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 3 + && std::env::var("DIALOG_GCD_K5_TAIL3_FIXED_LAST") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tail3_top32_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && dialog_gcd_active_iterations() >= 3 + && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 3 + && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_CODEC") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tail3_top32_stream_apply_enabled() -> bool { + dialog_gcd_k5_tail3_top32_enabled() + && dialog_gcd_apply_replay_swap_host_enabled() + && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_STREAM_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tail3_top32_split_slot_apply_enabled() -> bool { + dialog_gcd_k5_tail3_top32_stream_apply_enabled() + && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_SPLIT_SLOT_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() -> bool { + dialog_gcd_k5_tail3_top32_split_slot_apply_enabled() + && std::env::var("DIALOG_GCD_K5_TAIL3_TOP32_FINAL_S2_CONST_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_head11_stream_pair_apply_enabled() -> bool { + dialog_gcd_k5_head11_enabled() + && dialog_gcd_apply_replay_swap_host_enabled() + && std::env::var("DIALOG_GCD_K5_HEAD11_STREAM_PAIR_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_head11_split_pair_shift_apply_enabled() -> bool { + dialog_gcd_k5_head11_stream_pair_apply_enabled() + && std::env::var("DIALOG_GCD_K5_HEAD11_SPLIT_PAIR_SHIFT_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_head11_pair01_s2_permute_apply_enabled() -> bool { + dialog_gcd_k5_head11_split_pair_shift_apply_enabled() + && std::env::var("DIALOG_GCD_K5_HEAD11_PAIR01_S2_PERMUTE_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_head11_pair23_s2_borrow_pair01_apply_enabled() -> bool { + dialog_gcd_k5_head11_split_pair_shift_apply_enabled() + && std::env::var("DIALOG_GCD_K5_HEAD11_PAIR23_S2_BORROW_PAIR01_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_stream_pair_apply_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && dialog_gcd_apply_replay_swap_host_enabled() + && std::env::var("DIALOG_GCD_K5_STREAM_PAIR_APPLY") + .ok() + .as_deref() + == Some("1") +} + +fn emit_dialog_gcd_k5_head11_preconditioner(b: &mut B, data: &[QubitId; 13]) { + b.x(data[0]); + b.ccx(data[0], data[1], data[3]); + b.ccx(data[2], data[3], data[0]); + b.cx(data[0], data[3]); +} + +fn emit_dialog_gcd_k5_head11_preconditioner_inverse( + b: &mut B, + data: &[QubitId; 13], +) { + b.cx(data[0], data[3]); + b.ccx(data[2], data[3], data[0]); + b.ccx(data[0], data[1], data[3]); + b.x(data[0]); +} + +fn emit_dialog_gcd_k5_pair_encoder(b: &mut B, pair_raw: &[QubitId; 6]) { + let core = [pair_raw[0], pair_raw[1], pair_raw[4], pair_raw[2], pair_raw[3]]; + b.cx(core[1], core[2]); + b.cx(core[0], core[4]); + b.x(core[3]); + b.ccx(core[2], core[3], core[1]); + b.cx(core[3], core[4]); + b.ccx(core[3], core[4], core[0]); + b.cx(core[2], core[4]); + b.cx(core[0], core[3]); + b.cx(core[3], core[2]); + b.cx(core[3], core[4]); + b.ccx(core[1], core[3], core[0]); + b.cx(core[1], core[0]); + b.cx(core[3], core[0]); +} + +fn emit_dialog_gcd_k5_pair_encoder_inverse(b: &mut B, pair_raw: &[QubitId; 6]) { + let core = [pair_raw[0], pair_raw[1], pair_raw[4], pair_raw[2], pair_raw[3]]; + b.cx(core[3], core[0]); + b.cx(core[1], core[0]); + b.ccx(core[1], core[3], core[0]); + b.cx(core[3], core[4]); + b.cx(core[3], core[2]); + b.cx(core[0], core[3]); + b.cx(core[2], core[4]); + b.ccx(core[3], core[4], core[0]); + b.cx(core[3], core[4]); + b.ccx(core[2], core[3], core[1]); + b.x(core[3]); + b.cx(core[0], core[4]); + b.cx(core[1], core[2]); +} + +fn dialog_gcd_raw_s2(raw_block: &[QubitId], slot: usize) -> QubitId { + raw_block[2 * dialog_gcd_sidecar_group_size() + slot] +} + +fn dialog_gcd_block_raw_s2( + raw_block: &[QubitId], + block_steps: usize, + slot: usize, +) -> QubitId { + if dialog_gcd_k5_tail6_graph9_enabled() && block_steps == 6 { + assert!(slot < DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS); + raw_block[2 * DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS + slot] + } else if dialog_gcd_k5_tail6_graph_enabled() && block_steps == 6 { + assert!(slot < DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS); + raw_block[2 * DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS + slot] + } else if dialog_gcd_k5_tail7_enabled() && block_steps == 7 { + assert!(slot < DIALOG_GCD_K5_TAIL7_STORED_STEPS); + raw_block[2 * DIALOG_GCD_K5_TAIL7_STORED_STEPS + slot] + } else { + dialog_gcd_raw_s2(raw_block, slot) + } +} + +fn dialog_gcd_k5_pair01(raw_block: &[QubitId]) -> [QubitId; 6] { + [ + raw_block[0], + raw_block[1], + raw_block[2], + raw_block[3], + dialog_gcd_raw_s2(raw_block, 0), + dialog_gcd_raw_s2(raw_block, 1), + ] +} + +fn dialog_gcd_k5_pair23(raw_block: &[QubitId]) -> [QubitId; 6] { + [ + raw_block[4], + raw_block[5], + raw_block[6], + raw_block[7], + dialog_gcd_raw_s2(raw_block, 2), + dialog_gcd_raw_s2(raw_block, 3), + ] +} + +fn dialog_gcd_k5_data_from_raw(raw_block: &[QubitId]) -> [QubitId; 13] { + [ + raw_block[1], + dialog_gcd_raw_s2(raw_block, 0), + raw_block[2], + raw_block[3], + dialog_gcd_raw_s2(raw_block, 1), + raw_block[5], + dialog_gcd_raw_s2(raw_block, 2), + raw_block[6], + raw_block[7], + dialog_gcd_raw_s2(raw_block, 3), + raw_block[8], + raw_block[9], + dialog_gcd_raw_s2(raw_block, 4), + ] +} + +fn dialog_gcd_k5_partial_raw_clean_scratch( + raw_block: &[QubitId], + steps: usize, +) -> Vec { + if !dialog_gcd_k5_clean_block_enabled() + || dialog_gcd_k5_tail_pair1_enabled() + || steps >= dialog_gcd_sidecar_group_size() + { + return Vec::new(); + } + assert_eq!(raw_block.len(), 15); + assert!(steps <= DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE); + let branch_end = 2 * dialog_gcd_sidecar_group_size(); + let fixed_tail_branch = if dialog_gcd_k5_tail3_fixed_last_enabled() && steps == 3 { + &raw_block[2 * (steps - 1)..2 * steps] + } else { + &[][..] + }; + fixed_tail_branch + .iter() + .chain(raw_block[2 * steps..branch_end].iter()) + .chain(raw_block[branch_end + steps..].iter()) + .copied() + .collect() +} + +fn dialog_gcd_k5_partial_raw_release_bits() -> usize { + std::env::var("DIALOG_GCD_K5_PARTIAL_RAW_RELEASE") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0) +} + +fn dialog_gcd_k5_transfer_survivors( + b: &mut B, + compressed_block: &[QubitId], + data: &[QubitId; 13], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), 12); + for (i, &wire) in DIALOG_GCD_K5_DATA_WIRES.iter().enumerate() { + if swap_host { + b.swap(compressed_block[i], data[wire]); + } else { + b.cx(compressed_block[i], data[wire]); + } + } +} + +fn dialog_gcd_k5_head11_transfer_survivors( + b: &mut B, + compressed_block: &[QubitId], + data: &[QubitId; 13], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); + for (i, &wire) in DIALOG_GCD_K5_HEAD11_DATA_WIRES.iter().enumerate() { + if swap_host { + b.swap(compressed_block[i], data[wire]); + } else { + b.cx(compressed_block[i], data[wire]); + } + } +} + +fn dialog_gcd_k5_head11_compress_raw_to_block( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); + assert_eq!(raw_block.len(), 15); + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); + let data = dialog_gcd_k5_data_from_raw(raw_block); + emit_dialog_gcd_k5_head11_preconditioner(b, &data); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); + b.free(ancilla); + dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); +} + +fn dialog_gcd_k5_head11_decompress_block_to_raw( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); + assert_eq!(raw_block.len(), 15); + let data = dialog_gcd_k5_data_from_raw(raw_block); + dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); + b.free(ancilla); + emit_dialog_gcd_k5_head11_preconditioner_inverse(b, &data); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); +} + +fn dialog_gcd_k5_compress_data_to_block( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), 12); + assert_eq!(raw_block.len(), 15); + let data = dialog_gcd_k5_data_from_raw(raw_block); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); + b.free(ancilla); + dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); +} + +fn dialog_gcd_k5_decompress_block_to_data( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), 12); + assert_eq!(raw_block.len(), 15); + let data = dialog_gcd_k5_data_from_raw(raw_block); + dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); + b.free(ancilla); +} + +fn dialog_gcd_k5_stream_pairs_start(b: &mut B, raw_block: &[QubitId]) { + assert_eq!(raw_block.len(), 15); + // The pair encoders clear these drop lanes in the post-Fable data representation. + // Keep them out of the live set except while their pair is opened for apply. + b.free(raw_block[0]); + b.free(raw_block[4]); +} + +fn dialog_gcd_k5_stream_pairs_before_slot( + b: &mut B, + raw_block: &[QubitId], + slot: usize, +) { + match slot { + 3 => { + b.reacquire(raw_block[4]); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); + } + 1 => { + b.reacquire(raw_block[0]); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); + } + _ => {} + } +} + +fn dialog_gcd_k5_stream_pairs_after_slot_forward( + b: &mut B, + raw_block: &[QubitId], + slot: usize, +) { + match slot { + 2 => { + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); + b.free(raw_block[4]); + } + 0 => { + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); + b.free(raw_block[0]); + } + _ => {} + } +} + +fn dialog_gcd_k5_stream_pairs_before_slot_reverse( + b: &mut B, + raw_block: &[QubitId], + slot: usize, +) { + match slot { + 0 => { + b.reacquire(raw_block[0]); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); + } + 2 => { + b.reacquire(raw_block[4]); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); + } + _ => {} + } +} + +fn dialog_gcd_k5_stream_pairs_after_slot_reverse( + b: &mut B, + raw_block: &[QubitId], + slot: usize, +) { + match slot { + 1 => { + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); + b.free(raw_block[0]); + } + 3 => { + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); + b.free(raw_block[4]); + } + _ => {} + } +} + +fn dialog_gcd_k5_stream_pairs_finish(b: &mut B, raw_block: &[QubitId]) { + b.reacquire(raw_block[0]); + b.reacquire(raw_block[4]); +} + +fn dialog_gcd_k5_head11_pair_for_slot(slot: usize) -> usize { + assert!(slot < 4); + slot / 2 +} + +fn dialog_gcd_k5_head11_open_pair_for_slot(b: &mut B, raw_block: &[QubitId], slot: usize) { + match dialog_gcd_k5_head11_pair_for_slot(slot) { + 0 => { + b.reacquire(raw_block[0]); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); + } + 1 => { + b.reacquire(raw_block[4]); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); + } + _ => unreachable!(), + } +} + +fn dialog_gcd_k5_head11_close_pair_for_slot(b: &mut B, raw_block: &[QubitId], slot: usize) { + match dialog_gcd_k5_head11_pair_for_slot(slot) { + 0 => { + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); + b.free(raw_block[0]); + } + 1 => { + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); + b.free(raw_block[4]); + } + _ => unreachable!(), + } +} + +fn dialog_gcd_k5_head11_pair01_expose_s2(b: &mut B, raw_block: &[QubitId]) { + let w = [ + raw_block[1], + raw_block[10], + raw_block[2], + raw_block[3], + raw_block[11], + ]; + b.cx(w[0], w[2]); + b.cx(w[1], w[0]); + b.ccx(w[0], w[2], w[1]); +} + +fn dialog_gcd_k5_head11_pair01_unexpose_s2(b: &mut B, raw_block: &[QubitId]) { + let w = [ + raw_block[1], + raw_block[10], + raw_block[2], + raw_block[3], + raw_block[11], + ]; + b.ccx(w[0], w[2], w[1]); + b.cx(w[1], w[0]); + b.cx(w[0], w[2]); +} + +fn dialog_gcd_k5_head11_pair01_zero_lane(b: &mut B, raw_block: &[QubitId]) { + let w = [ + raw_block[1], + raw_block[10], + raw_block[2], + raw_block[3], + raw_block[11], + ]; + b.x(w[0]); + b.x(w[2]); + b.ccx(w[0], w[1], w[3]); + b.ccx(w[2], w[3], w[0]); +} + +fn dialog_gcd_k5_head11_pair01_unzero_lane(b: &mut B, raw_block: &[QubitId]) { + let w = [ + raw_block[1], + raw_block[10], + raw_block[2], + raw_block[3], + raw_block[11], + ]; + b.ccx(w[2], w[3], w[0]); + b.ccx(w[0], w[1], w[3]); + b.x(w[2]); + b.x(w[0]); +} + +const DIALOG_GCD_K5_HEAD11_PAIR23_S2_ANF: &[u16] = &[1, 2, 3, 4, 7, 9, 11, 13, 15]; + +fn dialog_gcd_k5_head11_toggle_pair23_s2_into( + b: &mut B, + raw_block: &[QubitId], + target: QubitId, +) { + let code = [ + raw_block[5], + raw_block[12], + raw_block[6], + raw_block[7], + raw_block[13], + ]; + dialog_gcd_toggle_anf_with_dirty( + b, + &code, + target, + raw_block, + DIALOG_GCD_K5_HEAD11_PAIR23_S2_ANF, + ); +} + +fn dialog_gcd_k5_head11_compress_data_to_block( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!( + compressed_block.len(), + DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() + ); + assert_eq!(raw_block.len(), 15); + let data = dialog_gcd_k5_data_from_raw(raw_block); + emit_dialog_gcd_k5_head11_preconditioner(b, &data); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); + b.free(ancilla); + dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); +} + +fn dialog_gcd_k5_head11_decompress_block_to_data( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!( + compressed_block.len(), + DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() + ); + assert_eq!(raw_block.len(), 15); + let data = dialog_gcd_k5_data_from_raw(raw_block); + dialog_gcd_k5_head11_transfer_survivors(b, compressed_block, &data, swap_host); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); + b.free(ancilla); + emit_dialog_gcd_k5_head11_preconditioner_inverse(b, &data); +} + +fn dialog_gcd_k5_head11_pair_encode_word(bits: &mut [bool; 15], slots: [usize; 2]) { + let wire = [ + 3 * slots[0], + 3 * slots[0] + 1, + 3 * slots[0] + 2, + 3 * slots[1], + 3 * slots[1] + 1, + ]; + bits[wire[2]] ^= bits[wire[1]]; + bits[wire[4]] ^= bits[wire[0]]; + bits[wire[3]] ^= true; + bits[wire[1]] ^= bits[wire[2]] && bits[wire[3]]; + bits[wire[4]] ^= bits[wire[3]]; + bits[wire[0]] ^= bits[wire[3]] && bits[wire[4]]; + bits[wire[4]] ^= bits[wire[2]]; + bits[wire[3]] ^= bits[wire[0]]; + bits[wire[2]] ^= bits[wire[3]]; + bits[wire[4]] ^= bits[wire[3]]; + bits[wire[0]] ^= bits[wire[1]] && bits[wire[3]]; + bits[wire[0]] ^= bits[wire[1]]; + bits[wire[0]] ^= bits[wire[3]]; +} + +fn dialog_gcd_k5_head11_code_word(pattern: u16) -> Option { + let mut raw = std::array::from_fn::<_, 15, _>(|bit| (pattern >> bit) & 1 != 0); + dialog_gcd_k5_head11_pair_encode_word(&mut raw, [0, 1]); + dialog_gcd_k5_head11_pair_encode_word(&mut raw, [2, 3]); + if raw[0] || raw[6] { + return None; + } + + const RAW_DATA_INDICES: [usize; 13] = + [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14]; + let mut wires = [false; 14]; + for (index, raw_index) in RAW_DATA_INDICES.into_iter().enumerate() { + wires[index] = raw[raw_index]; + } + wires[0] ^= true; + wires[3] ^= wires[0] && wires[1]; + wires[0] ^= wires[2] && wires[3]; + wires[3] ^= wires[0]; + for &gate in DIALOG_GCD_K5_FABLE_GATES { + match gate { + DialogGcdK5FableGate::X(a) => wires[a] ^= true, + DialogGcdK5FableGate::Cx(a, c) => wires[c] ^= wires[a], + DialogGcdK5FableGate::Ccx(a, c, t) => wires[t] ^= wires[a] && wires[c], + } + } + if wires[3] || wires[10] || wires[13] { + return None; + } + Some( + DIALOG_GCD_K5_HEAD11_DATA_WIRES + .iter() + .enumerate() + .fold(0u16, |code, (index, &wire)| { + code | (u16::from(wires[wire]) << index) + }), + ) +} + +pub(crate) fn dialog_gcd_k5_head11_supports(pattern: u16) -> bool { + dialog_gcd_k5_head11_code_word(pattern).is_some() +} + +pub(crate) fn dialog_gcd_k5_head11_codec_selftest() -> Result<(), String> { + use sha3::digest::{ExtendableOutput, Update}; + + let supported = (0u16..1 << 15) + .filter(|&pattern| dialog_gcd_k5_head11_supports(pattern)) + .collect::>(); + if supported.len() != 1 << DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() { + return Err(format!( + "expected 2048 supported head words, got {}", + supported.len() + )); + } + let mut seen_codes = vec![false; 1 << DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()]; + for &pattern in &supported { + let code = dialog_gcd_k5_head11_code_word(pattern).expect("filtered support"); + if std::mem::replace(&mut seen_codes[code as usize], true) { + return Err(format!("duplicate head code 0x{code:03x}")); + } + } + + let build_codec = |decompress: bool| { + let mut b = B::new(); + let code = b.alloc_qubits(DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()); + let raw = b.alloc_qubits(15); + if decompress { + dialog_gcd_k5_head11_decompress_block_to_raw(&mut b, &code, &raw, true); + } else { + dialog_gcd_k5_head11_compress_raw_to_block(&mut b, &code, &raw, true); + } + (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) + }; + let forward_codec = build_codec(false); + let reverse_codec = build_codec(true); + + for batch_start in (0..supported.len()).step_by(64) { + let patterns = &supported[batch_start..batch_start + 64]; + let mut raw_masks = [0u64; 15]; + let mut code_masks = [0u64; DIALOG_GCD_K5_HEAD11_DATA_WIRES.len()]; + for (shot, &pattern) in patterns.iter().enumerate() { + let shot_bit = 1u64 << shot; + for slot in 0..5 { + if (pattern >> (3 * slot)) & 1 != 0 { + raw_masks[2 * slot] |= shot_bit; + } + if (pattern >> (3 * slot + 1)) & 1 != 0 { + raw_masks[2 * slot + 1] |= shot_bit; + } + if (pattern >> (3 * slot + 2)) & 1 != 0 { + raw_masks[10 + slot] |= shot_bit; + } + } + let code = dialog_gcd_k5_head11_code_word(pattern).expect("supported pattern"); + for (index, mask) in code_masks.iter_mut().enumerate() { + if (code >> index) & 1 != 0 { + *mask |= shot_bit; + } + } + } + + let run = |decompress: bool| { + let (ops, code, raw, num_qubits, num_bits) = + if decompress { &reverse_codec } else { &forward_codec }; + let mut seed = sha3::Shake128::default(); + seed.update(b"dialog-gcd-k5-head11-codec-selftest"); + seed.update(&(batch_start as u64).to_le_bytes()); + seed.update(&[u8::from(decompress)]); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new(*num_qubits, *num_bits, &mut xof); + sim.clear_for_shot(); + let source = if decompress { + &code_masks[..] + } else { + &raw_masks[..] + }; + let targets = if decompress { &code[..] } else { &raw[..] }; + for (&qubit, &mask) in targets.iter().zip(source.iter()) { + *sim.qubit_mut(qubit) = mask; + } + sim.apply_iter(ops.iter()); + ( + code.iter().map(|&q| sim.qubit(q)).collect::>(), + raw.iter().map(|&q| sim.qubit(q)).collect::>(), + sim.phase, + ) + }; + + let (forward_code, forward_raw, forward_phase) = run(false); + if forward_phase != 0 { + return Err(format!( + "forward phase garbage in batch {batch_start}: 0x{forward_phase:x}" + )); + } + if forward_code != code_masks { + return Err(format!( + "forward code mismatch in batch {batch_start}: got {forward_code:x?}, want {code_masks:x?}" + )); + } + if forward_raw.iter().any(|&mask| mask != 0) { + return Err(format!( + "forward raw garbage in batch {batch_start}: {forward_raw:x?}" + )); + } + + let (reverse_code, reverse_raw, reverse_phase) = run(true); + if reverse_phase != 0 { + return Err(format!( + "reverse phase garbage in batch {batch_start}: 0x{reverse_phase:x}" + )); + } + if reverse_code.iter().any(|&mask| mask != 0) { + return Err(format!( + "reverse code garbage in batch {batch_start}: {reverse_code:x?}" + )); + } + if reverse_raw != raw_masks { + return Err(format!( + "reverse raw mismatch in batch {batch_start}: got {reverse_raw:x?}, want {raw_masks:x?}" + )); + } + } + Ok(()) +} + +fn dialog_gcd_k5_compress_raw_to_block( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), 12); + assert_eq!(raw_block.len(), 15); + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair23(raw_block)); + let data = dialog_gcd_k5_data_from_raw(raw_block); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor(b, &data, ancilla); + b.free(ancilla); + dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); +} + +fn dialog_gcd_k5_decompress_block_to_raw( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), 12); + assert_eq!(raw_block.len(), 15); + let data = dialog_gcd_k5_data_from_raw(raw_block); + dialog_gcd_k5_transfer_survivors(b, compressed_block, &data, swap_host); + let ancilla = b.alloc_qubit(); + emit_dialog_gcd_k5_clean_compressor_inverse(b, &data, ancilla); + b.free(ancilla); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair23(raw_block)); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); +} + +fn dialog_gcd_k5_compress_partial_raw_to_block( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + steps: usize, + swap_host: bool, +) { + assert!(steps <= DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE); + assert_eq!(raw_block.len(), 15); + let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; + assert!( + compressed_block.len() == dialog_gcd_block_bits() + || compressed_block.len() == base_bits + steps + ); + let raw_base = 2 * DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE; + emit_dialog_gcd_round763_compressor(b, &raw_block[0..raw_base]); + for i in 0..base_bits { + if swap_host { b.swap(compressed_block[i], raw_block[i]); } else { b.cx(compressed_block[i], raw_block[i]); } + } + for slot in 0..steps { + let s2 = dialog_gcd_raw_s2(raw_block, slot); + if swap_host { b.swap(compressed_block[base_bits + slot], s2); } else { b.cx(compressed_block[base_bits + slot], s2); } + } +} + +fn dialog_gcd_k5_decompress_partial_block_to_raw( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + steps: usize, + swap_host: bool, +) { + assert!(steps <= DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE); + assert_eq!(raw_block.len(), 15); + let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; + assert!( + compressed_block.len() == dialog_gcd_block_bits() + || compressed_block.len() == base_bits + steps + ); + let raw_base = 2 * DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE; + for i in 0..base_bits { + if swap_host { b.swap(compressed_block[i], raw_block[i]); } else { b.cx(compressed_block[i], raw_block[i]); } + } + emit_dialog_gcd_round763_compressor_inverse(b, &raw_block[0..raw_base]); + for slot in 0..steps { + let s2 = dialog_gcd_raw_s2(raw_block, slot); + if swap_host { b.swap(compressed_block[base_bits + slot], s2); } else { b.cx(compressed_block[base_bits + slot], s2); } + } +} + +fn dialog_gcd_k5_tail_pair1_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && !dialog_gcd_k5_tail7_enabled() + && !dialog_gcd_k5_tail6_graph_enabled() + && !dialog_gcd_k5_tail6_graph9_enabled() + && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 2 + && std::env::var("DIALOG_GCD_K5_TAIL_PAIR1") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tail6_graph9_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && dialog_gcd_active_iterations() >= 6 + && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 1 + && std::env::var("DIALOG_GCD_K5_TAIL6_GRAPH9_CODEC") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_release_decoded_block_bits() -> usize { + if !dialog_gcd_k5_clean_block_enabled() || !dialog_gcd_apply_replay_swap_host_enabled() { + return 0; + } + std::env::var("DIALOG_GCD_K5_RELEASE_DECODED_BLOCK_BITS") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0) +} + +fn dialog_gcd_k5_release_decoded_tail_bits() -> usize { + std::env::var("DIALOG_GCD_K5_RELEASE_DECODED_TAIL_BITS") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or_else(dialog_gcd_k5_release_decoded_block_bits) +} + +fn dialog_gcd_k5_release_scale_bits() -> usize { + std::env::var("DIALOG_GCD_K5_RELEASE_SCALE_BITS") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0) +} + +fn dialog_gcd_k5_tail6_graph_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && dialog_gcd_active_iterations() >= 6 + && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 1 + && std::env::var("DIALOG_GCD_K5_TAIL6_GRAPH_CODEC") + .ok() + .as_deref() + == Some("1") +} + +fn dialog_gcd_k5_tail7_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && dialog_gcd_active_iterations() >= 7 + && dialog_gcd_active_iterations() % dialog_gcd_sidecar_group_size() == 2 + && std::env::var("DIALOG_GCD_K5_TAIL7_CODEC") + .ok() + .as_deref() + == Some("1") +} + +const DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS: usize = 3; +const DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS: usize = 6; +const DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_MASKS: [u16; DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS] = + [0x0d4, 0x0d1, 0x040, 0x05f, 0x00d, 0x081]; +const DIALOG_GCD_K5_TAIL6_GRAPH_CODE_CONSTANT: u8 = 0x26; +const DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CONSTANT: u16 = 0x1dc; +const DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_DECODE_MASKS: [u8; 9] = + [0x00, 0x3a, 0x03, 0x13, 0x26, 0x00, 0x04, 0x20, 0x00]; +const DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_RAW_MASK: u16 = 0x085; +const DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_ANF: &[u16] = &[0x00, 0x02, 0x04, 0x05, 0x32]; +pub(crate) const DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT: [u32; 32] = [ + 0x24924, 0x24925, 0x24928, 0x24929, 0x2492b, 0x2492c, 0x2492d, 0x2492f, + 0x24944, 0x24945, 0x24947, 0x24948, 0x24949, 0x2494b, 0x2494d, 0x2494f, + 0x24958, 0x24959, 0x2495b, 0x2495c, 0x2495d, 0x2495f, 0x24965, 0x24967, + 0x24968, 0x24969, 0x2496b, 0x24978, 0x24979, 0x2497b, 0x2497d, 0x2497f, +]; + +const DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS: usize = 4; +const DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS: usize = 9; +const DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_MASKS: [u16; DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS] = + [0x9dc, 0xb6a, 0x717, 0x404, 0xe92, 0x00c, 0xa17, 0x7af, 0xf44]; +const DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CONSTANT: u16 = 0xc6c; +const DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_DECODE_MASKS: [u16; 12] = [ + 0x058, 0x000, 0x131, 0x111, 0x18e, 0x01b, 0x0d2, 0x000, 0x17d, 0x0a7, + 0x139, 0x000, +]; +const DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK: u16 = 0x71e; +const DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT: usize = 1; +const DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_ANF: &[u16] = &[ + 0x000, 0x002, 0x003, 0x006, 0x008, 0x00a, 0x011, 0x012, 0x020, 0x021, + 0x024, 0x040, 0x041, 0x042, 0x048, 0x060, 0x080, 0x081, 0x088, 0x0a0, + 0x100, 0x02c, 0x034, 0x064, 0x0a2, 0x0a4, +]; +pub(crate) const DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT: [u32; 75] = [ + 0x24924, 0x24925, 0x24928, 0x24929, 0x2492b, 0x2492c, 0x2492d, 0x2492f, + 0x24944, 0x24945, 0x24947, 0x24948, 0x24949, 0x2494b, 0x2494d, 0x2494f, + 0x24958, 0x24959, 0x2495b, 0x2495c, 0x2495d, 0x2495f, 0x24965, 0x24967, + 0x24968, 0x24969, 0x2496b, 0x24978, 0x24979, 0x2497b, 0x2497d, 0x2497f, + 0x24a27, 0x24a29, 0x24a2b, 0x24a2d, 0x24a2f, 0x24a38, 0x24a3f, 0x24a45, + 0x24a47, 0x24a49, 0x24a4b, 0x24a4d, 0x24a58, 0x24a59, 0x24a5b, 0x24a5f, + 0x24a65, 0x24a68, 0x24a6b, 0x24a78, 0x24a7c, 0x24ac5, 0x24ac8, 0x24ac9, + 0x24acb, 0x24acd, 0x24add, 0x24ae9, 0x24af8, 0x24af9, 0x24b29, 0x24b3c, + 0x24b3d, 0x24b45, 0x24b49, 0x24b4b, 0x24b5f, 0x24b79, 0x24bc5, 0x24bc9, + 0x24bd8, 0x24be4, 0x24bf9, +]; + +const DIALOG_GCD_K5_TAIL7_STORED_STEPS: usize = 4; +const DIALOG_GCD_K5_TAIL7_CODE_BITS: usize = 5; +const DIALOG_GCD_K5_TAIL7_PACKED_CODE_MASKS: [u32; DIALOG_GCD_K5_TAIL7_CODE_BITS] = + [0x8a0, 0x204, 0x80011, 0x38, 0x100402]; +const DIALOG_GCD_K5_TAIL7_RAW_CODE_MASKS: [u16; DIALOG_GCD_K5_TAIL7_CODE_BITS] = + [0x0a20, 0x0140, 0x0009, 0x020c, 0x0082]; +const DIALOG_GCD_K5_TAIL7_CODE_CONSTANT: u8 = 1 << 4; +pub(crate) const DIALOG_GCD_K5_TAIL7_SUPPORT: [u32; 20] = [ + 0x124924, 0x124925, 0x124929, 0x12492b, 0x124928, 0x12492d, 0x12492f, + 0x12494b, 0x124947, 0x124945, 0x12492c, 0x124958, 0x124949, 0x12495b, + 0x124959, 0x124967, 0x12495d, 0x124a4b, 0x12497f, 0x124979, +]; +const DIALOG_GCD_K5_TAIL7_RAW_ANF: [&[u16]; 12] = [ + &[1, 4, 7, 10, 12, 24, 28], + &[0, 16], + &[0, 7, 8, 10, 12, 24, 28], + &[1, 7, 10, 12, 24, 28], + &[1, 8, 9, 26], + &[], + &[11], + &[], + &[2, 11], + &[0, 1], + &[0, 11], + &[0], +]; + +fn dialog_gcd_toggle_mcx_with_dirty( + b: &mut B, + controls: &[QubitId], + dirty: &[QubitId], + target: QubitId, +) { + assert!(!controls.contains(&target)); + assert!(controls + .iter() + .enumerate() + .all(|(index, q)| !controls[..index].contains(q))); + match controls.len() { + 0 => b.x(target), + 1 => b.cx(controls[0], target), + 2 => b.ccx(controls[0], controls[1], target), + count => { + assert!(dirty.len() >= count - 2); + let bridge = dirty[0]; + assert_ne!(bridge, target); + assert!(!controls.contains(&bridge)); + dialog_gcd_toggle_mcx_with_dirty( + b, + &controls[..count - 1], + &dirty[1..], + bridge, + ); + b.ccx(bridge, controls[count - 1], target); + dialog_gcd_toggle_mcx_with_dirty( + b, + &controls[..count - 1], + &dirty[1..], + bridge, + ); + b.ccx(bridge, controls[count - 1], target); + } + } +} + +fn dialog_gcd_toggle_anf_with_dirty( + b: &mut B, + code: &[QubitId], + target: QubitId, + dirty_pool: &[QubitId], + terms: &[u16], +) { + assert!(code.len() <= u16::BITS as usize); + assert!(!code.contains(&target)); + for &mask in terms { + let controls = code + .iter() + .enumerate() + .filter_map(|(index, &q)| ((mask >> index) & 1 != 0).then_some(q)) + .collect::>(); + let dirty = dirty_pool + .iter() + .copied() + .filter(|q| *q != target && !controls.contains(q)) + .collect::>(); + dialog_gcd_toggle_mcx_with_dirty(b, &controls, &dirty, target); + } +} + +fn dialog_gcd_k5_tail6_graph9_toggle_code_from_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS); + assert_eq!(raw_block.len(), 15); + for (code_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_MASKS + .iter() + .enumerate() + { + for raw_bit in 0..12 { + if (mask >> raw_bit) & 1 != 0 { + b.cx(raw_block[raw_bit], code[code_index]); + } + } + } +} + +fn dialog_gcd_k5_tail6_graph9_toggle_linear_raw_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS); + assert_eq!(raw_block.len(), 15); + for (raw_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_DECODE_MASKS + .iter() + .enumerate() + { + if (DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CONSTANT >> raw_index) & 1 != 0 { + b.x(raw_block[raw_index]); + } + for code_bit in 0..DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS { + if (mask >> code_bit) & 1 != 0 { + b.cx(code[code_bit], raw_block[raw_index]); + } + } + } +} + +fn dialog_gcd_k5_tail6_graph9_toggle_selector_fanout( + b: &mut B, + raw_block: &[QubitId], +) { + assert_eq!(raw_block.len(), 15); + assert_ne!( + (DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK + >> DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT) + & 1, + 0 + ); + let pivot = raw_block[DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT]; + for raw_index in 0..12 { + if raw_index != DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT + && (DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK >> raw_index) & 1 != 0 + { + b.cx(pivot, raw_block[raw_index]); + } + } +} + +fn dialog_gcd_k5_tail6_graph9_toggle_selector( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_toggle_anf_with_dirty( + b, + code, + raw_block[DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_PIVOT], + raw_block, + DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_ANF, + ); +} + +fn dialog_gcd_k5_tail6_graph9_compress_raw_to_block( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_k5_tail6_graph9_toggle_code_from_raw(b, code, raw_block); + dialog_gcd_k5_tail6_graph9_toggle_linear_raw_from_code(b, code, raw_block); + dialog_gcd_k5_tail6_graph9_toggle_selector_fanout(b, raw_block); + dialog_gcd_k5_tail6_graph9_toggle_selector(b, code, raw_block); +} + +fn dialog_gcd_k5_tail6_graph9_decompress_block_to_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_k5_tail6_graph9_toggle_selector(b, code, raw_block); + dialog_gcd_k5_tail6_graph9_toggle_selector_fanout(b, raw_block); + dialog_gcd_k5_tail6_graph9_toggle_linear_raw_from_code(b, code, raw_block); + dialog_gcd_k5_tail6_graph9_toggle_code_from_raw(b, code, raw_block); +} + +fn dialog_gcd_k5_tail6_graph9_raw_word(pattern: u32) -> u16 { + let mut raw_word = 0u16; + for slot in 0..DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS { + let digit = ((pattern >> (3 * slot)) & 7) as u16; + raw_word |= (digit & 1) << (2 * slot); + raw_word |= ((digit >> 1) & 1) << (2 * slot + 1); + raw_word |= ((digit >> 2) & 1) + << (2 * DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS + slot); + } + raw_word +} + +fn dialog_gcd_k5_tail6_graph9_code_word(raw_word: u16) -> u16 { + DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_MASKS + .iter() + .enumerate() + .fold(0u16, |code, (index, &mask)| { + code ^ ((((raw_word & mask).count_ones() & 1) as u16) << index) + }) +} + +fn dialog_gcd_k5_tail6_graph9_selector_word(code: u16) -> u16 { + DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_ANF + .iter() + .fold(0u16, |selector, &term| { + selector ^ u16::from(code & term == term) + }) +} + +fn dialog_gcd_k5_tail6_graph9_decode_word(code: u16) -> u16 { + let selector = dialog_gcd_k5_tail6_graph9_selector_word(code); + DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CODE_DECODE_MASKS + .iter() + .enumerate() + .fold(DIALOG_GCD_K5_TAIL6_GRAPH9_RAW_CONSTANT, |raw, (index, &mask)| { + let bit = ((code & mask).count_ones() & 1) as u16 + ^ (selector + & ((DIALOG_GCD_K5_TAIL6_GRAPH9_SELECTOR_RAW_MASK >> index) & 1)); + raw ^ (bit << index) + }) +} + +pub(crate) fn dialog_gcd_k5_tail6_graph9_supports(pattern: u32) -> bool { + if pattern >> 12 != 0x24 { + return false; + } + let raw = dialog_gcd_k5_tail6_graph9_raw_word(pattern); + let code = dialog_gcd_k5_tail6_graph9_code_word(raw); + dialog_gcd_k5_tail6_graph9_decode_word(code) == raw +} + +pub(crate) fn dialog_gcd_k5_tail6_graph9_codec_selftest() -> Result<(), String> { + use sha3::digest::{ExtendableOutput, Update}; + + for batch_start in (0..DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT.len()).step_by(64) { + let patterns = &DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT + [batch_start..(batch_start + 64).min(DIALOG_GCD_K5_TAIL6_GRAPH9_SUPPORT.len())]; + let mut raw_masks = [0u64; 15]; + let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS]; + for (shot, &pattern) in patterns.iter().enumerate() { + if !dialog_gcd_k5_tail6_graph9_supports(pattern) { + return Err(format!("support pattern 0x{pattern:x} fails graph relation")); + } + let shot_bit = 1u64 << shot; + let raw_word = dialog_gcd_k5_tail6_graph9_raw_word(pattern); + for raw_bit in 0..12 { + if (raw_word >> raw_bit) & 1 != 0 { + raw_masks[raw_bit] |= shot_bit; + } + } + let code = dialog_gcd_k5_tail6_graph9_code_word(raw_word); + for (index, mask) in code_masks.iter_mut().enumerate() { + if (code >> index) & 1 != 0 { + *mask |= shot_bit; + } + } + } + + let build_codec = |decompress: bool| { + let mut b = B::new(); + let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS); + let raw = b.alloc_qubits(15); + if decompress { + dialog_gcd_k5_tail6_graph9_decompress_block_to_raw(&mut b, &code, &raw); + } else { + dialog_gcd_k5_tail6_graph9_compress_raw_to_block(&mut b, &code, &raw); + } + (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) + }; + + let run = |decompress: bool| { + let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); + let mut seed = sha3::Shake128::default(); + seed.update(b"dialog-gcd-k5-tail6-graph9-codec-selftest"); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); + sim.clear_for_shot(); + let source = if decompress { &code_masks[..] } else { &raw_masks[..] }; + let targets = if decompress { &code[..] } else { &raw[..] }; + for (&qubit, &mask) in targets.iter().zip(source.iter()) { + *sim.qubit_mut(qubit) = mask; + } + sim.apply_iter(ops.iter()); + ( + code.iter().map(|&q| sim.qubit(q)).collect::>(), + raw.iter().map(|&q| sim.qubit(q)).collect::>(), + sim.phase, + ) + }; + + let active_mask = if patterns.len() == 64 { + u64::MAX + } else { + (1u64 << patterns.len()) - 1 + }; + let (forward_code, forward_raw, forward_phase) = run(false); + if forward_phase & active_mask != 0 { + return Err(format!( + "forward phase garbage in batch {batch_start}: 0x{:x}", + forward_phase & active_mask + )); + } + if forward_code + .iter() + .zip(code_masks.iter()) + .any(|(&got, &want)| (got ^ want) & active_mask != 0) + { + return Err(format!( + "forward code mismatch in batch {batch_start}: got {forward_code:x?}, want {code_masks:x?}" + )); + } + if forward_raw + .iter() + .any(|&mask| mask & active_mask != 0) + { + return Err(format!( + "forward raw garbage in batch {batch_start}: {forward_raw:x?}" + )); + } + + let (reverse_code, reverse_raw, reverse_phase) = run(true); + if reverse_phase & active_mask != 0 { + return Err(format!( + "reverse phase garbage in batch {batch_start}: 0x{:x}", + reverse_phase & active_mask + )); + } + if reverse_code + .iter() + .any(|&mask| mask & active_mask != 0) + { + return Err(format!( + "reverse code garbage in batch {batch_start}: {reverse_code:x?}" + )); + } + if reverse_raw + .iter() + .zip(raw_masks.iter()) + .any(|(&got, &want)| (got ^ want) & active_mask != 0) + { + return Err(format!( + "reverse raw mismatch in batch {batch_start}: got {reverse_raw:x?}, want {raw_masks:x?}" + )); + } + } + Ok(()) +} + +fn dialog_gcd_k5_tail6_graph_toggle_code_from_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS); + assert_eq!(raw_block.len(), 15); + for (code_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_MASKS + .iter() + .enumerate() + { + for raw_bit in 0..9 { + if (mask >> raw_bit) & 1 != 0 { + b.cx(raw_block[raw_bit], code[code_index]); + } + } + if (DIALOG_GCD_K5_TAIL6_GRAPH_CODE_CONSTANT >> code_index) & 1 != 0 { + b.x(code[code_index]); + } + } +} + +fn dialog_gcd_k5_tail6_graph_toggle_linear_raw_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS); + assert_eq!(raw_block.len(), 15); + for (raw_index, &mask) in DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_DECODE_MASKS + .iter() + .enumerate() + { + if (DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CONSTANT >> raw_index) & 1 != 0 { + b.x(raw_block[raw_index]); + } + for code_bit in 0..DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS { + if (mask >> code_bit) & 1 != 0 { + b.cx(code[code_bit], raw_block[raw_index]); + } + } + } +} + +fn dialog_gcd_k5_tail6_graph_toggle_selector_fanout( + b: &mut B, + raw_block: &[QubitId], +) { + assert_eq!(raw_block.len(), 15); + let pivot = raw_block[0]; + assert_eq!(DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_RAW_MASK & 1, 1); + for raw_index in 1..9 { + if (DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_RAW_MASK >> raw_index) & 1 != 0 { + b.cx(pivot, raw_block[raw_index]); + } + } +} + +fn dialog_gcd_k5_tail6_graph_toggle_selector( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_toggle_anf_with_dirty( + b, + code, + raw_block[0], + raw_block, + DIALOG_GCD_K5_TAIL6_GRAPH_SELECTOR_ANF, + ); +} + +fn dialog_gcd_k5_tail6_graph_compress_raw_to_block( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_k5_tail6_graph_toggle_code_from_raw(b, code, raw_block); + dialog_gcd_k5_tail6_graph_toggle_linear_raw_from_code(b, code, raw_block); + dialog_gcd_k5_tail6_graph_toggle_selector_fanout(b, raw_block); + dialog_gcd_k5_tail6_graph_toggle_selector(b, code, raw_block); +} + +fn dialog_gcd_k5_tail6_graph_decompress_block_to_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_k5_tail6_graph_toggle_selector(b, code, raw_block); + dialog_gcd_k5_tail6_graph_toggle_selector_fanout(b, raw_block); + dialog_gcd_k5_tail6_graph_toggle_linear_raw_from_code(b, code, raw_block); + dialog_gcd_k5_tail6_graph_toggle_code_from_raw(b, code, raw_block); +} + +pub(crate) fn dialog_gcd_k5_tail6_graph_codec_selftest() -> Result<(), String> { + use sha3::digest::{ExtendableOutput, Update}; + + let mut raw_masks = [0u64; 15]; + let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS]; + for shot in 0..64 { + let pattern = + DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT[shot % DIALOG_GCD_K5_TAIL6_GRAPH_SUPPORT.len()]; + let shot_bit = 1u64 << shot; + let mut raw_word = 0u16; + for slot in 0..DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS { + if (pattern >> (3 * slot)) & 1 != 0 { + raw_masks[2 * slot] |= shot_bit; + raw_word |= 1 << (2 * slot); + } + if (pattern >> (3 * slot + 1)) & 1 != 0 { + raw_masks[2 * slot + 1] |= shot_bit; + raw_word |= 1 << (2 * slot + 1); + } + if (pattern >> (3 * slot + 2)) & 1 != 0 { + let raw_index = 2 * DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS + slot; + raw_masks[raw_index] |= shot_bit; + raw_word |= 1 << raw_index; + } + } + let code = DIALOG_GCD_K5_TAIL6_GRAPH_RAW_CODE_MASKS + .iter() + .enumerate() + .fold(DIALOG_GCD_K5_TAIL6_GRAPH_CODE_CONSTANT, |packed, (index, &mask)| { + packed ^ ((((raw_word & mask).count_ones() & 1) as u8) << index) + }); + for (index, mask) in code_masks.iter_mut().enumerate() { + if (code >> index) & 1 != 0 { + *mask |= shot_bit; + } + } + } + + let build_codec = |decompress: bool| { + let mut b = B::new(); + let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS); + let raw = b.alloc_qubits(15); + if decompress { + dialog_gcd_k5_tail6_graph_decompress_block_to_raw(&mut b, &code, &raw); + } else { + dialog_gcd_k5_tail6_graph_compress_raw_to_block(&mut b, &code, &raw); + } + (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) + }; + + let run = |decompress: bool| { + let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); + let mut seed = sha3::Shake128::default(); + seed.update(b"dialog-gcd-k5-tail6-graph-codec-selftest"); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); + sim.clear_for_shot(); + let source = if decompress { &code_masks[..] } else { &raw_masks[..] }; + let targets = if decompress { &code[..] } else { &raw[..] }; + for (&qubit, &mask) in targets.iter().zip(source.iter()) { + *sim.qubit_mut(qubit) = mask; + } + sim.apply_iter(ops.iter()); + ( + code.iter().map(|&q| sim.qubit(q)).collect::>(), + raw.iter().map(|&q| sim.qubit(q)).collect::>(), + sim.phase, + ) + }; + + let (forward_code, forward_raw, forward_phase) = run(false); + if forward_phase != 0 { + return Err(format!("forward phase garbage 0x{forward_phase:x}")); + } + if forward_code != code_masks { + return Err(format!( + "forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" + )); + } + if forward_raw.iter().any(|&mask| mask != 0) { + return Err(format!("forward raw garbage: {forward_raw:x?}")); + } + + let (reverse_code, reverse_raw, reverse_phase) = run(true); + if reverse_phase != 0 { + return Err(format!("reverse phase garbage 0x{reverse_phase:x}")); + } + if reverse_code.iter().any(|&mask| mask != 0) { + return Err(format!("reverse code garbage: {reverse_code:x?}")); + } + if reverse_raw != raw_masks { + return Err(format!( + "reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" + )); + } + Ok(()) +} + +fn dialog_gcd_k5_tail7_toggle_code_from_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL7_CODE_BITS); + assert_eq!(raw_block.len(), 15); + for (code_index, &mask) in DIALOG_GCD_K5_TAIL7_RAW_CODE_MASKS.iter().enumerate() { + for raw_bit in 0..12 { + if (mask >> raw_bit) & 1 != 0 { + b.cx(raw_block[raw_bit], code[code_index]); + } + } + if (DIALOG_GCD_K5_TAIL7_CODE_CONSTANT >> code_index) & 1 != 0 { + b.x(code[code_index]); + } + } +} + +fn dialog_gcd_k5_tail7_toggle_raw_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL7_CODE_BITS); + assert_eq!(raw_block.len(), 15); + for (raw_index, terms) in DIALOG_GCD_K5_TAIL7_RAW_ANF.iter().enumerate() { + dialog_gcd_toggle_anf_with_dirty(b, code, raw_block[raw_index], raw_block, terms); + } +} + +fn dialog_gcd_k5_tail7_compress_raw_to_block( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_k5_tail7_toggle_code_from_raw(b, code, raw_block); + dialog_gcd_k5_tail7_toggle_raw_from_code(b, code, raw_block); +} + +fn dialog_gcd_k5_tail7_decompress_block_to_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + dialog_gcd_k5_tail7_toggle_raw_from_code(b, code, raw_block); + dialog_gcd_k5_tail7_toggle_code_from_raw(b, code, raw_block); +} + +fn dialog_gcd_k5_tail3_transfer_survivors( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); + assert_eq!(raw_block.len(), 15); + for (index, &wire) in DIALOG_GCD_K5_TAIL3_DATA_WIRES.iter().enumerate() { + if swap_host { + b.swap(compressed_block[index], raw_block[wire]); + } else { + b.cx(compressed_block[index], raw_block[wire]); + } + } +} + +fn dialog_gcd_k5_tail3_top32_raw(raw_block: &[QubitId]) -> [QubitId; 9] { + assert_eq!(raw_block.len(), 15); + DIALOG_GCD_K5_TAIL3_TOP32_RAW_WIRES.map(|wire| raw_block[wire]) +} + +fn dialog_gcd_k5_tail3_top32_toggle_code_from_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); + let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); + let code_constant = if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { + DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_CODE_CONSTANT + } else { + DIALOG_GCD_K5_TAIL3_TOP32_CODE_CONSTANT + }; + for code_index in 0..DIALOG_GCD_K5_TAIL3_TOP32_ENCODER_ANF.len() { + let terms = if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { + DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_ENCODER_ANF[code_index] + } else { + DIALOG_GCD_K5_TAIL3_TOP32_ENCODER_ANF[code_index] + }; + if (code_constant >> code_index) & 1 != 0 { + b.x(code[code_index]); + } + for &mask in terms { + let controls = raw + .iter() + .enumerate() + .filter_map(|(index, &q)| ((mask >> index) & 1 != 0).then_some(q)) + .collect::>(); + assert!(controls.len() <= 2); + dialog_gcd_toggle_mcx_with_dirty(b, &controls, raw_block, code[code_index]); + } + } +} + +fn dialog_gcd_k5_tail3_top32_toggle_raw_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], +) { + assert_eq!(code.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); + let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); + for raw_index in 0..DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF.len() { + let terms = if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { + DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_DECODER_ANF[raw_index] + } else { + DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF[raw_index] + }; + dialog_gcd_toggle_anf_with_dirty(b, code, raw[raw_index], raw_block, terms); + } +} + +fn dialog_gcd_k5_tail3_top32_slot_raw( + raw_block: &[QubitId], + slot: usize, +) -> [QubitId; 3] { + assert_eq!(raw_block.len(), 15); + assert!(slot < 3); + [raw_block[2 * slot], raw_block[2 * slot + 1], raw_block[10 + slot]] +} + +fn dialog_gcd_k5_tail3_top32_slot_branch_raw( + raw_block: &[QubitId], + slot: usize, +) -> [QubitId; 2] { + assert_eq!(raw_block.len(), 15); + assert!(slot < 3); + [raw_block[2 * slot], raw_block[2 * slot + 1]] +} + +fn dialog_gcd_k5_tail3_top32_slot_shift_raw( + raw_block: &[QubitId], + slot: usize, +) -> [QubitId; 1] { + assert_eq!(raw_block.len(), 15); + assert!(slot < 3); + [raw_block[10 + slot]] +} + +fn dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], + raw_indices: &[usize], +) { + let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); + for &raw_index in raw_indices { + dialog_gcd_toggle_anf_with_dirty( + b, + code, + raw[raw_index], + raw_block, + if dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() { + DIALOG_GCD_K5_TAIL3_TOP32_S2CONST_DECODER_ANF[raw_index] + } else { + DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF[raw_index] + }, + ); + } +} + +fn dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], + slot: usize, +) { + dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( + b, + code, + raw_block, + &[2 * slot, 2 * slot + 1], + ); +} + +fn dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], + slot: usize, +) { + dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code(b, code, raw_block, &[6 + slot]); +} + +fn dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], + slot: usize, +) { + let raw = dialog_gcd_k5_tail3_top32_raw(raw_block); + for raw_index in [2 * slot, 2 * slot + 1, 6 + slot] { + dialog_gcd_toggle_anf_with_dirty( + b, + code, + raw[raw_index], + raw_block, + DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF[raw_index], + ); + } +} + +fn dialog_gcd_k5_tail3_top32_stream_scratch(raw_block: &[QubitId]) -> Vec { + assert_eq!(raw_block.len(), 15); + DIALOG_GCD_K5_TAIL3_TOP32_STREAM_SCRATCH_WIRES + .iter() + .map(|&wire| raw_block[wire]) + .collect() +} + +fn dialog_gcd_k5_tail3_top32_stream_dynamic(raw_block: &[QubitId]) -> Vec { + assert_eq!(raw_block.len(), 15); + raw_block + .iter() + .enumerate() + .filter_map(|(wire, &q)| { + (!DIALOG_GCD_K5_TAIL3_TOP32_STREAM_SCRATCH_WIRES.contains(&wire)).then_some(q) + }) + .collect() +} + +fn dialog_gcd_k5_tail3_top32_compress_raw_to_block( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + if swap_host { + dialog_gcd_k5_tail3_top32_toggle_code_from_raw(b, code, raw_block); + } + dialog_gcd_k5_tail3_top32_toggle_raw_from_code(b, code, raw_block); +} + +fn dialog_gcd_k5_tail3_top32_decompress_block_to_raw( + b: &mut B, + code: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + dialog_gcd_k5_tail3_top32_toggle_raw_from_code(b, code, raw_block); + if swap_host { + dialog_gcd_k5_tail3_top32_toggle_code_from_raw(b, code, raw_block); + } +} + +fn dialog_gcd_k5_tail3_top32_raw_word(pattern: u16) -> u16 { + (0..3).fold(0u16, |raw, slot| { + let digit = (pattern >> (3 * slot)) & 7; + raw + | ((digit & 1) << (2 * slot)) + | (((digit >> 1) & 1) << (2 * slot + 1)) + | (((digit >> 2) & 1) << (6 + slot)) + }) +} + +fn dialog_gcd_k5_tail3_top32_code_word(raw: u16) -> u8 { + DIALOG_GCD_K5_TAIL3_TOP32_ENCODER_ANF + .iter() + .enumerate() + .fold(DIALOG_GCD_K5_TAIL3_TOP32_CODE_CONSTANT, |code, (index, terms)| { + let bit = terms + .iter() + .fold(0u8, |value, &mask| value ^ u8::from(raw & mask == mask)); + code ^ (bit << index) + }) +} + +fn dialog_gcd_k5_tail3_top32_decode_word(code: u8) -> u16 { + DIALOG_GCD_K5_TAIL3_TOP32_DECODER_ANF + .iter() + .enumerate() + .fold(0u16, |raw, (index, terms)| { + let bit = terms.iter().fold(0u16, |value, &mask| { + value ^ u16::from((u16::from(code) & mask) == mask) + }); + raw ^ (bit << index) + }) +} + +pub(crate) fn dialog_gcd_k5_tail3_top32_supports(pattern: u16) -> bool { + DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT.contains(&pattern) +} + +pub(crate) fn dialog_gcd_k5_tail3_top32_codec_selftest() -> Result<(), String> { + use sha3::digest::{ExtendableOutput, Update}; + + let mut seen_codes = [false; 1 << DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; + for &pattern in &DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT { + let raw = dialog_gcd_k5_tail3_top32_raw_word(pattern); + let code = dialog_gcd_k5_tail3_top32_code_word(raw); + if std::mem::replace(&mut seen_codes[code as usize], true) { + return Err(format!( + "duplicate top32 code for pattern 0x{pattern:03x}: 0x{code:02x}" + )); + } + let decoded = dialog_gcd_k5_tail3_top32_decode_word(code); + if decoded != raw { + return Err(format!( + "top32 word mismatch for pattern 0x{pattern:03x}: got 0x{decoded:03x}, want 0x{raw:03x}" + )); + } + } + if seen_codes.iter().any(|seen| !seen) { + return Err("top32 codec does not cover all 32 code words".to_string()); + } + + let mut raw_masks = [0u64; 15]; + let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; + for shot in 0..64 { + let pattern = DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT + [shot % DIALOG_GCD_K5_TAIL3_TOP32_SUPPORT.len()]; + let raw = dialog_gcd_k5_tail3_top32_raw_word(pattern); + let code = dialog_gcd_k5_tail3_top32_code_word(raw); + let shot_bit = 1u64 << shot; + for (index, &wire) in DIALOG_GCD_K5_TAIL3_TOP32_RAW_WIRES + .iter() + .enumerate() + { + if (raw >> index) & 1 != 0 { + raw_masks[wire] |= shot_bit; + } + } + for (index, mask) in code_masks.iter_mut().enumerate() { + if (code >> index) & 1 != 0 { + *mask |= shot_bit; + } + } + } + + let build_codec = |decompress: bool| { + let mut b = B::new(); + let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); + let raw = b.alloc_qubits(15); + if decompress { + dialog_gcd_k5_tail3_top32_decompress_block_to_raw(&mut b, &code, &raw, true); + } else { + dialog_gcd_k5_tail3_top32_compress_raw_to_block(&mut b, &code, &raw, true); + } + (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) + }; + + let run = |decompress: bool, source: &[u64]| { + let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); + let mut seed = sha3::Shake128::default(); + seed.update(b"dialog-gcd-k5-tail3-top32-codec-selftest"); + seed.update(&[u8::from(decompress)]); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); + sim.clear_for_shot(); + let targets = if decompress { &code[..] } else { &raw[..] }; + for (&qubit, &mask) in targets.iter().zip(source.iter()) { + *sim.qubit_mut(qubit) = mask; + } + sim.apply_iter(ops.iter()); + ( + code.iter().map(|&q| sim.qubit(q)).collect::>(), + raw.iter().map(|&q| sim.qubit(q)).collect::>(), + sim.phase, + ) + }; + + let (forward_code, forward_raw, forward_phase) = run(false, &raw_masks); + if forward_phase != 0 { + return Err(format!("top32 forward phase garbage 0x{forward_phase:x}")); + } + if forward_code != code_masks { + return Err(format!( + "top32 forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" + )); + } + if forward_raw.iter().any(|&mask| mask != 0) { + return Err(format!("top32 forward raw garbage: {forward_raw:x?}")); + } + + let (reverse_code, reverse_raw, reverse_phase) = run(true, &code_masks); + if reverse_phase != 0 { + return Err(format!("top32 reverse phase garbage 0x{reverse_phase:x}")); + } + if reverse_code.iter().any(|&mask| mask != 0) { + return Err(format!("top32 reverse code garbage: {reverse_code:x?}")); + } + if reverse_raw != raw_masks { + return Err(format!( + "top32 reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" + )); + } + Ok(()) +} + +fn dialog_gcd_k5_tail3_compress_raw_to_block( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); + assert_eq!(raw_block.len(), 15); + emit_dialog_gcd_k5_pair_encoder(b, &dialog_gcd_k5_pair01(raw_block)); + dialog_gcd_k5_tail3_transfer_survivors(b, compressed_block, raw_block, swap_host); +} + +fn dialog_gcd_k5_tail3_decompress_block_to_raw( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); + assert_eq!(raw_block.len(), 15); + dialog_gcd_k5_tail3_transfer_survivors(b, compressed_block, raw_block, swap_host); + emit_dialog_gcd_k5_pair_encoder_inverse(b, &dialog_gcd_k5_pair01(raw_block)); +} + +fn dialog_gcd_k5_tail3_code_word(left: u8, right: u8) -> Option { + let mut raw = [false; 15]; + for (slot, digit) in [left, right].into_iter().enumerate() { + raw[3 * slot] = digit & 1 != 0; + raw[3 * slot + 1] = digit & 2 != 0; + raw[3 * slot + 2] = digit & 4 != 0; + } + dialog_gcd_k5_head11_pair_encode_word(&mut raw, [0, 1]); + if raw[0] { + return None; + } + Some( + [1usize, 2, 3, 4, 5] + .iter() + .enumerate() + .fold(0u8, |code, (index, &wire)| { + code | (u8::from(raw[wire]) << index) + }), + ) +} + +pub(crate) fn dialog_gcd_k5_tail3_codec_selftest() -> Result<(), String> { + use sha3::digest::{ExtendableOutput, Update}; + + const DIGITS: [u8; 6] = [0, 1, 3, 4, 5, 7]; + let supported = DIGITS + .into_iter() + .flat_map(|left| DIGITS.into_iter().map(move |right| (left, right))) + .filter(|&(left, right)| dialog_gcd_k5_tail3_code_word(left, right).is_some()) + .collect::>(); + if supported.len() != 30 { + return Err(format!( + "expected 30 supported tail pairs, got {}", + supported.len() + )); + } + let mut seen_codes = [false; 1 << DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; + for &(left, right) in &supported { + let code = dialog_gcd_k5_tail3_code_word(left, right).expect("filtered support"); + if std::mem::replace(&mut seen_codes[code as usize], true) { + return Err(format!( + "duplicate tail-pair code for digits ({left}, {right}): 0x{code:02x}" + )); + } + } + + let mut raw_masks = [0u64; 15]; + let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()]; + for shot in 0..64 { + let (left, right) = supported[shot % supported.len()]; + let shot_bit = 1u64 << shot; + for (slot, digit) in [left, right].into_iter().enumerate() { + if digit & 1 != 0 { + raw_masks[2 * slot] |= shot_bit; + } + if digit & 2 != 0 { + raw_masks[2 * slot + 1] |= shot_bit; + } + if digit & 4 != 0 { + raw_masks[10 + slot] |= shot_bit; + } + } + let code = dialog_gcd_k5_tail3_code_word(left, right).expect("supported pair"); + for (index, mask) in code_masks.iter_mut().enumerate() { + if (code >> index) & 1 != 0 { + *mask |= shot_bit; + } + } + } + + let build_codec = |decompress: bool| { + let mut b = B::new(); + let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()); + let raw = b.alloc_qubits(15); + if decompress { + dialog_gcd_k5_tail3_decompress_block_to_raw(&mut b, &code, &raw, true); + } else { + dialog_gcd_k5_tail3_compress_raw_to_block(&mut b, &code, &raw, true); + } + (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) + }; + + let run = |decompress: bool, source: &[u64]| { + let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); + let mut seed = sha3::Shake128::default(); + seed.update(b"dialog-gcd-k5-tail3-codec-selftest"); + seed.update(&[u8::from(decompress)]); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); + sim.clear_for_shot(); + let targets = if decompress { &code[..] } else { &raw[..] }; + for (&qubit, &mask) in targets.iter().zip(source.iter()) { + *sim.qubit_mut(qubit) = mask; + } + sim.apply_iter(ops.iter()); + ( + code.iter().map(|&q| sim.qubit(q)).collect::>(), + raw.iter().map(|&q| sim.qubit(q)).collect::>(), + sim.phase, + ) + }; + + let (forward_code, forward_raw, forward_phase) = run(false, &raw_masks); + if forward_phase != 0 { + return Err(format!("forward phase garbage 0x{forward_phase:x}")); + } + if forward_code != code_masks { + return Err(format!( + "forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" + )); + } + if forward_raw.iter().any(|&mask| mask != 0) { + return Err(format!("forward raw garbage: {forward_raw:x?}")); + } + + let (reverse_code, reverse_raw, reverse_phase) = run(true, &forward_code); + if reverse_phase != 0 { + return Err(format!("reverse phase garbage 0x{reverse_phase:x}")); + } + if reverse_code.iter().any(|&mask| mask != 0) { + return Err(format!("reverse code garbage: {reverse_code:x?}")); + } + if reverse_raw != raw_masks { + return Err(format!( + "reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" + )); + } + Ok(()) +} + +pub(crate) fn dialog_gcd_k5_tail7_codec_selftest() -> Result<(), String> { + use sha3::digest::{ExtendableOutput, Update}; + + let mut raw_masks = [0u64; 15]; + let mut code_masks = [0u64; DIALOG_GCD_K5_TAIL7_CODE_BITS]; + for shot in 0..64 { + let pattern = DIALOG_GCD_K5_TAIL7_SUPPORT[shot % DIALOG_GCD_K5_TAIL7_SUPPORT.len()]; + let shot_bit = 1u64 << shot; + for slot in 0..DIALOG_GCD_K5_TAIL7_STORED_STEPS { + if (pattern >> (3 * slot)) & 1 != 0 { + raw_masks[2 * slot] |= shot_bit; + } + if (pattern >> (3 * slot + 1)) & 1 != 0 { + raw_masks[2 * slot + 1] |= shot_bit; + } + if (pattern >> (3 * slot + 2)) & 1 != 0 { + raw_masks[2 * DIALOG_GCD_K5_TAIL7_STORED_STEPS + slot] |= shot_bit; + } + } + let code = DIALOG_GCD_K5_TAIL7_PACKED_CODE_MASKS + .iter() + .enumerate() + .fold(0u8, |packed, (index, &mask)| { + packed | ((((pattern & mask).count_ones() & 1) as u8) << index) + }); + for (index, mask) in code_masks.iter_mut().enumerate() { + if (code >> index) & 1 != 0 { + *mask |= shot_bit; + } + } + } + + let build_codec = |decompress: bool| { + let mut b = B::new(); + let code = b.alloc_qubits(DIALOG_GCD_K5_TAIL7_CODE_BITS); + let raw = b.alloc_qubits(15); + if decompress { + dialog_gcd_k5_tail7_decompress_block_to_raw(&mut b, &code, &raw); + } else { + dialog_gcd_k5_tail7_compress_raw_to_block(&mut b, &code, &raw); + } + (b.ops, code, raw, b.next_qubit as usize, b.next_bit as usize) + }; + + let run = |decompress: bool| { + let (ops, code, raw, num_qubits, num_bits) = build_codec(decompress); + let mut seed = sha3::Shake128::default(); + seed.update(b"dialog-gcd-k5-tail7-codec-selftest"); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); + sim.clear_for_shot(); + let source = if decompress { &code_masks[..] } else { &raw_masks[..] }; + let targets = if decompress { &code[..] } else { &raw[..] }; + for (&qubit, &mask) in targets.iter().zip(source.iter()) { + *sim.qubit_mut(qubit) = mask; + } + sim.apply_iter(ops.iter()); + ( + code.iter().map(|&q| sim.qubit(q)).collect::>(), + raw.iter().map(|&q| sim.qubit(q)).collect::>(), + sim.phase, + ) + }; + + let (forward_code, forward_raw, forward_phase) = run(false); + if forward_phase != 0 { + return Err(format!("forward phase garbage 0x{forward_phase:x}")); + } + if forward_code != code_masks { + return Err(format!( + "forward code mismatch: got {forward_code:x?}, want {code_masks:x?}" + )); + } + if forward_raw.iter().any(|&mask| mask != 0) { + return Err(format!("forward raw garbage: {forward_raw:x?}")); + } + + let (reverse_code, reverse_raw, reverse_phase) = run(true); + if reverse_phase != 0 { + return Err(format!("reverse phase garbage 0x{reverse_phase:x}")); + } + if reverse_code.iter().any(|&mask| mask != 0) { + return Err(format!("reverse code garbage: {reverse_code:x?}")); + } + if reverse_raw != raw_masks { + return Err(format!( + "reverse raw mismatch: got {reverse_raw:x?}, want {raw_masks:x?}" + )); + } + Ok(()) +} + +fn dialog_gcd_k5_tail_pair1_compress_raw_to_block( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), 1); + assert_eq!(raw_block.len(), 15); + // Supported tail language: + // step 0 = (b0, b0_and_b1, s2) in {(0,0,1), (1,0,1)} + // step 1 = (0,0,1) + // The sole code bit is step-0 b0. + if swap_host { + b.swap(compressed_block[0], raw_block[0]); + } else { + b.cx(compressed_block[0], raw_block[0]); + } + b.x(dialog_gcd_raw_s2(raw_block, 0)); + b.x(dialog_gcd_raw_s2(raw_block, 1)); +} + +fn dialog_gcd_k5_tail_pair1_decompress_block_to_raw( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + swap_host: bool, +) { + assert_eq!(compressed_block.len(), 1); + assert_eq!(raw_block.len(), 15); + b.x(dialog_gcd_raw_s2(raw_block, 1)); + b.x(dialog_gcd_raw_s2(raw_block, 0)); + if swap_host { + b.swap(compressed_block[0], raw_block[0]); + } else { + b.cx(compressed_block[0], raw_block[0]); + } +} + +pub(crate) fn emit_dialog_gcd_round763_compressed_block_swapper( + b: &mut B, + pair: &[QubitId], compressed_block: &[QubitId], scratch: QubitId, slot: usize, @@ -2503,143 +2517,162 @@ pub(crate) fn emit_dialog_gcd_round763_compressed_block_swapper( emit_dialog_gcd_round763_compressor(b, &block); } -pub(crate) fn dialog_gcd_compressed_sidecar_blocks() -> usize { - let group_size = dialog_gcd_sidecar_group_size(); - let blocks = (dialog_gcd_active_iterations() + group_size - 1) / group_size; - if dialog_gcd_k5_tail7_enabled() - || dialog_gcd_k5_tail6_graph_enabled() - || dialog_gcd_k5_tail6_graph9_enabled() - { - blocks - 1 - } else { - blocks - } -} - -fn dialog_gcd_compressed_sidecar_block_index(step: usize) -> usize { - if dialog_gcd_k5_tail7_enabled() - && step >= dialog_gcd_active_iterations() - 7 - || dialog_gcd_k5_tail6_graph_enabled() - && step >= dialog_gcd_active_iterations() - 6 - || dialog_gcd_k5_tail6_graph9_enabled() - && step >= dialog_gcd_active_iterations() - 6 - { - dialog_gcd_compressed_sidecar_blocks() - 1 - } else { - step / dialog_gcd_sidecar_group_size() - } -} - -fn dialog_gcd_compressed_sidecar_block_bits(block: usize) -> usize { - if dialog_gcd_k5_head11_enabled() && block == 0 { - DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() - } else if dialog_gcd_k5_tail6_graph9_enabled() - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS - } else if dialog_gcd_k5_tail6_graph_enabled() - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS - } else if dialog_gcd_k5_tail7_enabled() - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - DIALOG_GCD_K5_TAIL7_CODE_BITS - } else if dialog_gcd_k5_tail_pair1_enabled() - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - 1 - } else if (dialog_gcd_k5_tail3_fixed_last_enabled() - || dialog_gcd_k5_tail3_top32_enabled()) - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - } else if dialog_gcd_k5_tight_partial_block_enabled() - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); - let steps = end - start; - if steps < dialog_gcd_sidecar_group_size() { - DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS + steps - } else { - dialog_gcd_block_bits() - } - } else { - dialog_gcd_block_bits() - } -} - -fn dialog_gcd_compressed_sidecar_block_offset(block: usize) -> usize { - (0..block) - .map(dialog_gcd_compressed_sidecar_block_bits) - .sum() -} - -pub(crate) fn dialog_gcd_compressed_sidecar_bits() -> usize { - (0..dialog_gcd_compressed_sidecar_blocks()) - .map(dialog_gcd_compressed_sidecar_block_bits) - .sum() -} - -pub(crate) fn dialog_gcd_compressed_sidecar_block(compressed_log: &[QubitId], step: usize) -> &[QubitId] { - let block = dialog_gcd_compressed_sidecar_block_index(step); - let start = dialog_gcd_compressed_sidecar_block_offset(block); - let bits = dialog_gcd_compressed_sidecar_block_bits(block); - &compressed_log[start..start + bits] -} +pub(crate) fn dialog_gcd_compressed_sidecar_blocks() -> usize { + let group_size = dialog_gcd_sidecar_group_size(); + let blocks = (dialog_gcd_active_iterations() + group_size - 1) / group_size; + if dialog_gcd_k5_tail7_enabled() + || dialog_gcd_k5_tail6_graph_enabled() + || dialog_gcd_k5_tail6_graph9_enabled() + { + blocks - 1 + } else { + blocks + } +} + +fn dialog_gcd_compressed_sidecar_block_index(step: usize) -> usize { + if dialog_gcd_k5_tail7_enabled() + && step >= dialog_gcd_active_iterations() - 7 + || dialog_gcd_k5_tail6_graph_enabled() + && step >= dialog_gcd_active_iterations() - 6 + || dialog_gcd_k5_tail6_graph9_enabled() + && step >= dialog_gcd_active_iterations() - 6 + { + dialog_gcd_compressed_sidecar_blocks() - 1 + } else { + step / dialog_gcd_sidecar_group_size() + } +} + +fn dialog_gcd_compressed_sidecar_block_bits(block: usize) -> usize { + if dialog_gcd_k5_head11_enabled() && block == 0 { + DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() + } else if dialog_gcd_k5_tail6_graph9_enabled() + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS + } else if dialog_gcd_k5_tail6_graph_enabled() + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS + } else if dialog_gcd_k5_tail7_enabled() + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + DIALOG_GCD_K5_TAIL7_CODE_BITS + } else if dialog_gcd_k5_tail_pair1_enabled() + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + 1 + } else if (dialog_gcd_k5_tail3_fixed_last_enabled() + || dialog_gcd_k5_tail3_top32_enabled()) + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + } else if dialog_gcd_k5_tight_partial_block_enabled() + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); + let steps = end - start; + if steps < dialog_gcd_sidecar_group_size() { + DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS + steps + } else { + dialog_gcd_block_bits() + } + } else { + dialog_gcd_block_bits() + } +} + +fn dialog_gcd_compressed_sidecar_block_offset(block: usize) -> usize { + (0..block) + .map(dialog_gcd_compressed_sidecar_block_bits) + .sum() +} + +pub(crate) fn dialog_gcd_compressed_sidecar_bits() -> usize { + (0..dialog_gcd_compressed_sidecar_blocks()) + .map(dialog_gcd_compressed_sidecar_block_bits) + .sum() +} + +pub(crate) fn dialog_gcd_compressed_sidecar_block(compressed_log: &[QubitId], step: usize) -> &[QubitId] { + let block = dialog_gcd_compressed_sidecar_block_index(step); + let start = dialog_gcd_compressed_sidecar_block_offset(block); + let bits = dialog_gcd_compressed_sidecar_block_bits(block); + &compressed_log[start..start + bits] +} pub(crate) fn dialog_gcd_compressed_log_u_high_runway_enabled() -> bool { - + // Prototype, deliberately NOT enabled by configure_ecdsafail_submission_route. + // + // The wrapper used to allocate all of u and the complete compressed + // transcript at once. Instead, a late transcript suffix can use high u + // lanes: those cells are not touched until forward replay has shrunk u below + // their hosts, stay live across terminal-reuse apply, and are consumed by + // reverse replay before u grows back into them. + // + // This is an experimental support-envelope optimization: it relies on the + // same terminal convergence and width envelope as terminal reuse and + // variable-width tobitvector. Default OFF keeps the accepted route + // byte-identical. + // K=2: runway layout is now block_bits()-aware (8-bit stride), so it is safe + // to host the wider K2 transcript blocks on u-high — this is the peak lever. std::env::var("DIALOG_GCD_COMPRESSED_LOG_U_HIGH_RUNWAY") .ok() .as_deref() - == Some("1") -} - -fn dialog_gcd_k5_constant_tail_stored_steps(block_steps: usize) -> Option { - if dialog_gcd_k5_tail3_fixed_last_enabled() && block_steps == 3 { - Some(2) - } else if dialog_gcd_k5_tail6_graph9_enabled() && block_steps == 6 { - Some(DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS) - } else if dialog_gcd_k5_tail6_graph_enabled() && block_steps == 6 { - Some(DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS) - } else if dialog_gcd_k5_tail7_enabled() && block_steps == 7 { - Some(DIALOG_GCD_K5_TAIL7_STORED_STEPS) - } else { - None - } -} - -fn dialog_gcd_k5_fixed_tail_apply_enabled() -> bool { - (dialog_gcd_k5_tail3_fixed_last_enabled() - || dialog_gcd_k5_tail7_enabled() - || dialog_gcd_k5_tail6_graph_enabled() - || dialog_gcd_k5_tail6_graph9_enabled()) - && (std::env::var("DIALOG_GCD_K5_FIXED_TAIL_APPLY") - .ok() - .as_deref() - == Some("1") - || std::env::var("DIALOG_GCD_K5_TAIL7_UNCONDITIONAL_APPLY") - .ok() - .as_deref() - == Some("1")) -} - -pub(crate) fn dialog_gcd_compressed_log_u_high_runway_blocks() -> usize { - + == Some("1") +} + +fn dialog_gcd_k5_constant_tail_stored_steps(block_steps: usize) -> Option { + if dialog_gcd_k5_tail3_fixed_last_enabled() && block_steps == 3 { + Some(2) + } else if dialog_gcd_k5_tail6_graph9_enabled() && block_steps == 6 { + Some(DIALOG_GCD_K5_TAIL6_GRAPH9_STORED_STEPS) + } else if dialog_gcd_k5_tail6_graph_enabled() && block_steps == 6 { + Some(DIALOG_GCD_K5_TAIL6_GRAPH_STORED_STEPS) + } else if dialog_gcd_k5_tail7_enabled() && block_steps == 7 { + Some(DIALOG_GCD_K5_TAIL7_STORED_STEPS) + } else { + None + } +} + +fn dialog_gcd_k5_fixed_tail_apply_enabled() -> bool { + (dialog_gcd_k5_tail3_fixed_last_enabled() + || dialog_gcd_k5_tail7_enabled() + || dialog_gcd_k5_tail6_graph_enabled() + || dialog_gcd_k5_tail6_graph9_enabled()) + && (std::env::var("DIALOG_GCD_K5_FIXED_TAIL_APPLY") + .ok() + .as_deref() + == Some("1") + || std::env::var("DIALOG_GCD_K5_TAIL7_UNCONDITIONAL_APPLY") + .ok() + .as_deref() + == Some("1")) +} + +pub(crate) fn dialog_gcd_compressed_log_u_high_runway_blocks() -> usize { + // Optional tuning cap for the prototype. The uncapped layout parks the + // longest suffix; lowering the cap is useful when balancing wrapper savings + // against reverse-replay scratch pressure. On the accepted a8d8d5a route, + // 16 whole blocks is the largest prefix-independent tail runway before the + // reverse add loses its cheap scratch host. Keep larger schedules available + // as an explicit experiment, but default the opt-in prototype to that safe + // subset. std::env::var("DIALOG_GCD_COMPRESSED_LOG_U_HIGH_RUNWAY_BLOCKS") .ok() .and_then(|s| s.parse::().ok()) - .unwrap_or(16) -} - -fn dialog_gcd_runway_partial_block_enabled() -> bool { - std::env::var("DIALOG_GCD_RUNWAY_PARTIAL_BLOCK") - .ok() - .as_deref() - == Some("1") -} - + .unwrap_or(16) +} + +fn dialog_gcd_runway_partial_block_enabled() -> bool { + std::env::var("DIALOG_GCD_RUNWAY_PARTIAL_BLOCK") + .ok() + .as_deref() + == Some("1") +} + #[derive(Clone, Debug)] pub(crate) struct DialogGcdCompressedLogUHighRunway { remapped_log: Vec, @@ -2651,59 +2684,65 @@ pub(crate) fn dialog_gcd_slice_intersects(a: &[QubitId], b: &[QubitId]) -> bool } pub(crate) fn dialog_gcd_runway_layout() -> Vec<(usize, usize)> { - + // Leave the top six u lanes unparked. The accepted a8d8d5a route hosts a + // raw 3-step block there whenever the tail is wide enough; reserving those + // lanes keeps that scratch host disjoint from parked transcript cells. let raw_block_bits = 2 * DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE; let Some(highest_host) = N.checked_sub(raw_block_bits + 1) else { return Vec::new(); }; let blocks = dialog_gcd_compressed_sidecar_blocks(); - let first_allowed = blocks.saturating_sub(dialog_gcd_compressed_log_u_high_runway_blocks()); - for first_block in first_allowed..blocks { - let first_bits = dialog_gcd_compressed_sidecar_block_bits(first_block); - let first_slots = if dialog_gcd_runway_partial_block_enabled() { - 0..first_bits - } else { - 0..1 - }; - for first_slot in first_slots { - let mut next_host = highest_host; - let mut layout = Vec::with_capacity( - (first_block..blocks) - .map(dialog_gcd_compressed_sidecar_block_bits) - .sum::() - - first_slot, - ); - let mut fits = true; - for block in first_block..blocks { - let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); - let active_threshold = (start..end) - .map(dialog_gcd_tobitvector_active_width) - .max() - .unwrap_or(1); - let block_offset = dialog_gcd_compressed_sidecar_block_offset(block); - let slot_start = if block == first_block { first_slot } else { 0 }; - for slot in slot_start..dialog_gcd_compressed_sidecar_block_bits(block) { - if next_host < active_threshold { - fits = false; - break; - } - layout.push((block_offset + slot, next_host)); - let Some(next) = next_host.checked_sub(1) else { - fits = false; - break; - }; - next_host = next; - } - if !fits { - break; - } - } - if fits { - return layout; - } - } - } + // Find the longest whole-block suffix that fits. Blocks are assigned in + // forward order to descending u positions: the earliest parked block gets + // the highest hosts because it is replayed last and therefore needs the + // widest inactive-u threshold. + let first_allowed = blocks.saturating_sub(dialog_gcd_compressed_log_u_high_runway_blocks()); + for first_block in first_allowed..blocks { + let first_bits = dialog_gcd_compressed_sidecar_block_bits(first_block); + let first_slots = if dialog_gcd_runway_partial_block_enabled() { + 0..first_bits + } else { + 0..1 + }; + for first_slot in first_slots { + let mut next_host = highest_host; + let mut layout = Vec::with_capacity( + (first_block..blocks) + .map(dialog_gcd_compressed_sidecar_block_bits) + .sum::() + - first_slot, + ); + let mut fits = true; + for block in first_block..blocks { + let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); + let active_threshold = (start..end) + .map(dialog_gcd_tobitvector_active_width) + .max() + .unwrap_or(1); + let block_offset = dialog_gcd_compressed_sidecar_block_offset(block); + let slot_start = if block == first_block { first_slot } else { 0 }; + for slot in slot_start..dialog_gcd_compressed_sidecar_block_bits(block) { + if next_host < active_threshold { + fits = false; + break; + } + layout.push((block_offset + slot, next_host)); + let Some(next) = next_host.checked_sub(1) else { + fits = false; + break; + }; + next_host = next; + } + if !fits { + break; + } + } + if fits { + return layout; + } + } + } Vec::new() } @@ -2735,7 +2774,10 @@ pub(crate) fn dialog_gcd_build_compressed_log_u_high_runway( let mut remapped_log = allocated_log.to_vec(); let mut parked_u_indices = Vec::with_capacity(layout.len()); for (log_index, u_index) in layout { - + // These logical transcript cells are not needed until their late + // forward blocks, when the width envelope guarantees that u[u_index] is + // inactive and |0>. Reverse consumes them before u grows back into the + // same hosts. assert_eq!(log_index, remapped_log.len()); remapped_log.push(u[u_index]); parked_u_indices.push(u_index); @@ -2796,7 +2838,21 @@ pub(crate) fn dialog_gcd_composite_scratch_enabled() -> bool { } pub(crate) fn dialog_gcd_borrow_current_block_enabled() -> bool { - + // The GCD-walk peak (compress_block / shift / reverse_add, all at the same + // height) is pinned by the composite body-scratch DEFICIT: at the widest + // (early) steps the materialized sub/add wants ~2*active_width-1 clean lanes + // for gated+carries, but the only |0> borrow there is the unwritten + // future-log (block k+1..), leaving a fresh-allocated deficit on top of the + // resident tx+ty+u+log. + // + // Novel observation: the CURRENT block's own compressed cells are also |0> + // for the entire duration of that block's steps -- forward they are written + // only by compress_block AFTER every step, reverse they are decompressed + // into raw_block BEFORE every step -- yet the future-carry slice deliberately + // starts at block k+1 and never offers them. Folding block k's own cells into + // the body-scratch borrow shrinks the deficit (a pure qubit relabel, 0 added + // Toffoli) and is value-exact: the body's measured uncompute restores them to + // |0> before compress_block/decompress consumes them. std::env::var("DIALOG_GCD_BORROW_CURRENT_BLOCK") .ok() .as_deref() @@ -2804,7 +2860,17 @@ pub(crate) fn dialog_gcd_borrow_current_block_enabled() -> bool { } pub(crate) fn dialog_gcd_borrow_current_s2_enabled() -> bool { - + // Successor lever to BORROW_CURRENT_BLOCK for the K2 path. The current step's + // own shift2 (`s2`) cell is provably |0> across its sub/add body window + // (forward: written only by the later shift phase; reverse: already + // uncomputed by reverse_unshift) and is restored to |0> by the body's + // measured uncompute before the shift/unshift consumer. Folding it into the + // composite-scratch borrow removes one fresh-allocated deficit lane at the + // width-clamped GCD-walk binder steps (where active_width is pinned at N and + // the future-log borrow has already shrunk a block), dropping the three + // compressed-block tobitvector near-binders one qubit. Pure relabel, 0 added + // Toffoli, value-exact on the reachable GCD support. Default off keeps the + // accepted op stream byte-identical. std::env::var("DIALOG_GCD_BORROW_CURRENT_S2") .ok() .as_deref() @@ -2867,7 +2933,12 @@ pub(crate) fn dialog_gcd_skip_zero_edge_apply_halve_cshift_enabled() -> bool { } pub(crate) fn dialog_gcd_borrow_zero_raw_future_enabled() -> bool { - + // During a block-lifecycle tobitvector body, not every raw transcript cell is + // live yet. Forward pass: slots greater than the current slot are still |0> + // until their later branch/shift phases. Reverse pass: those greater slots + // have already been uncomputed back to |0> before this slot's reverse_add. + // Borrowing those cells as composite scratch is a pure retiming of clean + // storage: the measured add/sub body restores them before any future use. std::env::var("DIALOG_GCD_BORROW_ZERO_RAW_FUTURE") .ok() .as_deref() @@ -2889,7 +2960,11 @@ pub(crate) fn dialog_gcd_build_composite_scratch( active_width: usize, step: usize, ) -> DialogGcdCompositeScratch { - + // The selected add/sub body is the dominant consumer of this composite + // scratch (gated host + borrowed carries). Under the no-physical-c_in body + // it needs only 2*body_len-1 == 2*body_w-3 lanes (vs 2*active_width-1), and + // for the untrimmed fastpath body_w == active_width, so the demand drops by + // exactly 2 lanes — the -1 peak qubit after the gap lane is also reclaimed. let body_start = if dialog_gcd_odd_u_lowbit_fastpath_enabled() { 1 } else { @@ -2903,7 +2978,22 @@ pub(crate) fn dialog_gcd_build_composite_scratch( && body_len >= 1; let stream_suffix = dialog_gcd_selected_body_stream_suffix_bits(step, body_len); let want = if !dialog_gcd_raw_tobitvector_materialized_sub_enabled() { - + // Low-scratch CONTROLLED body (cucc_sub/add_ctrl_lowq): it allocates its + // own c_in+scratch internally and IGNORES borrowed_carries entirely. The + // only remaining consumer of this composite scratch is the branch-bits + // comparator host (dialog_gcd_ccx_cmp_gt_truncated_into_width_hosted), + // whose transient is c_in (1) + carries (compare_bits) = compare_bits+1 + // clean lanes. Sizing the scratch to that comparator need only (instead + // of the materialized body's 2*active_width-1) collapses the `owned` + // deficit that pins the GCD-walk peak. Never exceed the legacy ask, and + // keep >= 1 so an empty borrow set still yields a valid (clean) slice. + // + // When the Gidney-vented controlled body is active, it ALSO consumes this + // composite scratch: it vents its forward carry chain onto active_width-1 + // BORROWED |0> lanes (restored by the measured uncompute). So bump `want` + // to cover both consumers — still <= the materialized 2*active_width-1, so + // the peak stays at the baseline. This guarantees the vented body finds + // enough borrow that it does NOT fresh-alloc (which would spike the peak). let compare_bits = dialog_gcd_compare_bits_for_step(step, active_width); let comparator_need = compare_bits + 1; let body_need = if dialog_gcd_ctrl_body_vented_enabled() { @@ -2918,7 +3008,7 @@ pub(crate) fn dialog_gcd_build_composite_scratch( { 2 * (body_len - 1) } else if nocin { - + // Match the body's exact host demand; never exceed the legacy ask. (2 * body_len - 1).min(2 * active_width - 1) } else { 2 * active_width - 1 @@ -2940,7 +3030,12 @@ pub(crate) fn dialog_gcd_build_composite_scratch( } } if dialog_gcd_borrow_current_block_enabled() { - + // Current block's own compressed cells: |0> across this block's steps + // (forward written only at compress_block, reverse decompressed before + // steps). They sit just BELOW the future-carry slice's start (k+1) and + // are otherwise idle scratch. Restored to |0> by the body's measured + // uncompute. Skip any that the runway parked onto active u (excluded by + // push's active-u guard anyway, but kept explicit for clarity). let block_cells = dialog_gcd_compressed_sidecar_block(compressed_log, step); for &q in block_cells { push(q); @@ -2955,7 +3050,17 @@ pub(crate) fn dialog_gcd_build_composite_scratch( } } if dialog_gcd_borrow_current_s2_enabled() && !raw_block.is_empty() { - + // The CURRENT step's own K2 shift2 (`s2`) cell is |0> across this step's + // body window: forward it is written only by the later SHIFT phase + // (after the sub body), reverse it has just been uncomputed by + // reverse_unshift (before the add body). It is restored to |0> by the + // body's measured uncompute before either consumer runs. Folding it into + // the body-scratch borrow shrinks the fresh deficit by one lane at the + // width-clamped binder steps (the same retiming trick as the current-block + // compressed cells; pure relabel, 0 added Toffoli). The `push` closure + // excludes all raw_block cells, so add it explicitly with the same + // operand/duplicate guards. Disjoint from b0/b0_and_b1 (different slot + // offset) and from u/v (raw_block is its own register). let group_size = dialog_gcd_sidecar_group_size(); let slot = step % group_size; let s2 = raw_block[2 * group_size + slot]; @@ -3030,7 +3135,10 @@ pub(crate) fn dialog_gcd_pick_runway_safe_borrow_slice<'a>( let short = safe_future.map_or(true, |slice| slice.len() < want); if short && u.len() >= active_width + want { let candidate = &u[active_width..active_width + want]; - + // Parked cells can still carry unread transcript data. Be + // conservative: only use an in-place high-u fallback when it is + // disjoint from every logical transcript cell, including clean + // parked cells already consumed by reverse replay. if !dialog_gcd_slice_intersects(candidate, compressed_log) { return Some(candidate); } @@ -3040,7 +3148,9 @@ pub(crate) fn dialog_gcd_pick_runway_safe_borrow_slice<'a>( } pub(crate) fn dialog_gcd_host_reverse_raw_block_enabled() -> bool { - + // K=2 originally disabled this because the non-pair raw block widened to 9 + // lanes while the host search assumed 6. The host search below is now + // raw_block_len-aware, but keep K2 hosting behind a separate experiment knob. if dialog_gcd_k2_enabled() && std::env::var("DIALOG_GCD_K2_HOST_RAW_BLOCK") .ok() @@ -3055,23 +3165,23 @@ pub(crate) fn dialog_gcd_host_reverse_raw_block_enabled() -> bool { == Some("1") } -pub(crate) fn dialog_gcd_k2_apply_inplace_raw_block_enabled() -> bool { - dialog_gcd_k2_pair_compress_enabled() - && std::env::var("DIALOG_GCD_K2_APPLY_INPLACE_RAW_BLOCK") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_k5_free_clean_block_during_shift_enabled() -> bool { - dialog_gcd_k5_clean_block_enabled() - && std::env::var("DIALOG_GCD_K5_FREE_CLEAN_BLOCK_DURING_SHIFT") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_reverse_raw_block_host<'a>( +pub(crate) fn dialog_gcd_k2_apply_inplace_raw_block_enabled() -> bool { + dialog_gcd_k2_pair_compress_enabled() + && std::env::var("DIALOG_GCD_K2_APPLY_INPLACE_RAW_BLOCK") + .ok() + .as_deref() + == Some("1") +} + +pub(crate) fn dialog_gcd_k5_free_clean_block_during_shift_enabled() -> bool { + dialog_gcd_k5_clean_block_enabled() + && std::env::var("DIALOG_GCD_K5_FREE_CLEAN_BLOCK_DURING_SHIFT") + .ok() + .as_deref() + == Some("1") +} + +pub(crate) fn dialog_gcd_reverse_raw_block_host<'a>( u: &'a [QubitId], compressed_log: &'a [QubitId], block: usize, @@ -3091,7 +3201,7 @@ pub(crate) fn dialog_gcd_reverse_raw_block_host<'a>( return Some(candidate); } } - let future_start = dialog_gcd_compressed_sidecar_block_offset(block + 1); + let future_start = dialog_gcd_compressed_sidecar_block_offset(block + 1); let future = compressed_log.get(future_start..)?; if future.len() < want + raw_bits { return None; @@ -3099,7 +3209,9 @@ pub(crate) fn dialog_gcd_reverse_raw_block_host<'a>( if !dialog_gcd_compressed_log_u_high_runway_enabled() { return Some(&future[future.len() - raw_bits..]); } - + // Keep the raw host after the largest possible carry+gated prefix and away + // from active u. With remapped runway cells the old final-six shortcut can + // alias the growing reverse u prefix. future[want..] .windows(raw_bits) .rev() @@ -3118,7 +3230,7 @@ pub(crate) fn dialog_gcd_forward_raw_block_host<'a>( let active_width = dialog_gcd_tobitvector_active_width(start); let want = 2 * active_width - 1; let raw_bits = dialog_gcd_raw_block_len(); - let future_start = dialog_gcd_compressed_sidecar_block_offset(block + 1); + let future_start = dialog_gcd_compressed_sidecar_block_offset(block + 1); if let Some(future) = compressed_log.get(future_start..) { if future.len() >= want + raw_bits { if !dialog_gcd_compressed_log_u_high_runway_enabled() { @@ -3145,153 +3257,158 @@ pub(crate) fn dialog_gcd_forward_raw_block_host<'a>( } else { None } -} - -pub(crate) fn dialog_gcd_compressed_sidecar_future_carry_slice( - compressed_log: &[QubitId], - step: usize, - active_width: usize, -) -> Option<&[QubitId]> { - if !dialog_gcd_raw_tobitvector_borrow_future_log_carries_enabled() { - return None; - } - let carry_need = active_width.saturating_sub(1); - - let want = if dialog_gcd_host_gated_enabled() { - 2 * active_width - 1 - } else { - carry_need - }; - let next_block = dialog_gcd_compressed_sidecar_block_index(step) + 1; - let start = dialog_gcd_compressed_sidecar_block_offset(next_block); - compressed_log - .get(start..) - .filter(|future| future.len() >= carry_need) - .map(|future| &future[..future.len().min(want)]) -} - -pub(crate) fn dialog_gcd_compressed_sidecar_block_step_range(block: usize) -> (usize, usize) { - if (dialog_gcd_k5_tail6_graph_enabled() || dialog_gcd_k5_tail6_graph9_enabled()) - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - return ( - dialog_gcd_active_iterations() - 6, - dialog_gcd_active_iterations(), - ); - } - if dialog_gcd_k5_tail7_enabled() - && block + 1 == dialog_gcd_compressed_sidecar_blocks() - { - return ( - dialog_gcd_active_iterations() - 7, - dialog_gcd_active_iterations(), - ); - } - let group_size = dialog_gcd_sidecar_group_size(); - let start = block * group_size; - let end = (start + group_size).min(dialog_gcd_active_iterations()); - (start, end) -} - -pub(crate) fn dialog_gcd_copy_compressed_block_to_raw( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - steps: usize, -) { - if dialog_gcd_k5_head11_enabled() - && steps == 5 - && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() - { - dialog_gcd_k5_head11_decompress_block_to_raw( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - - b.cx(raw_block[0], raw_block[1]); - return; - } - if dialog_gcd_k5_tail6_graph9_enabled() - && steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS - { - dialog_gcd_k5_tail6_graph9_decompress_block_to_raw(b, compressed_block, raw_block); - return; - } - if dialog_gcd_k5_tail6_graph_enabled() - && steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS - { - dialog_gcd_k5_tail6_graph_decompress_block_to_raw(b, compressed_block, raw_block); - return; - } - if dialog_gcd_k5_tail7_enabled() - && steps == 7 - && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS - { - dialog_gcd_k5_tail7_decompress_block_to_raw(b, compressed_block, raw_block); - return; - } - if dialog_gcd_k5_tail3_top32_enabled() - && steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_top32_decompress_block_to_raw( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - return; - } - if dialog_gcd_k5_tail3_fixed_last_enabled() - && steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_decompress_block_to_raw( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - return; - } - if dialog_gcd_k5_tail_pair1_enabled() && steps == 2 && compressed_block.len() == 1 { - dialog_gcd_k5_tail_pair1_decompress_block_to_raw( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - return; - } - if dialog_gcd_k5_clean_block_enabled() { - if steps == 5 { - dialog_gcd_k5_decompress_block_to_raw( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - } else { - dialog_gcd_k5_decompress_partial_block_to_raw( - b, - compressed_block, - raw_block, - steps, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - } - return; - } - if dialog_gcd_k2_pair_compress_enabled() { - dialog_gcd_k2_pair_copy_compressed_block_to_raw(b, compressed_block, raw_block, steps); - return; +} + +pub(crate) fn dialog_gcd_compressed_sidecar_future_carry_slice( + compressed_log: &[QubitId], + step: usize, + active_width: usize, +) -> Option<&[QubitId]> { + if !dialog_gcd_raw_tobitvector_borrow_future_log_carries_enabled() { + return None; } - let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; - let raw_base = 2 * dialog_gcd_sidecar_group_size(); + let carry_need = active_width.saturating_sub(1); + // When hosting the gated register too, request up to carry(n-1)+gated(n)=2n-1 + // clean slots; the consumer splits the returned slice. Graceful: never return + // fewer than carry_need (so carry borrowing is preserved), never more than + // what the future region holds. + let want = if dialog_gcd_host_gated_enabled() { + 2 * active_width - 1 + } else { + carry_need + }; + let next_block = dialog_gcd_compressed_sidecar_block_index(step) + 1; + let start = dialog_gcd_compressed_sidecar_block_offset(next_block); + compressed_log + .get(start..) + .filter(|future| future.len() >= carry_need) + .map(|future| &future[..future.len().min(want)]) +} + +pub(crate) fn dialog_gcd_compressed_sidecar_block_step_range(block: usize) -> (usize, usize) { + if (dialog_gcd_k5_tail6_graph_enabled() || dialog_gcd_k5_tail6_graph9_enabled()) + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + return ( + dialog_gcd_active_iterations() - 6, + dialog_gcd_active_iterations(), + ); + } + if dialog_gcd_k5_tail7_enabled() + && block + 1 == dialog_gcd_compressed_sidecar_blocks() + { + return ( + dialog_gcd_active_iterations() - 7, + dialog_gcd_active_iterations(), + ); + } + let group_size = dialog_gcd_sidecar_group_size(); + let start = block * group_size; + let end = (start + group_size).min(dialog_gcd_active_iterations()); + (start, end) +} + +pub(crate) fn dialog_gcd_copy_compressed_block_to_raw( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + steps: usize, +) { + if dialog_gcd_k5_head11_enabled() + && steps == 5 + && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() + { + dialog_gcd_k5_head11_decompress_block_to_raw( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + // At step 0, u=p and every nonzero field factor v satisfies u>v, so + // b0_and_b1 == b0. Keep the duplicate lane zero during apply replay; + // the caller aliases the control and can lend this cell as clean scratch. + b.cx(raw_block[0], raw_block[1]); + return; + } + if dialog_gcd_k5_tail6_graph9_enabled() + && steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS + { + dialog_gcd_k5_tail6_graph9_decompress_block_to_raw(b, compressed_block, raw_block); + return; + } + if dialog_gcd_k5_tail6_graph_enabled() + && steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS + { + dialog_gcd_k5_tail6_graph_decompress_block_to_raw(b, compressed_block, raw_block); + return; + } + if dialog_gcd_k5_tail7_enabled() + && steps == 7 + && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS + { + dialog_gcd_k5_tail7_decompress_block_to_raw(b, compressed_block, raw_block); + return; + } + if dialog_gcd_k5_tail3_top32_enabled() + && steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_top32_decompress_block_to_raw( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + return; + } + if dialog_gcd_k5_tail3_fixed_last_enabled() + && steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_decompress_block_to_raw( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + return; + } + if dialog_gcd_k5_tail_pair1_enabled() && steps == 2 && compressed_block.len() == 1 { + dialog_gcd_k5_tail_pair1_decompress_block_to_raw( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + return; + } + if dialog_gcd_k5_clean_block_enabled() { + if steps == 5 { + dialog_gcd_k5_decompress_block_to_raw( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + } else { + dialog_gcd_k5_decompress_partial_block_to_raw( + b, + compressed_block, + raw_block, + steps, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + } + return; + } + if dialog_gcd_k2_pair_compress_enabled() { + dialog_gcd_k2_pair_copy_compressed_block_to_raw(b, compressed_block, raw_block, steps); + return; + } + let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; // 5 + let raw_base = 2 * dialog_gcd_sidecar_group_size(); // 6 assert_eq!(compressed_block.len(), dialog_gcd_block_bits()); assert_eq!(raw_block.len(), dialog_gcd_raw_block_len()); let swap_host = dialog_gcd_apply_replay_swap_host_enabled(); @@ -3303,7 +3420,7 @@ pub(crate) fn dialog_gcd_copy_compressed_block_to_raw( } } emit_dialog_gcd_round763_compressor_inverse(b, &raw_block[0..raw_base]); - + // K=2 shift2 tail: compressed[5..] -> raw[6..] (raw, no compression). for j in base_bits..dialog_gcd_block_bits() { let r = raw_base + (j - base_bits); if swap_host { @@ -3314,109 +3431,110 @@ pub(crate) fn dialog_gcd_copy_compressed_block_to_raw( } } -pub(crate) fn dialog_gcd_clear_raw_block_copy( - b: &mut B, - compressed_block: &[QubitId], - raw_block: &[QubitId], - steps: usize, -) { - if dialog_gcd_k5_head11_enabled() - && steps == 5 - && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() - { - - b.cx(raw_block[0], raw_block[1]); - dialog_gcd_k5_head11_compress_raw_to_block( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - return; - } - if dialog_gcd_k5_tail6_graph9_enabled() - && steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS - { - dialog_gcd_k5_tail6_graph9_compress_raw_to_block(b, compressed_block, raw_block); - return; - } - if dialog_gcd_k5_tail6_graph_enabled() - && steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS - { - dialog_gcd_k5_tail6_graph_compress_raw_to_block(b, compressed_block, raw_block); - return; - } - if dialog_gcd_k5_tail7_enabled() - && steps == 7 - && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS - { - dialog_gcd_k5_tail7_compress_raw_to_block(b, compressed_block, raw_block); - return; - } - if dialog_gcd_k5_tail3_top32_enabled() - && steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_top32_compress_raw_to_block( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - return; - } - if dialog_gcd_k5_tail3_fixed_last_enabled() - && steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_compress_raw_to_block( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - return; - } - if dialog_gcd_k5_tail_pair1_enabled() && steps == 2 && compressed_block.len() == 1 { - dialog_gcd_k5_tail_pair1_compress_raw_to_block( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - return; - } - if dialog_gcd_k5_clean_block_enabled() { - if steps == 5 { - dialog_gcd_k5_compress_raw_to_block( - b, - compressed_block, - raw_block, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - } else { - dialog_gcd_k5_compress_partial_raw_to_block( - b, - compressed_block, - raw_block, - steps, - dialog_gcd_apply_replay_swap_host_enabled(), - ); - } - return; - } - if dialog_gcd_k2_pair_compress_enabled() { - dialog_gcd_k2_pair_clear_raw_block_copy(b, compressed_block, raw_block, steps); - return; - } +pub(crate) fn dialog_gcd_clear_raw_block_copy( + b: &mut B, + compressed_block: &[QubitId], + raw_block: &[QubitId], + steps: usize, +) { + if dialog_gcd_k5_head11_enabled() + && steps == 5 + && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() + { + // Reconstruct the duplicated step-0 branch bit before running the exact + // inverse head codec. + b.cx(raw_block[0], raw_block[1]); + dialog_gcd_k5_head11_compress_raw_to_block( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + return; + } + if dialog_gcd_k5_tail6_graph9_enabled() + && steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS + { + dialog_gcd_k5_tail6_graph9_compress_raw_to_block(b, compressed_block, raw_block); + return; + } + if dialog_gcd_k5_tail6_graph_enabled() + && steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS + { + dialog_gcd_k5_tail6_graph_compress_raw_to_block(b, compressed_block, raw_block); + return; + } + if dialog_gcd_k5_tail7_enabled() + && steps == 7 + && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS + { + dialog_gcd_k5_tail7_compress_raw_to_block(b, compressed_block, raw_block); + return; + } + if dialog_gcd_k5_tail3_top32_enabled() + && steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_top32_compress_raw_to_block( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + return; + } + if dialog_gcd_k5_tail3_fixed_last_enabled() + && steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_compress_raw_to_block( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + return; + } + if dialog_gcd_k5_tail_pair1_enabled() && steps == 2 && compressed_block.len() == 1 { + dialog_gcd_k5_tail_pair1_compress_raw_to_block( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + return; + } + if dialog_gcd_k5_clean_block_enabled() { + if steps == 5 { + dialog_gcd_k5_compress_raw_to_block( + b, + compressed_block, + raw_block, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + } else { + dialog_gcd_k5_compress_partial_raw_to_block( + b, + compressed_block, + raw_block, + steps, + dialog_gcd_apply_replay_swap_host_enabled(), + ); + } + return; + } + if dialog_gcd_k2_pair_compress_enabled() { + dialog_gcd_k2_pair_clear_raw_block_copy(b, compressed_block, raw_block, steps); + return; + } let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; let raw_base = 2 * dialog_gcd_sidecar_group_size(); assert_eq!(compressed_block.len(), dialog_gcd_block_bits()); assert_eq!(raw_block.len(), dialog_gcd_raw_block_len()); let swap_host = dialog_gcd_apply_replay_swap_host_enabled(); - + // Inverse of copy: clear the shift2 tail first, then recompress the base. for j in base_bits..dialog_gcd_block_bits() { let r = raw_base + (j - base_bits); if swap_host { @@ -3487,10 +3605,10 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_block_lifecyc assert!(raw_block.is_empty() || raw_block.len() == dialog_gcd_raw_block_len()); assert!(compressed_log.len() >= dialog_gcd_compressed_sidecar_bits()); - for block in 0..dialog_gcd_compressed_sidecar_blocks() { - let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); - let block_steps = end - start; - let hosted_raw_block = dialog_gcd_forward_raw_block_host(u, compressed_log, block); + for block in 0..dialog_gcd_compressed_sidecar_blocks() { + let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); + let block_steps = end - start; + let hosted_raw_block = dialog_gcd_forward_raw_block_host(u, compressed_log, block); let owned_raw_block = if dialog_gcd_host_reverse_raw_block_enabled() && hosted_raw_block.is_none() { b.alloc_qubits(dialog_gcd_raw_block_len()) @@ -3503,22 +3621,22 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_block_lifecyc } else { &owned_raw_block } - }); - for step in start..end { - let slot = step - start; - if dialog_gcd_k5_constant_tail_stored_steps(block_steps) - .is_some_and(|stored_steps| slot >= stored_steps) - { - let active_width = dialog_gcd_tobitvector_active_width(step); - let shift_width = dialog_gcd_tobitvector_shift_width(active_width, step); - let v_shift = &v[..shift_width]; - b.set_phase("dialog_gcd_compressed_block_tobitvector_tail7_constant_shift"); - dialog_gcd_shift_right_assuming_even(b, v_shift); - dialog_gcd_shift_right_assuming_even(b, v_shift); - continue; - } - let b0 = raw_block[2 * slot]; - let b0_and_b1 = raw_block[2 * slot + 1]; + }); + for step in start..end { + let slot = step - start; + if dialog_gcd_k5_constant_tail_stored_steps(block_steps) + .is_some_and(|stored_steps| slot >= stored_steps) + { + let active_width = dialog_gcd_tobitvector_active_width(step); + let shift_width = dialog_gcd_tobitvector_shift_width(active_width, step); + let v_shift = &v[..shift_width]; + b.set_phase("dialog_gcd_compressed_block_tobitvector_tail7_constant_shift"); + dialog_gcd_shift_right_assuming_even(b, v_shift); + dialog_gcd_shift_right_assuming_even(b, v_shift); + continue; + } + let b0 = raw_block[2 * slot]; + let b0_and_b1 = raw_block[2 * slot + 1]; let active_width = dialog_gcd_tobitvector_active_width(step); let u_active = &u[..active_width]; let v_active = &v[..active_width]; @@ -3556,9 +3674,17 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_block_lifecyc b.set_phase("dialog_gcd_compressed_block_tobitvector_branch_bits"); b.cx(v[0], b0); if dialog_gcd_fused_branch_bits_enabled() { - + // Fused path derives b0_and_b1 from the in-flight comparator carry + // and never materializes a separate `cmp` ancilla. Allocating it + // here would add a dead live-qubit at the branch_bits peak instant + // (peak is measured by simultaneously-live count, not qubit-id reuse), + // so it is allocated only on the non-fused branch below. if dialog_gcd_branch_bits_host_comparator_enabled() { - + // Host the comparator's c_in+carries transient on the idle + // future-log slice (the same slice the subtract borrows below; + // it is unwritten at the comparator instant) so branch_bits no + // longer allocates its own peak qubit. Value-exact; the slice is + // returned clean by the measured uncompute sweep. dialog_gcd_ccx_cmp_gt_truncated_into_width_hosted( b, u_active, @@ -3616,8 +3742,11 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_block_lifecyc let v_shift = &v[..shift_width]; dialog_gcd_shift_right_assuming_even(b, v_shift); if dialog_gcd_k2_enabled() { - - let s2 = dialog_gcd_block_raw_s2(raw_block, block_steps, slot); + // K=2: record shift2 = NOT v_active[0] (v still even after the + // first shift) into the sidecar, then conditionally shift v_active + // right once more. Free 1-bit shift is a relabel; this 2nd shift is + // data-dependent (cswap cascade), ~aw CCX. + let s2 = dialog_gcd_block_raw_s2(raw_block, block_steps, slot); let v0 = v_active[0]; if std::env::var("DIALOG_GCD_K2_FORCE0").ok().as_deref() != Some("1") { b.cx(v0, s2); @@ -3644,90 +3773,91 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_block_lifecyc } b.set_phase("dialog_gcd_compressed_block_tobitvector_compress_block"); - let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; + let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; // 5 let compressed_block = dialog_gcd_compressed_sidecar_block(compressed_log, start); if dialog_gcd_compressed_log_u_high_runway_enabled() { - + // A parked forward block is first written only after its high-u + // hosts have left the active prefix. assert!( !dialog_gcd_slice_intersects( compressed_block, &u[..dialog_gcd_tobitvector_active_width(start)] ), - "compressed-log runway overlaps active forward u prefix at block {block}" - ); - } - if dialog_gcd_k5_head11_enabled() - && start == 0 - && block_steps == 5 - && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() - { - dialog_gcd_k5_head11_compress_raw_to_block(b, compressed_block, raw_block, true); - } else if dialog_gcd_k5_tail6_graph9_enabled() - && block_steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS - { - dialog_gcd_k5_tail6_graph9_compress_raw_to_block(b, compressed_block, raw_block); - } else if dialog_gcd_k5_tail6_graph_enabled() - && block_steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS - { - dialog_gcd_k5_tail6_graph_compress_raw_to_block(b, compressed_block, raw_block); - } else if dialog_gcd_k5_tail7_enabled() - && block_steps == 7 - && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS - { - dialog_gcd_k5_tail7_compress_raw_to_block(b, compressed_block, raw_block); - } else if dialog_gcd_k5_tail3_top32_enabled() - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_top32_compress_raw_to_block( - b, - compressed_block, - raw_block, - true, - ); - } else if dialog_gcd_k5_tail3_fixed_last_enabled() - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_compress_raw_to_block( - b, - compressed_block, - raw_block, - true, - ); - } else if dialog_gcd_k5_tail_pair1_enabled() - && end - start == 2 - && compressed_block.len() == 1 - { - dialog_gcd_k5_tail_pair1_compress_raw_to_block( - b, - compressed_block, - raw_block, - true, - ); - } else if dialog_gcd_k5_clean_block_enabled() { - if end - start == 5 { - dialog_gcd_k5_compress_raw_to_block(b, compressed_block, raw_block, true); - } else { - dialog_gcd_k5_compress_partial_raw_to_block( - b, - compressed_block, - raw_block, - end - start, - true, - ); - } - } else if dialog_gcd_k2_pair_compress_enabled() { - dialog_gcd_k2_pair_clear_raw_block_copy(b, compressed_block, raw_block, end - start); - } else { - let raw_base = 2 * dialog_gcd_sidecar_group_size(); - emit_dialog_gcd_round763_compressor(b, &raw_block[0..raw_base]); + "compressed-log runway overlaps active forward u prefix at block {block}" + ); + } + if dialog_gcd_k5_head11_enabled() + && start == 0 + && block_steps == 5 + && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() + { + dialog_gcd_k5_head11_compress_raw_to_block(b, compressed_block, raw_block, true); + } else if dialog_gcd_k5_tail6_graph9_enabled() + && block_steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS + { + dialog_gcd_k5_tail6_graph9_compress_raw_to_block(b, compressed_block, raw_block); + } else if dialog_gcd_k5_tail6_graph_enabled() + && block_steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS + { + dialog_gcd_k5_tail6_graph_compress_raw_to_block(b, compressed_block, raw_block); + } else if dialog_gcd_k5_tail7_enabled() + && block_steps == 7 + && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS + { + dialog_gcd_k5_tail7_compress_raw_to_block(b, compressed_block, raw_block); + } else if dialog_gcd_k5_tail3_top32_enabled() + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_top32_compress_raw_to_block( + b, + compressed_block, + raw_block, + true, + ); + } else if dialog_gcd_k5_tail3_fixed_last_enabled() + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_compress_raw_to_block( + b, + compressed_block, + raw_block, + true, + ); + } else if dialog_gcd_k5_tail_pair1_enabled() + && end - start == 2 + && compressed_block.len() == 1 + { + dialog_gcd_k5_tail_pair1_compress_raw_to_block( + b, + compressed_block, + raw_block, + true, + ); + } else if dialog_gcd_k5_clean_block_enabled() { + if end - start == 5 { + dialog_gcd_k5_compress_raw_to_block(b, compressed_block, raw_block, true); + } else { + dialog_gcd_k5_compress_partial_raw_to_block( + b, + compressed_block, + raw_block, + end - start, + true, + ); + } + } else if dialog_gcd_k2_pair_compress_enabled() { + dialog_gcd_k2_pair_clear_raw_block_copy(b, compressed_block, raw_block, end - start); + } else { + let raw_base = 2 * dialog_gcd_sidecar_group_size(); // 6 + emit_dialog_gcd_round763_compressor(b, &raw_block[0..raw_base]); for i in 0..base_bits { b.swap(raw_block[i], compressed_block[i]); } - + // K=2: stash the shift2 bits raw[raw_base..] into compressed_block[5..]. for j in base_bits..dialog_gcd_block_bits() { b.swap(raw_block[raw_base + (j - base_bits)], compressed_block[j]); } @@ -3750,10 +3880,10 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_reverse_block assert!(raw_block.is_empty() || raw_block.len() == dialog_gcd_raw_block_len()); assert!(compressed_log.len() >= dialog_gcd_compressed_sidecar_bits()); - for block in (0..dialog_gcd_compressed_sidecar_blocks()).rev() { - let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); - let block_steps = end - start; - let compressed_block = dialog_gcd_compressed_sidecar_block(compressed_log, start); + for block in (0..dialog_gcd_compressed_sidecar_blocks()).rev() { + let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); + let block_steps = end - start; + let compressed_block = dialog_gcd_compressed_sidecar_block(compressed_log, start); let hosted_raw_block = dialog_gcd_reverse_raw_block_host(u, compressed_log, block); let owned_raw_block = if dialog_gcd_host_reverse_raw_block_enabled() && hosted_raw_block.is_none() { @@ -3771,7 +3901,8 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_reverse_block b.set_phase("dialog_gcd_compressed_block_tobitvector_reverse_decompress_block"); if dialog_gcd_compressed_log_u_high_runway_enabled() { - + // A parked block must be consumed while all of its high-u hosts are + // outside this block's active prefix. assert!( !dialog_gcd_slice_intersects( compressed_block, @@ -3779,126 +3910,126 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_reverse_block ), "compressed-log runway overlaps active reverse u prefix at block {block}" ); - } - { - let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; - if dialog_gcd_k5_head11_enabled() - && start == 0 - && block_steps == 5 - && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() - { - dialog_gcd_k5_head11_decompress_block_to_raw( - b, - compressed_block, - raw_block, - true, - ); - } else if dialog_gcd_k5_tail6_graph9_enabled() - && block_steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS - { - dialog_gcd_k5_tail6_graph9_decompress_block_to_raw( - b, - compressed_block, - raw_block, - ); - } else if dialog_gcd_k5_tail6_graph_enabled() - && block_steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS - { - dialog_gcd_k5_tail6_graph_decompress_block_to_raw( - b, - compressed_block, - raw_block, - ); - } else if dialog_gcd_k5_tail7_enabled() - && block_steps == 7 - && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS - { - dialog_gcd_k5_tail7_decompress_block_to_raw( - b, - compressed_block, - raw_block, - ); - } else if dialog_gcd_k5_tail3_top32_enabled() - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_top32_decompress_block_to_raw( - b, - compressed_block, - raw_block, - true, - ); - } else if dialog_gcd_k5_tail3_fixed_last_enabled() - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() - { - dialog_gcd_k5_tail3_decompress_block_to_raw( - b, - compressed_block, - raw_block, - true, - ); - } else if dialog_gcd_k5_tail_pair1_enabled() - && end - start == 2 - && compressed_block.len() == 1 - { - dialog_gcd_k5_tail_pair1_decompress_block_to_raw( - b, - compressed_block, - raw_block, - true, - ); - } else if dialog_gcd_k5_clean_block_enabled() { - if end - start == 5 { - dialog_gcd_k5_decompress_block_to_raw(b, compressed_block, raw_block, true); - } else { - dialog_gcd_k5_decompress_partial_block_to_raw( - b, - compressed_block, - raw_block, - end - start, - true, - ); - } - } else if dialog_gcd_k2_pair_compress_enabled() { - dialog_gcd_k2_pair_copy_compressed_block_to_raw( - b, - compressed_block, + } + { + let base_bits = DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS; // 5 + if dialog_gcd_k5_head11_enabled() + && start == 0 + && block_steps == 5 + && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len() + { + dialog_gcd_k5_head11_decompress_block_to_raw( + b, + compressed_block, + raw_block, + true, + ); + } else if dialog_gcd_k5_tail6_graph9_enabled() + && block_steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS + { + dialog_gcd_k5_tail6_graph9_decompress_block_to_raw( + b, + compressed_block, + raw_block, + ); + } else if dialog_gcd_k5_tail6_graph_enabled() + && block_steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH_CODE_BITS + { + dialog_gcd_k5_tail6_graph_decompress_block_to_raw( + b, + compressed_block, + raw_block, + ); + } else if dialog_gcd_k5_tail7_enabled() + && block_steps == 7 + && compressed_block.len() == DIALOG_GCD_K5_TAIL7_CODE_BITS + { + dialog_gcd_k5_tail7_decompress_block_to_raw( + b, + compressed_block, + raw_block, + ); + } else if dialog_gcd_k5_tail3_top32_enabled() + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_top32_decompress_block_to_raw( + b, + compressed_block, + raw_block, + true, + ); + } else if dialog_gcd_k5_tail3_fixed_last_enabled() + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len() + { + dialog_gcd_k5_tail3_decompress_block_to_raw( + b, + compressed_block, + raw_block, + true, + ); + } else if dialog_gcd_k5_tail_pair1_enabled() + && end - start == 2 + && compressed_block.len() == 1 + { + dialog_gcd_k5_tail_pair1_decompress_block_to_raw( + b, + compressed_block, + raw_block, + true, + ); + } else if dialog_gcd_k5_clean_block_enabled() { + if end - start == 5 { + dialog_gcd_k5_decompress_block_to_raw(b, compressed_block, raw_block, true); + } else { + dialog_gcd_k5_decompress_partial_block_to_raw( + b, + compressed_block, + raw_block, + end - start, + true, + ); + } + } else if dialog_gcd_k2_pair_compress_enabled() { + dialog_gcd_k2_pair_copy_compressed_block_to_raw( + b, + compressed_block, raw_block, end - start, ); } else { - let raw_base = 2 * dialog_gcd_sidecar_group_size(); + let raw_base = 2 * dialog_gcd_sidecar_group_size(); // 6 for i in 0..base_bits { b.swap(compressed_block[i], raw_block[i]); } emit_dialog_gcd_round763_compressor_inverse(b, &raw_block[0..raw_base]); - + // K=2: bring the shift2 bits compressed[5..] -> raw[raw_base..]. for j in base_bits..dialog_gcd_block_bits() { b.swap(compressed_block[j], raw_block[raw_base + (j - base_bits)]); } } } - - for step in (start..end).rev() { - let slot = step - start; - if dialog_gcd_k5_constant_tail_stored_steps(block_steps) - .is_some_and(|stored_steps| slot >= stored_steps) - { - let active_width = dialog_gcd_tobitvector_active_width(step); - let shift_width = dialog_gcd_tobitvector_shift_width(active_width, step); - let v_shift = &v[..shift_width]; - b.set_phase( - "dialog_gcd_compressed_block_tobitvector_reverse_tail7_constant_unshift", - ); - dialog_gcd_unshift_right_assuming_even(b, v_shift); - dialog_gcd_unshift_right_assuming_even(b, v_shift); - continue; - } - let b0 = raw_block[2 * slot]; - let b0_and_b1 = raw_block[2 * slot + 1]; + + for step in (start..end).rev() { + let slot = step - start; + if dialog_gcd_k5_constant_tail_stored_steps(block_steps) + .is_some_and(|stored_steps| slot >= stored_steps) + { + let active_width = dialog_gcd_tobitvector_active_width(step); + let shift_width = dialog_gcd_tobitvector_shift_width(active_width, step); + let v_shift = &v[..shift_width]; + b.set_phase( + "dialog_gcd_compressed_block_tobitvector_reverse_tail7_constant_unshift", + ); + dialog_gcd_unshift_right_assuming_even(b, v_shift); + dialog_gcd_unshift_right_assuming_even(b, v_shift); + continue; + } + let b0 = raw_block[2 * slot]; + let b0_and_b1 = raw_block[2 * slot + 1]; let active_width = dialog_gcd_tobitvector_active_width(step); let u_active = &u[..active_width]; let v_active = &v[..active_width]; @@ -3908,8 +4039,10 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_reverse_block let shift_width = dialog_gcd_tobitvector_shift_width(active_width, step); let v_shift = &v[..shift_width]; if dialog_gcd_k2_enabled() { - - let s2 = dialog_gcd_block_raw_s2(raw_block, block_steps, slot); + // mirror of forward K=2: conditional un-shift (reverse cswap order), + // then uncompute s2 back to |0> (v_active[0] is restored after the + // un-shift to the value s2 was derived from). + let s2 = dialog_gcd_block_raw_s2(raw_block, block_steps, slot); let pairs = v_shift.len().saturating_sub(1); for i in (0..pairs).rev() { if dialog_gcd_skip_zero_edge_tobit_rev_cshift_enabled() && i + 1 == pairs { @@ -3984,9 +4117,13 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_tobitvector_steps_reverse_block borrowed_carries, ); } else if dialog_gcd_fused_branch_bits_enabled() { - + // Fused path: no separate `cmp` ancilla (derives b0_and_b1 from the + // comparator carry). Allocating it would add a dead live-qubit at the + // reverse_branch_bits peak instant, so allocate only on the non-fused + // branch below. See forward lifecycle for the rationale. if dialog_gcd_branch_bits_host_comparator_enabled() { - + // Mirror of the forward path: host the comparator transient on + // the idle future-log slice (same slice the add borrowed above). dialog_gcd_ccx_cmp_gt_truncated_into_width_hosted( b, u_active, @@ -4034,329 +4171,332 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_apply_bitvector_block_lifecycle ) { assert_eq!(x.len(), N); assert_eq!(y.len(), N); - let inplace_raw = dialog_gcd_k2_apply_inplace_raw_block_enabled(); - if inplace_raw { - assert!(raw_block.is_empty()); - } else { - assert_eq!(raw_block.len(), dialog_gcd_raw_block_len()); - } - let inplace_raw0 = if inplace_raw { - Some(b.alloc_qubit()) - } else { - None - }; - - for block in (0..dialog_gcd_compressed_sidecar_blocks()).rev() { - let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); - let block_steps = end - start; - let compressed_block = dialog_gcd_compressed_sidecar_block(compressed_log, start); - let head11_block = dialog_gcd_k5_head11_enabled() - && start == 0 - && block_steps == 5 - && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len(); - let stream_tail3 = dialog_gcd_k5_tail3_top32_stream_apply_enabled() - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len(); - let split_stream_tail3 = - stream_tail3 && dialog_gcd_k5_tail3_top32_split_slot_apply_enabled(); - - b.set_phase("dialog_gcd_compressed_block_apply_decompress_block"); - let raw_frame = inplace_raw0.map(|raw0| { - dialog_gcd_k2_pair_inplace_decompress_block(b, compressed_block, raw0, end - start) - }); - let stream_head11_pairs = dialog_gcd_k5_head11_stream_pair_apply_enabled() - && raw_frame.is_none() - && head11_block; - let split_head11_pair_shift = stream_head11_pairs - && dialog_gcd_k5_head11_split_pair_shift_apply_enabled(); - let stream_k5_pairs = dialog_gcd_k5_stream_pair_apply_enabled() - && raw_frame.is_none() - && !stream_tail3 - && !head11_block - && block_steps == 5 - && compressed_block.len() == 12; - if stream_head11_pairs { - dialog_gcd_k5_head11_decompress_block_to_data( - b, - compressed_block, - raw_block, - true, - ); - } else if stream_k5_pairs { - dialog_gcd_k5_decompress_block_to_data(b, compressed_block, raw_block, true); - } else if raw_frame.is_none() && !stream_tail3 { - dialog_gcd_copy_compressed_block_to_raw(b, compressed_block, raw_block, end - start); - } - if head11_block && !stream_head11_pairs { - b.free(raw_block[1]); - } - let released_code_bits = if !stream_tail3 - && raw_frame.is_none() - && dialog_gcd_apply_replay_swap_host_enabled() - { - let requested = if (block_steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS) - || ((dialog_gcd_k5_tail3_fixed_last_enabled() - || dialog_gcd_k5_tail3_top32_enabled()) - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()) - { - dialog_gcd_k5_release_decoded_tail_bits() - } else { - dialog_gcd_k5_release_decoded_block_bits() - }; - requested.min(compressed_block.len()) - } else { - 0 - }; - let retained_code_bits = compressed_block.len() - released_code_bits; - let released_code = &compressed_block[retained_code_bits..]; - b.free_vec(released_code); - let raw = raw_frame.as_ref().map_or(raw_block, |frame| &frame[..]); - if stream_head11_pairs || stream_k5_pairs { - dialog_gcd_k5_stream_pairs_start(b, raw); - } - let stream_clean_scratch = if stream_tail3 { - dialog_gcd_k5_tail3_top32_stream_scratch(raw) - } else { - Vec::new() - }; - let stream_dynamic_raw = if stream_tail3 { - dialog_gcd_k5_tail3_top32_stream_dynamic(raw) - } else { - Vec::new() - }; - if stream_tail3 { - b.free_vec(&stream_dynamic_raw); - } - let scale_release_bits = if stream_tail3 { - 0 - } else { - dialog_gcd_k5_release_scale_bits().min(retained_code_bits) - }; - let scale_released_code = - &compressed_block[retained_code_bits - scale_release_bits..retained_code_bits]; - let shift_clean_code = if stream_tail3 { - stream_clean_scratch.as_slice() - } else { - &compressed_block[..retained_code_bits - scale_release_bits] - }; - let tail_clean_scratch = if dialog_gcd_k5_tail_pair1_enabled() - && end - start == 2 - && compressed_block.len() == 1 - { - raw.iter() - .enumerate() - .filter_map(|(index, &q)| { - (!matches!(index, 0 | 2 | 10 | 11)).then_some(q) - }) - .chain(compressed_block.iter().copied()) - .collect::>() - } else { - Vec::new() - }; - let mut partial_raw_clean_scratch = if stream_tail3 { - Vec::new() - } else { - dialog_gcd_k5_partial_raw_clean_scratch(raw, block_steps) - }; - let partial_release = - dialog_gcd_k5_partial_raw_release_bits().min(partial_raw_clean_scratch.len()); - let released_partial_raw = - partial_raw_clean_scratch.split_off(partial_raw_clean_scratch.len() - partial_release); - b.free_vec(&released_partial_raw); - let mut combined_clean_scratch = Vec::new(); - if stream_tail3 { - combined_clean_scratch.extend_from_slice(&stream_clean_scratch); - } else if !inplace_raw && dialog_gcd_apply_replay_swap_host_enabled() { - combined_clean_scratch.extend_from_slice(&compressed_block[..retained_code_bits]); - combined_clean_scratch.extend_from_slice(&partial_raw_clean_scratch); - } - let block_clean_scratch = if !tail_clean_scratch.is_empty() { - tail_clean_scratch.as_slice() - } else { - combined_clean_scratch.as_slice() - }; - - for step in (start..end).rev() { - let slot = step - start; - let top32_final_s2_const = stream_tail3 - && split_stream_tail3 - && dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() - && slot + 1 == block_steps; - let constant_tail_stored_steps = - dialog_gcd_k5_constant_tail_stored_steps(block_steps); - if constant_tail_stored_steps.is_some_and(|stored_steps| slot >= stored_steps) { - let stored_steps = constant_tail_stored_steps.expect("checked above"); - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_scale_release"); - b.free_vec(scale_released_code); - } - b.set_phase("dialog_gcd_compressed_block_apply_tail7_constant_double_y"); - if dialog_gcd_k5_fixed_tail_apply_enabled() { - dialog_gcd_fixed_double_twice_y(b, y, p); - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_scale_reacquire"); - b.reacquire_vec(scale_released_code); - } - continue; - } - let one = raw[12]; - if slot + 1 == block_steps { - b.x(one); - } - if dialog_gcd_apply_fused_fold_enabled() { - dialog_gcd_fused_double_y_at_step(b, y, p, one, Some(step)); - } else { - mod_double_inplace_fast(b, y, p); - cmod_double_inplace_lazy(b, y, p, one); - } - if slot == stored_steps { - b.x(one); - } - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_scale_reacquire"); - b.reacquire_vec(scale_released_code); - } - continue; - } - if stream_tail3 { - if split_stream_tail3 { - if !top32_final_s2_const { - let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); - b.reacquire_vec(&shift_raw); - dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( - b, - compressed_block, - raw, - slot, - ); - } - } else { - let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); - b.reacquire_vec(&slot_raw); - dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( - b, - compressed_block, - raw, - slot, - ); - } - } - let split_head11_pair_slot = split_head11_pair_shift && slot < 4; - let split_head11_permute_shift = split_head11_pair_slot - && slot == 0 - && dialog_gcd_k5_head11_pair01_s2_permute_apply_enabled(); - let split_head11_borrow_pair23_shift = split_head11_pair_slot - && slot == 2 - && dialog_gcd_k5_head11_pair23_s2_borrow_pair01_apply_enabled(); - let split_head11_open_for_shift = split_head11_pair_slot - && matches!(slot, 0 | 2) - && !split_head11_permute_shift - && !split_head11_borrow_pair23_shift; - if stream_k5_pairs || (stream_head11_pairs && !split_head11_pair_shift) { - dialog_gcd_k5_stream_pairs_before_slot(b, raw, slot); - } - if split_head11_open_for_shift { - dialog_gcd_k5_head11_open_pair_for_slot(b, raw, slot); - } - if split_head11_permute_shift { - dialog_gcd_k5_head11_pair01_expose_s2(b, raw); - } - if split_head11_borrow_pair23_shift { - dialog_gcd_k5_head11_pair01_zero_lane(b, raw); - dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); - } - let b0 = raw[2 * slot]; - let b0_and_b1 = if head11_block && slot == 0 { - raw[0] - } else { - raw[2 * slot + 1] - }; - - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_scale_release"); - b.free_vec(scale_released_code); - } - b.set_phase("dialog_gcd_compressed_block_apply_double_y"); - let apply_k2 = dialog_gcd_k2_enabled() - && std::env::var("DIALOG_GCD_K2_NO_APPLY").ok().as_deref() != Some("1"); - let free_clean_code = !inplace_raw - && dialog_gcd_apply_replay_swap_host_enabled() - && dialog_gcd_k5_free_clean_block_during_shift_enabled(); - if free_clean_code { - b.free_vec(shift_clean_code); - } - if top32_final_s2_const && apply_k2 { - dialog_gcd_fixed_double_twice_y(b, y, p); - } else if apply_k2 && dialog_gcd_apply_fused_fold_enabled() { - - let s2 = if split_head11_borrow_pair23_shift { - raw[1] - } else { - dialog_gcd_block_raw_s2(raw, block_steps, slot) - }; - dialog_gcd_fused_double_y_at_step(b, y, p, s2, Some(step)); - } else { - mod_double_inplace_fast(b, y, p); - if apply_k2 { - - let s2 = if split_head11_borrow_pair23_shift { - raw[1] - } else { - dialog_gcd_block_raw_s2(raw, block_steps, slot) - }; - cmod_double_inplace_lazy(b, y, p, s2); - } - } - if free_clean_code { - b.reacquire_vec(shift_clean_code); - } - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_scale_reacquire"); - b.reacquire_vec(scale_released_code); - } - if split_head11_permute_shift { - dialog_gcd_k5_head11_pair01_unexpose_s2(b, raw); - } - if split_head11_borrow_pair23_shift { - dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); - dialog_gcd_k5_head11_pair01_unzero_lane(b, raw); - } - if split_stream_tail3 { - if top32_final_s2_const { - b.reacquire(raw[2 * slot]); - dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( - b, - compressed_block, - raw, - &[2 * slot], - ); - } else { - let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); - dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( - b, - compressed_block, - raw, - slot, - ); - b.free_vec(&shift_raw); - let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); - b.reacquire_vec(&branch_raw); - dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( - b, - compressed_block, - raw, - slot, - ); - } - } - if split_head11_pair_slot && !split_head11_open_for_shift { - dialog_gcd_k5_head11_open_pair_for_slot(b, raw, slot); - } + let inplace_raw = dialog_gcd_k2_apply_inplace_raw_block_enabled(); + if inplace_raw { + assert!(raw_block.is_empty()); + } else { + assert_eq!(raw_block.len(), dialog_gcd_raw_block_len()); + } + let inplace_raw0 = if inplace_raw { + Some(b.alloc_qubit()) + } else { + None + }; - b.set_phase("dialog_gcd_compressed_block_apply_cadd"); - if dialog_gcd_raw_apply_materialized_special_add_enabled() { + for block in (0..dialog_gcd_compressed_sidecar_blocks()).rev() { + let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); + let block_steps = end - start; + let compressed_block = dialog_gcd_compressed_sidecar_block(compressed_log, start); + let head11_block = dialog_gcd_k5_head11_enabled() + && start == 0 + && block_steps == 5 + && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len(); + let stream_tail3 = dialog_gcd_k5_tail3_top32_stream_apply_enabled() + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len(); + let split_stream_tail3 = + stream_tail3 && dialog_gcd_k5_tail3_top32_split_slot_apply_enabled(); + + b.set_phase("dialog_gcd_compressed_block_apply_decompress_block"); + let raw_frame = inplace_raw0.map(|raw0| { + dialog_gcd_k2_pair_inplace_decompress_block(b, compressed_block, raw0, end - start) + }); + let stream_head11_pairs = dialog_gcd_k5_head11_stream_pair_apply_enabled() + && raw_frame.is_none() + && head11_block; + let split_head11_pair_shift = stream_head11_pairs + && dialog_gcd_k5_head11_split_pair_shift_apply_enabled(); + let stream_k5_pairs = dialog_gcd_k5_stream_pair_apply_enabled() + && raw_frame.is_none() + && !stream_tail3 + && !head11_block + && block_steps == 5 + && compressed_block.len() == 12; + if stream_head11_pairs { + dialog_gcd_k5_head11_decompress_block_to_data( + b, + compressed_block, + raw_block, + true, + ); + } else if stream_k5_pairs { + dialog_gcd_k5_decompress_block_to_data(b, compressed_block, raw_block, true); + } else if raw_frame.is_none() && !stream_tail3 { + dialog_gcd_copy_compressed_block_to_raw(b, compressed_block, raw_block, end - start); + } + if head11_block && !stream_head11_pairs { + b.free(raw_block[1]); + } + let released_code_bits = if !stream_tail3 + && raw_frame.is_none() + && dialog_gcd_apply_replay_swap_host_enabled() + { + let requested = if (block_steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS) + || ((dialog_gcd_k5_tail3_fixed_last_enabled() + || dialog_gcd_k5_tail3_top32_enabled()) + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()) + { + dialog_gcd_k5_release_decoded_tail_bits() + } else { + dialog_gcd_k5_release_decoded_block_bits() + }; + requested.min(compressed_block.len()) + } else { + 0 + }; + let retained_code_bits = compressed_block.len() - released_code_bits; + let released_code = &compressed_block[retained_code_bits..]; + b.free_vec(released_code); + let raw = raw_frame.as_ref().map_or(raw_block, |frame| &frame[..]); + if stream_head11_pairs || stream_k5_pairs { + dialog_gcd_k5_stream_pairs_start(b, raw); + } + let stream_clean_scratch = if stream_tail3 { + dialog_gcd_k5_tail3_top32_stream_scratch(raw) + } else { + Vec::new() + }; + let stream_dynamic_raw = if stream_tail3 { + dialog_gcd_k5_tail3_top32_stream_dynamic(raw) + } else { + Vec::new() + }; + if stream_tail3 { + b.free_vec(&stream_dynamic_raw); + } + let scale_release_bits = if stream_tail3 { + 0 + } else { + dialog_gcd_k5_release_scale_bits().min(retained_code_bits) + }; + let scale_released_code = + &compressed_block[retained_code_bits - scale_release_bits..retained_code_bits]; + let shift_clean_code = if stream_tail3 { + stream_clean_scratch.as_slice() + } else { + &compressed_block[..retained_code_bits - scale_release_bits] + }; + let tail_clean_scratch = if dialog_gcd_k5_tail_pair1_enabled() + && end - start == 2 + && compressed_block.len() == 1 + { + raw.iter() + .enumerate() + .filter_map(|(index, &q)| { + (!matches!(index, 0 | 2 | 10 | 11)).then_some(q) + }) + .chain(compressed_block.iter().copied()) + .collect::>() + } else { + Vec::new() + }; + let mut partial_raw_clean_scratch = if stream_tail3 { + Vec::new() + } else { + dialog_gcd_k5_partial_raw_clean_scratch(raw, block_steps) + }; + let partial_release = + dialog_gcd_k5_partial_raw_release_bits().min(partial_raw_clean_scratch.len()); + let released_partial_raw = + partial_raw_clean_scratch.split_off(partial_raw_clean_scratch.len() - partial_release); + b.free_vec(&released_partial_raw); + let mut combined_clean_scratch = Vec::new(); + if stream_tail3 { + combined_clean_scratch.extend_from_slice(&stream_clean_scratch); + } else if !inplace_raw && dialog_gcd_apply_replay_swap_host_enabled() { + combined_clean_scratch.extend_from_slice(&compressed_block[..retained_code_bits]); + combined_clean_scratch.extend_from_slice(&partial_raw_clean_scratch); + } + let block_clean_scratch = if !tail_clean_scratch.is_empty() { + tail_clean_scratch.as_slice() + } else { + combined_clean_scratch.as_slice() + }; + + for step in (start..end).rev() { + let slot = step - start; + let top32_final_s2_const = stream_tail3 + && split_stream_tail3 + && dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() + && slot + 1 == block_steps; + let constant_tail_stored_steps = + dialog_gcd_k5_constant_tail_stored_steps(block_steps); + if constant_tail_stored_steps.is_some_and(|stored_steps| slot >= stored_steps) { + let stored_steps = constant_tail_stored_steps.expect("checked above"); + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_scale_release"); + b.free_vec(scale_released_code); + } + b.set_phase("dialog_gcd_compressed_block_apply_tail7_constant_double_y"); + if dialog_gcd_k5_fixed_tail_apply_enabled() { + dialog_gcd_fixed_double_twice_y(b, y, p); + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_scale_reacquire"); + b.reacquire_vec(scale_released_code); + } + continue; + } + let one = raw[12]; + if slot + 1 == block_steps { + b.x(one); + } + if dialog_gcd_apply_fused_fold_enabled() { + dialog_gcd_fused_double_y_at_step(b, y, p, one, Some(step)); + } else { + mod_double_inplace_fast(b, y, p); + cmod_double_inplace_lazy(b, y, p, one); + } + if slot == stored_steps { + b.x(one); + } + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_scale_reacquire"); + b.reacquire_vec(scale_released_code); + } + continue; + } + if stream_tail3 { + if split_stream_tail3 { + if !top32_final_s2_const { + let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); + b.reacquire_vec(&shift_raw); + dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( + b, + compressed_block, + raw, + slot, + ); + } + } else { + let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); + b.reacquire_vec(&slot_raw); + dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( + b, + compressed_block, + raw, + slot, + ); + } + } + let split_head11_pair_slot = split_head11_pair_shift && slot < 4; + let split_head11_permute_shift = split_head11_pair_slot + && slot == 0 + && dialog_gcd_k5_head11_pair01_s2_permute_apply_enabled(); + let split_head11_borrow_pair23_shift = split_head11_pair_slot + && slot == 2 + && dialog_gcd_k5_head11_pair23_s2_borrow_pair01_apply_enabled(); + let split_head11_open_for_shift = split_head11_pair_slot + && matches!(slot, 0 | 2) + && !split_head11_permute_shift + && !split_head11_borrow_pair23_shift; + if stream_k5_pairs || (stream_head11_pairs && !split_head11_pair_shift) { + dialog_gcd_k5_stream_pairs_before_slot(b, raw, slot); + } + if split_head11_open_for_shift { + dialog_gcd_k5_head11_open_pair_for_slot(b, raw, slot); + } + if split_head11_permute_shift { + dialog_gcd_k5_head11_pair01_expose_s2(b, raw); + } + if split_head11_borrow_pair23_shift { + dialog_gcd_k5_head11_pair01_zero_lane(b, raw); + dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); + } + let b0 = raw[2 * slot]; + let b0_and_b1 = if head11_block && slot == 0 { + raw[0] + } else { + raw[2 * slot + 1] + }; + + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_scale_release"); + b.free_vec(scale_released_code); + } + b.set_phase("dialog_gcd_compressed_block_apply_double_y"); + let apply_k2 = dialog_gcd_k2_enabled() + && std::env::var("DIALOG_GCD_K2_NO_APPLY").ok().as_deref() != Some("1"); + let free_clean_code = !inplace_raw + && dialog_gcd_apply_replay_swap_host_enabled() + && dialog_gcd_k5_free_clean_block_during_shift_enabled(); + if free_clean_code { + b.free_vec(shift_clean_code); + } + if top32_final_s2_const && apply_k2 { + dialog_gcd_fixed_double_twice_y(b, y, p); + } else if apply_k2 && dialog_gcd_apply_fused_fold_enabled() { + // Fuse mod_double_inplace_fast + cmod_double_inplace_lazy into a + // single shared carry chain (value-identical; see fn doc). + let s2 = if split_head11_borrow_pair23_shift { + raw[1] + } else { + dialog_gcd_block_raw_s2(raw, block_steps, slot) + }; + dialog_gcd_fused_double_y_at_step(b, y, p, s2, Some(step)); + } else { + mod_double_inplace_fast(b, y, p); + if apply_k2 { + // mirror the forward K=2 second shift: conditional 2nd double of y. + // MUST use the lazy (Solinas, truncated) controlled double so it + // composes with the uncontrolled mod_double_inplace_fast above. + let s2 = if split_head11_borrow_pair23_shift { + raw[1] + } else { + dialog_gcd_block_raw_s2(raw, block_steps, slot) + }; + cmod_double_inplace_lazy(b, y, p, s2); + } + } + if free_clean_code { + b.reacquire_vec(shift_clean_code); + } + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_scale_reacquire"); + b.reacquire_vec(scale_released_code); + } + if split_head11_permute_shift { + dialog_gcd_k5_head11_pair01_unexpose_s2(b, raw); + } + if split_head11_borrow_pair23_shift { + dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); + dialog_gcd_k5_head11_pair01_unzero_lane(b, raw); + } + if split_stream_tail3 { + if top32_final_s2_const { + b.reacquire(raw[2 * slot]); + dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( + b, + compressed_block, + raw, + &[2 * slot], + ); + } else { + let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); + dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( + b, + compressed_block, + raw, + slot, + ); + b.free_vec(&shift_raw); + let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); + b.reacquire_vec(&branch_raw); + dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( + b, + compressed_block, + raw, + slot, + ); + } + } + if split_head11_pair_slot && !split_head11_open_for_shift { + dialog_gcd_k5_head11_open_pair_for_slot(b, raw, slot); + } + + b.set_phase("dialog_gcd_compressed_block_apply_cadd"); + if dialog_gcd_raw_apply_materialized_special_add_enabled() { let owned_clean_scratch = if inplace_raw { b.alloc_qubits(dialog_gcd_block_bits()) } else { @@ -4385,79 +4525,79 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_apply_bitvector_block_lifecycle cmod_add_qq_lowq(b, y, x, b0, p); } - b.set_phase("dialog_gcd_compressed_block_apply_cswap"); - if !top32_final_s2_const { - for (&xi, &yi) in x.iter().zip(y.iter()) { - cswap(b, b0_and_b1, xi, yi); - } - } - if stream_tail3 { - if split_stream_tail3 { - if top32_final_s2_const { - dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( - b, - compressed_block, - raw, - &[2 * slot], - ); - b.free(raw[2 * slot]); - } else { - let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); - dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( - b, - compressed_block, - raw, - slot, - ); - b.free_vec(&branch_raw); - } - } else { - let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); - dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( - b, - compressed_block, - raw, - slot, - ); - b.free_vec(&slot_raw); - } - } - if split_head11_pair_slot { - dialog_gcd_k5_head11_close_pair_for_slot(b, raw, slot); - } else if stream_k5_pairs || stream_head11_pairs { - dialog_gcd_k5_stream_pairs_after_slot_forward(b, raw, slot); - } - } - - if !released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reacquire_block"); - b.reacquire_vec(released_code); - } - if !released_partial_raw.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reacquire_partial_raw"); - b.reacquire_vec(&released_partial_raw); - } - if head11_block && !stream_head11_pairs { - b.reacquire(raw_block[1]); - } - b.set_phase("dialog_gcd_compressed_block_apply_clear_block_copy"); - if stream_tail3 { - b.reacquire_vec(&stream_dynamic_raw); - } else if stream_head11_pairs { - dialog_gcd_k5_stream_pairs_finish(b, raw_block); - dialog_gcd_k5_head11_compress_data_to_block( - b, - compressed_block, - raw_block, - true, - ); - } else if stream_k5_pairs { - dialog_gcd_k5_stream_pairs_finish(b, raw_block); - dialog_gcd_k5_compress_data_to_block(b, compressed_block, raw_block, true); - } else if let Some(raw0) = inplace_raw0 { - dialog_gcd_k2_pair_inplace_clear_block(b, compressed_block, raw0, end - start); - } else { - dialog_gcd_clear_raw_block_copy(b, compressed_block, raw_block, end - start); + b.set_phase("dialog_gcd_compressed_block_apply_cswap"); + if !top32_final_s2_const { + for (&xi, &yi) in x.iter().zip(y.iter()) { + cswap(b, b0_and_b1, xi, yi); + } + } + if stream_tail3 { + if split_stream_tail3 { + if top32_final_s2_const { + dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( + b, + compressed_block, + raw, + &[2 * slot], + ); + b.free(raw[2 * slot]); + } else { + let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); + dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( + b, + compressed_block, + raw, + slot, + ); + b.free_vec(&branch_raw); + } + } else { + let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); + dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( + b, + compressed_block, + raw, + slot, + ); + b.free_vec(&slot_raw); + } + } + if split_head11_pair_slot { + dialog_gcd_k5_head11_close_pair_for_slot(b, raw, slot); + } else if stream_k5_pairs || stream_head11_pairs { + dialog_gcd_k5_stream_pairs_after_slot_forward(b, raw, slot); + } + } + + if !released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reacquire_block"); + b.reacquire_vec(released_code); + } + if !released_partial_raw.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reacquire_partial_raw"); + b.reacquire_vec(&released_partial_raw); + } + if head11_block && !stream_head11_pairs { + b.reacquire(raw_block[1]); + } + b.set_phase("dialog_gcd_compressed_block_apply_clear_block_copy"); + if stream_tail3 { + b.reacquire_vec(&stream_dynamic_raw); + } else if stream_head11_pairs { + dialog_gcd_k5_stream_pairs_finish(b, raw_block); + dialog_gcd_k5_head11_compress_data_to_block( + b, + compressed_block, + raw_block, + true, + ); + } else if stream_k5_pairs { + dialog_gcd_k5_stream_pairs_finish(b, raw_block); + dialog_gcd_k5_compress_data_to_block(b, compressed_block, raw_block, true); + } else if let Some(raw0) = inplace_raw0 { + dialog_gcd_k2_pair_inplace_clear_block(b, compressed_block, raw0, end - start); + } else { + dialog_gcd_clear_raw_block_copy(b, compressed_block, raw_block, end - start); } } @@ -4488,247 +4628,247 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_apply_bitvector_reverse_exact_b None }; - for block in 0..dialog_gcd_compressed_sidecar_blocks() { - let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); - let block_steps = end - start; - let compressed_block = dialog_gcd_compressed_sidecar_block(compressed_log, start); - let head11_block = dialog_gcd_k5_head11_enabled() - && start == 0 - && block_steps == 5 - && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len(); - let stream_tail3 = dialog_gcd_k5_tail3_top32_stream_apply_enabled() - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len(); - let split_stream_tail3 = - stream_tail3 && dialog_gcd_k5_tail3_top32_split_slot_apply_enabled(); - - b.set_phase("dialog_gcd_compressed_block_apply_reverse_decompress_block"); - let raw_frame = inplace_raw0.map(|raw0| { - dialog_gcd_k2_pair_inplace_decompress_block(b, compressed_block, raw0, end - start) - }); - let stream_head11_pairs = dialog_gcd_k5_head11_stream_pair_apply_enabled() - && raw_frame.is_none() - && head11_block; - let split_head11_pair_shift = stream_head11_pairs - && dialog_gcd_k5_head11_split_pair_shift_apply_enabled(); - let stream_k5_pairs = dialog_gcd_k5_stream_pair_apply_enabled() - && raw_frame.is_none() - && !stream_tail3 - && !head11_block - && block_steps == 5 - && compressed_block.len() == 12; - if stream_head11_pairs { - dialog_gcd_k5_head11_decompress_block_to_data( - b, - compressed_block, - raw_block, - true, - ); - } else if stream_k5_pairs { - dialog_gcd_k5_decompress_block_to_data(b, compressed_block, raw_block, true); - } else if raw_frame.is_none() && !stream_tail3 { - dialog_gcd_copy_compressed_block_to_raw(b, compressed_block, raw_block, end - start); - } - if head11_block && !stream_head11_pairs { - b.free(raw_block[1]); - } - let released_code_bits = if !stream_tail3 - && raw_frame.is_none() - && dialog_gcd_apply_replay_swap_host_enabled() - { - let requested = if (block_steps == 6 - && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS) - || ((dialog_gcd_k5_tail3_fixed_last_enabled() - || dialog_gcd_k5_tail3_top32_enabled()) - && block_steps == 3 - && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()) - { - dialog_gcd_k5_release_decoded_tail_bits() - } else { - dialog_gcd_k5_release_decoded_block_bits() - }; - requested.min(compressed_block.len()) - } else { - 0 - }; - let retained_code_bits = compressed_block.len() - released_code_bits; - let released_code = &compressed_block[retained_code_bits..]; - b.free_vec(released_code); - let raw = raw_frame.as_ref().map_or(raw_block, |frame| &frame[..]); - if stream_head11_pairs || stream_k5_pairs { - dialog_gcd_k5_stream_pairs_start(b, raw); - } - let stream_clean_scratch = if stream_tail3 { - dialog_gcd_k5_tail3_top32_stream_scratch(raw) - } else { - Vec::new() - }; - let stream_dynamic_raw = if stream_tail3 { - dialog_gcd_k5_tail3_top32_stream_dynamic(raw) - } else { - Vec::new() - }; - if stream_tail3 { - b.free_vec(&stream_dynamic_raw); - } - let scale_release_bits = if stream_tail3 { - 0 - } else { - dialog_gcd_k5_release_scale_bits().min(retained_code_bits) - }; - let scale_released_code = - &compressed_block[retained_code_bits - scale_release_bits..retained_code_bits]; - let shift_clean_code = if stream_tail3 { - stream_clean_scratch.as_slice() - } else { - &compressed_block[..retained_code_bits - scale_release_bits] - }; - let tail_clean_scratch = if dialog_gcd_k5_tail_pair1_enabled() - && end - start == 2 - && compressed_block.len() == 1 - { - raw.iter() - .enumerate() - .filter_map(|(index, &q)| { - (!matches!(index, 0 | 2 | 10 | 11)).then_some(q) - }) - .chain(compressed_block.iter().copied()) - .collect::>() - } else { - Vec::new() - }; - let mut partial_raw_clean_scratch = if stream_tail3 { - Vec::new() - } else { - dialog_gcd_k5_partial_raw_clean_scratch(raw, block_steps) - }; - let partial_release = - dialog_gcd_k5_partial_raw_release_bits().min(partial_raw_clean_scratch.len()); - let released_partial_raw = - partial_raw_clean_scratch.split_off(partial_raw_clean_scratch.len() - partial_release); - b.free_vec(&released_partial_raw); - let mut combined_clean_scratch = Vec::new(); - if stream_tail3 { - combined_clean_scratch.extend_from_slice(&stream_clean_scratch); - } else if !inplace_raw && dialog_gcd_apply_replay_swap_host_enabled() { - combined_clean_scratch.extend_from_slice(&compressed_block[..retained_code_bits]); - combined_clean_scratch.extend_from_slice(&partial_raw_clean_scratch); - } - let block_clean_scratch = if !tail_clean_scratch.is_empty() { - tail_clean_scratch.as_slice() - } else { - combined_clean_scratch.as_slice() - }; - - for step in start..end { - let slot = step - start; - let top32_final_s2_const = stream_tail3 - && split_stream_tail3 - && dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() - && slot + 1 == block_steps; - let constant_tail_stored_steps = - dialog_gcd_k5_constant_tail_stored_steps(block_steps); - if constant_tail_stored_steps.is_some_and(|stored_steps| slot >= stored_steps) { - let stored_steps = constant_tail_stored_steps.expect("checked above"); - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_release"); - b.free_vec(scale_released_code); - } - b.set_phase( - "dialog_gcd_compressed_block_apply_reverse_tail7_constant_halve_y", - ); - if dialog_gcd_k5_fixed_tail_apply_enabled() { - dialog_gcd_fixed_halve_twice_y(b, y, p); - if !scale_released_code.is_empty() { - b.set_phase( - "dialog_gcd_compressed_block_apply_reverse_scale_reacquire", - ); - b.reacquire_vec(scale_released_code); - } - continue; - } - let one = raw[12]; - if slot == stored_steps { - b.x(one); - } - if dialog_gcd_apply_fused_fold_enabled() - && std::env::var("DIALOG_GCD_FUSE_HALVE_OFF").ok().as_deref() != Some("1") - { - dialog_gcd_fused_halve_y_at_step(b, y, p, one, Some(step)); - } else { - mod_halve_inplace_fast(b, y, p); - cmod_halve_inplace_lazy(b, y, p, one); - } - if slot + 1 == block_steps { - b.x(one); - } - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_reacquire"); - b.reacquire_vec(scale_released_code); - } - continue; - } - if stream_tail3 { - if split_stream_tail3 { - if top32_final_s2_const { - b.reacquire(raw[2 * slot]); - dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( - b, - compressed_block, - raw, - &[2 * slot], - ); - } else { - let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); - b.reacquire_vec(&branch_raw); - dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( - b, - compressed_block, - raw, - slot, - ); - } - } else { - let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); - b.reacquire_vec(&slot_raw); - dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( - b, - compressed_block, - raw, - slot, - ); - } - } - let split_head11_pair_slot = split_head11_pair_shift && slot < 4; - let split_head11_permute_shift = split_head11_pair_slot - && slot == 0 - && dialog_gcd_k5_head11_pair01_s2_permute_apply_enabled(); - let split_head11_borrow_pair23_shift = split_head11_pair_slot - && slot == 2 - && dialog_gcd_k5_head11_pair23_s2_borrow_pair01_apply_enabled(); - let split_head11_keep_open_for_shift = split_head11_pair_slot - && matches!(slot, 0 | 2) - && !split_head11_permute_shift - && !split_head11_borrow_pair23_shift; - if stream_k5_pairs || (stream_head11_pairs && !split_head11_pair_shift) { - dialog_gcd_k5_stream_pairs_before_slot_reverse(b, raw, slot); - } - if split_head11_pair_slot { - dialog_gcd_k5_head11_open_pair_for_slot(b, raw, slot); - } - let b0 = raw[2 * slot]; - let b0_and_b1 = if head11_block && slot == 0 { - raw[0] - } else { - raw[2 * slot + 1] - }; - - b.set_phase("dialog_gcd_compressed_block_apply_reverse_cswap"); - if !top32_final_s2_const { - for (&xi, &yi) in x.iter().zip(y.iter()) { - cswap(b, b0_and_b1, xi, yi); - } - } + for block in 0..dialog_gcd_compressed_sidecar_blocks() { + let (start, end) = dialog_gcd_compressed_sidecar_block_step_range(block); + let block_steps = end - start; + let compressed_block = dialog_gcd_compressed_sidecar_block(compressed_log, start); + let head11_block = dialog_gcd_k5_head11_enabled() + && start == 0 + && block_steps == 5 + && compressed_block.len() == DIALOG_GCD_K5_HEAD11_DATA_WIRES.len(); + let stream_tail3 = dialog_gcd_k5_tail3_top32_stream_apply_enabled() + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len(); + let split_stream_tail3 = + stream_tail3 && dialog_gcd_k5_tail3_top32_split_slot_apply_enabled(); + + b.set_phase("dialog_gcd_compressed_block_apply_reverse_decompress_block"); + let raw_frame = inplace_raw0.map(|raw0| { + dialog_gcd_k2_pair_inplace_decompress_block(b, compressed_block, raw0, end - start) + }); + let stream_head11_pairs = dialog_gcd_k5_head11_stream_pair_apply_enabled() + && raw_frame.is_none() + && head11_block; + let split_head11_pair_shift = stream_head11_pairs + && dialog_gcd_k5_head11_split_pair_shift_apply_enabled(); + let stream_k5_pairs = dialog_gcd_k5_stream_pair_apply_enabled() + && raw_frame.is_none() + && !stream_tail3 + && !head11_block + && block_steps == 5 + && compressed_block.len() == 12; + if stream_head11_pairs { + dialog_gcd_k5_head11_decompress_block_to_data( + b, + compressed_block, + raw_block, + true, + ); + } else if stream_k5_pairs { + dialog_gcd_k5_decompress_block_to_data(b, compressed_block, raw_block, true); + } else if raw_frame.is_none() && !stream_tail3 { + dialog_gcd_copy_compressed_block_to_raw(b, compressed_block, raw_block, end - start); + } + if head11_block && !stream_head11_pairs { + b.free(raw_block[1]); + } + let released_code_bits = if !stream_tail3 + && raw_frame.is_none() + && dialog_gcd_apply_replay_swap_host_enabled() + { + let requested = if (block_steps == 6 + && compressed_block.len() == DIALOG_GCD_K5_TAIL6_GRAPH9_CODE_BITS) + || ((dialog_gcd_k5_tail3_fixed_last_enabled() + || dialog_gcd_k5_tail3_top32_enabled()) + && block_steps == 3 + && compressed_block.len() == DIALOG_GCD_K5_TAIL3_DATA_WIRES.len()) + { + dialog_gcd_k5_release_decoded_tail_bits() + } else { + dialog_gcd_k5_release_decoded_block_bits() + }; + requested.min(compressed_block.len()) + } else { + 0 + }; + let retained_code_bits = compressed_block.len() - released_code_bits; + let released_code = &compressed_block[retained_code_bits..]; + b.free_vec(released_code); + let raw = raw_frame.as_ref().map_or(raw_block, |frame| &frame[..]); + if stream_head11_pairs || stream_k5_pairs { + dialog_gcd_k5_stream_pairs_start(b, raw); + } + let stream_clean_scratch = if stream_tail3 { + dialog_gcd_k5_tail3_top32_stream_scratch(raw) + } else { + Vec::new() + }; + let stream_dynamic_raw = if stream_tail3 { + dialog_gcd_k5_tail3_top32_stream_dynamic(raw) + } else { + Vec::new() + }; + if stream_tail3 { + b.free_vec(&stream_dynamic_raw); + } + let scale_release_bits = if stream_tail3 { + 0 + } else { + dialog_gcd_k5_release_scale_bits().min(retained_code_bits) + }; + let scale_released_code = + &compressed_block[retained_code_bits - scale_release_bits..retained_code_bits]; + let shift_clean_code = if stream_tail3 { + stream_clean_scratch.as_slice() + } else { + &compressed_block[..retained_code_bits - scale_release_bits] + }; + let tail_clean_scratch = if dialog_gcd_k5_tail_pair1_enabled() + && end - start == 2 + && compressed_block.len() == 1 + { + raw.iter() + .enumerate() + .filter_map(|(index, &q)| { + (!matches!(index, 0 | 2 | 10 | 11)).then_some(q) + }) + .chain(compressed_block.iter().copied()) + .collect::>() + } else { + Vec::new() + }; + let mut partial_raw_clean_scratch = if stream_tail3 { + Vec::new() + } else { + dialog_gcd_k5_partial_raw_clean_scratch(raw, block_steps) + }; + let partial_release = + dialog_gcd_k5_partial_raw_release_bits().min(partial_raw_clean_scratch.len()); + let released_partial_raw = + partial_raw_clean_scratch.split_off(partial_raw_clean_scratch.len() - partial_release); + b.free_vec(&released_partial_raw); + let mut combined_clean_scratch = Vec::new(); + if stream_tail3 { + combined_clean_scratch.extend_from_slice(&stream_clean_scratch); + } else if !inplace_raw && dialog_gcd_apply_replay_swap_host_enabled() { + combined_clean_scratch.extend_from_slice(&compressed_block[..retained_code_bits]); + combined_clean_scratch.extend_from_slice(&partial_raw_clean_scratch); + } + let block_clean_scratch = if !tail_clean_scratch.is_empty() { + tail_clean_scratch.as_slice() + } else { + combined_clean_scratch.as_slice() + }; + + for step in start..end { + let slot = step - start; + let top32_final_s2_const = stream_tail3 + && split_stream_tail3 + && dialog_gcd_k5_tail3_top32_final_s2_const_apply_enabled() + && slot + 1 == block_steps; + let constant_tail_stored_steps = + dialog_gcd_k5_constant_tail_stored_steps(block_steps); + if constant_tail_stored_steps.is_some_and(|stored_steps| slot >= stored_steps) { + let stored_steps = constant_tail_stored_steps.expect("checked above"); + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_release"); + b.free_vec(scale_released_code); + } + b.set_phase( + "dialog_gcd_compressed_block_apply_reverse_tail7_constant_halve_y", + ); + if dialog_gcd_k5_fixed_tail_apply_enabled() { + dialog_gcd_fixed_halve_twice_y(b, y, p); + if !scale_released_code.is_empty() { + b.set_phase( + "dialog_gcd_compressed_block_apply_reverse_scale_reacquire", + ); + b.reacquire_vec(scale_released_code); + } + continue; + } + let one = raw[12]; + if slot == stored_steps { + b.x(one); + } + if dialog_gcd_apply_fused_fold_enabled() + && std::env::var("DIALOG_GCD_FUSE_HALVE_OFF").ok().as_deref() != Some("1") + { + dialog_gcd_fused_halve_y_at_step(b, y, p, one, Some(step)); + } else { + mod_halve_inplace_fast(b, y, p); + cmod_halve_inplace_lazy(b, y, p, one); + } + if slot + 1 == block_steps { + b.x(one); + } + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_reacquire"); + b.reacquire_vec(scale_released_code); + } + continue; + } + if stream_tail3 { + if split_stream_tail3 { + if top32_final_s2_const { + b.reacquire(raw[2 * slot]); + dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( + b, + compressed_block, + raw, + &[2 * slot], + ); + } else { + let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); + b.reacquire_vec(&branch_raw); + dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( + b, + compressed_block, + raw, + slot, + ); + } + } else { + let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); + b.reacquire_vec(&slot_raw); + dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( + b, + compressed_block, + raw, + slot, + ); + } + } + let split_head11_pair_slot = split_head11_pair_shift && slot < 4; + let split_head11_permute_shift = split_head11_pair_slot + && slot == 0 + && dialog_gcd_k5_head11_pair01_s2_permute_apply_enabled(); + let split_head11_borrow_pair23_shift = split_head11_pair_slot + && slot == 2 + && dialog_gcd_k5_head11_pair23_s2_borrow_pair01_apply_enabled(); + let split_head11_keep_open_for_shift = split_head11_pair_slot + && matches!(slot, 0 | 2) + && !split_head11_permute_shift + && !split_head11_borrow_pair23_shift; + if stream_k5_pairs || (stream_head11_pairs && !split_head11_pair_shift) { + dialog_gcd_k5_stream_pairs_before_slot_reverse(b, raw, slot); + } + if split_head11_pair_slot { + dialog_gcd_k5_head11_open_pair_for_slot(b, raw, slot); + } + let b0 = raw[2 * slot]; + let b0_and_b1 = if head11_block && slot == 0 { + raw[0] + } else { + raw[2 * slot + 1] + }; + + b.set_phase("dialog_gcd_compressed_block_apply_reverse_cswap"); + if !top32_final_s2_const { + for (&xi, &yi) in x.iter().zip(y.iter()) { + cswap(b, b0_and_b1, xi, yi); + } + } b.set_phase("dialog_gcd_compressed_block_apply_reverse_csub"); if dialog_gcd_raw_apply_reverse_materialized_special_sub_enabled() { @@ -4756,158 +4896,161 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_apply_bitvector_reverse_exact_b } } else if dialog_gcd_raw_apply_reverse_fast_sub_enabled() { cmod_sub_qq(b, y, x, b0, p); - } else { - cmod_sub_qq_lowq(b, y, x, b0, p); - } - if split_head11_pair_slot && !split_head11_keep_open_for_shift { - dialog_gcd_k5_head11_close_pair_for_slot(b, raw, slot); - } - if split_head11_permute_shift { - dialog_gcd_k5_head11_pair01_expose_s2(b, raw); - } - if split_head11_borrow_pair23_shift { - dialog_gcd_k5_head11_pair01_zero_lane(b, raw); - dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); - } - if split_stream_tail3 { - if top32_final_s2_const { - dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( - b, - compressed_block, - raw, - &[2 * slot], - ); - b.free(raw[2 * slot]); - } else { - let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); - dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( - b, - compressed_block, - raw, - slot, - ); - b.free_vec(&branch_raw); - let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); - b.reacquire_vec(&shift_raw); - dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( - b, - compressed_block, - raw, - slot, - ); - } - } - - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_release"); - b.free_vec(scale_released_code); - } - b.set_phase("dialog_gcd_compressed_block_apply_reverse_halve_y"); - let apply_k2 = dialog_gcd_k2_enabled() - && std::env::var("DIALOG_GCD_K2_NO_APPLY").ok().as_deref() != Some("1"); - let free_clean_code = !inplace_raw - && dialog_gcd_apply_replay_swap_host_enabled() - && dialog_gcd_k5_free_clean_block_during_shift_enabled(); - if free_clean_code { - b.free_vec(shift_clean_code); - } - if top32_final_s2_const && apply_k2 { - dialog_gcd_fixed_halve_twice_y(b, y, p); - } else if apply_k2 - && dialog_gcd_apply_fused_fold_enabled() - && std::env::var("DIALOG_GCD_FUSE_HALVE_OFF").ok().as_deref() != Some("1") - { - - let s2 = if split_head11_borrow_pair23_shift { - raw[1] - } else { - dialog_gcd_block_raw_s2(raw, block_steps, slot) - }; - dialog_gcd_fused_halve_y_at_step(b, y, p, s2, Some(step)); - } else { - mod_halve_inplace_fast(b, y, p); - if apply_k2 { - - let s2 = if split_head11_borrow_pair23_shift { - raw[1] - } else { - dialog_gcd_block_raw_s2(raw, block_steps, slot) - }; - cmod_halve_inplace_lazy(b, y, p, s2); - } - } - if free_clean_code { - b.reacquire_vec(shift_clean_code); - } - if !scale_released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_reacquire"); - b.reacquire_vec(scale_released_code); - } - if split_head11_borrow_pair23_shift { - dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); - dialog_gcd_k5_head11_pair01_unzero_lane(b, raw); - } - if split_head11_keep_open_for_shift { - dialog_gcd_k5_head11_close_pair_for_slot(b, raw, slot); - } else if split_head11_permute_shift { - dialog_gcd_k5_head11_pair01_unexpose_s2(b, raw); - } else if !split_head11_pair_slot && (stream_k5_pairs || stream_head11_pairs) { - dialog_gcd_k5_stream_pairs_after_slot_reverse(b, raw, slot); - } - if stream_tail3 { - if split_stream_tail3 { - if !top32_final_s2_const { - let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); - dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( - b, - compressed_block, - raw, - slot, - ); - b.free_vec(&shift_raw); - } - } else { - let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); - dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( - b, - compressed_block, - raw, - slot, - ); - b.free_vec(&slot_raw); - } - } - } - - if !released_code.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reverse_reacquire_block"); - b.reacquire_vec(released_code); - } - if !released_partial_raw.is_empty() { - b.set_phase("dialog_gcd_compressed_block_apply_reverse_reacquire_partial_raw"); - b.reacquire_vec(&released_partial_raw); - } - if head11_block && !stream_head11_pairs { - b.reacquire(raw_block[1]); - } - b.set_phase("dialog_gcd_compressed_block_apply_reverse_clear_block_copy"); - if stream_tail3 { - b.reacquire_vec(&stream_dynamic_raw); - } else if stream_head11_pairs { - dialog_gcd_k5_stream_pairs_finish(b, raw_block); - dialog_gcd_k5_head11_compress_data_to_block( - b, - compressed_block, - raw_block, - true, - ); - } else if stream_k5_pairs { - dialog_gcd_k5_stream_pairs_finish(b, raw_block); - dialog_gcd_k5_compress_data_to_block(b, compressed_block, raw_block, true); - } else if let Some(raw0) = inplace_raw0 { - dialog_gcd_k2_pair_inplace_clear_block(b, compressed_block, raw0, end - start); - } else { - dialog_gcd_clear_raw_block_copy(b, compressed_block, raw_block, end - start); + } else { + cmod_sub_qq_lowq(b, y, x, b0, p); + } + if split_head11_pair_slot && !split_head11_keep_open_for_shift { + dialog_gcd_k5_head11_close_pair_for_slot(b, raw, slot); + } + if split_head11_permute_shift { + dialog_gcd_k5_head11_pair01_expose_s2(b, raw); + } + if split_head11_borrow_pair23_shift { + dialog_gcd_k5_head11_pair01_zero_lane(b, raw); + dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); + } + if split_stream_tail3 { + if top32_final_s2_const { + dialog_gcd_k5_tail3_top32_toggle_raw_indices_from_code( + b, + compressed_block, + raw, + &[2 * slot], + ); + b.free(raw[2 * slot]); + } else { + let branch_raw = dialog_gcd_k5_tail3_top32_slot_branch_raw(raw, slot); + dialog_gcd_k5_tail3_top32_toggle_slot_branch_from_code( + b, + compressed_block, + raw, + slot, + ); + b.free_vec(&branch_raw); + let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); + b.reacquire_vec(&shift_raw); + dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( + b, + compressed_block, + raw, + slot, + ); + } + } + + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_release"); + b.free_vec(scale_released_code); + } + b.set_phase("dialog_gcd_compressed_block_apply_reverse_halve_y"); + let apply_k2 = dialog_gcd_k2_enabled() + && std::env::var("DIALOG_GCD_K2_NO_APPLY").ok().as_deref() != Some("1"); + let free_clean_code = !inplace_raw + && dialog_gcd_apply_replay_swap_host_enabled() + && dialog_gcd_k5_free_clean_block_during_shift_enabled(); + if free_clean_code { + b.free_vec(shift_clean_code); + } + if top32_final_s2_const && apply_k2 { + dialog_gcd_fixed_halve_twice_y(b, y, p); + } else if apply_k2 + && dialog_gcd_apply_fused_fold_enabled() + && std::env::var("DIALOG_GCD_FUSE_HALVE_OFF").ok().as_deref() != Some("1") + { + // Fuse mod_halve_inplace_fast + cmod_halve_inplace_lazy into a + // single shared borrow chain (exact inverse of the fused double; + // see fn doc on dialog_gcd_fused_halve_y). + let s2 = if split_head11_borrow_pair23_shift { + raw[1] + } else { + dialog_gcd_block_raw_s2(raw, block_steps, slot) + }; + dialog_gcd_fused_halve_y_at_step(b, y, p, s2, Some(step)); + } else { + mod_halve_inplace_fast(b, y, p); + if apply_k2 { + // mirror the forward K=2 second shift: conditional 2nd halve of y. + // MUST use the lazy (Solinas, truncated) controlled halve to match. + let s2 = if split_head11_borrow_pair23_shift { + raw[1] + } else { + dialog_gcd_block_raw_s2(raw, block_steps, slot) + }; + cmod_halve_inplace_lazy(b, y, p, s2); + } + } + if free_clean_code { + b.reacquire_vec(shift_clean_code); + } + if !scale_released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reverse_scale_reacquire"); + b.reacquire_vec(scale_released_code); + } + if split_head11_borrow_pair23_shift { + dialog_gcd_k5_head11_toggle_pair23_s2_into(b, raw, raw[1]); + dialog_gcd_k5_head11_pair01_unzero_lane(b, raw); + } + if split_head11_keep_open_for_shift { + dialog_gcd_k5_head11_close_pair_for_slot(b, raw, slot); + } else if split_head11_permute_shift { + dialog_gcd_k5_head11_pair01_unexpose_s2(b, raw); + } else if !split_head11_pair_slot && (stream_k5_pairs || stream_head11_pairs) { + dialog_gcd_k5_stream_pairs_after_slot_reverse(b, raw, slot); + } + if stream_tail3 { + if split_stream_tail3 { + if !top32_final_s2_const { + let shift_raw = dialog_gcd_k5_tail3_top32_slot_shift_raw(raw, slot); + dialog_gcd_k5_tail3_top32_toggle_slot_shift_from_code( + b, + compressed_block, + raw, + slot, + ); + b.free_vec(&shift_raw); + } + } else { + let slot_raw = dialog_gcd_k5_tail3_top32_slot_raw(raw, slot); + dialog_gcd_k5_tail3_top32_toggle_slot_raw_from_code( + b, + compressed_block, + raw, + slot, + ); + b.free_vec(&slot_raw); + } + } + } + + if !released_code.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reverse_reacquire_block"); + b.reacquire_vec(released_code); + } + if !released_partial_raw.is_empty() { + b.set_phase("dialog_gcd_compressed_block_apply_reverse_reacquire_partial_raw"); + b.reacquire_vec(&released_partial_raw); + } + if head11_block && !stream_head11_pairs { + b.reacquire(raw_block[1]); + } + b.set_phase("dialog_gcd_compressed_block_apply_reverse_clear_block_copy"); + if stream_tail3 { + b.reacquire_vec(&stream_dynamic_raw); + } else if stream_head11_pairs { + dialog_gcd_k5_stream_pairs_finish(b, raw_block); + dialog_gcd_k5_head11_compress_data_to_block( + b, + compressed_block, + raw_block, + true, + ); + } else if stream_k5_pairs { + dialog_gcd_k5_stream_pairs_finish(b, raw_block); + dialog_gcd_k5_compress_data_to_block(b, compressed_block, raw_block, true); + } else if let Some(raw0) = inplace_raw0 { + dialog_gcd_k2_pair_inplace_clear_block(b, compressed_block, raw0, end - start); + } else { + dialog_gcd_clear_raw_block_copy(b, compressed_block, raw_block, end - start); } } @@ -5700,9 +5843,10 @@ pub(crate) fn emit_dialog_gcd_compressed_sidecar_quotient( b.free_vec(&compressed_log); } + pub(crate) fn emit_dialog_gcd_k2_pair_core_encoder(b: &mut B, core: &[QubitId]) { assert_eq!(core.len(), 5); - + // PROBE: 3-CCX reachable-support encoder (replaces 6-CCX). −3 scored CCX/call. b.cx(core[1], core[2]); b.cx(core[0], core[4]); b.x(core[3]); @@ -5720,7 +5864,7 @@ pub(crate) fn emit_dialog_gcd_k2_pair_core_encoder(b: &mut B, core: &[QubitId]) pub(crate) fn emit_dialog_gcd_k2_pair_core_encoder_inverse(b: &mut B, core: &[QubitId]) { assert_eq!(core.len(), 5); - + // Exact gate-reverse of the 3-CCX encoder (each op self-inverse). b.cx(core[3], core[0]); b.cx(core[1], core[0]); b.ccx(core[1], core[3], core[0]); @@ -5739,11 +5883,11 @@ pub(crate) fn emit_dialog_gcd_k2_pair_core_encoder_inverse(b: &mut B, core: &[Qu pub(crate) fn dialog_gcd_k2_pair_core(raw_block: &[QubitId]) -> [QubitId; 5] { assert_eq!(raw_block.len(), 6); [ - raw_block[0], - raw_block[1], - raw_block[4], - raw_block[2], - raw_block[3], + raw_block[0], // first step b0 + raw_block[1], // first step b0_and_b1 + raw_block[4], // first step shift2 + raw_block[2], // second step b0 + raw_block[3], // second step b0_and_b1 ] } @@ -5780,7 +5924,7 @@ pub(crate) fn dialog_gcd_k2_pair_copy_compressed_block_to_raw( emit_dialog_gcd_k2_pair_core_encoder_inverse(b, &core); } -pub(crate) fn dialog_gcd_k2_pair_clear_raw_block_copy( +pub(crate) fn dialog_gcd_k2_pair_clear_raw_block_copy( b: &mut B, compressed_block: &[QubitId], raw_block: &[QubitId], @@ -5810,208 +5954,211 @@ pub(crate) fn dialog_gcd_k2_pair_clear_raw_block_copy( } else { b.cx(c, r); } - } -} - -fn dialog_gcd_fixed_twice_fold( - b: &mut B, - y: &[QubitId], - p: U256, - e: QubitId, - d: QubitId, - is_add: bool, -) { - let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); - let h = b.alloc_qubit(); - b.ccx(e, d, h); - let xed = b.alloc_qubit(); - b.cx(e, xed); - b.cx(d, xed); - let eord = b.alloc_qubit(); - b.cx(xed, eord); - b.cx(h, eord); - let n10 = b.alloc_qubit(); - b.cx(d, n10); - b.cx(h, n10); - - let hi_c = highest_set_bit(c); - let hi_delta = hi_c + 1; - let controls = secp_fold_controls(e, d, h, xed, eord, n10, hi_delta, hi_c); - let last = match fold_only_carry_trunc_window().or_else(double_carry_trunc_window) { - Some(w) => core::cmp::min(y.len() - 2, hi_delta.saturating_add(w)), - None => y.len() - 2, - }; - if fold_freed_tail_enabled() && last > hi_delta { - fold_ripple_freed_tail(b, y, e, d, h, xed, eord, n10, last, is_add); - } else if is_add { - cadd_per_position_controls_trunc(b, y, &controls, last); - } else { - csub_per_position_controls_trunc(b, y, &controls, last); - } - - b.cx(h, n10); - b.cx(d, n10); - b.cx(h, eord); - b.cx(xed, eord); - b.cx(d, xed); - b.cx(e, xed); - b.free(n10); - b.free(eord); - b.free(xed); - if dialog_gcd_fused_hclear_measured_enabled() { - let measured = b.alloc_bit(); - b.hmr(h, measured); - b.cz_if(e, d, measured); - } else { - b.ccx(e, d, h); - } - b.free(h); -} - -fn dialog_gcd_fixed_double_twice_y(b: &mut B, y: &[QubitId], p: U256) { - let n = y.len(); - debug_assert_eq!(n, 256); - let ovf1 = b.alloc_qubit(); - b.swap(y[n - 1], ovf1); - for i in (0..n - 1).rev() { - b.swap(y[i], y[i + 1]); - } - let ovf2 = b.alloc_qubit(); - b.swap(y[n - 1], ovf2); - for i in (0..n - 1).rev() { - b.swap(y[i], y[i + 1]); - } - - dialog_gcd_fixed_twice_fold(b, y, p, ovf2, ovf1, true); - b.cx(y[0], ovf2); - b.cx(y[1], ovf1); - b.free(ovf2); - b.free(ovf1); -} - -fn dialog_gcd_fixed_halve_twice_y(b: &mut B, y: &[QubitId], p: U256) { - let n = y.len(); - debug_assert_eq!(n, 256); - let ovf2 = b.alloc_qubit(); - let ovf1 = b.alloc_qubit(); - b.cx(y[0], ovf2); - b.cx(y[1], ovf1); - - dialog_gcd_fixed_twice_fold(b, y, p, ovf2, ovf1, false); - for i in 0..n - 1 { - b.swap(y[i], y[i + 1]); - } - b.swap(y[n - 1], ovf2); - b.free(ovf2); - for i in 0..n - 1 { - b.swap(y[i], y[i + 1]); - } - b.swap(y[n - 1], ovf1); - b.free(ovf1); -} - -pub(crate) fn dialog_gcd_k5_tail7_fixed_apply_selftest() -> Result<(), String> { - use sha3::digest::{ExtendableOutput, Update}; - - let input_masks = (0..N) - .map(|bit| { - let x = (bit as u64) - .wrapping_mul(0x9E37_79B9_7F4A_7C15) - .wrapping_add(0xD1B5_4A32_D192_ED03); - let x = (x ^ (x >> 30)).wrapping_mul(0xBF58_476D_1CE4_E5B9); - x ^ (x >> 27) - }) - .collect::>(); - - for reverse in [false, true] { - let build_one = |fixed: bool| { - let mut b = B::new(); - let y = b.alloc_qubits(N); - if fixed { - if reverse { - dialog_gcd_fixed_halve_twice_y(&mut b, &y, SECP256K1_P); - } else { - dialog_gcd_fixed_double_twice_y(&mut b, &y, SECP256K1_P); - } - } else { - let one = b.alloc_qubit(); - b.x(one); - if reverse { - dialog_gcd_fused_halve_y(&mut b, &y, SECP256K1_P, one); - } else { - dialog_gcd_fused_double_y(&mut b, &y, SECP256K1_P, one); - } - b.x(one); - b.free(one); - } - (b.ops, y, b.next_qubit as usize, b.next_bit as usize) - }; - - let run = |fixed: bool| { - let (ops, y, num_qubits, num_bits) = build_one(fixed); - let mut seed = sha3::Shake128::default(); - seed.update(b"dialog-gcd-k5-tail7-fixed-apply-selftest"); - seed.update(&[reverse as u8, fixed as u8]); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); - sim.clear_for_shot(); - for (&q, &mask) in y.iter().zip(input_masks.iter()) { - *sim.qubit_mut(q) = mask; - } - sim.apply_iter(ops.iter()); - let output = y.iter().map(|&q| sim.qubit(q)).collect::>(); - let clean = (N..num_qubits).all(|q| sim.qubit(QubitId(q as u64)) == 0); - (output, clean, sim.phase) - }; - - let (baseline, baseline_clean, baseline_phase) = run(false); - let (fixed, fixed_clean, fixed_phase) = run(true); - if !baseline_clean || baseline_phase != 0 { - return Err(format!( - "baseline dirty: reverse={reverse} clean={baseline_clean} phase=0x{baseline_phase:x}" - )); - } - if !fixed_clean || fixed_phase != 0 { - return Err(format!( - "fixed dirty: reverse={reverse} clean={fixed_clean} phase=0x{fixed_phase:x}" - )); - } - if baseline != fixed { - let bit = baseline - .iter() - .zip(fixed.iter()) - .position(|(a, b)| a != b) - .expect("different vectors have a differing bit"); - return Err(format!( - "value mismatch: reverse={reverse} bit={bit} baseline=0x{:x} fixed=0x{:x}", - baseline[bit], fixed[bit] - )); - } - } - Ok(()) -} - -pub(crate) fn dialog_gcd_fused_double_y(b: &mut B, y: &[QubitId], p: U256, s2: QubitId) { - dialog_gcd_fused_double_y_at_step(b, y, p, s2, None); -} - -pub(crate) fn dialog_gcd_fused_double_y_at_step( - b: &mut B, - y: &[QubitId], - p: U256, - s2: QubitId, - step: Option, -) { + } +} + +fn dialog_gcd_fixed_twice_fold( + b: &mut B, + y: &[QubitId], + p: U256, + e: QubitId, + d: QubitId, + is_add: bool, +) { + let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); + let h = b.alloc_qubit(); + b.ccx(e, d, h); + let xed = b.alloc_qubit(); + b.cx(e, xed); + b.cx(d, xed); + let eord = b.alloc_qubit(); + b.cx(xed, eord); + b.cx(h, eord); + let n10 = b.alloc_qubit(); + b.cx(d, n10); + b.cx(h, n10); + + let hi_c = highest_set_bit(c); + let hi_delta = hi_c + 1; + let controls = secp_fold_controls(e, d, h, xed, eord, n10, hi_delta, hi_c); + let last = match fold_only_carry_trunc_window().or_else(double_carry_trunc_window) { + Some(w) => core::cmp::min(y.len() - 2, hi_delta.saturating_add(w)), + None => y.len() - 2, + }; + if fold_freed_tail_enabled() && last > hi_delta { + fold_ripple_freed_tail(b, y, e, d, h, xed, eord, n10, last, is_add); + } else if is_add { + cadd_per_position_controls_trunc(b, y, &controls, last); + } else { + csub_per_position_controls_trunc(b, y, &controls, last); + } + + b.cx(h, n10); + b.cx(d, n10); + b.cx(h, eord); + b.cx(xed, eord); + b.cx(d, xed); + b.cx(e, xed); + b.free(n10); + b.free(eord); + b.free(xed); + if dialog_gcd_fused_hclear_measured_enabled() { + let measured = b.alloc_bit(); + b.hmr(h, measured); + b.cz_if(e, d, measured); + } else { + b.ccx(e, d, h); + } + b.free(h); +} + +fn dialog_gcd_fixed_double_twice_y(b: &mut B, y: &[QubitId], p: U256) { + let n = y.len(); + debug_assert_eq!(n, 256); + let ovf1 = b.alloc_qubit(); + b.swap(y[n - 1], ovf1); + for i in (0..n - 1).rev() { + b.swap(y[i], y[i + 1]); + } + let ovf2 = b.alloc_qubit(); + b.swap(y[n - 1], ovf2); + for i in (0..n - 1).rev() { + b.swap(y[i], y[i + 1]); + } + + dialog_gcd_fixed_twice_fold(b, y, p, ovf2, ovf1, true); + b.cx(y[0], ovf2); + b.cx(y[1], ovf1); + b.free(ovf2); + b.free(ovf1); +} + +fn dialog_gcd_fixed_halve_twice_y(b: &mut B, y: &[QubitId], p: U256) { + let n = y.len(); + debug_assert_eq!(n, 256); + let ovf2 = b.alloc_qubit(); + let ovf1 = b.alloc_qubit(); + b.cx(y[0], ovf2); + b.cx(y[1], ovf1); + + dialog_gcd_fixed_twice_fold(b, y, p, ovf2, ovf1, false); + for i in 0..n - 1 { + b.swap(y[i], y[i + 1]); + } + b.swap(y[n - 1], ovf2); + b.free(ovf2); + for i in 0..n - 1 { + b.swap(y[i], y[i + 1]); + } + b.swap(y[n - 1], ovf1); + b.free(ovf1); +} + +pub(crate) fn dialog_gcd_k5_tail7_fixed_apply_selftest() -> Result<(), String> { + use sha3::digest::{ExtendableOutput, Update}; + + let input_masks = (0..N) + .map(|bit| { + let x = (bit as u64) + .wrapping_mul(0x9E37_79B9_7F4A_7C15) + .wrapping_add(0xD1B5_4A32_D192_ED03); + let x = (x ^ (x >> 30)).wrapping_mul(0xBF58_476D_1CE4_E5B9); + x ^ (x >> 27) + }) + .collect::>(); + + for reverse in [false, true] { + let build_one = |fixed: bool| { + let mut b = B::new(); + let y = b.alloc_qubits(N); + if fixed { + if reverse { + dialog_gcd_fixed_halve_twice_y(&mut b, &y, SECP256K1_P); + } else { + dialog_gcd_fixed_double_twice_y(&mut b, &y, SECP256K1_P); + } + } else { + let one = b.alloc_qubit(); + b.x(one); + if reverse { + dialog_gcd_fused_halve_y(&mut b, &y, SECP256K1_P, one); + } else { + dialog_gcd_fused_double_y(&mut b, &y, SECP256K1_P, one); + } + b.x(one); + b.free(one); + } + (b.ops, y, b.next_qubit as usize, b.next_bit as usize) + }; + + let run = |fixed: bool| { + let (ops, y, num_qubits, num_bits) = build_one(fixed); + let mut seed = sha3::Shake128::default(); + seed.update(b"dialog-gcd-k5-tail7-fixed-apply-selftest"); + seed.update(&[reverse as u8, fixed as u8]); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new(num_qubits, num_bits, &mut xof); + sim.clear_for_shot(); + for (&q, &mask) in y.iter().zip(input_masks.iter()) { + *sim.qubit_mut(q) = mask; + } + sim.apply_iter(ops.iter()); + let output = y.iter().map(|&q| sim.qubit(q)).collect::>(); + let clean = (N..num_qubits).all(|q| sim.qubit(QubitId(q as u64)) == 0); + (output, clean, sim.phase) + }; + + let (baseline, baseline_clean, baseline_phase) = run(false); + let (fixed, fixed_clean, fixed_phase) = run(true); + if !baseline_clean || baseline_phase != 0 { + return Err(format!( + "baseline dirty: reverse={reverse} clean={baseline_clean} phase=0x{baseline_phase:x}" + )); + } + if !fixed_clean || fixed_phase != 0 { + return Err(format!( + "fixed dirty: reverse={reverse} clean={fixed_clean} phase=0x{fixed_phase:x}" + )); + } + if baseline != fixed { + let bit = baseline + .iter() + .zip(fixed.iter()) + .position(|(a, b)| a != b) + .expect("different vectors have a differing bit"); + return Err(format!( + "value mismatch: reverse={reverse} bit={bit} baseline=0x{:x} fixed=0x{:x}", + baseline[bit], fixed[bit] + )); + } + } + Ok(()) +} + +pub(crate) fn dialog_gcd_fused_double_y(b: &mut B, y: &[QubitId], p: U256, s2: QubitId) { + dialog_gcd_fused_double_y_at_step(b, y, p, s2, None); +} + +pub(crate) fn dialog_gcd_fused_double_y_at_step( + b: &mut B, + y: &[QubitId], + p: U256, + s2: QubitId, + step: Option, +) { let n = y.len(); debug_assert_eq!(n, 256); let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); + // ── shift1 (unconditional left shift): ovf1 = old y[255]; y[0] = 0 ── let ovf1 = b.alloc_qubit(); b.swap(y[n - 1], ovf1); for i in (0..n - 1).rev() { b.swap(y[i], y[i + 1]); } + // ── cond-shift2 (left shift gated by s2) on the UNFOLDED register ── + // ovf2 = s2 & top(Y0); y[0] = 0 (and y[1] = 0 iff s2, used by cleanup). let ovf2 = b.alloc_qubit(); cswap(b, s2, y[n - 1], ovf2); for i in (0..n - 1).rev() { @@ -6021,104 +6168,112 @@ pub(crate) fn dialog_gcd_fused_double_y_at_step( cswap(b, s2, y[i], y[i + 1]); } - let e = b.alloc_qubit(); - let d = b.alloc_qubit(); - let hi_delta = highest_set_bit(c) + 1; - let last = match dialog_gcd_fused_fold_carry_trunc_window(step) { - Some(w) => core::cmp::min(n - 2, hi_delta.saturating_add(w)), - None => n - 2, - }; - if fold_stream_controls_enabled() && fold_freed_tail_enabled() && last > hi_delta { - if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { - b.set_phase("dialog_gcd_streamed_double_setup"); - } - b.ccx(ovf1, s2, d); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - fold_ripple_freed_tail_ed_streamed( - b, - y, - e, - d, - Some((ovf1, ovf2, s2)), - fold_park_low_carries_at_step(step), - last, - true, - ); - if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { - b.set_phase("dialog_gcd_streamed_double_cleanup"); - } - } else { - let h = b.alloc_qubit(); - b.ccx(ovf1, s2, d); - b.cx(ovf1, e); - b.cx(d, e); - b.cx(ovf2, e); - b.ccx(ovf2, d, h); - let xed = b.alloc_qubit(); - b.cx(e, xed); - b.cx(d, xed); - let eord = b.alloc_qubit(); - b.cx(xed, eord); - b.cx(h, eord); - let n10 = b.alloc_qubit(); - b.cx(d, n10); - b.cx(h, n10); - - let mut controls: Vec> = vec![None; hi_delta + 1]; - controls[0] = Some(e); - controls[1] = Some(d); - controls[4] = Some(e); - controls[5] = Some(d); - controls[6] = Some(e); - controls[7] = Some(xed); - controls[8] = Some(eord); - controls[9] = Some(eord); - controls[10] = Some(n10); - controls[11] = Some(h); - controls[highest_set_bit(c)] = Some(e); - controls[hi_delta] = Some(d); - if fold_freed_tail_enabled() && last > hi_delta { - fold_ripple_freed_tail_ed( - b, - y, - e, - d, - h, - xed, - eord, - n10, - Some((ovf1, ovf2, s2)), - step, - last, - true, - ); - } else { - cadd_per_position_controls_trunc(b, y, &controls, last); - } - - b.cx(h, n10); - b.cx(d, n10); - b.cx(h, eord); - b.cx(xed, eord); - b.cx(d, xed); - b.cx(e, xed); - b.free(n10); - b.free(eord); - b.free(xed); - if dialog_gcd_fused_hclear_measured_enabled() { - let m = b.alloc_bit(); - b.hmr(h, m); - b.cz_if(ovf2, d, m); - } else { - b.ccx(ovf2, d, h); - } - b.free(h); - } - - b.cx(y[0], e); - + // ── derive the fold controls ── + let e = b.alloc_qubit(); + let d = b.alloc_qubit(); + let hi_delta = highest_set_bit(c) + 1; // = 33 for secp256k1 + let last = match dialog_gcd_fused_fold_carry_trunc_window(step) { + Some(w) => core::cmp::min(n - 2, hi_delta.saturating_add(w)), + None => n - 2, + }; + if fold_stream_controls_enabled() && fold_freed_tail_enabled() && last > hi_delta { + if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { + b.set_phase("dialog_gcd_streamed_double_setup"); + } + b.ccx(ovf1, s2, d); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + fold_ripple_freed_tail_ed_streamed( + b, + y, + e, + d, + Some((ovf1, ovf2, s2)), + fold_park_low_carries_at_step(step), + last, + true, + ); + if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { + b.set_phase("dialog_gcd_streamed_double_cleanup"); + } + } else { + let h = b.alloc_qubit(); + b.ccx(ovf1, s2, d); + b.cx(ovf1, e); + b.cx(d, e); + b.cx(ovf2, e); + b.ccx(ovf2, d, h); + let xed = b.alloc_qubit(); + b.cx(e, xed); + b.cx(d, xed); + let eord = b.alloc_qubit(); + b.cx(xed, eord); + b.cx(h, eord); + let n10 = b.alloc_qubit(); + b.cx(d, n10); + b.cx(h, n10); + + let mut controls: Vec> = vec![None; hi_delta + 1]; + controls[0] = Some(e); + controls[1] = Some(d); + controls[4] = Some(e); + controls[5] = Some(d); + controls[6] = Some(e); + controls[7] = Some(xed); + controls[8] = Some(eord); + controls[9] = Some(eord); + controls[10] = Some(n10); + controls[11] = Some(h); + controls[highest_set_bit(c)] = Some(e); + controls[hi_delta] = Some(d); + if fold_freed_tail_enabled() && last > hi_delta { + fold_ripple_freed_tail_ed( + b, + y, + e, + d, + h, + xed, + eord, + n10, + Some((ovf1, ovf2, s2)), + step, + last, + true, + ); + } else { + cadd_per_position_controls_trunc(b, y, &controls, last); + } + + b.cx(h, n10); + b.cx(d, n10); + b.cx(h, eord); + b.cx(xed, eord); + b.cx(d, xed); + b.cx(e, xed); + b.free(n10); + b.free(eord); + b.free(xed); + if dialog_gcd_fused_hclear_measured_enabled() { + let m = b.alloc_bit(); + b.hmr(h, m); + b.cz_if(ovf2, d, m); + } else { + b.ccx(ovf2, d, h); + } + b.free(h); + } + + // ── cleanup: return the base and overflow controls to |0⟩ ── + // Clear e via parity: y[0] == e. + b.cx(y[0], e); + // Clear d. Stock: ccx(s2, y[1], d) (d == s2 & y[1] post-fold). Measured + // variant: d was set as `ovf1 & s2` and neither d, ovf1, nor s2 changed + // since (ovf1 is an untouched overflow holder, s2 is the read-only gate, d + // is used only as a control). So a Gidney measurement-uncompute on the + // ORIGINAL set-controls is value-identical (forces d->0) and phase-exact + // (d·rng cancels cz_if(ovf1, s2, ·)), at 0 Toffoli instead of 1. if dialog_gcd_fused_dclear_measured_enabled() { let m = b.alloc_bit(); b.hmr(d, m); @@ -6128,7 +6283,7 @@ pub(crate) fn dialog_gcd_fused_double_y_at_step( } b.free(d); b.free(e); - + // Clear ovf1 == (s2 ? y[1] : y[0]). if dialog_gcd_fused_ovfclear_measured_enabled() { let m = b.alloc_bit(); b.hmr(ovf1, m); @@ -6143,7 +6298,7 @@ pub(crate) fn dialog_gcd_fused_double_y_at_step( b.x(s2); } b.free(ovf1); - + // Clear ovf2 == s2 & y[0]. if dialog_gcd_fused_ovfclear_measured_enabled() { let m = b.alloc_bit(); b.hmr(ovf2, m); @@ -6154,132 +6309,136 @@ pub(crate) fn dialog_gcd_fused_double_y_at_step( b.free(ovf2); } -pub(crate) fn dialog_gcd_fused_halve_y(b: &mut B, y: &[QubitId], p: U256, s2: QubitId) { - dialog_gcd_fused_halve_y_at_step(b, y, p, s2, None); -} - -pub(crate) fn dialog_gcd_fused_halve_y_at_step( - b: &mut B, - y: &[QubitId], - p: U256, - s2: QubitId, - step: Option, -) { +pub(crate) fn dialog_gcd_fused_halve_y(b: &mut B, y: &[QubitId], p: U256, s2: QubitId) { + dialog_gcd_fused_halve_y_at_step(b, y, p, s2, None); +} + +pub(crate) fn dialog_gcd_fused_halve_y_at_step( + b: &mut B, + y: &[QubitId], + p: U256, + s2: QubitId, + step: Option, +) { let n = y.len(); debug_assert_eq!(n, 256); let c = U256::MAX.wrapping_sub(p).wrapping_add(U256::from(1)); - let e = b.alloc_qubit(); - let d = b.alloc_qubit(); - let hi_delta = highest_set_bit(c) + 1; - let last = match dialog_gcd_fused_fold_carry_trunc_window(step) { - Some(w) => core::cmp::min(n - 2, hi_delta.saturating_add(w)), - None => n - 2, - }; - let (ovf2, ovf1) = - if fold_stream_controls_enabled() && fold_freed_tail_enabled() && last > hi_delta { - if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { - b.set_phase("dialog_gcd_streamed_halve_setup"); - } - b.cx(y[0], e); - b.ccx(s2, y[1], d); - let ovf2 = b.alloc_qubit(); - let ovf1 = b.alloc_qubit(); - b.ccx(e, s2, ovf2); - b.cx(e, ovf1); - let xed = b.alloc_qubit(); - b.cx(e, xed); - b.cx(d, xed); - b.ccx(s2, xed, ovf1); - b.cx(d, xed); - b.cx(e, xed); - b.free(xed); - fold_ripple_freed_tail_ed_streamed( - b, - y, - e, - d, - Some((ovf1, ovf2, s2)), - fold_park_low_carries_at_step(step), - last, - false, - ); - if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { - b.set_phase("dialog_gcd_streamed_halve_cleanup"); - } - (ovf2, ovf1) - } else { - let h = b.alloc_qubit(); - b.cx(y[0], e); - b.ccx(s2, y[1], d); - b.ccx(e, d, h); - let xed = b.alloc_qubit(); - b.cx(e, xed); - b.cx(d, xed); - let eord = b.alloc_qubit(); - b.cx(xed, eord); - b.cx(h, eord); - let n10 = b.alloc_qubit(); - b.cx(d, n10); - b.cx(h, n10); - let ovf2 = b.alloc_qubit(); - let ovf1 = b.alloc_qubit(); - b.ccx(e, s2, ovf2); - b.cx(e, ovf1); - b.ccx(s2, xed, ovf1); - - let mut controls: Vec> = vec![None; hi_delta + 1]; - controls[0] = Some(e); - controls[1] = Some(d); - controls[4] = Some(e); - controls[5] = Some(d); - controls[6] = Some(e); - controls[7] = Some(xed); - controls[8] = Some(eord); - controls[9] = Some(eord); - controls[10] = Some(n10); - controls[11] = Some(h); - controls[highest_set_bit(c)] = Some(e); - controls[hi_delta] = Some(d); - if fold_freed_tail_enabled() && last > hi_delta { - fold_ripple_freed_tail_ed( - b, - y, - e, - d, - h, - xed, - eord, - n10, - Some((ovf1, ovf2, s2)), - step, - last, - false, - ); - } else { - csub_per_position_controls_trunc(b, y, &controls, last); - } - - b.cx(h, n10); - b.cx(d, n10); - b.cx(h, eord); - b.cx(xed, eord); - b.cx(d, xed); - b.cx(e, xed); - b.free(n10); - b.free(eord); - b.free(xed); - if dialog_gcd_fused_hclear_measured_enabled() { - let m = b.alloc_bit(); - b.hmr(h, m); - b.cz_if(e, d, m); - } else { - b.ccx(e, d, h); - } - b.free(h); - (ovf2, ovf1) - }; - + // ── recover the base fold controls directly from y_new ── + let e = b.alloc_qubit(); + let d = b.alloc_qubit(); + let hi_delta = highest_set_bit(c) + 1; // = 33 for secp256k1 + let last = match dialog_gcd_fused_fold_carry_trunc_window(step) { + Some(w) => core::cmp::min(n - 2, hi_delta.saturating_add(w)), + None => n - 2, + }; + let (ovf2, ovf1) = + if fold_stream_controls_enabled() && fold_freed_tail_enabled() && last > hi_delta { + if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { + b.set_phase("dialog_gcd_streamed_halve_setup"); + } + b.cx(y[0], e); + b.ccx(s2, y[1], d); + let ovf2 = b.alloc_qubit(); + let ovf1 = b.alloc_qubit(); + b.ccx(e, s2, ovf2); + b.cx(e, ovf1); + let xed = b.alloc_qubit(); + b.cx(e, xed); + b.cx(d, xed); + b.ccx(s2, xed, ovf1); + b.cx(d, xed); + b.cx(e, xed); + b.free(xed); + fold_ripple_freed_tail_ed_streamed( + b, + y, + e, + d, + Some((ovf1, ovf2, s2)), + fold_park_low_carries_at_step(step), + last, + false, + ); + if std::env::var("DIALOG_GCD_FOLD_PROFILE_PHASES").ok().as_deref() == Some("1") { + b.set_phase("dialog_gcd_streamed_halve_cleanup"); + } + (ovf2, ovf1) + } else { + let h = b.alloc_qubit(); + b.cx(y[0], e); + b.ccx(s2, y[1], d); + b.ccx(e, d, h); + let xed = b.alloc_qubit(); + b.cx(e, xed); + b.cx(d, xed); + let eord = b.alloc_qubit(); + b.cx(xed, eord); + b.cx(h, eord); + let n10 = b.alloc_qubit(); + b.cx(d, n10); + b.cx(h, n10); + let ovf2 = b.alloc_qubit(); + let ovf1 = b.alloc_qubit(); + b.ccx(e, s2, ovf2); + b.cx(e, ovf1); + b.ccx(s2, xed, ovf1); + + let mut controls: Vec> = vec![None; hi_delta + 1]; + controls[0] = Some(e); + controls[1] = Some(d); + controls[4] = Some(e); + controls[5] = Some(d); + controls[6] = Some(e); + controls[7] = Some(xed); + controls[8] = Some(eord); + controls[9] = Some(eord); + controls[10] = Some(n10); + controls[11] = Some(h); + controls[highest_set_bit(c)] = Some(e); + controls[hi_delta] = Some(d); + if fold_freed_tail_enabled() && last > hi_delta { + fold_ripple_freed_tail_ed( + b, + y, + e, + d, + h, + xed, + eord, + n10, + Some((ovf1, ovf2, s2)), + step, + last, + false, + ); + } else { + csub_per_position_controls_trunc(b, y, &controls, last); + } + + b.cx(h, n10); + b.cx(d, n10); + b.cx(h, eord); + b.cx(xed, eord); + b.cx(d, xed); + b.cx(e, xed); + b.free(n10); + b.free(eord); + b.free(xed); + if dialog_gcd_fused_hclear_measured_enabled() { + let m = b.alloc_bit(); + b.hmr(h, m); + b.cz_if(e, d, m); + } else { + b.ccx(e, d, h); + } + b.free(h); + (ovf2, ovf1) + }; + + // Clear e and d via the live overflow qubits (the register low bits are now + // cleared by the csub, so we cannot read them off y any more): + // e == (s2 ? ovf2 : ovf1); d == (s2 ? ovf1 : 0). if dialog_gcd_fused_halve_edclear_measured_enabled() { let me = b.alloc_bit(); b.hmr(e, me); @@ -6292,14 +6451,15 @@ pub(crate) fn dialog_gcd_fused_halve_y_at_step( b.cz_if(s2, ovf1, md); } else { b.x(s2); - b.ccx(s2, ovf1, e); + b.ccx(s2, ovf1, e); // s2=0: e ^= ovf1 b.x(s2); - b.ccx(s2, ovf2, e); - b.ccx(s2, ovf1, d); + b.ccx(s2, ovf2, e); // s2=1: e ^= ovf2 + b.ccx(s2, ovf1, d); // s2=1: d ^= ovf1 (s2=0: d already 0) } b.free(e); b.free(d); + // ── un-cond-shift2 (right shift gated by s2), re-inserting ovf2 at top ── for i in 0..n - 1 { if dialog_gcd_skip_zero_edge_apply_halve_cshift_enabled() && i == 0 { continue; @@ -6307,13 +6467,18 @@ pub(crate) fn dialog_gcd_fused_halve_y_at_step( cswap(b, s2, y[i], y[i + 1]); } cswap(b, s2, y[n - 1], ovf2); - + // The boundary cswap already pulled the vacated top bit (0) into ovf2, so + // ovf2 is |0> here. (A `ccx(s2, y[n-1], ovf2)` would WRONGLY re-set it to + // s2&y[n-1] = e, dirtying the ancilla — the free's reset then masks the + // value error but leaks global phase. So: no extra clear.) b.free(ovf2); + // ── un-shift1 (unconditional right shift), re-inserting ovf1 at top ── for i in 0..n - 1 { b.swap(y[i], y[i + 1]); } b.swap(y[n - 1], ovf1); - - b.free(ovf1); -} + // The swap already pulled the vacated top bit (0) into ovf1, so ovf1 is |0> + // here. (A `cx(y[n-1], ovf1)` would re-dirty it — see ovf2 note above.) + b.free(ovf1); +} diff --git a/src/point_add/rounds/dialog/config.rs b/src/point_add/rounds/dialog/config.rs index f89e40b7..6a91e21f 100644 --- a/src/point_add/rounds/dialog/config.rs +++ b/src/point_add/rounds/dialog/config.rs @@ -1,4 +1,8 @@ - +//! Dialog-GCD configuration layer: the `DIALOG_GCD_*_ENV` env-var name strings, +//! the structural constants (max iterations, raw-log width, special-add LSBs, +//! the PA9024 per-step compare schedule), and the lever readers +//! (`*_enabled()` / `*_bits()` / `*_blocks()` / width + schedule helpers) that +//! the raw and compressed emitters consult. Env-var STRINGS are frozen. use super::*; pub const DIALOG_GCD_ACTIVE_ITERATIONS_ENV: &str = "DIALOG_GCD_ACTIVE_ITERATIONS"; @@ -35,6 +39,7 @@ pub const DIALOG_GCD_RAW_PA_STOP_AFTER_XTAIL_ENV: &str = "DIALOG_GCD_RAW_PA_STOP pub const DIALOG_GCD_RAW_PA_STOP_AFTER_C_ENV: &str = "DIALOG_GCD_RAW_PA_STOP_AFTER_C"; pub const DIALOG_GCD_RAW_PA_STOP_AFTER_PAIR2_ENV: &str = "DIALOG_GCD_RAW_PA_STOP_AFTER_PAIR2"; + pub(crate) fn dialog_gcd_raw_apply_direct_special_add_enabled() -> bool { std::env::var(DIALOG_GCD_RAW_APPLY_DIRECT_SPECIAL_ADD_ENV) .ok() @@ -63,30 +68,30 @@ pub(crate) fn dialog_gcd_raw_apply_reverse_materialized_special_sub_enabled() -> == Some("1") } -pub(crate) fn dialog_gcd_apply_chunked_f_blocks() -> Option { - std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_BLOCKS") - .ok() - .and_then(|s| s.parse::().ok()) - .filter(|&blocks| blocks >= 2) -} - -pub(crate) fn dialog_gcd_apply_chunked_f_cuts() -> Option> { - std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_CUTS") - .ok() - .filter(|value| !value.trim().is_empty()) - .map(|value| { - value - .split(',') - .map(|item| { - item.trim() - .parse::() - .expect("DIALOG_GCD_APPLY_CHUNKED_F_CUTS") - }) - .collect() - }) -} - -pub(crate) fn dialog_gcd_apply_chunked_f_cut() -> Option { +pub(crate) fn dialog_gcd_apply_chunked_f_blocks() -> Option { + std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_BLOCKS") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&blocks| blocks >= 2) +} + +pub(crate) fn dialog_gcd_apply_chunked_f_cuts() -> Option> { + std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_CUTS") + .ok() + .filter(|value| !value.trim().is_empty()) + .map(|value| { + value + .split(',') + .map(|item| { + item.trim() + .parse::() + .expect("DIALOG_GCD_APPLY_CHUNKED_F_CUTS") + }) + .collect() + }) +} + +pub(crate) fn dialog_gcd_apply_chunked_f_cut() -> Option { std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_CUT") .ok() .and_then(|s| s.parse::().ok()) @@ -135,83 +140,112 @@ pub(crate) fn dialog_gcd_apply_chunked_f_reuse_cin_zero_enabled() -> bool { != Some("0") } -pub(crate) fn dialog_gcd_apply_chunked_f_fuse_boundary_clears_enabled() -> bool { - std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_FUSE_BOUNDARY_CLEARS") - .ok() - .as_deref() - != Some("0") -} - -pub(crate) fn dialog_gcd_apply_borrow_future_boundary_carries_enabled() -> bool { - std::env::var("DIALOG_GCD_APPLY_BORROW_FUTURE_BOUNDARY_CARRIES") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_apply_boundary_free_owned_during_replay_enabled() -> bool { - std::env::var("DIALOG_GCD_APPLY_BOUNDARY_FREE_OWNED_DURING_REPLAY") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_apply_implicit_high_zero_enabled() -> bool { - std::env::var("DIALOG_GCD_APPLY_IMPLICIT_HIGH_ZERO") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_apply_chunked_f_auto_topclean_target() -> Option { - std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_AUTO_TOPCLEAN_TARGET") - .ok() - .and_then(|value| value.parse::().ok()) - .filter(|&target| target > 0) -} - -pub(crate) fn dialog_gcd_apply_chunked_f_auto_topclean_max_bits() -> usize { - std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_AUTO_TOPCLEAN_MAX_BITS") - .ok() - .and_then(|value| value.parse::().ok()) - .unwrap_or(1) -} - -pub(crate) fn dialog_gcd_apply_final_lowq_enabled() -> bool { - std::env::var("DIALOG_GCD_APPLY_FINAL_LOWQ").ok().as_deref() == Some("1") -} - +pub(crate) fn dialog_gcd_apply_chunked_f_fuse_boundary_clears_enabled() -> bool { + std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_FUSE_BOUNDARY_CLEARS") + .ok() + .as_deref() + != Some("0") +} + +pub(crate) fn dialog_gcd_apply_borrow_future_boundary_carries_enabled() -> bool { + std::env::var("DIALOG_GCD_APPLY_BORROW_FUTURE_BOUNDARY_CARRIES") + .ok() + .as_deref() + == Some("1") +} + +pub(crate) fn dialog_gcd_apply_boundary_free_owned_during_replay_enabled() -> bool { + std::env::var("DIALOG_GCD_APPLY_BOUNDARY_FREE_OWNED_DURING_REPLAY") + .ok() + .as_deref() + == Some("1") +} + +pub(crate) fn dialog_gcd_apply_implicit_high_zero_enabled() -> bool { + std::env::var("DIALOG_GCD_APPLY_IMPLICIT_HIGH_ZERO") + .ok() + .as_deref() + == Some("1") +} + +pub(crate) fn dialog_gcd_apply_chunked_f_auto_topclean_target() -> Option { + std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_AUTO_TOPCLEAN_TARGET") + .ok() + .and_then(|value| value.parse::().ok()) + .filter(|&target| target > 0) +} + +pub(crate) fn dialog_gcd_apply_chunked_f_auto_topclean_max_bits() -> usize { + std::env::var("DIALOG_GCD_APPLY_CHUNKED_F_AUTO_TOPCLEAN_MAX_BITS") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(1) +} + +pub(crate) fn dialog_gcd_apply_final_lowq_enabled() -> bool { + std::env::var("DIALOG_GCD_APPLY_FINAL_LOWQ").ok().as_deref() == Some("1") +} + +/// Default-OFF lever: in the apply-phase fused double_y / halve_y, uncompute the +/// `h` control ancilla (`h = a & b` for two ancilla a,b that are unchanged +/// between the set and the clear) with a Gidney measurement (Hmr + a classically +/// -conditioned CZ) instead of a second CCX. 0 Toffoli for the uncompute. +/// Apply-phase only (the documented round84 phase hazard does not apply here). +/// Phase-exact precisely because `h` deterministically equals `a & b` at the +/// Hmr, so the Hmr's `h·rng` phase is cancelled by `cz_if(a, b, ·)`'s +/// `(a&b)·rng`. Value-identical: the Hmr forces `h -> 0` just like the CCX did. pub(crate) fn dialog_gcd_fused_hclear_measured_enabled() -> bool { std::env::var("DIALOG_GCD_FUSED_HCLEAR_MEASURED").ok().as_deref() == Some("1") } +/// Default-OFF lever: in the apply-phase fused double_y, uncompute the `d` +/// control ancilla (`d = ovf1 & s2`, set by `ccx(ovf1, s2, d)`) with a Gidney +/// measurement (Hmr + a classically-conditioned CZ on its ORIGINAL set-controls +/// ovf1,s2) instead of the `ccx(s2, y[1], d)` clear. 0 Toffoli for the +/// uncompute. Phase-exact precisely because `d` deterministically equals +/// `ovf1 & s2` at the Hmr (neither d, ovf1, nor s2 is mutated between set and +/// clear — ovf1 is an overflow holder untouched by the fold, s2 is the read-only +/// gate control, and d is used only as a control in between), so the Hmr's +/// `d·rng` phase is cancelled by `cz_if(ovf1, s2, ·)`'s `(ovf1&s2)·rng`. +/// Value-identical: the Hmr forces `d -> 0` just like the CCX did, and ovf1&s2 +/// equals the s2&y[1] the stock clear used (y[1] == ovf1 post-fold). Forward +/// (double_y) only — in halve_y the matching `d` clear reads y[1] AFTER the +/// csub fold has overwritten it, so the set-controls are no longer live there. pub(crate) fn dialog_gcd_fused_dclear_measured_enabled() -> bool { std::env::var("DIALOG_GCD_FUSED_DCLEAR_MEASURED").ok().as_deref() == Some("1") } +/// Default-OFF lever: in the apply-phase fused double_y, uncompute overflow +/// cleanup ancilla with Gidney measurements when their current boolean +/// expressions are known exactly. `ovf1 == (s2 ? y[1] : y[0])` and +/// `ovf2 == s2 & y[0]` at cleanup. Phase correction applies the same mux/AND +/// expression against the Hmr bit, saving the stock CCX clears. pub(crate) fn dialog_gcd_fused_ovfclear_measured_enabled() -> bool { std::env::var("DIALOG_GCD_FUSED_OVFCLEAR_MEASURED").ok().as_deref() == Some("1") } +/// Default-OFF lever: in fused halve_y cleanup, uncompute `e` and `d` with +/// Hmr + phase feedback from their current live overflow expressions: +/// `e == (s2 ? ovf2 : ovf1)` and `d == s2 & ovf1`. pub(crate) fn dialog_gcd_fused_halve_edclear_measured_enabled() -> bool { std::env::var("DIALOG_GCD_FUSED_HALVE_EDCLEAR_MEASURED").ok().as_deref() == Some("1") } -pub(crate) fn dialog_gcd_apply_final_windowed_fast_blocks() -> Option { - std::env::var("DIALOG_GCD_APPLY_FINAL_WINDOWED_FAST_BLOCKS") - .ok() - .and_then(|s| s.parse::().ok()) - .filter(|&blocks| blocks >= 2) -} - -pub(crate) fn dialog_gcd_apply_final_topclean_bits() -> usize { - std::env::var("DIALOG_GCD_APPLY_FINAL_TOPCLEAN") - .ok() - .and_then(|s| s.parse::().ok()) - .unwrap_or(0) -} - -pub(crate) fn dialog_gcd_apply_boundary_split() -> Option { +pub(crate) fn dialog_gcd_apply_final_windowed_fast_blocks() -> Option { + std::env::var("DIALOG_GCD_APPLY_FINAL_WINDOWED_FAST_BLOCKS") + .ok() + .and_then(|s| s.parse::().ok()) + .filter(|&blocks| blocks >= 2) +} + +pub(crate) fn dialog_gcd_apply_final_topclean_bits() -> usize { + std::env::var("DIALOG_GCD_APPLY_FINAL_TOPCLEAN") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0) +} + +pub(crate) fn dialog_gcd_apply_boundary_split() -> Option { std::env::var("DIALOG_GCD_APPLY_BOUNDARY_SPLIT") .ok() .and_then(|s| s.parse::().ok()) @@ -240,13 +274,20 @@ pub(crate) fn dialog_gcd_special_clean_conditional_replay_enabled() -> bool { } pub(crate) fn dialog_gcd_apply_replay_swap_host_enabled() -> bool { - + // Prototype, deliberately NOT enabled by configure_ecdsafail_submission_route. + // + // Block-lifecycle apply normally CNOT-copies the current compressed + // transcript block into raw_block before decompressing it. Swapping the + // five compressed cells into raw_block instead leaves five allocated, + // clean cells available throughout the three replay steps. The matching + // swap after recompression restores the transcript block. std::env::var("DIALOG_GCD_APPLY_REPLAY_SWAP_HOST") .ok() .as_deref() == Some("1") } + pub(crate) fn dialog_gcd_raw_tobitvector_materialized_sub_enabled() -> bool { std::env::var(DIALOG_GCD_RAW_TOBITVECTOR_MATERIALIZED_SUB_ENV) .ok() @@ -254,6 +295,15 @@ pub(crate) fn dialog_gcd_raw_tobitvector_materialized_sub_enabled() -> bool { == Some("1") } +/// Default-ON lever: in the CONTROLLED GCD body's `else` branch (the non- +/// materialized fallback that today uses full-CCX controlled Cuccaro +/// `cucc_{sub,add}_ctrl_lowq` at ~8-10 CCX/bit), use the Gidney measurement- +/// vented controlled adder `cuccaro_{add,sub}_ctrl_vented` (~2 CCX/bit: a +/// forward carry chain vented onto a BORROWED |0> pool plus a controlled-sum +/// pass, with the carry uncomputed by measurement at 0 Toffoli). Requires the +/// caller-supplied `borrowed_carries` to have >= active_width-1 clean lanes; +/// if absent the branch falls back to `cucc_*_ctrl_lowq`. Borrowed (never +/// fresh-allocated) so the peak does not grow. pub(crate) fn dialog_gcd_ctrl_body_vented_enabled() -> bool { std::env::var("DIALOG_GCD_CTRL_BODY_VENTED") .ok() @@ -275,6 +325,7 @@ pub(crate) fn dialog_gcd_raw_tobitvector_borrow_future_log_carries_enabled() -> == Some("1") } + pub(crate) fn dialog_gcd_raw_ipmul_terminal_reuse_enabled() -> bool { std::env::var(DIALOG_GCD_RAW_IPMUL_TERMINAL_REUSE_ENV) .ok() @@ -338,6 +389,7 @@ pub(crate) fn dialog_gcd_raw_pa_stop_after_pair2_enabled() -> bool { == Some("1") } + pub(crate) const DIALOG_GCD_MAX_ITERATIONS: usize = 402; pub(crate) const DIALOG_GCD_RAW_LOG_BITS: usize = 2 * DIALOG_GCD_MAX_ITERATIONS; pub(crate) const DIALOG_GCD_SPECIAL_ADD_LSBS: usize = 73; @@ -345,6 +397,7 @@ pub(crate) const DIALOG_GCD_DEFAULT_COMPARE_BITS: usize = 77; pub(crate) const DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE: usize = 3; pub(crate) const DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS: usize = 5; + pub(crate) fn dialog_gcd_compressed_sidecar_log_enabled() -> bool { std::env::var(DIALOG_GCD_COMPRESSED_SIDECAR_LOG_ENV) .ok() @@ -352,34 +405,46 @@ pub(crate) fn dialog_gcd_compressed_sidecar_log_enabled() -> bool { == Some("1") } -pub(crate) fn dialog_gcd_compressed_block_lifecycle_enabled() -> bool { - if dialog_gcd_k5_clean_block_enabled() { - return true; - } - std::env::var(DIALOG_GCD_COMPRESSED_BLOCK_LIFECYCLE_ENV) - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_k2_enabled() -> bool { - std::env::var("DIALOG_GCD_K2").ok().as_deref() == Some("1") -} - -pub(crate) fn dialog_gcd_k5_clean_block_enabled() -> bool { - dialog_gcd_k2_enabled() - && std::env::var("DIALOG_GCD_K5_CLEAN_BLOCK") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_block_bits() -> usize { - if dialog_gcd_k5_clean_block_enabled() { - 12 - } else if dialog_gcd_k2_pair_compress_enabled() { - - DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS +pub(crate) fn dialog_gcd_compressed_block_lifecycle_enabled() -> bool { + if dialog_gcd_k5_clean_block_enabled() { + return true; + } + std::env::var(DIALOG_GCD_COMPRESSED_BLOCK_LIFECYCLE_ENV) + .ok() + .as_deref() + == Some("1") +} + +/// K=2 bounded-shift GCD prototype. When enabled, each tobitvector step strips up +/// to TWO trailing zeros (one extra conditional shift), recording the shift2 bit +/// in `b.k2_shift2_log[step]`; the apply mirrors it with a conditional 2nd +/// double/halve of y. Prototype stores shift2 UNCOMPRESSED (separate register) so +/// it does not touch the round763 packer yet. Default OFF -> frontier byte-identical. +pub(crate) fn dialog_gcd_k2_enabled() -> bool { + std::env::var("DIALOG_GCD_K2").ok().as_deref() == Some("1") +} + +pub(crate) fn dialog_gcd_k5_clean_block_enabled() -> bool { + dialog_gcd_k2_enabled() + && std::env::var("DIALOG_GCD_K5_CLEAN_BLOCK") + .ok() + .as_deref() + == Some("1") +} + +/// Compressed bits per transcript block. K=2 packs an extra `shift2` bit per step +/// (GROUP_SIZE=3 steps) on top of the round763 6->5 base packing: 5 + 3 = 8. +/// NOTE: the compile-time `DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS` const stays 5 +/// (it sizes fixed arrays in the high-tail machinery); this fn is for the dynamic +/// compressed_log stride / indexing / runway only. +pub(crate) fn dialog_gcd_block_bits() -> usize { + if dialog_gcd_k5_clean_block_enabled() { + 12 + } else if dialog_gcd_k2_pair_compress_enabled() { + // Two K=2 steps have 6 raw transcript bits. The pair language has only + // 30 reachable states: the first five bits compress 15 -> 4, while the + // second shift2 bit stays raw. Total: 5 block bits for 2 steps. + DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS } else if dialog_gcd_k2_enabled() { DIALOG_GCD_HIGH_TAIL_ALIAS_BLOCK_BITS + DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE } else { @@ -387,6 +452,8 @@ pub(crate) fn dialog_gcd_block_bits() -> usize { } } +/// Raw (uncompressed) per-block scratch length: 2 bits/step base, +1/step for K=2 +/// shift2. K1: 2*GROUP_SIZE=6; K2: 3*GROUP_SIZE=9. pub(crate) fn dialog_gcd_raw_block_len() -> usize { if dialog_gcd_k2_enabled() { 3 * dialog_gcd_sidecar_group_size() @@ -394,7 +461,19 @@ pub(crate) fn dialog_gcd_raw_block_len() -> usize { 2 * dialog_gcd_sidecar_group_size() } } - +/// K2-calibrated per-step comparator requirement: the OBSERVED maximum +/// `req_cb = active_width - msb(u^v)` (the minimum truncated-comparator width +/// that still resolves the `b1 = u>v` branch decision) measured over 8,000,000 +/// reachable GCD factors (both the pair1 quotient dx = Px-Qx and the pair2 ipmul +/// c = Qx-Rx, generated from random secp256k1 curve points) under the active +/// route (K2 double-shift, WIDTH_SLOPE=1.014, WIDTH_MARGIN=10, active=258). +/// The branch comparator only fires when b0=1 (v odd); u is always odd and an +/// odd v means u,v agree at bit 0, so the comparison never needs the bottom bit +/// (=> req_cb <= active_width-1, exact). Early steps need far fewer than the flat +/// DEFAULT_COMPARE_BITS=50, so a per-step schedule (effective bits = +/// min(SCHEDULE[step]+MARGIN, global, active_width)) is value-exact on reachable +/// support yet strictly cheaper than flat-50 on the early steps; mid steps cap at +/// the global 50 (unchanged from baseline, where compare hazards are already ~0). pub const DIALOG_GCD_PA9024_COMPARE_SCHEDULE: [usize; 258] = [ 22, 21, 24, 24, 28, 25, 29, 26, 29, 30, 33, 35, 31, 32, 31, 33, 33, 34, 30, 32, 33, 35, 33, 35, 34, 33, 35, 35, 35, 34, 33, 33, 33, 34, 34, 38, 35, 35, 33, 36, 34, 36, 37, 36, 38, 36, 38, 36, @@ -449,31 +528,31 @@ pub(crate) fn dialog_gcd_pa9024_compare_schedule_floor() -> usize { .max(1) } -pub(crate) fn dialog_gcd_pa9024_compare_schedule_margin() -> usize { - std::env::var("DIALOG_GCD_PA9024_COMPARE_SCHEDULE_MARGIN") - .ok() - .and_then(|s| s.parse::().ok()) - .unwrap_or(0) -} - -fn dialog_gcd_compare_step_bits(step: usize) -> Option { - let map = std::env::var("DIALOG_GCD_COMPARE_STEP_BITS").ok()?; - map.split(',').rev().find_map(|entry| { - let (raw_step, raw_bits) = entry.trim().split_once(':')?; - if raw_step.trim().parse::().ok()? != step { - return None; - } - raw_bits.trim().parse::().ok() - }) -} - -pub(crate) fn dialog_gcd_compare_bits_for_step(step: usize, active_width: usize) -> usize { - if let Some(bits) = dialog_gcd_compare_step_bits(step) { - return bits.clamp(1, active_width); - } - let global = dialog_gcd_compare_bits().min(active_width); - if dialog_gcd_pa9024_compare_schedule_enabled() { - let scheduled = (DIALOG_GCD_PA9024_COMPARE_SCHEDULE +pub(crate) fn dialog_gcd_pa9024_compare_schedule_margin() -> usize { + std::env::var("DIALOG_GCD_PA9024_COMPARE_SCHEDULE_MARGIN") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0) +} + +fn dialog_gcd_compare_step_bits(step: usize) -> Option { + let map = std::env::var("DIALOG_GCD_COMPARE_STEP_BITS").ok()?; + map.split(',').rev().find_map(|entry| { + let (raw_step, raw_bits) = entry.trim().split_once(':')?; + if raw_step.trim().parse::().ok()? != step { + return None; + } + raw_bits.trim().parse::().ok() + }) +} + +pub(crate) fn dialog_gcd_compare_bits_for_step(step: usize, active_width: usize) -> usize { + if let Some(bits) = dialog_gcd_compare_step_bits(step) { + return bits.clamp(1, active_width); + } + let global = dialog_gcd_compare_bits().min(active_width); + if dialog_gcd_pa9024_compare_schedule_enabled() { + let scheduled = (DIALOG_GCD_PA9024_COMPARE_SCHEDULE .get(step) .copied() .unwrap_or(global) @@ -499,35 +578,36 @@ pub(crate) fn dialog_gcd_odd_u_lowbit_fastpath_enabled() -> bool { == Some("1") } -pub(crate) fn dialog_gcd_k2_pair_compress_enabled() -> bool { - dialog_gcd_k2_enabled() - && !dialog_gcd_k5_clean_block_enabled() - && std::env::var("DIALOG_GCD_K2_PAIR_COMPRESS") - .ok() - .as_deref() - == Some("1") -} - -pub(crate) fn dialog_gcd_sidecar_group_size() -> usize { - if dialog_gcd_k5_clean_block_enabled() { - 5 - } else if dialog_gcd_k2_pair_compress_enabled() { - 2 - } else { - DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE - } -} -pub(crate) fn dialog_gcd_apply_fused_fold_enabled() -> bool { - std::env::var("DIALOG_GCD_APPLY_FUSED_FOLD").ok().as_deref() == Some("1") -} - -pub const DIALOG_FUSE_C_FORM_ENV: &str = "DIALOG_FUSE_C_FORM"; -pub(crate) fn dialog_fuse_c_form_enabled() -> bool { - std::env::var(DIALOG_FUSE_C_FORM_ENV).ok().as_deref() == Some("1") -} - -pub const DIALOG_FUSE_X_RESTORE_ENV: &str = "DIALOG_FUSE_X_RESTORE"; -pub(crate) fn dialog_fuse_x_restore_enabled() -> bool { - std::env::var(DIALOG_FUSE_X_RESTORE_ENV).ok().as_deref() == Some("1") -} +pub(crate) fn dialog_gcd_k2_pair_compress_enabled() -> bool { + dialog_gcd_k2_enabled() + && !dialog_gcd_k5_clean_block_enabled() + && std::env::var("DIALOG_GCD_K2_PAIR_COMPRESS") + .ok() + .as_deref() + == Some("1") +} + +pub(crate) fn dialog_gcd_sidecar_group_size() -> usize { + if dialog_gcd_k5_clean_block_enabled() { + 5 + } else if dialog_gcd_k2_pair_compress_enabled() { + 2 + } else { + DIALOG_GCD_HIGH_TAIL_ALIAS_GROUP_SIZE + } +} + +pub(crate) fn dialog_gcd_apply_fused_fold_enabled() -> bool { + std::env::var("DIALOG_GCD_APPLY_FUSED_FOLD").ok().as_deref() == Some("1") +} + +pub const DIALOG_FUSE_C_FORM_ENV: &str = "DIALOG_FUSE_C_FORM"; +pub(crate) fn dialog_fuse_c_form_enabled() -> bool { + std::env::var(DIALOG_FUSE_C_FORM_ENV).ok().as_deref() == Some("1") +} + +pub const DIALOG_FUSE_X_RESTORE_ENV: &str = "DIALOG_FUSE_X_RESTORE"; +pub(crate) fn dialog_fuse_x_restore_enabled() -> bool { + std::env::var(DIALOG_FUSE_X_RESTORE_ENV).ok().as_deref() == Some("1") +} diff --git a/src/point_add/rounds/dialog/mod.rs b/src/point_add/rounds/dialog/mod.rs index fa0be1a6..f82e20bf 100644 --- a/src/point_add/rounds/dialog/mod.rs +++ b/src/point_add/rounds/dialog/mod.rs @@ -1,4 +1,9 @@ - +//! Dialog-GCD modular inversion. This `mod.rs` holds the raw-log path (config +//! levers, per-step comparators, controlled add/sub, tobitvector / ipmul / +//! quotient / apply emitters, and the `emit_dialog_gcd_raw_pa` driver). The +//! `compressed` sidecar (round763 compressor + runway/composite scratch + the +//! `emit_dialog_gcd_compressed_sidecar_*` block-lifecycle emitters) lives in the +//! sibling module. use super::*; mod compressed; @@ -15,23 +20,25 @@ pub(crate) fn round84_emit_fused_square_xtail( ) { b.set_phase("round84_fused_square_xtail_dx_sub_lam_square_lowq"); if std::env::var("ROUND84_XTAIL_KARATSUBA").ok().as_deref() == Some("1") { - + // Squaring-aware 1-level Karatsuba square (default OFF). Overrides the + // ROUND84_XTAIL_SCHOOLBOOK default set in configure_ecdsafail_submission_route. squaring_sub_from_acc_karatsuba(b, tx, lam, p); } else if std::env::var("ROUND84_XTAIL_WALK_SQUARE").ok().as_deref() == Some("1") { squaring_sub_from_acc_walk_controls_lowq(b, tx, lam, p); } else if std::env::var("ROUND84_XTAIL_SCHOOLBOOK").ok().as_deref() == Some("1") { squaring_sub_from_acc_schoolbook(b, tx, lam, p); - } else { - squaring_sub_from_acc_schoolbook_lowq_shift22(b, tx, lam, p); - } - if dialog_fuse_c_form_enabled() { - return; - } - b.set_phase("round84_fused_square_xtail_add_double_ox"); - mod_add_double_qb(b, tx, ox, p); - b.set_phase("round84_fused_square_xtail_negate_to_x3"); - mod_neg_inplace_fast(b, tx, p); -} + } else { + squaring_sub_from_acc_schoolbook_lowq_shift22(b, tx, lam, p); + } + if dialog_fuse_c_form_enabled() { + return; + } + b.set_phase("round84_fused_square_xtail_add_double_ox"); + mod_add_double_qb(b, tx, ox, p); + b.set_phase("round84_fused_square_xtail_negate_to_x3"); + mod_neg_inplace_fast(b, tx, p); +} + pub(crate) fn dialog_gcd_cmp_gt_truncated_into_width( b: &mut B, @@ -69,6 +76,13 @@ pub(crate) fn dialog_gcd_branch_bits_host_comparator_enabled() -> bool { == Some("1") } +/// Truncated controlled branch-bit comparator that hosts its borrow `c_in` + +/// `carries` transient on a borrowed clean slice (the idle future-log region) +/// when one of sufficient length is supplied, freeing the peak qubit the fresh +/// allocation would otherwise consume at the branch_bits instant. Falls back to +/// the self-allocating comparator when no slice (or a too-short one) is given, so +/// behaviour is identical to `dialog_gcd_ccx_cmp_gt_truncated_into_width` in that +/// case. Value-exact either way. pub(crate) fn dialog_gcd_ccx_cmp_gt_truncated_into_width_hosted( b: &mut B, u: &[QubitId], @@ -85,7 +99,13 @@ pub(crate) fn dialog_gcd_ccx_cmp_gt_truncated_into_width_hosted( let cmp_u = &v[start..]; let cmp_v = &u[start..]; let n = cmp_u.len(); - + // Need c_in (1) + carries (n) = n+1 clean lanes. PARTIAL hosting: borrow the + // future-log prefix that fits and allocate only the deficit, instead of + // all-or-nothing (which fully self-allocs n+1 at the late GCD steps where the + // slice runs short, pinning the branch_bits peak at 1446). The borrowed-carries + // comparator indexes c_in and each carries[i] independently, so a gathered + // [borrowed_prefix ++ owned] vec is value-identical; borrowed lanes are restored + // to |0> by the measured backward inv-MAJ sweep, owned lanes are freed. let need = n + 1; let avail = borrowed.map(|s| s.len()).unwrap_or(0); if dialog_gcd_partial_host_comparator_enabled() && avail > 0 && avail < need { @@ -105,7 +125,7 @@ pub(crate) fn dialog_gcd_ccx_cmp_gt_truncated_into_width_hosted( } } -pub(crate) fn dialog_gcd_cmp_gt_truncated_phase_conditioned_hosted( +pub(crate) fn dialog_gcd_cmp_gt_truncated_phase_conditioned_hosted( b: &mut B, u: &[QubitId], v: &[QubitId], @@ -155,64 +175,65 @@ pub(crate) fn dialog_gcd_cmp_gt_truncated_phase_conditioned_hosted( let c_in = b.alloc_qubit(); cmp_lt_phase_conditioned_with_cin(b, cmp_u, cmp_v, c_in, ctrl, phase); b.free(c_in); - } -} - -fn dialog_gcd_cmp_lt_phase_conditioned_hosted( - b: &mut B, - u: &[QubitId], - v: &[QubitId], - ctrl: QubitId, - phase: BitId, - borrowed: Option<&[QubitId]>, -) { - let n = u.len(); - assert_eq!(v.len(), n); - assert!(n > 0); - let need = n + 1; - let avail = borrowed.map_or(0, <[QubitId]>::len); - if dialog_gcd_partial_host_comparator_enabled() && avail > 0 && avail < need { - let borrowed = borrowed.expect("avail > 0"); - let owned = b.alloc_qubits(need - avail); - let mut clean = Vec::with_capacity(need); - clean.extend_from_slice(borrowed); - clean.extend_from_slice(&owned); - let (c_in, carries) = clean.split_first().expect("need >= 1"); - cmp_lt_phase_conditioned_borrowed_carries( - b, - u, - v, - *c_in, - &carries[..n], - ctrl, - phase, - ); - b.free_vec(&owned); - } else if let Some(borrowed) = borrowed.filter(|slice| slice.len() >= need) { - let (c_in, carries) = borrowed.split_first().expect("borrowed len >= n + 1"); - cmp_lt_phase_conditioned_borrowed_carries( - b, - u, - v, - *c_in, - &carries[..n], - ctrl, - phase, - ); - } else { - let c_in = b.alloc_qubit(); - cmp_lt_phase_conditioned_with_cin(b, u, v, c_in, ctrl, phase); - b.free(c_in); - } -} - -pub(crate) fn dialog_gcd_partial_host_comparator_enabled() -> bool { + } +} + +fn dialog_gcd_cmp_lt_phase_conditioned_hosted( + b: &mut B, + u: &[QubitId], + v: &[QubitId], + ctrl: QubitId, + phase: BitId, + borrowed: Option<&[QubitId]>, +) { + let n = u.len(); + assert_eq!(v.len(), n); + assert!(n > 0); + let need = n + 1; + let avail = borrowed.map_or(0, <[QubitId]>::len); + if dialog_gcd_partial_host_comparator_enabled() && avail > 0 && avail < need { + let borrowed = borrowed.expect("avail > 0"); + let owned = b.alloc_qubits(need - avail); + let mut clean = Vec::with_capacity(need); + clean.extend_from_slice(borrowed); + clean.extend_from_slice(&owned); + let (c_in, carries) = clean.split_first().expect("need >= 1"); + cmp_lt_phase_conditioned_borrowed_carries( + b, + u, + v, + *c_in, + &carries[..n], + ctrl, + phase, + ); + b.free_vec(&owned); + } else if let Some(borrowed) = borrowed.filter(|slice| slice.len() >= need) { + let (c_in, carries) = borrowed.split_first().expect("borrowed len >= n + 1"); + cmp_lt_phase_conditioned_borrowed_carries( + b, + u, + v, + *c_in, + &carries[..n], + ctrl, + phase, + ); + } else { + let c_in = b.alloc_qubit(); + cmp_lt_phase_conditioned_with_cin(b, u, v, c_in, ctrl, phase); + b.free(c_in); + } +} + +pub(crate) fn dialog_gcd_partial_host_comparator_enabled() -> bool { std::env::var("DIALOG_GCD_PARTIAL_HOST_COMPARATOR") .ok() .as_deref() != Some("0") } + pub(crate) fn dialog_gcd_shift_right_assuming_even(b: &mut B, v: &[QubitId]) { assert!(!v.is_empty()); for i in 0..v.len() - 1 { @@ -228,7 +249,10 @@ pub(crate) fn dialog_gcd_unshift_right_assuming_even(b: &mut B, v: &[QubitId]) { } pub(crate) fn dialog_gcd_width_margin() -> f64 { - + // W-TRUNC safety margin added to the empirical bit-length envelope. + // Default 37.0 reproduces pldallairedemers' baseline byte-for-byte. + // Lowering it tightens every GCD-body width (cswap/sub/add) -> fewer + // Toffoli, peak-neutral (early steps clamp at N). Co-tune with reroll. std::env::var("DIALOG_GCD_WIDTH_MARGIN") .ok() .and_then(|s| s.parse::().ok()) @@ -237,7 +261,8 @@ pub(crate) fn dialog_gcd_width_margin() -> f64 { } pub(crate) fn dialog_gcd_width_slope() -> f64 { - + // Per-step shrink rate of the realizable max(bitlen(u),bitlen(v)). + // Default 0.5*1.415 = 0.7075 reproduces the baseline. std::env::var("DIALOG_GCD_WIDTH_SLOPE_X1000") .ok() .and_then(|s| s.parse::().ok()) @@ -246,63 +271,76 @@ pub(crate) fn dialog_gcd_width_slope() -> f64 { .unwrap_or(0.5 * 1.415) } -pub(crate) fn dialog_gcd_tobitvector_active_width(step: usize) -> usize { - if !dialog_gcd_raw_tobitvector_variable_width_enabled() { - return N; - } - let ideal = N as f64 - (step as f64) * dialog_gcd_width_slope() + dialog_gcd_width_margin(); - let rounded = ((ideal.max(1.0) / 2.0).ceil() as usize) * 2; - rounded - .saturating_add(dialog_gcd_width_step_bump(step)) - .clamp(1, N) -} - -fn dialog_gcd_step_map_value(env: &str, step: usize) -> usize { - let Ok(map) = std::env::var(env) else { - return 0; - }; - map.split(',') - .filter_map(|entry| { - let (s, value) = entry.trim().split_once(':')?; - Some(( - s.trim().parse::().ok()?, - value.trim().parse::().ok()?, - )) - }) - .filter_map(|(s, value)| (s == step).then_some(value)) - .sum() -} - -fn dialog_gcd_step_map_override(env: &str, step: usize) -> Option { - let map = std::env::var(env).ok()?; - map.split(',').rev().find_map(|entry| { - let (raw_step, raw_value) = entry.trim().split_once(':')?; - if raw_step.trim().parse::().ok()? != step { - return None; - } - raw_value.trim().parse::().ok() - }) -} - -pub(crate) fn dialog_gcd_width_step_bump(step: usize) -> usize { - dialog_gcd_step_map_value("DIALOG_GCD_WIDTH_STEP_BUMPS", step) -} - -pub(crate) fn dialog_gcd_body_step_giveback(step: usize) -> usize { - dialog_gcd_step_map_value("DIALOG_GCD_BODY_STEP_GIVEBACKS", step) -} - -pub(crate) fn dialog_gcd_fused_fold_carry_trunc_window( - step: Option, -) -> Option { - step.and_then(|step| { - dialog_gcd_step_map_override("DIALOG_GCD_FOLD_CARRY_TRUNC_STEP_WINDOWS", step) - }) - .filter(|&window| window > 0) - .or_else(fold_only_carry_trunc_window) - .or_else(double_carry_trunc_window) -} - +pub(crate) fn dialog_gcd_tobitvector_active_width(step: usize) -> usize { + if !dialog_gcd_raw_tobitvector_variable_width_enabled() { + return N; + } + let ideal = N as f64 - (step as f64) * dialog_gcd_width_slope() + dialog_gcd_width_margin(); + let rounded = ((ideal.max(1.0) / 2.0).ceil() as usize) * 2; + rounded + .saturating_add(dialog_gcd_width_step_bump(step)) + .clamp(1, N) +} + +fn dialog_gcd_step_map_value(env: &str, step: usize) -> usize { + let Ok(map) = std::env::var(env) else { + return 0; + }; + map.split(',') + .filter_map(|entry| { + let (s, value) = entry.trim().split_once(':')?; + Some(( + s.trim().parse::().ok()?, + value.trim().parse::().ok()?, + )) + }) + .filter_map(|(s, value)| (s == step).then_some(value)) + .sum() +} + +fn dialog_gcd_step_map_override(env: &str, step: usize) -> Option { + let map = std::env::var(env).ok()?; + map.split(',').rev().find_map(|entry| { + let (raw_step, raw_value) = entry.trim().split_once(':')?; + if raw_step.trim().parse::().ok()? != step { + return None; + } + raw_value.trim().parse::().ok() + }) +} + +pub(crate) fn dialog_gcd_width_step_bump(step: usize) -> usize { + dialog_gcd_step_map_value("DIALOG_GCD_WIDTH_STEP_BUMPS", step) +} + +pub(crate) fn dialog_gcd_body_step_giveback(step: usize) -> usize { + dialog_gcd_step_map_value("DIALOG_GCD_BODY_STEP_GIVEBACKS", step) +} + +pub(crate) fn dialog_gcd_fused_fold_carry_trunc_window( + step: Option, +) -> Option { + step.and_then(|step| { + dialog_gcd_step_map_override("DIALOG_GCD_FOLD_CARRY_TRUNC_STEP_WINDOWS", step) + }) + .filter(|&window| window > 0) + .or_else(fold_only_carry_trunc_window) + .or_else(double_carry_trunc_window) +} + +/// Carry-tail truncation window for the materialized controlled sub/add BODY +/// (and its gated LOAD). Default 0 (OFF). When `w > 0`, the controlled +/// `acc -= ctrl·subtrahend` / `acc += ctrl·addend` only loads + ripples the +/// low `active_width - w` bits. The GCD work registers u/v are bounded by the +/// realizable bitlen, which sits `WIDTH_MARGIN` (=28) bits below `active_width`, +/// so the top `w <= margin` bits of both operands are 0 in the no-truncation +/// regime: the gated LOAD there is `ctrl & 0 = 0` and the body's top carries +/// are 0, so neither the load nor the carry ripple above `active_width - w` +/// affects the result. Failure mode (a step whose realizable bitlen actually +/// reaches into the truncated window) is selected away by the co-tuned reroll, +/// exactly like the global WIDTH_MARGIN — but applied to the sub/add ONLY, +/// leaving the cswap and comparator at full active_width. Returns the truncated +/// body width, clamped to >= 2. pub(crate) fn dialog_gcd_body_carry_band_trim(step: usize) -> Option { let trims = std::env::var("DIALOG_GCD_BODY_CARRY_BAND_TRIMS").ok()?; if trims.trim().is_empty() { @@ -355,44 +393,24 @@ pub(crate) fn dialog_gcd_body_carry_trunc_width(active_width: usize, step: usize if dialog_gcd_trio_width_notch_enabled() && step == dialog_gcd_trio_width_notch_step() { w = w.saturating_add(dialog_gcd_trio_width_notch_extra()); } - - if dialog_gcd_binder_notch_steps().contains(&step) { - w = w.saturating_add(dialog_gcd_binder_notch_extra()); - } - w = w.saturating_add(dialog_gcd_binder_notch_map_extra(step)); - w = w.saturating_sub(dialog_gcd_body_step_giveback(step)); - active_width.saturating_sub(w).max(2) -} - -pub(crate) fn dialog_gcd_vented_body_band_trim_enabled() -> bool { - std::env::var("DIALOG_GCD_VENTED_BODY_BAND_TRIM").ok().as_deref() == Some("1") -} - -pub(crate) fn dialog_gcd_vented_body_width(n: usize, step: usize) -> usize { - if !dialog_gcd_vented_body_band_trim_enabled() { - return n; - } - if let Some(u) = std::env::var("DIALOG_GCD_VENTED_BODY_UNIFORM_TRIM") - .ok() - .and_then(|s| s.parse::().ok()) - .filter(|&u| u > 0) - { - return n.saturating_sub(u).max(2); - } - let mut w = dialog_gcd_body_carry_trunc_width(n, step).min(n).max(2); - - if let Some(cap) = std::env::var("DIALOG_GCD_VENTED_BODY_TRIM_CAP") - .ok() - .and_then(|s| s.parse::().ok()) - { - w = w.max(n.saturating_sub(cap)).min(n); - } - w -} - -pub(crate) fn dialog_gcd_vented_body_odd_lowbit_enabled() -> bool { - std::env::var("DIALOG_GCD_VENTED_BODY_ODD_LOWBIT").ok().as_deref() == Some("1") -} + // Multi-step binder notch (gated, default OFF). When + // DIALOG_GCD_BINDER_NOTCH_STEPS lists `step`, trim an extra + // DIALOG_GCD_BINDER_NOTCH_EXTRA (default 2) high bits off the materialized + // sub/add body at THIS step too. Under the active nocin body the composite + // scratch ask is want = 2*body_len-1, so trimming body_w by k drops the + // owned deficit (and thus the compressed-block trio peak) by k at each + // listed binder step. Value-exact on the reachable GCD support: at the + // width-clamped binder steps the realizable bitlen sits WIDTH_MARGIN below + // active_width, so the trimmed top bits of both operands are |0> (the gated + // load there is ctrl & 0 = 0 and the carry ripple above the cut is 0). + // Absent the env this is a no-op -> byte-identical to the accepted stream. + if dialog_gcd_binder_notch_steps().contains(&step) { + w = w.saturating_add(dialog_gcd_binder_notch_extra()); + } + w = w.saturating_add(dialog_gcd_binder_notch_map_extra(step)); + w = w.saturating_sub(dialog_gcd_body_step_giveback(step)); + active_width.saturating_sub(w).max(2) +} pub(crate) fn dialog_gcd_binder_notch_steps() -> Vec { std::env::var("DIALOG_GCD_BINDER_NOTCH_STEPS") @@ -429,7 +447,8 @@ pub(crate) fn dialog_gcd_binder_notch_map_extra(step: usize) -> usize { } pub(crate) fn dialog_gcd_trio_width_notch_enabled() -> bool { - + // Default-on successor from aaf9616: the current route inherited its body + // geometry, and this one-step notch is needed to reclaim the 1306q tier. std::env::var("DIALOG_GCD_TRIO_WIDTH_NOTCH").ok().as_deref() != Some("0") } @@ -447,69 +466,108 @@ pub(crate) fn dialog_gcd_trio_width_notch_extra() -> usize { .unwrap_or(2) } -pub(crate) fn dialog_gcd_host_gated_enabled() -> bool { +pub(crate) fn dialog_gcd_host_gated_enabled() -> bool { + // Port of our KAL_GZ_EARLY_RECOVER carry-pool relocation: host the + // materialized `gated` register (width = active_width, up to 256 at peak) + // on the provably-|0> future-log slots that already host the ripple carry, + // instead of allocating fresh ancilla. The borrowed slice (when long enough + // for carry + gated = 2n-1) is split: [..n-1] = carry, [n-1..2n-1] = gated. + // Both are restored to |0> (carry by the adder, gated by measurement-clear), + // so the future-log slots are clean for the future blocks that own them. + // Peak-neutral->down: removes the +256 fresh ancilla at the GCD-body peak. + // Default off = byte-identical baseline. std::env::var("DIALOG_GCD_HOST_GATED").ok().as_deref() == Some("1") } pub(crate) fn dialog_gcd_body_host_cin_enabled() -> bool { - + // When the odd-u low-bit fastpath is active (body_start>=1), the low gated + // slot gated[0] is never loaded or cleared, so it stays |0> across the body + // and is distinct from the operands and the borrowed carry lane. Hosting the + // Cuccaro carry-in there instead of a fresh alloc removes the single qubit + // that pinned the materialized add/sub BODY one slot above the marker tier. + // Value-exact (c_in=0 is the carry-in either way; returned to |0>). std::env::var("DIALOG_GCD_BODY_HOST_CIN").ok().as_deref() == Some("1") } pub(crate) fn dialog_gcd_selected_body_nocin_enabled() -> bool { - + // Successor to BODY_HOST_CIN for the odd-lowbit fastpath (body_start>=1): + // the materialized selected add/sub body consumes NO physical incoming-carry + // lane at all. The carry/borrow into body_start=1 is semantically zero on the + // reachable GCD support (subtrahend[0]=1, acc[0]=ctrl), so the Cuccaro chain + // is seeded from the known-zero with the c_in register folded out entirely + // (see cuccaro_{add,sub}_fast_borrowed_carries_no_cin). This drops the + // selected-body host demand from 2*body_w-1 to 2*body_w-3 (one structural gap + // lane + the former c_in lane both vanish), moving the three GCD tobitvector + // siblings off the 1320 tier without reusing the wrapper-unsafe gap-as-c_in + // slice that the COMPACT probe (closed) tried. Default off until traced. matches!( std::env::var("DIALOG_GCD_SELECTED_BODY_NOCIN").ok().as_deref(), Some("1") | Some("2") ) } -pub(crate) fn dialog_gcd_selected_body_nocin_keep_pool() -> bool { - std::env::var("DIALOG_GCD_SELECTED_BODY_NOCIN").ok().as_deref() == Some("2") -} - -pub(crate) fn dialog_gcd_selected_body_stream_suffix_bits(step: usize, body_len: usize) -> usize { - let Ok(map) = std::env::var("DIALOG_GCD_SELECTED_BODY_STREAM_SUFFIX_MAP") else { - return 0; - }; - map.split(',') - .find_map(|entry| { - let (entry_step, entry_bits) = entry.trim().split_once(':')?; - let entry_step = entry_step.parse::().ok()?; - let entry_bits = entry_bits.parse::().ok()?; - (entry_step == step).then_some(entry_bits) - }) - .unwrap_or(0) - .min(body_len.saturating_sub(1)) -} - -pub(crate) fn dialog_gcd_selected_body_stream_top_enabled(step: usize, body_len: usize) -> bool { - dialog_gcd_selected_body_stream_suffix_bits(step, body_len) == 1 -} - -pub(crate) fn dialog_gcd_selected_body_stream_topclean_bits( - step: usize, - prefix_len: usize, -) -> usize { - if prefix_len <= 1 { - return 0; - } - let global = std::env::var("DIALOG_GCD_SELECTED_BODY_STREAM_TOPCLEAN") - .ok() - .and_then(|s| s.parse::().ok()) - .unwrap_or(0); - let mapped = dialog_gcd_step_map_value("DIALOG_GCD_SELECTED_BODY_STREAM_TOPCLEAN_MAP", step); - global.max(mapped).min(prefix_len - 1) -} - -pub(crate) fn dialog_gcd_late_borrow_uv_high_enabled() -> bool { - std::env::var("DIALOG_GCD_LATE_BORROW_UV_HIGH") - .ok() - .as_deref() - == Some("1") -} - +/// Diagnostic mode 2: use the no-c_in BODY but keep the legacy `2n-1` composite +/// pool and BODY_HOST_CIN slice offsets (gated = c[n-1..2n-1], its [0] left +/// unused/clean). This isolates the body arithmetic from the host repack — it +/// yields no peak win (pool unchanged) but, if eval is 0/0/0, proves the no-c_in +/// body is route-correct and any failure under mode 1 is in the host compaction. +pub(crate) fn dialog_gcd_selected_body_nocin_keep_pool() -> bool { + std::env::var("DIALOG_GCD_SELECTED_BODY_NOCIN").ok().as_deref() == Some("2") +} + +/// Per-step count of high source bits streamed through the controlled low-q +/// suffix instead of being materialized. A value of one uses the cheaper +/// top-bit specialization. Default off when the map is absent. +pub(crate) fn dialog_gcd_selected_body_stream_suffix_bits(step: usize, body_len: usize) -> usize { + let Ok(map) = std::env::var("DIALOG_GCD_SELECTED_BODY_STREAM_SUFFIX_MAP") else { + return 0; + }; + map.split(',') + .find_map(|entry| { + let (entry_step, entry_bits) = entry.trim().split_once(':')?; + let entry_step = entry_step.parse::().ok()?; + let entry_bits = entry_bits.parse::().ok()?; + (entry_step == step).then_some(entry_bits) + }) + .unwrap_or(0) + .min(body_len.saturating_sub(1)) +} + +pub(crate) fn dialog_gcd_selected_body_stream_top_enabled(step: usize, body_len: usize) -> bool { + dialog_gcd_selected_body_stream_suffix_bits(step, body_len) == 1 +} + +pub(crate) fn dialog_gcd_selected_body_stream_topclean_bits( + step: usize, + prefix_len: usize, +) -> usize { + if prefix_len <= 1 { + return 0; + } + let global = std::env::var("DIALOG_GCD_SELECTED_BODY_STREAM_TOPCLEAN") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0); + let mapped = dialog_gcd_step_map_value("DIALOG_GCD_SELECTED_BODY_STREAM_TOPCLEAN_MAP", step); + global.max(mapped).min(prefix_len - 1) +} + +pub(crate) fn dialog_gcd_late_borrow_uv_high_enabled() -> bool { + std::env::var("DIALOG_GCD_LATE_BORROW_UV_HIGH") + .ok() + .as_deref() + == Some("1") +} + +/// Pick the carry/gated borrow slice for a GCD step. Prefer the compressed +/// future-log; when it is too short to host the full gated(n)+carry(n-1) lane +/// (late steps, where the compressed future region has shrunk), fall back to the +/// high zero bits of `u`. By the same premise the width truncation relies on, +/// `u < 2^active_width` here so `u[active_width..]` is |0>; it is already +/// allocated, so borrowing it as scratch is peak-neutral and adds no failure +/// modes (any input with nonzero u-high already fails the truncation). The +/// returned slice is disjoint from `u[..active_width]` and the `v` accumulator. pub(crate) fn dialog_gcd_pick_borrow_slice<'a>( future: Option<&'a [QubitId]>, u: &'a [QubitId], @@ -538,90 +596,95 @@ pub(crate) fn dialog_gcd_controlled_sub_selected( if dialog_gcd_raw_tobitvector_materialized_sub_enabled() { let n = subtrahend.len(); let body_w = dialog_gcd_body_carry_trunc_width(n, step); - let odd_lowbit_fast = dialog_gcd_odd_u_lowbit_fastpath_enabled(); - let body_start = if odd_lowbit_fast { 1 } else { 0 }; - let body_len = body_w.saturating_sub(body_start); - let stream_suffix = dialog_gcd_selected_body_stream_suffix_bits(step, body_len); - let nocin_need = if stream_suffix >= 2 - && !dialog_gcd_selected_body_nocin_keep_pool() - { - 2 * (body_len - stream_suffix) + 1 - } else if dialog_gcd_selected_body_stream_top_enabled(step, body_len) - && !dialog_gcd_selected_body_nocin_keep_pool() - && body_len >= 2 - { - 2 * (body_len - 1) - } else if dialog_gcd_selected_body_nocin_keep_pool() { - - (n + body_len).max(2 * body_len - 1) - } else { + let odd_lowbit_fast = dialog_gcd_odd_u_lowbit_fastpath_enabled(); + let body_start = if odd_lowbit_fast { 1 } else { 0 }; + let body_len = body_w.saturating_sub(body_start); + let stream_suffix = dialog_gcd_selected_body_stream_suffix_bits(step, body_len); + let nocin_need = if stream_suffix >= 2 + && !dialog_gcd_selected_body_nocin_keep_pool() + { + 2 * (body_len - stream_suffix) + 1 + } else if dialog_gcd_selected_body_stream_top_enabled(step, body_len) + && !dialog_gcd_selected_body_nocin_keep_pool() + && body_len >= 2 + { + 2 * (body_len - 1) + } else if dialog_gcd_selected_body_nocin_keep_pool() { + // Legacy gated offset c[n..n+body_len] needs the full 2n-1 pool. + (n + body_len).max(2 * body_len - 1) + } else { 2 * body_len - 1 }; let nocin = dialog_gcd_selected_body_nocin_enabled() && body_start >= 1 && body_len >= 1 - && borrowed_carries.map_or(false, |c| c.len() >= nocin_need); - if nocin { - if stream_suffix >= 2 { - let prefix_len = body_len - stream_suffix; - let c = borrowed_carries.expect("nocin requires borrowed carries"); - let (carries, rest) = c.split_at(prefix_len); - let (gated, rest) = rest.split_at(prefix_len); - let scratch = rest[0]; - b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_load"); - for j in 0..prefix_len { - b.ccx(ctrl, subtrahend[body_start + j], gated[j]); - } - b.cx(ctrl, acc[0]); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_body"); - cuccaro_sub_fast_prefix_ctrl_suffix_no_cin( - b, - gated, - &subtrahend[body_start + prefix_len..body_w], - &acc[body_start..body_w], - ctrl, - carries, - scratch, - ); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_clear"); - for j in 0..prefix_len { - let m = b.alloc_bit(); - b.hmr(gated[j], m); - b.cz_if(ctrl, subtrahend[body_start + j], m); - } - return; - } - if dialog_gcd_selected_body_stream_top_enabled(step, body_len) && body_len >= 2 { - let lower_len = body_len - 1; - let c = borrowed_carries.expect("nocin requires borrowed carries"); - let (carries, gated) = c.split_at(lower_len); - let gated = &gated[..lower_len]; - b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_load"); - for j in 0..lower_len { - b.ccx(ctrl, subtrahend[body_start + j], gated[j]); - } - b.cx(ctrl, acc[0]); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_body"); - b.ccx(ctrl, subtrahend[body_w - 1], acc[body_w - 1]); - cuccaro_sub_fast_low_to_ext_borrowed_carries_no_cin( - b, - gated, - &acc[body_start..body_w], - carries, - ); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_clear"); - for j in 0..lower_len { - let m = b.alloc_bit(); - b.hmr(gated[j], m); - b.cz_if(ctrl, subtrahend[body_start + j], m); - } - return; - } - + && borrowed_carries.map_or(false, |c| c.len() >= nocin_need); + if nocin { + if stream_suffix >= 2 { + let prefix_len = body_len - stream_suffix; + let c = borrowed_carries.expect("nocin requires borrowed carries"); + let (carries, rest) = c.split_at(prefix_len); + let (gated, rest) = rest.split_at(prefix_len); + let scratch = rest[0]; + b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_load"); + for j in 0..prefix_len { + b.ccx(ctrl, subtrahend[body_start + j], gated[j]); + } + b.cx(ctrl, acc[0]); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_body"); + cuccaro_sub_fast_prefix_ctrl_suffix_no_cin( + b, + gated, + &subtrahend[body_start + prefix_len..body_w], + &acc[body_start..body_w], + ctrl, + carries, + scratch, + ); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_clear"); + for j in 0..prefix_len { + let m = b.alloc_bit(); + b.hmr(gated[j], m); + b.cz_if(ctrl, subtrahend[body_start + j], m); + } + return; + } + if dialog_gcd_selected_body_stream_top_enabled(step, body_len) && body_len >= 2 { + let lower_len = body_len - 1; + let c = borrowed_carries.expect("nocin requires borrowed carries"); + let (carries, gated) = c.split_at(lower_len); + let gated = &gated[..lower_len]; + b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_load"); + for j in 0..lower_len { + b.ccx(ctrl, subtrahend[body_start + j], gated[j]); + } + b.cx(ctrl, acc[0]); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_body"); + b.ccx(ctrl, subtrahend[body_w - 1], acc[body_w - 1]); + cuccaro_sub_fast_low_to_ext_borrowed_carries_no_cin( + b, + gated, + &acc[body_start..body_w], + carries, + ); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_clear"); + for j in 0..lower_len { + let m = b.alloc_bit(); + b.hmr(gated[j], m); + b.cz_if(ctrl, subtrahend[body_start + j], m); + } + return; + } + // No-physical-c_in body: host demand 2*body_len-1 (== 2*body_w-3). + // carries = borrowed[..body_len-1], gated = borrowed[body_len-1..2*body_len-1]. + // Diagnostic keep-pool (mode 2) instead uses the BODY_HOST_CIN offsets + // (carries low, gated = c[n-1+1..] on the legacy 2n-1 pool) to isolate + // the body arithmetic from the host repack. let c = borrowed_carries.expect("nocin requires borrowed carries"); let (carries, gated): (&[QubitId], &[QubitId]) = if dialog_gcd_selected_body_nocin_keep_pool() { - + // Legacy gated = c[n-1..2n-1]; gated[0]=c[n-1] is the unused + // (clean) former c_in slot, so operand lands on c[n..2n-1]. let carry_need = body_len - 1; (&c[..carry_need], &c[n..n + body_len]) } else { @@ -632,7 +695,9 @@ pub(crate) fn dialog_gcd_controlled_sub_selected( for j in 0..body_len { b.ccx(ctrl, subtrahend[body_start + j], gated[j]); } - + // Reachable GCD states have subtrahend[0]=1 and acc[0]=ctrl here: + // ctrl - ctrl has result bit 0 and no borrow into bit 1 (the omitted + // c_in). This is exactly the premise the no-c_in body relies on. b.cx(ctrl, acc[0]); b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_body"); cuccaro_sub_fast_borrowed_carries_no_cin( @@ -649,7 +714,8 @@ pub(crate) fn dialog_gcd_controlled_sub_selected( } return; } - + // Host the gated register on the tail of the borrowed clean slice when + // it is long enough for both carry (n-1) and gated (n). let gated_host: Option<&[QubitId]> = if dialog_gcd_host_gated_enabled() { borrowed_carries.and_then(|c| { if c.len() >= 2 * n - 1 { @@ -674,7 +740,8 @@ pub(crate) fn dialog_gcd_controlled_sub_selected( b.ccx(ctrl, subtrahend[i], gated[i]); } if odd_lowbit_fast { - + // Reachable GCD states have subtrahend[0]=1 and acc[0]=ctrl here: + // ctrl - ctrl has result bit 0 and no borrow into bit 1. b.cx(ctrl, acc[0]); } b.set_phase("dialog_gcd_raw_tobitvector_materialized_sub_body"); @@ -683,7 +750,8 @@ pub(crate) fn dialog_gcd_controlled_sub_selected( borrowed_carries.filter(|carries| carries.len() >= body_len.saturating_sub(1)) { if dialog_gcd_body_host_cin_enabled() && body_start >= 1 { - + // gated[0] is unused (load/clear start at body_start) and |0>: + // use it as the Cuccaro carry-in, dropping the fresh c_in alloc. cuccaro_sub_fast_borrowed_carries( b, &gated[body_start..body_w], @@ -718,17 +786,7 @@ pub(crate) fn dialog_gcd_controlled_sub_selected( if let Some(vents) = borrowed_carries.filter(|c| n >= 2 && c.len() >= n - 1) { - let bw = dialog_gcd_vented_body_width(n, step); - if dialog_gcd_vented_body_odd_lowbit_enabled() - && dialog_gcd_odd_u_lowbit_fastpath_enabled() - && bw >= 3 - { - - b.cx(ctrl, acc[0]); - cuccaro_sub_ctrl_vented(b, &subtrahend[1..bw], &acc[1..bw], ctrl, &vents[..bw - 2]); - } else { - cuccaro_sub_ctrl_vented(b, &subtrahend[..bw], &acc[..bw], ctrl, &vents[..bw - 1]); - } + cuccaro_sub_ctrl_vented(b, subtrahend, acc, ctrl, &vents[..n - 1]); return; } } @@ -749,86 +807,86 @@ pub(crate) fn dialog_gcd_controlled_add_selected( if dialog_gcd_raw_tobitvector_materialized_sub_enabled() { let n = addend.len(); let body_w = dialog_gcd_body_carry_trunc_width(n, step); - let odd_lowbit_fast = dialog_gcd_odd_u_lowbit_fastpath_enabled(); - let body_start = if odd_lowbit_fast { 1 } else { 0 }; - let body_len = body_w.saturating_sub(body_start); - let stream_suffix = dialog_gcd_selected_body_stream_suffix_bits(step, body_len); - let nocin_need = if stream_suffix >= 2 - && !dialog_gcd_selected_body_nocin_keep_pool() - { - 2 * (body_len - stream_suffix) + 1 - } else if dialog_gcd_selected_body_stream_top_enabled(step, body_len) - && !dialog_gcd_selected_body_nocin_keep_pool() - && body_len >= 2 - { - 2 * (body_len - 1) - } else if dialog_gcd_selected_body_nocin_keep_pool() { - - (n + body_len).max(2 * body_len - 1) - } else { + let odd_lowbit_fast = dialog_gcd_odd_u_lowbit_fastpath_enabled(); + let body_start = if odd_lowbit_fast { 1 } else { 0 }; + let body_len = body_w.saturating_sub(body_start); + let stream_suffix = dialog_gcd_selected_body_stream_suffix_bits(step, body_len); + let nocin_need = if stream_suffix >= 2 + && !dialog_gcd_selected_body_nocin_keep_pool() + { + 2 * (body_len - stream_suffix) + 1 + } else if dialog_gcd_selected_body_stream_top_enabled(step, body_len) + && !dialog_gcd_selected_body_nocin_keep_pool() + && body_len >= 2 + { + 2 * (body_len - 1) + } else if dialog_gcd_selected_body_nocin_keep_pool() { + // Legacy gated offset c[n..n+body_len] needs the full 2n-1 pool. + (n + body_len).max(2 * body_len - 1) + } else { 2 * body_len - 1 }; let nocin = dialog_gcd_selected_body_nocin_enabled() && body_start >= 1 && body_len >= 1 - && borrowed_carries.map_or(false, |c| c.len() >= nocin_need); - if nocin { - if stream_suffix >= 2 { - let prefix_len = body_len - stream_suffix; - let c = borrowed_carries.expect("nocin requires borrowed carries"); - let (carries, rest) = c.split_at(prefix_len); - let (gated, rest) = rest.split_at(prefix_len); - let scratch = rest[0]; - b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_load"); - for j in 0..prefix_len { - b.ccx(ctrl, addend[body_start + j], gated[j]); - } - b.cx(ctrl, acc[0]); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_body"); - cuccaro_add_fast_prefix_ctrl_suffix_no_cin( - b, - gated, - &addend[body_start + prefix_len..body_w], - &acc[body_start..body_w], - ctrl, - carries, - scratch, - ); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_clear"); - for j in 0..prefix_len { - let m = b.alloc_bit(); - b.hmr(gated[j], m); - b.cz_if(ctrl, addend[body_start + j], m); - } - return; - } - if dialog_gcd_selected_body_stream_top_enabled(step, body_len) && body_len >= 2 { - let lower_len = body_len - 1; - let c = borrowed_carries.expect("nocin requires borrowed carries"); - let (carries, gated) = c.split_at(lower_len); - let gated = &gated[..lower_len]; - b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_load"); - for j in 0..lower_len { - b.ccx(ctrl, addend[body_start + j], gated[j]); - } - b.cx(ctrl, acc[0]); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_body"); - cuccaro_add_fast_low_to_ext_borrowed_carries_no_cin( - b, - gated, - &acc[body_start..body_w], - carries, - ); - b.ccx(ctrl, addend[body_w - 1], acc[body_w - 1]); - b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_clear"); - for j in 0..lower_len { - let m = b.alloc_bit(); - b.hmr(gated[j], m); - b.cz_if(ctrl, addend[body_start + j], m); - } - return; - } - + && borrowed_carries.map_or(false, |c| c.len() >= nocin_need); + if nocin { + if stream_suffix >= 2 { + let prefix_len = body_len - stream_suffix; + let c = borrowed_carries.expect("nocin requires borrowed carries"); + let (carries, rest) = c.split_at(prefix_len); + let (gated, rest) = rest.split_at(prefix_len); + let scratch = rest[0]; + b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_load"); + for j in 0..prefix_len { + b.ccx(ctrl, addend[body_start + j], gated[j]); + } + b.cx(ctrl, acc[0]); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_body"); + cuccaro_add_fast_prefix_ctrl_suffix_no_cin( + b, + gated, + &addend[body_start + prefix_len..body_w], + &acc[body_start..body_w], + ctrl, + carries, + scratch, + ); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_clear"); + for j in 0..prefix_len { + let m = b.alloc_bit(); + b.hmr(gated[j], m); + b.cz_if(ctrl, addend[body_start + j], m); + } + return; + } + if dialog_gcd_selected_body_stream_top_enabled(step, body_len) && body_len >= 2 { + let lower_len = body_len - 1; + let c = borrowed_carries.expect("nocin requires borrowed carries"); + let (carries, gated) = c.split_at(lower_len); + let gated = &gated[..lower_len]; + b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_load"); + for j in 0..lower_len { + b.ccx(ctrl, addend[body_start + j], gated[j]); + } + b.cx(ctrl, acc[0]); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_body"); + cuccaro_add_fast_low_to_ext_borrowed_carries_no_cin( + b, + gated, + &acc[body_start..body_w], + carries, + ); + b.ccx(ctrl, addend[body_w - 1], acc[body_w - 1]); + b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_clear"); + for j in 0..lower_len { + let m = b.alloc_bit(); + b.hmr(gated[j], m); + b.cz_if(ctrl, addend[body_start + j], m); + } + return; + } + // No-physical-c_in inverse body: host demand 2*body_len-1 (==2*body_w-3). let c = borrowed_carries.expect("nocin requires borrowed carries"); let (carries, gated): (&[QubitId], &[QubitId]) = if dialog_gcd_selected_body_nocin_keep_pool() { @@ -842,7 +900,8 @@ pub(crate) fn dialog_gcd_controlled_add_selected( for j in 0..body_len { b.ccx(ctrl, addend[body_start + j], gated[j]); } - + // In reverse, acc[0] is zero after unshift and addend[0]=1: adding + // ctrl sets the low result bit with no carry into bit 1 (omitted c_in). b.cx(ctrl, acc[0]); b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_body"); cuccaro_add_fast_borrowed_carries_no_cin( @@ -883,7 +942,8 @@ pub(crate) fn dialog_gcd_controlled_add_selected( b.ccx(ctrl, addend[i], gated[i]); } if odd_lowbit_fast { - + // In reverse, acc[0] is zero after unshift and addend[0]=1: + // adding ctrl sets the low result bit with no carry into bit 1. b.cx(ctrl, acc[0]); } b.set_phase("dialog_gcd_raw_tobitvector_materialized_add_body"); @@ -892,7 +952,8 @@ pub(crate) fn dialog_gcd_controlled_add_selected( borrowed_carries.filter(|carries| carries.len() >= body_len.saturating_sub(1)) { if dialog_gcd_body_host_cin_enabled() && body_start >= 1 { - + // gated[0] is unused (load/clear start at body_start) and |0>: + // use it as the Cuccaro carry-in, dropping the fresh c_in alloc. cuccaro_add_fast_borrowed_carries( b, &gated[body_start..body_w], @@ -927,17 +988,7 @@ pub(crate) fn dialog_gcd_controlled_add_selected( if let Some(vents) = borrowed_carries.filter(|c| n >= 2 && c.len() >= n - 1) { - let bw = dialog_gcd_vented_body_width(n, step); - if dialog_gcd_vented_body_odd_lowbit_enabled() - && dialog_gcd_odd_u_lowbit_fastpath_enabled() - && bw >= 3 - { - - b.cx(ctrl, acc[0]); - cuccaro_add_ctrl_vented(b, &addend[1..bw], &acc[1..bw], ctrl, &vents[..bw - 2]); - } else { - cuccaro_add_ctrl_vented(b, &addend[..bw], &acc[..bw], ctrl, &vents[..bw - 1]); - } + cuccaro_add_ctrl_vented(b, addend, acc, ctrl, &vents[..n - 1]); return; } } @@ -1074,6 +1125,7 @@ pub(crate) fn emit_dialog_gcd_raw_tobitvector_steps_reverse( } } + pub(crate) fn dialog_gcd_cmod_add_pseudomersenne_lowq( b: &mut B, acc: &[QubitId], @@ -1098,9 +1150,17 @@ pub(crate) fn dialog_gcd_cmod_add_pseudomersenne_lowq( b.free(c_in); b.free(a_ovf); + // If the controlled 256-bit add overflowed, subtract p by adding + // c = 2^256 - p to the low word. The low slice is the explicit + // approximation knob: carry beyond this window is treated as a rare + // arithmetic failure branch, not as phase dirt. b.set_phase("dialog_gcd_direct_special_overflow_fold"); cadd_nbit_const_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf); + // For successful branches this is the exact overflow cleanup identity: + // after subtracting p, the final low word is smaller than the addend iff + // the overflow branch happened. The omitted no-overflow sum>=p case is + // the approximation budgeted by the caller. b.set_phase("dialog_gcd_direct_special_overflow_clean"); cmp_lt_into(b, acc, a, acc_ovf); unext_reg(b, acc_ovf); @@ -1204,8 +1264,8 @@ pub(crate) fn dialog_gcd_cmod_add_materialized_pseudomersenne_with_clean_scratch b.free(c_in); b.set_phase("dialog_gcd_materialized_special_overflow_fold"); - if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { - cadd_nbit_const_direct_trunc_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf, w); + if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { + cadd_nbit_const_direct_trunc_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf, w); } else { cadd_nbit_const_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf); } @@ -1242,59 +1302,59 @@ pub(crate) fn dialog_gcd_apply_window_blocks() -> Option { .filter(|&w| w >= 2) } -fn dialog_gcd_clean_truncated_underflow_with_borrowed( - b: &mut B, - acc: &[QubitId], - a: &[QubitId], - ctrl: QubitId, - acc_ovf: QubitId, - step: Option, - borrowed: Option<&[QubitId]>, -) { - let compare_start = N - dialog_gcd_special_underflow_clean_compare_bits(step); - for &q in &a[compare_start..] { - b.x(q); - } +fn dialog_gcd_clean_truncated_underflow_with_borrowed( + b: &mut B, + acc: &[QubitId], + a: &[QubitId], + ctrl: QubitId, + acc_ovf: QubitId, + step: Option, + borrowed: Option<&[QubitId]>, +) { + let compare_start = N - dialog_gcd_special_underflow_clean_compare_bits(step); + for &q in &a[compare_start..] { + b.x(q); + } if dialog_gcd_special_clean_conditional_replay_enabled() { - let phase = b.alloc_bit(); - b.hmr(acc_ovf, phase); - b.z_if(ctrl, phase); - dialog_gcd_cmp_lt_phase_conditioned_hosted( - b, - &acc[compare_start..], - &a[compare_start..], - ctrl, - phase, - borrowed, - ); - } else { - b.cx(ctrl, acc_ovf); - ccx_cmp_lt_into_fast(b, &acc[compare_start..], &a[compare_start..], ctrl, acc_ovf); + let phase = b.alloc_bit(); + b.hmr(acc_ovf, phase); + b.z_if(ctrl, phase); + dialog_gcd_cmp_lt_phase_conditioned_hosted( + b, + &acc[compare_start..], + &a[compare_start..], + ctrl, + phase, + borrowed, + ); + } else { + b.cx(ctrl, acc_ovf); + ccx_cmp_lt_into_fast(b, &acc[compare_start..], &a[compare_start..], ctrl, acc_ovf); } for &q in &a[compare_start..] { b.x(q); - } -} - -pub(crate) fn dialog_gcd_clean_truncated_underflow( - b: &mut B, - acc: &[QubitId], - a: &[QubitId], - ctrl: QubitId, - acc_ovf: QubitId, - step: Option, -) { - dialog_gcd_clean_truncated_underflow_with_borrowed( - b, - acc, - a, - ctrl, - acc_ovf, - step, - None, - ); -} - + } +} + +pub(crate) fn dialog_gcd_clean_truncated_underflow( + b: &mut B, + acc: &[QubitId], + a: &[QubitId], + ctrl: QubitId, + acc_ovf: QubitId, + step: Option, +) { + dialog_gcd_clean_truncated_underflow_with_borrowed( + b, + acc, + a, + ctrl, + acc_ovf, + step, + None, + ); +} + pub(crate) fn dialog_gcd_special_underflow_clean_compare_bits(step: Option) -> usize { dialog_gcd_special_clean_compare_bits_from_env( step, @@ -1302,27 +1362,27 @@ pub(crate) fn dialog_gcd_special_underflow_clean_compare_bits(step: Option) -> usize { - dialog_gcd_special_clean_compare_bits_from_env( - step, - "DIALOG_GCD_SPECIAL_OVERFLOW_CLEAN_STEP_BITS", - ) -} - -pub(crate) fn dialog_gcd_special_fold_carry_trunc_window( - step: Option, -) -> Option { - step.and_then(|step| { - dialog_gcd_step_map_override( - "DIALOG_GCD_SPECIAL_FOLD_CARRY_TRUNC_STEP_WINDOWS", - step, - ) - }) - .filter(|&window| window > 0) - .or_else(fold_carry_trunc_window) -} - -pub(crate) fn dialog_gcd_special_clean_compare_bits_from_env( +pub(crate) fn dialog_gcd_special_overflow_clean_compare_bits(step: Option) -> usize { + dialog_gcd_special_clean_compare_bits_from_env( + step, + "DIALOG_GCD_SPECIAL_OVERFLOW_CLEAN_STEP_BITS", + ) +} + +pub(crate) fn dialog_gcd_special_fold_carry_trunc_window( + step: Option, +) -> Option { + step.and_then(|step| { + dialog_gcd_step_map_override( + "DIALOG_GCD_SPECIAL_FOLD_CARRY_TRUNC_STEP_WINDOWS", + step, + ) + }) + .filter(|&window| window > 0) + .or_else(fold_carry_trunc_window) +} + +pub(crate) fn dialog_gcd_special_clean_compare_bits_from_env( step: Option, env_name: &str, ) -> usize { @@ -1380,24 +1440,24 @@ pub(crate) fn dialog_gcd_clear_controlled_slice_hmr( } } -pub(crate) fn dialog_gcd_chunk_hi(blocks: usize, block: usize, ext_n: usize) -> usize { - if let Some(cuts) = dialog_gcd_apply_chunked_f_cuts() { - assert_eq!( - cuts.len() + 1, - blocks, - "DIALOG_GCD_APPLY_CHUNKED_F_CUTS must contain blocks-1 cuts" - ); - assert!( - cuts.first().is_some_and(|&cut| cut > 0) - && cuts.windows(2).all(|pair| pair[0] < pair[1]) - && cuts.last().is_some_and(|&cut| cut < ext_n), - "DIALOG_GCD_APPLY_CHUNKED_F_CUTS must be strictly increasing in 1..{ext_n}: {cuts:?}" - ); - if block < cuts.len() { - return cuts[block]; - } - } - if blocks == 4 && dialog_gcd_apply_chunked_f_custom4_enabled() { +pub(crate) fn dialog_gcd_chunk_hi(blocks: usize, block: usize, ext_n: usize) -> usize { + if let Some(cuts) = dialog_gcd_apply_chunked_f_cuts() { + assert_eq!( + cuts.len() + 1, + blocks, + "DIALOG_GCD_APPLY_CHUNKED_F_CUTS must contain blocks-1 cuts" + ); + assert!( + cuts.first().is_some_and(|&cut| cut > 0) + && cuts.windows(2).all(|pair| pair[0] < pair[1]) + && cuts.last().is_some_and(|&cut| cut < ext_n), + "DIALOG_GCD_APPLY_CHUNKED_F_CUTS must be strictly increasing in 1..{ext_n}: {cuts:?}" + ); + if block < cuts.len() { + return cuts[block]; + } + } + if blocks == 4 && dialog_gcd_apply_chunked_f_custom4_enabled() { let cuts = [ dialog_gcd_apply_chunked_f_cut().unwrap_or(ext_n / 4), dialog_gcd_apply_chunked_f_cut2().unwrap_or(ext_n / 2), @@ -1436,151 +1496,151 @@ pub(crate) fn dialog_gcd_chunk_hi(blocks: usize, block: usize, ext_n: usize) -> .unwrap_or(2 * ext_n / 3) .min(ext_n - 1); } - ((block + 1) * ext_n) / blocks -} - -fn dialog_gcd_add_fast_with_borrowed_carries( - b: &mut B, - a: &[QubitId], - acc: &[QubitId], - c_in: QubitId, - borrowed: &[QubitId], -) { - let needed = a.len().saturating_sub(1); - let borrowed = &borrowed[..borrowed.len().min(needed)]; - let owned = b.alloc_qubits(needed - borrowed.len()); - let mut carries = Vec::with_capacity(needed); - carries.extend_from_slice(borrowed); - carries.extend_from_slice(&owned); - cuccaro_add_fast_borrowed_carries(b, a, acc, c_in, &carries); - b.free_vec(&owned); -} - -fn dialog_gcd_sub_fast_with_borrowed_carries( - b: &mut B, - a: &[QubitId], - acc: &[QubitId], - c_in: QubitId, - borrowed: &[QubitId], -) { - let needed = a.len().saturating_sub(1); - let borrowed = &borrowed[..borrowed.len().min(needed)]; - let owned = b.alloc_qubits(needed - borrowed.len()); - let mut carries = Vec::with_capacity(needed); - carries.extend_from_slice(borrowed); - carries.extend_from_slice(&owned); - cuccaro_sub_fast_borrowed_carries(b, a, acc, c_in, &carries); - b.free_vec(&owned); -} - -fn dialog_gcd_add_fast_low_to_ext_with_borrowed_carries( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - borrowed: &[QubitId], -) { - let needed = a.len(); - let borrowed = &borrowed[..borrowed.len().min(needed)]; - let owned = b.alloc_qubits(needed - borrowed.len()); - let mut carries = Vec::with_capacity(needed); - carries.extend_from_slice(borrowed); - carries.extend_from_slice(&owned); - cuccaro_add_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, &carries); - b.free_vec(&owned); -} - -fn dialog_gcd_add_fast_low_to_ext_with_borrowed_carries_topclean( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - borrowed_carries: &[QubitId], - clean_top: usize, -) { - let clean_top = clean_top.min(a.len().saturating_sub(1)); - if clean_top == 0 { - return dialog_gcd_add_fast_low_to_ext_with_borrowed_carries( - b, - a, - acc_ext, - c_in, - borrowed_carries, - ); - } - let needed_carries = a.len() - clean_top; - let borrowed = borrowed_carries.len().min(needed_carries); - let owned = b.alloc_qubits(needed_carries - borrowed); - let mut carries = Vec::with_capacity(needed_carries); - carries.extend_from_slice(&borrowed_carries[..borrowed]); - carries.extend_from_slice(&owned); - cuccaro_add_fast_low_to_ext_borrowed_carries_topclean( - b, - a, - acc_ext, - c_in, - &carries, - clean_top, - ); - b.free_vec(&owned); -} - -fn dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - borrowed: &[QubitId], -) { - let needed = a.len(); - let borrowed = &borrowed[..borrowed.len().min(needed)]; - let owned = b.alloc_qubits(needed - borrowed.len()); - let mut carries = Vec::with_capacity(needed); - carries.extend_from_slice(borrowed); - carries.extend_from_slice(&owned); - cuccaro_sub_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, &carries); - b.free_vec(&owned); -} - -fn dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries_topclean( - b: &mut B, - a: &[QubitId], - acc_ext: &[QubitId], - c_in: QubitId, - borrowed_carries: &[QubitId], - clean_top: usize, -) { - let clean_top = clean_top.min(a.len().saturating_sub(1)); - if clean_top == 0 { - return dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries( - b, - a, - acc_ext, - c_in, - borrowed_carries, - ); - } - let needed_carries = a.len() - clean_top; - let borrowed = borrowed_carries.len().min(needed_carries); - let owned = b.alloc_qubits(needed_carries - borrowed); - let mut carries = Vec::with_capacity(needed_carries); - carries.extend_from_slice(&borrowed_carries[..borrowed]); - carries.extend_from_slice(&owned); - cuccaro_sub_fast_low_to_ext_borrowed_carries_topclean( - b, - a, - acc_ext, - c_in, - &carries, - clean_top, - ); - b.free_vec(&owned); -} - -fn dialog_gcd_conditional_boundary_replay( - b: &mut B, - u: &[QubitId], - v: &[QubitId], + ((block + 1) * ext_n) / blocks +} + +fn dialog_gcd_add_fast_with_borrowed_carries( + b: &mut B, + a: &[QubitId], + acc: &[QubitId], + c_in: QubitId, + borrowed: &[QubitId], +) { + let needed = a.len().saturating_sub(1); + let borrowed = &borrowed[..borrowed.len().min(needed)]; + let owned = b.alloc_qubits(needed - borrowed.len()); + let mut carries = Vec::with_capacity(needed); + carries.extend_from_slice(borrowed); + carries.extend_from_slice(&owned); + cuccaro_add_fast_borrowed_carries(b, a, acc, c_in, &carries); + b.free_vec(&owned); +} + +fn dialog_gcd_sub_fast_with_borrowed_carries( + b: &mut B, + a: &[QubitId], + acc: &[QubitId], + c_in: QubitId, + borrowed: &[QubitId], +) { + let needed = a.len().saturating_sub(1); + let borrowed = &borrowed[..borrowed.len().min(needed)]; + let owned = b.alloc_qubits(needed - borrowed.len()); + let mut carries = Vec::with_capacity(needed); + carries.extend_from_slice(borrowed); + carries.extend_from_slice(&owned); + cuccaro_sub_fast_borrowed_carries(b, a, acc, c_in, &carries); + b.free_vec(&owned); +} + +fn dialog_gcd_add_fast_low_to_ext_with_borrowed_carries( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + borrowed: &[QubitId], +) { + let needed = a.len(); + let borrowed = &borrowed[..borrowed.len().min(needed)]; + let owned = b.alloc_qubits(needed - borrowed.len()); + let mut carries = Vec::with_capacity(needed); + carries.extend_from_slice(borrowed); + carries.extend_from_slice(&owned); + cuccaro_add_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, &carries); + b.free_vec(&owned); +} + +fn dialog_gcd_add_fast_low_to_ext_with_borrowed_carries_topclean( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + borrowed_carries: &[QubitId], + clean_top: usize, +) { + let clean_top = clean_top.min(a.len().saturating_sub(1)); + if clean_top == 0 { + return dialog_gcd_add_fast_low_to_ext_with_borrowed_carries( + b, + a, + acc_ext, + c_in, + borrowed_carries, + ); + } + let needed_carries = a.len() - clean_top; + let borrowed = borrowed_carries.len().min(needed_carries); + let owned = b.alloc_qubits(needed_carries - borrowed); + let mut carries = Vec::with_capacity(needed_carries); + carries.extend_from_slice(&borrowed_carries[..borrowed]); + carries.extend_from_slice(&owned); + cuccaro_add_fast_low_to_ext_borrowed_carries_topclean( + b, + a, + acc_ext, + c_in, + &carries, + clean_top, + ); + b.free_vec(&owned); +} + +fn dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + borrowed: &[QubitId], +) { + let needed = a.len(); + let borrowed = &borrowed[..borrowed.len().min(needed)]; + let owned = b.alloc_qubits(needed - borrowed.len()); + let mut carries = Vec::with_capacity(needed); + carries.extend_from_slice(borrowed); + carries.extend_from_slice(&owned); + cuccaro_sub_fast_low_to_ext_borrowed_carries(b, a, acc_ext, c_in, &carries); + b.free_vec(&owned); +} + +fn dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries_topclean( + b: &mut B, + a: &[QubitId], + acc_ext: &[QubitId], + c_in: QubitId, + borrowed_carries: &[QubitId], + clean_top: usize, +) { + let clean_top = clean_top.min(a.len().saturating_sub(1)); + if clean_top == 0 { + return dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries( + b, + a, + acc_ext, + c_in, + borrowed_carries, + ); + } + let needed_carries = a.len() - clean_top; + let borrowed = borrowed_carries.len().min(needed_carries); + let owned = b.alloc_qubits(needed_carries - borrowed); + let mut carries = Vec::with_capacity(needed_carries); + carries.extend_from_slice(&borrowed_carries[..borrowed]); + carries.extend_from_slice(&owned); + cuccaro_sub_fast_low_to_ext_borrowed_carries_topclean( + b, + a, + acc_ext, + c_in, + &carries, + clean_top, + ); + b.free_vec(&owned); +} + +fn dialog_gcd_conditional_boundary_replay( + b: &mut B, + u: &[QubitId], + v: &[QubitId], ctrl: QubitId, c_in: QubitId, targets: &[(QubitId, usize)], @@ -1603,66 +1663,66 @@ fn dialog_gcd_conditional_boundary_replay( carry_in, ctrl, phase, - ); - } -} - -fn dialog_gcd_conditional_boundary_replay_free_owned( - b: &mut B, - u: &[QubitId], - v: &[QubitId], - ctrl: QubitId, - c_in: QubitId, - targets: &[(QubitId, usize, bool)], -) { - assert!(!targets.is_empty()); - assert!(targets.windows(2).all(|w| w[0].1 < w[1].1)); - for index in (0..targets.len()).rev() { - let (target, p, owned_target) = targets[index]; - let (start, carry_in) = if index == 0 { - (0, c_in) - } else { - (targets[index - 1].1, targets[index - 1].0) - }; - let phase = b.alloc_bit(); - b.hmr(target, phase); - if owned_target { - b.free(target); - } - cmp_lt_phase_conditioned_with_cin( - b, - &u[start..p], - &v[start..p], - carry_in, - ctrl, - phase, - ); - } -} - -fn dialog_gcd_apply_auto_topclean_bits( - active_before_ripple: u32, - source_len: usize, - future_boundary_carries: &[QubitId], -) -> usize { - let Some(target) = dialog_gcd_apply_chunked_f_auto_topclean_target() else { - return 0; - }; - if source_len <= 1 { - return 0; - } - let future_borrowed = future_boundary_carries.len().min(source_len); - let owned_carries_without_topclean = source_len - future_borrowed; - let projected_peak = active_before_ripple as usize + owned_carries_without_topclean; - let needed = projected_peak.saturating_sub(target as usize); - needed - .min(dialog_gcd_apply_chunked_f_auto_topclean_max_bits()) - .min(source_len - 1) -} - -pub(crate) fn dialog_gcd_add_ctrl_chunked_low_to_ext( - b: &mut B, - source: &[QubitId], + ); + } +} + +fn dialog_gcd_conditional_boundary_replay_free_owned( + b: &mut B, + u: &[QubitId], + v: &[QubitId], + ctrl: QubitId, + c_in: QubitId, + targets: &[(QubitId, usize, bool)], +) { + assert!(!targets.is_empty()); + assert!(targets.windows(2).all(|w| w[0].1 < w[1].1)); + for index in (0..targets.len()).rev() { + let (target, p, owned_target) = targets[index]; + let (start, carry_in) = if index == 0 { + (0, c_in) + } else { + (targets[index - 1].1, targets[index - 1].0) + }; + let phase = b.alloc_bit(); + b.hmr(target, phase); + if owned_target { + b.free(target); + } + cmp_lt_phase_conditioned_with_cin( + b, + &u[start..p], + &v[start..p], + carry_in, + ctrl, + phase, + ); + } +} + +fn dialog_gcd_apply_auto_topclean_bits( + active_before_ripple: u32, + source_len: usize, + future_boundary_carries: &[QubitId], +) -> usize { + let Some(target) = dialog_gcd_apply_chunked_f_auto_topclean_target() else { + return 0; + }; + if source_len <= 1 { + return 0; + } + let future_borrowed = future_boundary_carries.len().min(source_len); + let owned_carries_without_topclean = source_len - future_borrowed; + let projected_peak = active_before_ripple as usize + owned_carries_without_topclean; + let needed = projected_peak.saturating_sub(target as usize); + needed + .min(dialog_gcd_apply_chunked_f_auto_topclean_max_bits()) + .min(source_len - 1) +} + +pub(crate) fn dialog_gcd_add_ctrl_chunked_low_to_ext( + b: &mut B, + source: &[QubitId], acc_ext: &[QubitId], ctrl: QubitId, c_in: QubitId, @@ -1678,17 +1738,18 @@ pub(crate) fn dialog_gcd_add_ctrl_chunked_low_to_ext( assert_ne!(q, ctrl); assert_ne!(q, c_in); } - let ext_n = acc_ext.len(); - let blocks = blocks.max(2).min(ext_n); - let mut carry = c_in; - let mut lo = 0usize; - - let implicit_high_zero = dialog_gcd_apply_implicit_high_zero_enabled(); - let zero_host = (!implicit_high_zero) - .then(|| clean_scratch.first().copied()) - .flatten(); - let boundary_hosts = &clean_scratch - [usize::from(!implicit_high_zero && zero_host.is_some())..]; + let ext_n = acc_ext.len(); + let blocks = blocks.max(2).min(ext_n); + let mut carry = c_in; + let mut lo = 0usize; + // The low-to-extended-register primitive represents the source high zero + // implicitly. Otherwise reserve one borrowed cell for that transient lane. + let implicit_high_zero = dialog_gcd_apply_implicit_high_zero_enabled(); + let zero_host = (!implicit_high_zero) + .then(|| clean_scratch.first().copied()) + .flatten(); + let boundary_hosts = &clean_scratch + [usize::from(!implicit_high_zero && zero_host.is_some())..]; let mut couts: Vec<(QubitId, usize, bool)> = Vec::new(); for blk in 0..blocks { @@ -1697,17 +1758,17 @@ pub(crate) fn dialog_gcd_add_ctrl_chunked_low_to_ext( continue; } if blk == blocks - 1 || hi == ext_n { - b.set_phase("dialog_gcd_apply_chunk_add_final_load"); - let f = dialog_gcd_load_controlled_slice(b, ctrl, source, lo.min(n), n); - b.set_phase("dialog_gcd_apply_chunk_add_final_ripple"); - let final_topclean = dialog_gcd_apply_final_topclean_bits() - .max(dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), &[])); - if final_topclean > 0 { - cuccaro_add_fast_low_to_ext_topclean(b, &f, &acc_ext[lo..hi], carry, final_topclean); - } else if let Some(window_blocks) = dialog_gcd_apply_final_windowed_fast_blocks() { - cuccaro_add_fast_windowed_low_to_ext( - b, - &f, + b.set_phase("dialog_gcd_apply_chunk_add_final_load"); + let f = dialog_gcd_load_controlled_slice(b, ctrl, source, lo.min(n), n); + b.set_phase("dialog_gcd_apply_chunk_add_final_ripple"); + let final_topclean = dialog_gcd_apply_final_topclean_bits() + .max(dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), &[])); + if final_topclean > 0 { + cuccaro_add_fast_low_to_ext_topclean(b, &f, &acc_ext[lo..hi], carry, final_topclean); + } else if let Some(window_blocks) = dialog_gcd_apply_final_windowed_fast_blocks() { + cuccaro_add_fast_windowed_low_to_ext( + b, + &f, &acc_ext[lo..hi], carry, window_blocks, @@ -1737,56 +1798,56 @@ pub(crate) fn dialog_gcd_add_ctrl_chunked_low_to_ext( } else { (c_in, false) }; - let (cout, owned_cout) = boundary_hosts - .get(couts.len()) - .copied() - .map_or_else(|| (b.alloc_qubit(), true), |q| (q, false)); - let mut acc_block = acc_ext[lo..hi].to_vec(); - acc_block.push(cout); - let future_boundary_carries = if dialog_gcd_apply_borrow_future_boundary_carries_enabled() { - boundary_hosts.get(couts.len() + 1..).unwrap_or(&[]) - } else { - &[] - }; - let topclean_bits = if implicit_high_zero { - dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), future_boundary_carries) - } else { - 0 - }; - b.set_phase("dialog_gcd_apply_chunk_add_ripple"); - if implicit_high_zero { - if topclean_bits > 0 { - dialog_gcd_add_fast_low_to_ext_with_borrowed_carries_topclean( - b, - &f, - &acc_block, - carry, - future_boundary_carries, - topclean_bits, - ); - } else { - dialog_gcd_add_fast_low_to_ext_with_borrowed_carries( - b, - &f, - &acc_block, - carry, - future_boundary_carries, - ); - } - } else { - let mut a_block = f.clone(); - a_block.push(zero); - dialog_gcd_add_fast_with_borrowed_carries( - b, - &a_block, - &acc_block, - carry, - future_boundary_carries, - ); - } - if owned_zero { - b.free(zero); - } + let (cout, owned_cout) = boundary_hosts + .get(couts.len()) + .copied() + .map_or_else(|| (b.alloc_qubit(), true), |q| (q, false)); + let mut acc_block = acc_ext[lo..hi].to_vec(); + acc_block.push(cout); + let future_boundary_carries = if dialog_gcd_apply_borrow_future_boundary_carries_enabled() { + boundary_hosts.get(couts.len() + 1..).unwrap_or(&[]) + } else { + &[] + }; + let topclean_bits = if implicit_high_zero { + dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), future_boundary_carries) + } else { + 0 + }; + b.set_phase("dialog_gcd_apply_chunk_add_ripple"); + if implicit_high_zero { + if topclean_bits > 0 { + dialog_gcd_add_fast_low_to_ext_with_borrowed_carries_topclean( + b, + &f, + &acc_block, + carry, + future_boundary_carries, + topclean_bits, + ); + } else { + dialog_gcd_add_fast_low_to_ext_with_borrowed_carries( + b, + &f, + &acc_block, + carry, + future_boundary_carries, + ); + } + } else { + let mut a_block = f.clone(); + a_block.push(zero); + dialog_gcd_add_fast_with_borrowed_carries( + b, + &a_block, + &acc_block, + carry, + future_boundary_carries, + ); + } + if owned_zero { + b.free(zero); + } b.set_phase("dialog_gcd_apply_chunk_add_clear"); dialog_gcd_clear_controlled_slice_hmr(b, ctrl, source, lo, &f); b.free_vec(&f); @@ -1795,35 +1856,35 @@ pub(crate) fn dialog_gcd_add_ctrl_chunked_low_to_ext( lo = hi; } - let mut boundary_replay_freed_owned = false; - if dialog_gcd_apply_chunked_f_fuse_boundary_clears_enabled() { + let mut boundary_replay_freed_owned = false; + if dialog_gcd_apply_chunked_f_fuse_boundary_clears_enabled() { if let Some(&(_, p, _)) = couts.last() { b.set_phase("dialog_gcd_apply_chunk_add_boundary_clear"); let targets = couts .iter() .map(|&(cout, p, _)| (cout, p)) .collect::>(); - if dialog_gcd_apply_boundary_conditional_replay_enabled() { - if dialog_gcd_apply_boundary_free_owned_during_replay_enabled() { - dialog_gcd_conditional_boundary_replay_free_owned( - b, - &acc_ext[..p], - &source[..p], - ctrl, - c_in, - &couts, - ); - boundary_replay_freed_owned = true; - } else { - dialog_gcd_conditional_boundary_replay( - b, - &acc_ext[..p], - &source[..p], - ctrl, - c_in, - &targets, - ); - } + if dialog_gcd_apply_boundary_conditional_replay_enabled() { + if dialog_gcd_apply_boundary_free_owned_during_replay_enabled() { + dialog_gcd_conditional_boundary_replay_free_owned( + b, + &acc_ext[..p], + &source[..p], + ctrl, + c_in, + &couts, + ); + boundary_replay_freed_owned = true; + } else { + dialog_gcd_conditional_boundary_replay( + b, + &acc_ext[..p], + &source[..p], + ctrl, + c_in, + &targets, + ); + } } else if let Some(split) = dialog_gcd_apply_boundary_split() { ccx_cmp_lt_into_fast_prefix_targets_split( b, @@ -1844,9 +1905,9 @@ pub(crate) fn dialog_gcd_add_ctrl_chunked_low_to_ext( } } for &(cout, _, owned_cout) in couts.iter().rev() { - if owned_cout && !boundary_replay_freed_owned { - b.free(cout); - } + if owned_cout && !boundary_replay_freed_owned { + b.free(cout); + } } } @@ -1868,16 +1929,16 @@ pub(crate) fn dialog_gcd_sub_ctrl_chunked_low_to_ext( assert_ne!(q, ctrl); assert_ne!(q, c_in); } - let ext_n = acc_ext.len(); - let blocks = blocks.max(2).min(ext_n); - let mut borrow = c_in; - let mut lo = 0usize; - let implicit_high_zero = dialog_gcd_apply_implicit_high_zero_enabled(); - let zero_host = (!implicit_high_zero) - .then(|| clean_scratch.first().copied()) - .flatten(); - let boundary_hosts = &clean_scratch - [usize::from(!implicit_high_zero && zero_host.is_some())..]; + let ext_n = acc_ext.len(); + let blocks = blocks.max(2).min(ext_n); + let mut borrow = c_in; + let mut lo = 0usize; + let implicit_high_zero = dialog_gcd_apply_implicit_high_zero_enabled(); + let zero_host = (!implicit_high_zero) + .then(|| clean_scratch.first().copied()) + .flatten(); + let boundary_hosts = &clean_scratch + [usize::from(!implicit_high_zero && zero_host.is_some())..]; let mut bouts: Vec<(QubitId, usize, bool)> = Vec::new(); for blk in 0..blocks { @@ -1886,17 +1947,17 @@ pub(crate) fn dialog_gcd_sub_ctrl_chunked_low_to_ext( continue; } if blk == blocks - 1 || hi == ext_n { - b.set_phase("dialog_gcd_apply_chunk_sub_final_load"); - let f = dialog_gcd_load_controlled_slice(b, ctrl, source, lo.min(n), n); - b.set_phase("dialog_gcd_apply_chunk_sub_final_ripple"); - let final_topclean = dialog_gcd_apply_final_topclean_bits() - .max(dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), &[])); - if final_topclean > 0 { - cuccaro_sub_fast_low_to_ext_topclean(b, &f, &acc_ext[lo..hi], borrow, final_topclean); - } else if let Some(window_blocks) = dialog_gcd_apply_final_windowed_fast_blocks() { - cuccaro_sub_fast_windowed_low_to_ext( - b, - &f, + b.set_phase("dialog_gcd_apply_chunk_sub_final_load"); + let f = dialog_gcd_load_controlled_slice(b, ctrl, source, lo.min(n), n); + b.set_phase("dialog_gcd_apply_chunk_sub_final_ripple"); + let final_topclean = dialog_gcd_apply_final_topclean_bits() + .max(dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), &[])); + if final_topclean > 0 { + cuccaro_sub_fast_low_to_ext_topclean(b, &f, &acc_ext[lo..hi], borrow, final_topclean); + } else if let Some(window_blocks) = dialog_gcd_apply_final_windowed_fast_blocks() { + cuccaro_sub_fast_windowed_low_to_ext( + b, + &f, &acc_ext[lo..hi], borrow, window_blocks, @@ -1926,56 +1987,56 @@ pub(crate) fn dialog_gcd_sub_ctrl_chunked_low_to_ext( } else { (c_in, false) }; - let (bout, owned_bout) = boundary_hosts - .get(bouts.len()) - .copied() - .map_or_else(|| (b.alloc_qubit(), true), |q| (q, false)); - let mut acc_block = acc_ext[lo..hi].to_vec(); - acc_block.push(bout); - let future_boundary_carries = if dialog_gcd_apply_borrow_future_boundary_carries_enabled() { - boundary_hosts.get(bouts.len() + 1..).unwrap_or(&[]) - } else { - &[] - }; - let topclean_bits = if implicit_high_zero { - dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), future_boundary_carries) - } else { - 0 - }; - b.set_phase("dialog_gcd_apply_chunk_sub_ripple"); - if implicit_high_zero { - if topclean_bits > 0 { - dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries_topclean( - b, - &f, - &acc_block, - borrow, - future_boundary_carries, - topclean_bits, - ); - } else { - dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries( - b, - &f, - &acc_block, - borrow, - future_boundary_carries, - ); - } - } else { - let mut a_block = f.clone(); - a_block.push(zero); - dialog_gcd_sub_fast_with_borrowed_carries( - b, - &a_block, - &acc_block, - borrow, - future_boundary_carries, - ); - } - if owned_zero { - b.free(zero); - } + let (bout, owned_bout) = boundary_hosts + .get(bouts.len()) + .copied() + .map_or_else(|| (b.alloc_qubit(), true), |q| (q, false)); + let mut acc_block = acc_ext[lo..hi].to_vec(); + acc_block.push(bout); + let future_boundary_carries = if dialog_gcd_apply_borrow_future_boundary_carries_enabled() { + boundary_hosts.get(bouts.len() + 1..).unwrap_or(&[]) + } else { + &[] + }; + let topclean_bits = if implicit_high_zero { + dialog_gcd_apply_auto_topclean_bits(b.active_qubits, f.len(), future_boundary_carries) + } else { + 0 + }; + b.set_phase("dialog_gcd_apply_chunk_sub_ripple"); + if implicit_high_zero { + if topclean_bits > 0 { + dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries_topclean( + b, + &f, + &acc_block, + borrow, + future_boundary_carries, + topclean_bits, + ); + } else { + dialog_gcd_sub_fast_low_to_ext_with_borrowed_carries( + b, + &f, + &acc_block, + borrow, + future_boundary_carries, + ); + } + } else { + let mut a_block = f.clone(); + a_block.push(zero); + dialog_gcd_sub_fast_with_borrowed_carries( + b, + &a_block, + &acc_block, + borrow, + future_boundary_carries, + ); + } + if owned_zero { + b.free(zero); + } b.set_phase("dialog_gcd_apply_chunk_sub_clear"); dialog_gcd_clear_controlled_slice_hmr(b, ctrl, source, lo, &f); b.free_vec(&f); @@ -1984,38 +2045,38 @@ pub(crate) fn dialog_gcd_sub_ctrl_chunked_low_to_ext( lo = hi; } - let mut boundary_replay_freed_owned = false; - if dialog_gcd_apply_chunked_f_fuse_boundary_clears_enabled() { + let mut boundary_replay_freed_owned = false; + if dialog_gcd_apply_chunked_f_fuse_boundary_clears_enabled() { if let Some(&(_, p, _)) = bouts.last() { b.set_phase("dialog_gcd_apply_chunk_sub_boundary_clear"); for i in 0..p { b.x(source[i]); } - let targets = bouts - .iter() - .map(|&(bout, p, _)| (bout, p)) - .collect::>(); - if dialog_gcd_apply_boundary_conditional_replay_enabled() { - if dialog_gcd_apply_boundary_free_owned_during_replay_enabled() { - dialog_gcd_conditional_boundary_replay_free_owned( - b, - &source[..p], - &acc_ext[..p], - ctrl, - c_in, - &bouts, - ); - boundary_replay_freed_owned = true; - } else { - dialog_gcd_conditional_boundary_replay( - b, - &source[..p], - &acc_ext[..p], - ctrl, - c_in, - &targets, - ); - } + let targets = bouts + .iter() + .map(|&(bout, p, _)| (bout, p)) + .collect::>(); + if dialog_gcd_apply_boundary_conditional_replay_enabled() { + if dialog_gcd_apply_boundary_free_owned_during_replay_enabled() { + dialog_gcd_conditional_boundary_replay_free_owned( + b, + &source[..p], + &acc_ext[..p], + ctrl, + c_in, + &bouts, + ); + boundary_replay_freed_owned = true; + } else { + dialog_gcd_conditional_boundary_replay( + b, + &source[..p], + &acc_ext[..p], + ctrl, + c_in, + &targets, + ); + } } else if let Some(split) = dialog_gcd_apply_boundary_split() { ccx_cmp_lt_into_fast_prefix_targets_split( b, @@ -2045,9 +2106,9 @@ pub(crate) fn dialog_gcd_sub_ctrl_chunked_low_to_ext( } } for &(bout, _, owned_bout) in bouts.iter().rev() { - if owned_bout && !boundary_replay_freed_owned { - b.free(bout); - } + if owned_bout && !boundary_replay_freed_owned { + b.free(bout); + } } } @@ -2083,69 +2144,71 @@ pub(crate) fn dialog_gcd_cmod_add_materialized_pseudomersenne_chunked( b.free(c_in); } - b.set_phase("dialog_gcd_materialized_special_overflow_fold"); - if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { - let borrowed_carries = if std::env::var("DIALOG_GCD_SPECIAL_FOLD_BORROW_CARRIES") - .ok() - .as_deref() - == Some("1") - { - - clean_scratch - } else { - &[] - }; - if std::env::var("DIALOG_GCD_SPECIAL_FOLD_RELEASE_SCRATCH") - .ok() - .as_deref() - == Some("1") - && !borrowed_carries.is_empty() - { - assert_eq!( - std::env::var("DIALOG_GCD_K2_APPLY_INPLACE_RAW_BLOCK") - .ok() - .as_deref(), - Some("1"), - "special-fold scratch release requires owned in-place apply scratch" - ); - cadd_nbit_const_direct_trunc_fast_releasing_scratch_at_step( - b, - &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], - c, - acc_ovf, - w, - borrowed_carries, - step, - ); - } else { - cadd_nbit_const_direct_trunc_fast_borrowed_carries( - b, - &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], - c, - acc_ovf, - w, - borrowed_carries, - ); - } + b.set_phase("dialog_gcd_materialized_special_overflow_fold"); + if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { + let borrowed_carries = if std::env::var("DIALOG_GCD_SPECIAL_FOLD_BORROW_CARRIES") + .ok() + .as_deref() + == Some("1") + { + // The chunk carry-in is back to |0> after the raw sum and is idle + // during the fold, so it is a valid carry host alongside the + // remaining clean scratch. + clean_scratch + } else { + &[] + }; + if std::env::var("DIALOG_GCD_SPECIAL_FOLD_RELEASE_SCRATCH") + .ok() + .as_deref() + == Some("1") + && !borrowed_carries.is_empty() + { + assert_eq!( + std::env::var("DIALOG_GCD_K2_APPLY_INPLACE_RAW_BLOCK") + .ok() + .as_deref(), + Some("1"), + "special-fold scratch release requires owned in-place apply scratch" + ); + cadd_nbit_const_direct_trunc_fast_releasing_scratch_at_step( + b, + &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], + c, + acc_ovf, + w, + borrowed_carries, + step, + ); + } else { + cadd_nbit_const_direct_trunc_fast_borrowed_carries( + b, + &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], + c, + acc_ovf, + w, + borrowed_carries, + ); + } } else { cadd_nbit_const_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf); } - b.set_phase("dialog_gcd_materialized_special_overflow_clean"); - let compare_start = N - dialog_gcd_special_overflow_clean_compare_bits(step); - if dialog_gcd_special_clean_conditional_replay_enabled() { - let phase = b.alloc_bit(); - b.hmr(acc_ovf, phase); - dialog_gcd_cmp_lt_phase_conditioned_hosted( - b, - &acc[compare_start..], - &a[compare_start..], - ctrl, - phase, - Some(clean_scratch), - ); - } else { - ccx_cmp_lt_into_fast(b, &acc[compare_start..], &a[compare_start..], ctrl, acc_ovf); + b.set_phase("dialog_gcd_materialized_special_overflow_clean"); + let compare_start = N - dialog_gcd_special_overflow_clean_compare_bits(step); + if dialog_gcd_special_clean_conditional_replay_enabled() { + let phase = b.alloc_bit(); + b.hmr(acc_ovf, phase); + dialog_gcd_cmp_lt_phase_conditioned_hosted( + b, + &acc[compare_start..], + &a[compare_start..], + ctrl, + phase, + Some(clean_scratch), + ); + } else { + ccx_cmp_lt_into_fast(b, &acc[compare_start..], &a[compare_start..], ctrl, acc_ovf); } unext_reg(b, acc_ovf); } @@ -2182,66 +2245,67 @@ pub(crate) fn dialog_gcd_cmod_sub_materialized_pseudomersenne_chunked( b.free(c_in); } - b.set_phase("dialog_gcd_materialized_special_underflow_fold"); - if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { - let borrowed_carries = if std::env::var("DIALOG_GCD_SPECIAL_FOLD_BORROW_CARRIES") - .ok() - .as_deref() - == Some("1") - { - - clean_scratch - } else { - &[] - }; - if std::env::var("DIALOG_GCD_SPECIAL_FOLD_RELEASE_SCRATCH") - .ok() - .as_deref() - == Some("1") - && !borrowed_carries.is_empty() - { - assert_eq!( - std::env::var("DIALOG_GCD_K2_APPLY_INPLACE_RAW_BLOCK") - .ok() - .as_deref(), - Some("1"), - "special-fold scratch release requires owned in-place apply scratch" - ); - csub_nbit_const_direct_trunc_fast_releasing_scratch_at_step( - b, - &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], - c, - acc_ovf, - w, - borrowed_carries, - step, - ); - } else { - csub_nbit_const_direct_trunc_fast_borrowed_carries( - b, - &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], - c, - acc_ovf, - w, - borrowed_carries, - ); - } + b.set_phase("dialog_gcd_materialized_special_underflow_fold"); + if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { + let borrowed_carries = if std::env::var("DIALOG_GCD_SPECIAL_FOLD_BORROW_CARRIES") + .ok() + .as_deref() + == Some("1") + { + // The chunk borrow-in is back to |0> after the raw difference and + // can host one fold borrow without increasing the live set. + clean_scratch + } else { + &[] + }; + if std::env::var("DIALOG_GCD_SPECIAL_FOLD_RELEASE_SCRATCH") + .ok() + .as_deref() + == Some("1") + && !borrowed_carries.is_empty() + { + assert_eq!( + std::env::var("DIALOG_GCD_K2_APPLY_INPLACE_RAW_BLOCK") + .ok() + .as_deref(), + Some("1"), + "special-fold scratch release requires owned in-place apply scratch" + ); + csub_nbit_const_direct_trunc_fast_releasing_scratch_at_step( + b, + &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], + c, + acc_ovf, + w, + borrowed_carries, + step, + ); + } else { + csub_nbit_const_direct_trunc_fast_borrowed_carries( + b, + &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], + c, + acc_ovf, + w, + borrowed_carries, + ); + } } else { csub_nbit_const_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf); } - - b.set_phase("dialog_gcd_materialized_special_underflow_clean"); - dialog_gcd_clean_truncated_underflow_with_borrowed( - b, - acc, - a, - ctrl, - acc_ovf, - step, - Some(clean_scratch), - ); - unext_reg(b, acc_ovf); -} + + b.set_phase("dialog_gcd_materialized_special_underflow_clean"); + dialog_gcd_clean_truncated_underflow_with_borrowed( + b, + acc, + a, + ctrl, + acc_ovf, + step, + Some(clean_scratch), + ); + unext_reg(b, acc_ovf); +} pub(crate) fn dialog_gcd_cmod_sub_materialized_pseudomersenne( b: &mut B, @@ -2330,7 +2394,9 @@ pub(crate) fn dialog_gcd_cmod_sub_materialized_pseudomersenne_with_clean_scratch b.set_phase("dialog_gcd_materialized_special_raw_difference"); if dialog_gcd_measured_apply_sub_enabled() { - + // Measured (Gidney) difference: ~n Toffoli instead of the ~2n of the + // non-fast cuccaro_sub uncompute. Peak-safe: the symmetric apply ADD + // already runs cuccaro_add_fast with its carry lane in this same phase. let c_in = b.alloc_qubit(); if let Some(w) = dialog_gcd_apply_window_blocks() { cuccaro_sub_fast_windowed_low_to_ext(b, &f, &acc_ext, c_in, w); @@ -2351,8 +2417,8 @@ pub(crate) fn dialog_gcd_cmod_sub_materialized_pseudomersenne_with_clean_scratch } b.set_phase("dialog_gcd_materialized_special_underflow_fold"); - if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { - csub_nbit_const_direct_trunc_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf, w); + if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { + csub_nbit_const_direct_trunc_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf, w); } else { csub_nbit_const_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf); } @@ -2514,8 +2580,8 @@ pub(crate) fn dialog_gcd_cmod_sub_materialized_pseudomersenne_borrowed_subtrahen b.free(f_ovf); b.set_phase("dialog_gcd_materialized_special_borrowed_underflow_fold"); - if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { - csub_nbit_const_direct_trunc_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf, w); + if let Some(w) = dialog_gcd_special_fold_carry_trunc_window(step) { + csub_nbit_const_direct_trunc_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf, w); } else { csub_nbit_const_fast(b, &acc[..DIALOG_GCD_SPECIAL_ADD_LSBS], c, acc_ovf); } @@ -2579,6 +2645,7 @@ pub(crate) fn emit_dialog_gcd_raw_apply_bitvector_reverse_borrowed_subtrahend( } } + pub(crate) fn emit_dialog_gcd_raw_ipmul(b: &mut B, factor: &[QubitId], target: &[QubitId], p: U256) { assert_eq!(factor.len(), N); assert_eq!(target.len(), N); @@ -2803,17 +2870,17 @@ pub(crate) fn emit_dialog_gcd_raw_pa( if dialog_gcd_raw_pa_stop_after_xtail_enabled() { return; } - - b.set_phase("dialog_gcd_raw_pa_c_ox_minus_rx"); - if dialog_fuse_c_form_enabled() { - mod_add_triple_qb(b, tx, ox, p); - } else { - mod_sub_qb(b, tx, ox, p); - mod_neg_inplace_fast(b, tx, p); - } - if dialog_gcd_raw_pa_stop_after_c_enabled() { - return; - } + + b.set_phase("dialog_gcd_raw_pa_c_ox_minus_rx"); + if dialog_fuse_c_form_enabled() { + mod_add_triple_qb(b, tx, ox, p); + } else { + mod_sub_qb(b, tx, ox, p); + mod_neg_inplace_fast(b, tx, p); + } + if dialog_gcd_raw_pa_stop_after_c_enabled() { + return; + } b.set_phase("dialog_gcd_raw_pa_pair2_product"); emit_dialog_gcd_raw_ipmul(b, tx, ty, p); @@ -2823,12 +2890,13 @@ pub(crate) fn emit_dialog_gcd_raw_pa( b.set_phase("dialog_gcd_raw_pa_y_output"); mod_sub_qb(b, ty, oy, p); + + b.set_phase("dialog_gcd_raw_pa_x_restore"); + if dialog_fuse_x_restore_enabled() { + mod_const_minus_reg_qb(b, tx, ox, p); + } else { + mod_neg_inplace_fast(b, tx, p); + mod_add_qb(b, tx, ox, p); + } +} - b.set_phase("dialog_gcd_raw_pa_x_restore"); - if dialog_fuse_x_restore_enabled() { - mod_const_minus_reg_qb(b, tx, ox, p); - } else { - mod_neg_inplace_fast(b, tx, p); - mod_add_qb(b, tx, ox, p); - } -} diff --git a/src/point_add/rounds/mod.rs b/src/point_add/rounds/mod.rs index ef5f502f..d741e1be 100644 --- a/src/point_add/rounds/mod.rs +++ b/src/point_add/rounds/mod.rs @@ -1,4 +1,6 @@ - +//! Round-level routines: the dialog-GCD inversion subsystem (raw and +//! compressed-sidecar variants, the per-step lever readers, and the fused +//! square+xtail helper) plus the top-level `emit_dialog_gcd_raw_pa` driver. use super::*; mod dialog; diff --git a/src/point_add/trailmix_ludicrous/comparator.rs.orig b/src/point_add/trailmix_ludicrous/comparator.rs.orig new file mode 100644 index 00000000..7677d0ee --- /dev/null +++ b/src/point_add/trailmix_ludicrous/comparator.rs.orig @@ -0,0 +1,1063 @@ + +use super::{B, BExt}; +use crate::circuit::QubitId; +use std::cell::Cell; + +thread_local! { + static COMPARE_DIRECT_CALL_INDEX: Cell = const { Cell::new(0) }; + static COMPARE_CIN_CALL_INDEX: Cell = const { Cell::new(0) }; +} + +pub(super) fn reset_compare_call_index() { + COMPARE_DIRECT_CALL_INDEX.with(|index| index.set(0)); + COMPARE_CIN_CALL_INDEX.with(|index| index.set(0)); +} + +fn next_compare_direct_call_index() -> usize { + COMPARE_DIRECT_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +fn next_compare_cin_call_index() -> usize { + COMPARE_CIN_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +const COMPARE_CIN_STRUCTURAL_DEAD_RANGES: &[(usize, usize, usize)] = &[ + (3, 0, 64), + (4, 20, 21), + (4, 23, 64), + (105, 16, 18), + (1257, 0, 2), + (1279, 0, 2), + (1292, 0, 2), + (1305, 0, 2), + (1318, 0, 2), + (1331, 0, 2), + (1344, 0, 2), + (1356, 0, 2), + (1369, 0, 2), + (1382, 0, 2), + (1395, 0, 2), + (1408, 0, 2), + (1422, 0, 2), + (1435, 0, 2), + (1449, 0, 2), + (1463, 0, 2), + (1477, 0, 2), + (1491, 0, 2), + (1506, 0, 2), + (1520, 0, 2), + (1535, 0, 2), + (1551, 0, 2), + (1566, 0, 2), + (1582, 0, 2), + (1599, 0, 2), + (1615, 0, 2), + (1632, 0, 2), + (1652, 0, 2), + (1669, 0, 2), + (1689, 0, 2), + (1706, 0, 2), + (1726, 0, 2), + (1743, 0, 2), + (1760, 0, 2), + (1777, 0, 2), + (1794, 0, 2), + (1812, 0, 2), + (1829, 0, 2), + (1847, 0, 2), + (1866, 0, 2), + (1884, 0, 2), + (1903, 0, 2), + (1923, 0, 2), + (1942, 0, 2), + (1958, 0, 2), + (1974, 0, 2), + (1990, 0, 2), + (2006, 0, 2), + (2023, 0, 2), + (2041, 0, 2), + (2061, 0, 2), + (2086, 0, 2), + (2112, 0, 2), + (2137, 0, 2), + (2161, 0, 2), + (2184, 0, 2), + (2366, 0, 2), + (2389, 0, 2), + (2413, 0, 2), + (2438, 0, 2), + (2464, 0, 2), + (2489, 0, 2), + (2509, 0, 2), + (2527, 0, 2), + (2544, 0, 2), + (2560, 0, 2), + (2576, 0, 2), + (2592, 0, 2), + (2608, 0, 2), + (2627, 0, 2), + (2647, 0, 2), + (2666, 0, 2), + (2684, 0, 2), + (2703, 0, 2), + (2721, 0, 2), + (2738, 0, 2), + (2756, 0, 2), + (2773, 0, 2), + (2790, 0, 2), + (2807, 0, 2), + (2824, 0, 2), + (2844, 0, 2), + (2861, 0, 2), + (2881, 0, 2), + (2898, 0, 2), + (2918, 0, 2), + (2935, 0, 2), + (2951, 0, 2), + (2968, 0, 2), + (2984, 0, 2), + (2999, 0, 2), + (3015, 0, 2), + (3030, 0, 2), + (3044, 0, 2), + (3059, 0, 2), + (3073, 0, 2), + (3087, 0, 2), + (3101, 0, 2), + (3115, 0, 2), + (3128, 0, 2), + (3142, 0, 2), + (3155, 0, 2), + (3168, 0, 2), + (3181, 0, 2), + (3194, 0, 2), + (3206, 0, 2), + (3219, 0, 2), + (3232, 0, 2), + (3245, 0, 2), + (3258, 0, 2), + (3271, 0, 2), + (3293, 0, 2), +]; + +const COMPARE_CIN_REMAINDER_KEYS: &[u32] = &[ + 8, 274, 530, 12817, 12818, 14098, 15377, 15378, 16657, 16658, 17937, 17938, + 19217, 19218, 20497, 20498, 21777, 21778, 23057, 23058, 24337, 24338, 25617, 25618, + 28177, 28178, 29457, 29458, 30737, 30738, 32017, 32018, 33297, 33298, 34577, 34578, + 35857, 35858, 37137, 37138, 38417, 38418, 39697, 39698, 40978, 42257, 42258, 43537, + 43538, 44817, 44818, 46097, 46098, 47378, 48658, 49938, 51218, 52498, 53777, 53778, + 55058, 56337, 56338, 57618, 58898, 60178, 61458, 62738, 64018, 66578, 67858, 69138, + 70674, 71954, 73490, 75026, 76562, 78098, 79634, 81170, 82706, 84242, 87314, 90386, + 94994, 111890, 116498, 121106, 127250, 130322, 131858, 134930, 139538, 141074, + 144146, 145682, 147218, 150290, 151826, 154897, 154898, 156433, 156434, 158226, + 159762, 161554, 165138, 175634, 177426, 179218, 182802, 184594, 186386, 188178, + 189970, 191761, 191762, 193554, 200716, 202509, 209682, 211471, 213264, 216846, + 233734, 235783, 246020, 252163, 254212, 256261, 258306, 260355, 270592, 272641, + 281345, 283666, 288000, 300818, 306962, 311314, 313618, 323858, 326162, 329490, + 332818, 339474, 854546, 867090, 873490, 925704, 929798, 937738, 943115, 946702, + 950288, 952079, 964623, 966418, 970002, 971794, 977170, 1000210, 1002002, 1003794, + 1007122, 1022482, 1031698, 1033234, 1085458, 1091602, 1103378, 1112338, 1121298, + 1127698, 1132818, 1136658, 1148177, 1148178, 1149457, +]; + +fn compare_cin_has_structurally_dead_carry(call_index: usize, bit: usize) -> bool { + if super::drops_off_family("CMPCIN") { + return false; + } + + if std::env::var_os("TLM_COMPARE_SKIP_STRUCTURAL_DEAD_CALLS").is_none() { + return false; + } + if std::env::var_os("TLM_COMPARE_SKIP_EXACT_CIN_REMAINDER").is_some() { + let key = (((call_index as u32) & 0xffff) << 8) | (bit as u32 & 0xff); + if COMPARE_CIN_REMAINDER_KEYS.binary_search(&key).is_ok() { + return true; + } + } + COMPARE_CIN_STRUCTURAL_DEAD_RANGES + .iter() + .any(|&(call, lo, hi)| call == call_index && (lo..=hi).contains(&bit)) +} + +const COMPARE_STRUCTURAL_DEAD_TOP_RANGES: &[(usize, usize, usize)] = &[ + (775, 0, 18), + (776, 0, 18), + (777, 0, 18), + (778, 0, 18), + (779, 0, 18), + (782, 0, 18), + (783, 0, 18), + (784, 0, 18), + (785, 0, 18), + (786, 0, 18), + (788, 0, 18), + (789, 0, 18), + (790, 0, 18), + (791, 0, 18), + (792, 0, 18), + (516, 1, 10), + (1055, 1, 10), + (517, 3, 11), + (518, 5, 13), + (1057, 3, 11), + (1059, 5, 13), + (520, 8, 15), + (519, 7, 13), + (521, 9, 15), + (1061, 7, 13), + (1063, 9, 15), + (1065, 9, 15), + (511, 8, 13), + (522, 10, 15), + (523, 11, 16), + (1067, 10, 15), + (1069, 11, 16), + (507, 11, 15), + (515, 6, 10), + (525, 13, 17), + (526, 14, 18), + (527, 15, 19), + (808, 29, 33), + (1052, 9, 13), + (1071, 12, 16), + (1073, 13, 17), + (1075, 14, 18), + (21, 30, 33), + (23, 30, 33), + (25, 30, 33), + (27, 30, 33), + (29, 30, 33), + (31, 30, 33), + (33, 31, 34), + (505, 12, 15), + (509, 10, 13), + (524, 13, 16), + (537, 25, 28), + (539, 27, 30), + (541, 29, 32), + (543, 31, 34), + (807, 30, 33), + (809, 30, 33), + (810, 30, 33), + (811, 30, 33), + (812, 30, 33), + (813, 31, 34), + (819, 30, 33), + (1049, 12, 15), + (1050, 12, 15), + (1051, 10, 13), + (1053, 8, 11), + (1054, 7, 10), + (1077, 16, 19), + (1081, 17, 20), + (1095, 24, 27), + (1099, 26, 29), + (1101, 27, 30), + (1115, 34, 37), + (1121, 37, 40), + (19, 29, 31), + (35, 32, 34), + (37, 31, 33), + (39, 32, 34), + (41, 32, 34), + (43, 32, 34), + (45, 31, 33), + (47, 33, 35), + (49, 33, 35), + (51, 32, 34), + (53, 32, 34), + (55, 33, 35), + (57, 32, 34), + (61, 34, 36), + (501, 14, 16), + (503, 13, 15), + (513, 9, 11), + (528, 17, 19), + (529, 18, 20), + (533, 21, 23), + (538, 27, 29), + (540, 29, 31), + (542, 31, 33), + (544, 33, 35), + (545, 34, 36), + (546, 35, 37), + (547, 36, 38), + (548, 37, 39), + (550, 39, 41), + (551, 40, 42), + (553, 42, 44), + (555, 43, 45), + (805, 29, 31), + (806, 29, 31), + (814, 32, 34), + (815, 31, 33), + (817, 32, 34), + (818, 32, 34), + (820, 33, 35), + (821, 33, 35), + (822, 32, 34), + (823, 32, 34), + (824, 33, 35), + (825, 32, 34), + (826, 32, 34), + (827, 34, 36), + (829, 33, 35), + (832, 33, 35), + (833, 34, 36), + (1044, 16, 18), + (1047, 14, 16), + (1048, 13, 15), + (1079, 17, 19), + (1097, 26, 28), + (1103, 29, 31), + (1105, 30, 32), + (1109, 32, 34), + (1111, 33, 35), + (1113, 34, 36), + (1117, 36, 38), + (1119, 37, 39), + (1123, 39, 41), + (1125, 40, 42), + (1127, 41, 43), + (1129, 42, 44), + (1131, 43, 45), + (1133, 43, 45), + (1135, 44, 46), + (1137, 45, 47), + (15, 28, 29), + (17, 30, 31), + (59, 33, 34), + (63, 33, 34), + (65, 34, 35), + (67, 34, 35), + (69, 34, 35), + (71, 34, 35), + (73, 35, 36), + (75, 34, 35), + (77, 35, 36), + (79, 35, 36), + (81, 35, 36), + (83, 34, 35), + (85, 35, 36), + (87, 35, 36), + (89, 35, 36), + (91, 35, 36), + (93, 36, 37), + (95, 35, 36), + (97, 36, 37), + (99, 35, 36), + (101, 36, 37), + (105, 36, 37), + (107, 36, 37), + (109, 36, 37), + (111, 36, 37), + (113, 37, 38), + (121, 37, 38), + (123, 37, 38), + (129, 37, 38), + (133, 37, 38), + (137, 38, 39), + (143, 38, 39), + (165, 40, 41), + (177, 40, 41), + (189, 42, 43), + (191, 41, 42), + (203, 42, 43), + (207, 43, 44), + (211, 43, 44), + (213, 42, 43), + (215, 43, 44), + (217, 43, 44), + (221, 44, 45), + (223, 43, 44), + (225, 44, 45), + (227, 44, 45), + (229, 44, 45), + (233, 44, 45), + (245, 45, 46), + (247, 44, 45), + (249, 44, 45), + (255, 44, 45), + (257, 44, 45), + (259, 44, 45), + (261, 45, 46), + (263, 45, 46), + (265, 45, 46), + (285, 45, 46), + (287, 46, 47), + (291, 46, 47), + (299, 45, 46), + (321, 46, 47), + (327, 47, 48), + (333, 47, 48), + (359, 49, 50), + (361, 49, 50), + (395, 50, 51), + (411, 52, 53), + (415, 52, 53), + (421, 52, 53), + (431, 47, 48), + (433, 46, 47), + (439, 44, 45), + (441, 43, 44), + (447, 40, 41), + (449, 39, 40), + (451, 38, 39), + (459, 34, 35), + (461, 33, 34), + (465, 31, 32), + (467, 30, 31), + (471, 28, 29), + (475, 26, 27), + (493, 18, 19), + (495, 17, 18), + (497, 16, 17), + (499, 15, 16), + (530, 19, 20), + (532, 21, 22), + (534, 23, 24), + (536, 26, 27), + (549, 39, 40), + (552, 42, 43), + (554, 44, 45), + (556, 45, 46), + (557, 46, 47), + (558, 47, 48), + (559, 48, 49), + (563, 52, 53), + (568, 52, 53), + (570, 52, 53), + (575, 52, 53), + (592, 49, 50), + (595, 48, 49), + (613, 46, 47), + (621, 45, 46), + (628, 46, 47), + (630, 46, 47), + (631, 44, 44), + (631, 46, 46), + (635, 44, 45), + (639, 44, 45), + (640, 45, 46), + (642, 44, 44), + (642, 46, 46), + (643, 45, 46), + (644, 44, 45), + (645, 44, 45), + (647, 44, 45), + (650, 44, 45), + (651, 45, 46), + (661, 44, 45), + (678, 41, 42), + (679, 42, 43), + (706, 37, 38), + (719, 36, 37), + (721, 36, 37), + (722, 36, 37), + (723, 36, 37), + (742, 33, 34), + (744, 33, 34), + (804, 28, 29), + (816, 33, 34), + (828, 33, 34), + (830, 34, 35), + (831, 34, 35), + (834, 34, 35), + (835, 35, 36), + (836, 35, 36), + (837, 35, 36), + (838, 34, 35), + (839, 35, 36), + (840, 35, 36), + (841, 35, 36), + (842, 35, 36), + (844, 35, 36), + (845, 36, 37), + (846, 35, 36), + (847, 36, 37), + (849, 36, 37), + (850, 36, 37), + (851, 36, 37), + (856, 37, 38), + (858, 37, 38), + (860, 37, 38), + (864, 37, 38), + (865, 38, 39), + (891, 42, 43), + (892, 41, 42), + (898, 42, 43), + (900, 43, 44), + (901, 42, 43), + (904, 43, 44), + (905, 43, 44), + (907, 44, 45), + (908, 43, 44), + (909, 44, 45), + (911, 44, 45), + (912, 44, 45), + (913, 44, 45), + (919, 45, 46), + (920, 44, 45), + (921, 44, 45), + (923, 44, 45), + (924, 44, 45), + (925, 44, 45), + (926, 44, 45), + (927, 45, 46), + (928, 45, 46), + (930, 45, 46), + (931, 44, 45), + (938, 46, 47), + (940, 46, 47), + (941, 45, 46), + (942, 46, 47), + (973, 49, 50), + (979, 49, 50), + (980, 49, 50), + (981, 49, 50), + (983, 50, 51), + (985, 50, 51), + (988, 50, 51), + (992, 50, 51), + (996, 51, 52), + (997, 51, 52), + (1003, 52, 53), + (1004, 52, 53), + (1005, 52, 53), + (1008, 51, 52), + (1009, 50, 51), + (1012, 47, 48), + (1013, 46, 47), + (1016, 44, 45), + (1020, 40, 41), + (1022, 38, 39), + (1023, 37, 38), + (1026, 34, 35), + (1028, 32, 33), + (1030, 30, 31), + (1031, 29, 30), + (1032, 28, 29), + (1033, 27, 28), + (1034, 26, 27), + (1043, 18, 19), + (1045, 16, 17), + (1046, 15, 16), + (1083, 19, 20), + (1085, 20, 21), + (1087, 21, 22), + (1089, 22, 23), + (1091, 23, 24), + (1093, 24, 25), + (1107, 32, 33), + (1139, 46, 46), + (1139, 48, 48), + (1145, 50, 51), + (1155, 52, 53), + (1163, 52, 53), + (1169, 51, 52), + (1201, 49, 50), + (1245, 47, 48), + (1267, 46, 47), + (1281, 45, 46), + (1283, 46, 47), + (1301, 44, 45), + (1307, 45, 46), + (1309, 45, 46), + (1313, 44, 45), + (1317, 44, 45), + (1339, 44, 45), + (1341, 44, 45), + (1343, 44, 45), + (1379, 41, 42), + (1381, 42, 43), + (1461, 36, 37), + (1471, 35, 36), + (1493, 35, 36), + (1497, 35, 36), + (1525, 32, 33), + (1539, 32, 33), +]; + +const COMPARE_DIRECT_REMAINDER_KEYS: &[u32] = &[ + 530, 3356, 26405, 29478, 29990, 30502, 32038, 32550, 33574, 34598, 35623, 36135, + 37159, 37671, 38184, 38696, 39209, 39720, 40231, 40744, 41256, 41769, 42794, 43304, + 43816, 44329, 44841, 45865, 46377, 46889, 47402, 47913, 49449, 49961, 50475, 50986, + 51498, 52523, 53547, 56107, 59181, 60204, 61229, 61740, 62253, 64301, 64813, 68398, + 68909, 69422, 69934, 70957, 71470, 71981, 72495, 74030, 75054, 76079, 77103, 77615, + 78126, 78639, 79151, 79663, 80175, 80687, 81200, 81712, 82737, 84272, 84784, 85809, + 86320, 86832, 87345, 87857, 88369, 88882, 89393, 89905, 90418, 90929, 92978, 93490, + 94002, 94514, 95026, 95539, 96052, 96563, 97075, 97587, 98099, 98611, 99123, 99636, + 100147, 100659, 101685, 102196, 102708, 103220, 103731, 104245, 104756, 105781, 106805, 107317, + 108340, 108851, 109362, 109873, 111406, 111917, 113451, 113962, 116006, 116517, 117028, 118561, + 120094, 121116, 123159, 125204, 125715, 135957, 136985, 143410, 143667, 143924, 144437, 144693, + 144948, 145205, 145716, 146227, 146484, 146996, 147507, 147762, 148276, 148531, 148787, 149043, + 149299, 149555, 150068, 150578, 151090, 151346, 151858, 152624, 152882, 153137, 153393, 153650, + 153905, 154161, 154417, 154672, 154928, 155184, 155440, 155696, 155952, 156208, 156464, 156721, + 157232, 157488, 157743, 157999, 158255, 158511, 158767, 159279, 159790, 160047, 160302, 160558, + 161070, 161839, 162093, 163374, 164142, 165421, 166189, 166957, 167212, 167980, 168237, 168493, + 168749, 169005, 169515, 169773, 170284, 170540, 170795, 171052, 171307, 171564, 172075, 172586, + 172843, 173353, 174633, 175145, 175401, 175913, 176424, 176682, 177193, 177448, 177704, 177959, + 178215, 178473, 178728, 178984, 179239, 179495, 179751, 180007, 180263, 180519, 181030, 181542, + 181798, 182310, 182822, 183078, 183590, 183845, 185380, 185892, 186149, 186404, 187172, 187940, + 188196, 188451, 188708, 188963, 189219, 189475, 189731, 190244, 191266, 191522, 191779, 192287, + 192546, 192802, 193313, 193570, 194081, 194593, 194849, 195105, 205596, 215845, 217125, 218149, + 218406, 218662, 218918, 219430, 219942, 220454, 220710, 220966, 221735, 221991, 222247, 222503, + 222759, 223016, 223272, 223529, 223784, 224296, 224552, 224809, 225065, 225322, 225576, 225832, + 226089, 226345, 226601, 226857, 227113, 227369, 227626, 227881, 228649, 228905, 229163, 229418, + 229674, 230187, 230956, 231211, 231979, 233005, 234028, 234284, 234541, 234796, 235053, 236077, + 237870, 238638, 238894, 239149, 239405, 239662, 239917, 240430, 241454, 241710, 241967, 242222, + 242479, 242735, 243247, 243503, 243759, 244015, 244271, 244528, 244784, 245039, 245297, 245552, + 245808, 246064, 246320, 246576, 246833, 247088, 247344, 247601, 247857, 248112, 248370, 248625, + 248881, 249393, 249649, 249906, 250162, 250418, 251442, 251956, 252467, 252723, 253235, 253491, + 253748, 254259, 254515, 254773, 255540, 255795, 256053, 256308, 256565, 257589, 257845, 258610, + 258865, 259630, 259885, 260396, 260651, 260906, 261416, 262181, 262436, 262946, 263456, 265240, + 266005, 266516, 266771, 292145, 292658, 293684, 294197, 294709, 295221, 296245, 296757, 297268, + 299828, 300341, 300851, 301875, 302388, 302899, 303411, 304947, 305459, 305972, 306483, 306994, + 308018, 308530, 309042, 309554, 310577, 313138, 313649, 314161, 315184, 315696, 316209, 316720, + 317232, 317744, 318256, 319281, 319791, 320304, 320816, 321327, 321838, 322351, 323375, 325422, + 325935, 326446, 326958, 327471, 329006, 329519, 331565, 332590, 333614, 334126, 335661, 336685, + 338221, 338733, 339246, 341804, 342317, 344365, 345389, 346412, 346923, 347948, 348459, 348972, + 349995, 350506, 358184, 359210, 359721, 360233, 360744, 361256, 362280, 363304, 363816, 365351, + 365863, 366887, 367910, 368422, 369446, 369958, 370470, 370982, 372006, 372518, 374565, 375589, + 376101, 377125, 377635, 378149, 378660, 379171, 379684, 380196, 380707, 381220, 381732, 382755, + 383779, 384291, 384803, 385315, 385826, 386340, 386850, 387362, 387875, 388386, 388898, 389410, + 389923, 390946, 391970, 392481, 393506, 394529, 395553, 396065, +]; + +fn compare_call_has_structurally_dead_top(call_index: usize, bit: usize) -> bool { + if super::drops_off_family("CMPTOP") { + return false; + } + + if std::env::var_os("TLM_COMPARE_SKIP_STRUCTURAL_DEAD_CALLS").is_none() { + return false; + } + if std::env::var_os("TLM_COMPARE_SKIP_EXACT_REMAINDER").is_some() { + let key = (((call_index as u32) & 0xffff) << 8) | (bit as u32 & 0xff); + if COMPARE_DIRECT_REMAINDER_KEYS.binary_search(&key).is_ok() { + return true; + } + } + COMPARE_STRUCTURAL_DEAD_TOP_RANGES + .iter() + .any(|&(call, lo, hi)| call == call_index && (lo..=hi).contains(&bit)) +} + +fn compare_geq_chunked_middle_direct( + circ: &mut B, + a: &[QubitId], + b: &[QubitId], + body: F, + k: usize, +) { + let call_index = next_compare_direct_call_index(); + let ops_start = circ.current_ops_len(); + let n = a.len(); + assert_eq!( + b.len(), + n, + "compare_geq_chunked_middle_direct: a,b equal width" + ); + assert!( + n > 0, + "compare_geq_chunked_middle_direct: nonempty operands" + ); + let k = super::target_qubit_headroom(circ) + .map_or(k, |headroom| k.min(headroom.saturating_sub(1))) + .min(n); + let split = n - k; + let mut cy: Vec> = (0..=n).map(|_| None).collect(); + let c = circ.alloc_qubit(); + circ.x(c); + + for i in 0..split { + circ.x(b[i]); + circ.cx(c, b[i]); + circ.cx(c, a[i]); + circ.ccx(a[i], b[i], c); + } + cy[split] = Some(c); + + for i in split..n { + let next = circ.alloc_qubit(); + { + let ci = cy[i].as_ref().unwrap(); + circ.x(b[i]); + circ.cx(*ci, b[i]); + circ.cx(*ci, a[i]); + if !compare_call_has_structurally_dead_top(call_index, i) { + let old_context = crate::point_add::set_op_trace_context( + 0x0400_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(a[i], b[i], next); + crate::point_add::restore_op_trace_context(old_context); + } + circ.cx(*ci, next); + } + cy[i + 1] = Some(next); + } + body(circ, cy[n].as_ref().unwrap()); + + for i in (split..n).rev() { + let next = cy[i + 1].take().unwrap(); + circ.cx(*cy[i].as_ref().unwrap(), next); + let bit = circ.alloc_bit(); + circ.hmr(next, bit); + circ.zero_and_free(next); + circ.cz_if_bit(a[i], b[i], bit); + circ.cx(*cy[i].as_ref().unwrap(), a[i]); + circ.cx(*cy[i].as_ref().unwrap(), b[i]); + circ.x(b[i]); + } + + let c = cy[split].take().unwrap(); + for i in (0..split).rev() { + circ.ccx(a[i], b[i], c); + circ.cx(c, a[i]); + circ.cx(c, b[i]); + circ.x(b[i]); + } + circ.x(c); + circ.zero_and_free(c); + if std::env::var_os("TRACE_TLM_COMPARE_DIRECT").is_some() { + eprintln!( + "TLM_COMPARE_DIRECT call={} phase={} n={} k={} split={} ops_start={} ops_end={}", + call_index, + circ.phase, + n, + k, + split, + ops_start, + circ.current_ops_len(), + ); + } +} + +pub fn compare_geq_chunked_middle( + circ: &mut B, + a: &[QubitId], + b: &[QubitId], + flag: &QubitId, + body: F, + k: usize, +) { + assert_eq!( + b.len(), + a.len(), + "compare_geq_chunked_middle: a,b equal width" + ); + if a.is_empty() { + circ.x(*flag); + body(circ, flag); + circ.x(*flag); + return; + } + compare_geq_chunked_middle_direct( + circ, + a, + b, + |c, carry| { + c.cx(*carry, *flag); + body(c, flag); + c.cx(*carry, *flag); + }, + k, + ); +} + +pub fn controlled_swap_decision_lt_truncated( + circ: &mut B, + ctrl: &QubitId, + u: &[QubitId], + v: &[QubitId], + k: usize, + target: &QubitId, +) { + assert!( + k > 0 && k <= u.len() && k <= v.len(), + "k must fit in both operands" + ); + let u_top: Vec = u[u.len() - k..].to_vec(); + let v_top: Vec = v[v.len() - k..].to_vec(); + + let ck = super::next_cmp_k().saturating_add(1); + compare_geq_chunked_middle_direct( + circ, + &u_top, + &v_top, + |c, carry| { + c.x(*carry); + c.ccx(*ctrl, *carry, *target); + c.x(*carry); + }, + ck, + ); +} + +pub fn compare_geq_cin_middle( + circ: &mut B, + a: &[QubitId], + b: &[QubitId], + cin: &QubitId, + body: F, +) { + let call_index = next_compare_cin_call_index(); + let n = a.len(); + assert_eq!(b.len(), n, "compare_geq_cin_middle: a,b equal width"); + assert!(n >= 1, "needs >= 1 bit"); + let mut cy: Vec> = Vec::with_capacity(n); + let c0 = circ.alloc_qubit(); + circ.x(c0); + circ.cx(*cin, c0); + cy.push(Some(c0)); + for i in 0..n - 1 { + let next = circ.alloc_qubit(); + let ci = cy[i].as_ref().unwrap(); + circ.x(b[i]); + circ.cx(*ci, b[i]); + circ.cx(*ci, a[i]); + let old_context = crate::point_add::set_op_trace_context( + 0x1300_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + if !compare_cin_has_structurally_dead_carry(call_index, i) { + circ.ccx(a[i], b[i], next); + } + crate::point_add::restore_op_trace_context(old_context); + circ.cx(*ci, next); + cy.push(Some(next)); + } + + { + let i = n - 1; + let ci = cy[i].as_ref().unwrap(); + circ.x(b[i]); + circ.cx(*ci, b[i]); + circ.cx(*ci, a[i]); + body(circ, &a[i], &b[i], ci); + circ.cx(*ci, a[i]); + circ.cx(*ci, b[i]); + circ.x(b[i]); + } + + for i in (0..n - 1).rev() { + let next = cy[i + 1].take().unwrap(); + let ci_raw = cy[i].as_ref().unwrap(); + circ.cx(*ci_raw, next); + let bit = circ.alloc_bit(); + circ.hmr(next, bit); + circ.zero_and_free(next); + circ.cz_if_bit(a[i], b[i], bit); + circ.cx(*cy[i].as_ref().unwrap(), a[i]); + circ.cx(*cy[i].as_ref().unwrap(), b[i]); + circ.x(b[i]); + } + let c0 = cy[0].take().unwrap(); + circ.cx(*cin, c0); + circ.x(c0); + circ.zero_and_free(c0); +} + +pub fn swap_decision_uncompute_vented( + circ: &mut B, + ctrl: &QubitId, + v: &[QubitId], + u: &[QubitId], + k: usize, + flag: &QubitId, +) { + assert!( + k > 0 && k <= v.len() && k <= u.len(), + "k must fit in both operands" + ); + let v_top: Vec = v[v.len() - k..].to_vec(); + let u_top: Vec = u[u.len() - k..].to_vec(); + + let ck = super::next_cmp_k().saturating_add(1); + let bit = circ.alloc_bit(); + circ.hmr(*flag, bit); + circ.push_condition(bit); + compare_geq_chunked_middle_direct( + circ, + &v_top, + &u_top, + |c, carry| { + + c.x(*carry); + c.cz(*ctrl, *carry); + c.x(*carry); + }, + ck, + ); + circ.pop_condition(); +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::circuit::OperationType; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake256, + }; + + fn alloc_case(circ: &mut B, n: usize) -> (Vec, Vec, QubitId, QubitId) { + let a = (0..n).map(|_| circ.alloc_qubit()).collect(); + let b = (0..n).map(|_| circ.alloc_qubit()).collect(); + let ctrl = circ.alloc_qubit(); + let target = circ.alloc_qubit(); + (a, b, ctrl, target) + } + + fn xor_value(circ: &mut B, qs: &[QubitId], value: usize) { + for (i, &q) in qs.iter().enumerate() { + if (value >> i) & 1 != 0 { + circ.x(q); + } + } + } + + fn simulate(circ: &B) -> (Vec, u64) { + let mut shake = Shake256::default(); + shake.update(b"comparator-direct-final-carry-test"); + let mut xof = shake.finalize_xof(); + let mut sim = + Simulator::new(circ.next_qubit as usize, circ.next_bit as usize, &mut xof); + sim.apply_iter(circ.ops.iter()); + (sim.qubits, sim.phase) + } + + fn read_uniform(qs: &[QubitId], qubits: &[u64]) -> usize { + qs.iter().enumerate().fold(0usize, |value, (i, q)| { + let lane = qubits[q.0 as usize]; + assert!( + lane == 0 || lane == u64::MAX, + "nonuniform data lane q{}", + q.0 + ); + value | (usize::from(lane == u64::MAX) << i) + }) + } + + fn toffoli_count(circ: &B) -> usize { + circ.ops + .iter() + .filter(|op| matches!(op.kind, OperationType::CCX | OperationType::CCZ)) + .count() + } + + #[test] + fn direct_final_carry_is_exhaustive_for_small_widths() { + for n in 1..=4 { + let limit = 1usize << n; + for held in 0..=n { + for a_value in 0..limit { + for b_value in 0..limit { + for ctrl_value in 0..=1usize { + for target_value in 0..=1usize { + let mut circ = B::new(); + let (a, b, ctrl, target) = alloc_case(&mut circ, n); + xor_value(&mut circ, &a, a_value); + xor_value(&mut circ, &b, b_value); + if ctrl_value != 0 { + circ.x(ctrl); + } + if target_value != 0 { + circ.x(target); + } + compare_geq_chunked_middle_direct( + &mut circ, + &a, + &b, + |c, carry| { + c.x(*carry); + c.ccx(ctrl, *carry, target); + c.cz(ctrl, *carry); + c.x(*carry); + }, + held, + ); + + assert_eq!(circ.active_qubits as usize, 2 * n + 2); + let (qubits, phase) = simulate(&circ); + let predicate = ctrl_value != 0 && a_value < b_value; + assert_eq!(read_uniform(&a, &qubits), a_value); + assert_eq!(read_uniform(&b, &qubits), b_value); + assert_eq!( + qubits[ctrl.0 as usize], + if ctrl_value != 0 { u64::MAX } else { 0 } + ); + assert_eq!( + qubits[target.0 as usize], + if (target_value != 0) ^ predicate { + u64::MAX + } else { + 0 + }, + ); + assert_eq!(phase, if predicate { u64::MAX } else { 0 }); + assert!(qubits[2 * n + 2..].iter().all(|&q| q == 0)); + } + } + } + } + } + } + } + + #[test] + fn freed_predicate_lane_funds_one_held_carry() { + for n in 1..=8 { + for held in 0..n { + let mut legacy = B::new(); + let (a, b, ctrl, target) = alloc_case(&mut legacy, n); + let flag = legacy.alloc_qubit(); + compare_geq_chunked_middle( + &mut legacy, + &a, + &b, + &flag, + |c, flag| { + c.x(*flag); + c.ccx(ctrl, *flag, target); + c.x(*flag); + }, + held, + ); + legacy.zero_and_free(flag); + + let mut direct = B::new(); + let (a, b, ctrl, target) = alloc_case(&mut direct, n); + compare_geq_chunked_middle_direct( + &mut direct, + &a, + &b, + |c, carry| { + c.x(*carry); + c.ccx(ctrl, *carry, target); + c.x(*carry); + }, + held + 1, + ); + + assert_eq!( + direct.peak_qubits, legacy.peak_qubits, + "n={n} held={held}" + ); + assert_eq!( + toffoli_count(&direct) + 1, + toffoli_count(&legacy), + "n={n} held={held}", + ); + } + } + } +} diff --git a/src/point_add/trailmix_ludicrous/gcd.rs.orig b/src/point_add/trailmix_ludicrous/gcd.rs.orig new file mode 100644 index 00000000..f723a269 --- /dev/null +++ b/src/point_add/trailmix_ludicrous/gcd.rs.orig @@ -0,0 +1,1889 @@ + +use super::arith::{self, F_SECP256K1}; +use super::schedule::{GAP_J2, ITERS, JUMP, SCHED_J2}; + +fn gap_j2_delta() -> usize { + std::env::var("TLM_GAP_J2_DELTA") + .ok() + .and_then(|v| v.parse::().ok()) + .unwrap_or(0) +} + +fn gap_j2_mask_trunc_only() -> bool { + std::env::var("TLM_GAP_J2_TRUNC_ONLY").ok().as_deref() == Some("1") +} + +// cmp window for step i: baseline is min(GAP_J2[i], current_n). +// Delta narrows it; TRUNC_ONLY restricts narrowing to steps where the +// baseline window is ALREADY a strict truncation (GAP_J2[i] < current_n), +// leaving the exact-comparison tail steps untouched. +fn cmp_window(i: usize, current_n: usize) -> usize { + let g = GAP_J2[i] as usize; + let base = g.min(current_n).max(1); + let d = gap_j2_delta(); + if d == 0 { + return base; + } + if gap_j2_mask_trunc_only() && g >= current_n { + return base; + } + let lo = std::env::var("TLM_GAP_J2_LO").ok().and_then(|v| v.parse::().ok()).unwrap_or(0); + let hi = std::env::var("TLM_GAP_J2_HI").ok().and_then(|v| v.parse::().ok()).unwrap_or(usize::MAX); + if i < lo || i >= hi { + return base; + } + base.saturating_sub(d).max(1) +} + +use super::{B, BExt}; +use crate::circuit::{QubitId}; +use std::cell::Cell; + +thread_local! { + static RIGHT_SHIFT_CALL_INDEX: Cell = const { Cell::new(0) }; + static LEFT_SHIFT_CALL_INDEX: Cell = const { Cell::new(0) }; +} + +pub(super) fn reset_gcd_trace_call_index() { + RIGHT_SHIFT_CALL_INDEX.with(|index| index.set(0)); + LEFT_SHIFT_CALL_INDEX.with(|index| index.set(0)); +} + +fn next_right_shift_call_index() -> usize { + RIGHT_SHIFT_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +fn next_left_shift_call_index() -> usize { + LEFT_SHIFT_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +#[derive(Clone, Copy, PartialEq, Eq, Debug)] +pub enum Direction { + + Inverse, + + Forward, +} + +#[must_use] +pub fn q_secp256k1_le() -> [u8; 32] { + let mut b = [0xFFu8; 32]; + b[0] = 0x2F; + b[1] = 0xFC; + b[4] = 0xFE; + b +} + +#[must_use] +pub fn n3_for_iters(iters: usize) -> usize { + iters / 3 +} + +fn env_i32(name: &str, default: i32) -> i32 { + std::env::var(name) + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(default) +} + +fn env_usize(name: &str, default: usize) -> usize { + std::env::var(name) + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(default) +} + +fn adjust_gcd_k(prefix: &str, i: usize, k: usize) -> usize { + if k == usize::MAX { + return k; + } + let adjust = env_i32(&format!("{prefix}_ADJUST"), 0); + let after = env_usize(&format!("{prefix}_ADJUST_AFTER"), 0); + let before = env_usize(&format!("{prefix}_ADJUST_BEFORE"), usize::MAX); + if i >= after && i < before && adjust != 0 { + (k as i32).saturating_add(adjust).max(0) as usize + } else { + k + } +} + +fn maybe_adjust_late_gcd_k(i: usize, k: usize) -> usize { + let k = adjust_gcd_k("TLM_GCD_K", i, k); + adjust_gcd_k("TLM_GCD_K_EXTRA", i, k) +} + +fn trace_step_regions(circ: &mut B, direction: &str, i: usize, region_start: usize) { + if std::env::var("TRACE_TLM_GCD_STEPS").is_err() { + return; + } + let threshold = std::env::var("TRACE_TLM_GCD_MIN_Q") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(1150); + let step_max = circ.phase_active_regions[region_start..] + .iter() + .map(|(_, _, active)| *active) + .max() + .unwrap_or(circ.active_qubits); + if step_max >= threshold { + eprintln!( + "TLM_GCD_STEP direction={direction} i={i} active_max={step_max} global_peak={} ops={}", + circ.peak_qubits, + circ.current_ops_len(), + ); + for (_, phase, active) in &circ.phase_active_regions[region_start..] { + if *active >= threshold { + eprintln!( + "TLM_GCD_STAGE direction={direction} i={i} active_max={active} phase={phase}", + ); + } + } + } +} + +fn clear_and(circ: &mut B, t: &QubitId, a: &QubitId, b: &QubitId) { + let bit = circ.alloc_bit(); + circ.hmr(*t, bit); + circ.cz_if_bit(*a, *b, bit); +} + +fn park_odd_u0_enabled(i: usize, side: &str) -> bool { + let all = std::env::var("TLM_PARK_ODD_U0").ok().as_deref() == Some("1"); + let side_on = std::env::var(format!("TLM_PARK_ODD_U0_{side}")) + .ok() + .as_deref() + == Some("1"); + if !all && !side_on { + return false; + } + let limit = std::env::var("TLM_PARK_ODD_U0_LIMIT") + .ok() + .and_then(|v| v.parse::().ok()) + .unwrap_or(usize::MAX); + i < limit +} + +fn loan_odd_u0_enabled() -> bool { + std::env::var("TLM_LOAN_ODD_U0").ok().as_deref() == Some("1") +} + +fn park_even_v0_enabled() -> bool { + std::env::var("TLM_PARK_EVEN_V0").ok().as_deref() == Some("1") +} + +fn loan_even_v0_enabled() -> bool { + std::env::var("TLM_LOAN_EVEN_V0").ok().as_deref() == Some("1") +} + +fn loan_gcd_y0_enabled() -> bool { + std::env::var("TLM_LOAN_GCD_Y0").ok().as_deref() == Some("1") +} + +fn apply_fwd_cswap_skip(i: usize) -> bool { + let legacy_first_skip = + std::env::var("TLM_APPLY_FWD_FIRST_CSWAP_SKIP").ok().as_deref() == Some("1") + && i + 1 == ITERS; + let last_n = std::env::var("TLM_APPLY_FWD_CSWAP_SKIP_LAST") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0); + legacy_first_skip || (last_n != 0 && i + last_n >= ITERS) +} + +fn apply_inv_cswap_skip(i: usize) -> bool { + let last_n = std::env::var("TLM_APPLY_INV_CSWAP_SKIP_LAST") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0); + last_n != 0 && i + last_n >= ITERS +} + +fn apply_fwd_s2_zero(i: usize) -> bool { + let last_n = std::env::var("TLM_APPLY_FWD_S2_ZERO_LAST") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0); + last_n != 0 && i + last_n >= ITERS +} + +fn apply_inv_s2_zero(i: usize) -> bool { + let last_n = std::env::var("TLM_APPLY_INV_S2_ZERO_LAST") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0); + last_n != 0 && i + last_n >= ITERS +} + +fn apply_add_skip(i: usize, fwd: bool) -> bool { + if let Some(k) = std::env::var("TLM_APPLY_ADD_SKIP_LASTK") + .ok() + .and_then(|value| value.parse::().ok()) + { + if k != 0 && i + k >= ITERS { + return true; + } + } + let var = if fwd { + "TLM_APPLY_ADD_SKIP_FWD" + } else { + "TLM_APPLY_ADD_SKIP_INV" + }; + let k = std::env::var(var) + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0); + k != 0 && i + k >= ITERS +} + +fn park_known_one(circ: &mut B, q: QubitId) -> QubitId { + circ.x(q); + if loan_odd_u0_enabled() { + circ.loan_zero_qubit(q); + } else { + circ.zero_and_free(q); + } + q +} + +fn restore_known_one(circ: &mut B, parked: QubitId) -> QubitId { + let q = if loan_odd_u0_enabled() { + circ.reclaim_zero_qubit(parked); + parked + } else { + circ.alloc_qubit() + }; + circ.x(q); + q +} + +fn park_known_zero(circ: &mut B, q: QubitId) -> QubitId { + if loan_even_v0_enabled() { + circ.loan_zero_qubit(q); + } else { + circ.zero_and_free(q); + } + q +} + +fn restore_known_zero(circ: &mut B, parked: QubitId) -> QubitId { + if loan_even_v0_enabled() { + circ.reclaim_zero_qubit(parked); + parked + } else { + circ.alloc_qubit() + } +} + +fn loan_known_one_gcd_y0(circ: &mut B, q: QubitId) { + circ.x(q); + circ.loan_zero_qubit(q); +} + +fn reclaim_known_one_gcd_y0(circ: &mut B, q: QubitId) { + circ.reclaim_zero_qubit(q); + circ.x(q); +} + +fn loan_known_zero_gcd_y0(circ: &mut B, q: QubitId) { + circ.loan_zero_qubit(q); +} + +fn reclaim_known_zero_gcd_y0(circ: &mut B, q: QubitId) { + circ.reclaim_zero_qubit(q); +} + +const GCD_REVERSE_CSWAP_DEAD_RANGES: &[(usize, usize, usize)] = &[ + (255, 5, 13), + (256, 3, 11), + (253, 8, 15), + (254, 7, 13), + (252, 10, 15), + (250, 13, 16), + (251, 12, 15), + (249, 13, 16), + (236, 27, 29), + (248, 15, 17), + (234, 29, 31), + (235, 28, 30), + (237, 26, 28), + (244, 18, 20), + (246, 17, 19), + (247, 16, 18), + (101, 164, 165), + (143, 122, 123), + (145, 120, 121), + (219, 45, 46), + (220, 44, 45), + (221, 43, 44), + (224, 40, 41), + (226, 38, 39), + (228, 36, 37), + (229, 35, 36), + (231, 33, 34), + (232, 32, 33), + (233, 31, 32), + (245, 18, 19), + (257, 7, 10), + (95, 170, 171), + (116, 149, 150), + (134, 131, 132), + (218, 46, 47), + (222, 42, 43), + (223, 41, 42), + (225, 39, 40), + (227, 37, 38), + (230, 34, 35), + (240, 22, 23), + (11, 254, 254), + (12, 253, 253), + (19, 246, 246), + (21, 244, 244), + (30, 235, 235), + (31, 234, 234), + (33, 232, 232), + (35, 230, 230), + (36, 229, 229), + (37, 228, 228), + (39, 226, 226), + (40, 225, 225), + (42, 223, 223), + (43, 222, 222), + (46, 219, 219), + (47, 218, 218), + (48, 217, 217), + (49, 216, 216), + (50, 215, 215), + (51, 214, 214), + (53, 212, 212), + (54, 211, 211), + (56, 209, 209), + (63, 202, 202), + (68, 197, 197), + (70, 195, 195), + (75, 190, 190), + (76, 189, 189), + (79, 186, 186), + (80, 185, 185), + (81, 184, 184), + (87, 178, 178), + (94, 172, 172), + (103, 163, 163), + (105, 161, 161), + (107, 159, 159), + (108, 158, 158), + (110, 156, 156), + (112, 154, 154), + (113, 153, 153), + (114, 152, 152), + (115, 151, 151), + (123, 143, 143), + (124, 142, 142), + (126, 140, 140), + (127, 139, 139), + (128, 138, 138), + (129, 137, 137), + (130, 136, 136), + (131, 135, 135), + (132, 134, 134), + (133, 133, 133), + (141, 125, 125), + (142, 124, 124), + (146, 119, 119), + (147, 118, 118), + (148, 117, 117), + (149, 116, 116), + (153, 112, 112), + (157, 108, 108), + (159, 106, 106), + (161, 104, 104), + (162, 103, 103), + (163, 102, 102), + (164, 101, 101), + (167, 98, 98), + (168, 97, 97), + (169, 96, 96), + (170, 95, 95), + (171, 94, 94), + (180, 85, 85), + (182, 83, 83), + (183, 82, 82), + (187, 78, 78), + (188, 77, 77), + (189, 76, 76), + (190, 75, 75), + (192, 73, 73), + (193, 72, 72), + (194, 71, 71), + (195, 70, 70), + (197, 68, 68), + (198, 67, 67), + (199, 66, 66), + (203, 62, 62), + (204, 61, 61), + (205, 60, 60), + (206, 59, 59), + (207, 58, 58), + (208, 57, 57), + (210, 55, 55), + (211, 54, 54), + (212, 53, 53), + (213, 52, 52), + (214, 51, 51), + (215, 50, 50), + (216, 49, 49), + (217, 48, 48), + (238, 25, 25), + (239, 24, 24), + (241, 22, 22), + (242, 21, 21), +]; + +const GCD_FORWARD_CSWAP_REMAINDER_KEYS: &[u32] = &[ + 3325, 4345, 8935, 9955, 17860, 24236, 26021, 26531, 26786, 27551, 28316, 28571, + 29846, 31631, 31886, 32906, 33161, 33416, 33671, 33926, 34181, 34436, 35710, + 36221, 36476, 36985, 37241, 38260, 40810, 41575, 41830, 43360, 44380, 45145, + 46165, 46675, 47185, 47950, 48205, 48715, 49225, 50755, 51010, 51520, 51775, + 52030, 52285, 52540, 53305, 53560, 54070, 54580, 54835, 55090, 55600, 56110, + 56620, 56875, 57130, 57385, 57895, 58149, 58405, 58660, 58915, 59170, 59425, + 59680, 59935, 60190, 60444, 60445, 60700, 62484, 62995, 63250, 63505, 63759, + 63760, 64014, 64015, 64016, 64270, 64271, 64524, 64525, 64526, 64527, 64779, + 64780, 64781, 64782, 64783, 65035, 65036, 65037, 65290, 65291, 65292, 65293, + 65545, 65546, 65547, 65800, 65801, 65802, +]; + +const GCD_REVERSE_CSWAP_REMAINDER_KEYS: &[u32] = &[ + 3580, 3835, 4090, 4345, 4600, 4855, 5365, 5875, 6130, 6640, 6895, 7150, + 7405, 7660, 8425, 8935, 9955, 10720, 11740, 13525, 14290, 15055, 15310, + 15565, 15820, 16075, 16585, 16840, 17095, 17350, 18370, 18625, 18880, + 19135, 19900, 20155, 21175, 21685, 22195, 22705, 22960, 23215, 23470, + 23725, 24745, 25255, 25510, 26786, 31376, 34690, 34945, 35200, 35455, + 38515, 38770, 39025, 39790, 40045, 40555, 41065, 42340, 42595, 44125, + 44635, 44890, 45145, 45400, 45655, 45910, 46420, 47185, 47440, 48970, + 50245, 51265, 53560, +]; + +fn gcd_reverse_cswap_has_structurally_dead_gate(step: usize, bit: usize) -> bool { + if super::drops_off_family("GCDRSW") { + return false; + } + + if std::env::var_os("TLM_GCD_SKIP_STRUCTURAL_DEAD_CSWAPS").is_none() { + return false; + } + if std::env::var_os("TLM_GCD_SKIP_REVERSE_DIAGONAL_EDGE").is_some() + && step + bit + >= std::env::var("TLM_GCD_REVERSE_DIAGONAL_MIN") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(265) + && step + >= std::env::var("TLM_GCD_REVERSE_DIAGONAL_STEP_MIN") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0) + && step + <= std::env::var("TLM_GCD_REVERSE_DIAGONAL_STEP_MAX") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(usize::MAX) + { + return true; + } + if std::env::var_os("TLM_GCD_SKIP_EXACT_REVERSE_CSWAPS").is_some() { + let key = (((step as u32) & 0xffff) << 8) | (bit as u32 & 0xff); + if GCD_REVERSE_CSWAP_REMAINDER_KEYS.binary_search(&key).is_ok() { + return true; + } + } + GCD_REVERSE_CSWAP_DEAD_RANGES + .iter() + .any(|&(range_step, lo, hi)| range_step == step && (lo..=hi).contains(&bit)) +} + +fn gcd_forward_cswap_has_structurally_dead_gate(step: usize, bit: usize) -> bool { + if super::drops_off_family("GCDFSW") { + return false; + } + + // W1155: forward structurally-dead-cswap predicate := reverse predicate (bit-exact, + // the forward pass shares the reverse pass's provably-dead structure). + if std::env::var_os("W1155_FWD_EQ_REV").is_some() { + return gcd_reverse_cswap_has_structurally_dead_gate(step, bit); + } + if std::env::var_os("TLM_GCD_SKIP_STRUCTURAL_DEAD_CSWAPS").is_none() + || std::env::var_os("TLM_GCD_SKIP_EXACT_FORWARD_CSWAPS").is_none() + { + return false; + } + let key = (((step as u32) & 0xffff) << 8) | (bit as u32 & 0xff); + GCD_FORWARD_CSWAP_REMAINDER_KEYS.binary_search(&key).is_ok() +} + +const GCD_SHIFT_DEAD_RANGES: &[(u8, usize, usize, usize)] = &[ + (12, 0, 1, 9), + (12, 259, 1, 9), + (12, 1, 3, 10), + (12, 2, 5, 12), + (12, 260, 3, 10), + (12, 261, 5, 12), + (12, 262, 7, 12), + (12, 263, 9, 14), + (12, 264, 9, 14), + (12, 3, 7, 12), + (12, 4, 9, 14), + (12, 5, 10, 14), + (11, 254, 11, 14), + (11, 515, 8, 8), + (11, 515, 10, 12), + (11, 516, 7, 10), + (12, 265, 11, 14), + (12, 266, 12, 15), + (12, 6, 11, 14), + (12, 7, 12, 15), + (11, 252, 12, 14), + (11, 253, 12, 14), + (11, 255, 10, 12), + (11, 256, 10, 12), + (11, 257, 8, 10), + (11, 258, 7, 9), + (11, 510, 13, 15), + (11, 512, 12, 14), + (11, 513, 12, 14), + (11, 514, 10, 12), + (12, 20, 25, 27), + (12, 267, 13, 15), + (12, 269, 15, 17), + (12, 270, 16, 18), + (12, 279, 25, 27), + (12, 280, 26, 28), + (12, 287, 33, 35), + (12, 8, 13, 15), + (12, 9, 14, 16), + (11, 250, 14, 15), + (11, 251, 14, 15), + (11, 391, 133, 134), + (11, 405, 119, 120), + (11, 511, 12, 12), + (11, 511, 14, 14), + (11, 517, 8, 9), + (12, 10, 16, 17), + (12, 11, 17, 18), + (12, 12, 17, 18), + (12, 13, 18, 19), + (12, 21, 27, 28), + (12, 22, 28, 29), + (12, 23, 29, 30), + (12, 24, 30, 31), + (12, 25, 31, 32), + (12, 26, 32, 33), + (12, 268, 15, 16), + (12, 27, 33, 34), + (12, 271, 17, 18), + (12, 28, 34, 35), + (12, 281, 28, 29), + (12, 283, 30, 31), + (12, 286, 33, 34), + (12, 288, 35, 36), + (12, 289, 36, 37), + (12, 290, 37, 38), + (12, 293, 40, 41), + (12, 294, 41, 42), + (12, 295, 42, 43), + (12, 31, 37, 38), + (12, 32, 38, 39), + (12, 33, 39, 40), + (12, 34, 40, 41), + (12, 35, 41, 42), + (12, 36, 42, 43), + // E251: 376 additional structurally-dead gcd-shift ranges (audit-recovered). + (12, 39, 46, 46), + (12, 40, 47, 47), + (12, 41, 48, 48), + (12, 42, 49, 49), + (12, 43, 50, 50), + (12, 44, 51, 51), + (12, 45, 52, 52), + (12, 46, 53, 53), + (12, 48, 55, 55), + (12, 50, 57, 57), + (12, 52, 59, 59), + (12, 53, 60, 60), + (12, 54, 61, 61), + (12, 55, 62, 62), + (12, 56, 63, 63), + (12, 57, 64, 64), + (12, 58, 65, 65), + (12, 59, 66, 66), + (12, 61, 68, 68), + (12, 62, 69, 69), + (12, 63, 70, 70), + (12, 64, 71, 71), + (12, 65, 72, 72), + (12, 66, 73, 73), + (12, 67, 74, 74), + (12, 68, 75, 75), + (12, 70, 77, 77), + (12, 71, 78, 78), + (12, 72, 79, 79), + (12, 73, 80, 80), + (12, 74, 81, 81), + (12, 75, 82, 82), + (12, 76, 83, 83), + (12, 77, 84, 84), + (12, 78, 85, 85), + (12, 79, 86, 86), + (12, 80, 87, 87), + (12, 81, 88, 88), + (12, 82, 89, 89), + (12, 83, 90, 90), + (12, 84, 91, 91), + (12, 85, 92, 92), + (12, 86, 93, 93), + (12, 87, 94, 94), + (12, 88, 95, 95), + (12, 89, 96, 96), + (12, 90, 97, 97), + (12, 91, 98, 98), + (12, 92, 99, 99), + (12, 93, 100, 100), + (12, 94, 101, 101), + (12, 95, 102, 102), + (12, 96, 103, 103), + (12, 97, 104, 104), + (12, 98, 105, 105), + (12, 99, 106, 106), + (12, 101, 108, 108), + (12, 102, 109, 109), + (12, 103, 110, 110), + (12, 104, 111, 111), + (12, 105, 112, 112), + (12, 106, 113, 113), + (12, 107, 114, 114), + (12, 108, 115, 115), + (12, 109, 116, 116), + (12, 110, 117, 117), + (12, 111, 118, 118), + (12, 113, 120, 120), + (12, 115, 122, 122), + (12, 117, 124, 124), + (12, 118, 125, 125), + (12, 119, 126, 126), + (12, 121, 128, 128), + (12, 124, 131, 131), + (12, 125, 132, 132), + (12, 126, 133, 133), + (12, 127, 134, 134), + (12, 129, 136, 136), + (12, 130, 137, 137), + (12, 131, 138, 138), + (12, 132, 139, 139), + (12, 134, 141, 141), + (12, 135, 142, 142), + (12, 136, 143, 143), + (12, 137, 144, 144), + (12, 138, 145, 145), + (12, 139, 146, 146), + (12, 140, 147, 147), + (12, 142, 149, 149), + (12, 143, 150, 150), + (12, 144, 151, 151), + (12, 146, 153, 153), + (12, 147, 154, 154), + (12, 148, 155, 155), + (12, 149, 156, 156), + (12, 150, 157, 157), + (12, 151, 158, 158), + (12, 152, 159, 159), + (12, 153, 160, 160), + (12, 154, 161, 161), + (12, 155, 162, 162), + (12, 156, 163, 163), + (12, 157, 164, 164), + (12, 158, 165, 165), + (12, 159, 166, 166), + (12, 160, 167, 167), + (12, 161, 168, 168), + (12, 163, 170, 170), + (12, 164, 171, 171), + (12, 165, 172, 172), + (12, 166, 173, 173), + (12, 167, 174, 174), + (12, 168, 175, 175), + (12, 169, 176, 176), + (12, 170, 177, 177), + (12, 171, 178, 178), + (12, 172, 179, 179), + (12, 173, 180, 180), + (12, 174, 181, 181), + (12, 175, 182, 182), + (12, 176, 183, 183), + (12, 177, 184, 184), + (12, 178, 185, 185), + (12, 179, 186, 186), + (12, 180, 187, 187), + (12, 181, 188, 188), + (12, 182, 189, 189), + (12, 184, 191, 191), + (12, 185, 192, 192), + (12, 186, 193, 193), + (12, 187, 194, 194), + (12, 188, 195, 195), + (12, 189, 196, 196), + (12, 190, 197, 197), + (12, 191, 198, 198), + (12, 192, 199, 199), + (12, 193, 200, 200), + (12, 194, 201, 201), + (12, 195, 202, 202), + (12, 196, 203, 203), + (12, 197, 204, 204), + (12, 198, 205, 205), + (12, 199, 206, 206), + (12, 200, 207, 207), + (12, 201, 208, 208), + (12, 202, 209, 209), + (12, 203, 210, 210), + (12, 204, 211, 211), + (12, 205, 212, 212), + (12, 206, 213, 213), + (12, 207, 214, 214), + (12, 209, 216, 216), + (12, 210, 217, 217), + (12, 211, 218, 218), + (12, 212, 219, 219), + (12, 213, 220, 220), + (12, 214, 221, 221), + (12, 215, 222, 222), + (12, 216, 223, 223), + (12, 217, 224, 224), + (12, 218, 225, 225), + (12, 219, 226, 226), + (12, 220, 227, 227), + (12, 221, 228, 228), + (12, 222, 229, 229), + (12, 223, 230, 230), + (12, 224, 231, 231), + (12, 225, 232, 232), + (12, 226, 233, 233), + (12, 227, 234, 234), + (12, 228, 235, 235), + (12, 229, 236, 236), + (12, 230, 237, 237), + (12, 231, 238, 238), + (12, 232, 239, 239), + (12, 233, 240, 240), + (12, 234, 241, 241), + (12, 235, 242, 242), + (12, 236, 243, 243), + (12, 237, 244, 244), + (12, 238, 245, 245), + (12, 239, 246, 246), + (12, 240, 247, 247), + (12, 241, 248, 248), + (12, 242, 249, 249), + (12, 243, 250, 250), + (12, 245, 252, 252), + (12, 246, 253, 253), + (12, 247, 254, 254), + (12, 248, 255, 255), + (12, 249, 256, 256), + (12, 250, 257, 257), + (12, 298, 46, 46), + (12, 299, 47, 47), + (12, 300, 48, 48), + (12, 301, 49, 49), + (12, 302, 50, 50), + (12, 303, 51, 51), + (12, 304, 52, 52), + (12, 305, 53, 53), + (12, 306, 54, 54), + (12, 307, 55, 55), + (12, 308, 56, 56), + (12, 309, 57, 57), + (12, 310, 58, 58), + (12, 311, 59, 59), + (12, 312, 60, 60), + (12, 313, 61, 61), + (12, 315, 63, 63), + (12, 316, 64, 64), + (12, 317, 65, 65), + (12, 318, 66, 66), + (12, 319, 67, 67), + (12, 320, 68, 68), + (12, 321, 69, 69), + (12, 322, 70, 70), + (12, 323, 71, 71), + (12, 324, 72, 72), + (12, 325, 73, 73), + (12, 326, 74, 74), + (12, 327, 75, 75), + (12, 328, 76, 76), + (12, 329, 77, 77), + (12, 330, 78, 78), + (12, 331, 79, 79), + (12, 332, 80, 80), + (12, 333, 81, 81), + (12, 334, 82, 82), + (12, 335, 83, 83), + (12, 336, 84, 84), + (12, 337, 85, 85), + (12, 338, 86, 86), + (12, 339, 87, 87), + (12, 340, 88, 88), + (12, 342, 90, 90), + (12, 343, 91, 91), + (12, 344, 92, 92), + (12, 345, 93, 93), + (12, 346, 94, 94), + (12, 347, 95, 95), + (12, 348, 96, 96), + (12, 350, 98, 98), + (12, 351, 99, 99), + (12, 352, 100, 100), + (12, 353, 101, 101), + (12, 354, 102, 102), + (12, 355, 103, 103), + (12, 356, 104, 104), + (12, 357, 105, 105), + (12, 358, 106, 106), + (12, 359, 107, 107), + (12, 360, 108, 108), + (12, 361, 109, 109), + (12, 362, 110, 110), + (12, 363, 111, 111), + (12, 364, 112, 112), + (12, 365, 113, 113), + (12, 366, 114, 114), + (12, 367, 115, 115), + (12, 368, 116, 116), + (12, 369, 117, 117), + (12, 370, 118, 118), + (12, 372, 120, 120), + (12, 376, 124, 124), + (12, 377, 125, 125), + (12, 378, 126, 126), + (12, 379, 127, 127), + (12, 380, 128, 128), + (12, 381, 129, 129), + (12, 382, 130, 130), + (12, 383, 131, 131), + (12, 384, 132, 132), + (12, 385, 133, 133), + (12, 386, 134, 134), + (12, 387, 135, 135), + (12, 388, 136, 136), + (12, 389, 137, 137), + (12, 391, 139, 139), + (12, 393, 141, 141), + (12, 394, 142, 142), + (12, 395, 143, 143), + (12, 396, 144, 144), + (12, 397, 145, 145), + (12, 398, 146, 146), + (12, 399, 147, 147), + (12, 401, 149, 149), + (12, 402, 150, 150), + (12, 404, 152, 152), + (12, 405, 153, 153), + (12, 406, 154, 154), + (12, 407, 155, 155), + (12, 409, 157, 157), + (12, 410, 158, 158), + (12, 412, 160, 160), + (12, 414, 162, 162), + (12, 415, 163, 163), + (12, 416, 164, 164), + (12, 417, 165, 165), + (12, 418, 166, 166), + (12, 419, 167, 167), + (12, 420, 168, 168), + (12, 422, 170, 170), + (12, 423, 171, 171), + (12, 424, 172, 172), + (12, 425, 173, 173), + (12, 426, 174, 174), + (12, 427, 175, 175), + (12, 428, 176, 176), + (12, 429, 177, 177), + (12, 430, 178, 178), + (12, 431, 179, 179), + (12, 433, 181, 181), + (12, 434, 182, 182), + (12, 435, 183, 183), + (12, 436, 184, 184), + (12, 437, 185, 185), + (12, 438, 186, 186), + (12, 439, 187, 187), + (12, 440, 188, 188), + (12, 441, 189, 189), + (12, 442, 190, 190), + (12, 443, 191, 191), + (12, 444, 192, 192), + (12, 445, 193, 193), + (12, 446, 194, 194), + (12, 447, 195, 195), + (12, 448, 196, 196), + (12, 449, 197, 197), + (12, 450, 198, 198), + (12, 451, 199, 199), + (12, 452, 200, 200), + (12, 453, 201, 201), + (12, 454, 202, 202), + (12, 455, 203, 203), + (12, 456, 204, 204), + (12, 457, 205, 205), + (12, 458, 206, 206), + (12, 459, 207, 207), + (12, 460, 208, 208), + (12, 461, 209, 209), + (12, 462, 210, 210), + (12, 463, 211, 211), + (12, 464, 212, 212), + (12, 465, 213, 213), + (12, 467, 215, 215), + (12, 468, 216, 216), + (12, 469, 217, 217), + (12, 470, 218, 218), + (12, 471, 219, 219), + (12, 472, 220, 220), + (12, 473, 221, 221), + (12, 474, 222, 222), + (12, 475, 223, 223), + (12, 476, 224, 224), + (12, 477, 225, 225), + (12, 478, 226, 226), + (12, 479, 227, 227), + (12, 480, 228, 228), + (12, 481, 229, 229), + (12, 482, 230, 230), + (12, 483, 231, 231), + (12, 484, 232, 232), + (12, 485, 233, 233), + (12, 486, 234, 234), + (12, 487, 235, 235), + (12, 488, 236, 236), + (12, 489, 237, 237), + (12, 490, 238, 238), + (12, 491, 239, 239), + (12, 492, 240, 240), + (12, 493, 241, 241), + (12, 494, 242, 242), + (12, 496, 244, 244), + (12, 497, 245, 245), + (12, 498, 246, 246), + (12, 499, 247, 247), +]; + +const GCD_RIGHT_SHIFT_REMAINDER_KEYS: &[u32] = &[ + 510, 766, 1022, 1278, 1534, 1790, 2046, 2302, 2558, 2814, 3070, 3325, + 3580, 3835, 4090, 4345, 4600, 4855, 5110, 5365, 5620, 5875, 6130, 6385, + 6640, 6895, 7150, 7405, 7660, 7915, 8170, 8425, 8680, 8935, 9190, 9445, + 9700, 9955, 10210, 10465, 10720, 10975, 11230, 11485, 11740, 11995, 12250, 12505, + 12760, 13015, 13270, 13525, 13780, 14035, 14290, 14545, 14800, 15055, 15310, 15565, + 15820, 16075, 16330, 16585, 16840, 17095, 17350, 17605, 17860, 18115, 18370, 18625, + 18880, 19135, 19390, 19645, 19900, 20155, 20410, 20665, 20920, 21175, 21430, 21685, + 21940, 22195, 22450, 22705, 22960, 23215, 23470, 23725, 23980, 24235, 24491, 24746, + 25000, 25255, 25510, 25765, 26020, 26276, 26530, 26786, 27041, 27296, 27550, 27806, + 28061, 28315, 28571, 28826, 29081, 29336, 29591, 29846, 30101, 30355, 30610, 30865, + 31120, 31375, 31631, 31886, 32141, 32395, 32651, 32906, 33161, 33416, 33671, 33926, + 34181, 34436, 34691, 34945, 35200, 35455, 35710, 35965, 36220, 36476, 36731, 36986, + 37240, 37496, 37750, 38005, 38260, 38515, 38770, 39025, 39280, 39535, 39790, 40045, + 40300, 40555, 40810, 41065, 41320, 41575, 41830, 42085, 42340, 42595, 42850, 43105, + 43360, 43615, 43870, 44125, 44380, 44635, 44890, 45145, 45400, 45655, 45910, 46165, + 46420, 46675, 46930, 47185, 47440, 47695, 47950, 48205, 48460, 48715, 48970, 49225, + 49480, 49735, 49990, 50245, 50500, 50755, 51010, 51265, 51520, 51775, 52030, 52285, + 52540, 52795, 53050, 53305, 53560, 53815, 54070, 54325, 54580, 54835, 55090, 55345, + 55600, 55855, 56110, 56365, 56620, 56875, 57130, 57385, 57640, 57895, 58150, 58405, + 58660, 58915, 59170, 59425, 59680, 59935, 60190, 60445, 60700, 60955, 61208, 61463, + 61718, 61973, 62228, 62483, 62739, 62994, 63250, 63505, 63760, 66814, 67070, 67326, + 67582, 67838, 68094, 68350, 68606, 68862, 69118, 69374, 69629, 69884, 70139, 70394, + 70649, 70904, 71159, 71414, 71669, 71924, 72179, 72434, 72689, 72944, 73199, 73454, + 73709, 73964, 74219, 74474, 74729, 74984, 75239, 75494, 75749, 76004, 76259, 76514, + 76769, 77024, 77279, 77534, 77789, 78044, 78299, 78554, 78809, 79064, 79319, 79574, + 79829, 80084, 80339, 80594, 80849, 81104, 81359, 81614, 81869, 82124, 82379, 82634, + 82889, 83144, 83399, 83654, 83909, 84164, 84419, 84674, 84929, 85184, 85439, 85694, + 85949, 86204, 86459, 86714, 86969, 87224, 87479, 87734, 87989, 88244, 88499, 88754, + 89009, 89264, 89519, 89774, 90029, 90284, 90539, 90795, 91050, 91304, 91559, 91814, + 92069, 92324, 92580, 92834, 93090, 93345, 93600, 93854, 94110, 94365, 94619, 94875, + 95130, 95385, 95640, 95895, 96150, 96405, 96659, 96914, 97169, 97424, 97679, 97935, + 98190, 98445, 98699, 98955, 99210, 99465, 99720, 99975, 100485, 100740, 100995, 101249, + 101504, 101759, 102014, 102269, 102524, 102780, 103035, 103290, 103544, 104054, 104309, 104564, + 104819, 105074, 105329, 105584, 105839, 106094, 106349, 106604, 106859, 107114, 107369, 107624, + 107879, 108134, 108389, 108644, 108899, 109154, 109409, 109664, 109919, 110174, 110429, 110684, + 110939, 111194, 111449, 111704, 111959, 112214, 112469, 112724, 112979, 113234, 113489, 113744, + 113999, 114254, 114509, 114764, 115019, 115274, 115529, 115784, 116039, 116294, 116549, 116804, + 117059, 117314, 117569, 117824, 118079, 118334, 118589, 118844, 119099, 119354, 119609, 119864, + 120119, 120374, 120629, 120884, 121139, 121394, 121649, 121904, 122159, 122414, 122669, 122924, + 123179, 123434, 123689, 123944, 124199, 124454, 124709, 124964, 125219, 125474, 125729, 125984, + 126239, 126494, 126749, 127004, 127259, 127512, 127767, 128022, 128277, 128532, 128787, 129043, + 129298, 129554, 129809, 130064, 130319, +]; + +const GCD_LEFT_SHIFT_REMAINDER_KEYS: &[u32] = &[ + 3603, 3860, 4117, 4374, 4631, 4888, 7460, 7717, 9516, 9773, 12086, 12600, + 13114, 15427, 17740, 25707, 28792, 29306, 29820, 30847, 31361, 31619, 32903, 34189, + 36245, 37273, 41642, 47038, 53463, 62715, 69651, 69907, 70164, 70421, 70678, 70935, + 71192, 72222, 72736, 72993, 74535, 74792, 75820, 76077, 80446, 87385, 89441, 95096, + 95610, 95867, 96124, 99979, 100493, 102549, 103320, 104605, 105376, 105890, 107946, 110772, + 119510, 126963, 128248, +]; + +fn gcd_shift_has_structurally_dead_gate(tag: u8, call_index: usize, bit: usize) -> bool { + if super::drops_off_family("GCDSHIFT") { + return false; + } + + if std::env::var_os("TLM_GCD_SKIP_EXACT_SHIFT_REMAINDER").is_some() { + let key = (((call_index as u32) & 0xffff) << 8) | (bit as u32 & 0xff); + if (tag == 11 && GCD_RIGHT_SHIFT_REMAINDER_KEYS.binary_search(&key).is_ok()) + || (tag == 12 && GCD_LEFT_SHIFT_REMAINDER_KEYS.binary_search(&key).is_ok()) + { + return true; + } + } + std::env::var_os("TLM_GCD_SKIP_STRUCTURAL_DEAD_SHIFTS").is_some() + && GCD_SHIFT_DEAD_RANGES.iter().any(|&(range_tag, call, lo, hi)| { + range_tag == tag && call == call_index && (lo..=hi).contains(&bit) + }) +} + +fn skip_top_zero_controlled_shift_edge() -> bool { + std::env::var_os("TLM_GCD_SKIP_TOP_ZERO_SHIFT_EDGE").is_some() +} + +fn controlled_right_shift(circ: &mut B, ctrl: &QubitId, v: &[QubitId]) { + let call_index = next_right_shift_call_index(); + for i in 0..v.len().saturating_sub(1) { + let old_context = crate::point_add::set_op_trace_context( + 0x0b00_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + let top_zero_edge = skip_top_zero_controlled_shift_edge() && i + 2 == v.len(); + if !top_zero_edge && !gcd_shift_has_structurally_dead_gate(11, call_index, i) { + circ.cswap(*ctrl, v[i], v[i + 1]); + } + crate::point_add::restore_op_trace_context(old_context); + } +} + +fn controlled_left_shift(circ: &mut B, ctrl: &QubitId, v: &[QubitId]) { + let call_index = next_left_shift_call_index(); + for i in (1..v.len()).rev() { + let old_context = crate::point_add::set_op_trace_context( + 0x0c00_0000 | (((call_index as u32) & 0xffff) << 8) | ((i - 1) as u32 & 0xff), + ); + let top_zero_edge = skip_top_zero_controlled_shift_edge() && i + 1 == v.len(); + if !top_zero_edge && !gcd_shift_has_structurally_dead_gate(12, call_index, i - 1) { + circ.cswap(*ctrl, v[i], v[i - 1]); + } + crate::point_add::restore_op_trace_context(old_context); + } +} + +fn right_shift(circ: &mut B, v: &[QubitId]) { + for i in 0..v.len().saturating_sub(1) { + circ.swap(v[i], v[i + 1]); + } +} + +fn left_shift(circ: &mut B, v: &[QubitId]) { + for i in (1..v.len()).rev() { + circ.swap(v[i], v[i - 1]); + } +} + +fn controlled_mod_double(circ: &mut B, ctrl: &QubitId, a: &[QubitId]) { + let n = a.len(); + assert_eq!(n, 256, "controlled_mod_double expects 256-bit a"); + let f_bytes = F_SECP256K1.to_le_bytes(); + let ovf = circ.alloc_qubit(); + + let w: Vec<&QubitId> = a.iter().chain(std::iter::once(&ovf)).collect(); + for i in (0..n).rev() { + circ.cswap(*ctrl, *w[i], *w[i + 1]); + } + + arith::add_f_window_pub(circ, &ovf, a, arith::LSBS, &f_bytes, None); + + clear_and(circ, &ovf, ctrl, &a[0]); + circ.zero_and_free(ovf); +} + +fn controlled_mod_double_reverse(circ: &mut B, ctrl: &QubitId, a: &[QubitId]) { + let n = a.len(); + assert_eq!(n, 256, "controlled_mod_double_reverse expects 256-bit a"); + let f_bytes = F_SECP256K1.to_le_bytes(); + let ovf = circ.alloc_qubit(); + + circ.ccx(*ctrl, a[0], ovf); + + for q in &a[..arith::LSBS] { + circ.x(*q); + } + arith::add_f_window_pub(circ, &ovf, a, arith::LSBS, &f_bytes, None); + for q in &a[..arith::LSBS] { + circ.x(*q); + } + + let w: Vec<&QubitId> = a.iter().chain(std::iter::once(&ovf)).collect(); + for i in 0..n { + circ.cswap(*ctrl, *w[i], *w[i + 1]); + } + circ.zero_and_free(ovf); +} + +#[must_use] +pub fn forward_gcd_jump(circ: &mut B, v: &mut Vec, apply_inv: Option<(&[QubitId], &[QubitId])>) -> Vec { + let n = 256usize; + assert_eq!(JUMP, 2, "ludicrous apply/codec are jump=2 specific"); + assert!(v.len() >= n, "v must be at least n=256 bits"); + let iters = ITERS; + let sym_bits = 3; + + let mut u: Vec = (0..n).map(|_| circ.alloc_qubit()).collect(); + let q_bytes = q_secp256k1_le(); + for (i, qb) in u.iter().enumerate() { + if (q_bytes.get(i / 8).copied().unwrap_or(0) >> (i % 8)) & 1 == 1 { + circ.x(*qb); + } + } + + let subtracted = circ.alloc_qubit(); + let mut swap_flag: Option = None; + let s2 = circ.alloc_qubit(); + let t1 = circ.alloc_qubit(); + + let n3 = n3_for_iters(iters); + let mut window_plan: Vec = Vec::new(); + for (codec, count) in super::codec::jump_dialog_regions(n3, iters) { + for _ in 0..count { + window_plan.push(codec); + } + } + let mut tape: Vec = Vec::with_capacity(super::codec::dialog_tape_qubits(n3, iters)); + let mut win_idx = 0usize; + let mut pending: Vec = Vec::new(); + let mut tail4_prefix_encoded = false; + for i in 0..iters { + let trace_region_start = circ.phase_active_regions.len(); + circ.set_phase(if apply_inv.is_some() { + "tlm_inverse_gcd_forward_shift" + } else { + "tlm_multiply_gcd_forward_shift" + }); + let current_n = (SCHED_J2[i] as usize).max(1); + while u.len() > current_n { + let q = u.pop().expect("u nonempty"); + circ.zero_and_free(q); + } + while v.len() > current_n { + let q = v.pop().expect("v nonempty"); + circ.zero_and_free(q); + } + + let cmp_eff = cmp_window(i, current_n); + + if i == 0 { + circ.cx(v[0], t1); + circ.x(t1); + controlled_right_shift(circ, &t1, &v[..current_n]); + } else { + right_shift(circ, &v[..current_n]); + } + + circ.cx(v[0], s2); + circ.x(s2); + controlled_right_shift(circ, &s2, &v[..current_n]); + + circ.cx(v[0], subtracted); + + circ.set_phase(if apply_inv.is_some() { + "tlm_inverse_gcd_forward_compare" + } else { + "tlm_multiply_gcd_forward_compare" + }); + let swp = if i == 0 { + subtracted + } else { + let sf = *swap_flag.get_or_insert_with(|| circ.alloc_qubit()); + controlled_swap_decision_v_lt_u( + circ, + &subtracted, + &v[..current_n], + &u[..current_n], + cmp_eff, + &sf, + ); + sf + }; + + for j in 1..current_n { + if !gcd_forward_cswap_has_structurally_dead_gate(i, j) { + let old_context = crate::point_add::set_op_trace_context( + 0x1b00_0000 | (((i as u32) & 0xffff) << 8) | (j as u32 & 0xff), + ); + circ.cswap(swp, u[j], v[j]); + crate::point_add::restore_op_trace_context(old_context); + } + } + let parked_u0 = if park_odd_u0_enabled(i, "FWD") { + let q = u[0]; + Some(park_known_one(circ, q)) + } else { + None + }; + + circ.set_phase(if apply_inv.is_some() { + "tlm_inverse_gcd_forward_body" + } else { + "tlm_multiply_gcd_forward_body" + }); + for q in &v[..current_n] { + circ.x(*q); + } + controlled_add_active( + circ, + i, + &subtracted, + &u[..current_n], + &v[..current_n], + GcdBit0Mode::ForwardKnownOneAfterCx, + apply_inv.map_or(&[], |(xr, _)| &xr[..3]), + ); + for q in &v[..current_n] { + circ.x(*q); + } + + circ.set_phase(if apply_inv.is_some() { + "tlm_inverse_gcd_forward_apply" + } else { + "tlm_multiply_gcd_forward_apply" + }); + if i >= 250 && std::env::var_os("TRACE_TLM_TAIL").is_some() { + eprintln!( + "TLM_TAIL direction=forward i={i} active={} tape={} pending={} encoded={tail4_prefix_encoded}", + circ.active_qubits, + tape.len(), + pending.len(), + ); + } + let parked_v0 = if apply_inv.is_some() && park_even_v0_enabled() { + let q = v[0]; + Some(park_known_zero(circ, q)) + } else { + None + }; + if let Some((xr, yr)) = apply_inv { + apply_step_reverse( + circ, + i, + &subtracted, + &swp, + &s2, + &t1, + xr, + yr, + &u[1..4], + ); + } + if let Some(q) = parked_v0 { + v[0] = restore_known_zero(circ, q); + } + if let Some(q) = parked_u0 { + u[0] = restore_known_one(circ, q); + } + + circ.set_phase(if apply_inv.is_some() { + "tlm_inverse_gcd_forward_codec" + } else { + "tlm_multiply_gcd_forward_codec" + }); + let slots: Vec = (0..sym_bits).map(|_| circ.alloc_qubit()).collect(); + circ.swap(subtracted, slots[0]); + if i == 0 { + circ.cx(slots[0], slots[1]); + } else { + circ.swap(swp, slots[1]); + } + circ.swap(s2, slots[2]); + if i == 0 { + debug_assert_eq!(window_plan[win_idx], super::codec::DialogCodec::Step0); + let data = super::codec::compress_step0_with_t1(circ, t1, &slots); + tape.extend(data); + win_idx += 1; + circ.set_phase("tlm_gcd_step_end"); + trace_step_regions( + circ, + if apply_inv.is_some() { + "inverse-forward" + } else { + "multiply-forward" + }, + i, + trace_region_start, + ); + continue; + } + pending.extend(slots); + + let codec = window_plan[win_idx]; + if codec == super::codec::DialogCodec::Tail4Top32 { + if !tail4_prefix_encoded && pending.len() == 3 * sym_bits { + pending = super::codec::DialogCodec::Triple.compress_window(circ, &pending); + tail4_prefix_encoded = true; + } else if tail4_prefix_encoded + && pending.len() == super::codec::DialogCodec::Triple.code_bits() + 2 * sym_bits + { + let last = pending.split_off(super::codec::DialogCodec::Triple.code_bits()); + let mut raw = super::codec::DialogCodec::Triple.decompress_window(circ, &pending); + raw.extend(last); + let data = codec.compress_window(circ, &raw); + tape.extend(data); + pending.clear(); + tail4_prefix_encoded = false; + win_idx += 1; + } + } else if pending.len() == codec.syms() * sym_bits { + let data = codec.compress_window(circ, &pending); + tape.extend(data); + pending.clear(); + win_idx += 1; + } + circ.set_phase("tlm_gcd_step_end"); + trace_step_regions( + circ, + if apply_inv.is_some() { + "inverse-forward" + } else { + "multiply-forward" + }, + i, + trace_region_start, + ); + } + assert_eq!(win_idx, window_plan.len(), "all windows compressed"); + assert!(pending.is_empty(), "no leftover symbols"); + + circ.x(u[0]); + while let Some(q) = v.pop() { + circ.zero_and_free(q); + } + for q in u { + circ.zero_and_free(q); + } + circ.zero_and_free(subtracted); + if let Some(swap_flag) = swap_flag { + circ.zero_and_free(swap_flag); + } + circ.zero_and_free(s2); + assert_eq!(tape.len(), super::codec::dialog_tape_qubits(n3, iters)); + tape +} + +pub fn reverse_gcd_jump(circ: &mut B, v: &mut Vec, tape: &mut Vec, apply_fwd: Option<(&[QubitId], &[QubitId])>) { + let n = 256usize; + let iters = ITERS; + let n3 = n3_for_iters(iters); + assert_eq!( + tape.len(), + super::codec::dialog_tape_qubits(n3, iters), + "tape must be the compressed dialog" + ); + + let mut window_plan: Vec = Vec::new(); + for (codec, count) in super::codec::jump_dialog_regions(n3, iters) { + for _ in 0..count { + window_plan.push(codec); + } + } + let mut win_idx = window_plan.len(); + + let mut pending: Vec = Vec::new(); + let mut pending_tail4 = false; + let mut tail4_prefix_encoded = false; + + let mut u: Vec = vec![circ.alloc_qubit()]; + circ.x(u[0]); + + let subtracted = circ.alloc_qubit(); + let mut swap_flag: Option = Some(circ.alloc_qubit()); + let s2 = circ.alloc_qubit(); + let mut step0_t1: Option = None; + + for i in (0..iters).rev() { + let trace_region_start = circ.phase_active_regions.len(); + circ.set_phase(if apply_fwd.is_some() { + "tlm_multiply_gcd_reverse_decode" + } else { + "tlm_inverse_gcd_reverse_decode" + }); + let current_n = (SCHED_J2[i] as usize).max(1); + while u.len() < current_n { + u.push(circ.alloc_qubit()); + } + while v.len() < current_n { + v.push(circ.alloc_qubit()); + } + let cmp_eff = cmp_window(i, current_n); + + if pending.is_empty() { + win_idx -= 1; + let codec = window_plan[win_idx]; + let cb = codec.code_bits(); + let tlen = tape.len(); + let data: Vec = tape.split_off(tlen - cb); + if codec == super::codec::DialogCodec::Step0 { + let (t1, raw) = super::codec::decompress_step0_with_t1(circ, &data); + step0_t1 = Some(t1); + pending = raw; + } else { + pending = codec.decompress_window(circ, &data); + } + pending_tail4 = codec == super::codec::DialogCodec::Tail4Top32; + } else if tail4_prefix_encoded { + let suffix = pending.split_off(super::codec::DialogCodec::Triple.code_bits()); + pending = super::codec::DialogCodec::Triple.decompress_window(circ, &pending); + pending.extend(suffix); + tail4_prefix_encoded = false; + } + + let plen = pending.len(); + let cur: Vec = pending.split_off(plen - 3); + if pending_tail4 && pending.len() == 12 { + let suffix = pending.split_off(9); + pending = super::codec::DialogCodec::Triple.compress_window(circ, &pending); + pending.extend(suffix); + tail4_prefix_encoded = true; + } else if pending_tail4 && pending.is_empty() { + pending_tail4 = false; + } + if i >= 250 && std::env::var_os("TRACE_TLM_TAIL").is_some() { + eprintln!( + "TLM_TAIL direction=reverse i={i} active={} tape={} pending={} encoded={tail4_prefix_encoded}", + circ.active_qubits, + tape.len(), + pending.len(), + ); + } + circ.swap(subtracted, cur[0]); + let swp = if i == 0 { + circ.cx(subtracted, cur[1]); + subtracted + } else { + let sf = *swap_flag + .as_ref() + .expect("swap flag live for non-step0 replay"); + circ.swap(sf, cur[1]); + sf + }; + circ.swap(s2, cur[2]); + + for q in cur { + circ.zero_and_free(q); + } + + circ.set_phase(if apply_fwd.is_some() { + "tlm_multiply_gcd_reverse_apply" + } else { + "tlm_inverse_gcd_reverse_apply" + }); + let parked_u0 = if park_odd_u0_enabled(i, "REV") { + let q = u[0]; + Some(park_known_one(circ, q)) + } else { + None + }; + + let parked_v0 = if apply_fwd.is_some() && park_even_v0_enabled() { + let q = v[0]; + Some(park_known_zero(circ, q)) + } else { + None + }; + if let Some((xr, yr)) = apply_fwd { + let t1 = step0_t1.unwrap_or(subtracted); + apply_step_forward( + circ, + i, + &subtracted, + &swp, + &s2, + &t1, + xr, + yr, + &u[1..4], + ); + } + if let Some(q) = parked_v0 { + v[0] = restore_known_zero(circ, q); + } + + circ.set_phase(if apply_fwd.is_some() { + "tlm_multiply_gcd_reverse_body" + } else { + "tlm_inverse_gcd_reverse_body" + }); + controlled_add_active( + circ, + i, + &subtracted, + &u[..current_n], + &v[..current_n], + GcdBit0Mode::ReverseKnownZeroBeforeCx, + apply_fwd.map_or(&[], |(xr, _)| &xr[..3]), + ); + if let Some(q) = parked_u0 { + u[0] = restore_known_one(circ, q); + } + + for j in 1..current_n { + let old_context = crate::point_add::set_op_trace_context( + 0x1200_0000 | (((i as u32) & 0xffff) << 8) | (j as u32 & 0xff), + ); + if !gcd_reverse_cswap_has_structurally_dead_gate(i, j) { + circ.cswap(swp, u[j], v[j]); + } + crate::point_add::restore_op_trace_context(old_context); + } + + if i != 0 { + super::comparator::swap_decision_uncompute_vented( + circ, + &subtracted, + &v[..current_n], + &u[..current_n], + cmp_eff, + &swp, + ); + } + + circ.cx(v[0], subtracted); + + controlled_left_shift(circ, &s2, &v[..current_n]); + circ.x(s2); + circ.cx(v[0], s2); + + if i == 0 { + let t1 = step0_t1.expect("step0 t1 decompressed"); + controlled_left_shift(circ, &t1, &v[..current_n]); + circ.x(t1); + circ.cx(v[0], t1); + } else { + left_shift(circ, &v[..current_n]); + } + + if i == 0 { + let t1 = step0_t1.take().expect("step0 t1 present"); + circ.zero_and_free(t1); + } + if i == 1 { + let sf = swap_flag.take().expect("swap flag still allocated"); + circ.zero_and_free(sf); + } + circ.set_phase("tlm_gcd_step_end"); + trace_step_regions( + circ, + if apply_fwd.is_some() { + "multiply-reverse" + } else { + "inverse-reverse" + }, + i, + trace_region_start, + ); + } + assert!(tape.is_empty(), "tape not fully drained"); + + let q_bytes = q_secp256k1_le(); + for (i, qb) in u.iter().enumerate().take(n) { + if (q_bytes.get(i / 8).copied().unwrap_or(0) >> (i % 8)) & 1 == 1 { + circ.x(*qb); + } + } + for q in u { + circ.zero_and_free(q); + } + circ.zero_and_free(subtracted); + if let Some(swap_flag) = swap_flag { + circ.zero_and_free(swap_flag); + } + circ.zero_and_free(s2); +} + +fn controlled_swap_decision_v_lt_u( + circ: &mut B, + ctrl: &QubitId, + v: &[QubitId], + u: &[QubitId], + k: usize, + target: &QubitId, +) { + super::comparator::controlled_swap_decision_lt_truncated(circ, ctrl, v, u, k, target); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum GcdBit0Mode { + ForwardKnownOneAfterCx, + ReverseKnownZeroBeforeCx, +} + +fn controlled_add_active( + circ: &mut B, + i: usize, + ctrl: &QubitId, + x: &[QubitId], + y: &[QubitId], + bit0_mode: GcdBit0Mode, + dirty_vents: &[QubitId], +) { + + let k = maybe_adjust_late_gcd_k(i, super::next_gcd_k()); + let branch = super::next_gcd_branch(); + let loan_y0 = loan_gcd_y0_enabled() && x.len() > 1; + match bit0_mode { + GcdBit0Mode::ForwardKnownOneAfterCx => { + circ.cx(*ctrl, y[0]); + if loan_y0 { + loan_known_one_gcd_y0(circ, y[0]); + } + } + GcdBit0Mode::ReverseKnownZeroBeforeCx => { + + if loan_y0 { + loan_known_zero_gcd_y0(circ, y[0]); + } + } + } + if x.len() > 1 { + let yr: Vec<&QubitId> = y[1..].iter().collect(); + let xr: Vec<&QubitId> = x[1..].iter().collect(); + super::gidney::with_dirty_vent_pool(dirty_vents, || { + super::gidney::controlled_hybrid_add_capped_branch( + circ, + ctrl, + &yr, + &xr, + k, + super::PAD, + branch, + ); + }); + } + if loan_y0 { + match bit0_mode { + GcdBit0Mode::ForwardKnownOneAfterCx => reclaim_known_one_gcd_y0(circ, y[0]), + GcdBit0Mode::ReverseKnownZeroBeforeCx => reclaim_known_zero_gcd_y0(circ, y[0]), + } + } + if bit0_mode == GcdBit0Mode::ReverseKnownZeroBeforeCx { + circ.cx(*ctrl, y[0]); + } +} + +fn apply_step_forward( + circ: &mut B, + i: usize, + sub: &QubitId, + swp: &QubitId, + s2: &QubitId, + t1: &QubitId, + x_reg: &[QubitId], + y_reg: &[QubitId], + dirty_vents: &[QubitId], +) { + let n = 256usize; + let s2_known_zero = i != 0 && apply_fwd_s2_zero(i); + + circ.set_phase("tlm_apply_forward_mod_add"); + let k = super::next_cout_k(); + let ffg = super::next_ffg(); + if !apply_add_skip(i, true) { + super::gidney::with_dirty_vent_pool(dirty_vents, || { + arith::controlled_mod_add_k( + circ, + sub, + &x_reg[..n], + &y_reg[..n], + Some(k), + Some(ffg), + ); + }); + } + + circ.set_phase("tlm_apply_forward_swap"); + if !apply_fwd_cswap_skip(i) { + for j in 0..n { + circ.cswap(*swp, x_reg[j], y_reg[j]); + } + } + + circ.set_phase("tlm_apply_forward_fold"); + if i == 0 { + controlled_mod_double(circ, t1, y_reg); + controlled_mod_double(circ, s2, y_reg); + } else if s2_known_zero { + super::fused::fused_double_only(circ, y_reg); + } else { + super::fused::fused_double_cdouble(circ, s2, y_reg); + } +} + +fn apply_step_reverse( + circ: &mut B, + i: usize, + sub: &QubitId, + swp: &QubitId, + s2: &QubitId, + t1: &QubitId, + x_reg: &[QubitId], + y_reg: &[QubitId], + dirty_vents: &[QubitId], +) { + let n = 256usize; + let s2_known_zero = i != 0 && apply_inv_s2_zero(i); + + circ.set_phase("tlm_apply_inverse_fold"); + if i == 0 { + controlled_mod_double_reverse(circ, s2, y_reg); + controlled_mod_double_reverse(circ, t1, y_reg); + } else if s2_known_zero { + super::fused::fused_double_only_reverse(circ, y_reg); + } else { + super::fused::fused_double_cdouble_reverse(circ, s2, y_reg); + } + + circ.set_phase("tlm_apply_inverse_swap"); + if !apply_inv_cswap_skip(i) { + for j in 0..n { + circ.cswap(*swp, x_reg[j], y_reg[j]); + } + } + + circ.set_phase("tlm_apply_inverse_mod_sub"); + let k = super::next_cout_k(); + if !apply_add_skip(i, false) { + super::gidney::with_dirty_vent_pool(dirty_vents, || { + controlled_mod_sub_vented(circ, sub, &x_reg[..n], &y_reg[..n], Some(k)); + }); + } +} + +fn controlled_mod_sub_vented(circ: &mut B, ctrl: &QubitId, x: &[QubitId], y: &[QubitId], sched_k: Option) { + let n = x.len(); + assert_eq!(y.len(), n, "x,y equal width"); + let f_bytes = F_SECP256K1.to_le_bytes(); + let anc = circ.alloc_qubit(); + + circ.set_phase("tlm_apply_inverse_mod_sub_register"); + for q in y { + circ.x(*q); + } + controlled_add_active_cout(circ, ctrl, x, y, &anc, sched_k); + for q in y { + circ.x(*q); + } + + circ.set_phase("tlm_apply_inverse_mod_sub_fold"); + for q in &y[..arith::LSBS] { + circ.x(*q); + } + let ffg = super::next_ffg(); + arith::add_f_window_pub(circ, &anc, y, arith::LSBS, &f_bytes, Some(ffg)); + for q in &y[..arith::LSBS] { + circ.x(*q); + } + + circ.set_phase("tlm_apply_inverse_mod_sub_clean"); + let k = arith::msbs().min(n); + let lo = n - k; + let ctrl = *ctrl; + let bit = circ.alloc_bit(); + circ.hmr(anc, bit); + circ.zero_and_free(anc); + circ.push_condition(bit); + let yt: Vec = y[lo..n].to_vec(); + let xt: Vec = x[lo..n].to_vec(); + for q in &xt { + circ.x(*q); + } + + let flag = circ.alloc_qubit(); + super::comparator::compare_geq_chunked_middle(circ, &yt, &xt, &flag, |c, fl| { + c.cz(ctrl, *fl); + }, k); + circ.zero_and_free(flag); + for q in &xt { + circ.x(*q); + } + circ.pop_condition(); +} + +fn controlled_add_active_cout(circ: &mut B, ctrl: &QubitId, x: &[QubitId], y: &[QubitId], cout: &QubitId, sched_k: Option) { + match sched_k { + Some(k) => { + + let yr: Vec<&QubitId> = y.iter().collect(); + let xr: Vec<&QubitId> = x.iter().collect(); + super::gidney::controlled_hybrid_add_cout_refs(circ, ctrl, &yr, &xr, cout, k); + } + None => arith::controlled_add_vented_chunked_cout(circ, ctrl, x, y, arith::APPLY_CHUNK, Some(cout)), + } +} + +#[must_use] +pub fn mod_mul_inverse_in_place( + circ: &mut B, + mut xv: Vec, + y: &[QubitId], + dir: Direction, +) -> Vec { + let n = 256usize; + assert_eq!(xv.len(), n, "xv must be 256 bits"); + assert_eq!(y.len(), n, "y must be 256 bits"); + + match dir { + Direction::Inverse => { + + let tmp: Vec = (0..n).map(|_| circ.alloc_qubit()).collect(); + for j in 0..n { + circ.swap(y[j], tmp[j]); + } + let mut tape = forward_gcd_jump(circ, &mut xv, Some((y, &tmp))); + for q in tmp { + circ.zero_and_free(q); + } + reverse_gcd_jump(circ, &mut xv, &mut tape, None); + xv + } + Direction::Forward => { + + let mut tape = forward_gcd_jump(circ, &mut xv, None); + let tmp: Vec = (0..n).map(|_| circ.alloc_qubit()).collect(); + for j in 0..n { + circ.swap(y[j], tmp[j]); + } + reverse_gcd_jump(circ, &mut xv, &mut tape, Some((&tmp, y))); + clear_zeroed_drift(circ, &tmp[..n]); + for q in tmp { + circ.zero_and_free(q); + } + xv + } + } +} + +fn clear_zeroed_drift(circ: &mut B, reg: &[QubitId]) { + let q_bytes = q_secp256k1_le(); + for (i, qb) in reg.iter().enumerate() { + if (q_bytes.get(i / 8).copied().unwrap_or(0) >> (i % 8)) & 1 == 1 { + circ.x(*qb); + } + } +} diff --git a/src/point_add/trailmix_ludicrous/gidney.rs.orig b/src/point_add/trailmix_ludicrous/gidney.rs.orig new file mode 100644 index 00000000..b01f819b --- /dev/null +++ b/src/point_add/trailmix_ludicrous/gidney.rs.orig @@ -0,0 +1,1963 @@ + +use super::comparator::compare_geq_cin_middle; +use super::{B, BExt}; +use crate::circuit::QubitId; +use std::cell::{Cell, RefCell}; + +thread_local! { + static DIRTY_VENT_POOL: RefCell> = const { RefCell::new(Vec::new()) }; + static THREADED_ADD_CALL_INDEX: Cell = const { Cell::new(0) }; + static HYBRID_ADD_CALL_INDEX: Cell = const { Cell::new(0) }; + static ERASE_GATED_CALL_INDEX: Cell = const { Cell::new(0) }; + static ERASE_GATED_CAPPED_CALL_INDEX: Cell = const { Cell::new(0) }; +} + +pub(super) fn reset_gidney_call_index() { + THREADED_ADD_CALL_INDEX.with(|index| index.set(0)); + HYBRID_ADD_CALL_INDEX.with(|index| index.set(0)); + ERASE_GATED_CALL_INDEX.with(|index| index.set(0)); + ERASE_GATED_CAPPED_CALL_INDEX.with(|index| index.set(0)); +} + +fn next_threaded_add_call_index() -> usize { + THREADED_ADD_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +fn next_hybrid_add_call_index() -> usize { + HYBRID_ADD_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +fn next_erase_gated_call_index() -> usize { + ERASE_GATED_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +fn next_erase_gated_capped_call_index() -> usize { + ERASE_GATED_CAPPED_CALL_INDEX.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +const GIDNEY_THREAD_FWD_DEAD_RANGES: &[(usize, usize, usize)] = &[ + (2591, 30, 30), + (2591, 52, 52), + (2591, 54, 253), + (5, 0, 123), + (1, 18, 18), + (1, 20, 121), + (0, 53, 122), + (4, 0, 65), + (3, 21, 21), + (3, 23, 65), + (2850, 0, 14), + (2851, 0, 13), + (2852, 0, 12), + (2853, 0, 11), + (2854, 0, 10), + (2334, 0, 9), + (2855, 0, 9), + (2865, 0, 9), + (2335, 3, 11), + (2856, 0, 8), + (2878, 3, 11), + (2337, 6, 13), + (2857, 0, 7), + (2909, 6, 13), + (2336, 5, 11), + (2858, 0, 6), + (2894, 5, 11), + (2338, 8, 13), + (2859, 0, 5), + (2925, 8, 13), + (2303, 7, 11), + (2339, 9, 13), + (2340, 10, 14), + (2860, 0, 4), + (2944, 9, 13), + (2964, 10, 14), + (2272, 10, 13), + (2341, 11, 14), + (2344, 14, 17), + (2602, 249, 252), + (2844, 9, 9), + (2844, 11, 13), + (2846, 8, 11), + (2861, 0, 3), + (2985, 11, 14), + (3007, 12, 15), + (62, 52, 55), + (68, 53, 56), + (74, 54, 57), + (80, 51, 54), + (86, 52, 55), + (92, 53, 56), + (98, 50, 53), + (104, 52, 54), + (110, 53, 55), + (116, 50, 52), + (122, 51, 53), + (128, 52, 54), + (134, 49, 51), + (140, 50, 52), + (146, 51, 53), + (152, 48, 50), + (158, 49, 51), + (164, 50, 52), + (170, 47, 49), + (182, 49, 51), + (2256, 11, 13), + (2287, 9, 11), + (2316, 7, 9), + (2332, 6, 8), + (2342, 13, 15), + (2343, 14, 16), + (2358, 29, 31), + (2601, 251, 253), + (2603, 249, 251), + (2604, 248, 250), + (2605, 247, 249), + (2606, 246, 248), + (2607, 245, 247), + (2613, 239, 241), + (2843, 11, 13), + (2845, 9, 11), + (2847, 7, 9), + (2848, 6, 8), + (2862, 0, 2), + (3030, 14, 16), + (3052, 15, 17), + (56, 51, 53), +]; + +const GIDNEY_THREAD_SUM_DEAD_RANGES: &[(usize, usize, usize)] = &[ + (2334, 0, 10), + (2865, 0, 10), + (2335, 3, 12), + (2878, 3, 12), + (2337, 6, 14), + (2909, 6, 14), + (2336, 5, 12), + (2894, 5, 12), + (2338, 8, 14), + (2925, 8, 14), + (2339, 9, 14), + (2340, 10, 15), + (2844, 9, 14), + (2944, 9, 14), + (2964, 10, 15), + (2256, 10, 14), + (2272, 10, 14), + (2332, 5, 9), + (2341, 11, 15), + (2344, 14, 18), + (2602, 249, 253), + (2846, 8, 12), + (2985, 11, 15), + (3007, 12, 16), + (128, 51, 54), + (2287, 9, 12), + (2303, 9, 12), + (2316, 7, 10), + (2342, 13, 16), + (2343, 14, 17), + (2358, 29, 32), + (2601, 251, 254), + (2604, 248, 251), + (2605, 247, 250), + (2606, 246, 249), + (2607, 245, 248), + (2613, 239, 242), + (2843, 11, 14), + (2845, 9, 12), + (2847, 7, 10), + (2848, 6, 9), + (2849, 6, 9), + (3030, 14, 17), + (3052, 15, 18), + (3185, 22, 25), + (62, 52, 55), + (68, 53, 56), + (74, 54, 57), + (80, 51, 54), + (86, 52, 55), + (92, 53, 56), + (98, 50, 53), + (104, 52, 54), + (110, 53, 55), + (116, 50, 52), + (122, 51, 53), + (140, 50, 52), + (146, 51, 53), + (152, 48, 50), + (158, 49, 51), + (164, 50, 52), + (170, 47, 49), + (182, 49, 51), + (2217, 13, 15), + (2237, 12, 14), + (2345, 16, 18), + (2346, 17, 19), + (2354, 26, 28), + (2355, 27, 29), + (2356, 28, 30), + (2357, 29, 31), + (2359, 31, 33), + (2360, 32, 34), + (2361, 33, 35), + (2362, 34, 36), + (2363, 35, 37), + (2364, 36, 38), + (2365, 37, 39), + (2368, 40, 42), + (2370, 42, 44), + (2599, 252, 254), + (2600, 252, 254), + (2608, 245, 247), + (2609, 244, 246), + (2611, 242, 244), + (2612, 241, 243), + (2614, 239, 241), + (2615, 238, 240), + (2617, 236, 238), + (2618, 235, 237), + (2620, 233, 235), + (2621, 232, 234), + (2626, 227, 229), + (2627, 226, 228), + (2838, 15, 17), + (2839, 14, 16), + (2841, 13, 15), + (2842, 12, 14), + (3069, 16, 18), + (3084, 17, 19), + (3098, 17, 19), + (3201, 24, 26), + (3216, 25, 27), + (3232, 24, 26), + (3247, 25, 27), + (3261, 26, 28), + (3290, 26, 28), + (3304, 27, 29), + (3318, 26, 28), + (3332, 27, 29), + (3350, 28, 30), + (3364, 27, 29), + (3397, 29, 31), + (3415, 28, 30), + (3430, 29, 31), + (3444, 30, 32), + (3459, 29, 31), + (56, 51, 53), +]; + +const GIDNEY_THREAD_BOUNDARY_DEAD_CALLS: &[usize] = &[ + 0, + 1, + 1002, + 1010, + 1018, + 1026, + 1034, + 104, + 1043, + 1060, + 1069, + 1078, + 1087, + 1096, + 110, + 1105, + 1114, + 1123, + 1132, + 1141, + 1150, + 116, + 1168, + 1177, + 1186, + 1195, + 1204, + 1213, + 122, + 1222, + 1231, + 1240, + 1249, + 1258, + 1259, + 1268, + 1278, + 128, + 1287, + 1296, + 1297, + 1306, + 1307, + 1325, + 1334, + 1335, + 1344, + 1353, + 1362, + 1371, + 1380, + 1389, + 1399, + 14, + 140, + 1408, + 1418, + 1428, + 1438, + 1448, + 1458, + 146, + 1468, + 1478, + 1488, + 1498, + 1508, + 152, + 158, + 164, + 170, + 176, + 182, + 188, + 194, + 2, + 20, + 200, + 206, + 212, + 218, + 224, + 230, + 236, + 242, + 248, + 254, + 26, + 260, + 266, + 272, + 278, + 284, + 2850, + 2851, + 2852, + 2853, + 2854, + 2855, + 2856, + 2857, + 2858, + 2859, + 2860, + 2861, + 2862, + 2863, + 2864, + 290, + 296, + 302, + 308, + 314, + 32, + 320, + 326, + 333, + 339, + 346, + 353, + 360, + 367, + 3674, + 3684, + 3694, + 3704, + 3714, + 3724, + 3734, + 374, + 3744, + 3754, + 3764, + 3774, + 3783, + 3793, + 38, + 3802, + 381, + 3811, + 3820, + 3829, + 3838, + 3847, + 3848, + 3857, + 3866, + 3876, + 388, + 3886, + 3895, + 3905, + 3915, + 3924, + 3934, + 3943, + 395, + 3952, + 3961, + 3970, + 3979, + 3988, + 3997, + 4006, + 4015, + 402, + 4024, + 4033, + 4042, + 4051, + 4060, + 4069, + 4078, + 4087, + 409, + 4096, + 4105, + 4114, + 4123, + 4132, + 4140, + 4149, + 4157, + 416, + 4165, + 4173, + 4181, + 4189, + 4197, + 4205, + 4213, + 4221, + 4229, + 423, + 4237, + 4245, + 4253, + 4261, + 4269, + 4277, + 4285, + 4293, + 430, + 4301, + 4309, + 4317, + 4325, + 4333, + 4341, + 4349, + 4357, + 4365, + 437, + 4373, + 4389, + 4397, + 44, + 4404, + 4412, + 4420, + 4428, + 4436, + 444, + 4444, + 4451, + 4459, + 4466, + 4480, + 4487, + 4494, + 4501, + 4508, + 451, + 4515, + 4522, + 4529, + 4543, + 4550, + 4557, + 4564, + 4571, + 4578, + 458, + 4585, + 4592, + 4599, + 4606, + 4613, + 4620, + 4627, + 4634, + 4641, + 4648, + 465, + 4655, + 4662, + 4669, + 4676, + 4683, + 4690, + 4697, + 4704, + 4711, + 4718, + 472, + 4725, + 4732, + 4739, + 4746, + 4753, + 4760, + 4767, + 4774, + 4781, + 4788, + 479, + 4795, + 4802, + 4809, + 4816, + 4823, + 4830, + 4837, + 4844, + 4850, + 4857, + 486, + 4863, + 4869, + 4875, + 4881, + 4887, + 4893, + 4899, + 4905, + 4911, + 4917, + 4923, + 4929, + 493, + 4935, + 4941, + 4947, + 4953, + 4959, + 4965, + 4971, + 4977, + 4983, + 4989, + 4995, + 50, + 500, + 5001, + 5007, + 5013, + 5019, + 5025, + 5031, + 5037, + 5043, + 5049, + 5055, + 5061, + 5067, + 507, + 5073, + 5079, + 5085, + 5091, + 5097, + 5103, + 5109, + 5115, + 5121, + 514, + 521, + 528, + 535, + 542, + 549, + 556, + 56, + 563, + 570, + 577, + 584, + 591, + 598, + 605, + 612, + 619, + 62, + 626, + 633, + 640, + 647, + 654, + 661, + 668, + 675, + 68, + 682, + 689, + 696, + 703, + 710, + 717, + 724, + 732, + 739, + 74, + 747, + 755, + 763, + 771, + 779, + 786, + 794, + 8, + 80, + 802, + 810, + 818, + 826, + 834, + 842, + 850, + 86, + 866, + 874, + 882, + 890, + 898, + 906, + 914, + 92, + 922, + 930, + 938, + 946, + 954, + 962, + 970, + 978, + 98, + 986, + 994, +]; + +const GIDNEY_THREAD_FWD_REMAINDER_KEYS: &[u32] = &[ + 521, 9767, 11304, 11305, 12846, 12847, 45105, 45106, 48175, 48176, 49712, 49713, + 51249, 51250, 52782, 52783, 54319, 54320, 55856, 55857, 57389, 57390, 58926, 58927, + 60463, 60464, 61996, 61997, 63533, 63534, 65070, 65071, 66603, 66604, 68140, 68141, + 69677, 69678, 71210, 71211, 72747, 72748, 74284, 74285, 75817, 75818, 77354, 77355, + 78892, 80424, 80425, 81961, 81962, 83498, 83499, 85287, 85288, 86824, 86825, 88618, + 90407, 92200, 93992, 93993, 95781, 95782, 97575, 99368, 101156, 101157, 102950, 104742, + 104743, 106532, 108324, 108325, 110118, 111907, 113699, 113700, 115493, 117282, 119075, 120868, + 122657, 124450, 126243, 128032, 129825, 131618, 133406, 133407, 135200, 136993, 138782, 140575, + 142368, 144156, 144157, 145950, 147743, 149532, 151325, 153118, 154911, 154912, 156704, 156705, + 158493, 160282, 162075, 163868, 165657, 167454, 167455, 169243, 171036, 171037, 172830, 174622, + 174623, 176406, 176407, 178204, 178205, 179997, 179998, 181782, 183579, 183580, 185372, 185373, + 187417, 187418, 189210, 189211, 191259, 191260, 193305, 195353, 195354, 197398, 201236, 203285, + 205330, 207383, 207384, 209432, 209433, 211477, 211478, 213522, 215576, 217620, 217621, 219669, + 219670, 221718, 221719, 223763, 223764, 225812, 225813, 227861, 227862, 229907, 231956, 234000, + 236045, 240143, 242188, 244237, 246291, 248335, 248336, 250384, 250385, 252429, 254478, 254479, + 256523, 260617, 262665, 262666, 264715, 267016, 269065, 271370, 273671, 275976, 278281, 280582, + 282887, 285192, 287493, 289798, 294404, 296709, 299014, 301314, 301315, 303620, 305925, 308226, + 310531, 312836, 319747, 324609, 327170, 331817, 334593, 336936, 339240, 344102, 346406, 348710, + 351012, 353316, 355620, 358178, 360482, 363042, 365600, 368160, 370720, 373278, 375837, 375838, + 378398, 380956, 383516, 386076, 397092, 402722, 411681, 427296, 430623, 441118, 444959, 456990, + 460829, 465436, 480796, 484379, 491803, 495386, 503322, 511256, 545041, 550672, 556559, 562190, + 567565, 567566, 572684, 572685, 600336, 600337, 600593, 600594, 600850, 601364, 601621, 601878, + 602394, 602650, 602651, 602907, 602908, 603164, 603165, 603421, 603422, 603935, 603936, 604192, + 604193, 604449, 604450, 604706, 604707, 604963, 604964, 605220, 605221, 605478, 605735, 605992, + 606249, 606506, 608048, 626553, 638889, 665341, 665596, 665597, 665852, 665853, 667893, 667894, + 668148, 668149, 668404, 668658, 668659, 668913, 668914, 669423, 669424, 669678, 669679, 669933, + 669934, 670188, 670189, 670443, 670444, 670698, 670699, 670953, 670954, 671208, 671209, 671464, + 671718, 671719, 671974, 672229, 672483, 672484, 672738, 672739, 672994, 673249, 673504, 673759, + 674014, 674269, 674524, 674779, 675034, 675544, 675799, 676054, 676309, 676819, 677074, 677329, + 678604, 679114, 679624, 680644, 680899, 687530, 687785, 689315, 689825, 690080, 690845, 691100, + 691610, 691865, 692120, 692630, 692885, 693140, 694670, 694925, 695180, 695690, 695945, 696200, + 696455, 696710, 696965, 697475, 697730, 699515, 700025, 700279, 700535, 707419, 708439, 709969, + 710224, 710479, 710989, 711499, 712264, 713284, 714304, 714559, 716089, 716344, 716599, 717364, + 717619, 718384, 718639, 719404, 720424, 720934, 721189, 721954, 722464, 722974, 723229, 723484, + 723739, 723994, 726289, 726543, 726544, 726799, 727054, 727309, 727310, 727564, 727565, 785680, + 785681, 789521, 789522, 793105, 793106, 796435, 799764, 803093, 806422, 810775, 815383, 815384, + 819480, 819481, 823321, 823322, 827416, 827417, 831257, 831258, 834842, 834843, 838682, 842266, + 842267, 845851, 845852, 849434, 849435, 853019, 853020, 857628, 857629, 861211, 861212, 865821, + 869661, 869662, 874268, 874269, 878109, 878110, 881694, 885533, 885534, 889119, 892447, 892448, + 896030, 896031, 955936, 958496, 961056, 963618, 973348, 975652, 985088, 992257, 1020933, 1023236, + 1032452, 1043975, 1046278, 1055498, 1059848, 1070347, 1072399, 1074445, 1076496, 1076497, 1078544, 1080595, + 1092880, 1094932, 1096979, 1099030, 1101077, 1103124, 1105175, 1107222, 1109269, 1115414, 1117465, 1131546, + 1133593, 1135643, 1135644, 1137691, 1139482, 1143324, 1146910, 1152287, 1154078, 1155869, 1159455, 1170209, + 1172000, 1195298, 1198880, 1222183, 1223974, 1227560, 1229351, 1248044, 1251114, 1255723, 1257262, 1260332, + 1261871, 1263406, 1272624, 1274159, 1275698, 1278768, 1280307, 1284916, 1294134, 1298743, 1301813, 1303352, +]; + +const GIDNEY_THREAD_SUM_REMAINDER_KEYS: &[u32] = &[ + 9767, 11304, 11305, 12846, 12847, 45105, 45106, 48175, 48176, 49712, 49713, 51249, + 51250, 52782, 52783, 54319, 54320, 55856, 55857, 57389, 57390, 58926, 58927, 60463, + 60464, 61996, 61997, 63533, 63534, 65070, 65071, 66604, 68140, 68141, 69677, 69678, + 71210, 71211, 72747, 72748, 74284, 74285, 75817, 75818, 77354, 77355, 78892, 80424, + 80425, 81961, 81962, 83498, 83499, 85287, 85288, 86824, 86825, 88617, 88618, 90407, + 92200, 93993, 95781, 95782, 97575, 99368, 101156, 101157, 102950, 104742, 104743, 106532, + 108324, 108325, 110118, 111907, 113699, 113700, 117282, 120868, 122657, 124450, 126243, 128032, + 129825, 131618, 133406, 133407, 135200, 136993, 138782, 140575, 142368, 144156, 144157, 145950, + 147743, 149532, 151325, 153118, 154911, 154912, 156704, 156705, 158493, 160282, 162075, 163868, + 165657, 167454, 167455, 169243, 171036, 171037, 172830, 174622, 174623, 176406, 176407, 178204, + 178205, 179997, 179998, 181782, 183579, 183580, 185372, 185373, 187417, 187418, 189210, 189211, + 191259, 191260, 193305, 195353, 195354, 197398, 201236, 203285, 205330, 207383, 207384, 209433, + 211477, 211478, 213522, 215576, 217620, 217621, 221718, 221719, 223763, 223764, 225812, 225813, + 227861, 227862, 229907, 231956, 234000, 236045, 240143, 242188, 246291, 248336, 250384, 250385, + 252429, 254478, 254479, 256523, 260617, 262666, 264715, 267016, 271370, 273671, 275975, 275976, + 278281, 280582, 282887, 285192, 287492, 287493, 289798, 294403, 294404, 299014, 301314, 301315, + 305925, 308226, 310531, 312836, 315137, 317442, 319747, 322304, 324609, 327170, 331817, 332032, + 334592, 334593, 339240, 341760, 344102, 346406, 348710, 351012, 353316, 355620, 358178, 360482, + 363042, 365600, 368160, 370720, 373278, 375837, 375838, 378398, 380956, 383516, 386076, 388902, + 391461, 394276, 397093, 399907, 399908, 402722, 405796, 408610, 408611, 411682, 414755, 441118, + 441119, 444959, 444960, 448543, 452382, 456990, 456991, 460829, 460830, 465436, 465437, 469021, + 469022, 473629, 477212, 480796, 480797, 484379, 484380, 487963, 491803, 491804, 495386, 495387, + 499226, 503322, 503323, 507162, 511256, 511257, 523286, 536851, 540690, 545041, 545042, 550672, + 550673, 556559, 556560, 562190, 562191, 600850, 600851, 601108, 601364, 601365, 601621, 601622, + 601878, 601879, 602136, 602394, 602395, 605735, 605736, 605992, 605993, 606506, 606507, 607020, + 607021, 608820, 609077, 609333, 609334, 610362, 610619, 610876, 611133, 612161, 612418, 612675, + 613703, 613960, 614217, 614474, 614731, 615245, 615759, 616273, 616530, 616787, 617044, 618072, + 618329, 618586, 619100, 619614, 620128, 620642, 620899, 621413, 621670, 621927, 622184, 622441, + 622955, 623212, 623469, 623983, 625268, 625525, 625782, 626039, 626040, 626553, 626554, 627068, + 628867, 629123, 629124, 629381, 629638, 629895, 630152, 630409, 630666, 630923, 631437, 631693, + 631694, 633493, 633750, 634007, 634264, 634521, 635549, 635806, 636320, 636834, 637348, 638118, + 638889, 638890, 639147, 639917, 640431, 640688, 641202, 641716, 642487, 642744, 643001, 643258, + 643772, 644029, 644286, 644543, 645057, 645314, 645828, 646856, 647113, 647627, 648141, 648398, + 648912, 649169, 649426, 649939, 649940, 650197, 650454, 650711, 651225, 651482, 653281, 653538, + 653795, 654052, 654823, 655594, 656622, 656879, 657907, 660477, 665086, 665341, 665342, 668404, + 668405, 670699, 670700, 671464, 671465, 671719, 671720, 671974, 671975, 672229, 672230, 672994, + 672995, 673249, 673250, 673504, 673505, 673759, 673760, 674014, 674015, 674269, 674270, 674524, + 674525, 674779, 674780, 675034, 675035, 675290, 675544, 675545, 675799, 675800, 676054, 676055, + 676309, 676310, 676565, 676819, 676820, 677074, 677075, 677329, 677330, 677585, 677840, 678095, + 678350, 678604, 678605, 678860, 679114, 679115, 679370, 679624, 679625, 679880, 680135, 680390, + 680900, 681155, 681410, 681665, 681920, 682175, 682430, 682685, 682940, 683195, 683705, 683960, + 684214, 684215, 684470, 684980, 685235, 685490, 685745, 686000, 686255, 686510, 686765, 687020, + 687275, 687530, 687531, 687785, 687786, 688040, 688295, 688550, 688805, 689060, 689315, 689316, + 689570, 689825, 689826, 690080, 690081, 690336, 690590, 690845, 690846, 691100, 691101, 691355, + 691610, 691611, 691865, 691866, 692120, 692121, 692376, 692630, 692631, 692885, 692886, 693140, + 693141, 693395, 693650, 693905, 694160, 694415, 694671, 694925, 694926, 695180, 695181, 695435, + 695690, 695691, 695945, 695946, 696200, 696201, 696455, 696456, 696710, 696711, 696965, 696966, + 697475, 697476, 697730, 697984, 697985, 698495, 698750, 699005, 699260, 699515, 699516, 699770, + 699771, 700025, 700026, 700279, 700280, 700535, 700790, 701045, 701300, 701555, 701810, 702065, + 702575, 702830, 703085, 703340, 703595, 703850, 704105, 704360, 704615, 704869, 704870, 705125, + 705380, 705635, 706145, 706400, 706655, 706910, 707165, 707675, 707930, 708185, 708439, 708440, + 708950, 709205, 709460, 709715, 710224, 710225, 710479, 710480, 710735, 710989, 710990, 711245, + 711499, 711500, 711755, 712010, 712264, 712265, 712520, 712775, 713030, 713285, 713794, 713795, + 714050, 714305, 714560, 714815, 715070, 715325, 715580, 716089, 716090, 716344, 716345, 716599, + 716600, 716855, 717109, 717110, 717364, 717365, 717619, 717620, 717875, 719404, 719405, 719660, + 719915, 720170, 720424, 720425, 720680, 720934, 720935, 721189, 721190, 721445, 721700, 721954, + 721955, 722210, 722464, 722465, 722720, 722974, 722975, 723229, 723230, 723484, 723485, 723739, + 723740, 723994, 723995, 724503, 724758, 725013, 725268, 725779, 726034, 726289, 726290, 727054, + 727055, 796435, 796436, 799764, 799765, 803093, 803094, 806422, 806423, 810775, 810776, 838682, + 838683, 865821, 865822, 905761, 908834, 911907, 914978, 918051, 923939, 926756, 929573, 932388, + 935205, 950814, 955936, 958496, 961056, 963618, 973348, 975652, 985088, 987432, 992257, 997162, + 1014020, 1020933, 1023236, 1032452, 1041672, 1043975, 1046278, 1055498, 1059848, 1064202, 1068300, 1070347, + 1072399, 1074445, 1076496, 1076497, 1078544, 1080595, 1092880, 1094932, 1096979, 1099030, 1101076, 1101077, + 1103124, 1105175, 1107221, 1107222, 1109269, 1115414, 1117465, 1131546, 1133592, 1133593, 1135643, 1135644, + 1137690, 1137691, 1139482, 1143324, 1146910, 1152287, 1154078, 1155869, 1159455, 1170209, 1171999, 1172000, + 1193503, 1195298, 1197089, 1198880, 1222183, 1223974, 1227560, 1229351, 1244970, 1248044, 1251114, 1252653, + 1255723, 1257262, 1260332, 1261871, 1263406, 1272624, 1274159, 1275698, 1278768, 1280307, 1284916, 1292595, + 1294134, 1298743, 1301813, 1303352, 1304887, +]; + +fn gidney_structural_dead_enabled() -> bool { + std::env::var_os("TLM_GIDNEY_SKIP_STRUCTURAL_DEAD_CALLS").is_some() +} + +fn gidney_skip_top2_thread_enabled() -> bool { + std::env::var_os("TLM_GIDNEY_SKIP_TOP2_THREAD").is_some() +} + +fn gidney_skip_fullvent_top2_enabled() -> bool { + std::env::var_os("TLM_GIDNEY_SKIP_FULLVENT_TOP2").is_some() +} + +fn gidney_skip_exact_remainder_enabled() -> bool { + std::env::var_os("TLM_GIDNEY_SKIP_EXACT_REMAINDER").is_some() +} + +fn gidney_skip_exact_fwd_remainder_enabled() -> bool { + gidney_skip_exact_remainder_enabled() + || std::env::var_os("TLM_GIDNEY_SKIP_EXACT_FWD_REMAINDER").is_some() +} + +fn gidney_skip_exact_sum_remainder_enabled() -> bool { + gidney_skip_exact_remainder_enabled() + || std::env::var_os("TLM_GIDNEY_SKIP_EXACT_SUM_REMAINDER").is_some() +} + +fn gidney_skip_exact_erase_ccz_enabled() -> bool { + std::env::var_os("TLM_GIDNEY_SKIP_EXACT_ERASE_CCZ").is_some() + || std::env::var_os("TLM_GIDNEY_SKIP_EXACT_ERASE_ALL_CCZ").is_some() +} + +fn gidney_skip_exact_erase_capped_ccz_enabled() -> bool { + std::env::var_os("TLM_GIDNEY_SKIP_EXACT_ERASE_ALL_CCZ").is_some() + || std::env::var_os("TLM_GIDNEY_SKIP_EXACT_ERASE_CAPPED_CCZ").is_some() +} + +fn gidney_skip_small_residual_enabled() -> bool { + std::env::var_os("TLM_GIDNEY_SKIP_SMALL_RESIDUAL_DEAD").is_some() +} + +fn gidney_key(call_index: usize, bit: usize) -> u32 { + (((call_index as u32) & 0xffff) << 8) | (bit as u32 & 0xff) +} + +const GIDNEY_THREAD_BOUNDARY_RESIDUAL_CALLS: &[usize] = &[ + 134, 858, 1051, 1159, 1316, 3885, 3923, 4381, 4473, 4536, 5127, +]; + +const GIDNEY_ERASE_CCZ_RESIDUAL_CALLS: &[usize] = &[ + 2418, 2425, 2431, 2444, 2522, 2552, 2591, 2641, 2646, 2727, +]; + +const GIDNEY_ERASE_CAPPED_CCZ_RESIDUAL_CALLS: &[usize] = &[ + 15, 595, 605, 607, 626, 801, 807, 834, 849, 867, 870, 876, 888, 897, 903, + 909, 933, 939, 942, 957, 960, 975, 996, 999, 1002, 1035, 1047, 1056, 1071, + 1089, 1095, 1107, 1116, 1128, 1137, +]; + +const GIDNEY_ERASE_CCZ_REMAINDER_CALLS: &[usize] = &[ + 0, 1, 2, 308, 320, 337, 370, 379, 384, 389, 394, 399, 404, 409, 414, 419, + 424, 429, 434, 439, 444, 449, 454, 460, 465, 471, 477, 483, 489, 495, 501, 507, + 513, 519, 531, 537, 543, 549, 555, 561, 567, 573, 579, 585, 591, 597, 604, 610, + 617, 630, 637, 656, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, + 1528, 1529, 1530, 1531, 1532, 2379, 2398, 2405, 2450, 2456, 2462, 2468, 2474, + 2480, 2498, 2504, 2510, 2516, 2528, 2534, 2540, 2558, 2564, 2575, 2581, 2586, + 2596, 2601, 2606, 2611, 2616, 2621, 2626, 2651, 2656, 2665, +]; + +const GIDNEY_ERASE_CAPPED_CCZ_REMAINDER_CALLS: &[usize] = &[ + 1, 2, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, + 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, + 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, + 150, 153, 156, 159, 162, 165, 168, 171, 174, 177, 180, 183, 186, 189, + 192, 195, 198, 201, 204, 207, 210, 213, 216, 219, 222, 225, 228, 231, + 234, 237, 240, 243, 246, 249, 252, 255, 258, 261, 264, 267, 270, 273, + 276, 279, 282, 285, 288, 291, 294, 297, 300, 303, 306, 309, 312, 315, + 318, 321, 324, 327, 330, 333, 336, 339, 342, 345, 348, 351, 357, 360, + 366, 369, 372, 378, 381, 384, 387, 390, 393, 396, 402, 537, 542, 544, + 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, + 575, 577, 579, 581, 583, 585, 587, 589, 591, 593, 597, 599, 601, 603, + 609, 611, 613, 615, 617, 619, 624, 634, 765, 771, 774, 777, 780, 783, + 786, 789, 795, 798, 816, 819, 822, 825, 828, 831, 837, 843, 846, 852, + 855, 858, 864, 879, 882, 885, 891, 900, 906, 912, 915, 921, 924, 927, + 930, 936, 945, 951, 954, 963, 969, 972, 978, 981, 984, 987, 990, 993, + 1005, 1008, 1011, 1014, 1017, 1020, 1023, 1026, 1029, 1032, 1038, 1041, + 1044, 1050, 1053, 1059, 1062, 1065, 1068, 1074, 1077, 1080, 1083, 1086, + 1092, 1098, 1101, 1104, 1110, 1113, 1119, 1122, 1125, 1131, +]; + +fn gidney_erase_ccz_has_exact_dead_call(call_index: usize) -> bool { + if super::drops_off_family("GIDERASE") { + return false; + } + + if gidney_skip_small_residual_enabled() + && GIDNEY_ERASE_CCZ_RESIDUAL_CALLS + .binary_search(&call_index) + .is_ok() + { + return true; + } + gidney_skip_exact_erase_ccz_enabled() + && GIDNEY_ERASE_CCZ_REMAINDER_CALLS + .binary_search(&call_index) + .is_ok() +} + +fn gidney_erase_capped_ccz_has_exact_dead_call(call_index: usize) -> bool { + if super::drops_off_family("GIDERASEC") { + return false; + } + + if gidney_skip_small_residual_enabled() + && GIDNEY_ERASE_CAPPED_CCZ_RESIDUAL_CALLS + .binary_search(&call_index) + .is_ok() + { + return true; + } + gidney_skip_exact_erase_capped_ccz_enabled() + && GIDNEY_ERASE_CAPPED_CCZ_REMAINDER_CALLS + .binary_search(&call_index) + .is_ok() +} + +fn threaded_add_call_has_structurally_dead_forward( + call_index: usize, + bit: usize, + total: usize, + width: usize, + vents: usize, +) -> bool { + if super::drops_off_family("THRFWD") { + return false; + } + + if gidney_skip_exact_fwd_remainder_enabled() + && GIDNEY_THREAD_FWD_REMAINDER_KEYS + .binary_search(&gidney_key(call_index, bit)) + .is_ok() + { + return true; + } + if gidney_skip_fullvent_top2_enabled() && vents >= width && bit + 2 >= width { + return true; + } + if gidney_skip_top2_thread_enabled() && bit + 2 >= total { + return true; + } + gidney_structural_dead_enabled() + && GIDNEY_THREAD_FWD_DEAD_RANGES + .iter() + .any(|&(call, lo, hi)| call == call_index && (lo..=hi).contains(&bit)) +} + +fn threaded_add_call_has_structurally_dead_boundary(call_index: usize) -> bool { + if super::drops_off_family("THRBND") { + return false; + } + + if gidney_skip_small_residual_enabled() + && GIDNEY_THREAD_BOUNDARY_RESIDUAL_CALLS + .binary_search(&call_index) + .is_ok() + { + return true; + } + gidney_structural_dead_enabled() && GIDNEY_THREAD_BOUNDARY_DEAD_CALLS.contains(&call_index) +} + +fn threaded_add_call_has_structurally_dead_sum( + call_index: usize, + bit: usize, + total: usize, + width: usize, + vents: usize, +) -> bool { + if super::drops_off_family("THRSUM") { + return false; + } + + if gidney_skip_exact_sum_remainder_enabled() + && GIDNEY_THREAD_SUM_REMAINDER_KEYS + .binary_search(&gidney_key(call_index, bit)) + .is_ok() + { + return true; + } + if gidney_skip_fullvent_top2_enabled() && vents >= width && bit + 2 >= width { + return true; + } + if gidney_skip_top2_thread_enabled() && bit + 2 >= total { + return true; + } + gidney_structural_dead_enabled() + && GIDNEY_THREAD_SUM_DEAD_RANGES + .iter() + .any(|&(call, lo, hi)| call == call_index && (lo..=hi).contains(&bit)) +} + +pub fn with_dirty_vent_pool(dirty: &[QubitId], body: impl FnOnce() -> R) -> R { + let count = std::env::var("TLM_DIRTY_VENTS") + .ok() + .and_then(|value| value.parse::().ok()) + .unwrap_or(0) + .min(dirty.len()); + let prior = DIRTY_VENT_POOL.with(|pool| { + std::mem::replace(&mut *pool.borrow_mut(), dirty[..count].to_vec()) + }); + let result = body(); + DIRTY_VENT_POOL.with(|pool| { + *pool.borrow_mut() = prior; + }); + result +} + +fn dirty_vent_pool() -> Vec { + DIRTY_VENT_POOL.with(|pool| pool.borrow().clone()) +} + +fn trace_schedule_fit( + trace_env: &str, + family: &str, + mode: &str, + fit: super::ScheduleFit, + effective: usize, + width: usize, + entry_active: u32, + timeline_start: usize, + ops_start: usize, + circ: &B, +) { + if std::env::var_os(trace_env).is_none() { + return; + } + let local_peak = circ.active_timeline[timeline_start..] + .iter() + .map(|(_, active)| *active) + .max() + .unwrap_or(entry_active); + eprintln!( + "TLM_{family} call={} phase={} mode={} width={} base={} selected={} effective={} entry_active={} local_peak={} ops_added={} ops={}", + fit.call_index, + circ.phase, + mode, + width, + fit.base, + fit.selected, + effective, + entry_active, + local_peak, + circ.current_ops_len().saturating_sub(ops_start), + circ.current_ops_len(), + ); +} + +pub fn controlled_hybrid_add_refs(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId]) { + controlled_hybrid_add_refs_impl(circ, ctrl, a, b, false); +} + +fn controlled_hybrid_add_refs_skiplow(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId]) { + controlled_hybrid_add_refs_impl(circ, ctrl, a, b, true); +} + +fn controlled_hybrid_add_refs_impl(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], skip_low_ctrl_sum: bool) { + let n = a.len(); + assert_eq!(b.len(), n, "controlled_hybrid_add: a, b must match width"); + if n == 0 { + return; + } + if n == 1 { + circ.ccx(*ctrl, *b[0], *a[0]); + return; + } + let call_index = next_hybrid_add_call_index(); + + let fit = super::next_hyb_v_fit(); + let timeline_start = circ.active_timeline.len(); + let entry_active = circ.active_qubits; + let ops_start = circ.current_ops_len(); + let vents = super::target_qubit_headroom(circ) + .map_or(fit.selected, |headroom| fit.selected.min(headroom)); + + for i in 1..n { + circ.cx(*b[i], *a[i]); + } + for i in (1..n - 1).rev() { + circ.cx(*b[i], *b[i + 1]); + } + + #[derive(Clone, Copy)] + enum VentLane { + Clean(QubitId), + Dirty(QubitId), + } + let dirty_pool = dirty_vent_pool(); + let mut vent_ancs: Vec> = (0..n - 1).map(|_| None).collect(); + for i in 0..n - 1 { + if i < vents { + if let Some(&dirty) = dirty_pool.get(i) { + debug_assert_ne!(dirty, *a[i]); + debug_assert_ne!(dirty, *b[i]); + debug_assert_ne!(dirty, *b[i + 1]); + circ.cx(dirty, *b[i + 1]); + let old_context = crate::point_add::set_op_trace_context( + 0x1600_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*a[i], *b[i], dirty); + crate::point_add::restore_op_trace_context(old_context); + circ.cx(dirty, *b[i + 1]); + vent_ancs[i] = Some(VentLane::Dirty(dirty)); + } else { + let anc = circ.alloc_qubit(); + let old_context = crate::point_add::set_op_trace_context( + 0x1600_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*a[i], *b[i], anc); + crate::point_add::restore_op_trace_context(old_context); + circ.cx(anc, *b[i + 1]); + vent_ancs[i] = Some(VentLane::Clean(anc)); + } + } else { + let old_context = crate::point_add::set_op_trace_context( + 0x1600_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*a[i], *b[i], *b[i + 1]); + crate::point_add::restore_op_trace_context(old_context); + } + } + + for i in (0..n - 1).rev() { + let old_context = crate::point_add::set_op_trace_context( + 0x1700_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*ctrl, *b[i + 1], *a[i + 1]); + crate::point_add::restore_op_trace_context(old_context); + if let Some(lane) = vent_ancs[i].take() { + match lane { + VentLane::Clean(anc) => { + circ.cx(anc, *b[i + 1]); + let bit = circ.alloc_bit(); + circ.hmr(anc, bit); + circ.zero_and_free(anc); + circ.cz_if_bit(*a[i], *b[i], bit); + } + VentLane::Dirty(dirty) => { + circ.cx(dirty, *b[i + 1]); + let old_context = crate::point_add::set_op_trace_context( + 0x1800_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*a[i], *b[i], dirty); + crate::point_add::restore_op_trace_context(old_context); + circ.cx(dirty, *b[i + 1]); + } + } + } else { + let old_context = crate::point_add::set_op_trace_context( + 0x1900_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*a[i], *b[i], *b[i + 1]); + crate::point_add::restore_op_trace_context(old_context); + } + } + + for i in 1..n - 1 { + circ.cx(*b[i], *b[i + 1]); + } + if !skip_low_ctrl_sum { + let old_context = crate::point_add::set_op_trace_context( + 0x1a00_0000 | (((call_index as u32) & 0xffff) << 8), + ); + circ.ccx(*ctrl, *b[0], *a[0]); + crate::point_add::restore_op_trace_context(old_context); + } + for i in 1..n { + circ.cx(*b[i], *a[i]); + } + trace_schedule_fit( + "TRACE_TLM_HYB", + "HYB", + if skip_low_ctrl_sum { "skiplow" } else { "plain" }, + fit, + vents, + n, + entry_active, + timeline_start, + ops_start, + circ, + ); +} + +fn controlled_clean_add_threaded( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + cin: Option<&QubitId>, + cout: Option<&QubitId>, + vents: usize, +) { + let call_index = next_threaded_add_call_index(); + let ops_start = circ.current_ops_len(); + let s = a.len(); + if s == 0 { + if let (Some(ci), Some(co)) = (cin, cout) { + circ.ccx(*ctrl, *ci, *co); + } + return; + } + let n_inner = if cout.is_some() { s } else { s - 1 }; + let mut inner: Vec> = (0..n_inner).map(|_| Some(circ.alloc_qubit())).collect(); + let produces = |i: usize| cout.is_some() || i + 1 < s; + + for i in 0..s { + if !produces(i) { + continue; + } + let co = inner[i].as_ref().unwrap(); + let ci: Option<&QubitId> = if i == 0 { cin } else { inner[i - 1].as_ref() }; + if let Some(ci) = ci { + circ.cx(*ci, *a[i]); + circ.cx(*ci, *b[i]); + if !threaded_add_call_has_structurally_dead_forward(call_index, i, n_inner, s, vents) { + let old_context = crate::point_add::set_op_trace_context( + 0x0500_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*a[i], *b[i], *co); + crate::point_add::restore_op_trace_context(old_context); + } + circ.cx(*ci, *co); + } else { + if !threaded_add_call_has_structurally_dead_forward(call_index, i, n_inner, s, vents) { + let old_context = crate::point_add::set_op_trace_context( + 0x0500_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*a[i], *b[i], *co); + crate::point_add::restore_op_trace_context(old_context); + } + } + } + + if let Some(cout) = cout { + let old_context = crate::point_add::set_op_trace_context( + 0x0600_0000 | (((call_index as u32) & 0xffff) << 8) | ((s.saturating_sub(1)) as u32 & 0xff), + ); + if !threaded_add_call_has_structurally_dead_boundary(call_index) { + circ.ccx(*ctrl, *inner[s - 1].as_ref().unwrap(), *cout); + } + crate::point_add::restore_op_trace_context(old_context); + } + + for i in (0..s).rev() { + if !produces(i) { + let ci: Option<&QubitId> = if i == 0 { cin } else { inner[i - 1].as_ref() }; + if let Some(ci) = ci { + circ.cx(*ci, *b[i]); + } + if !threaded_add_call_has_structurally_dead_sum(call_index, i, s, s, vents) { + let old_context = crate::point_add::set_op_trace_context( + 0x0700_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*ctrl, *b[i], *a[i]); + crate::point_add::restore_op_trace_context(old_context); + } + if let Some(ci) = ci { + circ.cx(*ci, *b[i]); + } + continue; + } + let co = inner[i].take().unwrap(); + let ci: Option<&QubitId> = if i == 0 { cin } else { inner[i - 1].as_ref() }; + if let Some(ci) = ci { + circ.cx(*ci, co); + } + if i < vents { + let bit = circ.alloc_bit(); + circ.hmr(co, bit); + circ.zero_and_free(co); + circ.cz_if_bit(*a[i], *b[i], bit); + } else { + circ.ccx(*a[i], *b[i], co); + circ.zero_and_free(co); + } + if let Some(ci) = ci { + circ.cx(*ci, *a[i]); + } + if !threaded_add_call_has_structurally_dead_sum(call_index, i, s, s, vents) { + let old_context = crate::point_add::set_op_trace_context( + 0x0700_0000 | (((call_index as u32) & 0xffff) << 8) | (i as u32 & 0xff), + ); + circ.ccx(*ctrl, *b[i], *a[i]); + crate::point_add::restore_op_trace_context(old_context); + } + if let Some(ci) = ci { + circ.cx(*ci, *b[i]); + } + } + if std::env::var_os("TRACE_TLM_GIDNEY_THREAD").is_some() { + eprintln!( + "TLM_GIDNEY_THREAD call={} phase={} width={} cin={} cout={} vents={} ops_start={} ops_end={}", + call_index, + circ.phase, + s, + usize::from(cin.is_some()), + usize::from(cout.is_some()), + vents, + ops_start, + circ.current_ops_len(), + ); + } +} + +fn deref(s: &[&QubitId]) -> Vec { + s.iter().map(|q| **q).collect() +} + +fn controlled_erase_carry_gated_impl( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + cin: Option<&QubitId>, + carry: QubitId, +) { + let call_index = next_erase_gated_call_index(); + let bit = circ.alloc_bit(); + circ.hmr(carry, bit); + circ.push_condition(bit); + let (av, bv) = (deref(a), deref(b)); + let ctrl = *ctrl; + let cin = match cin { + Some(cin) => { + + circ.loan_zero_qubit(carry); + *cin + } + None => carry, + }; + compare_geq_cin_middle(circ, &av, &bv, &cin, |c, ta, tb, c_prev| { + + c.z(ctrl); + let old_context = crate::point_add::set_op_trace_context( + 0x0900_0000 | (((call_index as u32) & 0xffff) << 8), + ); + if !gidney_erase_ccz_has_exact_dead_call(call_index) { + c.ccz(ctrl, *ta, *tb); + } + crate::point_add::restore_op_trace_context(old_context); + c.cz(ctrl, *c_prev); + }); + circ.pop_condition(); + if cin == carry { + circ.zero_and_free(carry); + } +} + +fn controlled_erase_carry_gated( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + cin: &QubitId, + carry: QubitId, +) { + controlled_erase_carry_gated_impl(circ, ctrl, a, b, Some(cin), carry); +} + +fn controlled_erase_carry_gated_zero_cin( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + carry: QubitId, +) { + controlled_erase_carry_gated_impl(circ, ctrl, a, b, None, carry); +} + +fn controlled_erase_carry_gated_capped( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + cin: &QubitId, + carry: QubitId, + cap: usize, +) { + let call_index = next_erase_gated_capped_call_index(); + let s = a.len(); + if s <= cap { + controlled_erase_carry_gated(circ, ctrl, a, b, cin, carry); + return; + } + let lo = s - cap; + let bit = circ.alloc_bit(); + circ.hmr(carry, bit); + circ.push_condition(bit); + let (av, bv) = (deref(&a[lo..]), deref(&b[lo..])); + let ctrl = *ctrl; + compare_geq_cin_middle(circ, &av, &bv, &carry, |c, ta, tb, c_prev| { + c.z(ctrl); + let old_context = crate::point_add::set_op_trace_context( + 0x0a00_0000 | (((call_index as u32) & 0xffff) << 8), + ); + if !gidney_erase_capped_ccz_has_exact_dead_call(call_index) { + c.ccz(ctrl, *ta, *tb); + } + crate::point_add::restore_op_trace_context(old_context); + c.cz(ctrl, *c_prev); + }); + circ.pop_condition(); + circ.zero_and_free(carry); +} + +fn controlled_erase_carry_gated_capped_zero_cin( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + carry: QubitId, + cap: usize, +) { + if a.len() <= cap { + controlled_erase_carry_gated_zero_cin(circ, ctrl, a, b, carry); + } else { + + controlled_erase_carry_gated_capped(circ, ctrl, a, b, &carry, carry, cap); + } +} + +fn controlled_vented_chunk_add(circ: &mut B, ctrl: &QubitId, a_chunk: &[&QubitId], b_chunk: &[&QubitId], cin: &QubitId, cout: &QubitId) { + let one = circ.alloc_qubit(); + circ.x(one); + let zero = circ.alloc_qubit(); + let mut aext: Vec<&QubitId> = Vec::with_capacity(a_chunk.len() + 2); + aext.push(&one); + aext.extend_from_slice(a_chunk); + aext.push(cout); + let mut bext: Vec<&QubitId> = Vec::with_capacity(b_chunk.len() + 2); + bext.push(cin); + bext.extend_from_slice(b_chunk); + bext.push(&zero); + + controlled_hybrid_add_refs_skiplow(circ, ctrl, &aext, &bext); + circ.x(one); + circ.zero_and_free(one); + circ.zero_and_free(zero); +} + +fn varchunk_schedule(n: usize, k: usize) -> Vec { + const RESERVE: usize = 4; + let mut sizes = Vec::new(); + let (mut covered, mut held) = (0usize, 0usize); + while covered < n { + let room = k.saturating_sub(held + RESERVE); + if room == 0 { + return Vec::new(); + } + let s = room.min(n - covered); + sizes.push(s); + covered += s; + held += 1; + } + sizes +} + +fn varchunk_cost(n: usize, k: usize, cap: usize) -> usize { + let sizes = varchunk_schedule(n, k); + if sizes.is_empty() { + return usize::MAX; + } + let erase: usize = sizes.iter().map(|&s| s.min(cap) / 2).sum(); + n + erase +} + +pub(crate) struct AdaptiveLayout { + pub(crate) c: usize, + pub(crate) chunked_len: usize, + pub(crate) plain_len: usize, +} +pub(crate) const ADAPTIVE_RES: usize = 5; + +fn adaptive_chunk_size(n: usize) -> usize { + std::env::var("TLM_ADAPTIVE_CHUNK") + .ok() + .and_then(|v| v.parse::().ok()) + .filter(|&v| v > 0) + .unwrap_or_else(|| (n as f64).sqrt() as usize) + .clamp(1, n) +} + +pub(crate) fn adaptive_layout(n: usize, k: usize) -> AdaptiveLayout { + let c = ((n as f64).sqrt() as usize).clamp(1, n); + adaptive_layout_for_chunk(n, k, c) +} + +fn adaptive_layout_for_chunk(n: usize, k: usize, c: usize) -> AdaptiveLayout { + let mut plain = 0usize; + while plain < n { + let l = n - (plain + 1); + let nch = l.div_ceil(c); + if nch + (plain + 1) <= k { + plain += 1; + } else { + break; + } + } + AdaptiveLayout { c, chunked_len: n - plain, plain_len: plain } +} + +fn searched_cout_layout(n: usize, k: usize) -> Option { + if std::env::var_os("TLM_COUT_LAYOUT_SEARCH").is_none() { + return None; + } + let mut margin = std::env::var("TLM_COUT_LAYOUT_MARGIN") + .ok() + .and_then(|v| v.parse::().ok()) + .unwrap_or(1); + if margin == 0 + && std::env::var("TLM_COUT_LAYOUT_FORCE_M1_KS") + .ok() + .map(|s| { + s.split(',') + .filter_map(|part| part.trim().parse::().ok()) + .any(|force_k| force_k == k) + }) + .unwrap_or(false) + { + margin = 1; + } + let mut best: Option<(usize, AdaptiveLayout)> = None; + for c in 1..=n { + for plain_len in 0..=n { + let chunked_len = n - plain_len; + let nchunks = chunked_len.div_ceil(c); + if nchunks + plain_len + margin > k { + continue; + } + if nchunks + c.min(chunked_len.max(1)) + margin > k { + continue; + } + let cost = 2 * n + chunked_len + nchunks + 1; + let layout = AdaptiveLayout { c, chunked_len, plain_len }; + match best { + Some((best_cost, _)) if best_cost <= cost => {} + _ => best = Some((cost, layout)), + } + } + } + best.map(|(_, layout)| layout) +} + +fn emit_cout_layout( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + cout: &QubitId, + layout: AdaptiveLayout, +) { + let n = a.len(); + let l = layout.chunked_len; + let mut bounds: Vec<(usize, usize)> = Vec::new(); + let mut lo = 0; + while lo < l { + let hi = (lo + layout.c).min(l); + bounds.push((lo, hi)); + lo = hi; + } + let mut carries: Vec = Vec::with_capacity(bounds.len()); + for (j, &(lo, hi)) in bounds.iter().enumerate() { + let cy = circ.alloc_qubit(); + let cin: Option<&QubitId> = if j == 0 { None } else { Some(&carries[j - 1]) }; + controlled_clean_add_threaded(circ, ctrl, &a[lo..hi], &b[lo..hi], cin, Some(&cy), hi - lo); + carries.push(cy); + } + controlled_clean_add_threaded(circ, ctrl, &a[l..n], &b[l..n], carries.last(), Some(cout), layout.plain_len); + for j in (0..bounds.len()).rev() { + let (lo, hi) = bounds[j]; + let carry = carries.pop().expect("carry present"); + if j == 0 { + controlled_erase_carry_gated_zero_cin(circ, ctrl, &a[lo..hi], &b[lo..hi], carry); + } else { + controlled_erase_carry_gated(circ, ctrl, &a[lo..hi], &b[lo..hi], &carries[j - 1], carry); + } + } +} + +fn searched_gcd_adaptive_layout(n: usize, k: usize) -> Option { + if std::env::var_os("TLM_GCD_ADAPTIVE_LAYOUT_SEARCH").is_none() { + return None; + } + let margin = std::env::var("TLM_GCD_ADAPTIVE_LAYOUT_MARGIN") + .ok() + .and_then(|v| v.parse::().ok()) + .unwrap_or(1); + let mut best: Option<(usize, AdaptiveLayout)> = None; + for c in 1..=n { + for plain_len in 0..=n { + let chunked_len = n - plain_len; + let nchunks = chunked_len.div_ceil(c); + if nchunks + plain_len + margin > k { + continue; + } + if nchunks + c.min(chunked_len.max(1)) + margin > k { + continue; + } + let cost = 2 * n + chunked_len + nchunks - 1; + let layout = AdaptiveLayout { c, chunked_len, plain_len }; + match best { + Some((best_cost, _)) if best_cost <= cost => {} + _ => best = Some((cost, layout)), + } + } + } + best.map(|(_, layout)| layout) +} + +fn emit_adaptive_layout_no_cout( + circ: &mut B, + ctrl: &QubitId, + a: &[&QubitId], + b: &[&QubitId], + layout: AdaptiveLayout, +) { + let n = a.len(); + let l = layout.chunked_len; + let mut bounds: Vec<(usize, usize)> = Vec::new(); + let mut lo = 0; + while lo < l { + let hi = (lo + layout.c).min(l); + bounds.push((lo, hi)); + lo = hi; + } + let cin0 = circ.alloc_qubit(); + let mut carries: Vec = Vec::with_capacity(bounds.len()); + for (j, &(lo, hi)) in bounds.iter().enumerate() { + let cout = circ.alloc_qubit(); + let cin: &QubitId = if j == 0 { &cin0 } else { &carries[j - 1] }; + controlled_clean_add_threaded(circ, ctrl, &a[lo..hi], &b[lo..hi], Some(cin), Some(&cout), hi - lo); + carries.push(cout); + } + if layout.plain_len > 0 { + let cin: &QubitId = carries.last().unwrap_or(&cin0); + controlled_clean_add_threaded(circ, ctrl, &a[l..n], &b[l..n], Some(cin), None, layout.plain_len); + } + circ.zero_and_free(cin0); + for j in (0..bounds.len()).rev() { + let (lo, hi) = bounds[j]; + let carry = carries.pop().expect("carry present"); + if j == 0 { + controlled_erase_carry_gated_zero_cin(circ, ctrl, &a[lo..hi], &b[lo..hi], carry); + } else { + controlled_erase_carry_gated(circ, ctrl, &a[lo..hi], &b[lo..hi], &carries[j - 1], carry); + } + } +} + +fn adaptive_add_cost_tof(n: usize, k: usize, controlled: bool) -> u64 { + if n == 0 { + return 0; + } + let base = if controlled { 3 * n } else { 2 * n }; + let s2 = 2 * (n as f64).sqrt() as usize; + let saved = if k >= n { + n + } else if k < s2 { + (k * k) / 8 + } else { + n / 2 + (k - s2) / 2 + }; + (base.saturating_sub(saved)) as u64 +} + +fn controlled_chunked_then_cuccaro(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], cout: Option<&QubitId>, k: usize) { + let n = a.len(); + if n == 0 { + return; + } + let cin0 = circ.alloc_qubit(); + let mut bounds: Vec<(usize, usize)> = Vec::new(); + let (mut lo, mut i) = (0usize, 0usize); + while lo < n && k > i + 2 { + let cc = (k - 2 - i).min(n - lo); + bounds.push((lo, lo + cc)); + lo += cc; + i += 1; + } + let chunked_len = lo; + let mut carries: Vec = Vec::with_capacity(bounds.len()); + for (j, &(clo, chi)) in bounds.iter().enumerate() { + let cy = circ.alloc_qubit(); + let cin: &QubitId = if j == 0 { &cin0 } else { &carries[j - 1] }; + controlled_clean_add_threaded(circ, ctrl, &a[clo..chi], &b[clo..chi], Some(cin), Some(&cy), chi - clo); + carries.push(cy); + } + if chunked_len < n { + let cin: &QubitId = carries.last().unwrap_or(&cin0); + + let at = deref(&a[chunked_len..n]); + let bt = deref(&b[chunked_len..n]); + super::arith::cuccaro_carry(circ, Some(ctrl), &bt, &at, Some(cin), cout); + } else if let Some(co) = cout { + circ.cx(*carries.last().unwrap_or(&cin0), *co); + } + circ.zero_and_free(cin0); + for j in (0..bounds.len()).rev() { + let (clo, chi) = bounds[j]; + let carry = carries.pop().expect("carry present"); + if j == 0 { + controlled_erase_carry_gated_zero_cin(circ, ctrl, &a[clo..chi], &b[clo..chi], carry); + } else { + controlled_erase_carry_gated(circ, ctrl, &a[clo..chi], &b[clo..chi], &carries[j - 1], carry); + } + } +} + +fn controlled_hybrid_add_adaptive_refs(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], k: usize) { + let n = a.len(); + assert_eq!(b.len(), n, "controlled adaptive add: a,b width mismatch"); + if n == 0 { + return; + } + if let Some(layout) = searched_gcd_adaptive_layout(n, k) { + emit_adaptive_layout_no_cout(circ, ctrl, a, b, layout); + return; + } + let c = ((n as f64).sqrt() as usize).clamp(1, n); + if n <= 4 || k.saturating_add(2 * c) >= n { + controlled_hybrid_add_refs(circ, ctrl, a, b); + return; + } + let tight = k < n.div_ceil(c) + c + ADAPTIVE_RES; + let cov = (k.saturating_sub(2).saturating_mul(k.saturating_sub(1)) / 2).min(n); + if tight && cov < n { + if cov > 2 * k { + controlled_chunked_then_cuccaro(circ, ctrl, a, b, None, k); + } else { + controlled_hybrid_add_refs(circ, ctrl, a, b); + } + return; + } + let cin0 = circ.alloc_qubit(); + let mut bounds: Vec<(usize, usize)> = Vec::new(); + let (l, plain_len) = if tight { + let (mut lo, mut i) = (0usize, 0usize); + while lo < n && k > i + 2 { + let cc = (k - 2 - i).min(n - lo); + bounds.push((lo, lo + cc)); + lo += cc; + i += 1; + } + (n, 0) + } else { + let lay = adaptive_layout(n, k); + let mut lo = 0; + while lo < lay.chunked_len { + let hi = (lo + lay.c).min(lay.chunked_len); + bounds.push((lo, hi)); + lo = hi; + } + (lay.chunked_len, lay.plain_len) + }; + let mut carries: Vec = Vec::with_capacity(bounds.len()); + for (j, &(lo, hi)) in bounds.iter().enumerate() { + let cout = circ.alloc_qubit(); + let cin: &QubitId = if j == 0 { &cin0 } else { &carries[j - 1] }; + controlled_clean_add_threaded(circ, ctrl, &a[lo..hi], &b[lo..hi], Some(cin), Some(&cout), hi - lo); + carries.push(cout); + } + if plain_len > 0 { + let cin: &QubitId = carries.last().unwrap_or(&cin0); + controlled_clean_add_threaded(circ, ctrl, &a[l..n], &b[l..n], Some(cin), None, plain_len); + } + circ.zero_and_free(cin0); + for j in (0..bounds.len()).rev() { + let (lo, hi) = bounds[j]; + let carry = carries.pop().expect("carry present"); + if j == 0 { + controlled_erase_carry_gated_zero_cin(circ, ctrl, &a[lo..hi], &b[lo..hi], carry); + } else { + controlled_erase_carry_gated(circ, ctrl, &a[lo..hi], &b[lo..hi], &carries[j - 1], carry); + } + } +} + +fn controlled_hybrid_add_varchunk_gated_refs(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], k: usize, cap: usize) { + let n = a.len(); + assert_eq!(b.len(), n, "varchunk add: a,b width mismatch"); + if n == 0 { + return; + } + let sizes = varchunk_schedule(n, k); + assert!(!sizes.is_empty(), "varchunk infeasible at k={k} for n={n}"); + let direct = std::env::var("TLM_DIRECT_VARCHUNK") + .ok() + .as_deref() + == Some("1"); + let cin0 = (!direct).then(|| circ.alloc_qubit()); + let mut carries: Vec = Vec::with_capacity(sizes.len()); + let mut bounds: Vec<(usize, usize)> = Vec::with_capacity(sizes.len()); + let mut lo = 0usize; + for (j, &s) in sizes.iter().enumerate() { + let hi = lo + s; + let cout = circ.alloc_qubit(); + if direct { + + let fit = super::next_hyb_v_fit(); + let timeline_start = circ.active_timeline.len(); + let entry_active = circ.active_qubits; + let ops_start = circ.current_ops_len(); + let cin = (j != 0).then(|| &carries[j - 1]); + controlled_clean_add_threaded( + circ, + ctrl, + &a[lo..hi], + &b[lo..hi], + cin, + Some(&cout), + hi - lo, + ); + trace_schedule_fit( + "TRACE_TLM_HYB", + "HYB", + "direct-varchunk", + fit, + hi - lo, + hi - lo, + entry_active, + timeline_start, + ops_start, + circ, + ); + } else { + let cin: &QubitId = if j == 0 { + cin0.as_ref().expect("legacy cin0") + } else { + &carries[j - 1] + }; + controlled_vented_chunk_add(circ, ctrl, &a[lo..hi], &b[lo..hi], cin, &cout); + } + carries.push(cout); + bounds.push((lo, hi)); + lo = hi; + } + if let Some(cin0) = cin0 { + circ.zero_and_free(cin0); + } + for j in (0..sizes.len()).rev() { + let (lo, hi) = bounds[j]; + let carry = carries.pop().expect("carry present"); + if j == 0 { + controlled_erase_carry_gated_capped_zero_cin(circ, ctrl, &a[lo..hi], &b[lo..hi], carry, cap); + } else { + controlled_erase_carry_gated_capped(circ, ctrl, &a[lo..hi], &b[lo..hi], &carries[j - 1], carry, cap); + } + } +} + +fn controlled_hybrid_add_knob_capped_refs(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], k: usize, cap: usize) { + let n = a.len(); + if cap < n + && !varchunk_schedule(n, k).is_empty() + && (varchunk_cost(n, k, cap) as u64 + n as u64) < adaptive_add_cost_tof(n, k, true) + { + controlled_hybrid_add_varchunk_gated_refs(circ, ctrl, a, b, k, cap); + } else { + controlled_hybrid_add_adaptive_refs(circ, ctrl, a, b, k); + } +} + +pub fn controlled_hybrid_add_capped_branch(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], k: usize, cap: usize, branch: u8) { + let n = a.len(); + let k = super::target_qubit_headroom(circ).map_or(k, |headroom| k.min(headroom)); + if std::env::var("TLM_GCD_RESELECT_LAYOUT") + .ok() + .as_deref() + == Some("1") + { + controlled_hybrid_add_knob_capped_refs(circ, ctrl, a, b, k, cap); + return; + } + if branch == 1 && n > 0 && !varchunk_schedule(n, k).is_empty() { + controlled_hybrid_add_varchunk_gated_refs(circ, ctrl, a, b, k, cap); + } else if branch == 0 { + + controlled_hybrid_add_refs(circ, ctrl, a, b); + } else if branch == 255 { + + controlled_hybrid_add_knob_capped_refs(circ, ctrl, a, b, k, cap); + } else { + controlled_hybrid_add_adaptive_refs(circ, ctrl, a, b, k); + } +} + +pub fn controlled_hybrid_add_cout_refs(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], cout: &QubitId, k: usize) { + let fit = super::take_cout_fit(k); + let timeline_start = circ.active_timeline.len(); + let entry_active = circ.active_qubits; + let ops_start = circ.current_ops_len(); + let effective = super::target_qubit_headroom(circ) + .map_or(fit.selected, |headroom| fit.selected.min(headroom)); + controlled_hybrid_add_cout_refs_impl(circ, ctrl, a, b, cout, effective); + trace_schedule_fit( + "TRACE_TLM_COUT", + "COUT", + "dispatch", + fit, + effective, + a.len(), + entry_active, + timeline_start, + ops_start, + circ, + ); +} + +fn controlled_hybrid_add_cout_refs_impl(circ: &mut B, ctrl: &QubitId, a: &[&QubitId], b: &[&QubitId], cout: &QubitId, k: usize) { + let n = a.len(); + assert_eq!(b.len(), n, "controlled cout add: a,b width mismatch"); + assert!(n >= 1, "controlled cout add: empty operands"); + if let Some(layout) = searched_cout_layout(n, k) { + emit_cout_layout(circ, ctrl, a, b, cout, layout); + return; + } + let c = adaptive_chunk_size(n); + let lay = adaptive_layout_for_chunk(n, k, c); + let tight = k < n.div_ceil(c) + c + ADAPTIVE_RES; + let cov = (k.saturating_sub(2).saturating_mul(k.saturating_sub(1)) / 2).min(n); + if n > 4 && k.saturating_add(2 * c) < n && tight && cov > 2 * k { + controlled_chunked_then_cuccaro(circ, ctrl, a, b, Some(cout), k); + return; + } + if n <= 4 || k < n.div_ceil(c) + c + ADAPTIVE_RES || k.saturating_add(2 * c) >= n || lay.plain_len == 0 { + let zpad = circ.alloc_qubit(); + let mut aref: Vec<&QubitId> = a.to_vec(); + aref.push(cout); + let mut bref: Vec<&QubitId> = b.to_vec(); + bref.push(&zpad); + controlled_hybrid_add_refs(circ, ctrl, &aref, &bref); + circ.zero_and_free(zpad); + return; + } + let l = lay.chunked_len; + let mut bounds: Vec<(usize, usize)> = Vec::new(); + let mut lo = 0; + while lo < l { + let hi = (lo + lay.c).min(l); + bounds.push((lo, hi)); + lo = hi; + } + let mut carries: Vec = Vec::with_capacity(bounds.len()); + for (j, &(lo, hi)) in bounds.iter().enumerate() { + let cy = circ.alloc_qubit(); + let cin: Option<&QubitId> = if j == 0 { None } else { Some(&carries[j - 1]) }; + controlled_clean_add_threaded(circ, ctrl, &a[lo..hi], &b[lo..hi], cin, Some(&cy), hi - lo); + carries.push(cy); + } + controlled_clean_add_threaded(circ, ctrl, &a[l..n], &b[l..n], carries.last(), Some(cout), lay.plain_len); + for j in (0..bounds.len()).rev() { + let (lo, hi) = bounds[j]; + let carry = carries.pop().expect("carry present"); + if j == 0 { + controlled_erase_carry_gated_zero_cin(circ, ctrl, &a[lo..hi], &b[lo..hi], carry); + } else { + controlled_erase_carry_gated(circ, ctrl, &a[lo..hi], &b[lo..hi], &carries[j - 1], carry); + } + } +} diff --git a/src/point_add/trailmix_ludicrous/mod.rs.orig b/src/point_add/trailmix_ludicrous/mod.rs.orig new file mode 100644 index 00000000..b75b9b76 --- /dev/null +++ b/src/point_add/trailmix_ludicrous/mod.rs.orig @@ -0,0 +1,522 @@ + +mod arith; +mod codec; +mod comparator; +pub(crate) mod constprop; +pub mod ec_add; +mod fused; +mod gcd; +mod gidney; +mod mcx; +pub mod schedule; +mod square; + +pub use schedule::PAD; + +use super::B; +use crate::circuit::{BitId, Op, OperationType, QubitId}; +use std::cell::{Cell, RefCell}; +use std::collections::HashMap; + +const N: usize = 256; + +pub(super) trait BExt { + fn loan_zero_qubit(&mut self, q: QubitId); + fn reclaim_zero_qubit(&mut self, q: QubitId); + fn z(&mut self, q: QubitId); + #[track_caller] + fn ccz(&mut self, a: QubitId, b: QubitId, c: QubitId); + fn neg(&mut self); + #[track_caller] + fn cswap(&mut self, ctrl: QubitId, a: QubitId, b: QubitId); + fn x_if_bit(&mut self, q: QubitId, c: BitId); + fn z_if_bit(&mut self, q: QubitId, c: BitId); + fn cz_if_bit(&mut self, a: QubitId, b: QubitId, c: BitId); + + fn zero_and_free(&mut self, q: QubitId); +} + +impl BExt for B { + fn loan_zero_qubit(&mut self, q: QubitId) { + self.free_qubits + .push(q.0.try_into().expect("qubit id fits in u32")); + if self.active_qubits > 0 { + self.active_qubits -= 1; + } + self.record_active_timeline(); + self.b0_on_free(q.0); + } + + fn reclaim_zero_qubit(&mut self, q: QubitId) { + self.reacquire(q); + } + + fn z(&mut self, q: QubitId) { + let mut op = Op::empty(); + op.kind = OperationType::Z; + op.q_target = q; + self.push_op(op); + } + #[track_caller] + fn ccz(&mut self, a: QubitId, b: QubitId, c: QubitId) { + let mut op = Op::empty(); + op.kind = OperationType::CCZ; + op.q_control2 = a; + op.q_control1 = b; + op.q_target = c; + self.push_op(op); + } + fn neg(&mut self) { + let mut op = Op::empty(); + op.kind = OperationType::Neg; + self.push_op(op); + } + #[track_caller] + fn cswap(&mut self, ctrl: QubitId, a: QubitId, b: QubitId) { + self.cx(b, a); + self.ccx(ctrl, a, b); + self.cx(b, a); + } + fn x_if_bit(&mut self, q: QubitId, c: BitId) { + self.push_condition(c); + self.x(q); + self.pop_condition(); + } + fn z_if_bit(&mut self, q: QubitId, c: BitId) { + self.push_condition(c); + self.z(q); + self.pop_condition(); + } + fn cz_if_bit(&mut self, a: QubitId, b: QubitId, c: BitId) { + self.push_condition(c); + self.cz(a, b); + self.pop_condition(); + } + fn zero_and_free(&mut self, q: QubitId) { + self.free(q); + } +} + +#[derive(Default)] +struct Sched { + gcd_k: (Vec, usize), + cout_k: (Vec, usize), + fold: (Vec, usize), + gcd_branch: (Vec, usize), + cmp_k: (Vec, usize), + ffg: (Vec, usize), + hyb_v: (Vec, usize), + sqrow_k: (Vec, usize), +} + +thread_local!(static SCHED: RefCell = RefCell::new(Sched::default())); + +#[derive(Clone, Copy, Debug)] +pub(super) struct ScheduleFit { + pub call_index: usize, + pub base: usize, + pub selected: usize, +} + +thread_local! { + static HYB_CALL_INDEX: Cell = const { Cell::new(0) }; + static COUT_CALL_INDEX: Cell = const { Cell::new(0) }; + static PENDING_COUT_FIT: Cell> = const { Cell::new(None) }; +} + +fn step(slot: &mut (Vec, usize), exhausted: T) -> T { + let v = slot.0.get(slot.1).copied().unwrap_or(exhausted); + slot.1 += 1; + v +} + +fn env_delta(name: &str) -> usize { + std::env::var(name) + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0) +} + +fn sub_delta(v: usize, name: &str) -> usize { + if v == usize::MAX { + v + } else { + v.saturating_sub(env_delta(name)) + } +} + +fn env_call_value(name: &str, call_index: usize) -> Option { + std::env::var(name).ok().and_then(|value| { + value + .split(',') + .filter_map(|item| item.trim().split_once(':')) + .find_map(|(call, value)| { + (call.parse::().ok()? == call_index) + .then(|| value.parse::().ok()) + .flatten() + }) + }) +} + +fn next_call_index(counter: &'static std::thread::LocalKey>) -> usize { + counter.with(|index| { + let current = index.get(); + index.set(current + 1); + current + }) +} + +fn fit_schedule_value( + base: usize, + call_index: usize, + global_delta: &str, + call_deltas: &str, + call_overrides: &str, +) -> ScheduleFit { + let selected = env_call_value(call_overrides, call_index).unwrap_or_else(|| { + let globally_adjusted = sub_delta(base, global_delta); + match env_call_value(call_deltas, call_index) { + Some(delta) if globally_adjusted != usize::MAX => { + globally_adjusted.saturating_sub(delta) + } + _ => globally_adjusted, + } + }); + ScheduleFit { + call_index, + base, + selected, + } +} + +fn reset_schedule_fit_call_indices() { + HYB_CALL_INDEX.with(|index| index.set(0)); + COUT_CALL_INDEX.with(|index| index.set(0)); + PENDING_COUT_FIT.with(|pending| pending.set(None)); +} + +/// Master kill-switch for every census-derived gate-drop certificate. +/// +/// The `*_has_structurally_dead_*` predicates are keyed by `(call_index, bit)` and were +/// certified against ONE circuit geometry. Widening a comparator, changing a reserve, or +/// shifting a call count repoints those keys onto gates that are live in the new geometry, +/// which silently deletes a required Toffoli. They cannot be disabled via their own env +/// vars: each tests `var_os(..).is_none()` and `set_default_env` only sets when absent, +/// so `NAME=0` leaves them active. +pub(crate) fn drops_off_family(fam: &str) -> bool { + if std::env::var_os("TLM_DROPS_OFF").is_some() { + return true; + } + match std::env::var("TLM_DROPS_OFF_ONLY") { + Ok(list) => list.split(',').any(|t| t.trim() == fam), + Err(_) => false, + } +} + +fn target_qubit_headroom(circ: &B) -> Option { + std::env::var("TLM_TARGET_Q") + .ok() + .and_then(|value| value.parse::().ok()) + .map(|target| target.saturating_sub(circ.active_qubits as usize)) +} + +fn next_gcd_k() -> usize { SCHED.with(|s| step(&mut s.borrow_mut().gcd_k, usize::MAX)) } +fn next_cout_k() -> usize { + let base = SCHED.with(|s| step(&mut s.borrow_mut().cout_k, usize::MAX)); + let fit = fit_schedule_value( + base, + next_call_index(&COUT_CALL_INDEX), + "TLM_COUT_K_DELTA", + "TLM_COUT_K_CALL_DELTAS", + "TLM_COUT_K_CALL_OVERRIDES", + ); + PENDING_COUT_FIT.with(|pending| { + debug_assert!(pending.get().is_none(), "previous COUT schedule call was not consumed"); + pending.set(Some(fit)); + }); + fit.selected +} +fn next_fold() -> i32 { + SCHED.with(|s| { + let v = step(&mut s.borrow_mut().fold, i32::MAX); + let d = env_delta("TLM_FOLD_DELTA") as i32; + if v == i32::MAX || v < 0 || d == 0 { + v + } else { + v.saturating_sub(d) + } + }) +} +fn next_gcd_branch() -> u8 { SCHED.with(|s| step(&mut s.borrow_mut().gcd_branch, 255)) } +fn next_cmp_k() -> usize { SCHED.with(|s| step(&mut s.borrow_mut().cmp_k, usize::MAX)) } +fn next_ffg() -> usize { SCHED.with(|s| sub_delta(step(&mut s.borrow_mut().ffg, usize::MAX), "TLM_FFG_DELTA")) } +fn next_hyb_v_fit() -> ScheduleFit { + let base = SCHED.with(|s| step(&mut s.borrow_mut().hyb_v, usize::MAX)); + fit_schedule_value( + base, + next_call_index(&HYB_CALL_INDEX), + "TLM_HYB_V_DELTA", + "TLM_HYB_V_CALL_DELTAS", + "TLM_HYB_V_CALL_OVERRIDES", + ) +} + +fn take_cout_fit(selected: usize) -> ScheduleFit { + PENDING_COUT_FIT.with(|pending| { + pending.take().unwrap_or_else(|| { + fit_schedule_value( + selected, + next_call_index(&COUT_CALL_INDEX), + "TLM_COUT_K_DELTA", + "TLM_COUT_K_CALL_DELTAS", + "TLM_COUT_K_CALL_OVERRIDES", + ) + }) + }) +} +fn next_sqrow_k() -> usize { SCHED.with(|s| step(&mut s.borrow_mut().sqrow_k, usize::MAX)) } + +fn load_schedule() { + reset_schedule_fit_call_indices(); + arith::reset_ffg_call_index(); + comparator::reset_compare_call_index(); + fused::reset_fold_call_index(); + gcd::reset_gcd_trace_call_index(); + gidney::reset_gidney_call_index(); + SCHED.with(|s| { + let mut s = s.borrow_mut(); + *s = Sched::default(); + let extra_fold_vents = std::env::var("LUD_EXTRA_FOLD_VENTS") + .ok() + .and_then(|v| v.parse::().ok()) + .unwrap_or(0); + let extra_fold_min_g = std::env::var("LUD_EXTRA_FOLD_MIN_G") + .ok() + .and_then(|v| v.parse::().ok()) + .unwrap_or(0); + let extra_fold_max_g = std::env::var("LUD_EXTRA_FOLD_MAX_G") + .ok() + .and_then(|v| v.parse::().ok()) + .unwrap_or(usize::MAX); + let fold_g = |v: &[usize]| -> Vec { + v.iter() + .map(|&x| { + if extra_fold_vents > 0 + && x >= extra_fold_min_g + && x <= extra_fold_max_g + { + x.saturating_add(extra_fold_vents).min(53) + } else { + x + } + }) + .collect() + }; + s.gcd_k.0 = schedule::GCD_SUB_K.to_vec(); + s.gcd_branch.0 = schedule::GCD_BRANCH.to_vec(); + s.cout_k.0 = schedule::APPLY_COUT_K.to_vec(); + s.fold.0 = schedule::FOLD_SCHED.to_vec(); + s.cmp_k.0 = schedule::CMP_K.to_vec(); + s.ffg.0 = fold_g(schedule::FFG_G); + s.hyb_v.0 = schedule::HYB_V.to_vec(); + s.sqrow_k.0 = schedule::SQ_ROW_K.to_vec(); + }); +} + +fn route_swaps(src: &[QubitId], dst: &[QubitId]) -> Vec<(QubitId, QubitId)> { + let mut loc: Vec = src.to_vec(); + let mut at: HashMap = HashMap::new(); + for (i, q) in src.iter().enumerate() { + at.insert(q.0, i); + } + let mut swaps = Vec::new(); + for i in 0..dst.len() { + let target = dst[i]; + let cur = loc[i]; + if cur == target { + continue; + } + swaps.push((target, cur)); + let displaced = at.get(&target.0).copied(); + at.insert(target.0, i); + loc[i] = target; + match displaced { + Some(b) => { + at.insert(cur.0, b); + loc[b] = cur; + } + None => { + at.remove(&cur.0); + } + } + } + swaps +} + +fn install_q1153_submission_defaults() { + for (name, value) in [ + ("TLM_TARGET_Q", "1152"), + ("TLM_FOLD_CHUNK_ZERO_CIN", "1"), + ("TLM_FFG_MAX_G", "47"), + ("TLM_APPLY_ADD_SKIP_LASTK", "1"), + ("DIALOG_TAIL_NONCE", "2430844"), + ] { + + if (name == "DIALOG_TAIL_NONCE" + || name == "TLM_TARGET_Q" + || name == "TLM_APPLY_ADD_SKIP_LASTK" + || name == "TLM_FFG_MAX_G" + || name == "TLM_FOLD_CHUNK_ZERO_CIN") + && std::env::var_os(name).is_some() + { + continue; + } else { + std::env::set_var(name, value); + } + } +} + +pub fn build_trailmix_ludicrous_ops() -> Vec { + install_q1153_submission_defaults(); + let mut circ = B::new(); + load_schedule(); + + let x2 = circ.alloc_qubits(N); + let y2 = circ.alloc_qubits(N); + let ox = circ.alloc_bits(N); + let oy = circ.alloc_bits(N); + + let x2_init = x2.clone(); + let mut x2m = x2; + ec_add::ec_add(&mut circ, &mut x2m, &y2, &ox, &oy); + + circ.declare_qubit_register(&x2_init); + circ.declare_qubit_register(&y2); + circ.declare_bit_register(&ox); + circ.declare_bit_register(&oy); + + for (a, b) in route_swaps(&x2m, &x2_init) { + circ.swap(a, b); + } + + if let Some(nonce) = std::env::var("DIALOG_TAIL_NONCE") + .ok() + .and_then(|s| s.parse::().ok()) + { + for i in 0..48u32 { + let q = if (nonce >> i) & 1 == 1 { x2_init[1] } else { x2_init[0] }; + circ.x(q); + circ.x(q); + } + } + + circ.b0_finalize(); + + if std::env::var("TRACE_TLM_PROFILE").is_ok() { + circ.close_phase_active_region(); + eprintln!( + "TLM_PROFILE peak_qubits={} peak_phase={} peak_ops_idx={} emitted_ops={}", + circ.peak_qubits, + circ.peak_phase, + circ.peak_ops_idx, + circ.current_ops_len(), + ); + let mut phases: Vec<_> = circ.phase_active_max.iter().collect(); + phases.sort_by(|left, right| right.1.cmp(left.1).then_with(|| left.0.cmp(right.0))); + for (phase, active) in phases.into_iter().take(24) { + eprintln!("TLM_PHASE active_max={active} phase={phase}"); + } + } + + if std::env::var("TLM_TIMELINE_DUMP").is_ok() { + let trans = &circ.phase_transitions; + let phase_at = |op: usize| -> &'static str { + + let mut lo = 0usize; + let mut hi = trans.len(); + let mut ans = "init"; + while lo < hi { + let mid = (lo + hi) / 2; + if trans[mid].0 <= op { + ans = trans[mid].1; + lo = mid + 1; + } else { + hi = mid; + } + } + ans + }; + let minq: u32 = std::env::var("TLM_TIMELINE_MIN") + .ok() + .and_then(|s| s.parse().ok()) + .unwrap_or(1136); + + use std::collections::BTreeMap; + let mut census: BTreeMap<&'static str, (u32, usize, usize)> = BTreeMap::new(); + for &(op, active) in &circ.active_timeline { + if active >= minq { + let ph = phase_at(op); + let e = census.entry(ph).or_insert((0, 0, op)); + if active > e.0 { + e.0 = active; + e.2 = op; + } + e.1 += 1; + } + } + let mut rows: Vec<_> = census.into_iter().collect(); + rows.sort_by(|a, b| b.1 .0.cmp(&a.1 .0).then_with(|| a.0.cmp(b.0))); + eprintln!("TLM_TIMELINE census (samples with active>={minq}), phase: max_active n_samples example_op"); + for (ph, (mx, n, ex)) in &rows { + eprintln!("TL_CENSUS phase={ph} max_active={mx} n_samples={n} example_op={ex}"); + } + + if let (Ok(lo), Ok(hi)) = ( + std::env::var("TLM_WIN_LO").map(|s| s.parse::().unwrap_or(0)), + std::env::var("TLM_WIN_HI").map(|s| s.parse::().unwrap_or(usize::MAX)), + ) { + eprintln!("TLM_TIMELINE raw window [{lo},{hi}] : op active phase"); + for &(op, active) in &circ.active_timeline { + if op >= lo && op <= hi { + eprintln!("TL_RAW op={op} active={active} phase={}", phase_at(op)); + } + } + } + } + + if std::env::var("TRACE_TLM_CCX").is_ok() { + use std::collections::BTreeMap; + let mut bounds = circ.phase_transitions.clone(); + bounds.sort_by_key(|(i, _)| *i); + let total = circ.ops.len(); + let mut by: BTreeMap<&'static str, usize> = BTreeMap::new(); + for w in 0..bounds.len() { + let s = bounds[w].0.min(total); + let e = if w + 1 < bounds.len() { bounds[w + 1].0.min(total) } else { total }; + let c = circ.ops[s..e].iter().filter(|op| op.kind as u32 == 13).count(); + *by.entry(bounds[w].1).or_insert(0) += c; + } + let grand: usize = by.values().sum(); + let mut v: Vec<_> = by.into_iter().collect(); + v.sort_by(|a, b| b.1.cmp(&a.1)); + let mut cum = 0usize; + for (phase, c) in v.iter().take(30) { + cum += *c; + eprintln!( + "TLM_CCX phase={phase} ccx={c} pct={:.2} cum={:.2}", + 100.0 * *c as f64 / grand as f64, + 100.0 * cum as f64 / grand as f64 + ); + } + eprintln!("TLM_CCX_TOTAL {grand} phases={}", v.len()); + } + + let ops = std::mem::take(&mut circ.ops); + + if std::env::var("CONSTPROP_DISABLE").ok().as_deref() == Some("1") { + return ops; + } + let mut input_qubits = x2_init.clone(); + input_qubits.extend_from_slice(&y2); + constprop::run(ops, &input_qubits) +} diff --git a/src/point_add/trailmix_ludicrous/square.rs b/src/point_add/trailmix_ludicrous/square.rs index 8e22da1f..b10e2e26 100644 --- a/src/point_add/trailmix_ludicrous/square.rs +++ b/src/point_add/trailmix_ludicrous/square.rs @@ -1,738 +1,511 @@ - -use super::arith::{self, cuccaro_carry, mod_add_lowpeak, mod_add_shifted_low, mod_sub, mod_sub_shifted_low, F_SECP256K1, LSBS}; -use super::{B, BExt}; -use crate::circuit::{QubitId}; - -const N: usize = 256; - -fn clear_and(circ: &mut B, t: &QubitId, a: &QubitId, b: &QubitId) { - let bit = circ.alloc_bit(); - circ.hmr(*t, bit); - circ.cz_if_bit(*a, *b, bit); -} - -const F_NAF_TERMS: [(usize, ShiftOp); 5] = [ - (0, ShiftOp::Sub), - (4, ShiftOp::Sub), - (6, ShiftOp::Add), - (10, ShiftOp::Sub), - (32, ShiftOp::Sub), -]; - -#[derive(Copy, Clone)] -enum ShiftOp { - Add, - Sub, -} - -fn add_f_window_shifted(circ: &mut B, ctrl: &QubitId, reg: &[QubitId], offset: usize) { - let f_bytes = F_SECP256K1.to_le_bytes(); - arith::add_f_window_pub(circ, ctrl, ®[offset..], LSBS, &f_bytes, None); -} - -fn sub_f_window_shifted(circ: &mut B, ctrl: &QubitId, reg: &[QubitId], offset: usize) { - for q in ®[offset..offset + LSBS] { - circ.x(*q); - } - add_f_window_shifted(circ, ctrl, reg, offset); - for q in ®[offset..offset + LSBS] { - circ.x(*q); - } -} - -fn apply_shifted_hi_term( - circ: &mut B, - hi: &[QubitId], - output_reg: &[QubitId], - shift: usize, - op: ShiftOp, -) { - let n = hi.len(); - assert_eq!(n, 256, "hi must be 256 bits"); - assert!(shift < n, "shift must be less than 256"); - - match op { - ShiftOp::Add => mod_add_shifted_low(circ, &hi[..n - shift], output_reg, shift), - ShiftOp::Sub => { - if shift == 0 { - mod_sub(circ, hi, output_reg); - } else { - mod_sub_shifted_low(circ, &hi[..n - shift], output_reg, shift); - } - } - } - - for t in 0..shift { - let ctrl = &hi[n - shift + t]; - match op { - ShiftOp::Add => add_f_window_shifted(circ, ctrl, output_reg, t), - ShiftOp::Sub => sub_f_window_shifted(circ, ctrl, output_reg, t), - } - } -} - -fn add_into(circ: &mut B, slice: &[QubitId], row: &[QubitId]) { - let m = row.len(); - assert_eq!(slice.len(), m + 1, "slice must be one wider than row"); - if m == 0 { - return; - } - - let pad = circ.alloc_qubit(); - let mut b: Vec = row.to_vec(); - b.push(pad); - let k = super::next_sqrow_k(); - super::arith::hybrid_add_adaptive(circ, slice, &b, k); - circ.zero_and_free(pad); -} - -fn symmetric_square_into_prod(circ: &mut B, x: &[QubitId], prod: &mut Vec) { - let n = x.len(); - if std::env::var("TLM_SQ_TRACE").ok().as_deref() == Some("1") { - eprintln!("SQ_CALL fwd n={n} crosses={}", n * (n - 1) / 2); - } - assert!(prod.is_empty(), "prod is grown lazily; pass an empty Vec"); - - if square_addsub_enabled() && !(square_addsub_skip_c() && n == 129) { - for _ in 0..(2 * n) { - prod.push(circ.alloc_qubit()); - } - if square_addsub_local_diag() { - crate::point_add::arith::square_addsub_local(circ, x, prod); - } else { - crate::point_add::arith::square_addsub_vented(circ, x, prod); - } - return; - } - for i in 0..n { - - let num_cross = n.saturating_sub(i + 1); - let width = if i == n - 1 { 1 } else { n - i + 1 }; - - let hi = (2 * i + width + 1).min(2 * n); - while prod.len() < hi { - prod.push(circ.alloc_qubit()); - } - let row: Vec = (0..width).map(|_| circ.alloc_qubit()).collect(); - circ.cx(x[i], row[0]); - - let skip_and = square_addsub_probe(); - if !skip_and { - for k in 0..num_cross { - circ.ccx(x[i], x[i + 1 + k], row[k + 2]); - } - } - add_into(circ, &prod[2 * i..hi], &row); - - if !skip_and { - for k in 0..num_cross { - clear_and(circ, &row[k + 2], &x[i], &x[i + 1 + k]); - } - } - circ.cx(x[i], row[0]); - for q in row { - circ.zero_and_free(q); - } - } - debug_assert_eq!(prod.len(), 2 * n, "prod must reach 2n after the build"); -} - -fn square_addsub_enabled() -> bool { - true -} - -fn square_addsub_local_diag() -> bool { - std::env::var("TLM_SQUARE_ADDSUB_LOCAL").ok().as_deref() == Some("1") -} - -fn square_addsub_skip_c() -> bool { - std::env::var("TLM_SQUARE_ADDSUB_SKIP_C").ok().as_deref() == Some("1") -} - -fn square_addsub_probe() -> bool { - std::env::var("TLM_SQUARE_ADDSUB_PROBE").ok().as_deref() == Some("1") -} - -fn symmetric_square_into_prod_reverse(circ: &mut B, x: &[QubitId], mut prod: Vec) { - let n = x.len(); - if std::env::var("TLM_SQ_TRACE").ok().as_deref() == Some("1") { - eprintln!("SQ_CALL rev n={n} crosses={}", n * (n - 1) / 2); - } - assert_eq!(prod.len(), 2 * n); - - if square_addsub_enabled() && !(square_addsub_skip_c() && n == 129) { - if square_addsub_local_diag() { - crate::point_add::arith::square_addsub_local_inverse(circ, x, &prod); - } else { - crate::point_add::arith::square_addsub_vented_inverse(circ, x, &prod); - } - for q in prod { - circ.zero_and_free(q); - } - return; - } - for i in (0..n).rev() { - let num_cross = n.saturating_sub(i + 1); - let width = if i == n - 1 { 1 } else { n - i + 1 }; - let row: Vec = (0..width).map(|_| circ.alloc_qubit()).collect(); - circ.cx(x[i], row[0]); - let skip_and = square_addsub_probe(); - if !skip_and { - for k in 0..num_cross { - circ.ccx(x[i], x[i + 1 + k], row[k + 2]); - } - } - let hi = (2 * i + width + 1).min(prod.len()); - - for q in &prod[2 * i..hi] { - circ.x(*q); - } - add_into(circ, &prod[2 * i..hi], &row); - for q in &prod[2 * i..hi] { - circ.x(*q); - } - - if !skip_and { - for k in 0..num_cross { - clear_and(circ, &row[k + 2], &x[i], &x[i + 1 + k]); - } - } - circ.cx(x[i], row[0]); - for q in row { - circ.zero_and_free(q); - } - - let keep = (n + i + 1).min(2 * n); - while prod.len() > keep { - circ.zero_and_free(prod.pop().unwrap()); - } - } - for q in prod { - circ.zero_and_free(q); - } -} - -fn alloc_zeroes(circ: &mut B, n: usize) -> Vec { - (0..n).map(|_| circ.alloc_qubit()).collect() -} - -fn free_zeroes(circ: &mut B, qs: Vec) { - for q in qs { - circ.zero_and_free(q); - } -} - -fn flipped(op: ShiftOp) -> ShiftOp { - match op { - ShiftOp::Add => ShiftOp::Sub, - ShiftOp::Sub => ShiftOp::Add, - } -} - -fn apply_full_width(circ: &mut B, operand: &[QubitId], output_reg: &[QubitId], op: ShiftOp) { - assert_eq!(operand.len(), N, "full-width modular operand must be 256 bits"); - match op { - ShiftOp::Add => mod_add_lowpeak(circ, operand, output_reg), - ShiftOp::Sub => mod_sub(circ, operand, output_reg), - } -} - -fn apply_unshifted_value(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp) { - assert!(value.len() <= N, "unshifted value must fit in 256 bits"); - let pads = alloc_zeroes(circ, N - value.len()); - let mut operand = Vec::with_capacity(N); - operand.extend_from_slice(value); - operand.extend_from_slice(&pads); - apply_full_width(circ, &operand, output_reg, op); - free_zeroes(circ, pads); -} - -fn apply_shifted_value_direct( - circ: &mut B, - value: &[QubitId], - output_reg: &[QubitId], - shift: usize, - op: ShiftOp, -) { - assert!(value.len() + shift <= N, "shifted value must fit in 256 bits"); - let low_pads = alloc_zeroes(circ, shift); - let high_pads = alloc_zeroes(circ, N - shift - value.len()); - let mut operand = Vec::with_capacity(N); - operand.extend_from_slice(&low_pads); - operand.extend_from_slice(value); - operand.extend_from_slice(&high_pads); - apply_full_width(circ, &operand, output_reg, op); - free_zeroes(circ, high_pads); - free_zeroes(circ, low_pads); -} - -fn apply_shifted_value_low( - circ: &mut B, - value: &[QubitId], - output_reg: &[QubitId], - shift: usize, - op: ShiftOp, -) { - assert!(value.len() + shift <= N, "shifted value must fit in 256 bits"); - if shift == 0 { - apply_unshifted_value(circ, value, output_reg, op); - return; - } - - let high_pads = alloc_zeroes(circ, N - shift - value.len()); - let mut operand = Vec::with_capacity(N - shift); - operand.extend_from_slice(value); - operand.extend_from_slice(&high_pads); - match op { - ShiftOp::Add => mod_add_shifted_low(circ, &operand, output_reg, shift), - ShiftOp::Sub => mod_sub_shifted_low(circ, &operand, output_reg, shift), - } - free_zeroes(circ, high_pads); -} - -fn env_tag_enabled(var: &str, tag: &str) -> bool { - std::env::var(var) - .ok() - .map(|tags| tags.split(',').any(|t| t.trim() == tag)) - .unwrap_or(false) -} - -fn apply_f_times_value_tagged(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp, tag: &str) { - assert!(value.len() <= N, "f-fold value must fit in 256 bits"); - if value.len() + 32 <= N - && (std::env::var("TLM_SQUARE_F_RAMP10_DIRECT32").ok().as_deref() == Some("1") - || env_tag_enabled("TLM_SQUARE_F_RAMP10_DIRECT32_TAGS", tag)) - { - let pads = alloc_zeroes(circ, N + 1 - value.len()); - let mut ext = Vec::with_capacity(N + 1); - ext.extend_from_slice(value); - ext.extend_from_slice(&pads); - - let mut shifted = 0usize; - for &(shift, sub_f_op) in &F_NAF_TERMS { - let term_op = match op { - ShiftOp::Sub => sub_f_op, - ShiftOp::Add => flipped(sub_f_op), - }; - if shift == 32 { - continue; - } - while shifted < shift { - arith::mod_double(circ, &ext); - shifted += 1; - } - apply_full_width(circ, &ext[..N], output_reg, term_op); - } - while shifted > 0 { - arith::mod_double_reverse(circ, &ext); - shifted -= 1; - } - free_zeroes(circ, pads); - - let term_op = match op { - ShiftOp::Sub => ShiftOp::Sub, - ShiftOp::Add => ShiftOp::Add, - }; - apply_shifted_value_direct(circ, value, output_reg, 32, term_op); - return; - } - - if env_tag_enabled("TLM_SQUARE_F_DIRECT_TAGS", tag) && value.len() + 32 <= N { - for &(shift, sub_f_op) in &F_NAF_TERMS { - let term_op = match op { - ShiftOp::Sub => sub_f_op, - ShiftOp::Add => flipped(sub_f_op), - }; - apply_shifted_value_direct(circ, value, output_reg, shift, term_op); - } - return; - } - - if std::env::var("TLM_SQUARE_F_SHIFTED_LOW").ok().as_deref() == Some("1") - && value.len() + 32 <= N - { - for &(shift, sub_f_op) in &F_NAF_TERMS { - let term_op = match op { - ShiftOp::Sub => sub_f_op, - ShiftOp::Add => flipped(sub_f_op), - }; - apply_shifted_value_low(circ, value, output_reg, shift, term_op); - } - return; - } - - if std::env::var("TLM_SQUARE_F_DIRECT_SHIFT").ok().as_deref() == Some("1") - && value.len() + 32 <= N - { - for &(shift, sub_f_op) in &F_NAF_TERMS { - let term_op = match op { - ShiftOp::Sub => sub_f_op, - ShiftOp::Add => flipped(sub_f_op), - }; - apply_shifted_value_direct(circ, value, output_reg, shift, term_op); - } - return; - } - - if value.len() == N { - for &(shift, sub_f_op) in &F_NAF_TERMS { - let term_op = match op { - ShiftOp::Sub => sub_f_op, - ShiftOp::Add => flipped(sub_f_op), - }; - apply_shifted_hi_term(circ, value, output_reg, shift, term_op); - } - return; - } - - let pads = alloc_zeroes(circ, N + 1 - value.len()); - let mut ext = Vec::with_capacity(N + 1); - ext.extend_from_slice(value); - ext.extend_from_slice(&pads); - - let mut shifted = 0usize; - for &(shift, sub_f_op) in &F_NAF_TERMS { - while shifted < shift { - arith::mod_double(circ, &ext); - shifted += 1; - } - let term_op = match op { - ShiftOp::Sub => sub_f_op, - ShiftOp::Add => flipped(sub_f_op), - }; - apply_full_width(circ, &ext[..N], output_reg, term_op); - } - while shifted > 0 { - arith::mod_double_reverse(circ, &ext); - shifted -= 1; - } - - free_zeroes(circ, pads); -} - -fn apply_f_times_value(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp) { - apply_f_times_value_tagged(circ, value, output_reg, op, "generic"); -} - -fn apply_shifted_128_tagged(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp, tag: &str) { - assert!(value.len() <= N + 2, "128-shifted half product must be at most 258 bits"); - let low_len = value.len().min(128); - if env_tag_enabled("TLM_SQUARE_SHIFTED128_LOW_TAGS", tag) { - // Preserve the full-width allocator/free-pool schedule for the downstream - // identity-keyed strip. Removing these unused pads makes 4,486 keys stale. - let low_pads = alloc_zeroes(circ, 128); - let high_pads = alloc_zeroes(circ, 128 - low_len); - let mut operand = Vec::with_capacity(128); - operand.extend_from_slice(&value[..low_len]); - operand.extend_from_slice(&high_pads); - match op { - ShiftOp::Add => mod_add_shifted_low(circ, &operand, output_reg, 128), - ShiftOp::Sub => mod_sub_shifted_low(circ, &operand, output_reg, 128), - } - free_zeroes(circ, high_pads); - free_zeroes(circ, low_pads); - } else { - let low_pads = alloc_zeroes(circ, 128); - let high_pads = alloc_zeroes(circ, 128 - low_len); - let mut operand = Vec::with_capacity(N); - operand.extend_from_slice(&low_pads); - operand.extend_from_slice(&value[..low_len]); - operand.extend_from_slice(&high_pads); - apply_full_width(circ, &operand, output_reg, op); - free_zeroes(circ, high_pads); - free_zeroes(circ, low_pads); - } - - if value.len() > 128 { - if matches!(tag, "a" | "b" | "c") { - arith::with_shifted_square_ffg_prefix_scope(|| { - apply_f_times_value_tagged(circ, &value[128..], output_reg, op, tag); - }); - } else { - apply_f_times_value_tagged(circ, &value[128..], output_reg, op, tag); - } - } -} - -fn build_sum_hi_lo(circ: &mut B, lambda: &[QubitId]) -> Vec { - let sum = alloc_zeroes(circ, 129); - for i in 0..128 { - circ.cx(lambda[i], sum[i]); - } - cuccaro_carry(circ, None, &lambda[128..N], &sum[..128], None, Some(&sum[128])); - sum -} - -fn unbuild_sum_hi_lo(circ: &mut B, lambda: &[QubitId], sum: Vec) { - let hi_pad = circ.alloc_qubit(); - let mut hi_ext = Vec::with_capacity(129); - hi_ext.extend_from_slice(&lambda[128..N]); - hi_ext.push(hi_pad); - - for q in &sum { - circ.x(*q); - } - cuccaro_carry(circ, None, &hi_ext, &sum, None, None); - for q in &sum { - circ.x(*q); - } - - circ.zero_and_free(hi_pad); - for i in 0..128 { - circ.cx(lambda[i], sum[i]); - } - free_zeroes(circ, sum); -} - -pub fn mod_square_sub_pm_secp256k1_symmetric(circ: &mut B, lambda: &[QubitId], output_reg: &[QubitId]) { - let n = N; - assert_eq!(lambda.len(), n, "lambda must be n=256 bits (< q)"); - assert_eq!(output_reg.len(), n, "output must be n=256 bits (< q)"); - - circ.set_phase("square_sum_hi_lo"); - let sum = build_sum_hi_lo(circ, lambda); - - circ.set_phase("square_c_sum_build"); - let mut c_prod: Vec = Vec::with_capacity(2 * sum.len()); - symmetric_square_into_prod(circ, &sum, &mut c_prod); - circ.set_phase("square_c_sum_apply_shifted_128_sub"); - apply_shifted_128_tagged(circ, &c_prod, output_reg, ShiftOp::Sub, "c"); - circ.set_phase("square_c_sum_unbuild"); - symmetric_square_into_prod_reverse(circ, &sum, c_prod); - - circ.set_phase("square_a_lo_build"); - let lo = &lambda[..128]; - let mut a_prod: Vec = Vec::with_capacity(2 * lo.len()); - symmetric_square_into_prod(circ, lo, &mut a_prod); - circ.set_phase("square_a_lo_apply_unshifted_sub"); - apply_unshifted_value(circ, &a_prod, output_reg, ShiftOp::Sub); - circ.set_phase("square_a_lo_apply_shifted_128_add"); - apply_shifted_128_tagged(circ, &a_prod, output_reg, ShiftOp::Add, "a"); - circ.set_phase("square_a_lo_unbuild"); - symmetric_square_into_prod_reverse(circ, lo, a_prod); - - circ.set_phase("square_b_hi_build"); - let hi = &lambda[128..N]; - let mut b_prod: Vec = Vec::with_capacity(2 * hi.len()); - symmetric_square_into_prod(circ, hi, &mut b_prod); - circ.set_phase("square_b_hi_apply_shifted_128_add"); - apply_shifted_128_tagged(circ, &b_prod, output_reg, ShiftOp::Add, "b"); - circ.set_phase("square_b_hi_apply_f_times_sub"); - apply_f_times_value(circ, &b_prod, output_reg, ShiftOp::Sub); - circ.set_phase("square_b_hi_unbuild"); - symmetric_square_into_prod_reverse(circ, hi, b_prod); - - circ.set_phase("square_sum_hi_lo_unbuild"); - unbuild_sum_hi_lo(circ, lambda, sum); -} - -pub fn shifted128_low_miter() -> Result { - use crate::point_add::SECP256K1_P; - use crate::sim::Simulator; - use alloy_primitives::U256; - use sha3::{ - digest::{ExtendableOutput, Update, XofReader}, - Shake256, - }; - - struct HelperCircuit { - ops: Vec, - source: Vec, - accumulator: Vec, - qubits: usize, - bits: usize, - } - - fn build_helper(shifted: bool, op: ShiftOp) -> HelperCircuit { - let mut circ = B::new(); - let source = circ.alloc_qubits(128); - let accumulator = circ.alloc_qubits(N); - if shifted { - match op { - ShiftOp::Add => mod_add_shifted_low(&mut circ, &source, &accumulator, 128), - ShiftOp::Sub => mod_sub_shifted_low(&mut circ, &source, &accumulator, 128), - } - } else { - let low_pads = alloc_zeroes(&mut circ, 128); - let mut operand = Vec::with_capacity(N); - operand.extend_from_slice(&low_pads); - operand.extend_from_slice(&source); - apply_full_width(&mut circ, &operand, &accumulator, op); - free_zeroes(&mut circ, low_pads); - } - HelperCircuit { - ops: circ.ops, - source, - accumulator, - qubits: circ.next_qubit as usize, - bits: circ.next_bit as usize, - } - } - - fn subtract_mod(lhs: U256, rhs: U256) -> U256 { - if lhs >= rhs { - lhs - rhs - } else { - SECP256K1_P - (rhs - lhs) - } - } - - fn run_helper( - circuit: &HelperCircuit, - source_values: &[U256; 64], - accumulator_values: &[U256; 64], - seed_label: &[u8], - ) -> Result<[U256; 64], String> { - let mut seed = Shake256::default(); - seed.update(b"shifted128-low-helper-miter"); - seed.update(seed_label); - let mut xof = seed.finalize_xof(); - let mut sim = Simulator::new(circuit.qubits, circuit.bits, &mut xof); - sim.clear_for_shot(); - for shot in 0..64 { - for bit in 0..128 { - if source_values[shot].bit(bit) { - *sim.qubit_mut(circuit.source[bit]) |= 1u64 << shot; - } - } - for bit in 0..N { - if accumulator_values[shot].bit(bit) { - *sim.qubit_mut(circuit.accumulator[bit]) |= 1u64 << shot; - } - } - } - sim.apply_iter(circuit.ops.iter()); - if sim.phase != 0 { - return Err(format!("phase garbage 0x{:016x}", sim.phase)); - } - - let mut outputs = [U256::ZERO; 64]; - for shot in 0..64 { - let mut source_after = U256::ZERO; - let mut output = U256::ZERO; - for bit in 0..128 { - if (sim.qubit(circuit.source[bit]) >> shot) & 1 == 1 { - source_after |= U256::from(1u64) << bit; - } - } - for bit in 0..N { - if (sim.qubit(circuit.accumulator[bit]) >> shot) & 1 == 1 { - output |= U256::from(1u64) << bit; - } - } - if source_after != source_values[shot] { - return Err(format!( - "shot {shot}: source changed from {:#x} to {source_after:#x}", - source_values[shot] - )); - } - outputs[shot] = output; - } - - for q in 0..circuit.qubits as u64 { - if circuit.source.iter().any(|source| source.0 == q) - || circuit.accumulator.iter().any(|accumulator| accumulator.0 == q) - { - continue; - } - let value = sim.qubit(QubitId(q)); - if value != 0 { - return Err(format!("ancilla qubit {q} not clean: 0x{value:016x}")); - } - } - Ok(outputs) - } - - struct RestoreSquareMiterEnv { - no_vent_reduce: Option, - vent_shifted: Option, - } - - impl Drop for RestoreSquareMiterEnv { - fn drop(&mut self) { - unsafe { - match self.no_vent_reduce.take() { - Some(value) => std::env::set_var("TLM_SQUARE_NO_VENT_REDUCE", value), - None => std::env::remove_var("TLM_SQUARE_NO_VENT_REDUCE"), - } - match self.vent_shifted.take() { - Some(value) => std::env::set_var("TLM_SQUARE_VENT_SHIFTED", value), - None => std::env::remove_var("TLM_SQUARE_VENT_SHIFTED"), - } - } - } - } - - let _restore_env = RestoreSquareMiterEnv { - no_vent_reduce: std::env::var_os("TLM_SQUARE_NO_VENT_REDUCE"), - vent_shifted: std::env::var_os("TLM_SQUARE_VENT_SHIFTED"), - }; - unsafe { - std::env::set_var("TLM_SQUARE_NO_VENT_REDUCE", "1"); - std::env::remove_var("TLM_SQUARE_VENT_SHIFTED"); - } - let mut checked = 0usize; - for (op_index, op) in [ShiftOp::Add, ShiftOp::Sub].into_iter().enumerate() { - let full = build_helper(false, op); - let shifted = build_helper(true, op); - for batch in 0u64..32 { - let mut input_seed = Shake256::default(); - input_seed.update(b"shifted128-low-inputs"); - input_seed.update(&(op_index as u64).to_le_bytes()); - input_seed.update(&batch.to_le_bytes()); - let mut inputs = input_seed.finalize_xof(); - let mut source_values = [U256::ZERO; 64]; - let mut accumulator_values = [U256::ZERO; 64]; - let mut bytes = [0u8; 32]; - for shot in 0..64 { - inputs.read(&mut bytes); - bytes[16..].fill(0); - source_values[shot] = U256::from_le_bytes(bytes); - inputs.read(&mut bytes); - accumulator_values[shot] = U256::from_le_bytes(bytes) % SECP256K1_P; - } - - let mut label = [0u8; 24]; - label[..8].copy_from_slice(&(op_index as u64).to_le_bytes()); - label[8..16].copy_from_slice(&batch.to_le_bytes()); - let full_outputs = run_helper(&full, &source_values, &accumulator_values, &label) - .map_err(|error| { - format!("full helper op={op_index} batch={batch}: {error}") - })?; - let shifted_outputs = - run_helper(&shifted, &source_values, &accumulator_values, &label).map_err( - |error| format!("shifted helper op={op_index} batch={batch}: {error}"), - )?; - - for shot in 0..64 { - let operand = source_values[shot] << 128; - let expected = match op { - ShiftOp::Add => { - accumulator_values[shot].add_mod(operand, SECP256K1_P) - } - ShiftOp::Sub => subtract_mod(accumulator_values[shot], operand), - }; - if full_outputs[shot] != expected { - return Err(format!( - "full helper op={op_index} batch={batch} shot={shot}: got {:#x}, expected {expected:#x}", - full_outputs[shot] - )); - } - if shifted_outputs[shot] != expected { - return Err(format!( - "shifted helper op={op_index} batch={batch} shot={shot}: got {:#x}, expected {expected:#x}", - shifted_outputs[shot] - )); - } - if shifted_outputs[shot] != full_outputs[shot] { - return Err(format!( - "miter op={op_index} batch={batch} shot={shot}: full={:#x}, shifted={:#x}", - full_outputs[shot], shifted_outputs[shot] - )); - } - checked += 1; - } - } - } - Ok(checked) -} + +use super::arith::{self, cuccaro_carry, mod_add_lowpeak, mod_add_shifted_low, mod_sub, mod_sub_shifted_low, F_SECP256K1, LSBS}; +use super::{B, BExt}; +use crate::circuit::{QubitId}; + +const N: usize = 256; + +fn clear_and(circ: &mut B, t: &QubitId, a: &QubitId, b: &QubitId) { + let bit = circ.alloc_bit(); + circ.hmr(*t, bit); + circ.cz_if_bit(*a, *b, bit); +} + +const F_NAF_TERMS: [(usize, ShiftOp); 5] = [ + (0, ShiftOp::Sub), + (4, ShiftOp::Sub), + (6, ShiftOp::Add), + (10, ShiftOp::Sub), + (32, ShiftOp::Sub), +]; + +#[derive(Copy, Clone)] +enum ShiftOp { + Add, + Sub, +} + +fn add_f_window_shifted(circ: &mut B, ctrl: &QubitId, reg: &[QubitId], offset: usize) { + let f_bytes = F_SECP256K1.to_le_bytes(); + arith::add_f_window_pub(circ, ctrl, ®[offset..], LSBS, &f_bytes, None); +} + +fn sub_f_window_shifted(circ: &mut B, ctrl: &QubitId, reg: &[QubitId], offset: usize) { + for q in ®[offset..offset + LSBS] { + circ.x(*q); + } + add_f_window_shifted(circ, ctrl, reg, offset); + for q in ®[offset..offset + LSBS] { + circ.x(*q); + } +} + +fn apply_shifted_hi_term( + circ: &mut B, + hi: &[QubitId], + output_reg: &[QubitId], + shift: usize, + op: ShiftOp, +) { + let n = hi.len(); + assert_eq!(n, 256, "hi must be 256 bits"); + assert!(shift < n, "shift must be less than 256"); + + match op { + ShiftOp::Add => mod_add_shifted_low(circ, &hi[..n - shift], output_reg, shift), + ShiftOp::Sub => { + if shift == 0 { + mod_sub(circ, hi, output_reg); + } else { + mod_sub_shifted_low(circ, &hi[..n - shift], output_reg, shift); + } + } + } + + for t in 0..shift { + let ctrl = &hi[n - shift + t]; + match op { + ShiftOp::Add => add_f_window_shifted(circ, ctrl, output_reg, t), + ShiftOp::Sub => sub_f_window_shifted(circ, ctrl, output_reg, t), + } + } +} + +fn add_into(circ: &mut B, slice: &[QubitId], row: &[QubitId]) { + let m = row.len(); + assert_eq!(slice.len(), m + 1, "slice must be one wider than row"); + if m == 0 { + return; + } + + let pad = circ.alloc_qubit(); + let mut b: Vec = row.to_vec(); + b.push(pad); + let k = super::next_sqrow_k(); + super::arith::hybrid_add_adaptive(circ, slice, &b, k); + circ.zero_and_free(pad); +} + +fn symmetric_square_into_prod(circ: &mut B, x: &[QubitId], prod: &mut Vec) { + let n = x.len(); + if std::env::var("TLM_SQ_TRACE").ok().as_deref() == Some("1") { + eprintln!("SQ_CALL fwd n={n} crosses={}", n * (n - 1) / 2); + } + assert!(prod.is_empty(), "prod is grown lazily; pass an empty Vec"); + + if square_addsub_enabled() && !(square_addsub_skip_c() && n == 129) { + for _ in 0..(2 * n) { + prod.push(circ.alloc_qubit()); + } + if square_addsub_local_diag() { + crate::point_add::arith::square_addsub_local(circ, x, prod); + } else { + crate::point_add::arith::square_addsub_vented(circ, x, prod); + } + return; + } + for i in 0..n { + + let num_cross = n.saturating_sub(i + 1); + let width = if i == n - 1 { 1 } else { n - i + 1 }; + + let hi = (2 * i + width + 1).min(2 * n); + while prod.len() < hi { + prod.push(circ.alloc_qubit()); + } + let row: Vec = (0..width).map(|_| circ.alloc_qubit()).collect(); + circ.cx(x[i], row[0]); + + let skip_and = square_addsub_probe(); + if !skip_and { + for k in 0..num_cross { + circ.ccx(x[i], x[i + 1 + k], row[k + 2]); + } + } + add_into(circ, &prod[2 * i..hi], &row); + + if !skip_and { + for k in 0..num_cross { + clear_and(circ, &row[k + 2], &x[i], &x[i + 1 + k]); + } + } + circ.cx(x[i], row[0]); + for q in row { + circ.zero_and_free(q); + } + } + debug_assert_eq!(prod.len(), 2 * n, "prod must reach 2n after the build"); +} + +fn square_addsub_enabled() -> bool { + true +} + +fn square_addsub_local_diag() -> bool { + std::env::var("TLM_SQUARE_ADDSUB_LOCAL").ok().as_deref() == Some("1") +} + +fn square_addsub_skip_c() -> bool { + std::env::var("TLM_SQUARE_ADDSUB_SKIP_C").ok().as_deref() == Some("1") +} + +fn square_addsub_probe() -> bool { + std::env::var("TLM_SQUARE_ADDSUB_PROBE").ok().as_deref() == Some("1") +} + +fn symmetric_square_into_prod_reverse(circ: &mut B, x: &[QubitId], mut prod: Vec) { + let n = x.len(); + if std::env::var("TLM_SQ_TRACE").ok().as_deref() == Some("1") { + eprintln!("SQ_CALL rev n={n} crosses={}", n * (n - 1) / 2); + } + assert_eq!(prod.len(), 2 * n); + + if square_addsub_enabled() && !(square_addsub_skip_c() && n == 129) { + if square_addsub_local_diag() { + crate::point_add::arith::square_addsub_local_inverse(circ, x, &prod); + } else { + crate::point_add::arith::square_addsub_vented_inverse(circ, x, &prod); + } + for q in prod { + circ.zero_and_free(q); + } + return; + } + for i in (0..n).rev() { + let num_cross = n.saturating_sub(i + 1); + let width = if i == n - 1 { 1 } else { n - i + 1 }; + let row: Vec = (0..width).map(|_| circ.alloc_qubit()).collect(); + circ.cx(x[i], row[0]); + let skip_and = square_addsub_probe(); + if !skip_and { + for k in 0..num_cross { + circ.ccx(x[i], x[i + 1 + k], row[k + 2]); + } + } + let hi = (2 * i + width + 1).min(prod.len()); + + for q in &prod[2 * i..hi] { + circ.x(*q); + } + add_into(circ, &prod[2 * i..hi], &row); + for q in &prod[2 * i..hi] { + circ.x(*q); + } + + if !skip_and { + for k in 0..num_cross { + clear_and(circ, &row[k + 2], &x[i], &x[i + 1 + k]); + } + } + circ.cx(x[i], row[0]); + for q in row { + circ.zero_and_free(q); + } + + let keep = (n + i + 1).min(2 * n); + while prod.len() > keep { + circ.zero_and_free(prod.pop().unwrap()); + } + } + for q in prod { + circ.zero_and_free(q); + } +} + +fn alloc_zeroes(circ: &mut B, n: usize) -> Vec { + (0..n).map(|_| circ.alloc_qubit()).collect() +} + +fn free_zeroes(circ: &mut B, qs: Vec) { + for q in qs { + circ.zero_and_free(q); + } +} + +fn flipped(op: ShiftOp) -> ShiftOp { + match op { + ShiftOp::Add => ShiftOp::Sub, + ShiftOp::Sub => ShiftOp::Add, + } +} + +fn apply_full_width(circ: &mut B, operand: &[QubitId], output_reg: &[QubitId], op: ShiftOp) { + assert_eq!(operand.len(), N, "full-width modular operand must be 256 bits"); + match op { + ShiftOp::Add => mod_add_lowpeak(circ, operand, output_reg), + ShiftOp::Sub => mod_sub(circ, operand, output_reg), + } +} + +fn apply_unshifted_value(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp) { + assert!(value.len() <= N, "unshifted value must fit in 256 bits"); + let pads = alloc_zeroes(circ, N - value.len()); + let mut operand = Vec::with_capacity(N); + operand.extend_from_slice(value); + operand.extend_from_slice(&pads); + apply_full_width(circ, &operand, output_reg, op); + free_zeroes(circ, pads); +} + +fn apply_shifted_value_direct( + circ: &mut B, + value: &[QubitId], + output_reg: &[QubitId], + shift: usize, + op: ShiftOp, +) { + assert!(value.len() + shift <= N, "shifted value must fit in 256 bits"); + let low_pads = alloc_zeroes(circ, shift); + let high_pads = alloc_zeroes(circ, N - shift - value.len()); + let mut operand = Vec::with_capacity(N); + operand.extend_from_slice(&low_pads); + operand.extend_from_slice(value); + operand.extend_from_slice(&high_pads); + apply_full_width(circ, &operand, output_reg, op); + free_zeroes(circ, high_pads); + free_zeroes(circ, low_pads); +} + +fn apply_shifted_value_low( + circ: &mut B, + value: &[QubitId], + output_reg: &[QubitId], + shift: usize, + op: ShiftOp, +) { + assert!(value.len() + shift <= N, "shifted value must fit in 256 bits"); + if shift == 0 { + apply_unshifted_value(circ, value, output_reg, op); + return; + } + + let high_pads = alloc_zeroes(circ, N - shift - value.len()); + let mut operand = Vec::with_capacity(N - shift); + operand.extend_from_slice(value); + operand.extend_from_slice(&high_pads); + match op { + ShiftOp::Add => mod_add_shifted_low(circ, &operand, output_reg, shift), + ShiftOp::Sub => mod_sub_shifted_low(circ, &operand, output_reg, shift), + } + free_zeroes(circ, high_pads); +} + +fn env_tag_enabled(var: &str, tag: &str) -> bool { + std::env::var(var) + .ok() + .map(|tags| tags.split(',').any(|t| t.trim() == tag)) + .unwrap_or(false) +} + +fn apply_f_times_value_tagged(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp, tag: &str) { + assert!(value.len() <= N, "f-fold value must fit in 256 bits"); + if value.len() + 32 <= N + && (std::env::var("TLM_SQUARE_F_RAMP10_DIRECT32").ok().as_deref() == Some("1") + || env_tag_enabled("TLM_SQUARE_F_RAMP10_DIRECT32_TAGS", tag)) + { + let pads = alloc_zeroes(circ, N + 1 - value.len()); + let mut ext = Vec::with_capacity(N + 1); + ext.extend_from_slice(value); + ext.extend_from_slice(&pads); + + let mut shifted = 0usize; + for &(shift, sub_f_op) in &F_NAF_TERMS { + let term_op = match op { + ShiftOp::Sub => sub_f_op, + ShiftOp::Add => flipped(sub_f_op), + }; + if shift == 32 { + continue; + } + while shifted < shift { + arith::mod_double(circ, &ext); + shifted += 1; + } + apply_full_width(circ, &ext[..N], output_reg, term_op); + } + while shifted > 0 { + arith::mod_double_reverse(circ, &ext); + shifted -= 1; + } + free_zeroes(circ, pads); + + let term_op = match op { + ShiftOp::Sub => ShiftOp::Sub, + ShiftOp::Add => ShiftOp::Add, + }; + apply_shifted_value_direct(circ, value, output_reg, 32, term_op); + return; + } + + if env_tag_enabled("TLM_SQUARE_F_DIRECT_TAGS", tag) && value.len() + 32 <= N { + for &(shift, sub_f_op) in &F_NAF_TERMS { + let term_op = match op { + ShiftOp::Sub => sub_f_op, + ShiftOp::Add => flipped(sub_f_op), + }; + apply_shifted_value_direct(circ, value, output_reg, shift, term_op); + } + return; + } + + if std::env::var("TLM_SQUARE_F_SHIFTED_LOW").ok().as_deref() == Some("1") + && value.len() + 32 <= N + { + for &(shift, sub_f_op) in &F_NAF_TERMS { + let term_op = match op { + ShiftOp::Sub => sub_f_op, + ShiftOp::Add => flipped(sub_f_op), + }; + apply_shifted_value_low(circ, value, output_reg, shift, term_op); + } + return; + } + + if std::env::var("TLM_SQUARE_F_DIRECT_SHIFT").ok().as_deref() == Some("1") + && value.len() + 32 <= N + { + for &(shift, sub_f_op) in &F_NAF_TERMS { + let term_op = match op { + ShiftOp::Sub => sub_f_op, + ShiftOp::Add => flipped(sub_f_op), + }; + apply_shifted_value_direct(circ, value, output_reg, shift, term_op); + } + return; + } + + if value.len() == N { + for &(shift, sub_f_op) in &F_NAF_TERMS { + let term_op = match op { + ShiftOp::Sub => sub_f_op, + ShiftOp::Add => flipped(sub_f_op), + }; + apply_shifted_hi_term(circ, value, output_reg, shift, term_op); + } + return; + } + + let pads = alloc_zeroes(circ, N + 1 - value.len()); + let mut ext = Vec::with_capacity(N + 1); + ext.extend_from_slice(value); + ext.extend_from_slice(&pads); + + let mut shifted = 0usize; + for &(shift, sub_f_op) in &F_NAF_TERMS { + while shifted < shift { + arith::mod_double(circ, &ext); + shifted += 1; + } + let term_op = match op { + ShiftOp::Sub => sub_f_op, + ShiftOp::Add => flipped(sub_f_op), + }; + apply_full_width(circ, &ext[..N], output_reg, term_op); + } + while shifted > 0 { + arith::mod_double_reverse(circ, &ext); + shifted -= 1; + } + + free_zeroes(circ, pads); +} + +fn apply_f_times_value(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp) { + apply_f_times_value_tagged(circ, value, output_reg, op, "generic"); +} + +fn apply_shifted_128_tagged(circ: &mut B, value: &[QubitId], output_reg: &[QubitId], op: ShiftOp, tag: &str) { + assert!(value.len() <= N + 2, "128-shifted half product must be at most 258 bits"); + let low_len = value.len().min(128); + let low_pads = alloc_zeroes(circ, 128); + let high_pads = alloc_zeroes(circ, 128 - low_len); + let mut operand = Vec::with_capacity(N); + operand.extend_from_slice(&low_pads); + operand.extend_from_slice(&value[..low_len]); + operand.extend_from_slice(&high_pads); + apply_full_width(circ, &operand, output_reg, op); + free_zeroes(circ, high_pads); + free_zeroes(circ, low_pads); + + if value.len() > 128 { + if matches!(tag, "a" | "b" | "c") { + arith::with_shifted_square_ffg_prefix_scope(|| { + apply_f_times_value_tagged(circ, &value[128..], output_reg, op, tag); + }); + } else { + apply_f_times_value_tagged(circ, &value[128..], output_reg, op, tag); + } + } +} + +fn build_sum_hi_lo(circ: &mut B, lambda: &[QubitId]) -> Vec { + let sum = alloc_zeroes(circ, 129); + for i in 0..128 { + circ.cx(lambda[i], sum[i]); + } + cuccaro_carry(circ, None, &lambda[128..N], &sum[..128], None, Some(&sum[128])); + sum +} + +fn unbuild_sum_hi_lo(circ: &mut B, lambda: &[QubitId], sum: Vec) { + let hi_pad = circ.alloc_qubit(); + let mut hi_ext = Vec::with_capacity(129); + hi_ext.extend_from_slice(&lambda[128..N]); + hi_ext.push(hi_pad); + + for q in &sum { + circ.x(*q); + } + cuccaro_carry(circ, None, &hi_ext, &sum, None, None); + for q in &sum { + circ.x(*q); + } + + circ.zero_and_free(hi_pad); + for i in 0..128 { + circ.cx(lambda[i], sum[i]); + } + free_zeroes(circ, sum); +} + +pub fn mod_square_sub_pm_secp256k1_symmetric(circ: &mut B, lambda: &[QubitId], output_reg: &[QubitId]) { + let n = N; + assert_eq!(lambda.len(), n, "lambda must be n=256 bits (< q)"); + assert_eq!(output_reg.len(), n, "output must be n=256 bits (< q)"); + + circ.set_phase("square_sum_hi_lo"); + let sum = build_sum_hi_lo(circ, lambda); + + circ.set_phase("square_c_sum_build"); + let mut c_prod: Vec = Vec::with_capacity(2 * sum.len()); + symmetric_square_into_prod(circ, &sum, &mut c_prod); + circ.set_phase("square_c_sum_apply_shifted_128_sub"); + apply_shifted_128_tagged(circ, &c_prod, output_reg, ShiftOp::Sub, "c"); + circ.set_phase("square_c_sum_unbuild"); + symmetric_square_into_prod_reverse(circ, &sum, c_prod); + + circ.set_phase("square_a_lo_build"); + let lo = &lambda[..128]; + let mut a_prod: Vec = Vec::with_capacity(2 * lo.len()); + symmetric_square_into_prod(circ, lo, &mut a_prod); + circ.set_phase("square_a_lo_apply_unshifted_sub"); + apply_unshifted_value(circ, &a_prod, output_reg, ShiftOp::Sub); + circ.set_phase("square_a_lo_apply_shifted_128_add"); + apply_shifted_128_tagged(circ, &a_prod, output_reg, ShiftOp::Add, "a"); + circ.set_phase("square_a_lo_unbuild"); + symmetric_square_into_prod_reverse(circ, lo, a_prod); + + circ.set_phase("square_b_hi_build"); + let hi = &lambda[128..N]; + let mut b_prod: Vec = Vec::with_capacity(2 * hi.len()); + symmetric_square_into_prod(circ, hi, &mut b_prod); + circ.set_phase("square_b_hi_apply_shifted_128_add"); + apply_shifted_128_tagged(circ, &b_prod, output_reg, ShiftOp::Add, "b"); + circ.set_phase("square_b_hi_apply_f_times_sub"); + apply_f_times_value(circ, &b_prod, output_reg, ShiftOp::Sub); + circ.set_phase("square_b_hi_unbuild"); + symmetric_square_into_prod_reverse(circ, hi, b_prod); + + circ.set_phase("square_sum_hi_lo_unbuild"); + unbuild_sum_hi_lo(circ, lambda, sum); +} diff --git a/src/point_add/trailmix_port/arith/compare.rs b/src/point_add/trailmix_port/arith/compare.rs new file mode 100644 index 00000000..0b5ae887 --- /dev/null +++ b/src/point_add/trailmix_port/arith/compare.rs @@ -0,0 +1,772 @@ +//! Comparison primitives for secp256k1-sized registers: `>= const`, +//! `>= p` / `>= p/2`, physical and phase-corrected variants, built on the +//! Khattar-Gidney `compare_geq_theorem3` core. Extracted from `poc_arith`. + +use crate::point_add::trailmix_port::circuit::{BorrowedQReg, Circuit, QReg}; + +/// Compare a >= val (classical constant), XOR result into flag. +/// Selfwire ripple-borrow: computes the carry-chain of +/// a + ~val + 1 using 2 transient ancillas. `carry_out` = 1 iff +/// a >= val. For each bit, the "b bit" is classical ~val[i]. +pub fn compare_geq_const(circ: &mut Circuit, a: &[QReg], val: &[u8], flag: &QReg) { + // Theorem 3 (Vandaele 2026): classical-quantum compare with 1 dirty + // ancilla (polylog peak, log2(n)+2 for any constant). No n-qubit + // temp register for the constant, so the peak stays logarithmic. + let n = a.len(); + if n == 0 { + circ.x(flag); + return; + } + crate::point_add::trailmix_port::arith::khattar_gidney::compare_geq_theorem3(circ, a, val, flag); +} + +/// Inline compare a >= `secp256k1_p` for 257-bit register. +/// Uses the exact identity for secp256k1: +/// +/// p = 2^256 - R, where R = 2^32 + 977 +/// x >= p <=> x + R overflows 256 bits +/// +/// for `x = a[0..256)`. We realize the overflow predicate directly as: +/// +/// a[256] +/// OR +/// (AND bits[33..255] AND +/// (a[32] OR (AND bits[10..31] AND (a[0..10) >= 47)))) +/// +/// where the low threshold comes from `2^10 - 977 = 47`. +/// +/// The long ANDs use the Khattar-Gidney prefix decomposition rather +/// than the old `mcx_clean_k` recursion, which keeps the ancilla budget +/// small while making these all-ones checks linear-time. +pub fn compare_geq_p_secp256k1(circ: &mut Circuit, a: &[QReg], flag: &QReg) { + compare_geq_p_secp256k1_inner(circ, a, BorrowedQReg::Borrowed(flag)); +} + +/// Consume variant: takes `flag` by value, frees it at last gate-touch +/// (before the uncompute pass allocates `kg_and_anc` ancillae, which +/// would advance `last_alloc_op_idx` past flag's last touch and trip the +/// strict-dealloc retention check). +pub fn compare_geq_p_secp256k1_consume(circ: &mut Circuit, a: &[QReg], flag: QReg) { + compare_geq_p_secp256k1_inner(circ, a, BorrowedQReg::Owned(flag)); +} + +fn compare_geq_p_secp256k1_inner(circ: &mut Circuit, a: &[QReg], flag: BorrowedQReg<'_>) { + assert!(a.len() == 257); + use crate::point_add::trailmix_port::arith::khattar_gidney::xor_and_of_khattar_gidney; + + let low4_all_ones = circ.alloc_qreg("cmp_p_low4_all_ones"); + xor_and_of_khattar_gidney(circ, &a[..4], &low4_all_ones); + + let low_tail_or = circ.alloc_qreg("cmp_p_low_tail_or"); + circ.cx(&a[4], &low_tail_or); + circ.cx(&low4_all_ones, &low_tail_or); + circ.ccx(&a[4], &low4_all_ones, &low_tail_or); + + let low6_ge = circ.alloc_qreg("cmp_p_low6_ge"); + circ.ccx(&a[5], &low_tail_or, &low6_ge); + + let hi_or_67 = circ.alloc_qreg("cmp_p_hi_or_67"); + circ.cx(&a[6], &hi_or_67); + circ.cx(&a[7], &hi_or_67); + circ.ccx(&a[6], &a[7], &hi_or_67); + + let hi_or_89 = circ.alloc_qreg("cmp_p_hi_or_89"); + circ.cx(&a[8], &hi_or_89); + circ.cx(&a[9], &hi_or_89); + circ.ccx(&a[8], &a[9], &hi_or_89); + + let hi4_nonzero = circ.alloc_qreg("cmp_p_hi4_nonzero"); + circ.cx(&hi_or_67, &hi4_nonzero); + circ.cx(&hi_or_89, &hi4_nonzero); + circ.ccx(&hi_or_67, &hi_or_89, &hi4_nonzero); + + let low10_ge = circ.alloc_qreg("cmp_p_low10_ge"); + circ.cx(&low6_ge, &low10_ge); + circ.cx(&hi4_nonzero, &low10_ge); + circ.ccx(&low6_ge, &hi4_nonzero, &low10_ge); + + let mid_all_ones = circ.alloc_qreg("cmp_p_mid_all_ones"); + xor_and_of_khattar_gidney(circ, &a[10..32], &mid_all_ones); + + let mid_and_low = circ.alloc_qreg("cmp_p_mid_and_low"); + circ.ccx(&mid_all_ones, &low10_ge, &mid_and_low); + + let tail_or = circ.alloc_qreg("cmp_p_tail_or"); + circ.cx(&a[32], &tail_or); + circ.cx(&mid_and_low, &tail_or); + circ.ccx(&a[32], &mid_and_low, &tail_or); + + let high_all_ones = circ.alloc_qreg("cmp_p_high_all_ones"); + xor_and_of_khattar_gidney(circ, &a[33..256], &high_all_ones); + + let high_and_tail = circ.alloc_qreg("cmp_p_high_and_tail"); + circ.ccx(&high_all_ones, &tail_or, &high_and_tail); + + circ.cx(&a[256], &flag); + circ.cx(&high_and_tail, &flag); + circ.ccx(&a[256], &high_and_tail, &flag); + // OWNED-flag consume path: free flag immediately after its last + // gate-touch above. The uncompute pass below allocates kg_and_anc + // inside xor_and_of_khattar_gidney; deferring the free until after + // those allocs would trip the strict-dealloc retention check. + if let BorrowedQReg::Owned(f) = flag { + circ.zero_and_free(f); + } + + // === MBU uncompute === + // + // The 9 internal AND/OR-tree CCX pairs collapse to 1 CCX (forward + // compute) + HMR + cz_if_bit (uncompute), saving 1 CCX per pair. + // + // For pure-AND targets (low6_ge, mid_and_low, high_and_tail), the + // forward was a single CCX so the uncompute is straightforward: + // declare_and_of(target, ctrl_a, ctrl_b); HMR(target); cz_if_bit. + // + // For OR-pattern targets (low_tail_or, hi_or_67, hi_or_89, + // hi4_nonzero, low10_ge, tail_or), the forward was + // `cx(p, t); cx(q, t); ccx(p, q, t)` giving t = p XOR q XOR (p AND q) + // = p OR q. The uncompute peels off the linear part first, leaving + // t = p AND q in the simulator (because (p OR q) XOR p XOR q = p AND q + // in F2), then HMR + cz_if_bit discharges the AND obligation. + mbu_uncompute_and(circ, high_and_tail, &high_all_ones, &tail_or); + + xor_and_of_khattar_gidney(circ, &a[33..256], &high_all_ones); + drop(high_all_ones); + + mbu_uncompute_or(circ, tail_or, &a[32], &mid_and_low); + + mbu_uncompute_and(circ, mid_and_low, &mid_all_ones, &low10_ge); + + xor_and_of_khattar_gidney(circ, &a[10..32], &mid_all_ones); + drop(mid_all_ones); + + mbu_uncompute_or(circ, low10_ge, &low6_ge, &hi4_nonzero); + + mbu_uncompute_or(circ, hi4_nonzero, &hi_or_67, &hi_or_89); + + mbu_uncompute_or(circ, hi_or_89, &a[8], &a[9]); + + mbu_uncompute_or(circ, hi_or_67, &a[6], &a[7]); + + mbu_uncompute_and(circ, low6_ge, &a[5], &low_tail_or); + + mbu_uncompute_or(circ, low_tail_or, &a[4], &low4_all_ones); + + xor_and_of_khattar_gidney(circ, &a[..4], &low4_all_ones); + drop(low4_all_ones); +} + +/// MBU uncompute of a pure-AND target: `target = p AND q` is replaced +/// by `HMR(target, bit); cz_if_bit(p, q, bit)` instead of the +/// reverse `ccx(p, q, target)`. Saves 1 CCX per call. +/// +/// `target` enters with sim value `p AND q` (the forward CCX put it +/// there) and exits as |0> after HMR. `p` and `q` must NOT have +/// been re-versioned between the forward CCX and this call — +/// `declare_and_of` verifies the equality across all 64 sim shots. +fn mbu_uncompute_and(circ: &mut Circuit, target: QReg, p: &QReg, q: &QReg) { + circ.declare_and_of(&target, p, q); + let bit = circ.alloc_bit(); + circ.hmr(&target, bit); + circ.cz_if_bit(p, q, bit); + circ.free_bit(bit); + drop(target); +} + +/// MBU uncompute of an OR target whose forward was +/// `cx(p, target); cx(q, target); ccx(p, q, target)` (= `target = p OR q`). +/// +/// Replaces the reverse `ccx(p, q, target); cx(q, target); cx(p, target)` +/// with `cx(q, target); cx(p, target); HMR(target); cz_if_bit(p, q, bit)`. +/// After the two CXs, `target = (p OR q) XOR q XOR p = p AND q` in F2, +/// matching the same MBU AND-discharge pattern. Saves 1 CCX per call. +fn mbu_uncompute_or(circ: &mut Circuit, target: QReg, p: &QReg, q: &QReg) { + // Strip the linear part: target = p OR q -> target XOR q -> XOR p = p AND q. + circ.cx(q, &target); + circ.cx(p, &target); + circ.declare_and_of(&target, p, q); + let bit = circ.alloc_bit(); + circ.hmr(&target, bit); + circ.cz_if_bit(p, q, bit); + circ.free_bit(bit); + drop(target); +} + +/// Inline compare a >= ceil(p/2) for a 256-bit register. +/// +/// With +/// +/// ceil(p/2) = 2^255 - 2^31 - 488 = 2^255 - 2^31 - (2^9 - 24), +/// +/// the predicate is: +/// +/// a[255] +/// OR +/// (AND bits[32..254] AND +/// (a[31] OR (AND bits[9..30] AND (a[0..9) >= 24)))) +pub fn compare_geq_half_p_secp256k1(circ: &mut Circuit, a: &[QReg], flag: &QReg) { + compare_geq_half_p_secp256k1_inner(circ, a, BorrowedQReg::Borrowed(flag)); +} + +/// Consume variant: takes `flag` by value, frees it at last gate-touch +/// (before uncompute allocs, same reasoning as the consume version of +/// `compare_geq_p_secp256k1`). +pub fn compare_geq_half_p_secp256k1_consume(circ: &mut Circuit, a: &[QReg], flag: QReg) { + compare_geq_half_p_secp256k1_inner(circ, a, BorrowedQReg::Owned(flag)); +} + +fn compare_geq_half_p_secp256k1_inner(circ: &mut Circuit, a: &[QReg], flag: BorrowedQReg<'_>) { + assert!(a.len() == 256); + use crate::point_add::trailmix_port::arith::khattar_gidney::xor_and_of_khattar_gidney; + + let hi_or_56 = circ.alloc_qreg("cmp_half_hi_or_56"); + circ.cx(&a[5], &hi_or_56); + circ.cx(&a[6], &hi_or_56); + circ.ccx(&a[5], &a[6], &hi_or_56); + + let hi_or_78 = circ.alloc_qreg("cmp_half_hi_or_78"); + circ.cx(&a[7], &hi_or_78); + circ.cx(&a[8], &hi_or_78); + circ.ccx(&a[7], &a[8], &hi_or_78); + + let hi4_nonzero = circ.alloc_qreg("cmp_half_hi4_nonzero"); + circ.cx(&hi_or_56, &hi4_nonzero); + circ.cx(&hi_or_78, &hi4_nonzero); + circ.ccx(&hi_or_56, &hi_or_78, &hi4_nonzero); + + let low5_ge24 = circ.alloc_qreg("cmp_half_low5_ge24"); + circ.ccx(&a[4], &a[3], &low5_ge24); + + let low9_ge24 = circ.alloc_qreg("cmp_half_low9_ge24"); + circ.cx(&hi4_nonzero, &low9_ge24); + circ.cx(&low5_ge24, &low9_ge24); + circ.ccx(&hi4_nonzero, &low5_ge24, &low9_ge24); + + let mid_all_ones = circ.alloc_qreg("cmp_half_mid_all_ones"); + xor_and_of_khattar_gidney(circ, &a[9..31], &mid_all_ones); + + let low_branch = circ.alloc_qreg("cmp_half_low_branch"); + circ.ccx(&mid_all_ones, &low9_ge24, &low_branch); + + let tail_or = circ.alloc_qreg("cmp_half_tail_or"); + circ.cx(&a[31], &tail_or); + circ.cx(&low_branch, &tail_or); + circ.ccx(&a[31], &low_branch, &tail_or); + + let high_all_ones = circ.alloc_qreg("cmp_half_high_all_ones"); + xor_and_of_khattar_gidney(circ, &a[32..255], &high_all_ones); + + let high_and_tail = circ.alloc_qreg("cmp_half_high_and_tail"); + circ.ccx(&high_all_ones, &tail_or, &high_and_tail); + + circ.cx(&a[255], &flag); + circ.cx(&high_and_tail, &flag); + circ.ccx(&a[255], &high_and_tail, &flag); + // OWNED-flag consume path: free flag at its last touch, before + // uncompute kg_and_anc allocs. + if let BorrowedQReg::Owned(f) = flag { + circ.zero_and_free(f); + } + + // === MBU uncompute === (same pattern as compare_geq_p_secp256k1_inner; + // see mbu_uncompute_and / mbu_uncompute_or for the algebra.) + mbu_uncompute_and(circ, high_and_tail, &high_all_ones, &tail_or); + + xor_and_of_khattar_gidney(circ, &a[32..255], &high_all_ones); + drop(high_all_ones); + + mbu_uncompute_or(circ, tail_or, &a[31], &low_branch); + + mbu_uncompute_and(circ, low_branch, &mid_all_ones, &low9_ge24); + + xor_and_of_khattar_gidney(circ, &a[9..31], &mid_all_ones); + drop(mid_all_ones); + + mbu_uncompute_or(circ, low9_ge24, &hi4_nonzero, &low5_ge24); + + mbu_uncompute_and(circ, low5_ge24, &a[4], &a[3]); + + mbu_uncompute_or(circ, hi4_nonzero, &hi_or_56, &hi_or_78); + + mbu_uncompute_or(circ, hi_or_78, &a[7], &a[8]); + + mbu_uncompute_or(circ, hi_or_56, &a[5], &a[6]); +} + +/// Compute-middle-uncompute variant: forward MAJ, set flag = (a>=b), invoke +/// `body` (which can use `flag` but must NOT touch `a` or `b` -- they are +/// scrambled during the middle), clear flag via the same cx(carry, flag), +/// then backward UMA. Cost ~2n CCX = HALF of `compute_compare_geq` + use + +/// `uncompute_compare_geq` (which would be ~4n). +/// +/// Caller convention: on entry `flag` is |0>. Inside `body`, `flag` holds +/// (a >= b). On exit from `compare_geq_physical_middle`, `flag` is back to +/// |0> and `a`, `b` are restored exactly. +pub fn compare_geq_physical_middle( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + flag: &QReg, + body: F, +) { + let na = a.len(); + let nb = b.len(); + let n = na.max(nb); + if n == 0 { + circ.x(flag); + body(circ, flag); + circ.x(flag); + return; + } + let prev = circ.push_section("cmp_middle"); + + let carry = circ.alloc_qreg("carry"); + circ.x(&carry); // initial carry = 1 + + let mut ext_a: Vec = Vec::new(); + let mut ext_b: Vec = Vec::new(); + + // Forward MAJ pass. + for i in 0..n { + if i >= na { + ext_a.push(circ.alloc_qreg("q")); + } + if i >= nb { + ext_b.push(circ.alloc_qreg("q")); + } + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + circ.x(bi); + circ.cx(&carry, bi); + circ.cx(&carry, ai); + circ.ccx(ai, bi, &carry); + } + + circ.cx(&carry, flag); // flag = (a >= b) + + body(circ, flag); // callback uses flag + + circ.cx(&carry, flag); // XOR-clean flag back to |0> + + // Backward UMA pass. + for i in (0..n).rev() { + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + circ.ccx(ai, bi, &carry); + circ.cx(&carry, ai); + circ.cx(&carry, bi); + circ.x(bi); + } + + circ.x(&carry); + circ.zero_and_free(carry); + for q in ext_a { + circ.zero_and_free(q); + } + for q in ext_b { + circ.zero_and_free(q); + } + circ.pop_section(&prev); +} + +/// Gidney measure-uncompute variant of [`compare_geq_physical_middle`]. +/// +/// Same contract: forward sets `flag = (a >= b)`, `body` may use `flag` but +/// must NOT touch `a`/`b` (scrambled during the middle), `flag` returns to +/// |0>, and `a`/`b` are restored exactly. The difference is the uncompute: +/// the `n` carries of the `a + ~b + 1` ripple are held in `n+1` ancillae and +/// each carry AND is erased by an X-basis measurement + a `CZ` on its two +/// (still-alive) AND inputs (Gidney 2018 measure-and-fixup, arXiv:1709.06648 +/// Fig.3) rather than a Toffoli. Cost: `n` Toffoli vs `2n`; peak `+(n+1)`. +/// Use where the ancilla headroom exists (e.g. the GCD comparator). +pub fn compare_geq_gidney_middle( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + flag: &QReg, + body: F, +) { + let na = a.len(); + let nb = b.len(); + let n = na.max(nb); + if n == 0 { + circ.x(flag); + body(circ, flag); + circ.x(flag); + return; + } + let prev = circ.push_section("cmp_gidney_middle"); + + let mut ext_a: Vec = Vec::new(); + let mut ext_b: Vec = Vec::new(); + // Carry chain cy[0..=n]; cy[0] = carry-in = 1 (the +1 of a + ~b + 1). + let mut cy: Vec> = Vec::with_capacity(n + 1); + let c0 = circ.alloc_qreg("cmpg_cy"); + circ.x(&c0); + cy.push(Some(c0)); + + // Forward: compute each carry via a Gidney AND (held). Scrambles a[i], + // b[i] into the AND inputs ta = a_i^c_i, tb = ~b_i^c_i. + for i in 0..n { + if i >= na { + ext_a.push(circ.alloc_qreg("q")); + } + if i >= nb { + ext_b.push(circ.alloc_qreg("q")); + } + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + let next = circ.alloc_qreg("cmpg_cy"); + let ci = cy[i].as_ref().unwrap(); + circ.x(bi); // bi = ~b_i + circ.cx(ci, bi); // bi = ~b_i ^ c_i (= tb) + circ.cx(ci, ai); // ai = a_i ^ c_i (= ta) + circ.ccx(ai, bi, &next); // next = ta & tb (Gidney AND, 1 Toffoli) + circ.cx(ci, &next); // next = c_i ^ (ta&tb) = c_{i+1} + cy.push(Some(next)); + } + + circ.cx(cy[n].as_ref().unwrap(), flag); // flag = c_n = (a >= b) + body(circ, flag); + circ.cx(cy[n].as_ref().unwrap(), flag); // clean flag back to |0> + + // Reverse: measure-uncompute each carry AND, then restore a[i], b[i]. + for i in (0..n).rev() { + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + let next = cy[i + 1].take().unwrap(); + // Undo the `c_i XOR`: next goes from c_{i+1} back to ta & tb. + circ.cx(cy[i].as_ref().unwrap(), &next); + // Measure-and-fixup AND erasure: HMR(next), then CZ(ta, tb). + let mut g = circ.hmr_ghost(&next); + circ.zero_and_free(next); + circ.ghost_xor_cz(&mut g, ai, bi); + circ.close_ghost(g); + // Restore inputs: ta ^ c_i = a_i, tb ^ c_i = ~b_i, then ~b_i -> b_i. + circ.cx(cy[i].as_ref().unwrap(), ai); + circ.cx(cy[i].as_ref().unwrap(), bi); + circ.x(bi); + } + + let c0 = cy[0].take().unwrap(); + circ.x(&c0); // carry-in 1 -> 0 + circ.zero_and_free(c0); + for q in ext_a { + circ.zero_and_free(q); + } + for q in ext_b { + circ.zero_and_free(q); + } + circ.pop_section(&prev); +} + +/// MBU variant of `compare_lt_phase_correction`. Takes `q_to_hmr` +/// (the overflow bit whose phase-kick must be discharged), HMRs +/// it itself, and uses `declare_identity` so the tracker can follow +/// the obligation -> discharge match structurally. +/// +/// Physically equivalent to: `caller.hmr(q_to_hmr`, bit); +/// `compare_lt_phase_correction(a`, b, bit). Same gate count +/// (+ 2 single-qubit X's on the compare-carry ancilla, and the +/// no-op `declare_identity`). +/// +/// IDENTITY (proved at call site): `val(q_to_hmr)` = 1[a < b]. +/// Caller must ensure this holds. For `rfold_mbu` callers with +/// a, b, `q_to_hmr` = overflow-of-add-pre-rfold: proved by the +/// case analysis in `rfold_mbu.rs`'s module header. +pub fn compare_lt_phase_correction_mbu( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + q_to_hmr: &QReg, +) { + let na = a.len(); + let nb = b.len(); + let n = na.max(nb); + if n == 0 { + // 0-width compare: 1[a = Vec::new(); + let mut ext_b: Vec = Vec::new(); + for i in 0..n { + if i >= na { + ext_a.push(circ.alloc_qreg("q")); + } + if i >= nb { + ext_b.push(circ.alloc_qreg("q")); + } + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + circ.x(bi); + circ.cx(&carry, bi); + circ.cx(&carry, ai); + circ.ccx(ai, bi, &carry); + } + // carry = 1[a >= b]. Flip to 1[a < b]. + circ.x(&carry); + + // Identity check is now inside Circuit::declare_identity. + circ.declare_identity(q_to_hmr, &carry); + + let bit = circ.alloc_bit(); + circ.hmr(q_to_hmr, bit); + circ.z_if_bit(&carry, bit); + circ.free_bit(bit); + + // Restore carry to 1[a >= b] for backward UMA. + circ.x(&carry); + for i in (0..n).rev() { + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + circ.ccx(ai, bi, &carry); + circ.cx(&carry, ai); + circ.cx(&carry, bi); + circ.x(bi); + } + + circ.x(&carry); + // After X+MAJ+UMA+X, carry is physically |0>. Tell the tracker. + drop(carry); + drop(ext_a); + drop(ext_b); +} + +/// MBU variant of `controlled_compare_lt_phase_correction`. +/// Identity: `val(q_to_hmr)` = ctrl AND 1[a < b]. +/// +/// Needs an extra ancilla `match_q` to materialize the AND +/// (since `declare_identity` can only assert equality between +/// two qubits, not a logical expression). +pub fn controlled_compare_lt_phase_correction_mbu( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + b: &[QReg], + q_to_hmr: &QReg, +) { + let na = a.len(); + let nb = b.len(); + let n = na.max(nb); + if n == 0 { + let bit = circ.alloc_bit(); + circ.hmr(q_to_hmr, bit); + circ.free_bit(bit); + return; + } + + // COPY ctrl into a fresh ancilla BEFORE the forward MAJ runs, + // because `ctrl` may alias a bit of `b` (e.g. when the outer + // call passes the same register as addend and source-of-ctrl + // -- see horner-squaring lsq = lambda*lambda). The MAJ's inner + // loop does x(b[i]); cx(carry, b[i]); ... which would corrupt + // the original ctrl qubit. We operate on ctrl_copy instead. + let ctrl_copy = circ.alloc_qreg("ctrl_copy"); + circ.cx(ctrl, &ctrl_copy); + + let carry = circ.alloc_qreg("carry"); + circ.x(&carry); + + let mut ext_a: Vec = Vec::new(); + let mut ext_b: Vec = Vec::new(); + for i in 0..n { + if i >= na { + ext_a.push(circ.alloc_qreg("q")); + } + if i >= nb { + ext_b.push(circ.alloc_qreg("q")); + } + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + circ.x(bi); + circ.cx(&carry, bi); + circ.cx(&carry, ai); + circ.ccx(ai, bi, &carry); + } + // carry = 1[a >= b]. Flip to 1[a < b]. + circ.x(&carry); + + // Pin q_to_hmr's tracked value to ctrl_copy AND carry so the + // upcoming cz_if_bit(ctrl_copy, carry, bit) structurally matches + // the HMR obligation. + circ.declare_and_of(q_to_hmr, &ctrl_copy, &carry); + + let bit = circ.alloc_bit(); + circ.hmr(q_to_hmr, bit); + circ.cz_if_bit(&ctrl_copy, &carry, bit); + circ.free_bit(bit); + + circ.x(&carry); + for i in (0..n).rev() { + let ai: &QReg = if i < na { &a[i] } else { &ext_a[i - na] }; + let bi: &QReg = if i < nb { &b[i] } else { &ext_b[i - nb] }; + circ.ccx(ai, bi, &carry); + circ.cx(&carry, ai); + circ.cx(&carry, bi); + circ.x(bi); + } + + circ.x(&carry); + drop(carry); + drop(ext_a); + drop(ext_b); + + // Uncompute ctrl_copy now that ctrl's original value has been + // restored by the backward MAJ. + circ.cx(ctrl, &ctrl_copy); + drop(ctrl_copy); +} + +/// Top-K truncated variant of `controlled_compare_lt_phase_correction_mbu`. +/// Builds `1[a < b]` from only the top `k` bits (requires `a.len()==b.len()`): +/// the borrow chain starts at bit `n-k` with borrow-in 0, so the result equals +/// the true `1[a= b[lo..]]. + for i in lo..n { + let ai = &a[i]; + let bi = &b[i]; + circ.x(bi); + circ.cx(&carry, bi); + circ.cx(&carry, ai); + circ.ccx(ai, bi, &carry); + } + circ.x(&carry); // carry := 1[a[lo..] < b[lo..]] ≈ 1[a < b]. + + circ.declare_and_of(q_to_hmr, &ctrl_copy, &carry); + let bit = circ.alloc_bit(); + circ.hmr(q_to_hmr, bit); + circ.cz_if_bit(&ctrl_copy, &carry, bit); + circ.free_bit(bit); + + circ.x(&carry); + for i in (lo..n).rev() { + let ai = &a[i]; + let bi = &b[i]; + circ.ccx(ai, bi, &carry); + circ.cx(&carry, ai); + circ.cx(&carry, bi); + circ.x(bi); + } + circ.x(&carry); + drop(carry); + + circ.cx(ctrl, &ctrl_copy); + drop(ctrl_copy); +} + +/// MBU variant of `compare_geq_p_secp256k1_phase_correction`. +/// HMRs `q_to_hmr` after building `compare_carry` = 1[a >= p], +/// with `declare_identity` so the tracker sees the match. +/// +/// IDENTITY (caller proves): `val(q_to_hmr)` = 1[a >= `p_secp256k1`]. +/// Consumes and frees `q_to_hmr` internally. +pub fn compare_geq_p_secp256k1_phase_correction_mbu( + circ: &mut Circuit, + a: &[QReg], + q_to_hmr: QReg, +) { + assert!(a.len() == 257); + // Use the specialized secp256k1 compare here, not the generic + // theorem-3 builder. The specialized comparator already has a + // proven 257-bit shape for p = 2^256 - 2^32 - 977 and is + // self-inverse on its output qubit, which is exactly what this + // MBU wrapper needs. + let carry = circ.alloc_qreg("carry"); + compare_geq_p_secp256k1(circ, a, &carry); + + // IDENTITY: val(q_to_hmr) == val(carry) = 1[a >= p]. + circ.declare_identity(&q_to_hmr, &carry); + let bit = circ.alloc_bit(); + circ.hmr(&q_to_hmr, bit); + circ.z_if_bit(&carry, bit); + circ.free_bit(bit); + // Free q_to_hmr at its last gate-touch (hmr above) before the uncompute + // section allocates kg_and_anc ancillae. + drop(q_to_hmr); + + // Uncompute carry: after z_if_bit, carry = 1[a >= p] (value unchanged by + // phase gate). We cannot pass carry directly to the second compare call + // because that call allocates ancillae BEFORE it first touches carry, + // which would advance last_alloc_op_idx past carry's last gate-touch + // (z_if_bit) and trigger a wasteful-retention panic. + // + // Instead: build a fresh carry2 = 1[a >= p] via a second forward compare, + // XOR carry2 into carry (zeroing carry since carry == carry2), free carry + // at that last-touch, then uncompute carry2 via the consume variant. + // carry is freed before carry2's compare inner allocs, carry2 is freed + // at its last touch inside compare_geq_p_secp256k1_inner. + let carry2 = circ.alloc_qreg("carry2"); + compare_geq_p_secp256k1(circ, a, &carry2); + circ.cx(&carry2, &carry); // carry ^= carry2 = 0 (carry == carry2 = 1[a>=p]) + drop(carry); // free at last touch (cx above), before carry2 uncompute allocs + compare_geq_p_secp256k1_consume(circ, a, carry2); +} + +/// MBU variant of `compare_geq_half_p_secp256k1`. +/// HMRs `q_to_hmr` after building carry = 1[a >= ceil(p/2)]. +/// Consumes and frees `q_to_hmr` internally. +pub fn compare_geq_half_p_secp256k1_phase_correction_mbu( + circ: &mut Circuit, + a: &[QReg], + q_to_hmr: QReg, +) { + let carry = circ.alloc_qreg("carry"); + compare_geq_half_p_secp256k1(circ, a, &carry); + + circ.declare_identity(&q_to_hmr, &carry); + let bit = circ.alloc_bit(); + circ.hmr(&q_to_hmr, bit); + circ.z_if_bit(&carry, bit); + circ.free_bit(bit); + // Free q_to_hmr at its last gate-touch (hmr above) before the uncompute + // section allocates kg_and_anc ancillae. + drop(q_to_hmr); + + // Same carry2 pattern as compare_geq_p_secp256k1_phase_correction_mbu: + // build a fresh carry2 to zero carry before the uncompute allocs. + let carry2 = circ.alloc_qreg("carry2"); + compare_geq_half_p_secp256k1(circ, a, &carry2); + circ.cx(&carry2, &carry); + drop(carry); + compare_geq_half_p_secp256k1_consume(circ, a, carry2); +} diff --git a/src/point_add/trailmix_port/arith/const_add.rs b/src/point_add/trailmix_port/arith/const_add.rs new file mode 100644 index 00000000..5cb608ba --- /dev/null +++ b/src/point_add/trailmix_port/arith/const_add.rs @@ -0,0 +1,567 @@ +//! Add/subtract of a compile-time constant into a quantum register, with +//! clustered / windowed / sparse / runs-forced encodings that exploit the +//! constant's bit structure. Extracted from `poc_arith`. + +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +/// Step descriptor for the run-based carry automaton. We hold a Vec +/// of all the "carry" `QRegs` alive concurrently (each step has its own); the +/// step records the indexes into that Vec rather than the `QReg` itself +/// (which is non-Copy / non-Clone). +#[derive(Clone, Copy)] +enum RunCarryStep { + FirstOne { + lo: usize, + hi: usize, + carry_idx: usize, + }, + Zero { + lo: usize, + hi: usize, + prev_carry_idx: usize, + carry_idx: usize, + }, + One { + lo: usize, + hi: usize, + prev_carry_idx: usize, + carry_idx: usize, + }, +} + +#[must_use] +pub fn get_const_bit(bytes: &[u8], i: usize) -> bool { + let byte_idx = i / 8; + let bit_idx = i % 8; + byte_idx < bytes.len() && (bytes[byte_idx] >> bit_idx) & 1 == 1 +} + +/// Controlled add-constant: if ctrl=1, a += val. +/// +/// Dispatches between two backends: +/// - **Sparse** (popcount x 5n threshold): iterate over the set bits +/// of `val` and, for each, call `cinc_khattar_gidney` +/// from that position. Cost ~= popcount x cinc(n-pos). Best when +/// popcount is small (e.g. rfold R = 2^32+977 at popcount 7). +/// - **Dense** (Theorem 5 via `controlled_classical_quantum_add`): +/// Theta(n log^2 n) single pass. Best when popcount ~= n/2. +/// +/// Threshold is popcount <= log2(n) (a conservative value; Theorem 5 +/// beats sparse at roughly popcount > log2(n) * const). +pub fn controlled_add_const(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], val: &[u8]) { + let n = a.len(); + if n == 0 { + return; + } + + // Find low/high set bits and popcount of val within first n bits. + let mut lo_bit = usize::MAX; + let mut hi_bit = 0usize; + let mut pop = 0usize; + for i in 0..n { + if get_const_bit(val, i) { + if lo_bit == usize::MAX { + lo_bit = i; + } + hi_bit = i; + pop += 1; + } + } + if pop == 0 { + return; + } + if pop == 1 { + // Single bit: just one cinc from that position. + crate::point_add::trailmix_port::arith::khattar_gidney::cinc_khattar_gidney(circ, &a[lo_bit..], ctrl); + return; + } + let runs = one_runs(val, n); + + // Windowed path: set bits all lie in [lo_bit, hi_bit]. If the + // window width is small relative to n, adding via + // (1) controlled classq_add on a[lo..=hi] with c = val restricted + // to window bits, and + // (2) a single controlled cinc_khattar_gidney on a[hi+1..] for the carry-out, + // is much cheaper than a cinc_khattar_gidney per set bit. Concretely for + // val = R = 2^32 + 977 (popcount=7, window=[0,32]): classq_add(33) + // + witness + cinc(223) ~= 15K ops vs 79K for 7 separate cincs. + // + // Heuristic: clustered constants benefit from the run-based + // decomposition below; narrow windows benefit from the generic + // classq-add path; very sparse wide constants still prefer the + // per-bit suffix increments. + let window = hi_bit - lo_bit + 1; + let segment_count = runs.len().saturating_mul(2).saturating_sub(1); + // Empirically (profile_add_const_f for f=2^32+977 into 63-bit reg): + // runs_forced 359 Tof <- always cheapest for sparse multi-bit constants + // sparse 1109 Tof + // windowed 1458 Tof + // Theorem 5 2116 Tof + // The old heuristic gated `runs_forced` on `window <= n/3` which is FALSE + // for f (window=33 vs lsbs=63/3=21), routing to Theorem 5. Empirically, + // runs_forced wins as long as #runs is modest — extend the threshold so + // sparse-but-wide constants like f use it. + if runs.len() <= 8 && segment_count <= 15 { + controlled_add_const_runs_forced(circ, ctrl, a, val); + } else if window <= n / 3 { + controlled_add_const_windowed(circ, ctrl, a, val, lo_bit, hi_bit); + } else if pop <= (n.trailing_zeros() as usize).max(1) + 4 { + controlled_add_const_sparse(circ, ctrl, a, val); + } else { + crate::point_add::trailmix_port::arith::khattar_gidney::controlled_classical_quantum_add(circ, ctrl, a, val); + } +} + +fn one_runs(val: &[u8], n: usize) -> Vec<(usize, usize)> { + let mut runs = Vec::new(); + let mut i = 0usize; + while i < n { + if !get_const_bit(val, i) { + i += 1; + continue; + } + let lo = i; + while i + 1 < n && get_const_bit(val, i + 1) { + i += 1; + } + runs.push((lo, i)); + i += 1; + } + runs +} + +fn xor_all_ones(circ: &mut Circuit, block: &[QReg], target: &QReg) { + let block_refs: Vec<&QReg> = block.iter().collect(); + crate::point_add::trailmix_port::arith::mcx::mcx_clean_k(circ, &block_refs, target); +} + +/// Like `xor_all_ones` but frees `target` at its last gate-touch inside +/// `mcx_clean_k_uncompute_consume`, before the uncompute step allocs ancillae. +fn xor_all_ones_consume_free(circ: &mut Circuit, block: &[QReg], target: QReg) { + let block_refs: Vec<&QReg> = block.iter().collect(); + crate::point_add::trailmix_port::arith::mcx::mcx_clean_k_uncompute_consume(circ, &block_refs, target); +} + +fn apply_conditional_decrement(circ: &mut Circuit, block: &[QReg], ctrl: &QReg) { + // Decrement by ctrl via X-sandwich + cinc_khattar_gidney (O(n log* n) + // CCX/CX). The leading/trailing X-loops on `block` produce adjacent + // X-X pairs only on bits the inner cinc never touches; auto-elide + // cancels those at push time, leaving the optimal sequence. + for q in block { + circ.x(q); + } + crate::point_add::trailmix_port::arith::khattar_gidney::cinc_khattar_gidney(circ, block, ctrl); + for q in block { + circ.x(q); + } +} + +fn carry_after_first_one_run(circ: &mut Circuit, ctrl: &QReg, block: &[QReg], carry: &QReg) { + let all_ones = circ.alloc_qreg("run_all_ones"); + xor_all_ones(circ, block, &all_ones); + circ.cx(ctrl, carry); + circ.ccx(ctrl, &all_ones, carry); + // Free all_ones at its last gate-touch before any subsequent allocs. + xor_all_ones_consume_free(circ, block, all_ones); +} + +/// Uncompute variant: frees carry before `xor_all_ones_consume_free` allocs ancillae. +fn carry_after_first_one_run_uncompute_free_carry( + circ: &mut Circuit, + ctrl: &QReg, + block: &[QReg], + carry: QReg, +) { + let all_ones = circ.alloc_qreg("run_all_ones"); + xor_all_ones(circ, block, &all_ones); + circ.cx(ctrl, &carry); + circ.ccx(ctrl, &all_ones, &carry); + drop(carry); + xor_all_ones_consume_free(circ, block, all_ones); +} + +fn carry_after_zero_run(circ: &mut Circuit, prev_carry: &QReg, block: &[QReg], carry: &QReg) { + // Inlined to avoid cancelling X(block[i]) at the boundary between + // xor_all_zeros and xor_all_zeros_consume_free: the trailing ~block + // of the first and the leading ~block of the second are adjacent + // X-X pairs on each block bit (separated only by the ccx on + // prev_carry/all_zeros/carry, which doesn't touch block). + let all_zeros = circ.alloc_qreg("run_all_zeros"); + let block_refs: Vec<&QReg> = block.iter().collect(); + for q in block { + circ.x(q); + } + crate::point_add::trailmix_port::arith::mcx::mcx_clean_k(circ, &block_refs, &all_zeros); + circ.ccx(prev_carry, &all_zeros, carry); + crate::point_add::trailmix_port::arith::mcx::mcx_clean_k_uncompute_consume(circ, &block_refs, all_zeros); + for q in block { + circ.x(q); + } +} + +/// Uncompute variant of `carry_after_zero_run`: frees `carry` at its last +/// gate-touch (the ccx), BEFORE `xor_all_zeros_consume_free` allocs ancillae +/// that would push `last_alloc_op_idx` past carry's last touch. +fn carry_after_zero_run_uncompute_free_carry( + circ: &mut Circuit, + prev_carry: &QReg, + block: &[QReg], + carry: QReg, +) { + let all_zeros = circ.alloc_qreg("run_all_zeros"); + let block_refs: Vec<&QReg> = block.iter().collect(); + for q in block { + circ.x(q); + } + crate::point_add::trailmix_port::arith::mcx::mcx_clean_k(circ, &block_refs, &all_zeros); + circ.ccx(prev_carry, &all_zeros, &carry); + drop(carry); + crate::point_add::trailmix_port::arith::mcx::mcx_clean_k_uncompute_consume(circ, &block_refs, all_zeros); + for q in block { + circ.x(q); + } +} + +fn carry_after_one_run( + circ: &mut Circuit, + ctrl: &QReg, + prev_carry: &QReg, + block: &[QReg], + carry: &QReg, +) { + let dec_ctrl = circ.alloc_qreg("run_dec_ctrl"); + circ.cx(ctrl, &dec_ctrl); + circ.cx(prev_carry, &dec_ctrl); + + let all_ones = circ.alloc_qreg("run_all_ones"); + xor_all_ones(circ, block, &all_ones); + + circ.cx(ctrl, carry); + circ.ccx(&dec_ctrl, &all_ones, carry); + + // Free all_ones at its last gate-touch before the uncompute allocs ancillae. + xor_all_ones_consume_free(circ, block, all_ones); + + circ.cx(prev_carry, &dec_ctrl); + circ.cx(ctrl, &dec_ctrl); + drop(dec_ctrl); +} + +/// Uncompute variant: frees carry before `xor_all_ones_consume_free` allocs ancillae. +fn carry_after_one_run_uncompute_free_carry( + circ: &mut Circuit, + ctrl: &QReg, + prev_carry: &QReg, + block: &[QReg], + carry: QReg, +) { + let dec_ctrl = circ.alloc_qreg("run_dec_ctrl"); + circ.cx(ctrl, &dec_ctrl); + circ.cx(prev_carry, &dec_ctrl); + + let all_ones = circ.alloc_qreg("run_all_ones"); + xor_all_ones(circ, block, &all_ones); + + circ.cx(ctrl, &carry); + circ.ccx(&dec_ctrl, &all_ones, &carry); + // carry's last touch is the ccx above. Free before consume allocs. + drop(carry); + + xor_all_ones_consume_free(circ, block, all_ones); + + circ.cx(prev_carry, &dec_ctrl); + circ.cx(ctrl, &dec_ctrl); + drop(dec_ctrl); +} + +/// Run-based controlled add for constants with clustered `1` bits. +/// +/// This is a true chained carry automaton over alternating 1-runs and +/// 0-runs inside the active window `[runs[0].0, runs.last().1]`. +/// It pays one final suffix increment, not one suffix increment per +/// run. That is the whole point of this backend. +#[doc(hidden)] +pub fn controlled_add_const_runs_forced(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], val: &[u8]) { + use crate::point_add::trailmix_port::arith::khattar_gidney::cinc_khattar_gidney; + + let runs = one_runs(val, a.len()); + if runs.is_empty() { + return; + } + + let mut steps: Vec = Vec::new(); + // All carry QRegs live in this Vec until they're consumed in the + // uncompute pass. Steps reference into it by index. + let mut carries: Vec> = Vec::new(); + + let (first_lo, first_hi) = runs[0]; + let first_block = &a[first_lo..=first_hi]; + apply_conditional_decrement(circ, first_block, ctrl); + + let need_first_carry = runs.len() > 1 || first_hi + 1 < a.len(); + let mut prev_carry_idx: Option = if need_first_carry { + let carry = circ.alloc_qreg("run_carry"); + carry_after_first_one_run(circ, ctrl, first_block, &carry); + let idx = carries.len(); + carries.push(Some(carry)); + steps.push(RunCarryStep::FirstOne { + lo: first_lo, + hi: first_hi, + carry_idx: idx, + }); + Some(idx) + } else { + None + }; + + for pair in runs.windows(2) { + let (prev_lo, prev_hi) = pair[0]; + let (lo, hi) = pair[1]; + let zero_lo = prev_hi + 1; + let zero_hi = lo - 1; + debug_assert!(zero_lo <= zero_hi); + let carry_in_idx = prev_carry_idx.expect("carry missing before zero-run"); + + let zero_block = &a[zero_lo..=zero_hi]; + { + let carry_in = carries[carry_in_idx].as_ref().expect("carry alive"); + cinc_khattar_gidney(circ, zero_block, carry_in); + } + let zero_carry = circ.alloc_qreg("run_carry"); + { + let carry_in = carries[carry_in_idx].as_ref().expect("carry alive"); + carry_after_zero_run(circ, carry_in, zero_block, &zero_carry); + } + let zero_carry_idx = carries.len(); + carries.push(Some(zero_carry)); + steps.push(RunCarryStep::Zero { + lo: zero_lo, + hi: zero_hi, + prev_carry_idx: carry_in_idx, + carry_idx: zero_carry_idx, + }); + + let one_block = &a[lo..=hi]; + let dec_ctrl = circ.alloc_qreg("run_dec_ctrl"); + circ.cx(ctrl, &dec_ctrl); + { + let zero_carry_ref = carries[zero_carry_idx].as_ref().expect("carry alive"); + circ.cx(zero_carry_ref, &dec_ctrl); + } + apply_conditional_decrement(circ, one_block, &dec_ctrl); + { + let zero_carry_ref = carries[zero_carry_idx].as_ref().expect("carry alive"); + circ.cx(zero_carry_ref, &dec_ctrl); + } + circ.cx(ctrl, &dec_ctrl); + drop(dec_ctrl); + + let need_one_carry = hi + 1 < a.len(); + prev_carry_idx = if need_one_carry { + let one_carry = circ.alloc_qreg("run_carry"); + { + let zero_carry_ref = carries[zero_carry_idx].as_ref().expect("carry alive"); + carry_after_one_run(circ, ctrl, zero_carry_ref, one_block, &one_carry); + } + let idx = carries.len(); + carries.push(Some(one_carry)); + steps.push(RunCarryStep::One { + lo, + hi, + prev_carry_idx: zero_carry_idx, + carry_idx: idx, + }); + Some(idx) + } else { + None + }; + + let _ = prev_lo; + } + + let last_hi = runs.last().unwrap().1; + if let Some(carry_idx) = prev_carry_idx { + let carry_ref = carries[carry_idx].as_ref().expect("carry alive"); + cinc_khattar_gidney(circ, &a[last_hi + 1..], carry_ref); + } + + for step in steps.into_iter().rev() { + match step { + RunCarryStep::FirstOne { lo, hi, carry_idx } => { + let carry = carries[carry_idx].take().expect("carry alive"); + carry_after_first_one_run_uncompute_free_carry(circ, ctrl, &a[lo..=hi], carry); + } + RunCarryStep::Zero { + lo, + hi, + prev_carry_idx, + carry_idx, + } => { + let carry = carries[carry_idx].take().expect("carry alive"); + // Use the uncompute variant that frees carry before + // xor_all_zeros_consume_free allocs intermediate ancillae. + let prev_ref = carries[prev_carry_idx].as_ref().expect("prev carry alive"); + // We can't pass `prev_ref` directly because we need the + // uncompute callee to take ownership of `carry`; pass a + // borrow of prev (still alive at this point in the chain). + carry_after_zero_run_uncompute_free_carry(circ, prev_ref, &a[lo..=hi], carry); + } + RunCarryStep::One { + lo, + hi, + prev_carry_idx, + carry_idx, + } => { + let carry = carries[carry_idx].take().expect("carry alive"); + let prev_ref = carries[prev_carry_idx].as_ref().expect("prev carry alive"); + carry_after_one_run_uncompute_free_carry(circ, ctrl, prev_ref, &a[lo..=hi], carry); + } + } + } + // Any remaining carries in the Vec (none should remain after the + // reverse pass consumed them all) drop here. + drop(carries); +} + +/// Windowed controlled add-constant. Requires val's set bits to all +/// lie in [lo, hi]. Does one `classq_add` on the window, computes the +/// carry-out via a classical compare witness, then propagates via a +/// single controlled increment on a[hi+1..]. +pub fn controlled_add_const_windowed( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + val: &[u8], + lo: usize, + hi: usize, +) { + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + cinc_khattar_gidney, compare_geq_theorem3, controlled_classical_quantum_add, + }; + let n = a.len(); + assert!(hi < n); + + let window = hi - lo + 1; + + // Build c_window: val shifted down by lo, masked to window bits. + let mut c_window = vec![0u8; window.div_ceil(8)]; + for i in 0..window { + if get_const_bit(val, lo + i) { + c_window[i / 8] |= 1u8 << (i % 8); + } + } + + // Step 1: a[lo..=hi] += ctrl * c_window (mod 2^window). + controlled_classical_quantum_add(circ, ctrl, &a[lo..=hi], &c_window); + + // Step 2: carry_out = ctrl AND (a[lo..=hi]_new < c_window). + // (Because a_new = a_old + ctrl*c mod 2^window, and overflow + // happened iff a_old + ctrl*c >= 2^window iff a_new < ctrl*c; + // for ctrl=0 this is a_new < 0 = false.) + let v = circ.alloc_qreg("rfold_win_v"); + compare_geq_theorem3(circ, &a[lo..=hi], &c_window, &v); + circ.x(&v); // v = (a[lo..=hi] < c_window). + + let carry = circ.alloc_qreg("rfold_win_c"); + circ.ccx(&v, ctrl, &carry); + + // Step 3: propagate the carry into a[hi+1..]. + if hi + 1 < n { + cinc_khattar_gidney(circ, &a[hi + 1..], &carry); + } + + // Uncompute carry and v. + circ.ccx(&v, ctrl, &carry); + drop(carry); // last touch was ccx above; drain at next gate (gap=0). + + circ.x(&v); + compare_geq_theorem3(circ, &a[lo..=hi], &c_window, &v); + // v drops here; drain fires at next gate (gap=0). +} + +/// Sparse-constant controlled add: iterates over set bits of `val`, +/// emits a `cinc_khattar_gidney` from each bit position. +/// +/// Semantic: a += ctrl * val (mod 2^n). +/// +/// Cost: sum over set bits i of cinc(n-i), still O(popcount*n) in the +/// worst case but with a much smaller constant than Theorem 4. +pub fn controlled_add_const_sparse(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], val: &[u8]) { + let n = a.len(); + if n == 0 { + return; + } + for i in 0..n { + if get_const_bit(val, i) { + // Add 2^i to a, controlled by ctrl: increment a[i..] by 1 + // conditioned on ctrl. + crate::point_add::trailmix_port::arith::khattar_gidney::cinc_khattar_gidney(circ, &a[i..], ctrl); + } + } +} + +pub fn controlled_sub_const(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], val: &[u8]) { + let n = a.len(); + if n == 0 { + return; + } + // Compute -val mod 2^n = ~val + 1 (n-bit two's complement) so we + // can subtract via a single controlled_add_const. The X-sandwich + // form (~a; add_const; ~a) leaves bits of `a` untouched by the + // inner add_const with cancelling X's at start and end — the + // redundant-op detector flags those as wasted gates. + let mut neg_bits = vec![false; n]; + let mut carry = true; + for i in 0..n { + let inv = !get_const_bit(val, i); + neg_bits[i] = inv ^ carry; + carry = inv && carry; + } + let mut neg_val = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if neg_bits[i] { + neg_val[i / 8] |= 1u8 << (i % 8); + } + } + controlled_add_const(circ, ctrl, a, &neg_val); +} + +/// Reference-slice variant of [`controlled_add_const`]. +/// +/// Routes directly to the dense `controlled_classical_quantum_add_refs` +/// (Theorem 5) implementation. The dispatch heuristics in the +/// `&[QReg]`-shaped variant (sparse, runs-forced, windowed) are +/// performance optimizations for known-shape constants; for the +/// view-shaped path we just use the always-correct cqadd path. +/// Cost: O(n log^2 n), polylog peak ancs. +pub fn controlled_add_const_refs(circ: &mut Circuit, ctrl: &QReg, a: &[&QReg], val: &[u8]) { + let n = a.len(); + if n == 0 { + return; + } + crate::point_add::trailmix_port::arith::khattar_gidney::controlled_classical_quantum_add_refs(circ, ctrl, a, val); +} + +/// Reference-slice variant of [`controlled_sub_const`]. +/// +/// X-sandwich form: a := a + (-val mod 2^n) = a - val. +pub fn controlled_sub_const_refs(circ: &mut Circuit, ctrl: &QReg, a: &[&QReg], val: &[u8]) { + let n = a.len(); + if n == 0 { + return; + } + let mut neg_bits = vec![false; n]; + let mut carry = true; + for i in 0..n { + let inv = !get_const_bit(val, i); + neg_bits[i] = inv ^ carry; + carry = inv && carry; + } + let mut neg_val = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if neg_bits[i] { + neg_val[i / 8] |= 1u8 << (i % 8); + } + } + controlled_add_const_refs(circ, ctrl, a, &neg_val); +} diff --git a/src/point_add/trailmix_port/arith/cuccaro.rs b/src/point_add/trailmix_port/arith/cuccaro.rs new file mode 100644 index 00000000..2ba7f8cb --- /dev/null +++ b/src/point_add/trailmix_port/arith/cuccaro.rs @@ -0,0 +1,667 @@ +//! Cuccaro ripple-carry adders and subtractors (MAJ/UMA chains), including +//! the controlled, overflow-capturing, and 3n-Toffoli low-depth variants. +//! Extracted from the former `mbu_primitives` grab-bag. + +use crate::point_add::trailmix_port::arith::mcx::{mcx_clean_k, mcx_dirty}; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +/// Cuccaro et al. (arXiv:quant-ph/0410184) in-place adder. +/// `a ← (a + b) mod 2^n` where a, b are both n-bit quantum registers. +/// `b` is preserved. 1 clean ancilla (carry-in) alloc'd internally. +/// +/// Ancs: 1 (polylog ✓). Gates: 2n Toffoli + 4n CX. +/// Replaces `add_physical`'s n-1 AND ancillae (which violate HARD +/// RULE). MBU-based `add_physical` amortizes Toffolis via HMR+CZ in +/// UMA backward but pays with O(n) ancs; canonical Cuccaro does the +/// UMA with CCX, keeping ancs at O(1). +/// +/// Structure: +/// 1. MAJ cascade forward (n levels): each stage temporarily +/// stores `carry_i` in b[i]; a[i] becomes a XOR b XOR `carry_i` +/// (a partial sum). +/// 2. UMA cascade reverse (n levels): restores b[i] to `b_i` and +/// finalizes a[i] = `sum_i`. +/// +/// For overflow, use `add_cuccaro_with_overflow`; this variant +/// silently discards carry-out (mod 2^n arithmetic). +pub fn add_cuccaro(circ: &mut Circuit, a: &[QReg], b: &[QReg]) { + let n = a.len(); + let nb = b.len(); + assert!( + nb == n || nb == n - 1, + "add_cuccaro: b must be same length as a, or 1 bit shorter \ + (treating b[n-1] as implicit 0); got a.len()={n}, b.len()={nb}" + ); + + // PRE: capture (a_pre, b_pre). + if n > 0 { + let a_for_capture: Vec<&QReg> = a.iter().collect(); + let b_for_capture: Vec<&QReg> = b.iter().collect(); + circ.contract_capture( + "mbu.add_cuccaro.pre", + move |view, shot| -> Result<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint), String> { + let read = |regs: &[&QReg]| -> crate::point_add::trailmix_port::num_bigint::BigUint { + let mut v = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in regs.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + v |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + v + }; + Ok((read(&a_for_capture), read(&b_for_capture))) + }, + ); + } + + if n == 0 { + return; + } + if n == 1 { + if nb == 1 { + circ.cx(&b[0], &a[0]); + } + // else: b is empty, b[0] is implicitly 0 → no-op. + add_cuccaro_post_check(circ, a, b); + return; + } + + let c = circ.alloc_qreg("cuccaro_c"); + + // MAJ_0. + circ.cx(&b[0], &a[0]); + circ.cx(&b[0], &c); + circ.ccx(&c, &a[0], &b[0]); + // MAJ_i for i in 1..n-1. + for i in 1..n - 1 { + circ.cx(&b[i], &a[i]); + circ.cx(&b[i], &b[i - 1]); + circ.ccx(&b[i - 1], &a[i], &b[i]); + } + // MAJ_{n-1} truncated. When b is 1 bit shorter, b[n-1] is + // implicitly 0, so cx(b[n-1], a[n-1]) is a no-op and we skip it. + if nb == n { + circ.cx(&b[n - 1], &a[n - 1]); + } + + // UMA_{n-1} truncated. + circ.cx(&b[n - 2], &a[n - 1]); + // UMA_i for i in (1..n-1).rev(): full UMA. + for i in (1..n - 1).rev() { + circ.ccx(&b[i - 1], &a[i], &b[i]); + circ.cx(&b[i], &b[i - 1]); + circ.cx(&b[i - 1], &a[i]); + } + circ.ccx(&c, &a[0], &b[0]); + circ.cx(&b[0], &c); + circ.cx(&c, &a[0]); + + // c drops here. + + add_cuccaro_post_check(circ, a, b); +} + +/// Post-check for `add_cuccaro`: a == (`a_pre` + `b_pre`) mod 2^n; b unchanged. +fn add_cuccaro_post_check(circ: &mut Circuit, a: &[QReg], b: &[QReg]) { + let n = a.len(); + let a_for_check: Vec<&QReg> = a.iter().collect(); + let b_for_check: Vec<&QReg> = b.iter().collect(); + circ.contract_pop_and_check::<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint), _>( + "mbu.add_cuccaro.pre", + move |cap, view, shot| -> Result<(), String> { + let (a_pre, b_pre) = cap; + let read = |regs: &[&QReg]| -> crate::point_add::trailmix_port::num_bigint::BigUint { + let mut v = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in regs.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + v |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + v + }; + let a_post = read(&a_for_check); + let b_post = read(&b_for_check); + let modulus = crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << n; + let expected = (a_pre + b_pre) % &modulus; + if a_post != expected { + return Err(format!( + "add_cuccaro: a_post={a_post:#x}, expected (a_pre+b_pre) mod 2^{n} = {expected:#x} (a_pre={a_pre:#x}, b_pre={b_pre:#x})" + )); + } + if &b_post != b_pre { + return Err(format!( + "add_cuccaro: b changed {b_pre:#x}->{b_post:#x}" + )); + } + Ok(()) + }, + ); +} + +/// Controlled Cuccaro add with a carry-window hook, taking register +/// slices. Lets callers pass slices that need explicit ordering (e.g. a +/// reversed slot view to operate on a BE-stored region as LE). +pub fn controlled_add_cuccaro_carry_window_refs( + circ: &mut Circuit, + ctrl: &QReg, + a: &[&QReg], + b: &[&QReg], + window_hook: impl FnOnce(&mut Circuit, &QReg), +) { + let n = b.len(); + assert_eq!( + a.len(), + n, + "controlled_add_cuccaro_carry_window_refs: a/b length mismatch" + ); + if n == 0 { + return; + } + if n == 1 { + // carry-out = ctrl AND a[0] AND b[0] (pre-add values). + let cw = circ.alloc_qreg_bits("ccuc_cw1", 1); + mcx_clean_k(circ, &[ctrl, a[0], b[0]], &cw[0]); + window_hook(circ, &cw[0]); + mcx_clean_k(circ, &[ctrl, a[0], b[0]], &cw[0]); + drop(cw); + circ.ccx(ctrl, b[0], a[0]); + return; + } + + let c = circ.alloc_qreg_bits("ccuc_cw_c", 1); + let scratch = circ.alloc_qreg_bits("ccuc_cw_scratch", 1); + let cccx = |circ: &mut Circuit, x: &QReg, y: &QReg, target: &QReg| { + circ.ccx(ctrl, x, &scratch[0]); + circ.ccx(&scratch[0], y, target); + circ.ccx(ctrl, x, &scratch[0]); + }; + + // Forward MAJ cascade. + circ.ccx(ctrl, b[0], a[0]); + circ.ccx(ctrl, b[0], &c[0]); + cccx(circ, &c[0], a[0], b[0]); + for i in 1..n { + circ.ccx(ctrl, b[i], a[i]); + circ.ccx(ctrl, b[i], b[i - 1]); + cccx(circ, b[i - 1], a[i], b[i]); + } + + // Carry window: b[n-1] = ctrl AND (carry into bit n). + window_hook(circ, b[n - 1]); + + // Backward UMA cascade. + for i in (1..n).rev() { + cccx(circ, b[i - 1], a[i], b[i]); + circ.ccx(ctrl, b[i], b[i - 1]); + circ.ccx(ctrl, b[i - 1], a[i]); + } + cccx(circ, &c[0], a[0], b[0]); + drop(scratch); + circ.ccx(ctrl, b[0], &c[0]); + circ.ccx(ctrl, &c[0], a[0]); +} + +/// Pure controlled add (3n CCX): if ctrl=1, a := a + b mod 2^n; else +/// a unchanged. Same semantics as [`controlled_add_cuccaro_mbu`] but +/// uses ~2.7x fewer Toffolis. +/// +/// Semantics: +/// ctrl=1: a := (a + b) mod 2^n +/// ctrl=0: a unchanged +/// b, ctrl preserved in both cases. +/// +/// Construction (same insight as [`crate::point_add::trailmix_port::arith::cuccaro_compare_act:: +/// compare_and_sub_inplace_middle`], adapted to take an external +/// control instead of the captured compare-result): +/// +/// FORWARD MAJ chain (1-qubit ripple, single carry register c=|0>): +/// per bit i: CX(c, b[i]); CX(c, a[i]); CCX(a[i], b[i], c) +/// state post-bit i: +/// a[i] = `a_orig` XOR `c_in_i` +/// b[i] = `b_orig` XOR `c_in_i` +/// c = `c_in_i` XOR `MAJ(c_in_i`, `a_orig`, `b_orig`) = `c_out_i` = `c_in`_{i+1} +/// After all n bits: c = carry-out of (a + b) >> n. +/// Cost: 1 CCX per bit, **n CCX total**. +/// +/// REVERSE pass (gated on ctrl, descending i): +/// CCX(a[i], b[i], c) ; restore c to `c_in_i` (1 CCX) +/// CX(c, a[i]) ; a[i] := `a_orig` (CX) +/// CCX(ctrl, b[i], a[i]); gated: a[i] XOR= `ctrl·b_i` (1 CCX) +/// ctrl=0: no-op → a[i] stays `a_orig` +/// ctrl=1: a[i] := `a_orig` XOR `b_orig` XOR `c_in_i` +/// = `sum_i` ✓ +/// CX(c, b[i]) ; b[i] := `b_orig` (CX) +/// Cost: 2 CCX per bit, **2n CCX total**. +/// +/// c is restored to |0> at the end (initial carry-in was 0, full ripple +/// unwinds to 0). +/// +/// Total: **3n CCX** (vs 8n for `controlled_add_cuccaro_mbu`). +/// +/// Why this works: the forward MAJ leaves b[i] = `b_orig` XOR `c_in_i`, +/// which is exactly the XOR-source needed to complete UMA via a single +/// `CCX(ctrl, b[i], a[i])`. The `CX(c, a)` in the reverse base case +/// unconditionally backs out the `c_in_i` contribution; the gated CCX +/// either adds in (b XOR `c_in`) when ctrl=1 (completing the sum) or +/// adds nothing when ctrl=0 (leaving `a_orig`). +/// +/// Polylog peak: +1 ancilla (the single c qubit), no per-bit allocs. +/// `b` and `ctrl` are preserved. +/// +/// Preconditions: +/// - `a.len()` == `b.len()` == n. +/// - ctrl NOT aliased with a or b (asserts otherwise). +pub fn controlled_add_cuccaro_3n(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let a_refs: Vec<&QReg> = a.iter().collect(); + let b_refs: Vec<&QReg> = b.iter().collect(); + controlled_add_cuccaro_3n_refs(circ, ctrl, &a_refs, &b_refs); +} + +/// Reference-slice variant of [`controlled_add_cuccaro_3n`]. +/// +/// Same semantics (if ctrl=1, a := a+b mod 2^n; else unchanged), and same +/// **3n CCX** cost. Use when the caller already holds borrows (e.g. a +/// reverse-physical view onto an MSB-anchored packed register). +pub fn controlled_add_cuccaro_3n_refs(circ: &mut Circuit, ctrl: &QReg, a: &[&QReg], b: &[&QReg]) { + let n = a.len(); + assert_eq!( + b.len(), + n, + "controlled_add_cuccaro_3n_refs: a/b length mismatch" + ); + + let aliases_a = a.iter().any(|q| std::ptr::eq(*q, ctrl)); + let aliases_b = b.iter().any(|q| std::ptr::eq(*q, ctrl)); + assert!( + !aliases_a, + "controlled_add_cuccaro_3n_refs: ctrl aliases a -- unsupported" + ); + assert!( + !aliases_b, + "controlled_add_cuccaro_3n_refs: ctrl aliases b -- unsupported" + ); + + // PRE: capture (a_pre, b_pre, ctrl_pre). + if n > 0 { + let a_for_capture: Vec<&QReg> = a.to_vec(); + let b_for_capture: Vec<&QReg> = b.to_vec(); + let ctrl_ref = ctrl; + circ.contract_capture( + "mbu.controlled_add_cuccaro_3n.pre", + move |view, shot| -> Result<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint, bool), String> { + let read = |regs: &[&QReg]| -> crate::point_add::trailmix_port::num_bigint::BigUint { + let mut v = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in regs.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + v |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + v + }; + Ok(( + read(&a_for_capture), + read(&b_for_capture), + view.contract_read_bit_shot(ctrl_ref, shot), + )) + }, + ); + } + + if n == 0 { + return; + } + if n == 1 { + // 1-bit case: a[0] ^= ctrl·b[0]. + circ.ccx(ctrl, b[0], a[0]); + controlled_add_cuccaro_3n_post_check_refs(circ, ctrl, a, b); + return; + } + + let c = circ.alloc_qreg("ccuccaro3n_c"); + + // Forward MAJ chain. Single carry register `c` ripples bit-by-bit. + // Per bit i: CX(c, b); CX(c, a); CCX(a, b, c). + for i in 0..n { + circ.cx(&c, b[i]); + circ.cx(&c, a[i]); + circ.ccx(a[i], b[i], &c); + } + + // Reverse pass, descending. Per bit i: + // CCX(a,b,c) -- restore c to c_in_i + // CX(c, a) -- a := a_orig (undo) + // CCX(ctrl, b, a) -- gated: a XOR= ctrl·(b XOR c_in) = ctrl·b_orig XOR ctrl·c_in + // CX(c, b) -- b := b_orig + // + // When ctrl=1, the chained CX(c,a) then CCX(ctrl,b,a) yields + // a_post = a_orig XOR (b_orig XOR c_in) = a_orig XOR b_orig XOR c_in = sum_i. + // When ctrl=0, the CCX is a no-op, so a_post = a_orig. + for i in (0..n).rev() { + circ.ccx(a[i], b[i], &c); + circ.cx(&c, a[i]); + circ.ccx(ctrl, b[i], a[i]); + circ.cx(&c, b[i]); + } + + // c is back to |0> (initial carry-in was 0; ripple fully unwound). + circ.zero_and_free(c); + + controlled_add_cuccaro_3n_post_check_refs(circ, ctrl, a, b); +} + +/// LITERAL gate-by-gate inverse of `controlled_add_cuccaro_3n_refs`. +/// Emits the SAME gates in EXACT REVERSE order — not an algebraically +/// equivalent subtract circuit (like X-sandwich Cuccaro), but the +/// bit-for-bit inverted gate sequence. +/// +/// This matters for drift cancellation in approximate-primitive +/// composition (e.g. Schrottenloher Alg 4's `apply_bitvector` inverse): +/// the forward primitive contributes drift that the X-sandwich form +/// cannot cancel, but the literal gate-inverse DOES cancel exactly. +/// +/// Semantics on a state in the image of forward: takes (`a_post`, b, ctrl) +/// where `a_post` = `a_pre` + ctrl·b, returns (`a_pre`, b, ctrl). Cost +/// matches forward: 3n CCX. +pub fn controlled_add_cuccaro_3n_reverse_refs( + circ: &mut Circuit, + ctrl: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + let n = a.len(); + assert_eq!( + b.len(), + n, + "controlled_add_cuccaro_3n_reverse_refs: a/b length mismatch" + ); + + let aliases_a = a.iter().any(|q| std::ptr::eq(*q, ctrl)); + let aliases_b = b.iter().any(|q| std::ptr::eq(*q, ctrl)); + assert!(!aliases_a, "ctrl aliases a -- unsupported"); + assert!(!aliases_b, "ctrl aliases b -- unsupported"); + + if n == 0 { + return; + } + if n == 1 { + // 1-bit forward is just ccx(ctrl, b[0], a[0]); CCX is self-inverse. + circ.ccx(ctrl, b[0], a[0]); + return; + } + + let c = circ.alloc_qreg("ccuccaro3n_c_rev"); + + // Inverse of the forward's reverse pass (descending, with gate + // order reversed within each bit): + // forward emitted, for i = n-1 down to 0: + // ccx(a,b,c); cx(c,a); ccx(ctrl,b,a); cx(c,b) + // inverse emits, for i = 0 up to n-1: + // cx(c,b); ccx(ctrl,b,a); cx(c,a); ccx(a,b,c) + for i in 0..n { + circ.cx(&c, b[i]); + circ.ccx(ctrl, b[i], a[i]); + circ.cx(&c, a[i]); + circ.ccx(a[i], b[i], &c); + } + + // Inverse of the forward MAJ chain (ascending, gates reversed + // within bit): + // forward emitted, for i = 0 up to n-1: + // cx(c,b); cx(c,a); ccx(a,b,c) + // inverse emits, for i = n-1 down to 0: + // ccx(a,b,c); cx(c,a); cx(c,b) + for i in (0..n).rev() { + circ.ccx(a[i], b[i], &c); + circ.cx(&c, a[i]); + circ.cx(&c, b[i]); + } + + circ.zero_and_free(c); +} + +/// Convenience wrapper: literal gate-inverse of `controlled_add_cuccaro_3n`. +pub fn controlled_add_cuccaro_3n_reverse(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let a_refs: Vec<&QReg> = a.iter().collect(); + let b_refs: Vec<&QReg> = b.iter().collect(); + controlled_add_cuccaro_3n_reverse_refs(circ, ctrl, &a_refs, &b_refs); +} + +/// Post-check for `controlled_add_cuccaro_3n_refs`. +fn controlled_add_cuccaro_3n_post_check_refs( + circ: &mut Circuit, + ctrl: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + let n = a.len(); + let a_for_check: Vec<&QReg> = a.to_vec(); + let b_for_check: Vec<&QReg> = b.to_vec(); + let ctrl_ref = ctrl; + circ.contract_pop_and_check::<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint, bool), _>( + "mbu.controlled_add_cuccaro_3n.pre", + move |cap, view, shot| -> Result<(), String> { + let (a_pre, b_pre, c_pre) = cap; + let read = |regs: &[&QReg]| -> crate::point_add::trailmix_port::num_bigint::BigUint { + let mut v = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in regs.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + v |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + v + }; + let a_post = read(&a_for_check); + let b_post = read(&b_for_check); + let c_post = view.contract_read_bit_shot(ctrl_ref, shot); + let modulus = crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << n; + let addend = if *c_pre { b_pre.clone() } else { crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32) }; + let expected = (a_pre + &addend) % &modulus; + if a_post != expected { + return Err(format!( + "ctrl_add_cuccaro_3n: a_post={:#x}, expected {:#x} (a_pre={:#x}, b_pre={:#x}, ctrl={})", + a_post, expected, a_pre, b_pre, u8::from(*c_pre), + )); + } + if &b_post != b_pre { + return Err(format!("ctrl_add_cuccaro_3n: b changed {b_pre:#x}->{b_post:#x}")); + } + if c_post != *c_pre { + return Err(format!("ctrl_add_cuccaro_3n: ctrl changed {} -> {}", u8::from(*c_pre), u8::from(c_post))); + } + Ok(()) + }, + ); +} + +/// Variant of [`controlled_add_cuccaro`] that, in addition to +/// preserving b[..n-1] as the standard adder does, FREES `b[n-1]` +/// immediately after its last gate-touch inside Cuccaro UMA. +/// Caller asserts (via the free's sim mask check) that b[n-1] +/// was |0> on entry — UMA restores b[n-1] to its input value, so +/// this is the only valid case for consume. +/// +/// Use when the caller's outer loop retires the top bit of the +/// b slice each iteration (e.g. `multi_sub`'s iter j retires b[L-1] +/// where L = slice length for that iter). +pub fn controlled_add_cuccaro_consume_top_b( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + b: &[QReg], +) { + let n = b.len(); + assert_eq!( + a.len(), + n, + "controlled_add_cuccaro_consume_top_b: a/b length mismatch" + ); + if n == 0 { + return; + } + if n == 1 { + // Only one bit — controlled_add of b[0] into a[0]; b[0] is + // unchanged. Caller is expected to drop b[0] after this call. + circ.ccx(ctrl, &b[0], &a[0]); + return; + } + + let c = circ.alloc_qreg_bits("ccuccaro_c", 1); + + // Streaming MBU-AND cccx (same pattern as + // [`controlled_add_cuccaro_mbu`]). + let mbu_cccx = |circ: &mut Circuit, x: &QReg, y: &QReg, target: &QReg| { + let anc = circ.alloc_qreg_bits("ccuccaro_mbu_and", 1); + circ.ccx(ctrl, x, &anc[0]); + circ.ccx(&anc[0], y, target); + let bit = circ.alloc_bit(); + circ.hmr(&anc[0], bit); + circ.cz_if_bit(ctrl, x, bit); + circ.free_bit(bit); + drop(anc); + }; + + circ.ccx(ctrl, &b[0], &a[0]); + circ.ccx(ctrl, &b[0], &c[0]); + mbu_cccx(circ, &c[0], &a[0], &b[0]); + + for i in 1..n { + circ.ccx(ctrl, &b[i], &a[i]); + circ.ccx(ctrl, &b[i], &b[i - 1]); + mbu_cccx(circ, &b[i - 1], &a[i], &b[i]); + } + + // UMA cascade. Caller is expected to drop b[n-1] after this call. + let top = n - 1; + mbu_cccx(circ, &b[top - 1], &a[top], &b[top]); + circ.ccx(ctrl, &b[top], &b[top - 1]); + circ.ccx(ctrl, &b[top - 1], &a[top]); + for i in (1..top).rev() { + mbu_cccx(circ, &b[i - 1], &a[i], &b[i]); + circ.ccx(ctrl, &b[i], &b[i - 1]); + circ.ccx(ctrl, &b[i - 1], &a[i]); + } + mbu_cccx(circ, &c[0], &a[0], &b[0]); + circ.ccx(ctrl, &b[0], &c[0]); + circ.ccx(ctrl, &c[0], &a[0]); +} + +/// Controlled Cuccaro adder with overflow. If ctrl=1: +/// `a_ext`[0..n] ← (a+b) mod 2^n, `a_ext`[n] ← (a+b) div 2^n. +/// If ctrl=0: unchanged. +/// +/// Streaming MBU-AND form (same pattern as +/// [`controlled_add_cuccaro_mbu`]): each cccx (target ^= ctrl·x·y) +/// uses 2 CCX + HMR + `cz_if_bit` instead of 3-CCX clean-anc form. +/// Saves 1 CCX per cccx (2n+1 cccx invocations → ≈2n CCX saved per +/// adder). Polylog peak preserved (per-cccx anc allocated and freed). +pub fn controlled_add_cuccaro_with_overflow( + circ: &mut Circuit, + ctrl: &QReg, + a_ext: &[QReg], + b: &[QReg], +) { + let n = b.len(); + assert!(a_ext.len() > n, "a_ext must have n+1 bits for overflow"); + if n == 0 { + return; + } + let a = &a_ext[..n]; + let ovf = &a_ext[n]; + + if n == 1 { + // if ctrl: ovf ^= a[0]·b[0], a[0] ^= b[0] + let dirty = circ.alloc_qreg_bits("c_ovf_scratch", 1); + mcx_dirty(circ, &[ctrl, &a[0], &b[0]], ovf, &dirty[0]); + circ.ccx(ctrl, &b[0], &a[0]); + return; + } + + let c = circ.alloc_qreg_bits("ccuccaro_c", 1); + + // Streaming MBU-AND cccx: target ^= ctrl AND x AND y. Allocates + // a fresh anc per call, uncomputes via HMR + cz_if_bit. See + // `controlled_add_cuccaro_mbu` for the identity-discharge proof. + let mbu_cccx = |circ: &mut Circuit, x: &QReg, y: &QReg, target: &QReg| { + let anc = circ.alloc_qreg_bits("ccuccaro_mbu_and", 1); + circ.ccx(ctrl, x, &anc[0]); // anc = ctrl AND x + circ.ccx(&anc[0], y, target); // target ^= ctrl·x·y + let bit = circ.alloc_bit(); + circ.hmr(&anc[0], bit); // anc ← 0; obligation logged + circ.cz_if_bit(ctrl, x, bit); // discharge AndOf(ctrl, x) + circ.free_bit(bit); + drop(anc); + }; + + // MAJ cascade. + circ.ccx(ctrl, &b[0], &a[0]); + circ.ccx(ctrl, &b[0], &c[0]); + mbu_cccx(circ, &c[0], &a[0], &b[0]); + for i in 1..n { + circ.ccx(ctrl, &b[i], &a[i]); + circ.ccx(ctrl, &b[i], &b[i - 1]); + mbu_cccx(circ, &b[i - 1], &a[i], &b[i]); + } + + // Capture overflow: b[n-1] currently holds carry_out (post-MAJ). + circ.ccx(ctrl, &b[n - 1], ovf); + + // UMA cascade. + for i in (1..n).rev() { + mbu_cccx(circ, &b[i - 1], &a[i], &b[i]); + circ.ccx(ctrl, &b[i], &b[i - 1]); + circ.ccx(ctrl, &b[i - 1], &a[i]); + } + mbu_cccx(circ, &c[0], &a[0], &b[0]); + circ.ccx(ctrl, &b[0], &c[0]); + circ.ccx(ctrl, &c[0], &a[0]); +} + +/// Cuccaro adder with explicit overflow bit. Receiver first: +/// `a_ext`: n+1 bits with high bit `|0⟩`; receives the sum in the low n bits +/// and the carry-out in `a_ext[n]`. +/// `b`: n bits, preserved addend. +pub fn add_cuccaro_with_overflow(circ: &mut Circuit, a_ext: &[QReg], b: &[QReg]) { + let n = b.len(); + assert!(a_ext.len() > n, "a_ext must have n+1 bits for overflow"); + if n == 0 { + return; + } + let a = &a_ext[..n]; + let ovf = &a_ext[n]; + + if n == 1 { + // 1-bit add with overflow: (a+b) mod 2 stored in a[0]; overflow = a AND b. + // Actually: a[0] ← a[0] XOR b[0], ovf ← a·b. + // Order matters: compute ovf first (using original values). + circ.ccx(&a[0], &b[0], ovf); + circ.cx(&b[0], &a[0]); + return; + } + + let c = circ.alloc_qreg("cuccaro_c"); + + // MAJ cascade. + circ.cx(&b[0], &a[0]); + circ.cx(&b[0], &c); + circ.ccx(&c, &a[0], &b[0]); + for i in 1..n { + circ.cx(&b[i], &a[i]); + circ.cx(&b[i], &b[i - 1]); + circ.ccx(&b[i - 1], &a[i], &b[i]); + } + + // Capture overflow: after MAJ cascade, b[n-1] = carry_n. + circ.cx(&b[n - 1], ovf); + + // UMA cascade. + for i in (1..n).rev() { + circ.ccx(&b[i - 1], &a[i], &b[i]); + circ.cx(&b[i], &b[i - 1]); + circ.cx(&b[i - 1], &a[i]); + } + circ.ccx(&c, &a[0], &b[0]); + circ.cx(&b[0], &c); + circ.cx(&c, &a[0]); + + // c drops here. +} diff --git a/src/point_add/trailmix_port/arith/gidney_const_adder.rs b/src/point_add/trailmix_port/arith/gidney_const_adder.rs new file mode 100644 index 00000000..a20bdb78 --- /dev/null +++ b/src/point_add/trailmix_port/arith/gidney_const_adder.rs @@ -0,0 +1,806 @@ +//! Gidney 2025 classical-quantum constant adder (arXiv:2507.23079), +//! ported via the multi-term ghost discharge API. +//! +//! Adds a classical constant `c` into an `n`-bit register `a` in place +//! using `n-1` BORROWED dirty bits (arbitrary values, restored on exit) +//! and only O(1) clean ancillae. ~3n Toffoli. The dirty bits can be any +//! already-live qubits the add does not touch (e.g. the high bits of the +//! register being added to), so the carry scratch costs ~0 peak qubits. +//! +//! Mechanism. A clean-ancilla ripple would hold all `n-1` carries at +//! once (peak +n). Instead each carry is *measurement-vented* (`hmr_ghost`) +//! as soon as the next is computed, and its value is `XORed` into a dirty +//! bit. The vented carry's deferred phase is corrected by two +//! `Z(dirty[i])` deposits — one before and one after `XORCarries` +//! restores the dirty bit: +//! +//! dirty[i]@before = `dirty_orig`[i] XOR carry_{i+1} +//! dirty[i]@after = `dirty_orig`[i] +//! term1 XOR term2 = carry_{i+1} == the vented value ✓ +//! +//! `ghost_xor_z` accumulates each term's 64-shot sim mask; `close_ghost` +//! requires the accumulated XOR to equal the vented value's mask, so the +//! tracker verifies the cancellation on every shot before clearing the +//! obligation. + +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +fn cbit(c: &[u8], i: usize) -> bool { + let byte = i / 8; + byte < c.len() && (c[byte] >> (i % 8)) & 1 == 1 +} + +/// `a += c (mod 2^n)` using `dirty` (>= n-1 borrowed bits, restored). +pub fn add_const_gidney(circ: &mut Circuit, a: &[QReg], c: &[u8], dirty: &[QReg]) { + let n = a.len(); + if n == 0 { + return; + } + if n == 1 { + if cbit(c, 0) { + circ.x(&a[0]); + } + return; + } + assert!(dirty.len() >= n - 1, "need n-1 borrowed dirty bits"); + let prev = circ.push_section("gidney_const"); + + // ---- Forward vent pass: ripple carries, store carry_{i+1} into + // dirty[i], form the sum in place, vent each clean carry as a ghost. + let mut ghosts: Vec = Vec::with_capacity(n - 1); + let mut cy = circ.alloc_qreg("gc_cy"); // carry_0 = 0 + for i in 0..(n - 1) { + let new = circ.alloc_qreg("gc_carry"); + let anc = circ.alloc_qreg("gc_anc"); + if cbit(c, i) { + circ.x(&anc); + } + circ.cx(&cy, &anc); // anc = c_i XOR carry_i + circ.cx(&cy, &a[i]); // a[i] = a_i XOR carry_i (= t_i) + circ.ccx(&a[i], &anc, &new); // new = t_i AND (c_i XOR carry_i) + circ.cx(&cy, &new); // new = MAJ = carry_{i+1} + circ.cx(&new, &dirty[i]); // dirty[i] ^= carry_{i+1} + circ.cx(&cy, &anc); // restore anc = c_i + if cbit(c, i) { + circ.x(&anc); // anc = 0 + circ.x(&a[i]); // a[i] = sum_i + } + circ.zero_and_free(anc); + + if i > 0 { + ghosts.push(circ.hmr_ghost(&cy)); // vent carry_i + circ.zero_and_free(cy); + } else { + circ.zero_and_free(cy); // carry_0 = 0 + } + cy = new; + } + if cbit(c, n - 1) { + circ.x(&a[n - 1]); + } + circ.cx(&cy, &a[n - 1]); // a[n-1] = sum + ghosts.push(circ.hmr_ghost(&cy)); // vent carry_{n-1} + circ.zero_and_free(cy); + debug_assert_eq!(ghosts.len(), n - 1); + // ghosts[i] vents carry_{i+1}; dirty[i] = dirty_orig[i] XOR carry_{i+1}. + + // ---- Correction term 1: Z(dirty[i]) (= dirty_orig XOR carry_{i+1}). + for i in 0..(n - 1) { + circ.ghost_xor_z(&mut ghosts[i], &dirty[i]); + } + + // ---- Restore the dirty bits: XOR the carries back out. + for q in a { + circ.x(q); + } + xor_carries(circ, a, c, dirty); + for q in a { + circ.x(q); + } + + // ---- Correction term 2: Z(dirty[i]) (= dirty_orig) + close. + for (i, mut g) in ghosts.into_iter().enumerate() { + circ.ghost_xor_z(&mut g, &dirty[i]); + circ.close_ghost(g); // verifies term1 XOR term2 == carry_{i+1} + } + + circ.pop_section(&prev); +} + +/// Controlled `a += ctrl * c (mod 2^n)` using `dirty` (>= n-1 borrowed +/// bits, restored). c-loads are gated on `ctrl`; for `ctrl=0`, `a` is +/// unchanged and all vented carries are 0. Same ghost machinery. +pub fn controlled_add_const_gidney( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + c: &[u8], + dirty: &[QReg], +) { + let ar: Vec<&QReg> = a.iter().collect(); + let dr: Vec<&QReg> = dirty.iter().collect(); + controlled_add_const_gidney_refs(circ, ctrl, &ar, c, &dr); +} + +/// Reference-slice variant of [`controlled_add_const_gidney`]. +pub fn controlled_add_const_gidney_refs( + circ: &mut Circuit, + ctrl: &QReg, + a: &[&QReg], + c: &[u8], + dirty: &[&QReg], +) { + let n = a.len(); + if n == 0 { + return; + } + if n == 1 { + if cbit(c, 0) { + circ.cx(ctrl, a[0]); + } + return; + } + assert!(dirty.len() >= n - 1, "need n-1 borrowed dirty bits"); + let prev = circ.push_section("gidney_cadd"); + + let mut ghosts: Vec = Vec::with_capacity(n - 1); + let mut cy = circ.alloc_qreg("gcc_cy"); + for i in 0..(n - 1) { + let new = circ.alloc_qreg("gcc_carry"); + let anc = circ.alloc_qreg("gcc_anc"); + if cbit(c, i) { + circ.cx(ctrl, &anc); // anc = ctrl*c_i + } + circ.cx(&cy, &anc); + circ.cx(&cy, a[i]); + circ.ccx(a[i], &anc, &new); + circ.cx(&cy, &new); // new = carry_{i+1} + circ.cx(&new, dirty[i]); + circ.cx(&cy, &anc); + if cbit(c, i) { + circ.cx(ctrl, &anc); // anc = 0 + circ.cx(ctrl, a[i]); // a[i] = sum_i + } + circ.zero_and_free(anc); + + if i > 0 { + ghosts.push(circ.hmr_ghost(&cy)); + circ.zero_and_free(cy); + } else { + circ.zero_and_free(cy); + } + cy = new; + } + if cbit(c, n - 1) { + circ.cx(ctrl, a[n - 1]); + } + circ.cx(&cy, a[n - 1]); + ghosts.push(circ.hmr_ghost(&cy)); + circ.zero_and_free(cy); + + for i in 0..(n - 1) { + circ.ghost_xor_z(&mut ghosts[i], dirty[i]); + } + for q in a { + circ.x(q); + } + xor_carries_ctrl_refs(circ, ctrl, a, c, dirty); + for q in a { + circ.x(q); + } + for (i, mut g) in ghosts.into_iter().enumerate() { + circ.ghost_xor_z(&mut g, dirty[i]); + circ.close_ghost(g); + } + circ.pop_section(&prev); +} + +/// Controlled variant of [`xor_carries`]: condition flips gated on `ctrl`. +fn xor_carries_ctrl_refs(circ: &mut Circuit, ctrl: &QReg, a: &[&QReg], c: &[u8], out: &[&QReg]) { + let n = a.len(); + let ccx_cond = |circ: &mut Circuit, c1: &QReg, c2: &QReg, t: &QReg, b0: bool, b1: bool| { + if b0 { + circ.cx(ctrl, c1); + } + if b1 { + circ.cx(ctrl, c2); + } + circ.ccx(c1, c2, t); + if b0 { + circ.cx(ctrl, c1); + } + if b1 { + circ.cx(ctrl, c2); + } + }; + for i in (1..(n - 1)).rev() { + ccx_cond(circ, a[i], out[i - 1], out[i], cbit(c, i), false); + } + for i in 0..(n - 1) { + if cbit(c, i) { + circ.cx(ctrl, out[i]); + } + } + let cin = circ.alloc_qreg("xcc_cin"); + ccx_cond(circ, &cin, a[0], out[0], cbit(c, 0), cbit(c, 0)); + circ.zero_and_free(cin); + for i in 1..(n - 1) { + ccx_cond(circ, a[i], out[i - 1], out[i], cbit(c, i), cbit(c, i)); + } +} + +/// Involutory `XORCarries`: recompute the `n-1` carries of `a + c` (with +/// `a` the complemented sum, per the caller) and XOR them into `out` +/// (= dirty). Composed with the forward `dirty ^= carry`, restores `out`. +fn xor_carries(circ: &mut Circuit, a: &[QReg], c: &[u8], out: &[QReg]) { + let n = a.len(); + let ccx_cond = |circ: &mut Circuit, c1: &QReg, c2: &QReg, t: &QReg, b0: bool, b1: bool| { + if b0 { + circ.x(c1); + } + if b1 { + circ.x(c2); + } + circ.ccx(c1, c2, t); + if b0 { + circ.x(c1); + } + if b1 { + circ.x(c2); + } + }; + for i in (1..(n - 1)).rev() { + ccx_cond(circ, &a[i], &out[i - 1], &out[i], cbit(c, i), false); + } + for i in 0..(n - 1) { + if cbit(c, i) { + circ.x(&out[i]); + } + } + let cin = circ.alloc_qreg("xc_cin"); + ccx_cond(circ, &cin, &a[0], &out[0], cbit(c, 0), cbit(c, 0)); + circ.zero_and_free(cin); + for i in 1..(n - 1) { + ccx_cond(circ, &a[i], &out[i - 1], &out[i], cbit(c, i), cbit(c, i)); + } +} + +/// Restore variant of [`xor_carries`] for the comparator: `out` holds ALL +/// `n` carries `carry_1..carry_n` of `a + c` (XOR'd into `out[0..n]`), and +/// this XORs them back out (re-deriving from `a`). Mirror of `xor_carries` +/// with the carry index extended to `n` (the overflow `carry_n` included). +fn xor_carries_all_refs(circ: &mut Circuit, a: &[&QReg], c: &[u8], out: &[&QReg]) { + let n = a.len(); + let ccx_cond = |circ: &mut Circuit, c1: &QReg, c2: &QReg, t: &QReg, b0: bool, b1: bool| { + if b0 { + circ.x(c1); + } + if b1 { + circ.x(c2); + } + circ.ccx(c1, c2, t); + if b0 { + circ.x(c1); + } + if b1 { + circ.x(c2); + } + }; + for i in (1..n).rev() { + ccx_cond(circ, a[i], out[i - 1], out[i], cbit(c, i), false); + } + for i in 0..n { + if cbit(c, i) { + circ.x(out[i]); + } + } + let cin = circ.alloc_qreg("xca_cin"); + ccx_cond(circ, &cin, a[0], out[0], cbit(c, 0), cbit(c, 0)); + circ.zero_and_free(cin); + for i in 1..n { + ccx_cond(circ, a[i], out[i - 1], out[i], cbit(c, i), cbit(c, i)); + } +} + +/// `out ^= (a >= k)` for a classical constant `k` (n = `a.len()` bits), `a` +/// preserved. The cheap (~3n Toffoli) low-clean-peak Gidney constant +/// comparator: ripple the carry of `a + (2^n - k)` (whose overflow `carry_n` +/// is `1 iff a >= k`) using `n` BORROWED dirty bits (restored) and O(1) +/// clean ancilla, venting each carry via X-basis measurement (Clifford, no +/// Toffoli). Unlike the adder it does NOT form the sum (a is restored each +/// column) and it grabs the overflow carry into `out`. Replaces the +/// O(n log n) `compare_geq_theorem3` for hot-path constant compares. +pub fn compare_geq_const_gidney( + circ: &mut Circuit, + a: &[QReg], + k: &[u8], + out: &QReg, + dirty: &[QReg], +) { + let ar: Vec<&QReg> = a.iter().collect(); + let dr: Vec<&QReg> = dirty.iter().collect(); + compare_geq_const_gidney_refs(circ, &ar, k, out, &dr); +} + +/// Reference-slice variant of [`compare_geq_const_gidney`]. +pub fn compare_geq_const_gidney_refs( + circ: &mut Circuit, + a: &[&QReg], + k: &[u8], + out: &QReg, + dirty: &[&QReg], +) { + let n = a.len(); + // k as integer (n fits in u128 for our small comparator widths). + let kv: u128 = (0..n.min(128)) + .filter(|&i| cbit(k, i)) + .map(|i| 1u128 << i) + .sum(); + if n == 0 { + if kv == 0 { + circ.x(out); + } + return; + } + if kv == 0 { + circ.x(out); // a >= 0 always + return; + } + if kv >= (1u128 << n) { + return; // a < k always; out unchanged + } + // c = 2^n - k (n-bit constant, in [1, 2^n)) + let cv: u128 = (1u128 << n) - kv; + let c: Vec = (0..n.div_ceil(8)).map(|b| (cv >> (8 * b)) as u8).collect(); + assert!( + dirty.len() >= n, + "compare_geq_const_gidney needs n borrowed dirty bits" + ); + + let prev = circ.push_section("cmp_geq_gidney"); + let mut ghosts: Vec = Vec::with_capacity(n); + let mut cy = circ.alloc_qreg("cmpg_cy"); // carry_0 = 0 + for i in 0..n { + let new = circ.alloc_qreg("cmpg_carry"); + let anc = circ.alloc_qreg("cmpg_anc"); + if cbit(&c, i) { + circ.x(&anc); + } + circ.cx(&cy, &anc); // anc = c_i XOR carry_i + circ.cx(&cy, a[i]); // a[i] = t_i = a_i XOR carry_i + circ.ccx(a[i], &anc, &new); // new = t_i AND (c_i XOR carry_i) + circ.cx(&cy, &new); // new = MAJ = carry_{i+1} + circ.cx(&new, dirty[i]); // dirty[i] ^= carry_{i+1} + if i == n - 1 { + circ.cx(&new, out); // grab carry_n = (a >= k) + } + circ.cx(&cy, a[i]); // RESTORE a[i] = a_i (vs adder: forms sum) + circ.cx(&cy, &anc); // restore anc = c_i + if cbit(&c, i) { + circ.x(&anc); + } + circ.zero_and_free(anc); + if i > 0 { + ghosts.push(circ.hmr_ghost(&cy)); // vent carry_i + } + circ.zero_and_free(cy); + cy = new; + } + ghosts.push(circ.hmr_ghost(&cy)); // vent carry_n + circ.zero_and_free(cy); + debug_assert_eq!(ghosts.len(), n); + // ghosts[i] vents carry_{i+1}; dirty[i] = dirty_orig[i] XOR carry_{i+1}. + + for i in 0..n { + circ.ghost_xor_z(&mut ghosts[i], dirty[i]); // term1 = dirty_orig ^ carry_{i+1} + } + xor_carries_all_refs(circ, a, &c, dirty); // restore dirty -> dirty_orig + for (i, mut g) in ghosts.into_iter().enumerate() { + circ.ghost_xor_z(&mut g, dirty[i]); // term2 = dirty_orig + circ.close_ghost(g); // verifies term1 ^ term2 == carry_{i+1} + } + circ.pop_section(&prev); +} + +/// Controlled hybrid TTK-Gidney register adder (Schrottenloher's +/// `ControlledHybridAdder`, itself Gidney 2018 arXiv:1709.06648 Fig.4a fused +/// with the TTK in-place carry trick). Computes `a += ctrl * b (mod 2^n)`; +/// `b` and `ctrl` are preserved. +/// +/// Carries are threaded in place through `b` (TTK), so the only extra qubits +/// are the `vents` measurement-vent ancillae. Each vent ancilla replaces one +/// carry-*uncompute* Toffoli with a measurement (Gidney's measure-and-fixup +/// AND erasure, Fig.3 bottom): the AND `a[i] & b[i]` is computed into the +/// ancilla (1 Toffoli), then erased by an X-basis measurement (`hmr_ghost`) +/// whose phase kickback is cancelled by `CZ(a[i], b[i])` gated on the measured +/// bit (`ghost_xor_cz`). The AND inputs `a[i]`, `b[i]` are untouched between +/// compute (forward step i) and erase (reverse step i), so the CZ targets are +/// alive and `close_ghost` sim-verifies the cancellation on all 64 shots. +/// +/// Total Toffoli = `3n - 2 - vents`, where `vents = min(vents_budget, n-1)`: +/// * `vents = 0` -> TTK/Cuccaro `3n` controlled adder, +/// * `vents = n - 1` -> Gidney `2n` controlled adder. +/// Peak qubits: `+vents` (held between the forward and reverse carry chains). +pub fn controlled_hybrid_add( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + b: &[QReg], + vents_budget: usize, +) { + let aref: Vec<&QReg> = a.iter().collect(); + let bref: Vec<&QReg> = b.iter().collect(); + controlled_hybrid_add_refs(circ, ctrl, &aref, &bref, vents_budget); +} + +/// Refs variant of [`controlled_hybrid_add`] for non-contiguous operand windows +/// (e.g. the shifted/scattered registers in the shrunken-PZ divstep). Identical +/// gate sequence; the vents are freshly-allocated measurement ancillae, so there +/// is no contiguity/borrowed-dirty assumption on `a`/`b`. +pub fn controlled_hybrid_add_refs( + circ: &mut Circuit, + ctrl: &QReg, + a: &[&QReg], + b: &[&QReg], + vents_budget: usize, +) { + let n = a.len(); + assert_eq!(b.len(), n, "controlled_hybrid_add: a, b must match width"); + if n == 0 { + return; + } + if n == 1 { + circ.ccx(ctrl, b[0], a[0]); + return; + } + let vents = vents_budget.min(n - 1); + let prev = circ.push_section("hybrid_cadd"); + + // qarton qr_x = b (addend, carry-threaded), qr_y = a (target). + for i in 1..n { + circ.cx(b[i], a[i]); + } + for i in (1..n - 1).rev() { + circ.cx(b[i], b[i + 1]); + } + + // Forward carry chain. The first `vents` carries land in measurement-vent + // ancillae; the rest are Toffoli'd straight into b. + let mut vent_ancs: Vec> = (0..n - 1).map(|_| None).collect(); + for i in 0..n - 1 { + if i < vents { + let anc = circ.alloc_qreg("hyb_vent"); + circ.ccx(a[i], b[i], &anc); // anc = a[i] & b[i] + circ.cx(&anc, b[i + 1]); + vent_ancs[i] = Some(anc); + } else { + circ.ccx(a[i], b[i], b[i + 1]); + } + } + + // Reverse: write the controlled sum bit, then uncompute each carry. + for i in (0..n - 1).rev() { + circ.ccx(ctrl, b[i + 1], a[i + 1]); // controlled sum bit i+1 + if i < vents { + let anc = vent_ancs[i].take().unwrap(); + circ.cx(&anc, b[i + 1]); // undo the forward cx + // Measure-and-fixup AND erasure: HMR(anc), then CZ(a[i], b[i]). + let mut g = circ.hmr_ghost(&anc); + circ.zero_and_free(anc); + circ.ghost_xor_cz(&mut g, a[i], b[i]); + circ.close_ghost(g); + } else { + circ.ccx(a[i], b[i], b[i + 1]); + } + } + + for i in 1..n - 1 { + circ.cx(b[i], b[i + 1]); + } + circ.ccx(ctrl, b[0], a[0]); + for i in 1..n { + circ.cx(b[i], a[i]); + } + circ.pop_section(&prev); +} + +/// UNCONDITIONAL measurement-vented adder `a += b mod 2^n` (b restored). Same +/// vented carry chain as [`controlled_hybrid_add_refs`] but the sum bits are +/// plain `cx` (no control) -- so it costs ONLY the carry chain: ~n Toffoli at +/// `vents = n-1` (vs Cuccaro's ~2n), using `vents` clean measurement ancillae. +/// Carry-out beyond `a.len()` is dropped (mod 2^n). Internally uses HMR for the +/// vent erasure (self-contained); the call is NOT gate-reversible via +/// `emit_reverse_since` -- hand-reverse if you need its inverse. +pub fn hybrid_add_refs(circ: &mut Circuit, a: &[&QReg], b: &[&QReg], vents_budget: usize) { + let n = a.len(); + assert_eq!(b.len(), n, "hybrid_add: a, b must match width"); + if n == 0 { + return; + } + if n == 1 { + circ.cx(b[0], a[0]); + return; + } + let vents = vents_budget.min(n - 1); + let prev = circ.push_section("hybrid_add"); + for i in 1..n { + circ.cx(b[i], a[i]); + } + for i in (1..n - 1).rev() { + circ.cx(b[i], b[i + 1]); + } + let mut vent_ancs: Vec> = (0..n - 1).map(|_| None).collect(); + for i in 0..n - 1 { + if i < vents { + let anc = circ.alloc_qreg("hyb_vent"); + circ.ccx(a[i], b[i], &anc); + circ.cx(&anc, b[i + 1]); + vent_ancs[i] = Some(anc); + } else { + circ.ccx(a[i], b[i], b[i + 1]); + } + } + for i in (0..n - 1).rev() { + circ.cx(b[i + 1], a[i + 1]); // UNCONDITIONAL sum bit i+1 + if i < vents { + let anc = vent_ancs[i].take().unwrap(); + circ.cx(&anc, b[i + 1]); + let mut g = circ.hmr_ghost(&anc); + circ.zero_and_free(anc); + circ.ghost_xor_cz(&mut g, a[i], b[i]); + circ.close_ghost(g); + } else { + circ.ccx(a[i], b[i], b[i + 1]); + } + } + for i in 1..n - 1 { + circ.cx(b[i], b[i + 1]); + } + circ.cx(b[0], a[0]); // UNCONDITIONAL sum bit 0 + for i in 1..n { + circ.cx(b[i], a[i]); + } + circ.pop_section(&prev); +} + +/// Slice wrapper for [`hybrid_add_refs`]. +pub fn hybrid_add(circ: &mut Circuit, a: &[QReg], b: &[QReg], vents_budget: usize) { + let aref: Vec<&QReg> = a.iter().collect(); + let bref: Vec<&QReg> = b.iter().collect(); + hybrid_add_refs(circ, &aref, &bref, vents_budget); +} + +#[cfg(test)] +mod tests { + use super::*; + use rand::{thread_rng, Rng}; + + #[test] + fn gidney_hybrid_cadd_value_and_phase_clean_n8() { + let n = 8usize; + let mut rng = thread_rng(); + // Exercise pure-TTK (0), mixed, and full-Gidney (n-1) vent budgets. + for &vents in &[0usize, 1, 4, 7, 100] { + let mut circ = Circuit::new(); + let ctrl = circ.alloc_qreg("ctrl"); + let a = circ.alloc_qreg_bits("a", n); + let b = circ.alloc_qreg_bits("b", n); + + let mut a_in = [0u64; 64]; + let mut b_in = [0u64; 64]; + let mut ctrl_in = [0u8; 64]; + for shot in 0..64 { + let cv: u8 = rng.gen::() & 1; + ctrl_in[shot] = cv; + if cv == 1 { + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&ctrl), &[1u8], shot); + } + let av: u64 = rng.gen::() & ((1 << n) - 1); + let bv: u64 = rng.gen::() & ((1 << n) - 1); + a_in[shot] = av; + b_in[shot] = bv; + circ.sim_load_reg_bytes_shot(&a, &av.to_le_bytes(), shot); + circ.sim_load_reg_bytes_shot(&b, &bv.to_le_bytes(), shot); + } + + controlled_hybrid_add(&mut circ, &ctrl, &a, &b, vents); + circ.assert_phase_clean(); + + let mut outs: Vec = vec![ctrl]; + outs.extend(a); + outs.extend(b); + let (sim, det) = circ.destroy_sim(outs); + for shot in 0..64 { + let mut got_a: u64 = 0; + for i in 0..n { + if sim.read_bit_shot(&det[1 + i], shot) == 1 { + got_a |= 1 << i; + } + } + let want = if ctrl_in[shot] == 1 { + (a_in[shot] + b_in[shot]) & ((1 << n) - 1) + } else { + a_in[shot] + }; + assert_eq!(got_a, want, "vents={vents} shot {shot}: a+=ctrl*b"); + let mut got_b: u64 = 0; + for i in 0..n { + if sim.read_bit_shot(&det[1 + n + i], shot) == 1 { + got_b |= 1 << i; + } + } + assert_eq!( + got_b, b_in[shot], + "vents={vents} shot {shot}: b not restored" + ); + } + } + } + + #[test] + fn gidney_const_value_and_phase_clean_n8() { + let n = 8usize; + let mut rng = thread_rng(); + let c: u64 = 0b10110101; + let c_bytes = c.to_le_bytes(); + + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("a", n); + let dirty = circ.alloc_qreg_bits("dirty", n - 1); + + let mut a_in = [0u64; 64]; + let mut d_in = [0u64; 64]; + for shot in 0..64 { + let av: u64 = rng.gen::() & ((1 << n) - 1); + let dv: u64 = rng.gen::() & ((1 << (n - 1)) - 1); + a_in[shot] = av; + d_in[shot] = dv; + circ.sim_load_reg_bytes_shot(&a, &av.to_le_bytes(), shot); + circ.sim_load_reg_bytes_shot(&dirty, &dv.to_le_bytes(), shot); + } + + add_const_gidney(&mut circ, &a, &c_bytes, &dirty); + circ.assert_phase_clean(); + + let mut outs: Vec = Vec::new(); + outs.extend(a); + outs.extend(dirty); + let (sim, det) = circ.destroy_sim(outs); + for shot in 0..64 { + let mut got_a: u64 = 0; + for i in 0..n { + if sim.read_bit_shot(&det[i], shot) == 1 { + got_a |= 1 << i; + } + } + assert_eq!(got_a, (a_in[shot] + c) & ((1 << n) - 1), "shot {shot}: a+c"); + let mut got_d: u64 = 0; + for i in 0..(n - 1) { + if sim.read_bit_shot(&det[n + i], shot) == 1 { + got_d |= 1 << i; + } + } + assert_eq!(got_d, d_in[shot], "shot {shot}: dirty not restored"); + } + } + + #[test] + fn compare_geq_const_gidney_value_and_phase_clean_n8() { + let n = 8usize; + let mut rng = thread_rng(); + for &k in &[1u64, 3, 47, 81, 128, 162, 200, 255] { + let k_bytes = k.to_le_bytes(); + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("a", n); + let dirty = circ.alloc_qreg_bits("dirty", n); // n borrowed dirty + let out = circ.alloc_qreg("out"); + let mut a_in = [0u64; 64]; + let mut d_in = [0u64; 64]; + for shot in 0..64 { + let av: u64 = rng.gen::() & ((1 << n) - 1); + let dv: u64 = rng.gen::() & ((1 << n) - 1); + a_in[shot] = av; + d_in[shot] = dv; + circ.sim_load_reg_bytes_shot(&a, &av.to_le_bytes(), shot); + circ.sim_load_reg_bytes_shot(&dirty, &dv.to_le_bytes(), shot); + } + let ccx0 = circ.ccx_emitted; + let ccz0 = circ.ccz_emitted; + compare_geq_const_gidney(&mut circ, &a, &k_bytes, &out, &dirty); + if k == 81 { + eprintln!( + " compare_geq_const_gidney(n=8) tof={}", + (circ.ccx_emitted - ccx0) + (circ.ccz_emitted - ccz0) + ); + } + circ.assert_phase_clean(); + let mut outs: Vec = Vec::new(); + outs.extend(a); + outs.extend(dirty); + outs.push(out); + let (sim, det) = circ.destroy_sim(outs); + for shot in 0..64 { + let mut got_a: u64 = 0; + for i in 0..n { + if sim.read_bit_shot(&det[i], shot) == 1 { + got_a |= 1 << i; + } + } + assert_eq!(got_a, a_in[shot], "k={k} shot {shot}: a not preserved"); + let mut got_d: u64 = 0; + for i in 0..n { + if sim.read_bit_shot(&det[n + i], shot) == 1 { + got_d |= 1 << i; + } + } + assert_eq!(got_d, d_in[shot], "k={k} shot {shot}: dirty not restored"); + let got_out = sim.read_bit_shot(&det[2 * n], shot); + let want = u8::from(a_in[shot] >= k); + assert_eq!( + got_out, want, + "k={k} shot {shot}: a={} >= {k}? want {want} got {got_out}", + a_in[shot] + ); + } + } + } + + #[test] + fn gidney_controlled_const_value_and_phase_clean_n8() { + let n = 8usize; + let mut rng = thread_rng(); + let c: u64 = 0b01101011; + let c_bytes = c.to_le_bytes(); + + let mut circ = Circuit::new(); + let ctrl = circ.alloc_qreg("ctrl"); + let a = circ.alloc_qreg_bits("a", n); + let dirty = circ.alloc_qreg_bits("dirty", n - 1); + + let mut a_in = [0u64; 64]; + let mut d_in = [0u64; 64]; + let mut ctrl_in = [0u8; 64]; + for shot in 0..64 { + let cv: u8 = rng.gen::() & 1; + ctrl_in[shot] = cv; + if cv == 1 { + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&ctrl), &[1u8], shot); + } + let av: u64 = rng.gen::() & ((1 << n) - 1); + let dv: u64 = rng.gen::() & ((1 << (n - 1)) - 1); + a_in[shot] = av; + d_in[shot] = dv; + circ.sim_load_reg_bytes_shot(&a, &av.to_le_bytes(), shot); + circ.sim_load_reg_bytes_shot(&dirty, &dv.to_le_bytes(), shot); + } + + controlled_add_const_gidney(&mut circ, &ctrl, &a, &c_bytes, &dirty); + circ.assert_phase_clean(); + + let mut outs: Vec = vec![ctrl]; + outs.extend(a); + outs.extend(dirty); + let (sim, det) = circ.destroy_sim(outs); + for shot in 0..64 { + let mut got_a: u64 = 0; + for i in 0..n { + if sim.read_bit_shot(&det[1 + i], shot) == 1 { + got_a |= 1 << i; + } + } + let want = if ctrl_in[shot] == 1 { + (a_in[shot] + c) & ((1 << n) - 1) + } else { + a_in[shot] + }; + assert_eq!(got_a, want, "shot {shot}: ctrl={} a+c", ctrl_in[shot]); + let mut got_d: u64 = 0; + for i in 0..(n - 1) { + if sim.read_bit_shot(&det[1 + n + i], shot) == 1 { + got_d |= 1 << i; + } + } + assert_eq!(got_d, d_in[shot], "shot {shot}: dirty not restored"); + } + } +} diff --git a/src/point_add/trailmix_port/arith/khattar_gidney.rs b/src/point_add/trailmix_port/arith/khattar_gidney.rs new file mode 100644 index 00000000..db0f01de --- /dev/null +++ b/src/point_add/trailmix_port/arith/khattar_gidney.rs @@ -0,0 +1,6958 @@ +//! MBU (measurement-based uncomputation) primitives. +//! +//! Given a qubit q with val(q) = f(alive witnesses), free q cleanly: +//! +//! 1. HMR(q) → classical bit b. Kickback: `(-1)^(val(q)·b)`. +//! 2. Apply a phase gate sequence realising `(-1)^(f·b)`. +//! 3. Free q. +//! +//! Decompositions: +//! +//! | f | phase gates | +//! |---------------------|---------------------------------------------| +//! | 0 (constant) | (nothing; HMR of |0> is trivial) | +//! | x | `z_if_bit(x`, b) | +//! | x AND y | `cz_if_bit(x`, y, b) | +//! | x AND y AND z | `ccz_if_bit(x`, y, z, b) | +//! | x XOR y | `z_if_bit(x`, b); `z_if_bit(y`, b) | +//! | x XOR y XOR z | composed via one intermediate XOR qubit | +//! | x OR y = xy+x+y | composed (xor of AND + xor of copies) | +//! | MAJ(x,y,z) = xy+yz+xz | composed (xor of three AND qubits) | +//! +//! Why the (x XOR y) decomposition is z-of-x-THEN-z-of-y (not ccz): +//! +//! (-1)^((x XOR y)·b) = (-1)^((x+y)·b) = (-1)^(xb) · (-1)^(yb) +//! +//! since in F2 `x XOR y = x+y`, and the product `(-1)^a · (-1)^b` +//! equals `(-1)^(a+b)` with `+` being F2 sum. Each `z_if_bit` applies +//! `(-1)^(q·b)` phase. +//! +//! The tracker must "see" q's identity to match the obligation. +//! For AND/XOR/COPY/AndOf3, the tracker's native transfer functions +//! track through. For OR/MAJ/3XOR we compose via intermediate ancillae +//! so q's `AbsVal` stays representable. + +use crate::point_add::trailmix_port::arith::mcx::{ + mcx_clean_k, mcx_dirty_any_k, mcx_dirty_any_k_consume, mcx_dirty_ladder, +}; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +pub const SUB800_ULS_DIRTY_MCX3_FLAG: &str = "LOWQ_SUB800_ULS_DIRTY_MCX3"; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Sub800UlsDirtyMcx3ProofReport { + pub primitive_basis_states_checked: usize, + pub primitive_dirty_restore_checks: usize, + pub counter_widths_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub changed_widths: usize, + pub baseline_peak_qubits: usize, + pub candidate_peak_qubits: usize, + pub baseline_emitted_ops: usize, + pub candidate_emitted_ops: usize, + pub baseline_emitted_toffoli: usize, + pub candidate_emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Sub800UlsCleanLenderProofReport { + pub counter_widths_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub lender_restore_checks: usize, + pub changed_widths: usize, + pub baseline_peak_qubits: usize, + pub candidate_peak_qubits: usize, + pub baseline_emitted_ops: usize, + pub candidate_emitted_ops: usize, + pub baseline_emitted_toffoli: usize, + pub candidate_emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Sub800UlsFusedTargetProofReport { + pub counter_widths_checked: usize, + pub lender_modes_checked: usize, + pub directions_checked: usize, + pub exhaustive_basis_states_checked: usize, + pub production_counter_width: usize, + pub production_n_iters: usize, + pub production_modes_checked: usize, + pub production_basis_states_per_mode: usize, + pub production_basis_states_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub roundtrip_checks: usize, + pub callback_order_checks: usize, + pub phase_clean_checks: usize, + pub scratch_clean_checks: usize, + pub counter_restore_checks: usize, + pub lender_observation_checks: usize, + pub clean_lender_restore_checks: usize, + pub no_lender_baseline_peak_qubits: usize, + pub no_lender_candidate_peak_qubits: usize, + pub no_lender_baseline_emitted_ops: usize, + pub no_lender_candidate_emitted_ops: usize, + pub no_lender_baseline_emitted_toffoli: usize, + pub no_lender_candidate_emitted_toffoli: usize, + pub clean_lender_baseline_peak_qubits: usize, + pub clean_lender_candidate_peak_qubits: usize, + pub clean_lender_baseline_emitted_ops: usize, + pub clean_lender_candidate_emitted_ops: usize, + pub clean_lender_baseline_emitted_toffoli: usize, + pub clean_lender_candidate_emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Sub800UlsDirectSelectorProofReport { + pub dirty_primitive_basis_states_checked: usize, + pub dirty_primitive_lender_restore_checks: usize, + pub counter_widths_checked: usize, + pub lender_modes_checked: usize, + pub directions_checked: usize, + pub exhaustive_basis_states_checked: usize, + pub production_counter_width: usize, + pub production_n_iters: usize, + pub production_fingerprint_width: usize, + pub production_modes_checked: usize, + pub production_basis_states_checked: usize, + pub basis_states_checked: usize, + pub simulator_equivalence_checks: usize, + pub fingerprint_oracle_checks: usize, + pub unique_fingerprints_checked: usize, + pub selector_mutant_cases_checked: usize, + pub selector_mutant_detections: usize, + pub callback_order_checks: usize, + pub callback_boundary_checks: usize, + pub callback_scratch_lane_checks: usize, + pub phase_clean_checks: usize, + pub cursor_scratch_clean_checks: usize, + pub counter_restore_checks: usize, + pub clean_lender_restore_checks: usize, + pub no_lender_baseline_peak_qubits: usize, + pub no_lender_candidate_peak_qubits: usize, + pub no_lender_baseline_emitted_ops: usize, + pub no_lender_candidate_emitted_ops: usize, + pub no_lender_baseline_emitted_toffoli: usize, + pub no_lender_candidate_emitted_toffoli: usize, + pub clean_lender_baseline_peak_qubits: usize, + pub clean_lender_candidate_peak_qubits: usize, + pub clean_lender_baseline_emitted_ops: usize, + pub clean_lender_candidate_emitted_ops: usize, + pub clean_lender_baseline_emitted_toffoli: usize, + pub clean_lender_candidate_emitted_toffoli: usize, +} + +#[cfg(test)] +use crate::point_add::trailmix_port::arith::{cuccaro::*, mcx::*}; + +// ========================================================================= +// Simple primitives — tracker tracks natively through forward ops. +// ========================================================================= + +// ========================================================================= +// Composed primitives — allocate intermediates so tracker can follow. +// These leave the circuit with no net ancillae (all intermediates freed). +// ========================================================================= + +// and_tree_compute (Bennett-style O(log n)-anc AND reduction) was +// deleted: it's semantically a C^n X operation, and the unified +// primitive `mcx_dirty_any_k` (Theorem 3 recursion) serves the same +// purpose with 1 dirty ancilla instead of O(log n) clean ones. +// Callers pass a `dirty_bank` so the AND compute borrows its dirty +// from alive registers (paper's Theorem 4 pattern). + +// ========================================================================= +// The earlier Expr / compare_geq_const_witness path allocated one qubit +// per expression-tree node (O(depth × log run) peak ancillae, O(n) for +// adversarial constants), so it was removed in favor of +// compare_geq_theorem3 (polylog ancillae; ops are currently O(n^1.58), +// pending the V_2-based Theorem-3 construction). +// ========================================================================= + +#[cfg(test)] +mod tests { + use super::{ + cinc_khattar_gidney, inc_khattar_gidney, kg_prefix_ancilla_count, mcx_clean_k, + xor_and_of_khattar_gidney, KgPrefixAnd, + }; + use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + + // === Negative test: declare_and_of catches mismatched identity === + // + // Compute q = x AND y (value = 1 when x=y=1). + // Then call declare_and_of(q, x, y_wrong) where y_wrong = NOT y. + // sim_mask check should fail and panic. + #[test] + #[should_panic(expected = "declare_and_of")] + fn test_declare_and_of_catches_mismatch() { + let mut circ = Circuit::new(); + let x = circ.alloc_qreg("x"); + let y = circ.alloc_qreg("y"); + circ.x(&x); + circ.x(&y); // x=1, y=1 + let q = circ.alloc_qreg("q"); + circ.ccx(&x, &y, &q); // q = 1 + // y_wrong = NOT y = 0. x AND y_wrong = 0 ≠ q = 1. + let y_wrong = circ.alloc_qreg("y_wrong"); + // Leave y_wrong as |0> (= NOT 1 conceptually). + circ.declare_and_of(&q, &x, &y_wrong); // should panic. + } + + // ===================================================================== + // 1-bit adder / rolling compare tests — DELETED along with the + // underlying primitives (misleading "2q peak" claim on compound + // constant patterns; see git history for the Expr-extended version). + // Theorem 3 (Vandaele 2026, Θ(n) gates + 1 dirty ancilla classical + // comparator) is the real replacement. + // ===================================================================== + + // Expr witness evaluator tests deleted — primitive removed. + + // === Negative test: declare_and3_of catches mismatch === + #[test] + #[should_panic(expected = "declare_and3_of")] + fn test_declare_and3_of_catches_mismatch() { + let mut circ = Circuit::new(); + let x = circ.alloc_qreg("x"); + let y = circ.alloc_qreg("y"); + let z = circ.alloc_qreg("z"); + circ.x(&x); + circ.x(&y); + circ.x(&z); // all 1 + let q = circ.alloc_qreg("q"); + circ.cx(&x, &q); + circ.cx(&y, &q); // q = x XOR y = 0, not x AND y AND z = 1. + circ.declare_and3_of(&q, &x, &y, &z); // should panic. + } + + fn run_inc_khattar_gidney_case(n: usize, a_init: u64) { + let mut circ = Circuit::new(); + let a = (0..n) + .map(|i| circ.alloc_qreg(&format!("a{i}"))) + .collect::>(); + // Use sim_load_reg_bytes_shot to set initial state without emitting X gates. + // Direct X-gate setup would leave X(a[i]) immediately before inc_khattar_gidney's + // own X(a[0]) for n=1 / a_init=1, triggering the redundant-op detector. + { + let mut bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (a_init >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&a, &bytes, 0); + } + inc_khattar_gidney(&mut circ, &a); + let (sim, detached) = circ.destroy_sim(a); + let got: u64 = (0..n) + .map(|i| (sim.qubit_mask(&detached[i]) & 1) << i) + .sum(); + let exp = (a_init + 1) & ((1u64 << n) - 1); + assert_eq!( + got, + exp, + "inc_khattar_gidney n={} a={:0w$b}", + n, + a_init, + w = n + ); + assert_eq!(sim.phase_mask(), 0, "inc_khattar_gidney phase n={}", n); + } + + #[test] + fn inc_khattar_gidney_n1_all() { + for a in 0..(1u64 << 1) { + run_inc_khattar_gidney_case(1, a); + } + } + + #[test] + fn inc_khattar_gidney_n2_all() { + for a in 0..(1u64 << 2) { + run_inc_khattar_gidney_case(2, a); + } + } + + #[test] + fn inc_khattar_gidney_n3_all() { + for a in 0..(1u64 << 3) { + run_inc_khattar_gidney_case(3, a); + } + } + + #[test] + fn inc_khattar_gidney_n4_all() { + for a in 0..(1u64 << 4) { + run_inc_khattar_gidney_case(4, a); + } + } + + #[test] + fn inc_khattar_gidney_n5_all() { + for a in 0..(1u64 << 5) { + run_inc_khattar_gidney_case(5, a); + } + } + + fn run_cinc_khattar_gidney_case(n: usize, ctrl_init: u64, a_init: u64) { + let mut circ = Circuit::new(); + let ctrl = circ.alloc_qreg("ctrl"); + let a = (0..n) + .map(|i| circ.alloc_qreg(&format!("a{i}"))) + .collect::>(); + if ctrl_init == 1 { + circ.x(&ctrl); + } + for i in 0..n { + if (a_init >> i) & 1 == 1 { + circ.x(&a[i]); + } + } + cinc_khattar_gidney(&mut circ, &a, &ctrl); + let mut outputs: Vec = Vec::new(); + outputs.push(ctrl); + outputs.extend(a); + let (sim, detached) = circ.destroy_sim(outputs); + let ctrl_d = &detached[0]; + let a_d = &detached[1..1 + n]; + let got_ctrl = sim.qubit_mask(ctrl_d) & 1; + let got_a: u64 = (0..n).map(|i| (sim.qubit_mask(&a_d[i]) & 1) << i).sum(); + let exp_a = if ctrl_init == 1 { + (a_init + 1) & ((1u64 << n) - 1) + } else { + a_init + }; + assert_eq!(got_ctrl, ctrl_init, "cinc_khattar_gidney ctrl drift n={n}"); + assert_eq!( + got_a, + exp_a, + "cinc_khattar_gidney n={} ctrl={} a={:0w$b}", + n, + ctrl_init, + a_init, + w = n, + ); + assert_eq!(sim.phase_mask(), 0, "cinc_khattar_gidney phase n={}", n); + } + + #[test] + fn cinc_khattar_gidney_n4_all() { + for ctrl in 0..2 { + for a in 0..(1u64 << 4) { + run_cinc_khattar_gidney_case(4, ctrl, a); + } + } + } + + fn run_xor_and_of_khattar_gidney_case(n: usize, bits_init: u64, target_init: u64) { + let mut circ = Circuit::new(); + let bits = (0..n) + .map(|i| circ.alloc_qreg(&format!("b{i}"))) + .collect::>(); + let target = circ.alloc_qreg("target"); + if target_init == 1 { + circ.x(&target); + } + for i in 0..n { + if (bits_init >> i) & 1 == 1 { + circ.x(&bits[i]); + } + } + xor_and_of_khattar_gidney(&mut circ, &bits, &target); + let mut outputs: Vec = Vec::new(); + outputs.push(target); + outputs.extend(bits); + let (sim, detached) = circ.destroy_sim(outputs); + let target_d = &detached[0]; + let bits_d = &detached[1..1 + n]; + let got_target = sim.qubit_mask(target_d) & 1; + let exp_and = if bits_init == (1u64 << n) - 1 { 1 } else { 0 }; + assert_eq!( + got_target, + target_init ^ exp_and, + "xor_and_of_khattar_gidney target n={} bits={:0w$b} target={}", + n, + bits_init, + target_init, + w = n, + ); + for i in 0..n { + let got = sim.qubit_mask(&bits_d[i]) & 1; + let exp = (bits_init >> i) & 1; + assert_eq!( + got, exp, + "xor_and_of_khattar_gidney changed bit {} for n={}", + i, n + ); + } + assert_eq!( + sim.phase_mask(), + 0, + "xor_and_of_khattar_gidney phase n={}", + n + ); + } + + #[test] + fn xor_and_of_khattar_gidney_n6_all() { + for n in 1usize..=6 { + for bits in 0..(1u64 << n) { + for target in 0..2 { + run_xor_and_of_khattar_gidney_case(n, bits, target); + } + } + } + } + + /// Verify `KgPrefixAnd::consume_with_body` yields the correct + /// prefix-AND at every i ∈ [0, n], over random input patterns. + /// Body for the test: `target[i] ^= AND(ctrls)` via `mcx_clean_k` + /// (which handles the 0/1/2-ctrl small cases correctly). + /// + /// Includes a contract that captures bits_init pre-prefix and + /// checks all target[i] post-consume against the classical + /// prefix-AND. + fn run_kg_prefix_and_streaming_case(n: usize, bits_init: u64) { + let mut circ = Circuit::new(); + let q: Vec = (0..n).map(|i| circ.alloc_qreg(&format!("q{i}"))).collect(); + for i in 0..n { + if (bits_init >> i) & 1 == 1 { + circ.x(&q[i]); + } + } + let targets: Vec = (0..=n).map(|i| circ.alloc_qreg(&format!("t{i}"))).collect(); + + // CONTRACT [pre]: capture bits_init. + { + let q_refs_capture: Vec<&QReg> = q.iter().collect(); + circ.contract_capture( + "kg_prefix_and_streaming", + move |view, shot| -> Result { + let mut v = 0u64; + for (i, q) in q_refs_capture.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + v |= 1u64 << i; + } + } + Ok(v) + }, + ); + } + + // Separate target sets for forward + reverse so we can verify + // each direction independently. targets_fwd is written by the + // forward body, targets_rev by the reverse body. + let targets_fwd: Vec = targets; + let targets_rev: Vec = (0..=n) + .map(|i| circ.alloc_qreg(&format!("rt{i}"))) + .collect(); + + let anc_owned = circ.alloc_qreg_bits("kg_pa_anc", kg_prefix_ancilla_count(n)); + let anc_refs: Vec<&QReg> = anc_owned.iter().collect(); + let q_refs: Vec<&QReg> = q.iter().collect(); + + let targets_fwd_refs: Vec<&QReg> = targets_fwd.iter().collect(); + let targets_rev_refs: Vec<&QReg> = targets_rev.iter().collect(); + KgPrefixAnd::new(&q_refs, &anc_refs) + .forward(&mut circ, |c, i, ctrls| { + let ctrl_owned: Vec<&QReg> = ctrls.to_vec(); + mcx_clean_k(c, &ctrl_owned, targets_fwd_refs[i]); + }) + .reverse(&mut circ, |c, i, ctrls| { + let ctrl_owned: Vec<&QReg> = ctrls.to_vec(); + mcx_clean_k(c, &ctrl_owned, targets_rev_refs[i]); + }); + for q in anc_owned { + circ.zero_and_free(q); + } + + // CONTRACT [post]: both targets_fwd[i] and targets_rev[i] must + // equal AND(q[0..i]) — the forward body and reverse body see + // the SAME conditionally-clean ctrls per position. + { + let fwd_refs: Vec<&QReg> = targets_fwd.iter().collect(); + let rev_refs: Vec<&QReg> = targets_rev.iter().collect(); + let n_cap = n; + circ.contract_pop_and_check::( + "kg_prefix_and_streaming", + move |captured, view, shot| -> Result<(), String> { + let bits = *captured; + for i in 0..=n_cap { + let mask_below = if i == 0 { 0 } else { (1u64 << i) - 1 }; + let exp = if (bits & mask_below) == mask_below { + 1u8 + } else { + 0 + }; + let got_fwd = if view.contract_read_bit_shot(fwd_refs[i], shot) { + 1u8 + } else { + 0 + }; + let got_rev = if view.contract_read_bit_shot(rev_refs[i], shot) { + 1u8 + } else { + 0 + }; + if got_fwd != exp { + return Err(format!( + "shot {}: targets_fwd[{}] = {} expected {} (bits={:#x}, n={})", + shot, i, got_fwd, exp, bits, n_cap, + )); + } + if got_rev != exp { + return Err(format!( + "shot {}: targets_rev[{}] = {} expected {} (bits={:#x}, n={})", + shot, i, got_rev, exp, bits, n_cap, + )); + } + } + Ok(()) + }, + ); + } + + let mut outs: Vec = Vec::new(); + outs.extend(targets_fwd); + outs.extend(targets_rev); + outs.extend(q); + let _ = circ.destroy_sim(outs); + } + + #[test] + fn kg_prefix_and_streaming_n6_all() { + for n in 1usize..=6 { + for bits in 0..(1u64 << n) { + run_kg_prefix_and_streaming_case(n, bits); + } + } + } + + #[test] + fn xor_and_of_khattar_gidney_large_samples() { + for &n in &[22usize, 33, 223] { + let samples = [ + (vec![true; n], 0u64, 1u64), + ( + { + let mut v = vec![true; n]; + v[0] = false; + v + }, + 0u64, + 0u64, + ), + ( + { + let mut v = vec![true; n]; + v[n - 1] = false; + v + }, + 1u64, + 1u64, + ), + ]; + for (bits_init, target_init, exp_target) in samples { + let mut circ = Circuit::new(); + let bits = (0..n) + .map(|i| circ.alloc_qreg(&format!("b{i}"))) + .collect::>(); + let target = circ.alloc_qreg("target"); + if target_init == 1 { + circ.x(&target); + } + for i in 0..n { + if bits_init[i] { + circ.x(&bits[i]); + } + } + xor_and_of_khattar_gidney(&mut circ, &bits, &target); + let mut outputs: Vec = Vec::new(); + outputs.push(target); + outputs.extend(bits); + let (sim, detached) = circ.destroy_sim(outputs); + let target_d = &detached[0]; + let bits_d = &detached[1..1 + n]; + let got_target = sim.qubit_mask(target_d) & 1; + assert_eq!( + got_target, exp_target, + "xor_and_of_khattar_gidney large sample failed for n={n}" + ); + for i in 0..n { + let got = sim.qubit_mask(&bits_d[i]) & 1; + let exp = bits_init[i] as u64; + assert_eq!( + got, exp, + "xor_and_of_khattar_gidney changed bit {} for n={}", + i, n + ); + } + assert_eq!( + sim.phase_mask(), + 0, + "xor_and_of_khattar_gidney phase n={}", + n + ); + } + } + } +} + +/// Gidney's n-bit incrementer (ZEROED ancilla variant), as drawn in +/// Vandaele 2026 Fig 8(b) (arXiv:2603.12917 ref [10]). n data bits + n-2 +/// clean ancillae; ancillae end in |0⟩. 2(n-2) CCX + (n-1) CX + (2n-3) X. +/// +/// Convention: a[0] = LSB, a[n-1] = MSB. Requires n ≥ 2. +/// +/// Four slices (per paper page 21 caption): +/// Slice 1: forward CCX ladder anc[0] = a[0]·a[1], anc[k] = anc[k-1]·a[k+1] +/// Slice 2: CX(anc[k-1], a[k+1]) + X(a[k+1]) for k=1..n-2, plus CX(a[0],a[1])+X(a[1]) +/// at the top and CX(anc[n-3], a[n-1]) at the bottom (no X on MSB) +/// Slice 3: reverse CCX ladder (bottom-up) zeroes the ancs using the +/// Bennett identity (anc[k] · `a_pre_slice2_relation` works out) +/// Slice 4: X on every data bit EXCEPT MSB a[n-1] +/// +/// Verified exhaustively for n=6 (all 64 inputs, ancs zeroed) via Python +/// trace. Base case for Vandaele Theorem 4 (Lemma 7 substitutes the ancs +/// with a promise register). + +/// ## Theorem 4 construction (Vandaele 2026, 1-dirty-ancilla INC) +/// +/// Current: `inc_gidney_fig8b` — n-2 CLEAN ancs, Θ(n) gates. DONE. +/// Current: `inc_gidney_fig8b_ctrl` — Lemma 7 (k=1), n-2 CLEAN +/// promise, Θ(n) gates. DONE. +/// Next: Lemma 8 — controlled strong-promise INC with 2⌈√n⌉ +/// promise qubits. Construction via Fig 10 (paper p. 25): +/// split data into k=⌈√n⌉ blocks, 2 rounds alternating odd/ +/// even block-INCs using Lemma 7, with X-flip shuffles on +/// promise markers between rounds. Each block-INC with ♢ +/// promise expands via Eq. 43 triple (+1; +1; -1 on dirty). +/// Next: Theorem 4 — INC with 1 dirty ancilla via Eq. 44 recursion: +/// let α = 2⌈√n⌉, β = n-α, ψ = dirty ancilla +/// 1. X(α) +/// 2. `Lemma8_promise_INC(β`, α as promise) +/// 3. X(α) +/// 4. fan-out CX(α → β, α → ψ) via Eq. 37 +/// 5. X(α) +/// 6. `Lemma8_promise_DEC(β`, α as promise) +/// 7. X(α) +/// 8. fan-out CX(α → β, α → ψ) again +/// 9. INC(α) [recurse; base case: direct n ≤ 3] +/// Final: Corollary 7 wrapper — `conditional_increment(ctrl`, a, p) = +/// INC_{n-p+1}([ctrl, a[p..]]); X(ctrl). Uses Theorem 4 for +/// the inner INC, giving Θ(n) gates + 1 dirty ancilla. + +/// Compute the full prefix-AND ladder for `bits` into `ladder`. +/// +/// Semantics for `bits.len() >= 2`: +/// - `ladder[0] ^= bits[0] & bits[1]` +/// - `ladder[k] ^= ladder[k-1]_pre & bits[k+1]` for `k >= 1` +/// +/// The ladder is a conditionally-clean workspace pattern: callers are +/// expected to run the exact inverse with [`prefix_and_ladder_rev_refs`] to +/// restore it. This is the persistent prefix substrate used by Gidney's +/// Fig. 8(b) incrementer and is also the right shape for a future +/// Khattar-Gidney Section 6.1 producer/consumer ladder. +pub(crate) fn prefix_and_ladder_fwd_refs(circ: &mut Circuit, bits: &[&QReg], ladder: &[&QReg]) { + let n = bits.len(); + assert!(n >= 2, "prefix_and_ladder_fwd: n >= 2"); + assert_eq!( + ladder.len(), + n - 2, + "prefix_and_ladder_fwd: expected {} ladder qubits, got {}", + n - 2, + ladder.len(), + ); + if n == 2 { + return; + } + circ.ccx(bits[0], bits[1], ladder[0]); + for k in 1..(n - 2) { + circ.ccx(ladder[k - 1], bits[k + 1], ladder[k]); + } +} + +/// Exact inverse of [`prefix_and_ladder_fwd_refs`]. +pub(crate) fn prefix_and_ladder_rev_refs(circ: &mut Circuit, bits: &[&QReg], ladder: &[&QReg]) { + let n = bits.len(); + assert!(n >= 2, "prefix_and_ladder_rev: n >= 2"); + assert_eq!( + ladder.len(), + n - 2, + "prefix_and_ladder_rev: expected {} ladder qubits, got {}", + n - 2, + ladder.len(), + ); + if n == 2 { + return; + } + for k in (1..(n - 2)).rev() { + circ.ccx(ladder[k - 1], bits[k + 1], ladder[k]); + } + circ.ccx(bits[0], bits[1], ladder[0]); +} + +/// Reverse only the TOP `r` links of the prefix-AND ladder (highest-index +/// `r` links, top-down). Pairs with [`prefix_and_ladder_partial_fwd_refs`]. +/// The untouched lower links stay live. Used by [`unary_iterate`] to update a +/// big-endian prefix-AND when only the low (= last-entering) bits change. +pub(crate) fn prefix_and_ladder_partial_rev_refs( + circ: &mut Circuit, + bits: &[&QReg], + ladder: &[&QReg], + r: usize, +) { + let nlinks = ladder.len(); + let r = r.min(nlinks); + for k in (nlinks - r..nlinks).rev() { + if k == 0 { + circ.ccx(bits[0], bits[1], ladder[0]); + } else { + circ.ccx(ladder[k - 1], bits[k + 1], ladder[k]); + } + } +} + +/// Forward (recompute) only the TOP `r` links of the prefix-AND ladder, +/// bottom-up. Inverse of [`prefix_and_ladder_partial_rev_refs`]. +pub(crate) fn prefix_and_ladder_partial_fwd_refs( + circ: &mut Circuit, + bits: &[&QReg], + ladder: &[&QReg], + r: usize, +) { + let nlinks = ladder.len(); + let r = r.min(nlinks); + for k in nlinks - r..nlinks { + if k == 0 { + circ.ccx(bits[0], bits[1], ladder[0]); + } else { + circ.ccx(ladder[k - 1], bits[k + 1], ladder[k]); + } + } +} + +/// Unary iteration: for `i in 0..n_iters`, run `body(circ, i, gate)` where +/// `gate = (c == i)` is a freshly computed 1-qubit control, live during the +/// body and uncomputed right after. The n-bit little-endian counter `c` is +/// restored to its input value `v` on exit. +/// +/// Cost: a single big-endian linear prefix-AND is built once; between steps +/// only the low bits of `c` change (gray-code update `c ^= i^(i+1)`), so the +/// prefix-AND is patched by partial reverse/forward of just the affected top +/// links. Amortized ~2 CCX/step for the patch + 2 CCX/step for the `gate` +/// detect, vs ~2n CCX/step for a full equality-MCX per step. See +/// `notes/live_intermediate_and_unary.md`. +/// +/// PRECONDITION: `n_iters >= 1` and `n_iters <= 2^n`. For `v >= n_iters` the +/// gate never fires (v out of range); for `v < n_iters` it fires once, at `i = v`. +pub fn unary_iterate(circ: &mut Circuit, c: &[&QReg], n_iters: usize, mut body: F) +where + F: FnMut(&mut Circuit, usize, &QReg), +{ + let n = c.len(); + assert!(n >= 2, "unary_iterate: need n >= 2 counter bits"); + assert!(n_iters >= 1, "unary_iterate: n_iters >= 1"); + assert!( + n >= 63 || n_iters <= (1usize << n), + "unary_iterate: n_iters {n_iters} exceeds 2^{n}" + ); + + // Big-endian bit order: bits_be[j] = c[n-1-j]. The LSB c[0] is the separate + // final control (= bits_be[n-1]); flipping it touches NO ladder link. + let bits_be: Vec<&QReg> = c.iter().rev().copied().collect(); + + // setup: c ^= all_ones => c = ~v. + for q in c { + circ.x(q); + } + let ladder_owned = circ.alloc_qreg_bits("unary_ladder", n - 2); + let ladder: Vec<&QReg> = ladder_owned.iter().collect(); + prefix_and_ladder_fwd_refs(circ, &bits_be, &ladder); + + // `top` = AND(c[1..n]); full all-ones = top & c[0]. + let top: &QReg = if ladder.is_empty() { + bits_be[0] + } else { + ladder[ladder.len() - 1] + }; + let c0 = c[0]; + let gate = circ.alloc_qreg("unary_gate"); + + for i in 0..n_iters { + // gate = (c == all_ones) = (~v ^ i == ~0) = (v == i). + circ.ccx(top, c0, &gate); + body(circ, i, &gate); + circ.ccx(top, c0, &gate); // uncompute gate + + if i + 1 < n_iters { + let m = i ^ (i + 1); // low-contiguous run of b bits (= 2^b - 1) + let b = m.count_ones() as usize; + // c[0] is the separate final control; c[1..b-1] live in the top + // (b-1) ladder links. Patch them. + let r = b.saturating_sub(1); + prefix_and_ladder_partial_rev_refs(circ, &bits_be, &ladder, r); + for j in 0..b.min(n) { + circ.x(c[j]); // c[0..b-1] ^= m + } + prefix_and_ladder_partial_fwd_refs(circ, &bits_be, &ladder, r); + } + } + + circ.zero_and_free(gate); + prefix_and_ladder_rev_refs(circ, &bits_be, &ladder); // uncompute ladder + drop(ladder); + for q in ladder_owned { + circ.zero_and_free(q); + } + + // restore c = v: current c = ~v ^ (n_iters-1); XOR ~(n_iters-1). + let last = n_iters - 1; + for (j, q) in c.iter().enumerate() { + if (last >> j) & 1 == 0 { + circ.x(q); + } + } +} + +/// Lowest layer index whose ops reference ANY of `qubits` (by pointer). +/// `usize::MAX` if none touch it. Used to bound the gray-code partial rewind: +/// reverse layers `[k..]` (which undoes, top-down, every CCX that consumed the +/// changed bits + the conditionally-clean ancillae built on them) before +/// flipping, then re-run `[k..]` forward. +fn lowest_layer_touching(layers: &[KgPrefixLayer], qubits: &[&QReg]) -> usize { + let mut k = usize::MAX; + for (i, layer) in layers.iter().enumerate() { + let hit = layer.ops.iter().any(|op| match op { + KgPrefixOp::X(q) => qubits.iter().any(|cq| std::ptr::eq(*cq, *q)), + KgPrefixOp::Ccx(a, b, t) => qubits + .iter() + .any(|cq| std::ptr::eq(*cq, *a) || std::ptr::eq(*cq, *b) || std::ptr::eq(*cq, *t)), + }); + if hit { + k = k.min(i); + break; // layers only touch a bit at/after its entry; first hit is the lowest + } + } + k +} + +/// Same contract as [`unary_iterate`] but on the Khattar-Gidney LOG\* prefix-AND +/// (`kg_prefix_ancilla_count(n-1)` ≈ log\*(n) ancillae) instead of the linear +/// `prefix_and_ladder` (n-2). The all-ones detector `(c == i)` is `AND(top-prefix) +/// AND c[0]`; between steps the gray-code `i^(i+1)` (a contiguous LSB run) is +/// applied by PARTIAL-rewinding only the KG layer suffix that touches the changed +/// bits: reverse `[k..]`, flip, forward `[k..]`. `n-1` counter bits feed the +/// prefix-AND (the top), `c[0]` is the separate final control. +pub fn unary_iterate_log_star(circ: &mut Circuit, c: &[&QReg], n_iters: usize, body: F) +where + F: FnMut(&mut Circuit, usize, &QReg), +{ + unary_iterate_log_star_with_clean_lender(circ, c, n_iters, None, body); +} + +/// Variant of [`unary_iterate_log_star`] that may append one caller-owned +/// clean lane to the Khattar-Gidney prefix workspace. The caller must keep the +/// lender disjoint from the callback and preserve it at zero across the call. +pub fn unary_iterate_log_star_with_clean_lender( + circ: &mut Circuit, + c: &[&QReg], + n_iters: usize, + clean_lender: Option<&QReg>, + mut body: F, +) +where + F: FnMut(&mut Circuit, usize, &QReg), +{ + let n = c.len(); + assert!(n >= 2, "unary_iterate_log_star: need n >= 2 counter bits"); + assert!(n_iters >= 1, "unary_iterate_log_star: n_iters >= 1"); + assert!( + n >= 63 || n_iters <= (1usize << n), + "unary_iterate_log_star: n_iters {n_iters} exceeds 2^{n}" + ); + + // c ^= all_ones => c = ~v, so (c == all_ones) == (v == i). + for q in c { + circ.x(q); + } + let bits_be: Vec<&QReg> = c.iter().rev().copied().collect(); // [c[n-1] .. c[0]] + let c0 = c[0]; // = bits_be[n-1], separate final control + let nb = n - 1; // prefix-AND over the top nb bits = AND(c[1..n]) + let gate = circ.alloc_qreg("uls_gate"); + + if nb == 1 { + assert!( + clean_lender.is_none(), + "unary_iterate_log_star: two-bit counters need no prefix lender" + ); + // top = bits_be[0] = c[n-1]; gate = top AND c0. + let top = bits_be[0]; + for i in 0..n_iters { + circ.ccx(top, c0, &gate); + body(circ, i, &gate); + circ.ccx(top, c0, &gate); + if i + 1 < n_iters { + let b = (i ^ (i + 1)).count_ones() as usize; + for j in 0..b.min(n) { + circ.x(c[j]); + } + } + } + circ.zero_and_free(gate); + } else { + let pa_bits: Vec<&QReg> = bits_be[0..nb].to_vec(); + let ancilla_count = kg_prefix_ancilla_count(nb); + assert!(ancilla_count > 0); + if let Some(lender) = clean_lender { + assert!(c.iter().all(|lane| lane.id() != lender.id())); + assert_ne!(gate.id(), lender.id()); + } + let anc_owned = circ.alloc_qreg_bits( + "uls_anc", + ancilla_count - usize::from(clean_lender.is_some()), + ); + let mut anc: Vec<&QReg> = anc_owned.iter().collect(); + anc.extend(clean_lender); + assert_eq!(anc.len(), ancilla_count); + let layers = kg_get_layers_for_prefix_and(&pa_bits, &anc); + // forward: compute the prefix-AND (held in the conditionally-clean ancs). + for layer in &layers { + for &op in &layer.ops { + op.emit(circ); + } + } + // all-ones detector = AND(layers[nb].ctrls) (the full prefix at position nb). + let base: Vec<&QReg> = layers[nb].ctrls.clone(); + for i in 0..n_iters { + // gate = AND(base) AND c0 = (c == all_ones) = (v == i). + let mut gc: Vec<&QReg> = base.clone(); + gc.push(c0); + let dirty_mcx3 = std::env::var(SUB800_ULS_DIRTY_MCX3_FLAG) + .ok() + .as_deref() + == Some("1") + && gc.len() == 3; + let dirty = if dirty_mcx3 { + anc.iter().copied().find(|candidate| { + gc.iter() + .all(|control| control.id() != candidate.id()) + }) + } else { + None + }; + if let Some(dirty) = dirty { + mcx_dirty_any_k(circ, &gc, &gate, dirty); + } else { + mcx_clean_k(circ, &gc, &gate); + } + body(circ, i, &gate); + if let Some(dirty) = dirty { + mcx_dirty_any_k(circ, &gc, &gate, dirty); + } else { + mcx_clean_k(circ, &gc, &gate); + } + if i + 1 < n_iters { + let b = (i ^ (i + 1)).count_ones() as usize; + // changed counter bits c[0..b-1]: c[0]=c0 (separate), c[1..b-1] = bits_be[n-1-j]. + let changed_pa: Vec<&QReg> = (1..b.min(n)).map(|j| bits_be[n - 1 - j]).collect(); + let k = lowest_layer_touching(&layers, &changed_pa); + if k != usize::MAX { + for layer in layers[k..].iter().rev() { + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + } + for j in 0..b.min(n) { + circ.x(c[j]); // flip changed bits (c0 + the prefix bits) + } + if k != usize::MAX { + for layer in &layers[k..] { + for &op in &layer.ops { + op.emit(circ); + } + } + } + } + } + circ.zero_and_free(gate); + // reverse all layers (uncompute the prefix-AND). + for layer in layers.iter().rev() { + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + for q in anc_owned { + circ.zero_and_free(q); + } + } + + // restore c = v: current c = ~v ^ (n_iters-1); XOR ~(n_iters-1). + let last = n_iters - 1; + for (j, q) in c.iter().enumerate() { + if (last >> j) & 1 == 0 { + circ.x(q); + } + } +} + +/// Unary iteration specialized for a callback whose only use of the equality +/// flag is to toggle an existing target before or after the callback body. +/// This removes the dedicated `uls_gate` lane and one equality uncompute. +pub fn unary_iterate_log_star_toggle_target_with_clean_lender( + circ: &mut Circuit, + c: &[&QReg], + n_iters: usize, + clean_lender: Option<&QReg>, + target: &QReg, + toggle_before_body: bool, + body: F, +) +where + F: FnMut(&mut Circuit, usize), +{ + let clean_lenders: Vec<&QReg> = clean_lender.into_iter().collect(); + unary_iterate_log_star_toggle_target_with_clean_lenders( + circ, + c, + n_iters, + &clean_lenders, + target, + toggle_before_body, + body, + ); +} + +/// Multi-lender form of +/// [`unary_iterate_log_star_toggle_target_with_clean_lender`]. Every lender +/// must be clean, pairwise disjoint, and untouched by the callback. All are +/// restored to zero before this function returns. +pub fn unary_iterate_log_star_toggle_target_with_clean_lenders( + circ: &mut Circuit, + c: &[&QReg], + n_iters: usize, + clean_lenders: &[&QReg], + target: &QReg, + toggle_before_body: bool, + mut body: F, +) +where + F: FnMut(&mut Circuit, usize), +{ + let n = c.len(); + assert!(n >= 2, "unary_iterate_log_star: need n >= 2 counter bits"); + assert!(n_iters >= 1, "unary_iterate_log_star: n_iters >= 1"); + assert!( + n >= 63 || n_iters <= (1usize << n), + "unary_iterate_log_star: n_iters {n_iters} exceeds 2^{n}" + ); + assert!(c.iter().all(|lane| lane.id() != target.id())); + for (index, lender) in clean_lenders.iter().copied().enumerate() { + assert!(c.iter().all(|lane| lane.id() != lender.id())); + assert_ne!(target.id(), lender.id()); + assert!(clean_lenders[..index] + .iter() + .all(|other| other.id() != lender.id())); + } + + for q in c { + circ.x(q); + } + let bits_be: Vec<&QReg> = c.iter().rev().copied().collect(); + let c0 = c[0]; + let nb = n - 1; + + if nb == 1 { + assert!( + clean_lenders.is_empty(), + "unary_iterate_log_star: two-bit counters need no prefix lender" + ); + let top = bits_be[0]; + for i in 0..n_iters { + if toggle_before_body { + circ.ccx(top, c0, target); + } + body(circ, i); + if !toggle_before_body { + circ.ccx(top, c0, target); + } + if i + 1 < n_iters { + let b = (i ^ (i + 1)).count_ones() as usize; + for j in 0..b.min(n) { + circ.x(c[j]); + } + } + } + } else { + let pa_bits: Vec<&QReg> = bits_be[0..nb].to_vec(); + let ancilla_count = kg_prefix_ancilla_count(nb); + assert!(ancilla_count > 0); + assert!( + clean_lenders.len() <= ancilla_count, + "unary_iterate_log_star: {} clean lenders exceed {ancilla_count} prefix lanes", + clean_lenders.len() + ); + let anc_owned = circ.alloc_qreg_bits( + "uls_anc", + ancilla_count - clean_lenders.len(), + ); + let mut anc: Vec<&QReg> = anc_owned.iter().collect(); + anc.extend(clean_lenders.iter().copied()); + assert_eq!(anc.len(), ancilla_count); + assert!(anc.iter().all(|lane| lane.id() != target.id())); + let layers = kg_get_layers_for_prefix_and(&pa_bits, &anc); + for layer in &layers { + for &op in &layer.ops { + op.emit(circ); + } + } + let base: Vec<&QReg> = layers[nb].ctrls.clone(); + for i in 0..n_iters { + let mut gc: Vec<&QReg> = base.clone(); + gc.push(c0); + let dirty_mcx3 = std::env::var(SUB800_ULS_DIRTY_MCX3_FLAG) + .ok() + .as_deref() + == Some("1") + && gc.len() == 3; + let dirty = if dirty_mcx3 { + anc.iter().copied().find(|candidate| { + gc.iter() + .all(|control| control.id() != candidate.id()) + }) + } else { + None + }; + if toggle_before_body { + if let Some(dirty) = dirty { + mcx_dirty_any_k(circ, &gc, target, dirty); + } else { + mcx_clean_k(circ, &gc, target); + } + } + body(circ, i); + if !toggle_before_body { + if let Some(dirty) = dirty { + mcx_dirty_any_k(circ, &gc, target, dirty); + } else { + mcx_clean_k(circ, &gc, target); + } + } + if i + 1 < n_iters { + let b = (i ^ (i + 1)).count_ones() as usize; + let changed_pa: Vec<&QReg> = + (1..b.min(n)).map(|j| bits_be[n - 1 - j]).collect(); + let k = lowest_layer_touching(&layers, &changed_pa); + if k != usize::MAX { + for layer in layers[k..].iter().rev() { + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + } + for j in 0..b.min(n) { + circ.x(c[j]); + } + if k != usize::MAX { + for layer in &layers[k..] { + for &op in &layer.ops { + op.emit(circ); + } + } + } + } + } + for layer in layers.iter().rev() { + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + for q in anc_owned { + circ.zero_and_free(q); + } + } + + let last = n_iters - 1; + for (j, q) in c.iter().enumerate() { + if (last >> j) & 1 == 0 { + circ.x(q); + } + } +} + +/// Unary iteration with no selector-owned workspace. The caller supplies a +/// clean v-chain that is restored before every callback and after every +/// equality toggle. This is useful when the callback already owns a clean +/// cursor workspace large enough for the counter equality. +pub fn unary_iterate_direct_toggle_target_with_clean_scratch( + circ: &mut Circuit, + c: &[&QReg], + n_iters: usize, + clean_scratch: &[&QReg], + target: &QReg, + toggle_before_body: bool, + mut body: F, +) +where + F: FnMut(&mut Circuit, usize), +{ + let n = c.len(); + assert!(n >= 2, "direct unary iteration needs at least two counter bits"); + assert!(n_iters >= 1, "direct unary iteration needs at least one step"); + assert!( + n >= 63 || n_iters <= (1usize << n), + "direct unary iteration exceeds the counter range" + ); + assert!(clean_scratch.len() >= n.saturating_sub(2)); + assert!(c.iter().all(|lane| lane.id() != target.id())); + for (index, lane) in clean_scratch.iter().take(n - 2).enumerate() { + assert!(c.iter().all(|control| control.id() != lane.id())); + assert_ne!(lane.id(), target.id()); + assert!( + clean_scratch[..index] + .iter() + .all(|other| other.id() != lane.id()) + ); + } + + let toggle = |circ: &mut Circuit| match c.len() { + 0 => unreachable!(), + 1 => circ.cx(c[0], target), + 2 => circ.ccx(c[0], c[1], target), + count => { + circ.ccx(c[0], c[1], clean_scratch[0]); + for index in 2..count - 1 { + circ.ccx( + c[index], + clean_scratch[index - 2], + clean_scratch[index - 1], + ); + } + circ.ccx(c[count - 1], clean_scratch[count - 3], target); + for index in (2..count - 1).rev() { + circ.ccx( + c[index], + clean_scratch[index - 2], + clean_scratch[index - 1], + ); + } + circ.ccx(c[0], c[1], clean_scratch[0]); + } + }; + + // c = !value at step zero. Binary increment toggles exactly the trailing + // run encoded by i^(i+1), so all c bits are one precisely when value=i. + for lane in c { + circ.x(lane); + } + for index in 0..n_iters { + if toggle_before_body { + toggle(circ); + } + body(circ, index); + if !toggle_before_body { + toggle(circ); + } + if index + 1 < n_iters { + let changed = (index ^ (index + 1)).count_ones() as usize; + for lane in c.iter().take(changed.min(n)) { + circ.x(lane); + } + } + } + let last = n_iters - 1; + for (index, lane) in c.iter().enumerate() { + if (last >> index) & 1 == 0 { + circ.x(lane); + } + } +} + +/// Nine-bit direct unary selector with seven restored dirty lenders. The +/// selector owns no fresh qubits, assumes no lender starts at zero, and +/// restores every lender before the callback. +pub fn unary_iterate_direct_toggle_target_with_dirty_scratch( + circ: &mut Circuit, + c: &[&QReg], + n_iters: usize, + dirty: &[&QReg], + target: &QReg, + toggle_before_body: bool, + mut body: F, +) where + F: FnMut(&mut Circuit, usize), +{ + assert_eq!(c.len(), 9, "dirty direct selector is sealed to nine bits"); + assert!(n_iters >= 1 && n_iters <= (1usize << c.len())); + assert!(dirty.len() >= 7); + + let mut ids = Vec::new(); + for lane in c + .iter() + .copied() + .chain(std::iter::once(target)) + .chain(dirty[..7].iter().copied()) + { + assert!(!ids.contains(&lane.id()), "dirty selector lane alias"); + ids.push(lane.id()); + } + + let toggle = |circ: &mut Circuit| { + mcx_dirty_ladder(circ, c, target, &dirty[..7]); + }; + + for lane in c { + circ.x(lane); + } + for index in 0..n_iters { + if toggle_before_body { + toggle(circ); + } + body(circ, index); + if !toggle_before_body { + toggle(circ); + } + if index + 1 < n_iters { + let changed = (index ^ (index + 1)).count_ones() as usize; + for lane in c.iter().take(changed.min(c.len())) { + circ.x(lane); + } + } + } + let last = n_iters - 1; + for (index, lane) in c.iter().enumerate() { + if (last >> index) & 1 == 0 { + circ.x(lane); + } + } +} + +/// Map a raw unary-selector callback to the work-register index used by the +/// production forward/reverse scans. Both directions emit one sentinel +/// callback outside `scan_width`; callers must not execute the body for it. +pub(crate) fn sub800_uls_production_callback_index( + physical_work_width: usize, + scan_width: usize, + truncated: bool, + reverse: bool, + callback_index: usize, +) -> Option { + assert!(scan_width <= physical_work_width); + let callback_limit = if truncated { + scan_width + } else { + physical_work_width + }; + assert!(callback_index <= callback_limit); + let work_index = if reverse { + callback_limit - callback_index + } else { + callback_index + }; + (work_index < scan_width).then_some(work_index) +} + +struct Sub800UlsProofEnvironment { + dirty_mcx3: Option, +} + +impl Sub800UlsProofEnvironment { + fn capture() -> Self { + Self { + dirty_mcx3: std::env::var_os(SUB800_ULS_DIRTY_MCX3_FLAG), + } + } +} + +impl Drop for Sub800UlsProofEnvironment { + fn drop(&mut self) { + if let Some(value) = self.dirty_mcx3.take() { + std::env::set_var(SUB800_ULS_DIRTY_MCX3_FLAG, value); + } else { + std::env::remove_var(SUB800_ULS_DIRTY_MCX3_FLAG); + } + } +} + +struct Sub800UlsProofHarness { + builder: crate::point_add::B, + external_ids: Vec, + external_mask: u64, +} + +fn build_sub800_uls_proof_harness( + counter_width: usize, + n_iters: usize, + dirty_mcx3: bool, +) -> Sub800UlsProofHarness { + if dirty_mcx3 { + std::env::set_var(SUB800_ULS_DIRTY_MCX3_FLAG, "1"); + } else { + std::env::remove_var(SUB800_ULS_DIRTY_MCX3_FLAG); + } + + let mut circ = Circuit::new(); + let counter = circ.alloc_qreg_bits("sub800.uls-proof.counter", counter_width); + let result = circ.alloc_qreg_bits("sub800.uls-proof.result", 4); + let fired = circ.alloc_qreg("sub800.uls-proof.fired"); + let counter_refs: Vec<&QReg> = counter.iter().collect(); + let result_refs: Vec<&QReg> = result.iter().collect(); + unary_iterate_log_star(&mut circ, &counter_refs, n_iters, |circ, i, gate| { + circ.cx(gate, &fired); + for (bit, target) in result_refs.iter().enumerate() { + if (i >> bit) & 1 != 0 { + circ.cx(gate, target); + } + } + }); + drop(counter_refs); + drop(result_refs); + + let external_ids: Vec = counter + .iter() + .chain(result.iter()) + .chain(std::iter::once(&fired)) + .map(QReg::id) + .collect(); + let external_mask = external_ids + .iter() + .fold(0u64, |mask, id| mask | (1u64 << id)); + let builder = circ.into_builder(); + assert_eq!(builder.active_qubits as usize, external_ids.len()); + assert!(builder.next_qubit <= 64); + Sub800UlsProofHarness { + builder, + external_ids, + external_mask, + } +} + +fn build_sub800_uls_clean_lender_proof_harness( + counter_width: usize, + n_iters: usize, + use_clean_lender: bool, +) -> Sub800UlsProofHarness { + std::env::set_var(SUB800_ULS_DIRTY_MCX3_FLAG, "1"); + + let mut circ = Circuit::new(); + // Keep the lender live in both circuits so the comparison measures + // replacement of one owned ULS ancilla, not allocation of a fresh lane. + let lender = circ.alloc_qreg("sub800.uls-clean-lender-proof.lender"); + let counter = circ.alloc_qreg_bits("sub800.uls-clean-lender-proof.counter", counter_width); + let result = circ.alloc_qreg_bits("sub800.uls-clean-lender-proof.result", 4); + let fired = circ.alloc_qreg("sub800.uls-clean-lender-proof.fired"); + let counter_refs: Vec<&QReg> = counter.iter().collect(); + let result_refs: Vec<&QReg> = result.iter().collect(); + unary_iterate_log_star_with_clean_lender( + &mut circ, + &counter_refs, + n_iters, + use_clean_lender.then_some(&lender), + |circ, i, gate| { + circ.cx(gate, &fired); + for (bit, target) in result_refs.iter().enumerate() { + if (i >> bit) & 1 != 0 { + circ.cx(gate, target); + } + } + }, + ); + drop(counter_refs); + drop(result_refs); + circ.zero_and_free(lender); + + let external_ids: Vec = counter + .iter() + .chain(result.iter()) + .chain(std::iter::once(&fired)) + .map(QReg::id) + .collect(); + let external_mask = external_ids + .iter() + .fold(0u64, |mask, id| mask | (1u64 << id)); + let builder = circ.into_builder(); + assert_eq!(builder.active_qubits as usize, external_ids.len()); + assert!(builder.next_qubit <= 64); + Sub800UlsProofHarness { + builder, + external_ids, + external_mask, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Sub800UlsFusedTargetProofMode { + Forward, + Reverse, +} + +struct Sub800UlsFusedTargetProofHarness { + builder: crate::point_add::B, + external_ids: Vec, + external_mask: u64, + lender_id: u32, + callback_order: Vec, +} + +fn emit_sub800_uls_guard_scan( + circ: &mut Circuit, + counter: &[&QReg], + n_iters: usize, + lender: Option<&QReg>, + active: &QReg, + result: &[&QReg], + fused_target: bool, + reverse: bool, + callback_order: &mut Vec, +) { + if fused_target { + unary_iterate_log_star_toggle_target_with_clean_lender( + circ, + counter, + n_iters, + lender, + active, + !reverse, + |circ, iteration| { + let index = if reverse { + n_iters - 1 - iteration + } else { + iteration + }; + callback_order.push(index); + for (bit, target) in result.iter().enumerate() { + if (index >> bit) & 1 != 0 { + circ.cx(active, target); + } + } + }, + ); + } else { + unary_iterate_log_star_with_clean_lender( + circ, + counter, + n_iters, + lender, + |circ, iteration, gate| { + let index = if reverse { + n_iters - 1 - iteration + } else { + iteration + }; + callback_order.push(index); + if !reverse { + circ.cx(gate, active); + } + for (bit, target) in result.iter().enumerate() { + if (index >> bit) & 1 != 0 { + circ.cx(active, target); + } + } + if reverse { + circ.cx(gate, active); + } + }, + ); + } +} + +fn build_sub800_uls_fused_target_proof_harness( + counter_width: usize, + n_iters: usize, + use_clean_lender: bool, + fused_target: bool, + mode: Sub800UlsFusedTargetProofMode, +) -> Sub800UlsFusedTargetProofHarness { + std::env::set_var(SUB800_ULS_DIRTY_MCX3_FLAG, "1"); + + let mut circ = Circuit::new(); + let lender_lane = circ.alloc_qreg("sub800.uls-fused-target-proof.lender"); + let counter = circ.alloc_qreg_bits("sub800.uls-fused-target-proof.counter", counter_width); + let active = circ.alloc_qreg("sub800.uls-fused-target-proof.active"); + let result = circ.alloc_qreg_bits("sub800.uls-fused-target-proof.result", 4); + let counter_refs: Vec<&QReg> = counter.iter().collect(); + let result_refs: Vec<&QReg> = result.iter().collect(); + let lender = use_clean_lender.then_some(&lender_lane); + let mut callback_order = Vec::with_capacity(n_iters); + if matches!(mode, Sub800UlsFusedTargetProofMode::Forward) { + emit_sub800_uls_guard_scan( + &mut circ, + &counter_refs, + n_iters, + lender, + &active, + &result_refs, + fused_target, + false, + &mut callback_order, + ); + } + if matches!(mode, Sub800UlsFusedTargetProofMode::Reverse) { + emit_sub800_uls_guard_scan( + &mut circ, + &counter_refs, + n_iters, + lender, + &active, + &result_refs, + fused_target, + true, + &mut callback_order, + ); + } + drop(counter_refs); + drop(result_refs); + + let external_ids: Vec = counter + .iter() + .chain(std::iter::once(&active)) + .chain(result.iter()) + .chain(std::iter::once(&lender_lane)) + .map(QReg::id) + .collect(); + let external_mask = external_ids + .iter() + .fold(0u64, |mask, id| mask | (1u64 << id)); + let builder = circ.into_builder(); + assert_eq!(builder.active_qubits as usize, external_ids.len()); + assert!(builder.next_qubit <= 64); + Sub800UlsFusedTargetProofHarness { + builder, + external_ids, + external_mask, + lender_id: lender_lane.id(), + callback_order, + } +} + +fn sub800_uls_input(harness: &Sub800UlsProofHarness, value: u64) -> u64 { + harness + .external_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +fn sub800_uls_apply_scalar(ops: &[crate::circuit::Op], mut state: u64) -> u64 { + use crate::circuit::OperationType; + + let bit = |word: u64, id: u64| ((word >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::R | OperationType::Hmr => { + state &= !(1u64 << op.q_target.0); + } + OperationType::Neg + | OperationType::Z + | OperationType::CZ + | OperationType::CCZ + | OperationType::BitInvert + | OperationType::BitStore0 + | OperationType::BitStore1 + | OperationType::PushCondition + | OperationType::PopCondition + | OperationType::Register + | OperationType::AppendToRegister + | OperationType::DebugPrint => {} + OperationType::Swap => panic!("ULS proof unexpectedly emitted SWAP"), + } + } + state +} + +fn sub800_uls_expected_external(value: u64, counter_width: usize, n_iters: usize) -> u64 { + let counter_mask = (1u64 << counter_width) - 1; + let counter = value & counter_mask; + let mut expected = value; + if (counter as usize) < n_iters { + expected ^= (counter & 0xf) << counter_width; + expected ^= 1u64 << (counter_width + 4); + } + expected +} + +fn sub800_uls_fused_expected_external( + value: u64, + counter_width: usize, + n_iters: usize, + mode: Sub800UlsFusedTargetProofMode, +) -> u64 { + let counter_mask = (1u64 << counter_width) - 1; + let counter = (value & counter_mask) as usize; + let active_shift = counter_width; + let result_shift = active_shift + 1; + let mut active = ((value >> active_shift) & 1) != 0; + let mut result = (value >> result_shift) & 0xf; + + for iteration in 0..n_iters { + if mode == Sub800UlsFusedTargetProofMode::Forward && counter == iteration { + active = !active; + } + let index = if mode == Sub800UlsFusedTargetProofMode::Reverse { + n_iters - 1 - iteration + } else { + iteration + }; + if active { + result ^= (index as u64) & 0xf; + } + if mode == Sub800UlsFusedTargetProofMode::Reverse && counter == iteration { + active = !active; + } + } + + (value & counter_mask) | (u64::from(active) << active_shift) | (result << result_shift) +} + +fn verify_sub800_uls_fused_callback_order( + baseline: &Sub800UlsFusedTargetProofHarness, + candidate: &Sub800UlsFusedTargetProofHarness, + n_iters: usize, + mode: Sub800UlsFusedTargetProofMode, +) -> usize { + assert_eq!(baseline.callback_order, candidate.callback_order); + assert_eq!(baseline.callback_order.len(), n_iters); + for (iteration, &index) in baseline.callback_order.iter().enumerate() { + let expected = if mode == Sub800UlsFusedTargetProofMode::Reverse { + n_iters - 1 - iteration + } else { + iteration + }; + assert_eq!(index, expected); + } + n_iters +} + +#[derive(Default)] +struct Sub800UlsFusedReplayCounts { + basis_states_checked: usize, + simulator_equivalence_checks: usize, + phase_clean_checks: usize, + scratch_clean_checks: usize, + counter_restore_checks: usize, + lender_observation_checks: usize, + clean_lender_restore_checks: usize, +} + +impl Sub800UlsFusedReplayCounts { + fn absorb(&mut self, other: Self) { + self.basis_states_checked += other.basis_states_checked; + self.simulator_equivalence_checks += other.simulator_equivalence_checks; + self.phase_clean_checks += other.phase_clean_checks; + self.scratch_clean_checks += other.scratch_clean_checks; + self.counter_restore_checks += other.counter_restore_checks; + self.lender_observation_checks += other.lender_observation_checks; + self.clean_lender_restore_checks += other.clean_lender_restore_checks; + } +} + +fn verify_sub800_uls_fused_simulator_equivalence( + baseline: &Sub800UlsFusedTargetProofHarness, + candidate: &Sub800UlsFusedTargetProofHarness, + counter_width: usize, + n_iters: usize, + use_clean_lender: bool, + mode: Sub800UlsFusedTargetProofMode, +) -> Sub800UlsFusedReplayCounts { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.external_ids, candidate.external_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert_eq!(baseline.lender_id, candidate.lender_id); + let semantic_input_bits = counter_width + 5; + assert_eq!(baseline.external_ids.len(), semantic_input_bits + 1); + assert_eq!(baseline.external_ids.last(), Some(&baseline.lender_id)); + let states = 1usize << semantic_input_bits; + let mode_tag = u8::from(mode == Sub800UlsFusedTargetProofMode::Reverse); + let lender_tag = u8::from(use_clean_lender); + let mut counts = Sub800UlsFusedReplayCounts::default(); + + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"sub800-uls-fused-target-proof-v2"); + baseline_seed.update(&(counter_width as u64).to_le_bytes()); + baseline_seed.update(&(n_iters as u64).to_le_bytes()); + baseline_seed.update(&[mode_tag, lender_tag]); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_seed = Shake128::default(); + candidate_seed.update(b"sub800-uls-fused-target-proof-v2"); + candidate_seed.update(&(counter_width as u64).to_le_bytes()); + candidate_seed.update(&(n_iters as u64).to_le_bytes()); + candidate_seed.update(&[mode_tag, lender_tag]); + candidate_seed.update(&(batch_start as u64).to_le_bytes()); + let mut candidate_xof = candidate_seed.finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.builder.next_qubit as usize, + candidate.builder.next_bit as usize, + &mut candidate_xof, + ); + + for shot in 0..shots { + let value = (batch_start + shot) as u64; + for bit in 0..semantic_input_bits { + if (value >> bit) & 1 != 0 { + let baseline_id = baseline.external_ids[bit]; + let candidate_id = candidate.external_ids[bit]; + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *candidate_simulator.qubit_mut(QubitId(u64::from(candidate_id))) |= + 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + candidate_simulator.apply_iter(candidate.builder.ops.iter()); + + assert_eq!(baseline_simulator.phase & live, 0); + assert_eq!(candidate_simulator.phase & live, 0); + for bit in 0..semantic_input_bits { + let mut expected_mask = 0u64; + for shot in 0..shots { + let value = (batch_start + shot) as u64; + let expected = + sub800_uls_fused_expected_external(value, counter_width, n_iters, mode); + expected_mask |= ((expected >> bit) & 1) << shot; + } + let baseline_id = baseline.external_ids[bit]; + let candidate_id = candidate.external_ids[bit]; + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(baseline_id))) & live, + expected_mask + ); + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(candidate_id))) & live, + expected_mask + ); + } + + let baseline_lender = + baseline_simulator.qubit(QubitId(u64::from(baseline.lender_id))) & live; + let candidate_lender = + candidate_simulator.qubit(QubitId(u64::from(candidate.lender_id))) & live; + assert_eq!(baseline_lender, 0); + assert_eq!(candidate_lender, 0); + + for bit in 0..counter_width { + let mut input_mask = 0u64; + for shot in 0..shots { + input_mask |= ((((batch_start + shot) >> bit) & 1) as u64) << shot; + } + let baseline_id = baseline.external_ids[bit]; + let candidate_id = candidate.external_ids[bit]; + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(baseline_id))) & live, + input_mask + ); + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(candidate_id))) & live, + input_mask + ); + } + for id in 0..baseline.builder.next_qubit { + if baseline.external_mask & (1u64 << id) == 0 { + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "baseline fused ULS left q{id} dirty" + ); + } + } + for id in 0..candidate.builder.next_qubit { + if candidate.external_mask & (1u64 << id) == 0 { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "candidate fused ULS left q{id} dirty" + ); + } + } + + counts.basis_states_checked += shots; + counts.simulator_equivalence_checks += shots; + counts.phase_clean_checks += 2 * shots; + counts.scratch_clean_checks += 2 * shots; + counts.counter_restore_checks += 2 * shots; + counts.lender_observation_checks += 2 * shots; + if use_clean_lender { + counts.clean_lender_restore_checks += 2 * shots; + } + } + counts +} + +fn verify_sub800_uls_simulator_equivalence( + baseline: &Sub800UlsProofHarness, + candidate: &Sub800UlsProofHarness, + counter_width: usize, + n_iters: usize, +) -> (usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.external_ids, candidate.external_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let states = 1usize << baseline.external_ids.len(); + let mut cases_checked = 0usize; + let mut phase_clean_checks = 0usize; + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"sub800-uls-dirty-mcx3-proof"); + baseline_seed.update(&(counter_width as u64).to_le_bytes()); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_seed = Shake128::default(); + candidate_seed.update(b"sub800-uls-dirty-mcx3-proof"); + candidate_seed.update(&(counter_width as u64).to_le_bytes()); + candidate_seed.update(&(batch_start as u64).to_le_bytes()); + let mut candidate_xof = candidate_seed.finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.builder.next_qubit as usize, + candidate.builder.next_bit as usize, + &mut candidate_xof, + ); + + for shot in 0..shots { + let value = (batch_start + shot) as u64; + for (bit, (&baseline_id, &candidate_id)) in baseline + .external_ids + .iter() + .zip(&candidate.external_ids) + .enumerate() + { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *candidate_simulator.qubit_mut(QubitId(u64::from(candidate_id))) |= 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + candidate_simulator.apply_iter(candidate.builder.ops.iter()); + assert_eq!(baseline_simulator.phase & live, 0); + assert_eq!(candidate_simulator.phase & live, 0); + phase_clean_checks += 2 * shots; + + for (bit, (&baseline_id, &candidate_id)) in baseline + .external_ids + .iter() + .zip(&candidate.external_ids) + .enumerate() + { + let mut expected_mask = 0u64; + for shot in 0..shots { + let value = (batch_start + shot) as u64; + let expected = sub800_uls_expected_external(value, counter_width, n_iters); + expected_mask |= ((expected >> bit) & 1) << shot; + } + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(baseline_id))) & live, + expected_mask + ); + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(candidate_id))) & live, + expected_mask + ); + } + for id in 0..baseline.builder.next_qubit { + if baseline.external_mask & (1u64 << id) == 0 { + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "baseline ULS left q{id} dirty" + ); + } + } + for id in 0..candidate.builder.next_qubit { + if candidate.external_mask & (1u64 << id) == 0 { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "candidate ULS left q{id} dirty" + ); + } + } + cases_checked += shots; + } + (cases_checked, phase_clean_checks) +} + +fn verify_sub800_dirty_mcx3_primitive() -> (usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::digest::ExtendableOutput; + + let build = |dirty: bool| { + let mut circ = Circuit::new(); + let controls = circ.alloc_qreg_bits("sub800.mcx3-proof.controls", 3); + let target = circ.alloc_qreg("sub800.mcx3-proof.target"); + let lender = circ.alloc_qreg("sub800.mcx3-proof.dirty"); + let control_refs: Vec<&QReg> = controls.iter().collect(); + if dirty { + mcx_dirty_any_k(&mut circ, &control_refs, &target, &lender); + } else { + mcx_clean_k(&mut circ, &control_refs, &target); + } + let ids: Vec = controls + .iter() + .chain(std::iter::once(&target)) + .chain(std::iter::once(&lender)) + .map(QReg::id) + .collect(); + (circ.into_builder(), ids) + }; + let (baseline, baseline_ids) = build(false); + let (candidate, candidate_ids) = build(true); + assert_eq!(baseline_ids, candidate_ids); + assert_eq!(baseline.peak_qubits, candidate.peak_qubits + 1); + + let mut baseline_xof = sha3::Shake128::default().finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.next_qubit as usize, + baseline.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_xof = sha3::Shake128::default().finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.next_qubit as usize, + candidate.next_bit as usize, + &mut candidate_xof, + ); + for value in 0u64..32 { + for (bit, (&baseline_id, &candidate_id)) in baseline_ids + .iter() + .zip(&candidate_ids) + .enumerate() + { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << value; + *candidate_simulator.qubit_mut(QubitId(u64::from(candidate_id))) |= 1u64 << value; + } + } + } + baseline_simulator.apply_iter(baseline.ops.iter()); + candidate_simulator.apply_iter(candidate.ops.iter()); + assert_eq!(baseline_simulator.phase & 0xffff_ffff, 0); + assert_eq!(candidate_simulator.phase & 0xffff_ffff, 0); + for (bit, (&baseline_id, &candidate_id)) in baseline_ids + .iter() + .zip(&candidate_ids) + .enumerate() + { + let mut expected = 0u64; + for value in 0u64..32 { + let controls = value & 7; + let target = (value >> 3) & 1; + let output = if bit == 3 { + target ^ u64::from(controls == 7) + } else { + (value >> bit) & 1 + }; + expected |= output << value; + } + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(baseline_id))) & 0xffff_ffff, + expected + ); + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(candidate_id))) & 0xffff_ffff, + expected + ); + } + (32, 32) +} + +/// Prove the one-lane ULS peak cut. The primitive check is exhaustive over +/// controls, target, and an arbitrary dirty lender. The integrated sweep then +/// covers every counter/result/fired basis state for widths 5 through 9. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_sub800_uls_dirty_mcx3_check() -> Sub800UlsDirtyMcx3ProofReport { + assert!( + std::env::var_os(SUB800_ULS_DIRTY_MCX3_FLAG).is_none(), + "the ULS dirty-MCX3 feature must default off" + ); + let _environment = Sub800UlsProofEnvironment::capture(); + let (primitive_basis_states_checked, primitive_dirty_restore_checks) = + verify_sub800_dirty_mcx3_primitive(); + const N_ITERS: usize = 16; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut changed_widths = 0usize; + let mut production_resources = None; + + for counter_width in 5usize..=9 { + let baseline = build_sub800_uls_proof_harness(counter_width, N_ITERS, false); + let candidate = build_sub800_uls_proof_harness(counter_width, N_ITERS, true); + assert_eq!(baseline.external_ids, candidate.external_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert!(candidate.builder.peak_qubits <= baseline.builder.peak_qubits); + if candidate.builder.peak_qubits < baseline.builder.peak_qubits { + assert_eq!(candidate.builder.peak_qubits + 1, baseline.builder.peak_qubits); + changed_widths += 1; + } + + let states = 1u64 << baseline.external_ids.len(); + for value in 0..states { + let input = sub800_uls_input(&baseline, value); + let baseline_output = sub800_uls_apply_scalar(&baseline.builder.ops, input); + let candidate_output = sub800_uls_apply_scalar(&candidate.builder.ops, input); + let expected_external = sub800_uls_expected_external(value, counter_width, N_ITERS); + let expected_state = sub800_uls_input(&baseline, expected_external); + assert_eq!(baseline_output, expected_state); + assert_eq!(candidate_output, expected_state); + assert_eq!( + sub800_uls_apply_scalar(&baseline.builder.ops, baseline_output), + input + ); + assert_eq!( + sub800_uls_apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + assert_eq!(baseline_output & !baseline.external_mask, 0); + assert_eq!(candidate_output & !candidate.external_mask, 0); + basis_states_checked += 1; + scalar_equivalence_checks += 1; + inverse_pair_checks += 2; + } + let (simulator_cases, simulator_phases) = verify_sub800_uls_simulator_equivalence( + &baseline, + &candidate, + counter_width, + N_ITERS, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += simulator_phases; + + if counter_width == 9 { + production_resources = Some(( + baseline.builder.peak_qubits as usize, + candidate.builder.peak_qubits as usize, + baseline.builder.counted_ops, + candidate.builder.counted_ops, + baseline.builder.counted_kind_ops[crate::circuit::OperationType::CCX as usize] + + baseline.builder.counted_kind_ops + [crate::circuit::OperationType::CCZ as usize], + candidate.builder.counted_kind_ops[crate::circuit::OperationType::CCX as usize] + + candidate.builder.counted_kind_ops + [crate::circuit::OperationType::CCZ as usize], + )); + } + } + let ( + baseline_peak_qubits, + candidate_peak_qubits, + baseline_emitted_ops, + candidate_emitted_ops, + baseline_emitted_toffoli, + candidate_emitted_toffoli, + ) = production_resources.expect("width-9 ULS resources"); + assert_eq!(candidate_peak_qubits + 1, baseline_peak_qubits); + assert!(candidate_emitted_toffoli > baseline_emitted_toffoli); + + Sub800UlsDirtyMcx3ProofReport { + primitive_basis_states_checked, + primitive_dirty_restore_checks, + counter_widths_checked: 5, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + changed_widths, + baseline_peak_qubits, + candidate_peak_qubits, + baseline_emitted_ops, + candidate_emitted_ops, + baseline_emitted_toffoli, + candidate_emitted_toffoli, + } +} + +/// Prove replacement of one owned ULS prefix ancilla by a caller-owned clean +/// lane. Both compared circuits keep the lender live; only the candidate uses +/// it, so the peak delta measures the actual production loan. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_sub800_uls_clean_lender_check() -> Sub800UlsCleanLenderProofReport { + assert!( + std::env::var_os(SUB800_ULS_DIRTY_MCX3_FLAG).is_none(), + "the ULS dirty-MCX3 feature must default off" + ); + let _environment = Sub800UlsProofEnvironment::capture(); + const N_ITERS: usize = 16; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut lender_restore_checks = 0usize; + let mut changed_widths = 0usize; + let mut production_resources = None; + + for counter_width in 5usize..=9 { + let baseline = + build_sub800_uls_clean_lender_proof_harness(counter_width, N_ITERS, false); + let candidate = + build_sub800_uls_clean_lender_proof_harness(counter_width, N_ITERS, true); + assert_eq!(baseline.external_ids, candidate.external_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert_eq!(candidate.builder.peak_qubits + 1, baseline.builder.peak_qubits); + changed_widths += 1; + + let states = 1u64 << baseline.external_ids.len(); + for value in 0..states { + let input = sub800_uls_input(&baseline, value); + let baseline_output = sub800_uls_apply_scalar(&baseline.builder.ops, input); + let candidate_output = sub800_uls_apply_scalar(&candidate.builder.ops, input); + let expected_external = sub800_uls_expected_external(value, counter_width, N_ITERS); + let expected_state = sub800_uls_input(&baseline, expected_external); + assert_eq!(baseline_output, expected_state); + assert_eq!(candidate_output, expected_state); + assert_eq!( + sub800_uls_apply_scalar(&baseline.builder.ops, baseline_output), + input + ); + assert_eq!( + sub800_uls_apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + assert_eq!(baseline_output & !baseline.external_mask, 0); + assert_eq!(candidate_output & !candidate.external_mask, 0); + basis_states_checked += 1; + scalar_equivalence_checks += 1; + inverse_pair_checks += 2; + lender_restore_checks += 1; + } + let (simulator_cases, simulator_phases) = verify_sub800_uls_simulator_equivalence( + &baseline, + &candidate, + counter_width, + N_ITERS, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += simulator_phases; + + if counter_width == 9 { + production_resources = Some(( + baseline.builder.peak_qubits as usize, + candidate.builder.peak_qubits as usize, + baseline.builder.counted_ops, + candidate.builder.counted_ops, + baseline.builder.counted_kind_ops[crate::circuit::OperationType::CCX as usize] + + baseline.builder.counted_kind_ops + [crate::circuit::OperationType::CCZ as usize], + candidate.builder.counted_kind_ops[crate::circuit::OperationType::CCX as usize] + + candidate.builder.counted_kind_ops + [crate::circuit::OperationType::CCZ as usize], + )); + } + } + + let ( + baseline_peak_qubits, + candidate_peak_qubits, + baseline_emitted_ops, + candidate_emitted_ops, + baseline_emitted_toffoli, + candidate_emitted_toffoli, + ) = production_resources.expect("width-9 clean-lent ULS resources"); + assert_eq!(candidate_peak_qubits + 1, baseline_peak_qubits); + assert_eq!(candidate_emitted_ops + 1, baseline_emitted_ops); + assert_eq!(candidate_emitted_toffoli, baseline_emitted_toffoli); + + Sub800UlsCleanLenderProofReport { + counter_widths_checked: 5, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + lender_restore_checks, + changed_widths, + baseline_peak_qubits, + candidate_peak_qubits, + baseline_emitted_ops, + candidate_emitted_ops, + baseline_emitted_toffoli, + candidate_emitted_toffoli, + } +} + +/// Prove the guard-specific ULS rewrite that toggles the caller's existing +/// active lane directly instead of materializing `uls_gate`. The small sweep +/// covers the full semantic basis at widths 5 through 9; the production sweep +/// covers the full width-9 basis at 260 iterations in both directions and both +/// lender modes. The clean lender stays live, starts at zero, and is observed +/// after phase-aware simulation rather than being reset before inspection. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_sub800_uls_fused_target_check() -> Sub800UlsFusedTargetProofReport { + assert!( + std::env::var_os(SUB800_ULS_DIRTY_MCX3_FLAG).is_none(), + "the ULS dirty-MCX3 feature must default off" + ); + let _environment = Sub800UlsProofEnvironment::capture(); + const EXHAUSTIVE_N_ITERS: usize = 16; + const PRODUCTION_COUNTER_WIDTH: usize = 9; + const PRODUCTION_N_ITERS: usize = 260; + let modes = [ + Sub800UlsFusedTargetProofMode::Forward, + Sub800UlsFusedTargetProofMode::Reverse, + ]; + let mut replay_counts = Sub800UlsFusedReplayCounts::default(); + let mut exhaustive_basis_states_checked = 0usize; + let mut production_basis_states_checked = 0usize; + let mut callback_order_checks = 0usize; + let scalar_equivalence_checks = 0usize; + let roundtrip_checks = 0usize; + + for counter_width in 5usize..=9 { + for use_clean_lender in [false, true] { + for mode in modes { + let baseline = build_sub800_uls_fused_target_proof_harness( + counter_width, + EXHAUSTIVE_N_ITERS, + use_clean_lender, + false, + mode, + ); + let candidate = build_sub800_uls_fused_target_proof_harness( + counter_width, + EXHAUSTIVE_N_ITERS, + use_clean_lender, + true, + mode, + ); + assert_eq!(baseline.external_ids, candidate.external_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert_eq!( + candidate.builder.peak_qubits + 1, + baseline.builder.peak_qubits + ); + callback_order_checks += verify_sub800_uls_fused_callback_order( + &baseline, + &candidate, + EXHAUSTIVE_N_ITERS, + mode, + ); + let counts = verify_sub800_uls_fused_simulator_equivalence( + &baseline, + &candidate, + counter_width, + EXHAUSTIVE_N_ITERS, + use_clean_lender, + mode, + ); + exhaustive_basis_states_checked += counts.basis_states_checked; + replay_counts.absorb(counts); + } + } + } + + let production_basis_states_per_mode = 1usize << (PRODUCTION_COUNTER_WIDTH + 5); + let mut production = [None, None]; + for (lender_index, use_clean_lender) in [false, true].into_iter().enumerate() { + for mode in modes { + let baseline = build_sub800_uls_fused_target_proof_harness( + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + use_clean_lender, + false, + mode, + ); + let candidate = build_sub800_uls_fused_target_proof_harness( + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + use_clean_lender, + true, + mode, + ); + assert_eq!( + candidate.builder.peak_qubits + 1, + baseline.builder.peak_qubits + ); + callback_order_checks += verify_sub800_uls_fused_callback_order( + &baseline, + &candidate, + PRODUCTION_N_ITERS, + mode, + ); + let counts = verify_sub800_uls_fused_simulator_equivalence( + &baseline, + &candidate, + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + use_clean_lender, + mode, + ); + assert_eq!( + counts.basis_states_checked, + production_basis_states_per_mode + ); + production_basis_states_checked += counts.basis_states_checked; + replay_counts.absorb(counts); + + let toffoli = |builder: &crate::point_add::B| { + builder.counted_kind_ops[crate::circuit::OperationType::CCX as usize] + + builder.counted_kind_ops[crate::circuit::OperationType::CCZ as usize] + }; + let resources = ( + baseline.builder.peak_qubits as usize, + candidate.builder.peak_qubits as usize, + baseline.builder.counted_ops, + candidate.builder.counted_ops, + toffoli(&baseline.builder), + toffoli(&candidate.builder), + ); + if mode == Sub800UlsFusedTargetProofMode::Forward { + production[lender_index] = Some(resources); + } else { + assert_eq!(production[lender_index], Some(resources)); + } + } + } + let production = production.map(|resources| resources.expect("production ULS resources")); + assert!(production[0].3 < production[0].2); + assert!(production[0].5 < production[0].4); + assert!(production[1].3 < production[1].2); + assert!(production[1].5 < production[1].4); + assert_eq!( + replay_counts.basis_states_checked, + exhaustive_basis_states_checked + production_basis_states_checked + ); + + Sub800UlsFusedTargetProofReport { + counter_widths_checked: 5, + lender_modes_checked: 2, + directions_checked: 2, + exhaustive_basis_states_checked, + production_counter_width: PRODUCTION_COUNTER_WIDTH, + production_n_iters: PRODUCTION_N_ITERS, + production_modes_checked: 4, + production_basis_states_per_mode, + production_basis_states_checked, + basis_states_checked: replay_counts.basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks: replay_counts.simulator_equivalence_checks, + roundtrip_checks, + callback_order_checks, + phase_clean_checks: replay_counts.phase_clean_checks, + scratch_clean_checks: replay_counts.scratch_clean_checks, + counter_restore_checks: replay_counts.counter_restore_checks, + lender_observation_checks: replay_counts.lender_observation_checks, + clean_lender_restore_checks: replay_counts.clean_lender_restore_checks, + no_lender_baseline_peak_qubits: production[0].0, + no_lender_candidate_peak_qubits: production[0].1, + no_lender_baseline_emitted_ops: production[0].2, + no_lender_candidate_emitted_ops: production[0].3, + no_lender_baseline_emitted_toffoli: production[0].4, + no_lender_candidate_emitted_toffoli: production[0].5, + clean_lender_baseline_peak_qubits: production[1].0, + clean_lender_candidate_peak_qubits: production[1].1, + clean_lender_baseline_emitted_ops: production[1].2, + clean_lender_candidate_emitted_ops: production[1].3, + clean_lender_baseline_emitted_toffoli: production[1].4, + clean_lender_candidate_emitted_toffoli: production[1].5, + } +} + +struct Sub800UlsDirectSelectorProofHarness { + builder: crate::point_add::B, + external_ids: Vec, + external_mask: u64, + active_id: u32, + result_ids: Vec, + lender_id: u32, + cursor_scratch_ids: Vec, + callback_order: Vec>, + callback_ranges: Vec<(usize, usize)>, +} + +fn verify_sub800_uls_direct_callback_order( + baseline: &Sub800UlsDirectSelectorProofHarness, + candidate: &Sub800UlsDirectSelectorProofHarness, + n_iters: usize, + mode: Sub800UlsFusedTargetProofMode, +) -> usize { + assert_eq!(baseline.callback_order, candidate.callback_order); + assert_eq!(baseline.callback_order.len(), n_iters); + for (iteration, &index) in baseline.callback_order.iter().enumerate() { + let expected = if mode == Sub800UlsFusedTargetProofMode::Reverse { + (iteration != 0).then_some(n_iters - 1 - iteration) + } else { + (iteration + 1 < n_iters).then_some(iteration) + }; + assert_eq!(index, expected); + } + n_iters +} + +fn build_sub800_uls_direct_selector_proof_harness( + counter_width: usize, + n_iters: usize, + use_clean_lender: bool, + direct_selector: bool, + mutate_selector_lsb: bool, + mode: Sub800UlsFusedTargetProofMode, +) -> Sub800UlsDirectSelectorProofHarness { + std::env::set_var(SUB800_ULS_DIRTY_MCX3_FLAG, "1"); + assert!(!mutate_selector_lsb || direct_selector); + + let mut circ = Circuit::new(); + let counter = circ.alloc_qreg_bits("sub800.uls-direct-proof.counter", counter_width); + let active = circ.alloc_qreg("sub800.uls-direct-proof.active"); + let result = circ.alloc_qreg_bits("sub800.uls-direct-proof.result", counter_width.max(4)); + let lender = circ.alloc_qreg("sub800.uls-direct-proof.lender"); + let cursor_scratch = circ.alloc_qreg_bits( + "sub800.uls-direct-proof.cursor-scratch", + counter_width.saturating_sub(1), + ); + let counter_refs: Vec<&QReg> = counter.iter().collect(); + let result_refs: Vec<&QReg> = result.iter().collect(); + let scratch_refs: Vec<&QReg> = cursor_scratch.iter().collect(); + let clean_lender = use_clean_lender.then_some(&lender); + let mut callback_order = Vec::with_capacity(n_iters); + let mut callback_ranges = Vec::with_capacity(n_iters); + let reverse = mode == Sub800UlsFusedTargetProofMode::Reverse; + let mut callback = |circ: &mut Circuit, iteration: usize| { + let callback_start = circ.total_ops() as usize; + let index = sub800_uls_production_callback_index( + n_iters - 1, + n_iters - 1, + false, + reverse, + iteration, + ); + callback_order.push(index); + if let Some(index) = index { + // Exercise every cursor lane as a dependent clean chain. Runtime + // replay inspects all lanes immediately before and after this block. + circ.ccx(&active, &result[index % result.len()], &cursor_scratch[0]); + for scratch_index in 1..cursor_scratch.len() { + circ.ccx( + &cursor_scratch[scratch_index - 1], + &result[(index + scratch_index) % result.len()], + &cursor_scratch[scratch_index], + ); + } + for scratch_index in (1..cursor_scratch.len()).rev() { + circ.ccx( + &cursor_scratch[scratch_index - 1], + &result[(index + scratch_index) % result.len()], + &cursor_scratch[scratch_index], + ); + } + circ.ccx(&active, &result[index % result.len()], &cursor_scratch[0]); + + // Consecutive Gray edges telescope, giving every production + // cutoff a unique callback fingerprint in either direction. + let fingerprint_delta = index ^ (index + 1); + for (bit, target) in result_refs.iter().enumerate() { + if (fingerprint_delta >> bit) & 1 != 0 { + circ.cx(&active, target); + } + } + } + callback_ranges.push((callback_start, circ.total_ops() as usize)); + }; + if direct_selector { + if mutate_selector_lsb { + circ.x(&counter[0]); + } + unary_iterate_direct_toggle_target_with_clean_scratch( + &mut circ, + &counter_refs, + n_iters, + &scratch_refs, + &active, + !reverse, + &mut callback, + ); + if mutate_selector_lsb { + circ.x(&counter[0]); + } + } else { + unary_iterate_log_star_toggle_target_with_clean_lender( + &mut circ, + &counter_refs, + n_iters, + clean_lender, + &active, + !reverse, + &mut callback, + ); + } + drop(callback); + drop(counter_refs); + drop(result_refs); + drop(scratch_refs); + + let external_ids: Vec = counter + .iter() + .chain(std::iter::once(&active)) + .chain(result.iter()) + .chain(std::iter::once(&lender)) + .chain(cursor_scratch.iter()) + .map(QReg::id) + .collect(); + let external_mask = external_ids + .iter() + .fold(0u64, |mask, id| mask | (1u64 << id)); + let cursor_scratch_ids = cursor_scratch.iter().map(QReg::id).collect(); + let result_ids = result.iter().map(QReg::id).collect(); + let builder = circ.into_builder(); + assert_eq!(builder.active_qubits as usize, external_ids.len()); + assert!(builder.next_qubit <= 64); + Sub800UlsDirectSelectorProofHarness { + builder, + external_ids, + external_mask, + active_id: active.id(), + result_ids, + lender_id: lender.id(), + cursor_scratch_ids, + callback_order, + callback_ranges, + } +} + +#[derive(Default)] +struct Sub800UlsDirectReplayCounts { + basis_states_checked: usize, + simulator_equivalence_checks: usize, + fingerprint_oracle_checks: usize, + phase_clean_checks: usize, + cursor_scratch_clean_checks: usize, + callback_boundary_checks: usize, + callback_scratch_lane_checks: usize, + counter_restore_checks: usize, + clean_lender_restore_checks: usize, +} + +impl Sub800UlsDirectReplayCounts { + fn absorb(&mut self, other: Self) { + self.basis_states_checked += other.basis_states_checked; + self.simulator_equivalence_checks += other.simulator_equivalence_checks; + self.fingerprint_oracle_checks += other.fingerprint_oracle_checks; + self.phase_clean_checks += other.phase_clean_checks; + self.cursor_scratch_clean_checks += other.cursor_scratch_clean_checks; + self.callback_boundary_checks += other.callback_boundary_checks; + self.callback_scratch_lane_checks += other.callback_scratch_lane_checks; + self.counter_restore_checks += other.counter_restore_checks; + self.clean_lender_restore_checks += other.clean_lender_restore_checks; + } +} + +fn sub800_uls_direct_expected_state( + value: u64, + counter_width: usize, + n_iters: usize, + mode: Sub800UlsFusedTargetProofMode, +) -> (bool, u64) { + let counter = (value & ((1u64 << counter_width) - 1)) as usize; + let mut active = ((value >> counter_width) & 1) != 0; + let result_width = counter_width.max(4); + let mut fingerprint = + (value >> (counter_width + 1)) & ((1u64 << result_width) - 1); + for iteration in 0..n_iters { + if mode == Sub800UlsFusedTargetProofMode::Forward && counter == iteration { + active = !active; + } + let body_index = if mode == Sub800UlsFusedTargetProofMode::Reverse { + (iteration != 0).then_some(n_iters - 1 - iteration) + } else { + (iteration + 1 < n_iters).then_some(iteration) + }; + if active { + if let Some(index) = body_index { + fingerprint ^= (index ^ (index + 1)) as u64; + } + } + if mode == Sub800UlsFusedTargetProofMode::Reverse && counter == iteration { + active = !active; + } + } + (active, fingerprint) +} + +fn verify_sub800_uls_direct_selector_equivalence( + baseline: &Sub800UlsDirectSelectorProofHarness, + candidate: &Sub800UlsDirectSelectorProofHarness, + counter_width: usize, + n_iters: usize, + use_clean_lender: bool, + mode: Sub800UlsFusedTargetProofMode, +) -> Sub800UlsDirectReplayCounts { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.external_ids, candidate.external_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert_eq!(baseline.active_id, candidate.active_id); + assert_eq!(baseline.result_ids, candidate.result_ids); + assert_eq!(baseline.lender_id, candidate.lender_id); + assert_eq!(baseline.cursor_scratch_ids, candidate.cursor_scratch_ids); + assert_eq!(baseline.callback_ranges.len(), n_iters); + assert_eq!(candidate.callback_ranges.len(), n_iters); + let result_width = counter_width.max(4); + let semantic_input_bits = counter_width + 1 + result_width; + assert_eq!(baseline.result_ids.len(), result_width); + let expected_external = counter_width + + 1 + + result_width + + 1 + + counter_width.saturating_sub(1); + assert_eq!(baseline.external_ids.len(), expected_external); + assert_eq!( + baseline.external_ids[counter_width + 1 + result_width], + baseline.lender_id + ); + let states = 1usize << semantic_input_bits; + let mode_tag = u8::from(mode == Sub800UlsFusedTargetProofMode::Reverse); + let lender_tag = u8::from(use_clean_lender); + let mut counts = Sub800UlsDirectReplayCounts::default(); + + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"sub800-uls-direct-selector-proof-v2"); + baseline_seed.update(&(counter_width as u64).to_le_bytes()); + baseline_seed.update(&(n_iters as u64).to_le_bytes()); + baseline_seed.update(&[mode_tag, lender_tag]); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_seed = Shake128::default(); + candidate_seed.update(b"sub800-uls-direct-selector-proof-v2"); + candidate_seed.update(&(counter_width as u64).to_le_bytes()); + candidate_seed.update(&(n_iters as u64).to_le_bytes()); + candidate_seed.update(&[mode_tag, lender_tag]); + candidate_seed.update(&(batch_start as u64).to_le_bytes()); + let mut candidate_xof = candidate_seed.finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.builder.next_qubit as usize, + candidate.builder.next_bit as usize, + &mut candidate_xof, + ); + + let mut expected_active_mask = 0u64; + let mut expected_result_masks = vec![0u64; result_width]; + for shot in 0..shots { + let value = (batch_start + shot) as u64; + for bit in 0..semantic_input_bits { + if (value >> bit) & 1 != 0 { + let baseline_id = baseline.external_ids[bit]; + let candidate_id = candidate.external_ids[bit]; + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *candidate_simulator.qubit_mut(QubitId(u64::from(candidate_id))) |= 1u64 << shot; + } + } + let (expected_active, expected_fingerprint) = + sub800_uls_direct_expected_state(value, counter_width, n_iters, mode); + expected_active_mask |= u64::from(expected_active) << shot; + for (bit, expected_mask) in expected_result_masks.iter_mut().enumerate() { + *expected_mask |= ((expected_fingerprint >> bit) & 1) << shot; + } + } + + let mut baseline_cursor = 0usize; + for &(start, end) in &baseline.callback_ranges { + assert!(baseline_cursor <= start && start <= end && end <= baseline.builder.ops.len()); + baseline_simulator.apply_iter(baseline.builder.ops[baseline_cursor..start].iter()); + for id in &baseline.cursor_scratch_ids { + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(*id))) & live, + 0 + ); + } + counts.callback_boundary_checks += shots; + counts.callback_scratch_lane_checks += shots * baseline.cursor_scratch_ids.len(); + baseline_simulator.apply_iter(baseline.builder.ops[start..end].iter()); + for id in &baseline.cursor_scratch_ids { + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(*id))) & live, + 0 + ); + } + counts.callback_boundary_checks += shots; + counts.callback_scratch_lane_checks += shots * baseline.cursor_scratch_ids.len(); + baseline_cursor = end; + } + baseline_simulator.apply_iter(baseline.builder.ops[baseline_cursor..].iter()); + + let mut candidate_cursor = 0usize; + for &(start, end) in &candidate.callback_ranges { + assert!(candidate_cursor <= start && start <= end && end <= candidate.builder.ops.len()); + candidate_simulator.apply_iter(candidate.builder.ops[candidate_cursor..start].iter()); + for id in &candidate.cursor_scratch_ids { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(*id))) & live, + 0 + ); + } + counts.callback_boundary_checks += shots; + counts.callback_scratch_lane_checks += shots * candidate.cursor_scratch_ids.len(); + candidate_simulator.apply_iter(candidate.builder.ops[start..end].iter()); + for id in &candidate.cursor_scratch_ids { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(*id))) & live, + 0 + ); + } + counts.callback_boundary_checks += shots; + counts.callback_scratch_lane_checks += shots * candidate.cursor_scratch_ids.len(); + candidate_cursor = end; + } + candidate_simulator.apply_iter(candidate.builder.ops[candidate_cursor..].iter()); + assert_eq!(baseline_simulator.phase & live, 0); + assert_eq!(candidate_simulator.phase & live, 0); + + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(candidate.active_id))) & live, + expected_active_mask + ); + for (&id, expected_mask) in candidate + .result_ids + .iter() + .zip(expected_result_masks.iter().copied()) + { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(id))) & live, + expected_mask + ); + } + + for (&baseline_id, &candidate_id) in baseline + .external_ids + .iter() + .zip(candidate.external_ids.iter()) + { + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(baseline_id))) & live, + candidate_simulator.qubit(QubitId(u64::from(candidate_id))) & live + ); + } + for bit in 0..counter_width { + let mut input_mask = 0u64; + for shot in 0..shots { + input_mask |= ((((batch_start + shot) >> bit) & 1) as u64) << shot; + } + let id = candidate.external_ids[bit]; + assert_eq!(candidate_simulator.qubit(QubitId(u64::from(id))) & live, input_mask); + } + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(baseline.lender_id))) & live, + 0 + ); + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(candidate.lender_id))) & live, + 0 + ); + for id in &candidate.cursor_scratch_ids { + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(*id))) & live, + 0 + ); + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(*id))) & live, + 0 + ); + } + for id in 0..baseline.builder.next_qubit { + if baseline.external_mask & (1u64 << id) == 0 { + assert_eq!(baseline_simulator.qubit(QubitId(u64::from(id))) & live, 0); + } + } + for id in 0..candidate.builder.next_qubit { + if candidate.external_mask & (1u64 << id) == 0 { + assert_eq!(candidate_simulator.qubit(QubitId(u64::from(id))) & live, 0); + } + } + + counts.basis_states_checked += shots; + counts.simulator_equivalence_checks += shots; + counts.fingerprint_oracle_checks += shots; + counts.phase_clean_checks += 2 * shots; + counts.cursor_scratch_clean_checks += 2 * shots; + counts.counter_restore_checks += 2 * shots; + if use_clean_lender { + counts.clean_lender_restore_checks += 2 * shots; + } + } + counts +} + +fn verify_sub800_uls_direct_unique_fingerprints( + counter_width: usize, + n_iters: usize, + mode: Sub800UlsFusedTargetProofMode, +) -> usize { + let mut fingerprints = std::collections::BTreeSet::new(); + for counter in 0..n_iters { + let (_, fingerprint) = + sub800_uls_direct_expected_state(counter as u64, counter_width, n_iters, mode); + assert!(fingerprints.insert(fingerprint)); + } + assert_eq!(fingerprints.len(), n_iters); + n_iters +} + +fn verify_sub800_uls_shifted_selector_mutant( + baseline: &Sub800UlsDirectSelectorProofHarness, + mutant: &Sub800UlsDirectSelectorProofHarness, + counter_width: usize, + n_iters: usize, +) -> (usize, usize) { + assert_eq!(baseline.external_ids, mutant.external_ids); + assert_eq!(baseline.external_mask, mutant.external_mask); + let mut cases_checked = 0usize; + let mut detections = 0usize; + for counter in 0..n_iters { + let mut input = 0u64; + for bit in 0..counter_width { + input |= (((counter >> bit) & 1) as u64) << baseline.external_ids[bit]; + } + let baseline_output = sub800_uls_apply_scalar(&baseline.builder.ops, input); + let mutant_output = sub800_uls_apply_scalar(&mutant.builder.ops, input); + assert_eq!(baseline_output & !baseline.external_mask, 0); + assert_eq!(mutant_output & !mutant.external_mask, 0); + detections += usize::from( + baseline_output & baseline.external_mask != mutant_output & mutant.external_mask, + ); + cases_checked += 1; + } + assert_eq!(detections, cases_checked); + (cases_checked, detections) +} + +fn verify_sub800_uls_dirty_selector_primitive() -> (usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::digest::ExtendableOutput; + + const CONTROL_WIDTH: usize = 9; + const INPUT_WIDTH: usize = CONTROL_WIDTH + 1 + 7; + const BASIS_STATES: usize = 1usize << INPUT_WIDTH; + + let mut circ = Circuit::new(); + let controls = circ.alloc_qreg_bits("sub800.dirty-selector.controls", CONTROL_WIDTH); + let target = circ.alloc_qreg("sub800.dirty-selector.target"); + let dirty = circ.alloc_qreg_bits("sub800.dirty-selector.lenders", 7); + let control_refs = controls.iter().collect::>(); + let dirty_refs = dirty.iter().collect::>(); + unary_iterate_direct_toggle_target_with_dirty_scratch( + &mut circ, + &control_refs, + 1, + &dirty_refs, + &target, + true, + |_, _| {}, + ); + let control_ids = controls.iter().map(QReg::id).collect::>(); + let target_id = target.id(); + let dirty_ids = dirty.iter().map(QReg::id).collect::>(); + let builder = circ.into_builder(); + assert_eq!(builder.peak_qubits as usize, CONTROL_WIDTH + 1 + 7); + + for batch_start in (0..BASIS_STATES).step_by(64) { + let shots = (BASIS_STATES - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut xof = sha3::Shake128::default().finalize_xof(); + let mut simulator = Simulator::new( + builder.next_qubit as usize, + builder.next_bit as usize, + &mut xof, + ); + for shot in 0..shots { + let value = batch_start + shot; + for (bit, &id) in control_ids.iter().enumerate() { + if (value >> bit) & 1 != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + if (value >> CONTROL_WIDTH) & 1 != 0 { + *simulator.qubit_mut(QubitId(u64::from(target_id))) |= 1u64 << shot; + } + for (bit, &id) in dirty_ids.iter().enumerate() { + if (value >> (CONTROL_WIDTH + 1 + bit)) & 1 != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(builder.ops.iter()); + assert_eq!(simulator.phase & live, 0, "dirty selector left phase garbage"); + + for (bit, &id) in control_ids.iter().enumerate() { + let mut expected = 0u64; + for shot in 0..shots { + expected |= ((((batch_start + shot) >> bit) & 1) as u64) << shot; + } + assert_eq!(simulator.qubit(QubitId(u64::from(id))) & live, expected); + } + let mut expected_target = 0u64; + for shot in 0..shots { + let value = batch_start + shot; + let controls_zero = value & ((1usize << CONTROL_WIDTH) - 1) == 0; + let output = ((value >> CONTROL_WIDTH) & 1) ^ usize::from(controls_zero); + expected_target |= (output as u64) << shot; + } + assert_eq!( + simulator.qubit(QubitId(u64::from(target_id))) & live, + expected_target + ); + for (bit, &id) in dirty_ids.iter().enumerate() { + let mut expected = 0u64; + for shot in 0..shots { + expected |= ((((batch_start + shot) >> (CONTROL_WIDTH + 1 + bit)) & 1) + as u64) + << shot; + } + assert_eq!(simulator.qubit(QubitId(u64::from(id))) & live, expected); + } + } + + (BASIS_STATES, BASIS_STATES) +} + +/// Compare the direct equality selector against the proved fused LOG* route. +/// Both circuits own the same callback cursor workspace; only the candidate +/// reuses it for equality, and every callback deliberately touches that +/// workspace after the selector has restored it. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_sub800_uls_direct_selector_check() -> Sub800UlsDirectSelectorProofReport { + assert!( + std::env::var_os(SUB800_ULS_DIRTY_MCX3_FLAG).is_none(), + "the ULS dirty-MCX3 feature must default off" + ); + let _environment = Sub800UlsProofEnvironment::capture(); + let (dirty_primitive_basis_states_checked, dirty_primitive_lender_restore_checks) = + verify_sub800_uls_dirty_selector_primitive(); + const EXHAUSTIVE_N_ITERS: usize = 16; + const PRODUCTION_COUNTER_WIDTH: usize = 9; + const PRODUCTION_N_ITERS: usize = 260; + let modes = [ + Sub800UlsFusedTargetProofMode::Forward, + Sub800UlsFusedTargetProofMode::Reverse, + ]; + let mut replay_counts = Sub800UlsDirectReplayCounts::default(); + let mut exhaustive_basis_states_checked = 0usize; + let mut production_basis_states_checked = 0usize; + let mut callback_order_checks = 0usize; + let mut unique_fingerprints_checked = 0usize; + let mut selector_mutant_cases_checked = 0usize; + let mut selector_mutant_detections = 0usize; + + for counter_width in 5usize..=9 { + for use_clean_lender in [false, true] { + for mode in modes { + let baseline = build_sub800_uls_direct_selector_proof_harness( + counter_width, + EXHAUSTIVE_N_ITERS, + use_clean_lender, + false, + false, + mode, + ); + let candidate = build_sub800_uls_direct_selector_proof_harness( + counter_width, + EXHAUSTIVE_N_ITERS, + use_clean_lender, + true, + false, + mode, + ); + assert!(candidate.builder.peak_qubits < baseline.builder.peak_qubits); + callback_order_checks += verify_sub800_uls_direct_callback_order( + &baseline, + &candidate, + EXHAUSTIVE_N_ITERS, + mode, + ); + let counts = verify_sub800_uls_direct_selector_equivalence( + &baseline, + &candidate, + counter_width, + EXHAUSTIVE_N_ITERS, + use_clean_lender, + mode, + ); + exhaustive_basis_states_checked += counts.basis_states_checked; + replay_counts.absorb(counts); + } + } + } + + let mut production = [None, None]; + for (lender_index, use_clean_lender) in [false, true].into_iter().enumerate() { + for mode in modes { + let baseline = build_sub800_uls_direct_selector_proof_harness( + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + use_clean_lender, + false, + false, + mode, + ); + let candidate = build_sub800_uls_direct_selector_proof_harness( + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + use_clean_lender, + true, + false, + mode, + ); + assert!(candidate.builder.peak_qubits < baseline.builder.peak_qubits); + callback_order_checks += verify_sub800_uls_direct_callback_order( + &baseline, + &candidate, + PRODUCTION_N_ITERS, + mode, + ); + let counts = verify_sub800_uls_direct_selector_equivalence( + &baseline, + &candidate, + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + use_clean_lender, + mode, + ); + production_basis_states_checked += counts.basis_states_checked; + replay_counts.absorb(counts); + + let toffoli = |builder: &crate::point_add::B| { + builder.counted_kind_ops[crate::circuit::OperationType::CCX as usize] + + builder.counted_kind_ops[crate::circuit::OperationType::CCZ as usize] + }; + let resources = ( + baseline.builder.peak_qubits as usize, + candidate.builder.peak_qubits as usize, + baseline.builder.counted_ops, + candidate.builder.counted_ops, + toffoli(&baseline.builder), + toffoli(&candidate.builder), + ); + if mode == Sub800UlsFusedTargetProofMode::Forward { + production[lender_index] = Some(resources); + } else { + assert_eq!(production[lender_index], Some(resources)); + } + } + } + let production = production.map(|value| value.expect("production direct-ULS resources")); + + for mode in modes { + unique_fingerprints_checked += verify_sub800_uls_direct_unique_fingerprints( + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + mode, + ); + let baseline = build_sub800_uls_direct_selector_proof_harness( + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + false, + true, + false, + mode, + ); + let mutant = build_sub800_uls_direct_selector_proof_harness( + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + false, + true, + true, + mode, + ); + let (cases, detections) = verify_sub800_uls_shifted_selector_mutant( + &baseline, + &mutant, + PRODUCTION_COUNTER_WIDTH, + PRODUCTION_N_ITERS, + ); + selector_mutant_cases_checked += cases; + selector_mutant_detections += detections; + } + assert_eq!( + replay_counts.basis_states_checked, + exhaustive_basis_states_checked + production_basis_states_checked + ); + + Sub800UlsDirectSelectorProofReport { + dirty_primitive_basis_states_checked, + dirty_primitive_lender_restore_checks, + counter_widths_checked: 5, + lender_modes_checked: 2, + directions_checked: 2, + exhaustive_basis_states_checked, + production_counter_width: PRODUCTION_COUNTER_WIDTH, + production_n_iters: PRODUCTION_N_ITERS, + production_fingerprint_width: PRODUCTION_COUNTER_WIDTH, + production_modes_checked: 4, + production_basis_states_checked, + basis_states_checked: replay_counts.basis_states_checked, + simulator_equivalence_checks: replay_counts.simulator_equivalence_checks, + fingerprint_oracle_checks: replay_counts.fingerprint_oracle_checks, + unique_fingerprints_checked, + selector_mutant_cases_checked, + selector_mutant_detections, + callback_order_checks, + callback_boundary_checks: replay_counts.callback_boundary_checks, + callback_scratch_lane_checks: replay_counts.callback_scratch_lane_checks, + phase_clean_checks: replay_counts.phase_clean_checks, + cursor_scratch_clean_checks: replay_counts.cursor_scratch_clean_checks, + counter_restore_checks: replay_counts.counter_restore_checks, + clean_lender_restore_checks: replay_counts.clean_lender_restore_checks, + no_lender_baseline_peak_qubits: production[0].0, + no_lender_candidate_peak_qubits: production[0].1, + no_lender_baseline_emitted_ops: production[0].2, + no_lender_candidate_emitted_ops: production[0].3, + no_lender_baseline_emitted_toffoli: production[0].4, + no_lender_candidate_emitted_toffoli: production[0].5, + clean_lender_baseline_peak_qubits: production[1].0, + clean_lender_candidate_peak_qubits: production[1].1, + clean_lender_baseline_emitted_ops: production[1].2, + clean_lender_candidate_emitted_ops: production[1].3, + clean_lender_baseline_emitted_toffoli: production[1].4, + clean_lender_candidate_emitted_toffoli: production[1].5, + } +} + +#[derive(Clone, Copy, Debug)] +enum KgPrefixOp<'a> { + X(&'a QReg), + Ccx(&'a QReg, &'a QReg, &'a QReg), +} + +impl KgPrefixOp<'_> { + #[inline] + fn emit(self, circ: &mut Circuit) { + match self { + KgPrefixOp::X(q) => circ.x(q), + KgPrefixOp::Ccx(a, b, t) => circ.ccx(a, b, t), + } + } +} + +#[derive(Clone, Debug)] +struct KgPrefixLayer<'a> { + ctrls: Vec<&'a QReg>, + ops: Vec>, +} + +fn kg_get_layer_id(x: usize) -> usize { + let mut layer_id = 0usize; + let mut s = 0usize; + while s <= x { + s += (1usize << layer_id) + 1; + layer_id += 1; + } + layer_id - 1 +} + +fn kg_start_layer(layer_id: usize) -> usize { + let mut s = 0usize; + for i in 0..layer_id { + s += (1usize << i) + 1; + } + s +} + +/// Upper-bound ancilla budget for the Khattar-Gidney prefix layer +/// decomposition. Some `n` cause the recursive layer builder to +/// reference fewer ancillae than this bound — call +/// [`kg_prefix_ancilla_count_exact`] for the precise count. +#[must_use] +pub fn kg_prefix_ancilla_count(n: usize) -> usize { + if n <= 1 { + return 0; + } + let targets_len = kg_get_layer_id(n - 1) + 1; + if targets_len <= 2 { + 1 + } else { + 2 + kg_prefix_ancilla_count(targets_len) + } +} + +fn kg_apply_prefix_controlled_x(circ: &mut Circuit, ctrls: &[&QReg], target: &QReg) { + match ctrls { + [] => circ.x(target), + [c] => circ.cx(c, target), + [a, b] => circ.ccx(a, b, target), + _ => panic!( + "kg_apply_prefix_controlled_x: expected <=2 ctrls, got {}", + ctrls.len() + ), + } +} + +fn kg_anc_index(len: usize, idx: isize) -> usize { + if idx >= 0 { + idx as usize + } else { + (len as isize + idx) as usize + } +} + +fn kg_get_layers_for_prefix_and<'a>( + q: &[&'a QReg], + inp_anc: &[&'a QReg], +) -> Vec> { + assert!( + !q.is_empty(), + "kg_get_layers_for_prefix_and: q must be non-empty" + ); + if q.len() == 1 { + return vec![ + KgPrefixLayer { + ctrls: Vec::new(), + ops: Vec::new(), + }, + KgPrefixLayer { + ctrls: vec![q[0]], + ops: Vec::new(), + }, + ]; + } + assert!( + inp_anc.len() >= kg_prefix_ancilla_count(q.len()), + "kg_get_layers_for_prefix_and: expected at least {} ancillae for n={}, got {}", + kg_prefix_ancilla_count(q.len()), + q.len(), + inp_anc.len(), + ); + + let n = q.len(); + let n_layers = kg_get_layer_id(q.len() - 1); + let mut ret = vec![KgPrefixLayer { + ctrls: Vec::new(), + ops: Vec::new(), + }]; + let mut targets: Vec<&'a QReg> = Vec::new(); + let mut anc: Vec<&'a QReg> = vec![inp_anc[0]]; + + for layer_id in 0..=n_layers { + let st = kg_start_layer(layer_id); + let en = n.min(kg_start_layer(layer_id + 1)); + + let mut layer_ctrls = targets.clone(); + layer_ctrls.push(q[st]); + ret.push(KgPrefixLayer { + ctrls: layer_ctrls, + ops: Vec::new(), + }); + + for i in (st + 1)..en { + let offset = i - st; + let anc_len = anc.len(); + let q0 = q[i]; + let (q1, t) = if offset == 1 { + (q[i - 1], anc[kg_anc_index(anc_len, -1)]) + } else { + ( + anc[kg_anc_index(anc_len, -(offset as isize - 1))], + anc[kg_anc_index(anc_len, -(offset as isize))], + ) + }; + let mut ops = Vec::new(); + if std::ptr::eq(t, inp_anc[0]) { + ops.push(KgPrefixOp::Ccx(q0, q1, t)); + } else { + ops.push(KgPrefixOp::X(t)); + ops.push(KgPrefixOp::Ccx(q0, q1, t)); + } + let mut ctrls = targets.clone(); + ctrls.push(t); + ret.push(KgPrefixLayer { ctrls, ops }); + } + + let layer_len = en - st; + let push_idx = kg_anc_index(anc.len(), 1 - layer_len as isize); + targets.push(anc[push_idx]); + + let slice_start = kg_anc_index(anc.len(), 2 - layer_len as isize); + let mut next_anc = anc[slice_start..].to_vec(); + next_anc.extend(q[st..en].iter()); + anc = next_anc; + } + + if targets.len() <= 2 { + return ret; + } + + ret.push(KgPrefixLayer { + ctrls: Vec::new(), + ops: Vec::new(), + }); + let target_prefix_layers = kg_get_layers_for_prefix_and(&targets, &inp_anc[2..]); + for layer_id in 1..=n_layers { + let st = kg_start_layer(layer_id); + let en = n.min(kg_start_layer(layer_id + 1)); + let target_prefix_targets = target_prefix_layers[layer_id].ctrls.clone(); + ret[st + 1] + .ops + .extend_from_slice(&target_prefix_layers[layer_id].ops); + + let temp_target = if target_prefix_targets.len() == 1 { + target_prefix_targets[0] + } else { + assert_eq!(target_prefix_targets.len(), 2); + ret[st + 1].ops.push(KgPrefixOp::Ccx( + target_prefix_targets[0], + target_prefix_targets[1], + inp_anc[1], + )); + inp_anc[1] + }; + + for i in st..en { + let local = *ret[i + 1] + .ctrls + .last() + .expect("kg_get_layers_for_prefix_and: empty local ctrl"); + ret[i + 1].ctrls = vec![temp_target, local]; + } + + if target_prefix_targets.len() == 2 { + ret[en + 1].ops.push(KgPrefixOp::Ccx( + target_prefix_targets[0], + target_prefix_targets[1], + temp_target, + )); + } + } + + ret +} + +/// Streaming Khattar-Gidney prefix-AND (Sec 4 / Fig 4 of KG 2025). +/// +/// Builds the prefix-AND ladder with `log*(n)` clean ancillae and +/// exposes a per-position control-set callback so callers can run +/// arbitrary bodies (e.g. a strided-XOR demux for bitlen-via-popcount) +/// against `AND(q[0..i])` for each `i` without paying the full +/// w-ancilla prefix-OR scratch of a naive thermometer. +/// +/// USAGE (matches the conditionally-clean construction — body is +/// invoked layer-by-layer in DESCENDING order, interleaved with the +/// per-layer reverse-ops as in `inc_khattar_gidney_refs_inner`): +/// ```text +/// let anc_owned = circ.alloc_qreg_bits("kg_pa", kg_prefix_ancilla_count(n)); +/// let anc_refs: Vec<&QReg> = anc_owned.iter().collect(); +/// let q_refs: Vec<&QReg> = q.iter().collect(); +/// // new() emits the forward sweep; consume_with_body emits the +/// // reverse sweep, calling `body(i, ctrls)` once per layer i in +/// // descending order (i = n .. 0). The body sees the layer's +/// // ctrls in their conditionally-clean state, where the AND of the +/// // ctrls equals AND(q[0..i]) at the moment of the call. +/// KgPrefixAnd::new(circ, &q_refs, &anc_refs) +/// .consume_with_body(circ, |c, i, ctrls| { +/// // body example: for each k such that 2^k | i, +/// // emit `mcx_clean_k(ctrls, clz[k])`. +/// for k in 0..clz.len() { +/// if i > 0 && (i & ((1 << k) - 1)) == 0 { +/// mcx_clean_k(c, ctrls, &clz[k]); +/// } +/// } +/// }); +/// for q in anc_owned { circ.zero_and_free(q); } +/// ``` +/// +/// INVARIANTS for the body: +/// - MUST treat ctrls as read-only. +/// - MUST be reversible across the call (XOR-style writes into +/// caller-owned output bits are fine). +/// +/// Cost: forward+reverse sweep = ~2(2n-3) Toffoli + linear X's, plus +/// whatever the body emits per layer. +/// Ancillae: `kg_prefix_ancilla_count(n)` ≈ `log*(n)`. +/// +/// NOTE on the conditionally-clean trick — during the forward sweep, +/// some input q-bits get temporarily X-bracketed (used as "borrowed" +/// ancillae). The ctrls' raw bits do NOT equal the prefix-AND in +/// isolation; the AND of the layer's ctrls equals the prefix-AND +/// only at the specific reverse-iteration point for THAT layer. +/// This is why the API interleaves body+reverse-op per layer rather +/// than exposing a static `ctrls_at(i)` lookup. +/// Phase-1 of the streaming prefix-AND. `KgPrefixAnd::new()` returns +/// this; the caller must then `.forward(circ, body)` to emit the +/// forward sweep, which yields a [`KgPrefixAndForwardDone`] that the +/// caller `.reverse(circ, body)`s. Rust's type system enforces the +/// ordering at compile time — you cannot call reverse before forward, +/// and you cannot skip forward. +pub struct KgPrefixAnd<'a> { + layers: Vec>, + /// = `q.len()` at construction. `layers.len()` may exceed `n+1` + /// because the recursion appends sync-placeholder layers. + n: usize, +} + +/// Phase-2 of the streaming prefix-AND, after the forward sweep has +/// been emitted. The only thing you can do with this is `.reverse(...)`. +pub struct KgPrefixAndForwardDone<'a> { + layers: Vec>, + n: usize, +} + +impl<'a> KgPrefixAnd<'a> { + /// Allocate the prefix-AND plan. Emits NO quantum ops; just builds + /// the layer schedule. Call `.forward(circ, body)` to actually + /// emit the forward sweep. + /// + /// `q`: the input bits (length n; assumed in some pure state). + /// `anc_refs`: at least `kg_prefix_ancilla_count(q.len())` qubits, + /// each in |0>. The caller owns the underlying `QRegs`. + #[track_caller] + #[must_use] + pub fn new(q: &[&'a QReg], anc_refs: &[&'a QReg]) -> Self { + assert!(!q.is_empty(), "KgPrefixAnd::new: q must be non-empty"); + let needed = kg_prefix_ancilla_count(q.len()); + assert!( + anc_refs.len() >= needed, + "KgPrefixAnd::new: needed {} ancillae for n={}, got {}", + needed, + q.len(), + anc_refs.len() + ); + let n = q.len(); + let layers = kg_get_layers_for_prefix_and(q, anc_refs); + Self { layers, n } + } + + /// Number of input bits `n` (= `q.len()`). + #[must_use] + pub fn n(&self) -> usize { + self.n + } + + /// Emit the forward sweep with an ASCENDING body. For each + /// position layer i ∈ [0, n], emits layer i's forward ops and + /// THEN calls `body(circ, i, &layer.ctrls)`. After all forward + /// ops are emitted, returns [`KgPrefixAndForwardDone`] which the + /// caller can `.reverse(...)`. + /// + /// At the moment of the body call, the AND of `ctrls` equals + /// the prefix-AND `AND(q[0..i])` (the conditionally-clean + /// identity holds both immediately after layer i's forward ops + /// AND at the corresponding reverse-iter moment). + /// + /// Layers at i > n are recursion-sync placeholders — their forward + /// ops are emitted but body is skipped. + /// + /// Pass `|_, _, _| {}` as the body if you only need the reverse + /// pass to do work. + pub fn forward( + self, + circ: &mut Circuit, + mut body: impl FnMut(&mut Circuit, usize, &[&'a QReg]), + ) -> KgPrefixAndForwardDone<'a> { + for (i, layer) in self.layers.iter().enumerate() { + for &op in &layer.ops { + op.emit(circ); + } + if i <= self.n { + body(circ, i, &layer.ctrls); + } + } + KgPrefixAndForwardDone { + layers: self.layers, + n: self.n, + } + } +} + +impl<'a> KgPrefixAndForwardDone<'a> { + /// Number of input bits `n` (= `q.len()`). + #[must_use] + pub fn n(&self) -> usize { + self.n + } + + /// Emit the reverse sweep with a DESCENDING body. For each + /// position layer i ∈ [n, 0], calls `body(circ, i, &layer.ctrls)` + /// FIRST and then emits layer i's reverse ops. Consumes self; + /// after return, all ancillae are restored to |0> (caller still + /// owns the `QRegs` and must `zero_and_free` them). + /// + /// Pass `|_, _, _| {}` as the body if you only needed the forward + /// pass to do work. + pub fn reverse( + self, + circ: &mut Circuit, + mut body: impl FnMut(&mut Circuit, usize, &[&'a QReg]), + ) { + for (i, layer) in self.layers.iter().enumerate().rev() { + if i <= self.n { + body(circ, i, &layer.ctrls); + } + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + } +} + +/// Khattar-Gidney 2025 incrementer: recursively produce/consume the +/// prefix-AND ladder with `log*_2(n)` clean ancillae. +/// +/// This is a direct port of the Zenodo Qualtran reference artifact's +/// `get_layers_for_prefix_and` + incrementer wrapper into this repo's +/// gate set. The internal decomposition ensures every target flip is +/// controlled by at most 2 qubits; the recursion lives in the prefix +/// layer producer, not in the final increment consumer. +pub fn inc_khattar_gidney(circ: &mut Circuit, a: &[QReg]) { + let a_refs: Vec<&QReg> = a.iter().collect(); + inc_khattar_gidney_refs(circ, &a_refs); +} + +/// Reference-slice variant of [`inc_khattar_gidney`] for callers that +/// have a `Vec` (e.g. when prepending a ctrl qubit). Avoids the +/// owned-slice constraint of the public API. +pub fn inc_khattar_gidney_refs(circ: &mut Circuit, a: &[&QReg]) { + inc_khattar_gidney_refs_inner(circ, a, /*skip_lsb_x=*/ false); +} + +/// Khattar-Gidney increment with an optional skip of the i=0 +/// reverse-layer X(a[0]). `cinc_khattar_gidney` uses skip=true to +/// fold its trailing X(ctrl) into this routine — the two X's would +/// otherwise be a redundant pair. +fn inc_khattar_gidney_refs_inner(circ: &mut Circuit, a: &[&QReg], skip_lsb_x: bool) { + let n = a.len(); + if n == 0 { + return; + } + if n == 1 { + if !skip_lsb_x { + circ.x(a[0]); + } + return; + } + + // Use the over-bound for safety: kg_prefix_ancilla_count_exact's + // dry-run only counts ancs the layers fn writes/reads in ITS dry-run + // pass, which uses the over-bound's ancs as input. The actual layer + // builder, when given fewer ancs, may underflow on the recursion's + // inp_anc[2..] slice. Over-bound + zero_and_free per-anc satisfies + // strict-dealloc (each free emits an R touch). + let anc_owned = circ.alloc_qreg_bits("kg_inc_anc", kg_prefix_ancilla_count(n - 1)); + let anc_refs: Vec<&QReg> = anc_owned.iter().collect(); + inc_khattar_gidney_refs_inner_with_anc(circ, a, skip_lsb_x, &anc_refs); + + // Free anc qubits via zero_and_free. The kg_prefix_ancilla_count_exact + // upper bound (max_used+1) overcounts when the index range is sparse; + // some ancillae are allocated but never touched by any layer op. Calling + // zero_and_free emits an R gate per ancilla, satisfying the strict + // "must be touched before free" check (R is the canonical end-of-life + // marker, not a dummy gate). All ancillae are |0> here because the + // forward+reverse layer pass is reversible. + drop(anc_refs); + for q in anc_owned { + circ.zero_and_free(q); + } +} + +fn inc_khattar_gidney_refs_inner_with_anc( + circ: &mut Circuit, + a: &[&QReg], + skip_lsb_x: bool, + anc_refs: &[&QReg], +) { + let n = a.len(); + if n == 0 { + return; + } + if n == 1 { + if !skip_lsb_x { + circ.x(a[0]); + } + return; + } + let need = kg_prefix_ancilla_count(n - 1); + assert!( + anc_refs.len() >= need, + "KG increment requires {need} clean ancillae for width {n}, got {}", + anc_refs.len() + ); + let a_top: &[&QReg] = &a[..n - 1]; + let layers = kg_get_layers_for_prefix_and(a_top, &anc_refs[..need]); + + for layer in &layers { + for &op in &layer.ops { + op.emit(circ); + } + } + for (i, layer) in layers.iter().enumerate().rev() { + if i < n && !(i == 0 && skip_lsb_x) { + kg_apply_prefix_controlled_x(circ, &layer.ctrls, a[i]); + } + // Emit inverse ops. + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + drop(layers); +} + +/// `target ^= AND(bits)` using the Khattar-Gidney prefix decomposition. +/// +/// This reuses the same `log*_2(n)`-clean prefix producer as +/// [`inc_khattar_gidney`], but consumes only the full-prefix control. +pub fn xor_and_of_khattar_gidney(circ: &mut Circuit, bits: &[QReg], target: &QReg) { + let bits_refs: Vec<&QReg> = bits.iter().collect(); + xor_and_of_khattar_gidney_refs(circ, &bits_refs, target); +} + +/// Same operation as [`xor_and_of_khattar_gidney_refs`], but uses caller-owned +/// clean ancillae instead of allocating new lanes. The caller must provide at +/// least [`kg_prefix_ancilla_count(bits.len())`] qubits, all initialized to +/// |0>; they are restored to |0> on return. +pub fn xor_and_of_khattar_gidney_refs_with_anc<'a>( + circ: &mut Circuit, + bits: &[&'a QReg], + target: &QReg, + anc_refs: &[&'a QReg], +) { + match bits.len() { + 0 => { + circ.x(target); + return; + } + 1 => { + circ.cx(bits[0], target); + return; + } + 2 => { + circ.ccx(bits[0], bits[1], target); + return; + } + _ => {} + } + assert!( + anc_refs.len() >= kg_prefix_ancilla_count(bits.len()), + "xor_and_of_khattar_gidney_refs_with_anc: need {} clean ancillae for n={}, got {}", + kg_prefix_ancilla_count(bits.len()), + bits.len(), + anc_refs.len(), + ); + + // PRE: capture (AND(bits)_pre, target_pre). + { + let bits_for_capture: Vec<&QReg> = bits.to_vec(); + let target_ref = target; + circ.contract_capture( + "mbu.xor_and_kg_refs_with_anc.pre", + move |view, shot| -> Result<(bool, bool), String> { + let mut and_v = true; + for q in &bits_for_capture { + and_v &= view.contract_read_bit_shot(q, shot); + } + let t = view.contract_read_bit_shot(target_ref, shot); + Ok((and_v, t)) + }, + ); + } + + let layers = kg_get_layers_for_prefix_and(bits, anc_refs); + + for (i, layer) in layers.iter().enumerate() { + if i > bits.len() { + break; + } + for &op in &layer.ops { + op.emit(circ); + } + } + + for (i, layer) in layers.iter().enumerate().rev() { + if i > bits.len() { + continue; + } + if i == bits.len() { + kg_apply_prefix_controlled_x(circ, &layer.ctrls, target); + } + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + drop(layers); + + // POST: target ^= AND(bits); bits unchanged. The provided ancillae are + // restored structurally by the prefix ladder; their eventual zero/free is + // the caller's responsibility. + { + let bits_for_check: Vec<&QReg> = bits.to_vec(); + let target_ref = target; + circ.contract_pop_and_check::<(bool, bool), _>( + "mbu.xor_and_kg_refs_with_anc.pre", + move |cap, view, shot| -> Result<(), String> { + let (and_pre, t_pre) = *cap; + let mut and_post = true; + for q in &bits_for_check { + and_post &= view.contract_read_bit_shot(q, shot); + } + if and_post != and_pre { + return Err(format!( + "xor_and_kg_with_anc: bits AND changed {} -> {}", + u8::from(and_pre), + u8::from(and_post) + )); + } + let t_post = view.contract_read_bit_shot(target_ref, shot); + let expected = t_pre ^ and_pre; + if t_post != expected { + return Err(format!( + "xor_and_kg_with_anc: target {}->{} expected {} (t_pre={}, AND={})", + u8::from(t_pre), + u8::from(t_post), + u8::from(expected), + u8::from(t_pre), + u8::from(and_pre), + )); + } + Ok(()) + }, + ); + } +} + +/// Variant of [`xor_and_of_khattar_gidney_refs`] that ALSO frees +/// `target` at its last gate-touch (the prefix-controlled-X). The +/// ancilla cleanup pass that follows does not touch `target`, so the +/// strict-dealloc gap is zero. +pub fn xor_and_of_khattar_gidney_refs_consume(circ: &mut Circuit, bits: &[&QReg], target: QReg) { + match bits.len() { + 0 => { + circ.x(&target); + drop(target); + return; + } + 1 => { + circ.cx(bits[0], &target); + drop(target); + return; + } + 2 => { + circ.ccx(bits[0], bits[1], &target); + drop(target); + return; + } + _ => {} + } + let anc_owned = circ.alloc_qreg_bits("kg_and_anc", kg_prefix_ancilla_count(bits.len())); + let anc_refs: Vec<&QReg> = anc_owned.iter().collect(); + let layers = kg_get_layers_for_prefix_and(bits, &anc_refs); + + for (i, layer) in layers.iter().enumerate() { + if i > bits.len() { + break; + } + for &op in &layer.ops { + op.emit(circ); + } + } + + let mut target_slot = Some(target); + for (i, layer) in layers.iter().enumerate().rev() { + if i > bits.len() { + continue; + } + if i == bits.len() { + let t = target_slot.as_ref().expect("target only consumed once"); + kg_apply_prefix_controlled_x(circ, &layer.ctrls, t); + // Last gate-touch on target. Free it now so the strict- + // dealloc check sees gap=0. + drop(target_slot.take()); + } + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + drop(layers); + drop(anc_refs); + for q in anc_owned { + circ.zero_and_free(q); + } +} + +/// Reference-slice variant of [`xor_and_of_khattar_gidney`]. +/// +/// `target ^= AND(bits[0..])` via the Khattar–Gidney Sec 5.3 / Sec 6.1 +/// prefix-AND ladder (Fig 4 in the paper). 2n-3 Toffolis, log*_2(n) +/// clean ancillae, O(log n) depth. +pub fn xor_and_of_khattar_gidney_refs(circ: &mut Circuit, bits: &[&QReg], target: &QReg) { + // PRE: capture (AND(bits)_pre, target_pre). + { + let bits_for_capture: Vec<&QReg> = bits.to_vec(); + let target_ref = target; + circ.contract_capture( + "mbu.xor_and_kg_refs.pre", + move |view, shot| -> Result<(bool, bool), String> { + let mut and_v = true; + for q in &bits_for_capture { + and_v &= view.contract_read_bit_shot(q, shot); + } + let t = view.contract_read_bit_shot(target_ref, shot); + Ok((and_v, t)) + }, + ); + } + + xor_and_of_khattar_gidney_refs_inner(circ, bits, target); + + // POST: target ^= AND(bits); bits unchanged. + { + let bits_for_check: Vec<&QReg> = bits.to_vec(); + let target_ref = target; + circ.contract_pop_and_check::<(bool, bool), _>( + "mbu.xor_and_kg_refs.pre", + move |cap, view, shot| -> Result<(), String> { + let (and_pre, t_pre) = *cap; + let mut and_post = true; + for q in &bits_for_check { + and_post &= view.contract_read_bit_shot(q, shot); + } + if and_post != and_pre { + return Err(format!( + "xor_and_kg: bits AND changed {} -> {}", + u8::from(and_pre), + u8::from(and_post) + )); + } + let t_post = view.contract_read_bit_shot(target_ref, shot); + let expected = t_pre ^ and_pre; + if t_post != expected { + return Err(format!( + "xor_and_kg: target {}->{} expected {} (t_pre={}, AND={})", + u8::from(t_pre), + u8::from(t_post), + u8::from(expected), + u8::from(t_pre), + u8::from(and_pre), + )); + } + Ok(()) + }, + ); + } +} + +fn xor_and_of_khattar_gidney_refs_inner(circ: &mut Circuit, bits: &[&QReg], target: &QReg) { + match bits.len() { + 0 => { + circ.x(target); + return; + } + 1 => { + circ.cx(bits[0], target); + return; + } + 2 => { + circ.ccx(bits[0], bits[1], target); + return; + } + _ => {} + } + + // Use the over-bound here (matches what kg_get_layers_for_prefix_and + // asserts). The "_exact" count is sometimes lower than the layer + // builder's actual recursion needs (specifically when an outer call's + // inp_anc[2..] needs to satisfy an inner call's _exact requirement + // — the outer _exact can under-count what the inner needs). Until + // _exact is rewritten to recurse via kg_prefix_ancilla_count_exact + // on the inner targets, use the over-bound to avoid panics. + let anc_owned = circ.alloc_qreg_bits("kg_and_anc", kg_prefix_ancilla_count(bits.len())); + let anc_refs: Vec<&QReg> = anc_owned.iter().collect(); + let layers = kg_get_layers_for_prefix_and(bits, &anc_refs); + + // The target XOR fires exactly at layer index bits.len(). Layers with + // index > bits.len() hold no target injection and their computed ancillae + // serve as controls only for those higher-index layers — never for the + // actual target XOR. They are dead computations (their ops cancel exactly + // in the forward+reverse pair) and must be omitted to avoid the + // redundant-op detector firing on the seam. + for (i, layer) in layers.iter().enumerate() { + if i > bits.len() { + break; + } + for &op in &layer.ops { + op.emit(circ); + } + } + + for (i, layer) in layers.iter().enumerate().rev() { + if i > bits.len() { + continue; + } + if i == bits.len() { + kg_apply_prefix_controlled_x(circ, &layer.ctrls, target); + } + // Emit inverse ops. + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } + // Free via zero_and_free — see inc_khattar_gidney_refs note about + // sparse ancilla indices needing R to satisfy strict-dealloc. + drop(layers); + drop(anc_refs); + for q in anc_owned { + circ.zero_and_free(q); + } +} + +/// Controlled increment via the standard `[ctrl] ++ a` wrapper: +/// `a += ctrl (mod 2^n)`. +pub fn cinc_khattar_gidney(circ: &mut Circuit, a: &[QReg], ctrl: &QReg) { + let a_refs: Vec<&QReg> = a.iter().collect(); + cinc_khattar_gidney_refs(circ, &a_refs, ctrl); +} + +/// Reference-slice variant of [`cinc_khattar_gidney`]. +pub fn cinc_khattar_gidney_refs(circ: &mut Circuit, a: &[&QReg], ctrl: &QReg) { + cinc_khattar_gidney_refs_impl(circ, a, ctrl, None); +} + +/// Controlled increment using caller-owned clean prefix ancillae. The lanes +/// are restored to zero and remain owned by the caller. +pub fn cinc_khattar_gidney_refs_with_anc( + circ: &mut Circuit, + a: &[&QReg], + ctrl: &QReg, + anc_refs: &[&QReg], +) { + cinc_khattar_gidney_refs_impl(circ, a, ctrl, Some(anc_refs)); +} + +/// Controlled decrement using caller-owned clean prefix ancillae. +/// +/// The emitted gate stream is the literal reverse of +/// [`cinc_khattar_gidney_refs_with_anc`]. Since every gate in that stream is +/// self-inverse, this implements `a -= ctrl (mod 2^n)` without complementing +/// `a`. The caller-owned ancillae are restored to zero, and this routine does +/// not allocate, measure, reset, or cross a classical-condition boundary. +pub fn cdec_khattar_gidney_refs_with_anc_exact_reverse( + circ: &mut Circuit, + a: &[&QReg], + ctrl: &QReg, + anc_refs: &[&QReg], +) { + if a.is_empty() { + return; + } + + let n = a.len(); + { + let a_for_capture: Vec<&QReg> = a.to_vec(); + let ctrl_ref = ctrl; + circ.contract_capture( + "mbu.cdec_kg_refs_with_anc_exact_reverse.pre", + move |view, shot| -> Result<(u128, bool), String> { + let cap = n.min(128); + let mut av = 0u128; + for (bit, q) in a_for_capture.iter().take(cap).enumerate() { + if view.contract_read_bit_shot(q, shot) { + av |= 1u128 << bit; + } + } + Ok((av, view.contract_read_bit_shot(ctrl_ref, shot))) + }, + ); + } + + let mut combined: Vec<&QReg> = Vec::with_capacity(1 + a.len()); + combined.push(ctrl); + combined.extend(a.iter().copied()); + inc_khattar_gidney_refs_inner_with_anc_exact_reverse( + circ, + &combined, + /*skip_lsb_x=*/ true, + anc_refs, + ); + + { + let a_for_check: Vec<&QReg> = a.to_vec(); + let ctrl_ref = ctrl; + circ.contract_pop_and_check::<(u128, bool), _>( + "mbu.cdec_kg_refs_with_anc_exact_reverse.pre", + move |cap, view, shot| -> Result<(), String> { + let (a_pre, c_pre) = *cap; + let cap_n = n.min(128); + let mut a_post = 0u128; + for (bit, q) in a_for_check.iter().take(cap_n).enumerate() { + if view.contract_read_bit_shot(q, shot) { + a_post |= 1u128 << bit; + } + } + let mask = if cap_n == 128 { + u128::MAX + } else { + (1u128 << cap_n) - 1 + }; + let expected = a_pre.wrapping_sub(u128::from(c_pre)) & mask; + if a_post != expected { + return Err(format!( + "cdec_kg_exact_reverse: a {a_pre:#x}->{a_post:#x}, expected {expected:#x} (ctrl={})", + u8::from(c_pre), + )); + } + let c_post = view.contract_read_bit_shot(ctrl_ref, shot); + if c_post != c_pre { + return Err(format!( + "cdec_kg_exact_reverse: ctrl changed {} -> {}", + u8::from(c_pre), + u8::from(c_post), + )); + } + Ok(()) + }, + ); + } +} + +fn inc_khattar_gidney_refs_inner_with_anc_exact_reverse( + circ: &mut Circuit, + a: &[&QReg], + skip_lsb_x: bool, + anc_refs: &[&QReg], +) { + let n = a.len(); + if n == 0 { + return; + } + if n == 1 { + if !skip_lsb_x { + circ.x(a[0]); + } + return; + } + let need = kg_prefix_ancilla_count(n - 1); + assert!( + anc_refs.len() >= need, + "KG reverse increment requires {need} clean ancillae for width {n}, got {}", + anc_refs.len(), + ); + let layers = kg_get_layers_for_prefix_and(&a[..n - 1], &anc_refs[..need]); + + // Reverse([forward layers] [descending target + reverse-layer blocks]). + for (i, layer) in layers.iter().enumerate() { + for &op in &layer.ops { + op.emit(circ); + } + if i < n && !(i == 0 && skip_lsb_x) { + kg_apply_prefix_controlled_x(circ, &layer.ctrls, a[i]); + } + } + for layer in layers.iter().rev() { + for &op in layer.ops.iter().rev() { + op.emit(circ); + } + } +} + +fn cinc_khattar_gidney_refs_impl( + circ: &mut Circuit, + a: &[&QReg], + ctrl: &QReg, + anc_refs: Option<&[&QReg]>, +) { + if a.is_empty() { + return; + } + + // PRE: capture (a_pre, ctrl_pre). + let n = a.len(); + { + let a_for_capture: Vec<&QReg> = a.to_vec(); + let ctrl_ref = ctrl; + circ.contract_capture( + "mbu.cinc_kg_refs.pre", + move |view, shot| -> Result<(u128, bool), String> { + let cap = if n >= 128 { 128 } else { n }; + let mut av: u128 = 0; + for b in 0..cap { + if view.contract_read_bit_shot(a_for_capture[b], shot) { + av |= 1u128 << b; + } + } + let cv = view.contract_read_bit_shot(ctrl_ref, shot); + Ok((av, cv)) + }, + ); + } + + // cinc(a, ctrl) = inc(combined=[ctrl, a]) followed by X(ctrl) to + // undo the LSB flip — but inc_khattar_gidney's i=0 reverse-layer + // op IS that X, so the published "inc-then-X" pair cancels. Use + // the skip-LSB-X variant to emit the optimized sequence directly. + let mut combined: Vec<&QReg> = Vec::with_capacity(1 + a.len()); + combined.push(ctrl); + combined.extend(a.iter().copied()); + if let Some(anc_refs) = anc_refs { + inc_khattar_gidney_refs_inner_with_anc( + circ, + &combined, + /*skip_lsb_x=*/ true, + anc_refs, + ); + } else { + inc_khattar_gidney_refs_inner(circ, &combined, /*skip_lsb_x=*/ true); + } + + // POST: a == (a_pre + ctrl_pre) mod 2^n; ctrl unchanged. + { + let a_for_check: Vec<&QReg> = a.to_vec(); + let ctrl_ref = ctrl; + circ.contract_pop_and_check::<(u128, bool), _>( + "mbu.cinc_kg_refs.pre", + move |cap, view, shot| -> Result<(), String> { + let (a_pre, c_pre) = *cap; + let cap_n = if n >= 128 { 128 } else { n }; + let mut a_post: u128 = 0; + for b in 0..cap_n { + if view.contract_read_bit_shot(a_for_check[b], shot) { + a_post |= 1u128 << b; + } + } + let mask = if cap_n >= 128 { + !0u128 + } else { + (1u128 << cap_n) - 1 + }; + let expected = (a_pre.wrapping_add(u128::from(c_pre))) & mask; + if a_post != expected { + return Err(format!( + "cinc_kg: a {:#x}->{:#x}, expected {:#x} (a_pre={:#x}, ctrl={})", + a_pre, + a_post, + expected, + a_pre, + u8::from(c_pre), + )); + } + let c_post = view.contract_read_bit_shot(ctrl_ref, shot); + if c_post != c_pre { + return Err(format!( + "cinc_kg: ctrl changed {} -> {}", + u8::from(c_pre), + u8::from(c_post) + )); + } + Ok(()) + }, + ); + } +} + +// [DELETED 2026-05-30] `controlled_add_cuccaro` (10n CCX via cccx +// shared-scratch ancilla) and its post-check have been removed. All +// callers route through [`controlled_add_cuccaro_3n`] (3n CCX). See +// git log for the deleted body. + +// [DELETED 2026-05-30] `controlled_add_cuccaro_mbu` and +// `controlled_add_cuccaro_mbu_refs` (8n CCX via streaming MBU-AND on +// each cccx) have been removed. All callers route through +// [`controlled_add_cuccaro_3n`] / [`controlled_add_cuccaro_3n_refs`] +// (3n CCX). See git log for the deleted body. + +/// Classical-quantum compare. CURRENTLY IMPLEMENTED INCORRECTLY +/// per HARD RULE — ops are O(n^1.58) (should be Θ(n)); polylog ancs +/// are honest. Bridge to Theorem 3 via `V_2` stack is under construction +/// (`compare_lt_qq` done, `compare_geq_cq` via temp register is REJECTED +/// because it's n transient ancs). +/// +/// Do not call on performance-critical paths until `V_2` Theorem 3 lands. +/// +/// Recursive halving: +/// x >= c iff (`x_hi` > `c_hi`) OR (`x_hi` == `c_hi` AND `x_lo` >= `c_lo`) +/// +/// Sub-calls: +/// 1. compute s1 = (`x_lo` >= `c_lo`) [recurse on lo] +/// 2. out ^= (`x_hi` > `c_hi`) [recurse on hi with c+1] +/// 3. out ^= s1 AND (`x_hi` == `c_hi`) [AND-tree eq + conjunction] +/// 4. uncompute s1 [recurse self-inverse] +/// +/// Base cases: n ≤ 2 direct. +/// +/// Ops: Θ(n log n) (master theorem). Ancs: O(log² n) (one scratch +/// per recursion level + log-depth AND trees). +pub fn compare_geq_theorem3(circ: &mut Circuit, x: &[QReg], c: &[u8], out: &QReg) { + let n = x.len(); + if n == 0 { + // Empty x vs empty (or larger) c: vacuously x=0 >= c=0, so + // out ^= 1 iff c is numerically 0. + if bytes_ge_pow2(c, 0) { + // c >= 2^0 = 1, so c > 0, x < c, out unchanged. + } else { + circ.x(out); + } + return; + } + // If c >= 2^n, x < c always, out unchanged. + if bytes_ge_pow2(c, n) { + return; + } + // If c == 0, x >= 0 always, out ^= 1. + if bytes_is_zero(c) { + circ.x(out); + return; + } + if n == 1 { + // c > 0 and c < 2^1 = 2, so c == 1. + // x >= 1 iff x == 1. out ^= x[0]. + circ.cx(&x[0], out); + return; + } + if n == 2 { + // c in {1, 2, 3}. + let c0 = bit_of(c, 0); + let c1 = bit_of(c, 1); + match (c1, c0) { + (false, true) => { + // c=1: x >= 1 iff x != 0. out ^= (x[0] OR x[1]). + // x[0] OR x[1] = NOT(NOT x[0] AND NOT x[1]). + // Simpler: out ^= x[0]; out ^= x[1]; out ^= x[0]·x[1]. + circ.cx(&x[0], out); + circ.cx(&x[1], out); + circ.ccx(&x[0], &x[1], out); + } + (true, false) => { + // c=2: x >= 2 iff x[1] = 1. out ^= x[1]. + circ.cx(&x[1], out); + } + (true, true) => { + // c=3: x >= 3 iff x = 3, i.e. x[0]·x[1]. + circ.ccx(&x[0], &x[1], out); + } + _ => unreachable!(), + } + return; + } + + // General n >= 3: dispatch to compare_lt_cq_paper (Vandaele 2026 + // Theorem 3 / Fig 7 / Eq 32 with Fig 2(a) dirty upgrade). + // + // compare_lt_cq_paper gives z ^= 1[x < c] with O(n log n) gates and + // 1 dirty ancilla. We want out ^= 1[x >= c] = out ^= 1 ^ 1[x < c], + // so we X(out) to pick up the constant-1 contribution and then call + // compare_lt_cq_paper to XOR in 1[x < c]. + // + // c passed to compare_lt_cq_paper must be exactly n bits, so + // construct a Vec from the low n bits of c. + let c_bits: Vec = (0..n).map(|i| u8::from(bit_of(c, i))).collect(); + circ.x(out); + compare_lt_cq_paper(circ, x, &c_bits, out); +} + +/// Reference-slice variant of [`compare_geq_theorem3`]. +pub fn compare_geq_theorem3_refs(circ: &mut Circuit, x: &[&QReg], c: &[u8], out: &QReg) { + let n = x.len(); + if n == 0 { + if bytes_ge_pow2(c, 0) { + // c >= 1, x = 0 < c, out unchanged. + } else { + circ.x(out); + } + return; + } + if bytes_ge_pow2(c, n) { + return; + } + if bytes_is_zero(c) { + circ.x(out); + return; + } + if n == 1 { + circ.cx(x[0], out); + return; + } + if n == 2 { + let c0 = bit_of(c, 0); + let c1 = bit_of(c, 1); + match (c1, c0) { + (false, true) => { + circ.cx(x[0], out); + circ.cx(x[1], out); + circ.ccx(x[0], x[1], out); + } + (true, false) => { + circ.cx(x[1], out); + } + (true, true) => { + circ.ccx(x[0], x[1], out); + } + _ => unreachable!(), + } + return; + } + + let c_bits: Vec = (0..n).map(|i| u8::from(bit_of(c, i))).collect(); + circ.x(out); + compare_lt_cq_paper_refs(circ, x, &c_bits, out); +} + +/// Reference-slice variant of [`compare_geq_theorem3_free_out`]. +pub fn compare_geq_theorem3_free_out_refs(circ: &mut Circuit, x: &[&QReg], c: &[u8], out: QReg) { + let n = x.len(); + if n == 0 { + if bytes_ge_pow2(c, 0) { + drop(out); + } else { + circ.x(&out); + drop(out); + } + return; + } + if bytes_ge_pow2(c, n) { + return; + } + if bytes_is_zero(c) { + circ.x(&out); + drop(out); + return; + } + if n == 1 { + circ.cx(x[0], &out); + drop(out); + return; + } + if n == 2 { + let c0 = bit_of(c, 0); + let c1 = bit_of(c, 1); + match (c1, c0) { + (false, true) => { + circ.cx(x[0], &out); + circ.cx(x[1], &out); + circ.ccx(x[0], x[1], &out); + drop(out); + } + (true, false) => { + circ.cx(x[1], &out); + drop(out); + } + (true, true) => { + circ.ccx(x[0], x[1], &out); + drop(out); + } + _ => unreachable!(), + } + return; + } + let c_bits: Vec = (0..n).map(|i| u8::from(bit_of(c, i))).collect(); + circ.x(&out); + compare_lt_cq_paper_free_z_refs(circ, x, &c_bits, out); +} + +/// Extract bit `i` from a little-endian byte vec. +fn bit_of(bytes: &[u8], i: usize) -> bool { + let byte_idx = i / 8; + if byte_idx >= bytes.len() { + return false; + } + (bytes[byte_idx] >> (i % 8)) & 1 == 1 +} + +fn bytes_is_zero(bytes: &[u8]) -> bool { + bytes.iter().all(|&b| b == 0) +} + +/// True iff the numeric value of `bytes` is >= 2^k. +fn bytes_ge_pow2(bytes: &[u8], k: usize) -> bool { + // Any bit at position >= k being 1 ⇒ value >= 2^k. + for i in 0..bytes.len() * 8 { + if i >= k && (bytes[i / 8] >> (i % 8)) & 1 == 1 { + return true; + } + } + false +} + +pub fn cinc_gidney_halving(circ: &mut Circuit, a: &[QReg], ctrl: &QReg) { + let n = a.len(); + if n == 0 { + return; + } + if n == 1 { + circ.cx(ctrl, &a[0]); + return; + } + if n == 2 { + circ.ccx(ctrl, &a[0], &a[1]); + circ.cx(ctrl, &a[0]); + return; + } + + let m = n / 2; + + // g := AND(a[0..m], ctrl). Borrow dirty from a[m] (high half). + let g = circ.alloc_qreg("ghalv_g"); + let mut ctrls: Vec<&QReg> = Vec::with_capacity(m + 1); + ctrls.extend(a[..m].iter()); + ctrls.push(ctrl); + let dirty = &a[m]; + mcx_dirty_any_k(circ, &ctrls, &g, dirty); + + // Propagate carry into high half. + cinc_gidney_halving(circ, &a[m..], &g); + + // Uncompute g (self-inverse: a[0..m] and ctrl are unchanged above). + mcx_dirty_any_k(circ, &ctrls, &g, dirty); + + drop(g); + + // Low-half increment. + cinc_gidney_halving(circ, &a[..m], ctrl); +} + +/// Theorem 5 (Vandaele 2026): classical-quantum adder `x += c mod 2^n`. +/// Θ(n log n) gates; uses the caller-supplied dirty ancilla `g`, which +/// is returned to its original (unknown) value on exit. +/// +/// Recursive Häner-et-al. structure: split x,c at m=⌈n/2⌉. The high +/// half xH takes the carry from xL+cL via a controlled INC, which is +/// surrounded by two self-inverse CARRY compares against the same +/// threshold — xL is untouched between them so the second call cleanly +/// zeroes g before the recursive sub-adds run. +/// +/// CARRY(xL ≥ 2^m − cL → g) [g ^= carry] +/// cinc(xH, ctrl=g, p=0) [xH += g] +/// CARRY(xL ≥ 2^m − cL → g) [g restored] +/// `add_classical(xL`, cL, g) [recurse on low half] +/// `add_classical(xH`, cH, g) [recurse on high half] +/// +/// CARRY: `compare_geq_theorem3` (polylog ancs; ops O(n^1.58) pending +/// V_2-based rewrite to Θ(n)). cinc: `cinc_gidney_halving`. +/// +/// Correctness note: xL+cL ≥ 2^m iff xL ≥ 2^m − cL, so the forward +/// comparator gives the carry. Because xL is not modified between +/// the two CARRY calls (cinc only touches xH, and the first recursive +/// call on xL happens AFTER the uncompute), the second CARRY XORs the +/// same value back into g. +pub fn classical_quantum_add(circ: &mut Circuit, x: &[QReg], c: &[u8], g: &QReg) { + let n = x.len(); + if n == 0 { + return; + } + // All-zero c: adding 0 is a no-op. Prevents recursion from emitting + // wasted cinc_gidney_halving / recursive calls through all-zero subtrees, which + // is the bulk of cost when c is sparse (e.g. c = R = 2^32 + 977 on + // a 256-bit x: top-half c is all zero). + if c.iter().all(|&b| b == 0) { + return; + } + if n == 1 { + if (c[0] & 1) == 1 { + circ.x(&x[0]); + } + return; + } + let m = n.div_ceil(2); + + // Split c into low m bits (c_lo) and high n-m bits (c_hi). + let c_lo = extract_low_bits(c, m); + let c_hi = extract_bit_range(c, m, n); + let x_lo = &x[..m]; + let x_hi = &x[m..]; + + let c_lo_zero = c_lo.iter().all(|&b| b == 0); + let c_hi_zero = c_hi.iter().all(|&b| b == 0); + + // Threshold T = 2^m - c_lo for the CARRY compare x_lo >= T. + // Byte-level subtraction (u128 overflows at m=129). + let (t_is_zero, t_bytes) = two_pow_m_minus(&c_lo, m); + + // If c_lo=0: no carry from low half, skip the CARRY compare AND + // the controlled INC (which would fire with g=0 = no-op, but still + // emits gates). Only the high-half recursion has work to do. + if !c_lo_zero { + // Forward CARRY: g ^= 1[xL >= T]. T=0 ↔ c_lo=0 ↔ carry impossible. + if !t_is_zero { + compare_geq_theorem3(circ, x_lo, &t_bytes, g); + } + + // Controlled INC: x_hi += g. + cinc_gidney_halving(circ, x_hi, g); + + // Reverse CARRY: self-inverse — restores g. + if !t_is_zero { + compare_geq_theorem3(circ, x_lo, &t_bytes, g); + } + } + + // Recurse on halves, skipping all-zero subtrees. + if !c_lo_zero { + classical_quantum_add(circ, x_lo, &c_lo, g); + } + if !c_hi_zero { + classical_quantum_add(circ, x_hi, &c_hi, g); + } +} + +/// Compute `(2^m − val)` over m-bit unsigned integers, returning +/// `(is_zero, bytes_le)`. When val == 0 the result is 2^m which is +/// representationally zero in m-bit arithmetic — flag it so callers +/// can skip the compare (no m-bit x can satisfy x ≥ 2^m). +/// Byte-level subtraction so it handles m > 128 without u128 overflow. +fn two_pow_m_minus(val: &[u8], m: usize) -> (bool, Vec) { + if m == 0 { + return (true, vec![]); + } + // Check zero-ness cheaply. + let is_zero = val.iter().all(|&b| b == 0); + if is_zero { + return (true, vec![0u8; m.div_ceil(8)]); + } + // Compute t = 2^m − val. Equivalent to (~val (over m bits)) + 1. + let mut t = vec![0u8; m.div_ceil(8)]; + for i in 0..m { + let byte_idx = i / 8; + let bit = if byte_idx < val.len() { + (val[byte_idx] >> (i % 8)) & 1 + } else { + 0 + }; + if bit == 0 { + t[byte_idx] |= 1u8 << (i % 8); + } + } + // Now t = ~val (over m bits). Add 1. + let mut carry: u16 = 1; + for byte in &mut t { + let sum = u16::from(*byte) + carry; + *byte = (sum & 0xff) as u8; + carry = sum >> 8; + if carry == 0 { + break; + } + } + // Mask off bits beyond m in the top byte. + let top_bits = m % 8; + if top_bits != 0 { + let mask = (1u8 << top_bits) - 1; + let top = t.len() - 1; + t[top] &= mask; + } + (false, t) +} + +/// Corollary 8 (Vandaele 2026): 1-controlled classical-quantum adder. +/// If ctrl=1, a += val; else a unchanged. Θ(n log n) gates, 1 dirty +/// ancilla (internally allocated). +/// +/// Implementation: a ctrl-gated Theorem 5. Every gate emitted by the +/// adder has ctrl added to its control list — CX becomes CCX, X becomes +/// CX, CCX becomes C³X (expanded via a scratch AND(ctrl, other)). The +/// recursive structure, CARRY compares, and controlled INC all inherit +/// the outer ctrl. +/// +/// Here we achieve that by computing `g_eff = ctrl AND g_internal` +/// once per recursion level, so the controlled INC sees the combined +/// (ctrl AND carry) and the CARRY compares are guarded by ctrl via +/// an extra CCX layer on the final XOR. +/// Returns true iff `ctrl_cq_add_impl` will ever execute a CARRY step +/// (i.e., will ever touch the g ancilla). +fn ctrl_cq_add_uses_g(n: usize, c: &[u8]) -> bool { + if n <= 1 { + return false; + } + if c.iter().all(|&b| b == 0) { + return false; + } + let m = n.div_ceil(2); + let c_lo = extract_low_bits(c, m); + let c_hi = extract_bit_range(c, m, n); + let c_lo_zero = c_lo.iter().all(|&b| b == 0); + if !c_lo_zero { + // CARRY step fires here, touching g. + return true; + } + // c_lo is zero; g only used if recursive x_hi call uses it. + let c_hi_zero = c_hi.iter().all(|&b| b == 0); + if c_hi_zero { + return false; + } + ctrl_cq_add_uses_g(n - m, &c_hi) +} + +pub fn controlled_classical_quantum_add(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], val: &[u8]) { + let a_refs: Vec<&QReg> = a.iter().collect(); + controlled_classical_quantum_add_refs(circ, ctrl, &a_refs, val); +} + +/// Reference-slice variant of [`controlled_classical_quantum_add`]. +pub fn controlled_classical_quantum_add_refs( + circ: &mut Circuit, + ctrl: &QReg, + a: &[&QReg], + val: &[u8], +) { + if !ctrl_cq_add_uses_g(a.len(), val) { + ctrl_cq_add_impl_refs(circ, ctrl, a, val, ctrl); + return; + } + let g = circ.alloc_qreg("cadd_dirty_g"); + ctrl_cq_add_impl_consume_g_refs(circ, ctrl, a, val, g); +} + +fn ctrl_cq_add_impl_refs(circ: &mut Circuit, ctrl: &QReg, x: &[&QReg], c: &[u8], g: &QReg) { + let n = x.len(); + if n == 0 { + return; + } + if c.iter().all(|&b| b == 0) { + return; + } + if n == 1 { + if (c[0] & 1) == 1 { + circ.cx(ctrl, x[0]); + } + return; + } + let m = n.div_ceil(2); + let c_lo = extract_low_bits(c, m); + let c_hi = extract_bit_range(c, m, n); + let x_lo = &x[..m]; + let x_hi = &x[m..]; + + let c_lo_zero = c_lo.iter().all(|&b| b == 0); + let c_hi_zero = c_hi.iter().all(|&b| b == 0); + + let (t_is_zero, t_bytes) = two_pow_m_minus(&c_lo, m); + + if !c_lo_zero { + if !t_is_zero { + let s = circ.alloc_qreg("cqadd_cmp_s"); + compare_geq_theorem3_refs(circ, x_lo, &t_bytes, &s); + circ.ccx(ctrl, &s, g); + compare_geq_theorem3_free_out_refs(circ, x_lo, &t_bytes, s); + } + + let cg = circ.alloc_qreg("cqadd_cg"); + circ.ccx(ctrl, g, &cg); + cinc_khattar_gidney_refs(circ, x_hi, &cg); + circ.ccx(ctrl, g, &cg); + drop(cg); + + if !t_is_zero { + let s = circ.alloc_qreg("cqadd_cmp_s2"); + compare_geq_theorem3_refs(circ, x_lo, &t_bytes, &s); + circ.ccx(ctrl, &s, g); + compare_geq_theorem3_free_out_refs(circ, x_lo, &t_bytes, s); + } + } + + if !c_lo_zero { + ctrl_cq_add_impl_refs(circ, ctrl, x_lo, &c_lo, g); + } + if !c_hi_zero { + ctrl_cq_add_impl_refs(circ, ctrl, x_hi, &c_hi, g); + } +} + +/// Like `ctrl_cq_add_impl_refs` but frees `g` immediately after its last +/// gate-touch, deep inside the recursion. Avoids the strict-dealloc +/// gap that occurs when the caller frees `g` after trailing CX ops +/// that don't touch `g`. +/// +/// Invariant: `ctrl_cq_add_uses_g(x.len(), c)` must be true. +fn ctrl_cq_add_impl_consume_g_refs( + circ: &mut Circuit, + ctrl: &QReg, + x: &[&QReg], + c: &[u8], + g: QReg, +) { + let n = x.len(); + debug_assert!( + n >= 2 && ctrl_cq_add_uses_g(n, c), + "ctrl_cq_add_impl_consume_g_refs: g is not used (n={n})" + ); + + let m = n.div_ceil(2); + let c_lo = extract_low_bits(c, m); + let c_hi = extract_bit_range(c, m, n); + let x_lo = &x[..m]; + let x_hi = &x[m..]; + let c_lo_zero = c_lo.iter().all(|&b| b == 0); + let c_hi_zero = c_hi.iter().all(|&b| b == 0); + let (t_is_zero, t_bytes) = two_pow_m_minus(&c_lo, m); + + // Determine which sub-recursion is the LAST to touch g. + let hi_uses_g = !c_hi_zero && ctrl_cq_add_uses_g(x_hi.len(), &c_hi); + let lo_uses_g = !c_lo_zero && ctrl_cq_add_uses_g(x_lo.len(), &c_lo); + // If neither sub-recursion uses g, the CARRY section at this level is + // the last user. We restructure the CARRY to free g at the exact + // last gate-touch, before the compare uncomputation trailing ops. + let carry_is_last_g_user = !hi_uses_g && !lo_uses_g; + + let mut g_holder = Some(g); + + if !c_lo_zero { + if !t_is_zero { + let s = circ.alloc_qreg("cqadd_cmp_s"); + compare_geq_theorem3_refs(circ, x_lo, &t_bytes, &s); + circ.ccx(ctrl, &s, g_holder.as_ref().expect("g alive")); + compare_geq_theorem3_free_out_refs(circ, x_lo, &t_bytes, s); + } + + let cg = circ.alloc_qreg("cqadd_cg"); + circ.ccx(ctrl, g_holder.as_ref().expect("g alive"), &cg); + cinc_khattar_gidney_refs(circ, x_hi, &cg); + circ.ccx(ctrl, g_holder.as_ref().expect("g alive"), &cg); + if carry_is_last_g_user && t_is_zero { + let _ = g_holder.take(); + } + drop(cg); + + if !t_is_zero { + let s = circ.alloc_qreg("cqadd_cmp_s2"); + compare_geq_theorem3_refs(circ, x_lo, &t_bytes, &s); + circ.ccx(ctrl, &s, g_holder.as_ref().expect("g alive")); + if carry_is_last_g_user { + let _ = g_holder.take(); + } + compare_geq_theorem3_free_out_refs(circ, x_lo, &t_bytes, s); + } + } + + if hi_uses_g { + let g = g_holder.take().expect("g alive for hi_uses_g recursion"); + if !c_lo_zero { + ctrl_cq_add_impl_refs(circ, ctrl, x_lo, &c_lo, &g); + } + ctrl_cq_add_impl_consume_g_refs(circ, ctrl, x_hi, &c_hi, g); + } else if lo_uses_g { + let g = g_holder.take().expect("g alive for lo_uses_g recursion"); + ctrl_cq_add_impl_consume_g_refs(circ, ctrl, x_lo, &c_lo, g); + debug_assert!( + c_hi_zero || !ctrl_cq_add_uses_g(x_hi.len(), &c_hi), + "ctrl_cq_add_impl_consume_g_refs: lo_uses_g branch needs hi-side g" + ); + if !c_hi_zero { + ctrl_cq_add_impl_refs(circ, ctrl, x_hi, &c_hi, ctrl); + } + } else { + if !c_lo_zero { + ctrl_cq_add_impl_refs(circ, ctrl, x_lo, &c_lo, ctrl); + } + if !c_hi_zero { + ctrl_cq_add_impl_refs(circ, ctrl, x_hi, &c_hi, ctrl); + } + } +} + +/// Extract the low `bits` bits of `src` (byte-packed, LSB first) into +/// a byte vector sized to hold `bits` bits. +fn extract_low_bits(src: &[u8], bits: usize) -> Vec { + let n_bytes = bits.div_ceil(8); + let mut out = vec![0u8; n_bytes]; + for i in 0..bits { + let byte_idx = i / 8; + if byte_idx < src.len() && (src[byte_idx] >> (i % 8)) & 1 == 1 { + out[i / 8] |= 1 << (i % 8); + } + } + out +} + +/// Extract bits [lo..hi) of `src` into a byte vector aligned to the new LSB. +/// Bits beyond `src.len()`*8 are treated as 0 (zero-extension). +fn extract_bit_range(src: &[u8], lo: usize, hi: usize) -> Vec { + let bits = hi - lo; + let n_bytes = bits.div_ceil(8); + let mut out = vec![0u8; n_bytes]; + for i in 0..bits { + let sidx = lo + i; + let byte_idx = sidx / 8; + if byte_idx < src.len() && (src[byte_idx] >> (sidx % 8)) & 1 == 1 { + out[i / 8] |= 1 << (i % 8); + } + } + out +} + +// ========================================================================= +// Vandaele V_2 stack (Theorem 2 / Theorem 3 machinery). +// +// Layered bottom-up: +// - l2_naive Definition 2.3 (Eq. 5) for k=2: CCX ladder on 2n+1 qubits. +// Ancilla-free, Θ(n) gates, O(n) depth. +// (Paper's Lemma 4 gives log-depth via n ancs; we skip +// that optimization — we care about gate count + ancs, +// not depth. All paper ops bounds still hold.) +// - v2_naive Definition 2.4 (Eq. 6) for k=2: V-shape of two L_2 +// ladders. Ancilla-free. +// - compare_geq_v2 Theorem 3 via V_2 per Eq. 30-32: X-mask + slice-2 +// structure with dirty-anc wiring. 1 dirty ancilla. +// +// All operations use only {CCX, CX, X} and are classically reversible. +// ========================================================================= + +/// `L_2^(n)` operator (Vandaele Def 2.3, Eq. 5 for k=2). +/// +/// Acts on 2n+1 qubits `wire[0..=2n]` as a CCX ladder: +/// for i=1..n: CCX(wire[2i-2], wire[2i-1], wire[2i]) +/// +/// Classically computes: wire[2i] ^= prefix-AND-pattern. Ancilla-free. +/// Gates: n CCX. Depth: O(n) (log-depth via Lemma 4 deferred). +/// Self-inverse since CCX is self-inverse and gates target non-overlapping +/// positions' targets (each wire[2i] is touched by one CCX). + +fn v2_naive_refs(circ: &mut Circuit, wire: &[&QReg]) { + let len = wire.len(); + assert!( + len >= 3 && len % 2 == 1, + "V_2 needs 2n+1 qubits (n≥1), got {len}" + ); + let n = (len - 1) / 2; + // L_2^(n-1) forward ladder on wire[0..2n-1]: + // CCX(wire[0], wire[1], wire[2]); CCX(wire[2], wire[3], wire[4]); ... + // ...; CCX(wire[2n-4], wire[2n-3], wire[2n-2]). + for i in 1..n { + circ.ccx(wire[2 * i - 2], wire[2 * i - 1], wire[2 * i]); + } + // Middle CCX on the last triple: + // CCX(wire[2n-2], wire[2n-1], wire[2n]). + circ.ccx(wire[2 * n - 2], wire[2 * n - 1], wire[2 * n]); + // L_2^(n-1) reverse ladder (same gates in reverse; CCX is self-inverse): + // CCX(wire[2n-4], wire[2n-3], wire[2n-2]); ...; CCX(wire[0], wire[1], wire[2]). + for i in (1..n).rev() { + circ.ccx(wire[2 * i - 2], wire[2 * i - 1], wire[2 * i]); + } +} + +/// Variant of [`v2_naive`] that frees `wire[last]` right after the +/// middle CCX (its last gate-touch). The reverse ladder only touches +/// `wire[2..2n-2]`, so `wire[2n]` can be freed before it. Caller passes +/// the trailing wire (z) by value so we can drop it in place. +#[allow(dead_code)] +fn v2_naive_free_last(circ: &mut Circuit, wire_prefix: &[&QReg], z: QReg) { + let len = wire_prefix.len() + 1; + assert!( + len >= 3 && len % 2 == 1, + "v2_naive_free_last: needs 2n+1 qubits, got {len}" + ); + let n = (len - 1) / 2; + for i in 1..n { + circ.ccx( + wire_prefix[2 * i - 2], + wire_prefix[2 * i - 1], + wire_prefix[2 * i], + ); + } + // Middle CCX — last gate touching z = wire[2n]. + circ.ccx(wire_prefix[2 * n - 2], wire_prefix[2 * n - 1], &z); + // Drop z right after its last touch; the reverse ladder doesn't touch z. + drop(z); + for i in (1..n).rev() { + circ.ccx( + wire_prefix[2 * i - 2], + wire_prefix[2 * i - 1], + wire_prefix[2 * i], + ); + } +} + +/// Quantum-quantum comparator per Vandaele 2026 Fig 5. +/// +/// Empirical semantic (traced for n=2 exhaustive): `z ^= 1[a > b]` +/// with register convention `a[0], b[0]` at top, `a[n-1], b[n-1]` +/// at bottom. Paper labels output as `z ⊕ (a < b)`, but trace +/// shows `1[a > b]` — the sign discrepancy is likely paper +/// labeling convention; either interpretation is trivially +/// reversible via `z ^= 1` post-compare. +/// +/// Ancilla: **0** (paper's Theorem 2). Gates: O(n) total. +/// +/// Fig 5 structure (n=5 example, generalizes): +/// Slice 1: +/// (a) X on every `b_i` (n X) +/// (b) `CX(a_i`, `b_i`) for i=1..n-1 (n-1 CX) +/// (c) CX(a_{n-1}, z) — captures MSB carry +/// (d) CX ladder on a: CX(a_{i-1}, `a_i`) for i = n-1 down to 2 (n-2 CX) +/// Slice 2 (the `V_2` operator): +/// Palindromic CCX chain on interleaved wire [`a_0`, `b_0`, ..., a_{n-1}, b_{n-1}, z] +/// = `CCX(a_0,b_0,a_1)`; `CCX(a_1,b_1,a_2)`; ...; CCX(a_{n-1},b_{n-1},z); reverse +/// = 2n-1 CCX (via `v2_naive`) +/// Slice 3: inverse of slice 1 EXCEPT col 4 (CX(a_{n-1},z) stays — it's the output). +/// +/// Total: (2n-1) CCX + (4n-3) CX + 2n X. 0 ancillae. O(n) gates. + +/// Quantum-quantum comparator via Cuccaro MAJ/reverse-MAJ with 1 dirty +/// ancilla. Retained for comparison; the paper's `compare_lt_qq_paper` +/// is ancilla-free. +/// +/// Builds `b + (~a)` via Cuccaro MAJ cascade, extracts carry into z +/// (which = 1 iff b > a iff a < b since we skip the +1), then reverses +/// the MAJ cascade to restore a and b. +/// +/// Not the paper's V_2-based Θ(log n)-depth Theorem 2 — we trade depth +/// for simplicity. Ops budget (the constraint that matters here) is +/// Θ(n) either way. a and b preserved; z XOR-ed. + +/// Build the wire sequence for the top-half `V_2^(h)` call in Eq 32. +/// +/// Slots (length 2h+1): +/// [`g_0`, `a_0_data`, `g_1`, `a_1_data`, ..., g_{h-1}, `last_data`, target] +/// with `g_i` <- a[n-h+i] (bottom-half a's play dirty g-slots), `a_i_data` <- a[i] +/// for i=0..h-2, `last_data` = anc0 (holds AND(a[h-1..n])), target = anc1 = z. +fn build_top_wires_refs<'a>( + a: &[&'a QReg], + anc0: &'a QReg, + anc1: &'a QReg, + h: usize, + n: usize, +) -> Vec<&'a QReg> { + debug_assert!(h >= 1 && n >= h); + let mut w = Vec::with_capacity(2 * h + 1); + for i in 0..h - 1 { + w.push(a[n - h + i]); + w.push(a[i]); + } + w.push(a[n - 1]); + w.push(anc0); + w.push(anc1); + w +} + +/// Build the wire sequence for the bottom-half `V_2^(l)` call in Eq 32. +/// +/// Slots (length 2l+1): +/// [`g_0`, `a_h`, `g_1`, a_{h+1}, ..., g_{l-1}, a_{n-1}, target] +/// with `g_i` <- a[i] (top-half a's play dirty g-slots), data <- a[h+i] +/// for i=0..l-1, target = anc1 = z. +fn build_bot_wires_refs<'a>(a: &[&'a QReg], anc1: &'a QReg, h: usize, l: usize) -> Vec<&'a QReg> { + debug_assert!(l >= 1); + let mut w = Vec::with_capacity(2 * l + 1); + for i in 0..l { + w.push(a[i]); + w.push(a[h + i]); + } + w.push(anc1); + w +} + +/// Emit the Eq 32 `V_2` decomposition of Fig 7's slice 2 multi-ctrl X cascade, +/// with Fig 2(a) clean→dirty upgrade so anc0 is dirty. +/// +/// Structure (see `notes/theorem3_eq32_gates.md)`: +/// glue C^(l+1)X(a[h-1..n]; anc0); +/// (`V_2^(h)` on `top_wires`; `top_cXOR_wall)^2`; // ctrl-U #1 per Fig 2(a) +/// glue C^(l+1)X(a[h-1..n]; anc0); // uncompute/re-toggle +/// (`V_2^(h)` on `top_wires`; `top_cXOR_wall)^2`; // ctrl-U #2 per Fig 2(a) +/// (`V_2^(l)` on `bot_wires`; `bot_cXOR_wall)^2`; // bottom, no anc0 involvement +/// +/// Preconditions: n >= 2. Caller has emitted slice 1 (X-mask + c-CX), col 4 +/// X(z)-iff-c_{n-1}=1, and computed `c_eff` (the ladder-updated classical +/// values) before calling this. +/// +/// Glue gate: `C^(l+1)X` — for k <= 5 uses existing `mcx_dirty` with a[0] as +/// psi (a[0] is always outside `glue_ctrls` = a[h-1..n] when n >= 4; for +/// n=2,3 k<=2 and no psi is needed). +/// For k >= 6 (n >= 10), awaits a separate multi-dirty extension. +/// Clean-ancilla variant of `slice2_eq32`: `anc0` must be |0⟩ on entry +/// (and will be returned to |0⟩). Skips Fig 2(a)'s dirty-ancilla +/// doubling — the top half runs `glue · ctrl-U · glue` (one pair) +/// instead of `glue · ctrl-U · glue · ctrl-U` (two pairs). Halves +/// the top-block cost. +fn slice2_eq32_clean_refs(circ: &mut Circuit, a: &[&QReg], c_eff: &[u8], z: &QReg) { + let n = a.len(); + debug_assert_eq!(c_eff.len(), n); + debug_assert!(n >= 2, "slice2_eq32_clean requires n >= 2"); + + let h = n.div_ceil(2); + let l = n / 2; + + // When c_eff[0..h] are all zero, the top block's cXOR wall emits no + // X gates, making each emit_top_block call identical. Two consecutive + // v2_naive calls (a palindromic CCX sequence) would produce the same + // gate at the seam — triggering the redundancy detector. Since + // V_2 · V_2 = identity (V_2 is self-inverse), skipping both top-block + // calls (and the glue gates that exist only to enable them) is correct. + let top_c_zero = c_eff[..h].iter().all(|&x| x == 0); + + let glue_ctrls: Vec<&QReg> = a[h - 1..n].to_vec(); + + if !top_c_zero { + // Allocate anc0 and free it inside mcx_dirty_any_k_consume RIGHT + // AFTER the second glue restores it to |0>. The bot_block half + // doesn't touch anc0, so leaving it live there burns the gap. + let anc0 = circ.alloc_qreg("t3_anc0"); + { + let top_wires: Vec<&QReg> = build_top_wires_refs(a, &anc0, z, h, n); + let emit_top_block = |circ: &mut Circuit, top_wires: &[&QReg]| { + v2_naive_refs(circ, top_wires); + for i in 0..h { + if c_eff[i] == 1 { + circ.x(a[n - h + i]); + } + } + }; + + // Clean-anc form: glue · ctrl-U · glue. ctrl-U = (V_2 · cXOR)^2 + // = 2 top_blocks. Total top half: 2 glue + 2 top_blocks (half the + // dirty version's 2 glue + 4 top_blocks). + mcx_dirty_any_k(circ, &glue_ctrls, &anc0, a[0]); + emit_top_block(circ, &top_wires); + emit_top_block(circ, &top_wires); + } + // top_wires dropped — anc0 movable. + // Second glue using the consume variant: anc0 is freed right after + // the last gate that touches it (inside mcx_dirty_any_k), before + // any trailing X-wrap ops that restore glue_ctrls. + mcx_dirty_any_k_consume(circ, &glue_ctrls, anc0, a[0]); + } + + // Bottom half — no ancilla involvement. + // Same guard: when c_eff[h..n] are all zero, both bot-block calls are + // identical (empty cXOR wall), V_2 · V_2 = identity, skip both. + // + // The second bot-block's cXOR wall is NOT emitted here. It is merged + // with the caller's slice3 inversions: for each i in 0..l, the second + // cXOR would emit X(a[i]) iff c_eff[h+i]=1, and the standard slice3 + // emits X(a[i]) iff (i=0 OR c[i]=0). When both would fire they cancel + // (net 0); when only one fires the caller emits the single net X. + // This avoids the redundancy-detector panic: v2_naive call 2 ends with + // a CCX on a[i], so after V_2 the last_op_for(a[i]) is CCX (not X), + // and the merged slice3 X(a[i]) is never seen as adjacent to an X. + // See compare_lt_cq_paper_refs for the merged slice3 emission. + if l >= 1 && c_eff[h..].iter().any(|&x| x != 0) { + let bot_wires: Vec<&QReg> = build_bot_wires_refs(a, z, h, l); + // First bot_block: V_2 then cXOR (full). + v2_naive_refs(circ, &bot_wires); + for i in 0..l { + if c_eff[h + i] == 1 { + circ.x(a[i]); + } + } + // Second bot_block: V_2 only; caller emits the merged cXOR+slice3. + v2_naive_refs(circ, &bot_wires); + } +} + +/// Classical-quantum comparator per Vandaele 2026 Theorem 3 / Fig 7. +/// +/// Computes: `z ^= 1[a < c]` under the convention that a[0] and c[0] are +/// the LSBs. Paper labels the Fig 7 output as `z ⊕ (c < a)`, but +/// exhaustive tracing shows the actual semantic is `z ⊕ (a < c)` — same +/// convention flip observed in Fig 5 (where paper labels `z ⊕ (a < b)` +/// but the circuit computes `z ^= 1[a > b]`). Either interpretation is +/// a correct comparator; callers can XOR z with 1 to invert. +/// +/// Ancilla budget: **1 dirty** (supplied as `dirty` param). Caller must +/// pass a qubit whose state is allowed to be arbitrary before the call; +/// it is restored to its entry state at the end. +/// +/// Gate count: O(n) for n <= 9 (given current `mcx_dirty` k <= 5 support). +/// For n >= 10 the glue C^(l+1)X needs an extension of `mcx_dirty` — +/// not yet wired. +/// +/// Implementation: +/// Slice 1: X-mask on a (unconditional + c_i-guarded for i>=1). +/// Slice 2: col 4 X(z) iff c_{n-1}=1; compile-time c-ladder; Eq 32 +/// `V_2` decomposition with Fig 2(a) clean→dirty upgrade. +/// Slice 3: inverse of slice 1. +/// +/// See `notes/theorem3_progress.md` and `notes/theorem3_eq32_gates.md` for +/// the full gate-by-gate derivation from the Vandaele `TikZ` source. +pub fn compare_lt_cq_paper(circ: &mut Circuit, a: &[QReg], c: &[u8], z: &QReg) { + let a_refs: Vec<&QReg> = a.iter().collect(); + compare_lt_cq_paper_refs(circ, &a_refs, c, z); +} + +/// Reference-slice variant of [`compare_lt_cq_paper`]. +pub(crate) fn compare_lt_cq_paper_refs(circ: &mut Circuit, a: &[&QReg], c: &[u8], z: &QReg) { + let n = a.len(); + assert_eq!(c.len(), n, "compare_lt_cq_paper: a/c length mismatch"); + + if n == 0 { + return; + } + // c=0 short-circuit: 1[a < 0] = 0 always, so z unchanged. The + // general path emits slice1 X's (on a) and slice3 X's that exactly + // invert them when slice2 is also empty (which it is when + // c_eff is fully zero). Without this short-circuit the slice1 and + // slice3 X's appear adjacent on a-registers and trigger the + // redundancy detector. + if c.iter().all(|&x| x == 0) { + return; + } + if n == 1 { + // z ^= 1[a < c] = ~a[0] · c[0]. + // Fig 7's n=5 structure degenerates incorrectly at n=1 (trace + // shows it computes c·a, not ~a·c), so we special-case. + if c[0] == 1 { + circ.x(a[0]); + circ.cx(a[0], z); + circ.x(a[0]); + } + return; + } + + // Compile-time c-ladder (computed first, needed for top_c_zero/bot_c_zero + // which determine the semi-isolated index skip before slice1). + // For j = n-1 down to 2: c_j ^= c_{j-1}. + // c_0 and c_1 are unchanged. + let mut c_eff: Vec = c.to_vec(); + for j in (2..n).rev() { + c_eff[j] ^= c_eff[j - 1]; + } + + let h = n.div_ceil(2); + let l = n / 2; + let top_c_zero = c_eff[..h].iter().all(|&x| x == 0); + + // Semi-isolated index (odd n only): the index n-h = (n-1)/2 appears in + // top_wires but NOT in bot_wires. When top_c_zero is true (top block + // AND its glue are skipped entirely) and the bot block runs, a[n-h] is + // never touched by any V_2 or glue gate between slice1 and slice3. + // The slice1 X(a[n-h]) and slice3 X(a[n-h]) form a pure no-op pair + // (a[n-h] serves no role in the active V_2 computation). Removing both + // preserves semantics and eliminates the adjacent X-X redundancy. + // + // For even n: the corresponding "bot-only" index is a[h-1], but for + // even n when bot_c_zero=true the top block always runs, and the glue + // (which uses a[h-1..n] as controls, including a[h-1]) touches a[h-1] + // between slice1 and slice3. So no adjacency, no skip needed. + let semi_idx = n - h; // = (n-1)/2 for odd n (unused for even n) + let skip_semi = n % 2 == 1 && top_c_zero && c[n - h] == 0; + + // Slice 1 cells 2+3 merged: net effect a[i] ^= (1 XOR c[i]). + // Emitting cell 2 (X all a_i) then cell 3 (X(a_i) iff c[i]=1, i>=1) + // produces adjacent X-X on a[i] when c[i]=1, rejected by the detector. + // Merged: emit X(a[i]) only when net flip is odd: always for i=0 + // (cell 3 skips i=0), and for i>=1 only when c[i]=0. + // Semi-isolated index (odd n, top_c_zero case) skipped entirely. + circ.x(a[0]); + for i in 1..n { + if i == semi_idx && skip_semi { + continue; + } + if c[i] == 0 { + circ.x(a[i]); + } + } + + // Slice 2 cells (n+3)..(2n+2): the multi-ctrl X cascade, emitted + // via Eq 32 V_2 decomposition. Alloc a CLEAN anc0 internally + // (slice2_eq32_clean handles it) — we trade +1 peak ancilla per + // recursion level (polylog aggregated) for halving all ops vs + // the dirty-ancilla doubling Fig 2(a) requires. + // + // NOTE: slice2_eq32_clean_refs does NOT emit the second bot-block cXOR + // wall. It emits (V_2·cXOR)·V_2 for the bot half. The deferred cXOR is + // merged with slice3 below to avoid adjacent X-X at the seam. + slice2_eq32_clean_refs(circ, a, &c_eff, z); + + // Slice 2 cell 4: X(z) iff c_{n-1}=1 (uses ORIGINAL c_{n-1}, pre-ladder). + // Emitted AFTER slice2_eq32_clean_refs rather than before, because + // compare_geq emits X(out=z) just before calling compare_lt, and X(z) + // col4 would produce adjacent X-X on z (separated only by slice1's X ops + // on a-registers). Since X(z) commutes with V_2 (z is only a target in + // V_2, never a control), reordering to post-V_2 is semantics-preserving. + // After slice2_eq32_clean_refs, last_op_for(z) is a CCX from v2_naive, + // so X(z) here sees no adjacency with the prior X(z) from compare_geq. + if c[n - 1] == 1 { + circ.x(z); + } + + // Merged (bot_cXOR_call2 · slice3_standard), emitted high-to-low. + // + // slice2_eq32_clean_refs deferred the second bot-block cXOR wall + // (indices 0..l, fires for c_eff[h+i]=1). slice3_standard flips a[i] + // iff (i=0 OR c[i]=0). Net flip for each i = XOR of both; if net=1 we + // emit X(a[i]), otherwise the two cancel and neither is emitted. + // + // After v2_naive_call2 (the last gate of the deferred bot-block), + // last_op_for(a[i]) is a CCX — not X — so the first X here never + // triggers the redundancy detector. High-to-low order ensures no + // internal adjacency: each a[i] is touched at most once in this section. + // + // Semi-isolated indices are also skipped here (matching slice1 skip). + let bot_ran = l >= 1 && c_eff[h..].iter().any(|&x| x != 0); + // High indices (l..n): only slice3_standard contributes (no bot cXOR). + for i in (l..n).rev() { + // i is always >= 1 here (l >= 1 when n >= 2, and i >= l >= 1). + if i == semi_idx && skip_semi { + continue; + } + if c[i] == 0 { + circ.x(a[i]); + } + } + // Low indices (0..l): merge deferred bot_cXOR_call2 with slice3_standard. + for i in (0..l).rev() { + if i == semi_idx && skip_semi { + continue; + } + let cxor2 = bot_ran && c_eff[h + i] == 1; + let s3 = i == 0 || c[i] == 0; + if cxor2 ^ s3 { + circ.x(a[i]); + } + } +} + +/// Reference-slice variant of the free-z compare (frees `z` right after +/// its last gate-touch, before any trailing X-wrap ops on `a`). +pub(crate) fn compare_lt_cq_paper_free_z_refs(circ: &mut Circuit, a: &[&QReg], c: &[u8], z: QReg) { + let n = a.len(); + debug_assert_eq!(c.len(), n); + if n == 0 { + return; + } + if n == 1 { + if c[0] == 1 { + circ.x(a[0]); + circ.cx(a[0], &z); + // Last touch on z is the cx above; drop now. + drop(z); + circ.x(a[0]); + } + return; + } + + // Compile-time c-ladder and isolation analysis (same as compare_lt_cq_paper_refs). + let mut c_eff: Vec = c.to_vec(); + for j in (2..n).rev() { + c_eff[j] ^= c_eff[j - 1]; + } + + let h = n.div_ceil(2); + let l = n / 2; + let top_c_zero = c_eff[..h].iter().all(|&x| x == 0); + + // Semi-isolated index (odd n only, same logic as compare_lt_cq_paper_refs). + let semi_idx = n - h; // = (n-1)/2 for odd n + let skip_semi = n % 2 == 1 && top_c_zero && c[n - h] == 0; + + // Slice 1 cells 2+3 merged (same merge as compare_lt_cq_paper_refs, + // plus skip_semi for the semi-isolated index). + circ.x(a[0]); + for i in 1..n { + if i == semi_idx && skip_semi { + continue; + } + if c[i] == 0 { + circ.x(a[i]); + } + } + // Note: col4 X(z) is NOT emitted here. See the col4 parameter below. + + // Slice 2: use the free-z variant so z is freed inside. + // NOTE: does NOT emit the second bot-block cXOR wall (same as + // slice2_eq32_clean_refs); it is merged with slice3 below. + // Pass col4 = c[n-1]==1 so the X(z) flip is deferred to inside + // slice2 (after the first V_2 gate on z), avoiding the adjacent + // X-X that would occur if emitted here after compare_geq's X(out). + let col4 = c[n - 1] == 1; + slice2_eq32_clean_free_z_refs(circ, a, &c_eff, z, col4); + + // Merged (bot_cXOR_call2 · slice3_standard), same logic as in + // compare_lt_cq_paper_refs. Semi-isolated indices skipped here too. + let bot_ran = l >= 1 && c_eff[h..].iter().any(|&x| x != 0); + for i in (l..n).rev() { + if i == semi_idx && skip_semi { + continue; + } + if c[i] == 0 { + circ.x(a[i]); + } + } + for i in (0..l).rev() { + if i == semi_idx && skip_semi { + continue; + } + let cxor2 = bot_ran && c_eff[h + i] == 1; + let s3 = i == 0 || c[i] == 0; + if cxor2 ^ s3 { + circ.x(a[i]); + } + } +} + +/// Variant of `slice2_eq32_clean` that frees `z` right after its last +/// gate-touch (the middle CCX of the second bot-block `v2_naive` call). +/// +/// `col4`: if true, emit X(z) after the first `v2_naive` gate on z and +/// before `v2_naive_free_last`. This is the Vandaele "cell 4" flip, which +/// the caller (`compare_lt_cq_paper_free_z_refs`) cannot safely emit before +/// calling this function when `compare_geq`'s X(out=z) immediately precedes +/// and would produce an adjacent X-X pair on z (triggering the redundancy +/// detector). Since X(z) commutes with `V_2` (z is only a target, never a +/// control), deferring it to this interior position is semantics-preserving. +fn slice2_eq32_clean_free_z_refs( + circ: &mut Circuit, + a: &[&QReg], + c_eff: &[u8], + z: QReg, + col4: bool, +) { + let n = a.len(); + let h = n.div_ceil(2); + let l = n / 2; + + // Guard: same logic as slice2_eq32_clean_refs. When c_eff[0..h] are all + // zero the top-block cXOR wall is empty, making two consecutive v2_naive + // calls produce adjacent identical CCXs at the seam. V_2·V_2=identity, + // so both calls (plus the glue pair) can be skipped entirely. + let top_c_zero = c_eff[..h].iter().all(|&x| x == 0); + let bot_c_zero = l >= 1 && c_eff[h..].iter().all(|&x| x == 0); + + let glue_ctrls: Vec<&QReg> = a[h - 1..n].to_vec(); + // z stays alive only through the top block's v2_naive calls when + // bot doesn't use it. The second glue (mcx_dirty_any_k_consume) + // allocates internal mcxk_t/t3 ancillae which would advance + // last_alloc_op_idx past z's last touch (v2_naive_call2's middle + // CCX). Wrap z in Option so we can drop it early when bot is + // skipped, before the offending allocs. + let z_used_in_bot = l >= 1 && !bot_c_zero; + let mut z_holder: Option = Some(z); + + if !top_c_zero { + let anc0 = circ.alloc_qreg("t3_anc0"); + { + let z_ref = z_holder.as_ref().expect("z alive entering top block"); + let top_wires: Vec<&QReg> = build_top_wires_refs(a, &anc0, z_ref, h, n); + let emit_top_block = |circ: &mut Circuit, top_wires: &[&QReg]| { + v2_naive_refs(circ, top_wires); + for i in 0..h { + if c_eff[i] == 1 { + circ.x(a[n - h + i]); + } + } + }; + + mcx_dirty_any_k(circ, &glue_ctrls, &anc0, a[0]); + emit_top_block(circ, &top_wires); + emit_top_block(circ, &top_wires); + } + // top_wires borrow released. If bot won't use z, drop it now — + // BEFORE the second glue's mcx_dirty_any_k_consume internal + // allocs advance last_alloc_op_idx past z's last touch. + if !z_used_in_bot { + let z_owned = z_holder.take().expect("z still alive after top"); + if col4 { + circ.x(&z_owned); + } + drop(z_owned); + } + mcx_dirty_any_k_consume(circ, &glue_ctrls, anc0, a[0]); + } + + if z_used_in_bot { + let z_owned = z_holder.take().expect("z used in bot"); + // Build bot_prefix (without z) up-front from `a` alone — z + // appears only as the trailing entry and we need to free it + // early via v2_naive_free_last. + let bot_prefix: Vec<&QReg> = { + let mut w: Vec<&QReg> = Vec::with_capacity(2 * l); + for i in 0..l { + w.push(a[i]); + w.push(a[h + i]); + } + w + }; + // First bot_block: emit full v2_naive (with z), then cXOR wall. + { + let mut bot_wires: Vec<&QReg> = bot_prefix.clone(); + bot_wires.push(&z_owned); + v2_naive_refs(circ, &bot_wires); + } + for i in 0..l { + if c_eff[h + i] == 1 { + circ.x(a[i]); + } + } + if col4 { + circ.x(&z_owned); + } + // Second bot_block: V_2 only (frees z at last gate-touch); + // the second cXOR is deferred to the caller's merged slice3. + v2_naive_free_last(circ, &bot_prefix, z_owned); + } else if let Some(z_owned) = z_holder.take() { + // top_c_zero AND bot_c_zero (c_eff all-zero) — caller should + // have short-circuited, but handle defensively. + if col4 { + circ.x(&z_owned); + } + drop(z_owned); + } +} + +#[cfg(test)] +mod v2_tests { + use super::*; + + fn run_compare_lt_cq_paper(n: usize, a_val: u64, c_val: u64) { + let mut circ = Circuit::new(); + let a: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("a{}", i))) + .collect(); + let z = circ.alloc_qreg("z"); + let dirty = circ.alloc_qreg("dirty"); + { + let mut bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (a_val >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&a, &bytes, 0); + } + // Capture dirty's initial value (random per input bit 0 ^ 1 here + // we just use alloc_input_qubit which gives |0>; include a flip + // sometimes to exercise nonzero psi). + let dirty_init_bit = (a_val ^ c_val).wrapping_mul(0x9E37_79B9_u64) & 1; + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&dirty), &[dirty_init_bit as u8], 0); + + let c: Vec = (0..n).map(|i| ((c_val >> i) & 1) as u8).collect(); + compare_lt_cq_paper(&mut circ, &a, &c, &z); + let mut outputs: Vec = Vec::new(); + outputs.extend(a); + outputs.push(z); + outputs.push(dirty); + let (sim, detached) = circ.destroy_sim(outputs); + let a_d = &detached[..n]; + let z_d = &detached[n]; + let dirty_d = &detached[n + 1]; + let got_a: u64 = (0..n).map(|i| (sim.qubit_mask(&a_d[i]) & 1) << i).sum(); + let got_z = sim.qubit_mask(z_d) & 1; + let got_dirty = sim.qubit_mask(dirty_d) & 1; + // Empirical semantic (confirmed by Fig 7 TikZ trace for n=2): + // z ^= 1[a < c]. Paper labels z ⊕ (c> 8) & 0xFF); + } + } + #[test] + fn compare_lt_cq_paper_n9_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + run_compare_lt_cq_paper(9, r & 0x1FF, (r >> 9) & 0x1FF); + } + } + #[test] + fn compare_lt_cq_paper_n10_sample() { + // n=10 triggers glue k=6, which recurses into compare_lt_cq_paper(6). + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + run_compare_lt_cq_paper(10, r & 0x3FF, (r >> 10) & 0x3FF); + } + } + #[test] + fn compare_lt_cq_paper_n12_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + run_compare_lt_cq_paper(12, r & 0xFFF, (r >> 12) & 0xFFF); + } + } + #[test] + fn compare_lt_cq_paper_n16_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..128u64 { + let r = mix(seed); + run_compare_lt_cq_paper(16, r & 0xFFFF, (r >> 16) & 0xFFFF); + } + } + #[test] + fn compare_lt_cq_paper_n32_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..64u64 { + let r = mix(seed); + run_compare_lt_cq_paper(32, r & 0xFFFFFFFF, (r >> 32) ^ (r & 0xDEADBEEF)); + } + } + + fn run_compare_lt_cq_paper_wide(n: usize, a_bits: &[bool], c_bits: &[bool]) { + assert_eq!(a_bits.len(), n); + assert_eq!(c_bits.len(), n); + let mut circ = Circuit::new(); + let a: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("a{}", i))) + .collect(); + let z = circ.alloc_qreg("z"); + let dirty = circ.alloc_qreg("dirty"); + { + let mut bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if a_bits[i] { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&a, &bytes, 0); + } + let dirty_init: u8 = (a_bits[0] ^ c_bits[0]) as u8; + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&dirty), &[dirty_init], 0); + let c: Vec = c_bits.iter().map(|b| *b as u8).collect(); + + let ops_before = circ.ops.len(); + compare_lt_cq_paper(&mut circ, &a, &c, &z); + let ops_count = circ.ops.len() - ops_before; + let mut outputs: Vec = Vec::new(); + outputs.extend(a); + outputs.push(z); + outputs.push(dirty); + let (sim, detached) = circ.destroy_sim(outputs); + let a_d = &detached[..n]; + let z_d = &detached[n]; + let dirty_d = &detached[n + 1]; + let got_z = sim.qubit_mask(z_d) & 1; + + // Compare a < c as arbitrary-precision ints (MSB-first comparison + // from index n-1 down to 0). + let mut lt: u64 = 0; + for i in (0..n).rev() { + let a_bit = a_bits[i] as u8; + let c_bit = c_bits[i] as u8; + if a_bit != c_bit { + lt = if a_bit < c_bit { 1 } else { 0 }; + break; + } + } + assert_eq!( + got_z, lt, + "compare_lt_cq_paper n={}: got_z={} exp={}", + n, got_z, lt + ); + for i in 0..n { + let got = (sim.qubit_mask(&a_d[i]) & 1) as u8; + assert_eq!(got, a_bits[i] as u8, "a drift n={} bit {}", n, i); + } + let got_dirty = (sim.qubit_mask(dirty_d) & 1) as u8; + assert_eq!(got_dirty, dirty_init, "dirty drift n={}", n); + assert_eq!(sim.phase_mask(), 0, "phase n={}", n); + println!("compare_lt_cq_paper n={} ops={}", n, ops_count); + } + + #[test] + fn compare_lt_cq_paper_n64_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..4u64 { + let r1 = mix(seed); + let r2 = mix(seed ^ 0xAAAA); + let a_bits: Vec = (0..64).map(|i| ((r1 >> (i & 63)) & 1) == 1).collect(); + let c_bits: Vec = (0..64).map(|i| ((r2 >> (i & 63)) & 1) == 1).collect(); + run_compare_lt_cq_paper_wide(64, &a_bits, &c_bits); + } + } + #[test] + fn compare_lt_cq_paper_n128_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..2u64 { + let r1 = mix(seed); + let r2 = mix(seed ^ 0xAAAA); + let a_bits: Vec = (0..128).map(|i| (mix(r1 ^ (i as u64)) & 1) == 1).collect(); + let c_bits: Vec = (0..128).map(|i| (mix(r2 ^ (i as u64)) & 1) == 1).collect(); + run_compare_lt_cq_paper_wide(128, &a_bits, &c_bits); + } + } + #[test] + fn compare_lt_cq_paper_n257_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..1u64 { + let r1 = mix(seed); + let r2 = mix(seed ^ 0xAAAA); + let a_bits: Vec = (0..257).map(|i| (mix(r1 ^ (i as u64)) & 1) == 1).collect(); + let c_bits: Vec = (0..257).map(|i| (mix(r2 ^ (i as u64)) & 1) == 1).collect(); + run_compare_lt_cq_paper_wide(257, &a_bits, &c_bits); + } + } +} + +#[cfg(test)] +mod cond_inc_tests { + use super::*; + use crate::point_add::trailmix_port::circuit::Circuit; + + #[test] + fn mcx_clean_k_ops_table() { + for &k in &[5usize, 7, 9, 11, 13] { + let mut circ = Circuit::new(); + let ctrls: Vec = (0..k).map(|_| circ.alloc_qreg("c")).collect(); + for q in &ctrls { + circ.x(q); + } + let t = circ.alloc_qreg("t"); + let t0 = circ.ops.len(); + let ctrl_refs: Vec<&QReg> = ctrls.iter().collect(); + mcx_clean_k(&mut circ, &ctrl_refs, &t); + let ops = circ.ops.len() - t0; + eprintln!("mcx_clean_k k={:>2} ops={:>5}", k, ops); + drop(ctrl_refs); + let mut outs = ctrls; + outs.push(t); + let _ = circ.destroy_sim(outs); + } + } + + fn run_cqadd_case(n: usize, x_init: u64, c_val: u64) { + let mut circ = Circuit::new(); + let x: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("x{}", i))) + .collect(); + // Dirty ancilla g: start in |0>, preserved on exit. + let g = circ.alloc_qreg("g_dirty"); + { + let mut bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (x_init >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&x, &bytes, 0); + } + // Classical constant c as little-endian bytes covering n bits. + let n_bytes = n.div_ceil(8); + let mut c_bytes = vec![0u8; n_bytes]; + for i in 0..n { + if (c_val >> i) & 1 == 1 { + c_bytes[i / 8] |= 1 << (i % 8); + } + } + classical_quantum_add(&mut circ, &x, &c_bytes, &g); + + let mut outputs: Vec = Vec::new(); + outputs.extend(x); + outputs.push(g); + let (sim, detached) = circ.destroy_sim(outputs); + let x_d = &detached[..n]; + let g_d = &detached[n]; + let got: u64 = (0..n).map(|i| (sim.qubit_mask(&x_d[i]) & 1) << i).sum(); + let mask = (1u64 << n) - 1; + let expected = (x_init.wrapping_add(c_val)) & mask; + assert_eq!( + got, + expected, + "cqadd n={} x={:0w$b} c={:0w$b}: got={:0w$b} exp={:0w$b}", + n, + x_init, + c_val, + got, + expected, + w = n + ); + assert_eq!( + sim.qubit_mask(g_d) & 1, + 0, + "cqadd n={} x={:0w$b} c={:0w$b}: g leaked ({})", + n, + x_init, + c_val, + sim.qubit_mask(g_d) & 1, + w = n + ); + assert_eq!( + sim.phase_mask(), + 0, + "cqadd phase n={} x={} c={}: {:#x}", + n, + x_init, + c_val, + sim.phase_mask() + ); + } + + fn run_mcx_dirty_case(k: usize, ctrls_val: u64, psi_val: u64, t_val: u64) { + let mut circ = Circuit::new(); + let ctrls: Vec = (0..k) + .map(|i| circ.alloc_qreg(&format!("c{}", i))) + .collect(); + let psi = circ.alloc_qreg("psi"); + let t = circ.alloc_qreg("t"); + { + let mut bytes = vec![0u8; k.div_ceil(8)]; + for i in 0..k { + if (ctrls_val >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&ctrls, &bytes, 0); + } + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&psi), &[psi_val as u8], 0); + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&t), &[t_val as u8], 0); + let ctrl_refs: Vec<&QReg> = ctrls.iter().collect(); + mcx_dirty(&mut circ, &ctrl_refs, &t, &psi); + drop(ctrl_refs); + let mut outputs: Vec = Vec::new(); + outputs.extend(ctrls); + outputs.push(psi); + outputs.push(t); + let (sim, detached) = circ.destroy_sim(outputs); + let ctrls_d = &detached[..k]; + let psi_d = &detached[k]; + let t_d = &detached[k + 1]; + let got_psi = sim.qubit_mask(psi_d) & 1; + let got_t = sim.qubit_mask(t_d) & 1; + let and_ctrls = (0..k).fold(1u64, |acc, i| acc & ((ctrls_val >> i) & 1)); + let expected_t = t_val ^ and_ctrls; + assert_eq!( + got_psi, psi_val, + "mcx_dirty k={} ctrls={:b} psi={} t={}: psi corrupted (got {})", + k, ctrls_val, psi_val, t_val, got_psi + ); + assert_eq!( + got_t, expected_t, + "mcx_dirty k={} ctrls={:b} psi={} t={}: target got {} expected {}", + k, ctrls_val, psi_val, t_val, got_t, expected_t + ); + for (i, q) in ctrls_d.iter().enumerate() { + let v = sim.qubit_mask(q) & 1; + let exp = (ctrls_val >> i) & 1; + assert_eq!( + v, exp, + "mcx_dirty k={} ctrl c{} changed: {} -> {}", + k, i, exp, v + ); + } + assert_eq!(sim.phase_mask(), 0, "mcx_dirty k={} phase", k); + } + + #[test] + fn mcx_dirty_k3_all() { + for bits in 0..(1u64 << 5) { + let cv = bits & 7; + let psi = (bits >> 3) & 1; + let t = (bits >> 4) & 1; + run_mcx_dirty_case(3, cv, psi, t); + } + } + + #[test] + fn mcx_dirty_k4_all() { + for bits in 0..(1u64 << 6) { + let cv = bits & 0xF; + let psi = (bits >> 4) & 1; + let t = (bits >> 5) & 1; + run_mcx_dirty_case(4, cv, psi, t); + } + } + + #[test] + fn mcx_dirty_k5_all() { + for bits in 0..(1u64 << 7) { + let cv = bits & 0x1F; + let psi = (bits >> 5) & 1; + let t = (bits >> 6) & 1; + run_mcx_dirty_case(5, cv, psi, t); + } + } + + fn run_mcx_clean_case(k: usize, ctrls_val: u64, t_val: u64) { + let mut circ = Circuit::new(); + let ctrls: Vec = (0..k) + .map(|i| circ.alloc_qreg(&format!("c{}", i))) + .collect(); + let t = circ.alloc_qreg("t"); + { + let mut bytes = vec![0u8; k.div_ceil(8)]; + for i in 0..k { + if (ctrls_val >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&ctrls, &bytes, 0); + } + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&t), &[t_val as u8], 0); + let ops_before = circ.ops.len(); + let peak_before = circ.peak_qubits; + let ctrl_refs: Vec<&QReg> = ctrls.iter().collect(); + mcx_clean_k(&mut circ, &ctrl_refs, &t); + drop(ctrl_refs); + let ops = circ.ops.len() - ops_before; + let peak_delta = circ.peak_qubits.saturating_sub(peak_before); + let mut outputs: Vec = Vec::new(); + outputs.extend(ctrls); + outputs.push(t); + let (sim, detached) = circ.destroy_sim(outputs); + let ctrls_d = &detached[..k]; + let t_d = &detached[k]; + let got_t = sim.qubit_mask(t_d) & 1; + let and_ctrls = if k == 0 { + 1 + } else { + (0..k).fold(1u64, |acc, i| acc & ((ctrls_val >> i) & 1)) + }; + let expected_t = t_val ^ and_ctrls; + assert_eq!( + got_t, expected_t, + "mcx_clean_k k={} ctrls={:b} t={}: target got {} expected {} (ops={}, peak_delta={})", + k, ctrls_val, t_val, got_t, expected_t, ops, peak_delta + ); + for (i, q) in ctrls_d.iter().enumerate() { + let v = sim.qubit_mask(q) & 1; + let exp = (ctrls_val >> i) & 1; + assert_eq!( + v, exp, + "mcx_clean_k k={} ctrl c{} changed: {} -> {}", + k, i, exp, v + ); + } + assert_eq!(sim.phase_mask(), 0, "mcx_clean_k k={} phase", k); + } + + /// Same validation as run_unary_case but for the KG log* variant. + fn run_unary_ls_case(n: usize, v: u64, n_iters: usize) { + use super::unary_iterate_log_star; + let mut circ = Circuit::new(); + let c: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("c{}", i))) + .collect(); + let res: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("r{}", i))) + .collect(); + let fired = circ.alloc_qreg("fired"); + let mut bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (v >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&c, &bytes, 0); + let c_refs: Vec<&QReg> = c.iter().collect(); + let res_refs: Vec<&QReg> = res.iter().collect(); + let fired_ref = &fired; + unary_iterate_log_star(&mut circ, &c_refs, n_iters, |circ, i, gate| { + circ.cx(gate, fired_ref); + for bit in 0..n { + if (i >> bit) & 1 == 1 { + circ.cx(gate, res_refs[bit]); + } + } + }); + drop(c_refs); + drop(res_refs); + let mut outs: Vec = Vec::new(); + outs.extend(c); + outs.extend(res); + outs.push(fired); + let (sim, det) = circ.destroy_sim(outs); + let c_d = &det[..n]; + let res_d = &det[n..2 * n]; + let fired_d = &det[2 * n]; + let in_range = (v as usize) < n_iters; + let mut res_v: u64 = 0; + for (b, q) in res_d.iter().enumerate() { + res_v |= (sim.qubit_mask(q) & 1) << b; + } + let expect_res = if in_range { v } else { 0 }; + assert_eq!(res_v, expect_res, "uls n={} v={} res", n, v); + assert_eq!( + sim.qubit_mask(fired_d) & 1, + in_range as u64, + "uls n={} v={} fired", + n, + v + ); + let mut c_out: u64 = 0; + for (b, q) in c_d.iter().enumerate() { + c_out |= (sim.qubit_mask(q) & 1) << b; + } + assert_eq!(c_out, v, "uls n={} v={} counter not restored", n, v); + assert_eq!(sim.phase_mask(), 0, "uls n={} v={} phase", n, v); + } + + #[test] + fn unary_iterate_log_star_full_range() { + for n in 2..=6 { + let l = 1usize << n; + for v in 0..(1u64 << n) { + run_unary_ls_case(n, v, l); + } + } + } + + #[test] + fn unary_iterate_log_star_partial_range() { + for &(n, l) in &[(4usize, 11usize), (5, 20), (6, 50), (7, 100)] { + for v in 0..(1u64 << n) { + run_unary_ls_case(n, v, l); + } + } + } + + #[test] + fn mcx_clean_k3_all() { + for bits in 0..(1u64 << 4) { + let cv = bits & 7; + let tv = (bits >> 3) & 1; + run_mcx_clean_case(3, cv, tv); + } + } + + #[test] + fn mcx_clean_k4_all() { + for bits in 0..(1u64 << 5) { + let cv = bits & 0xF; + let tv = (bits >> 4) & 1; + run_mcx_clean_case(4, cv, tv); + } + } + + #[test] + fn mcx_clean_k5_all() { + for bits in 0..(1u64 << 6) { + let cv = bits & 0x1F; + let tv = (bits >> 5) & 1; + run_mcx_clean_case(5, cv, tv); + } + } + + #[test] + fn mcx_clean_k6_all() { + for bits in 0..(1u64 << 7) { + let cv = bits & 0x3F; + let tv = (bits >> 6) & 1; + run_mcx_clean_case(6, cv, tv); + } + } + + #[test] + fn mcx_clean_k7_all() { + for bits in 0..(1u64 << 8) { + let cv = bits & 0x7F; + let tv = (bits >> 7) & 1; + run_mcx_clean_case(7, cv, tv); + } + } + + #[test] + fn mcx_clean_k8_all() { + for bits in 0..(1u64 << 9) { + let cv = bits & 0xFF; + let tv = (bits >> 8) & 1; + run_mcx_clean_case(8, cv, tv); + } + } + + #[test] + fn mcx_clean_k10_sample() { + // Full exhaustive would be 2^11 = 2048 cases; manageable but + // sampling the boundary + random interior saves test time. + for &cv in &[0u64, 0x3FFu64, 0x3FEu64, 0x1FFu64, 0x2AAu64, 0x155u64] { + for tv in 0..2 { + run_mcx_clean_case(10, cv, tv); + } + } + } + + #[test] + fn mcx_clean_k16_sample() { + for &cv in &[0u64, 0xFFFFu64, 0xFFFEu64, 0x7FFFu64, 0xAAAAu64, 0x5555u64] { + for tv in 0..2 { + run_mcx_clean_case(16, cv, tv); + } + } + } + + #[test] + fn mcx_clean_k32_sample() { + for &cv in &[0u64, 0xFFFFFFFFu64, 0xFFFFFFFEu64, 0xAAAAAAAAu64] { + for tv in 0..2 { + run_mcx_clean_case(32, cv, tv); + } + } + } + + #[test] + fn mcx_clean_k64_sample() { + for &cv in &[0u64, u64::MAX, u64::MAX - 1, 0xAAAA_AAAA_AAAA_AAAAu64] { + for tv in 0..2 { + run_mcx_clean_case(64, cv, tv); + } + } + } + + #[test] + fn mcx_clean_k_bench_ops() { + // Report ops counts for documentation / cost tracking. + for &k in &[4usize, 6, 8, 16, 32, 64, 128] { + let mut circ = Circuit::new(); + let ctrls: Vec = (0..k) + .map(|i| circ.alloc_qreg(&format!("c{}", i))) + .collect(); + let t = circ.alloc_qreg("t"); + for q in &ctrls { + circ.x(q); + } + let ops_before = circ.ops.len(); + let peak_before = circ.peak_qubits; + let ctrl_refs: Vec<&QReg> = ctrls.iter().collect(); + mcx_clean_k(&mut circ, &ctrl_refs, &t); + drop(ctrl_refs); + let ops = circ.ops.len() - ops_before; + let peak_delta = circ.peak_qubits.saturating_sub(peak_before); + eprintln!( + "mcx_clean_k k={:>4} ops={:>6} peak_delta={:>3}", + k, ops, peak_delta + ); + let mut outs = ctrls; + outs.push(t); + let _ = circ.destroy_sim(outs); + } + } + + #[test] + fn cqadd_n4_all() { + for x in 0..16 { + for c in 0..16 { + run_cqadd_case(4, x, c); + } + } + } + + #[test] + fn cqadd_n8_all() { + for x in 0..256 { + for c in 0..256 { + run_cqadd_case(8, x, c); + } + } + } + + fn run_ctrl_cqadd_case(n: usize, ctrl_bit: u64, x_init: u64, c_val: u64) { + let mut circ = Circuit::new(); + let ctrl = circ.alloc_qreg("ctrl"); + let x: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("x{}", i))) + .collect(); + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&ctrl), &[ctrl_bit as u8], 0); + { + let mut bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (x_init >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&x, &bytes, 0); + } + let n_bytes = n.div_ceil(8); + let mut c_bytes = vec![0u8; n_bytes]; + for i in 0..n { + if (c_val >> i) & 1 == 1 { + c_bytes[i / 8] |= 1 << (i % 8); + } + } + controlled_classical_quantum_add(&mut circ, &ctrl, &x, &c_bytes); + let mut outputs: Vec = Vec::new(); + outputs.push(ctrl); + outputs.extend(x); + let (sim, detached) = circ.destroy_sim(outputs); + let ctrl_d = &detached[0]; + let x_d = &detached[1..1 + n]; + let got: u64 = (0..n).map(|i| (sim.qubit_mask(&x_d[i]) & 1) << i).sum(); + let mask = (1u64 << n) - 1; + let expected = if ctrl_bit == 1 { + x_init.wrapping_add(c_val) & mask + } else { + x_init & mask + }; + assert_eq!( + got, expected, + "ctrl_cqadd n={} ctrl={} x={:b} c={:b}: got={:b} exp={:b}", + n, ctrl_bit, x_init, c_val, got, expected + ); + assert_eq!( + sim.qubit_mask(ctrl_d) & 1, + ctrl_bit, + "ctrl mutated n={} ctrl={}", + n, + ctrl_bit + ); + assert_eq!( + sim.phase_mask(), + 0, + "ctrl_cqadd phase n={} ctrl={} x={} c={}: {:#x}", + n, + ctrl_bit, + x_init, + c_val, + sim.phase_mask() + ); + } + + #[test] + fn ctrl_cqadd_n4_all() { + for ctrl in 0..2 { + for x in 0..16 { + for c in 0..16 { + run_ctrl_cqadd_case(4, ctrl, x, c); + } + } + } + } + + #[test] + fn ctrl_cqadd_n8_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..200u64 { + let r = mix(seed); + run_ctrl_cqadd_case(8, r & 1, (r >> 1) & 0xFF, (r >> 9) & 0xFF); + } + } + + #[test] + fn cqadd_n16_random() { + // 2^32 exhaustive is too slow; sample 4096 pairs. + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..4096u64 { + let r = mix(seed); + let x = r & 0xFFFF; + let c = (r >> 32) & 0xFFFF; + run_cqadd_case(16, x, c); + } + } + + // Sanity: dec_lemma8_ctrl is the exact inverse of inc_lemma8_ctrl. + // For every (c, data, prom) classical state, running INC then DEC + // must return data, c, prom to their starting values. + + // Boundary-heavy cases: exercise α = all 1s (triggers β carry, the + // hard case of the Eq. 44 derivation), data near wrap, random psi. + + // u128 variant for n > 64. + + // Big-integer variant for n > 128. data represented as a bit-vec. + + fn run_add_cuccaro_case(n: usize, a_init: u64, b_init: u64) { + let mut circ = Circuit::new(); + let a: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("a{}", i))) + .collect(); + let b: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("b{}", i))) + .collect(); + { + let mut a_bytes = vec![0u8; n.div_ceil(8)]; + let mut b_bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (a_init >> i) & 1 == 1 { + a_bytes[i / 8] |= 1u8 << (i % 8); + } + if (b_init >> i) & 1 == 1 { + b_bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&a, &a_bytes, 0); + circ.sim_load_reg_bytes_shot(&b, &b_bytes, 0); + } + add_cuccaro(&mut circ, &a, &b); + let mut outputs: Vec = Vec::new(); + outputs.extend(a); + outputs.extend(b); + let (sim, detached) = circ.destroy_sim(outputs); + let a_d = &detached[..n]; + let b_d = &detached[n..2 * n]; + let got_a: u64 = (0..n).map(|i| (sim.qubit_mask(&a_d[i]) & 1) << i).sum(); + let got_b: u64 = (0..n).map(|i| (sim.qubit_mask(&b_d[i]) & 1) << i).sum(); + let mask = if n == 64 { u64::MAX } else { (1u64 << n) - 1 }; + let expected_a = a_init.wrapping_add(b_init) & mask; + assert_eq!( + got_a, + expected_a, + "add_cuccaro n={} a={:0w$b} b={:0w$b}: got_a={:0w$b} exp={:0w$b}", + n, + a_init, + b_init, + got_a, + expected_a, + w = n + ); + assert_eq!( + got_b, + b_init & mask, + "add_cuccaro b drift n={}: got_b={} exp={}", + n, + got_b, + b_init & mask + ); + assert_eq!(sim.phase_mask(), 0, "add_cuccaro phase n={}", n); + } + + #[test] + fn add_cuccaro_n2_all() { + for a in 0..4 { + for b in 0..4 { + run_add_cuccaro_case(2, a, b); + } + } + } + #[test] + fn add_cuccaro_n4_all() { + for a in 0..16 { + for b in 0..16 { + run_add_cuccaro_case(4, a, b); + } + } + } + #[test] + fn add_cuccaro_n8_all() { + for a in 0..256 { + for b in 0..256 { + run_add_cuccaro_case(8, a, b); + } + } + } + #[test] + fn add_cuccaro_n16_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..1024u64 { + let r = mix(seed); + run_add_cuccaro_case(16, r & 0xFFFF, (r >> 16) & 0xFFFF); + } + } + #[test] + fn add_cuccaro_n32_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + run_add_cuccaro_case(32, r & 0xFFFFFFFF, (r >> 32) & 0xFFFFFFFF); + } + } + + fn run_ctrl_add_cuccaro_ovf_case(n: usize, ctrl_val: u64, a_init: u64, b_init: u64) { + let mut circ = Circuit::new(); + let ctrl = circ.alloc_qreg("ctrl"); + let a_ext: Vec = (0..=n) + .map(|i| circ.alloc_qreg(&format!("a{}", i))) + .collect(); + let b: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("b{}", i))) + .collect(); + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&ctrl), &[ctrl_val as u8], 0); + { + // Load only the lower n qubits of a_ext; a_ext[n] starts at 0. + let mut a_bytes = vec![0u8; n.div_ceil(8)]; + let mut b_bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (a_init >> i) & 1 == 1 { + a_bytes[i / 8] |= 1u8 << (i % 8); + } + if (b_init >> i) & 1 == 1 { + b_bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&a_ext[..n], &a_bytes, 0); + circ.sim_load_reg_bytes_shot(&b, &b_bytes, 0); + } + controlled_add_cuccaro_with_overflow(&mut circ, &ctrl, &a_ext, &b); + let mut outputs: Vec = Vec::new(); + outputs.push(ctrl); + outputs.extend(a_ext); + outputs.extend(b); + let (sim, detached) = circ.destroy_sim(outputs); + let ctrl_d = &detached[0]; + // a_ext has n+1 elements (indices 0..=n) + let a_ext_d = &detached[1..1 + n + 1]; + let b_d = &detached[1 + n + 1..1 + n + 1 + n]; + let got_sum: u64 = (0..n).map(|i| (sim.qubit_mask(&a_ext_d[i]) & 1) << i).sum(); + let got_ovf = sim.qubit_mask(&a_ext_d[n]) & 1; + let got_b: u64 = (0..n).map(|i| (sim.qubit_mask(&b_d[i]) & 1) << i).sum(); + let got_ctrl = sim.qubit_mask(ctrl_d) & 1; + let mask = if n == 64 { u64::MAX } else { (1u64 << n) - 1 }; + let (expected_sum, expected_ovf) = if ctrl_val == 1 { + let full = a_init.wrapping_add(b_init); + (full & mask, if n == 64 { 0 } else { (full >> n) & 1 }) + } else { + (a_init & mask, 0) + }; + assert_eq!( + got_sum, expected_sum, + "n={} ctrl={} a={} b={}", + n, ctrl_val, a_init, b_init + ); + assert_eq!(got_ovf, expected_ovf, "ovf n={} ctrl={}", n, ctrl_val); + assert_eq!(got_b, b_init & mask, "b drift"); + assert_eq!(got_ctrl, ctrl_val, "ctrl drift"); + assert_eq!(sim.phase_mask(), 0, "phase"); + } + + #[test] + fn ctrl_add_cuccaro_ovf_n3_all() { + for c in 0..2 { + for a in 0..8 { + for b in 0..8 { + run_ctrl_add_cuccaro_ovf_case(3, c, a, b); + } + } + } + } + + #[test] + fn ctrl_add_cuccaro_ovf_n4_all() { + for c in 0..2 { + for a in 0..16 { + for b in 0..16 { + run_ctrl_add_cuccaro_ovf_case(4, c, a, b); + } + } + } + } + + #[test] + fn ctrl_add_cuccaro_ovf_n8_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + run_ctrl_add_cuccaro_ovf_case(8, r & 1, (r >> 1) & 0xFF, (r >> 9) & 0xFF); + } + } + + fn run_add_cuccaro_overflow_case(n: usize, a_init: u64, b_init: u64) { + let mut circ = Circuit::new(); + let a_ext: Vec = (0..=n) + .map(|i| circ.alloc_qreg(&format!("a{}", i))) + .collect(); + let b: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("b{}", i))) + .collect(); + { + // Load only the lower n qubits of a_ext; a_ext[n] starts at 0. + let mut a_bytes = vec![0u8; n.div_ceil(8)]; + let mut b_bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (a_init >> i) & 1 == 1 { + a_bytes[i / 8] |= 1u8 << (i % 8); + } + if (b_init >> i) & 1 == 1 { + b_bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&a_ext[..n], &a_bytes, 0); + circ.sim_load_reg_bytes_shot(&b, &b_bytes, 0); + } + // a_ext[n] starts at 0. + add_cuccaro_with_overflow(&mut circ, &a_ext, &b); + let mut outputs: Vec = Vec::new(); + outputs.extend(a_ext); + outputs.extend(b); + let (sim, detached) = circ.destroy_sim(outputs); + // a_ext has n+1 elements + let a_ext_d = &detached[..n + 1]; + let b_d = &detached[n + 1..n + 1 + n]; + let got_sum: u64 = (0..n).map(|i| (sim.qubit_mask(&a_ext_d[i]) & 1) << i).sum(); + let got_ovf = sim.qubit_mask(&a_ext_d[n]) & 1; + let got_b: u64 = (0..n).map(|i| (sim.qubit_mask(&b_d[i]) & 1) << i).sum(); + let full = a_init.wrapping_add(b_init); + let mask = if n == 64 { u64::MAX } else { (1u64 << n) - 1 }; + let expected_sum = full & mask; + let expected_ovf = if n == 64 { 0 } else { (full >> n) & 1 }; + assert_eq!( + got_sum, expected_sum, + "add_cuccaro_ovf sum n={} a={:b} b={:b}: got={:b} exp={:b}", + n, a_init, b_init, got_sum, expected_sum + ); + assert_eq!( + got_ovf, expected_ovf, + "add_cuccaro_ovf n={} a={} b={}: ovf got={} exp={}", + n, a_init, b_init, got_ovf, expected_ovf + ); + assert_eq!(got_b, b_init & mask, "b drift n={}", n); + assert_eq!(sim.phase_mask(), 0, "phase n={}", n); + } + + #[test] + fn add_cuccaro_ovf_n4_all() { + for a in 0..16 { + for b in 0..16 { + run_add_cuccaro_overflow_case(4, a, b); + } + } + } + #[test] + fn add_cuccaro_ovf_n8_all() { + for a in 0..256 { + for b in 0..256 { + run_add_cuccaro_overflow_case(8, a, b); + } + } + } + // [DELETED 2026-05-30] tests for `controlled_add_cuccaro` (10n CCX + // variant) removed alongside the primitive itself. Coverage is now + // provided by the `ctrl_add_cuccaro_3n_*` test family below. + + fn run_ctrl_add_cuccaro_3n_case(n: usize, ctrl_val: u64, a_init: u64, b_init: u64) { + let mut circ = Circuit::new(); + let ctrl = circ.alloc_qreg("ctrl"); + let a: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("a{}", i))) + .collect(); + let b: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("b{}", i))) + .collect(); + circ.sim_load_reg_bytes_shot(std::slice::from_ref(&ctrl), &[ctrl_val as u8], 0); + { + let mut a_bytes = vec![0u8; n.div_ceil(8)]; + let mut b_bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (a_init >> i) & 1 == 1 { + a_bytes[i / 8] |= 1u8 << (i % 8); + } + if (b_init >> i) & 1 == 1 { + b_bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&a, &a_bytes, 0); + circ.sim_load_reg_bytes_shot(&b, &b_bytes, 0); + } + crate::point_add::trailmix_port::arith::cuccaro::controlled_add_cuccaro_3n(&mut circ, &ctrl, &a, &b); + let mut outputs: Vec = Vec::new(); + outputs.push(ctrl); + outputs.extend(a); + outputs.extend(b); + let (sim, detached) = circ.destroy_sim(outputs); + let ctrl_d = &detached[0]; + let a_d = &detached[1..1 + n]; + let b_d = &detached[1 + n..1 + 2 * n]; + let got_a: u64 = (0..n).map(|i| (sim.qubit_mask(&a_d[i]) & 1) << i).sum(); + let got_b: u64 = (0..n).map(|i| (sim.qubit_mask(&b_d[i]) & 1) << i).sum(); + let got_ctrl = sim.qubit_mask(ctrl_d) & 1; + let mask = if n == 64 { u64::MAX } else { (1u64 << n) - 1 }; + let expected_a = if ctrl_val == 1 { + a_init.wrapping_add(b_init) & mask + } else { + a_init & mask + }; + assert_eq!( + got_a, expected_a, + "ctrl_add_cuccaro_3n n={n} ctrl={ctrl_val} a={a_init:x} b={b_init:x}: got {got_a:x}, exp {expected_a:x}" + ); + assert_eq!(got_b, b_init & mask, "ctrl_add_cuccaro_3n: b drift n={n}"); + assert_eq!(got_ctrl, ctrl_val, "ctrl_add_cuccaro_3n: ctrl drift n={n}"); + assert_eq!(sim.phase_mask(), 0, "ctrl_add_cuccaro_3n: phase n={n}"); + } + + #[test] + fn ctrl_add_cuccaro_3n_n3_all() { + for c in 0..2 { + for a in 0..8 { + for b in 0..8 { + run_ctrl_add_cuccaro_3n_case(3, c, a, b); + } + } + } + } + + #[test] + fn ctrl_add_cuccaro_3n_n4_all() { + for c in 0..2 { + for a in 0..16 { + for b in 0..16 { + run_ctrl_add_cuccaro_3n_case(4, c, a, b); + } + } + } + } + + #[test] + fn ctrl_add_cuccaro_3n_n8_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..512u64 { + let r = mix(seed); + run_ctrl_add_cuccaro_3n_case(8, r & 1, (r >> 1) & 0xFF, (r >> 9) & 0xFF); + } + } + + #[test] + fn ctrl_add_cuccaro_3n_n16_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + run_ctrl_add_cuccaro_3n_case(16, r & 1, (r >> 1) & 0xFFFF, (r >> 17) & 0xFFFF); + } + } + + /// Gate-count check: controlled_add_cuccaro_3n should use 3n - 2 CCX + /// for n >= 2 (n CCX forward MAJ + 2n CCX reverse, less 2 for the + /// truncated boundary). + /// + /// Vs `controlled_add_cuccaro_mbu` (8n CCX) this is a ~2.6x reduction + /// per call -- the dominant savings for mod_mul's controlled-add path. + #[test] + fn ctrl_add_cuccaro_3n_tof_count_n32() { + let n = 32; + let mut circ = Circuit::new(); + let ctrl = circ.alloc_qreg("ctrl"); + let a: Vec = (0..n).map(|i| circ.alloc_qreg(&format!("a{i}"))).collect(); + let b: Vec = (0..n).map(|i| circ.alloc_qreg(&format!("b{i}"))).collect(); + let tof_before = circ.ccx_emitted; + crate::point_add::trailmix_port::arith::cuccaro::controlled_add_cuccaro_3n(&mut circ, &ctrl, &a, &b); + let tof = (circ.ccx_emitted - tof_before) as usize; + let expected = 3 * n - 2; + assert_eq!( + tof, expected, + "controlled_add_cuccaro_3n n={n}: expected {expected} CCX, got {tof}" + ); + } + + #[test] + fn add_cuccaro_ovf_n16_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + run_add_cuccaro_overflow_case(16, r & 0xFFFF, (r >> 16) & 0xFFFF); + } + } + + // [DELETED 2026-05-30] Tests for `controlled_add_cuccaro_mbu` and + // `controlled_add_cuccaro_mbu_refs` (8n CCX streaming-MBU variant) + // have been removed alongside the primitives themselves. The + // `ctrl_add_cuccaro_3n_*` family below covers all behaviours, + // including the reversed-physical refs-view case (which the 3n + // primitive also supports via `controlled_add_cuccaro_3n_refs`). + + fn run_compare_geq_t3_case(n: usize, x_init: u64, c_val: u64) { + let mut circ = Circuit::new(); + let x: Vec = (0..n) + .map(|i| circ.alloc_qreg(&format!("x{}", i))) + .collect(); + let out = circ.alloc_qreg("out"); + { + let mut bytes = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if (x_init >> i) & 1 == 1 { + bytes[i / 8] |= 1u8 << (i % 8); + } + } + circ.sim_load_reg_bytes_shot(&x, &bytes, 0); + } + let n_bytes = n.div_ceil(8).max(1); + let mut c_bytes = vec![0u8; n_bytes]; + for i in 0..64 { + if (c_val >> i) & 1 == 1 && i / 8 < n_bytes { + c_bytes[i / 8] |= 1 << (i % 8); + } + } + + compare_geq_theorem3(&mut circ, &x, &c_bytes, &out); + + let mut outputs: Vec = Vec::new(); + outputs.extend(x); + outputs.push(out); + let (sim, detached) = circ.destroy_sim(outputs); + let x_d = &detached[..n]; + let out_d = &detached[n]; + let got = sim.qubit_mask(out_d) & 1; + let mask = if n == 64 { u64::MAX } else { (1u64 << n) - 1 }; + let x_masked = x_init & mask; + let c_masked = c_val & mask; + let expected = if x_masked >= c_masked { 1 } else { 0 }; + assert_eq!( + got, + expected, + "compare_t3 n={} x={:0w$b} c={:0w$b}: got={} exp={}", + n, + x_masked, + c_masked, + got, + expected, + w = n + ); + // x must be preserved. + for i in 0..n { + let got_xi = (sim.qubit_mask(&x_d[i]) & 1) == 1; + let exp_xi = (x_init >> i) & 1 == 1; + assert_eq!( + got_xi, exp_xi, + "compare_t3 x drift n={} bit {}: got={} exp={}", + n, i, got_xi, exp_xi + ); + } + assert_eq!( + sim.phase_mask(), + 0, + "compare_t3 phase n={} x={} c={}", + n, + x_init, + c_val + ); + } + + #[test] + fn compare_t3_n1_all() { + for x in 0..2 { + for c in 0..2 { + run_compare_geq_t3_case(1, x, c); + } + } + } + #[test] + fn compare_t3_n2_all() { + for x in 0..4 { + for c in 0..4 { + run_compare_geq_t3_case(2, x, c); + } + } + } + #[test] + fn compare_t3_n3_all() { + for x in 0..8 { + for c in 0..8 { + run_compare_geq_t3_case(3, x, c); + } + } + } + #[test] + fn compare_t3_n4_all() { + for x in 0..16 { + for c in 0..16 { + run_compare_geq_t3_case(4, x, c); + } + } + } + #[test] + fn compare_t3_n8_all() { + for x in 0..256 { + for c in 0..256 { + run_compare_geq_t3_case(8, x, c); + } + } + } + + #[test] + fn compare_t3_n16_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..1024u64 { + let r = mix(seed); + let x = r & 0xFFFF; + let c = (r >> 16) & 0xFFFF; + run_compare_geq_t3_case(16, x, c); + } + } + + #[test] + fn compare_t3_n16_boundary() { + // Hardest: adversarial 0xAA pattern (alternation). + for x in 0..16u64 { + run_compare_geq_t3_case(16, x * 0x1111, 0xAAAA); + run_compare_geq_t3_case(16, x * 0x1111, 0x5555); + } + // All bits + run_compare_geq_t3_case(16, 0, 0); + run_compare_geq_t3_case(16, 0xFFFF, 0xFFFF); + run_compare_geq_t3_case(16, 0xFFFF, 0); + run_compare_geq_t3_case(16, 0, 0xFFFF); + } + + #[test] + fn compare_t3_n32_sample() { + let mix = |s: u64| { + s.wrapping_mul(6364136223846793005) + .wrapping_add(1442695040888963407) + }; + for seed in 0..256u64 { + let r = mix(seed); + let x = r & 0xFFFFFFFF; + let c = (r >> 32) & 0xFFFFFFFF; + run_compare_geq_t3_case(32, x, c); + } + } +} diff --git a/src/point_add/trailmix_port/arith/mcx.rs b/src/point_add/trailmix_port/arith/mcx.rs new file mode 100644 index 00000000..1e8a99ea --- /dev/null +++ b/src/point_add/trailmix_port/arith/mcx.rs @@ -0,0 +1,522 @@ +//! Multi-controlled-X (MCX) gadgets: clean-ancilla and dirty-ancilla +//! Toffoli-ladder constructions. Extracted from the former +//! `mbu_primitives` grab-bag (these are reversible MCX primitives, not +//! MBU-specific). + +use crate::point_add::trailmix_port::arith::khattar_gidney::{ + xor_and_of_khattar_gidney_refs, xor_and_of_khattar_gidney_refs_consume, +}; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +/// Toggle `target` by the product of `ctrls` using restored dirty lenders. +/// +/// The first cascade includes the seed link `d0 ^= c0*c1`; the second omits +/// it. Dirty-seeded terms occur in both cascades and cancel, while the full +/// control product occurs once. For `k >= 3` this costs `4k-8` CCX gates and +/// restores every lender exactly. +pub fn mcx_dirty_ladder( + circ: &mut Circuit, + ctrls: &[&QReg], + target: &QReg, + dirty: &[&QReg], +) { + let k = ctrls.len(); + match k { + 0 => { + circ.x(target); + return; + } + 1 => { + circ.cx(ctrls[0], target); + return; + } + 2 => { + circ.ccx(ctrls[0], ctrls[1], target); + return; + } + _ => {} + } + + assert!(dirty.len() >= k - 2, "mcx_dirty_ladder lender shortage"); + let dirty = &dirty[..k - 2]; + for (index, &q) in dirty.iter().enumerate() { + assert!(!std::ptr::eq(q, target), "dirty lender aliases target"); + assert!( + !ctrls.iter().any(|&control| std::ptr::eq(q, control)), + "dirty lender aliases control" + ); + assert!( + !dirty[..index].iter().any(|&other| std::ptr::eq(q, other)), + "duplicate dirty lender" + ); + } + + let cascade = |circ: &mut Circuit, include_seed: bool| { + if include_seed { + circ.ccx(ctrls[0], ctrls[1], dirty[0]); + } + for i in 1..dirty.len() { + circ.ccx(dirty[i - 1], ctrls[i + 1], dirty[i]); + } + circ.ccx(dirty[dirty.len() - 1], ctrls[k - 1], target); + for i in (1..dirty.len()).rev() { + circ.ccx(dirty[i - 1], ctrls[i + 1], dirty[i]); + } + if include_seed { + circ.ccx(ctrls[0], ctrls[1], dirty[0]); + } + }; + + cascade(circ, true); + cascade(circ, false); +} + +/// +/// C^k X (k-controlled NOT) with ONE dirty ancilla, using the +/// Barenco "surrounded" decomposition. +/// +/// For ctrls = [`c_0`, ..., c_{k-1}] and target `t`, with dirty ancilla +/// `psi` (arbitrary state, restored on exit): +/// t ^= `AND(c_0`, ..., c_{k-1}) +/// +/// Gate count: Θ(k) CCX. Ancillae: 1 dirty (restored). No clean ancs. +/// +/// Base cases: +/// k=0: X(t) +/// k=1: `CX(c_0`, t) +/// k=2: `CCX(c_0`, `c_1`, t) +/// k>=3: Barenco split: T = AND(ctrls). Split ctrls at half, compute +/// half-AND into psi, use as control, uncompute. 4 recursive +/// calls pattern. T(k) = 4*T(k/2) would be O(k²); but using +/// the Barenco trick (two different splits interleaved) gives +/// O(k). +/// +/// We implement the iterative O(k) form: at each level, use one +/// recursive invocation plus its mirror. The "surrounded" identity: +/// CCX(c0, c1, psi); CCX(psi, c2, t); CCX(c0, c1, psi); +/// CCX(psi, c2, t) +/// This computes t ^= AND(c0, c1, c2) and restores psi. 4 CCX. +/// +/// For k controls: chain the pattern. Θ(k) CCX total. +pub fn mcx_dirty(circ: &mut Circuit, ctrls: &[&QReg], target: &QReg, psi: &QReg) { + let k = ctrls.len(); + + // PRE: capture (AND(ctrls), target, psi). + { + let ctrls_for_capture: Vec<&QReg> = ctrls.to_vec(); + let target_ref = target; + let psi_ref = psi; + circ.contract_capture( + "mbu.mcx_dirty.pre", + move |view, shot| -> Result<(bool, bool, bool), String> { + let mut and_v = true; + for q in &ctrls_for_capture { + and_v &= view.contract_read_bit_shot(q, shot); + } + let t = view.contract_read_bit_shot(target_ref, shot); + let p = view.contract_read_bit_shot(psi_ref, shot); + Ok((and_v, t, p)) + }, + ); + } + + match k { + 0 => circ.x(target), + 1 => circ.cx(ctrls[0], target), + 2 => circ.ccx(ctrls[0], ctrls[1], target), + 3 => { + // Surrounded 4-CCX form: target ^= AND(c0, c1, c2), psi restored. + // CCX(c0, c1, psi) psi ^= c0·c1 + // CCX(psi, c2, target) target ^= psi·c2 + // CCX(c0, c1, psi) psi restored + // CCX(psi, c2, target) target ^= psi_0·c2 (cancels extra) + circ.ccx(ctrls[0], ctrls[1], psi); + circ.ccx(psi, ctrls[2], target); + circ.ccx(ctrls[0], ctrls[1], psi); + circ.ccx(psi, ctrls[2], target); + } + 4 => { + mcx_dirty_k4(circ, ctrls, target, psi); + } + 5 => { + // k=5 via doubled C^4 X: CCX(c0,c1,psi); C^4X(psi,c2,c3,c4→t + // with c0 dirty); CCX(c0,c1,psi); C^4X again. Verified + // exhaustively via Python. 2 + 2·10 = 22 CCX. + let (c0, c1, c2, c3, c4) = (ctrls[0], ctrls[1], ctrls[2], ctrls[3], ctrls[4]); + circ.ccx(c0, c1, psi); + mcx_dirty_k4(circ, &[psi, c2, c3, c4], target, c0); + circ.ccx(c0, c1, psi); + mcx_dirty_k4(circ, &[psi, c2, c3, c4], target, c0); + } + _ => { + // The Barenco-style constants above are derived only for + // k <= 5. Callers needing k >= 6 must route through + // `mcx_dirty_any_k` (Theorem 3 recursion via `mcx_clean_k`); + // a direct call here violates that contract. + panic!("mcx_dirty supports k <= 5 controls (got k = {k}); use mcx_dirty_any_k for k >= 6"); + } + } + + // POST: target ^= AND(ctrls); psi restored; ctrls unchanged. + { + let ctrls_for_check: Vec<&QReg> = ctrls.to_vec(); + let target_ref = target; + let psi_ref = psi; + circ.contract_pop_and_check::<(bool, bool, bool), _>( + "mbu.mcx_dirty.pre", + move |cap, view, shot| -> Result<(), String> { + let (and_pre, t_pre, p_pre) = *cap; + let mut and_post = true; + for q in &ctrls_for_check { + and_post &= view.contract_read_bit_shot(q, shot); + } + if and_post != and_pre { + return Err(format!( + "mcx_dirty: ctrls AND changed {} -> {}", + u8::from(and_pre), + u8::from(and_post) + )); + } + let t_post = view.contract_read_bit_shot(target_ref, shot); + let p_post = view.contract_read_bit_shot(psi_ref, shot); + let expected = t_pre ^ and_pre; + if t_post != expected { + return Err(format!( + "mcx_dirty: target {}->{} expected {} (and={})", + u8::from(t_pre), + u8::from(t_post), + u8::from(expected), + u8::from(and_pre) + )); + } + if p_post != p_pre { + return Err(format!( + "mcx_dirty: psi (dirty ancilla) changed {} -> {} (must be restored)", + u8::from(p_pre), + u8::from(p_post) + )); + } + Ok(()) + }, + ); + } +} + +/// `target ^= AND(ctrls)` via the Khattar–Gidney Sec 5.3 (Fig 4) +/// prefix-AND construction. +/// +/// Cost: 2k-3 Toffoli, log*_2(k) clean ancillae, O(log k) depth for +/// k >= 4. At k=256: ~509 Toffolis with ~5 clean ancillae. (The +/// previous Karatsuba-halving recursion was Θ(k^log2 3) ≈ 4700 +/// Toffolis at k=256 — ~9.2x over this construction.) +/// +/// The k>=4 path delegates to [`xor_and_of_khattar_gidney_refs`], +/// which is structurally the same Fig 4 / Sec 6.1 prefix-AND ladder. +/// +/// Base cases (degenerate for KG): +/// k=0: X(target) +/// k=1: CX +/// k=2: CCX +/// k=3: alloc t; CCX(c0,c1,t); CCX(t,c2,target); `clear_and(t,c0,c1)`. +/// `clear_and` picks the MBU (`HMR+cz_if_bit`) discharge when +/// possible, saving one Toffoli vs the naive 3-CCX form. +pub fn mcx_clean_k(circ: &mut Circuit, ctrls: &[&QReg], target: &QReg) { + let k = ctrls.len(); + + // PRE: capture target_pre and AND(ctrls)_pre per shot. + { + let ctrls_for_capture: Vec<&QReg> = ctrls.to_vec(); + let target_ref = target; + circ.contract_capture( + "mbu.mcx_clean_k.pre", + move |view, shot| -> Result<(bool, bool), String> { + let mut and_v = true; + for q in &ctrls_for_capture { + and_v &= view.contract_read_bit_shot(q, shot); + } + let t = view.contract_read_bit_shot(target_ref, shot); + Ok((and_v, t)) + }, + ); + } + + match k { + 0 => circ.x(target), + 1 => circ.cx(ctrls[0], target), + 2 => circ.ccx(ctrls[0], ctrls[1], target), + 3 => { + // MBU: replace the trailing `ccx(ctrls[0], ctrls[1], t)` + // uncompute with HMR + cz_if_bit. t holds ctrls[0] AND + // ctrls[1] after the forward CCX (the middle CCX writes + // to target, not t), and ctrls[0]/ctrls[1] are not + // re-versioned between, so declare_and_of structurally + // matches cz_if_bit's discharge. Saves 1 CCX per call. + let t = circ.alloc_qreg_bits("mcxk_t3", 1); + circ.ccx(ctrls[0], ctrls[1], &t[0]); + circ.ccx(&t[0], ctrls[2], target); + // Clear t back to |0>. clear_and picks MBU (HMR+cz_if_bit, + // no Toffoli) outside a condition, or reversible ccx + // (push_condition-safe, +1 Toffoli) inside one. + circ.clear_and(&t[0], ctrls[0], ctrls[1]); + drop(t); + } + 4 => { + // Balanced-tree flat sequence: 2 ancillae, 3 Toffoli + // outside a condition (5 inside). Cheaper than the KG + // dispatch which allocates kg_prefix_ancilla_count(4) + // ancillae and builds a multi-layer tree. + // + // t01 = c0 AND c1 (1 ccx) + // t23 = c2 AND c3 (1 ccx) + // target ^= t01 AND t23 (1 ccx) + // clear_and(t23,c2,c3) (MBU: 0 ccx outside cond) + // clear_and(t01,c0,c1) (MBU: 0 ccx outside cond) + // + // c0..c3 are not re-versioned between compute and clear, + // so the MBU declare_and_of identity holds. + let t01 = circ.alloc_qreg_bits("mcxk_t01_4", 1); + let t23 = circ.alloc_qreg_bits("mcxk_t23_4", 1); + circ.ccx(ctrls[0], ctrls[1], &t01[0]); + circ.ccx(ctrls[2], ctrls[3], &t23[0]); + circ.ccx(&t01[0], &t23[0], target); + circ.clear_and(&t23[0], ctrls[2], ctrls[3]); + circ.clear_and(&t01[0], ctrls[0], ctrls[1]); + drop(t23); + drop(t01); + } + 5 => { + // Balanced-tree flat sequence: 3 ancillae, 4 Toffoli + // outside a condition. The 4-leaf AND is built as in + // k=4; then a second-level ccx folds c4 onto target. + // + // t01 = c0 AND c1 (1 ccx) + // t23 = c2 AND c3 (1 ccx) + // t0123 = t01 AND t23 (1 ccx) + // target ^= t0123 AND c4 (1 ccx) + // clear_and(t0123,t01,t23) (MBU: 0 ccx outside cond) + // clear_and(t23,c2,c3) (MBU) + // clear_and(t01,c0,c1) (MBU) + // + // None of t01/t23/c0..c4 are re-versioned between their + // compute and clear sites, so each declare_and_of holds. + let t01 = circ.alloc_qreg_bits("mcxk_t01_5", 1); + let t23 = circ.alloc_qreg_bits("mcxk_t23_5", 1); + let t0123 = circ.alloc_qreg_bits("mcxk_t0123_5", 1); + circ.ccx(ctrls[0], ctrls[1], &t01[0]); + circ.ccx(ctrls[2], ctrls[3], &t23[0]); + circ.ccx(&t01[0], &t23[0], &t0123[0]); + circ.ccx(&t0123[0], ctrls[4], target); + circ.clear_and(&t0123[0], &t01[0], &t23[0]); + circ.clear_and(&t23[0], ctrls[2], ctrls[3]); + circ.clear_and(&t01[0], ctrls[0], ctrls[1]); + drop(t0123); + drop(t23); + drop(t01); + } + _ => { + // Khattar–Gidney Sec 5.3 prefix-AND. 2k-3 Toffoli with + // log*_2(k) clean ancillae. + xor_and_of_khattar_gidney_refs(circ, ctrls, target); + } + } + + // POST: target ^= AND(ctrls); ctrls unchanged. + { + let ctrls_for_check: Vec<&QReg> = ctrls.to_vec(); + let target_ref = target; + circ.contract_pop_and_check::<(bool, bool), _>( + "mbu.mcx_clean_k.pre", + move |cap, view, shot| -> Result<(), String> { + let (and_pre, t_pre) = *cap; + let mut and_post = true; + for q in &ctrls_for_check { + and_post &= view.contract_read_bit_shot(q, shot); + } + if and_post != and_pre { + return Err(format!( + "mcx_clean_k: ctrls AND changed {} -> {}", + u8::from(and_pre), + u8::from(and_post) + )); + } + let t_post = view.contract_read_bit_shot(target_ref, shot); + let expected = t_pre ^ and_pre; + if t_post != expected { + return Err(format!( + "mcx_clean_k: target {}->{}, expected {} (t_pre={}, AND(ctrls)={})", + u8::from(t_pre), + u8::from(t_post), + u8::from(expected), + u8::from(t_pre), + u8::from(and_pre), + )); + } + Ok(()) + }, + ); + } +} + +/// Variant of [`mcx_clean_k`] that ALSO frees `target` after the XOR. +/// Used when the caller alloc'd `target` and just needs the AND +/// folded back to |0> for cleanup. Frees `target` at the last gate +/// that touches it, so the strict-dealloc gap is 0 even when the +/// recursion's inner-scratch cleanup leaves trailing ops that don't +/// touch `target`. +pub(crate) fn mcx_clean_k_uncompute_consume(circ: &mut Circuit, ctrls: &[&QReg], target: QReg) { + let k = ctrls.len(); + match k { + 0 => { + circ.x(&target); /* target drops on return */ + } + 1 => { + circ.cx(ctrls[0], &target); + } + 2 => { + circ.ccx(ctrls[0], ctrls[1], &target); + } + 3 => { + // MBU: same swap as mcx_clean_k k=3 (replace trailing + // CCX with HMR + cz_if_bit). Saves 1 CCX per call. + let t = circ.alloc_qreg_bits("mcxk_t3", 1); + circ.ccx(ctrls[0], ctrls[1], &t[0]); + circ.ccx(&t[0], ctrls[2], &target); + // Last gate-touch on target is the ccx above; drop now. + drop(target); + // Clear t (MBU outside a condition, reversible ccx inside). + circ.clear_and(&t[0], ctrls[0], ctrls[1]); + drop(t); + } + _ => { + // Khattar–Gidney Sec 5.3 prefix-AND with target freed at + // its last gate-touch. + xor_and_of_khattar_gidney_refs_consume(circ, ctrls, target); + } + } +} + +/// k=4 case of `mcx_dirty`. Sequence (verified via Python trace): +/// CCX(c0,c1,psi) psi ^= c0·c1 +/// [C^3X via 4-CCX surrounded on (psi,c2,c3)→target, borrowing c0]: +/// CCX(psi,c2,c0); CCX(c0,c3,target); CCX(psi,c2,c0); CCX(c0,c3,target) +/// → target ^= psi·c2·c3 = (`psi_0` ⊕ c0·c1)·c2·c3 +/// CCX(c0,c1,psi) psi restored +/// [C^3X again, now with `psi=psi_0` → target ^= `psi_0·c2·c3`] +/// CCX(psi,c2,c0); CCX(c0,c3,target); CCX(psi,c2,c0); CCX(c0,c3,target) +/// Net: target ^= c0·c1·c2·c3, psi and c0 restored. 10 CCX. +fn mcx_dirty_k4(circ: &mut Circuit, c: &[&QReg], t: &QReg, psi: &QReg) { + debug_assert_eq!(c.len(), 4); + let (c0, c1, c2, c3) = (c[0], c[1], c[2], c[3]); + circ.ccx(c0, c1, psi); + // Inner C^3X #1 using c0 as temp dirty. + circ.ccx(psi, c2, c0); + circ.ccx(c0, c3, t); + circ.ccx(psi, c2, c0); + circ.ccx(c0, c3, t); + circ.ccx(c0, c1, psi); + // Inner C^3X #2 to cancel extra psi_0·c2·c3 term. + circ.ccx(psi, c2, c0); + circ.ccx(c0, c3, t); + circ.ccx(psi, c2, c0); + circ.ccx(c0, c3, t); +} + +/// C^kX with 1 dirty ancilla for any k. Recurses via Theorem 3 when k >= 6. +/// +/// Base case: k <= 5 uses existing `mcx_dirty` (Barenco-style constants). +/// Recursive case: k >= 6 falls back to `mcx_clean_k` (O(log k) clean +/// ancillae). The dirty qubit is ignored for k >= 6; callers that need +/// strict dirty-only semantics should use k <= 5. +pub fn mcx_dirty_any_k(circ: &mut Circuit, ctrls: &[&QReg], target: &QReg, dirty: &QReg) { + // PRE: capture (AND(ctrls), target, dirty). + { + let ctrls_for_capture: Vec<&QReg> = ctrls.to_vec(); + let target_ref = target; + let dirty_ref = dirty; + circ.contract_capture( + "mbu.mcx_dirty_any_k.pre", + move |view, shot| -> Result<(bool, bool, bool), String> { + let mut and_v = true; + for q in &ctrls_for_capture { + and_v &= view.contract_read_bit_shot(q, shot); + } + let t = view.contract_read_bit_shot(target_ref, shot); + let d = view.contract_read_bit_shot(dirty_ref, shot); + Ok((and_v, t, d)) + }, + ); + } + + let k = ctrls.len(); + if k <= 5 { + mcx_dirty(circ, ctrls, target, dirty); + } else { + let _ = dirty; + mcx_clean_k(circ, ctrls, target); + } + + // POST: target ^= AND(ctrls); dirty restored (k<=5) or unchanged + // (k>=6, mcx_clean_k path ignores `dirty`). + { + let ctrls_for_check: Vec<&QReg> = ctrls.to_vec(); + let target_ref = target; + let dirty_ref = dirty; + circ.contract_pop_and_check::<(bool, bool, bool), _>( + "mbu.mcx_dirty_any_k.pre", + move |cap, view, shot| -> Result<(), String> { + let (and_pre, t_pre, d_pre) = *cap; + let mut and_post = true; + for q in &ctrls_for_check { + and_post &= view.contract_read_bit_shot(q, shot); + } + if and_post != and_pre { + return Err(format!( + "mcx_dirty_any_k: ctrls AND changed {} -> {}", + u8::from(and_pre), + u8::from(and_post) + )); + } + let t_post = view.contract_read_bit_shot(target_ref, shot); + let expected = t_pre ^ and_pre; + if t_post != expected { + return Err(format!( + "mcx_dirty_any_k: target {}->{} expected {} (and={})", + u8::from(t_pre), + u8::from(t_post), + u8::from(expected), + u8::from(and_pre) + )); + } + let d_post = view.contract_read_bit_shot(dirty_ref, shot); + if d_post != d_pre { + return Err(format!( + "mcx_dirty_any_k: dirty ancilla changed {} -> {}", + u8::from(d_pre), + u8::from(d_post) + )); + } + Ok(()) + }, + ); + } +} + +/// Variant of [`mcx_dirty_any_k`] that frees `target` right after the +/// last gate-touch. For k <= 5, `target` is freed after the last +/// `mcx_dirty` gate. For k >= 6, uses `mcx_clean_k_uncompute_consume` +/// which frees target at its last gate-touch inside the recursion. +pub(crate) fn mcx_dirty_any_k_consume( + circ: &mut Circuit, + ctrls: &[&QReg], + target: QReg, + dirty: &QReg, +) { + let k = ctrls.len(); + if k <= 5 { + mcx_dirty(circ, ctrls, &target, dirty); + // target drops at function end (last gate-touch was mcx_dirty). + return; + } + let _ = dirty; + mcx_clean_k_uncompute_consume(circ, ctrls, target); +} diff --git a/src/point_add/trailmix_port/arith/qshift_sub.rs b/src/point_add/trailmix_port/arith/qshift_sub.rs new file mode 100644 index 00000000..fd224673 --- /dev/null +++ b/src/point_add/trailmix_port/arith/qshift_sub.rs @@ -0,0 +1,47 @@ +//! In-place log-depth barrel shifter: shift a quantum register `b` by a +//! quantum amount `s`, one cswap layer per bit of `s` (layer i shifts by 2^i +//! when `s[i] = 1`). Used by the shrunken-PZ divstep to align the cofactor +//! registers. +//! +//! Precondition: the top `s_max` bits of `b` must be |0> on entry (where +//! `s_max = 2^len(s) - 1`); otherwise high bits shift off the top of the +//! in-place register and `b` is not restored by the reverse shifter. + +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +/// In-place barrel shift `b <<= s` (toward higher indices) when `forward`, or +/// the exact inverse when `!forward` (for uncomputation). Each layer is a +/// Fredkin (CX-CCX-CX) cswap per affected position; no ancillae. +pub fn barrel_shift_inplace(circ: &mut Circuit, b: &[QReg], s: &[QReg], forward: bool) { + let n = b.len(); + if n == 0 || s.is_empty() { + return; + } + let prev = circ.push_section("p.shift"); + let layer_order: Vec = if forward { + (0..s.len()).collect() + } else { + (0..s.len()).rev().collect() + }; + for &i in &layer_order { + let k = 1usize << i; + if k >= n { + // Whole register would shift off-end; nothing to do + // (precondition guarantees those bits are 0). + continue; + } + // cswap pairs (j, j-k) for j = n-1 down to k. + // Forward: top-to-bottom; reverse: bottom-to-top. + let mut pairs: Vec<(usize, usize)> = ((k..n).rev()).map(|j| (j, j - k)).collect(); + if !forward { + pairs.reverse(); + } + for (hi, lo) in pairs { + // cswap(s[i], b[hi], b[lo]) via Fredkin = CX-CCX-CX. + circ.cx(&b[lo], &b[hi]); + circ.ccx(&s[i], &b[hi], &b[lo]); + circ.cx(&b[lo], &b[hi]); + } + } + circ.pop_section(&prev); +} diff --git a/src/point_add/trailmix_port/arith/ripple_add.rs b/src/point_add/trailmix_port/arith/ripple_add.rs new file mode 100644 index 00000000..2febca8d --- /dev/null +++ b/src/point_add/trailmix_port/arith/ripple_add.rs @@ -0,0 +1,596 @@ +//! Physical arithmetic primitives for the secp256k1 circuit. +//! +//! Uses MBUC (HMR + CZ phase correction) for carry cleanup. +//! All circuits are physical-only: no selfwire, no overlap CCX. +//! +//! A handful of helper fns (`controlled_mod_halve_secp256k1`, +//! `alloc_work_reg`, `varwidth_add`, etc.) are kept around as +//! reference-implementations for future work. + +use crate::point_add::trailmix_port::arith::const_add::get_const_bit; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +#[cfg(test)] +use crate::point_add::trailmix_port::arith::compare::*; + +// === Addition / Subtraction === + +/// Addition: a += b via canonical Cuccaro MAJ/UMA (arXiv: +/// quant-ph/0410184). 1 clean ancilla, 2n Toffoli, 4n CX. Polylog +/// peak (vs `add_physical`'s n-1 AND ancs). +pub fn add(circ: &mut Circuit, a: &[QReg], b: &[QReg]) { + crate::point_add::trailmix_port::arith::cuccaro::add_cuccaro(circ, a, b); +} + +/// Subtraction: a -= b via bit-complement wrap around `add_physical`. +pub fn sub(circ: &mut Circuit, a: &[QReg], b: &[QReg]) { + for q in a { + circ.x(q); + } + add(circ, a, b); + for q in a { + circ.x(q); + } +} + +// === Comparison === + +// ===================================================================== +// Inline-phase comparators (notes/MBUC_GADGETS.md §7). +// +// These do `forward MAJ + push_condition(bit); ; +// pop_condition() + backward UMA` in a single call. They fold the +// `temp + compare-twice` pattern in the mod_*_mbu phase corrections +// into a single pass -- about half the comparison cost per call. +// +// Each helper internally allocates one carry qubit and any +// register-extension qubits, and frees them via R (zeroed by +// the backward UMA). +// ===================================================================== + +// === Modular arithmetic === + +/// Controlled sub-constant: if ctrl=1, a -= val. XORs `a` into +/// two's-complement form, adds, XORs back -- but XORs are gated +/// by ctrl via CX(ctrl, a[i]) would permanently flip; instead, +/// wrap via `a := ~a; a += ctrl*val; a := ~a` only if ctrl, +/// which is wasteful. Simpler approach: just delegate by `XORing` +/// val (classical NOT) and adding ctrl and `ctrl` itself +/// (two's complement +1). Since val is constant, ~val is also +/// constant, so we can call `controlled_add_const` with ~val and +/// additionally add ctrl at position 0. +/// `a += c (mod 2^a.len())` where `c` is a classical-bit register. +/// +/// Mirrors `controlled_add_const` but the per-bit decision is a runtime +/// classical Cbit instead of a compile-time constant: for each i in +/// `0..c.len()` we load `c[i]` into a fresh `QReg` `ctrl`, run an +/// unconditional Häner-style halving `cinc_gidney_halving(a[i..], ctrl)`, +/// and uncompute `ctrl` back to |0> with a second `x_if_bit`. Cost is +/// ~n inc calls (`O(n^2)` CCX + CX). +/// +/// Per-iteration overhead vs. the old `with_condition` form: 2 single-qubit +/// `x_if_bit` gates (load + uncompute) and 1 ancilla alloc/free, in exchange +/// for being able to call primitives that internally use `R` / `zero_and_free` +/// (e.g. Khattar-Gidney mcx ancilla cleanup) — those are forbidden inside +/// `push_condition` blocks. +pub fn add_creg(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + let n = a.len(); + if n == 0 || c.is_empty() { + return; + } + { + let a_for_capture: Vec<&QReg> = a.iter().collect(); + let c_ids: Vec = c.iter().map(|b| b.raw()).collect(); + let n_cap = n; + circ.contract_capture( + "poc_arith.add_creg", + move |view, shot| -> Result<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint), String> { + let mut a_pre = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in a_for_capture.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + a_pre |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let mut c_val = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, id) in c_ids.iter().enumerate() { + if (view.bit_mask(*id) >> shot) & 1 == 1 { + c_val |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let modulus = crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << n_cap; + Ok((a_pre, c_val % modulus)) + }, + ); + } + let lim = c.len().min(n); + for i in 0..lim { + let bit = c[i]; + let sub = &a[i..]; + // Load classical bit into a fresh quantum ctrl, run the + // unconditional halving cinc, then uncompute ctrl back to |0>. + let ctrl = circ.alloc_qreg("creg.add.ctrl"); + circ.x_if_bit(&ctrl, bit); + crate::point_add::trailmix_port::arith::khattar_gidney::cinc_gidney_halving(circ, sub, &ctrl); + circ.x_if_bit(&ctrl, bit); + circ.zero_and_free(ctrl); + } + { + let a_for_check: Vec<&QReg> = a.iter().collect(); + let n_cap = n; + circ.contract_pop_and_check::<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint), _>( + "poc_arith.add_creg", + move |captured, view, shot| -> Result<(), String> { + let (a_pre, c_val) = captured; + let mut a_post = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in a_for_check.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + a_post |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let modulus = crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << n_cap; + let expected = (a_pre + c_val) % &modulus; + if a_post != expected { + return Err(format!( + "shot {shot}: a_post = {a_post:#x}, expected a_pre + c mod 2^{n_cap} = {expected:#x}" + )); + } + Ok(()) + }, + ); + } +} + +/// `a -= c (mod 2^a.len())` where `c` is a classical-bit register. +/// +/// Identity: `a - c = ~(~a + c)` (two's complement). Implemented as +/// `X-flip a; add_creg(a, c); X-flip a`. The bracketing X's are cheap +/// (2n gates) compared to the inner `add_creg`, and avoid duplicating +/// the per-bit-decrement logic. +pub fn sub_creg(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + if a.is_empty() { + return; + } + let n = a.len(); + { + let a_for_capture: Vec<&QReg> = a.iter().collect(); + let c_ids: Vec = c.iter().map(|b| b.raw()).collect(); + let n_cap = n; + circ.contract_capture( + "poc_arith.sub_creg", + move |view, shot| -> Result<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint), String> { + let mut a_pre = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in a_for_capture.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + a_pre |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let mut c_val = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, id) in c_ids.iter().enumerate() { + if (view.bit_mask(*id) >> shot) & 1 == 1 { + c_val |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let modulus = crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << n_cap; + Ok((a_pre, c_val % modulus)) + }, + ); + } + for q in a { + circ.x(q); + } + add_creg(circ, a, c); + for q in a { + circ.x(q); + } + { + let a_for_check: Vec<&QReg> = a.iter().collect(); + let n_cap = n; + circ.contract_pop_and_check::<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint), _>( + "poc_arith.sub_creg", + move |captured, view, shot| -> Result<(), String> { + let (a_pre, c_val) = captured; + let mut a_post = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in a_for_check.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + a_post |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let modulus = crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << n_cap; + let expected = if a_pre >= c_val { + a_pre - c_val + } else { + &modulus + a_pre - c_val + }; + if a_post != expected { + return Err(format!( + "shot {shot}: a_post = {a_post:#x}, expected a_pre - c mod 2^{n_cap} = {expected:#x}" + )); + } + Ok(()) + }, + ); + } +} + +/// Unconditional add-constant: a += val (mod 2^|a|). +/// +/// Same dispatch as `controlled_add_const` but omits the ctrl qubit +/// entirely from inner gate structures. Saves O(log n) Toffoli per +/// cinc and the per-AND ctrl input in the Vandaele CQ-add path. +pub fn add_const(circ: &mut Circuit, a: &[QReg], val: &[u8]) { + let n = a.len(); + if n == 0 { + return; + } + let mut lo_bit = usize::MAX; + let mut pop = 0usize; + for i in 0..n { + if get_const_bit(val, i) { + if lo_bit == usize::MAX { + lo_bit = i; + } + pop += 1; + } + } + if pop == 0 { + return; + } + if pop == 1 { + // Single bit: just one inc from that position. + crate::point_add::trailmix_port::arith::khattar_gidney::inc_khattar_gidney(circ, &a[lo_bit..]); + return; + } + // General case: unconditional Vandaele CQ-add. Allocate the carry + // ancilla locally; classical_quantum_add zeros it within each + // recursion level. + let g = circ.alloc_qreg("add_const_g"); + crate::point_add::trailmix_port::arith::khattar_gidney::classical_quantum_add(circ, a, val, &g); + circ.zero_and_free(g); +} + +/// Unconditional subtract-constant: a -= val (mod 2^|a|). +pub fn sub_const(circ: &mut Circuit, a: &[QReg], val: &[u8]) { + let n = a.len(); + if n == 0 { + return; + } + // Compute -val mod 2^n = ~val + 1 (n-bit two's complement) so we + // can subtract via a single add_const. + let mut neg_bits = vec![false; n]; + let mut carry = true; + for i in 0..n { + let inv = !get_const_bit(val, i); + neg_bits[i] = inv ^ carry; + carry = inv && carry; + } + let mut neg_val = vec![0u8; n.div_ceil(8)]; + for i in 0..n { + if neg_bits[i] { + neg_val[i / 8] |= 1u8 << (i % 8); + } + } + add_const(circ, a, &neg_val); +} + +/// Controlled add (quantum b): if ctrl=1, a += b. +/// Cuccaro (polylog peak) when ctrl does not alias a or b. Falls +/// back to `controlled_add_physical` when aliasing is detected +/// (Cuccaro's CCX(ctrl, b[i], b[i-1]) self-wires at i=|b|-1 when +/// ctrl=b[i]; the physical form has per-bit aliasing guards). +/// The aliasing case happens on squaring (result = x^2) where the +/// multiplicand and multiplier are the same register. +pub fn controlled_add(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let aliases_a = qreg_slice_contains(a, ctrl); + let aliases_b = qreg_slice_contains(b, ctrl); + // Pre/post contract: only on the non-aliasing path (the only one + // the EC inversion exercises; aliasing path is squaring-specific + // and out of scope for the cap_a / multi_add cascade debug.) + let do_contract = !aliases_a && !aliases_b; + if do_contract { + let a_for_capture: Vec<&QReg> = a.iter().collect(); + let b_for_capture: Vec<&QReg> = b.iter().collect(); + let ctrl_cap: &QReg = ctrl; + circ.contract_capture( + "poc_arith.controlled_add", + |view, shot| -> Result<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint, bool), String> { + let read = |regs: &[&QReg]| -> crate::point_add::trailmix_port::num_bigint::BigUint { + let mut v = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in regs.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + v |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + v + }; + let a_v = read(&a_for_capture); + let b_v = read(&b_for_capture); + let c_v = view.contract_read_bit_shot(ctrl_cap, shot); + Ok((a_v, b_v, c_v)) + }, + ); + } + if !aliases_a && !aliases_b { + // 3n CCX controlled Cuccaro. Forward MAJ on a single carry + // register (1 CCX per bit = n CCX); reverse pass per bit + // (CCX(a,b,c) + CCX(ctrl,b,a) = 2 CCX = 2n CCX). Total 3n CCX, + // vs controlled_add_cuccaro_mbu's 8n CCX. Same semantics: a += b + // when ctrl=1, unchanged when ctrl=0; b and ctrl preserved. + crate::point_add::trailmix_port::arith::cuccaro::controlled_add_cuccaro_3n(circ, ctrl, a, b); + } else { + // ctrl aliases a would be problematic: Cuccaro modifies a, so ctrl's + // value would drift mid-add. The controlled_mod_add_rfold_mbu + // contract only calls this with ctrl aliasing b (never a), so we + // reject the a-alias case here to catch misuse early. + assert!( + !aliases_a, + "controlled_add: ctrl aliases a register -- unsupported" + ); + + // ctrl aliases b -- copy to fresh scratch and use the 3n variant. + // The 3n form preserves b across the add, so ctrl (= b[i]) is + // restored at the end and the final cx(ctrl, scratch) zeros + // scratch cleanly. + // Peak: +2 ancillae (scratch + 3n's carry register). Polylog. + let scratch = circ.alloc_qreg("cadd_alias_scratch"); + circ.cx(ctrl, &scratch); + circ.declare_copy_of(&scratch, ctrl); + crate::point_add::trailmix_port::arith::cuccaro::controlled_add_cuccaro_3n(circ, &scratch, a, b); + circ.cx(ctrl, &scratch); + // scratch drops here; drain fires at next gate (gap=0). + } + if do_contract { + let a_for_check: Vec<&QReg> = a.iter().collect(); + let n_cap = a.len(); + circ.contract_pop_and_check::<(crate::point_add::trailmix_port::num_bigint::BigUint, crate::point_add::trailmix_port::num_bigint::BigUint, bool), _>( + "poc_arith.controlled_add", + move |captured, view, shot| -> Result<(), String> { + let (a_pre, b_pre, c_v) = captured; + let mut a_post = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in a_for_check.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + a_post |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let modulus = crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << n_cap; + let expected = if *c_v { + (a_pre + b_pre) % &modulus + } else { + a_pre.clone() + }; + if a_post != expected { + return Err(format!( + "shot {}: a_post = {:#x}, expected (ctrl={}: a_pre {} b_pre) mod 2^{} = {:#x}", + shot, a_post, c_v, if *c_v { "+" } else { "unchanged" }, n_cap, expected + )); + } + Ok(()) + }, + ); + } +} + +/// Pointer-equality test for `QReg` slice membership. Since `QReg` is non-Copy +/// and identity is by qubit-id (which is module-private), we compare by +/// reference identity: a slice contains `q` iff one of its elements is the +/// same `QReg` instance. (For the alias-detection use case, callers pass the +/// same `QReg` references, so reference identity matches qubit identity.) +fn qreg_slice_contains(slice: &[QReg], q: &QReg) -> bool { + slice.iter().any(|s| std::ptr::eq(s, q)) +} + +/// Top-K add-overflow phase-correction MBU. HMRs `q_to_hmr` with the +/// identity `q_to_hmr ≡ ctrl AND 1[a_top_k + b_top_k overflows]`. +/// +/// Builds the K-bit ripple-carry MAJ chain over the top K bits of +/// (a + b) (without materializing the sum) to read the carry-out, +/// then runs the matching Cuccaro UMA chain to restore a, b, c. +/// +/// Cost: ~2K Toffoli (MAJ chain + UMA chain) + 2 ancilla qubits. +/// +/// This is the structural counterpart of `controlled_lt_msbs` for the +/// FORWARD mod-sub Alg-11 cleanup: forward sub leaves y[n] = borrow, +/// and `borrow ≡ ctrl AND 1[y_top + x_top overflows top K]` modulo a +/// 2^-K approximation tail (matches forward mod-add's 2^-K tail). +pub fn controlled_add_overflow_msbs_phase_correction_mbu( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + b: &[QReg], + q_to_hmr: &QReg, + k: usize, +) { + let n = a.len(); + assert_eq!(n, b.len(), "topk add-overflow requires equal a/b lengths"); + if n == 0 || k == 0 { + let bit = circ.alloc_bit(); + circ.hmr(q_to_hmr, bit); + circ.free_bit(bit); + return; + } + let k = k.min(n); + let lo = n - k; + + let ctrl_copy = circ.alloc_qreg("addovf_ctrl_copy"); + circ.cx(ctrl, &ctrl_copy); + + let carry = circ.alloc_qreg("addovf_carry"); + + // carry init = 1, so the MAJ chain effectively computes a + b + 1 + // and returns carry-out = 1[a_top + b_top >= 2^K - 1]. This handles + // the boundary case where a_top + b_top = 2^K - 1 (which corresponds + // to a borrow case in the full mod-sub when low bits propagate a + // carry up). The forward mod-add's `controlled_lt_msbs` cleanup + // has the analogous +1 hidden inside the borrow-chain init. + circ.x(&carry); + + // Cuccaro MAJ chain over top K bits with carry-in = 1. + for i in lo..n { + circ.cx(&carry, &b[i]); + circ.cx(&carry, &a[i]); + circ.ccx(&a[i], &b[i], &carry); + } + + // Capture: q_to_hmr identity = ctrl AND carry. + circ.declare_and_of(q_to_hmr, &ctrl_copy, &carry); + let bit = circ.alloc_bit(); + circ.hmr(q_to_hmr, bit); + circ.cz_if_bit(&ctrl_copy, &carry, bit); + circ.free_bit(bit); + + // UMA chain (Cuccaro un-MAJ) to restore a, b, carry. NO inner + // controlled add — we only want the carry-out, not the sum. + for i in (lo..n).rev() { + circ.ccx(&a[i], &b[i], &carry); + circ.cx(&carry, &a[i]); + circ.cx(&carry, &b[i]); + } + // Restore carry to |0> by undoing the initial X. + circ.x(&carry); + drop(carry); + + circ.cx(ctrl, &ctrl_copy); + drop(ctrl_copy); +} + +/// UNCONTROLLED top-k add-overflow flag clear: clears `q_to_clean` +/// knowing it equals the top-`k` add-overflow of (a, b). +/// +/// The ctrl-free form of [`controlled_add_overflow_msbs_phase_correction_mbu`], +/// used by the unconditional pseudo-Mersenne mod-sub cleanup. After a +/// mod-sub, `q_to_clean` holds the borrow flag, and the identity +/// `borrow == 1[a_top + b_top + 1 overflows K bits]` (= the carry-out of +/// the carry-in-1 MAJ chain) lets us clear it with a single reversible +/// `cx(carry, q_to_clean)` — no Toffoli, no HMR — once the tracker is +/// told `q_to_clean` is a copy of `carry`. +pub fn add_overflow_msbs_phase_correction( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + q_to_clean: &QReg, + k: usize, +) { + let n = a.len(); + assert_eq!(n, b.len(), "topk add-overflow requires equal a/b lengths"); + assert!(n > 0 && k > 0, "uncontrolled add-overflow needs k >= 1"); + let k = k.min(n); + let lo = n - k; + + let carry = circ.alloc_qreg("addovf_carry"); + // carry-in = 1: the MAJ chain returns carry-out = 1[a_top + b_top >= 2^K - 1]. + circ.x(&carry); + for i in lo..n { + circ.cx(&carry, &b[i]); + circ.cx(&carry, &a[i]); + circ.ccx(&a[i], &b[i], &carry); + } + // q_to_clean == carry. Tell the tracker, then clear reversibly (carry + // is read-only here, so the MAJ window's restore stays valid). + circ.declare_copy_of(q_to_clean, &carry); + circ.cx(&carry, q_to_clean); + // UMA chain (un-MAJ) to restore a, b, carry. + for i in (lo..n).rev() { + circ.ccx(&a[i], &b[i], &carry); + circ.cx(&carry, &a[i]); + circ.cx(&carry, &b[i]); + } + circ.x(&carry); + drop(carry); +} + +/// Controlled sub (quantum b): if ctrl=1, a -= b. +/// X-sandwich around `controlled_add` (Cuccaro). `ctrl=0` case: the +/// NOT/NOT wraps cancel and `controlled_add` adds 0 -> a unchanged. +/// `ctrl=1` case: a <- ~(~a + b) = a - b (mod 2^n). Correct. +/// +/// Peak 1 anc (the 3n controlled-add's carry register). Gates: 3n +/// Toffoli + (CX from the inner add) + 2n X (the outer sandwich). +pub fn controlled_sub(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let n = a.len(); + if n == 0 { + return; + } + // Callers must provide b at least as wide as a (padding into a + // synthetic Vec would require either Clone or fresh-anc + // copies; the original Qubit-typed code padded with fresh zero + // qubits and freed them after — under the Qubit-private regime + // we require the caller to pass the padded slice in directly). + assert!( + b.len() >= n, + "controlled_sub: b ({} bits) shorter than a ({} bits); \ + caller must provide a same-width or wider b slice", + b.len(), + n + ); + let b_eq = &b[..n]; + for q in a { + circ.x(q); + } + controlled_add(circ, ctrl, a, b_eq); + for q in a { + circ.x(q); + } +} + +// === Variable-width helpers === + +#[cfg(test)] +mod tests { + use super::compare_geq_gidney_middle; + use crate::point_add::trailmix_port::circuit::QReg; + use crate::point_add::trailmix_port::circuit::Circuit; + + #[test] + fn compare_geq_gidney_middle_random() { + use rand::Rng; + let nbits = 16usize; + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("a", nbits); + let b = circ.alloc_qreg_bits("b", nbits); + let flag = circ.alloc_qreg("flag"); + let target = circ.alloc_qreg("target"); + + let mut rng = rand::thread_rng(); + let mut a_pre = [0u32; 64]; + let mut b_pre = [0u32; 64]; + for shot in 0..64 { + a_pre[shot] = rng.gen::() & 0xffff; + b_pre[shot] = rng.gen::() & 0xffff; + circ.sim_load_reg_bytes_shot(&a, &a_pre[shot].to_le_bytes()[..2], shot); + circ.sim_load_reg_bytes_shot(&b, &b_pre[shot].to_le_bytes()[..2], shot); + } + + compare_geq_gidney_middle(&mut circ, &a, &b, &flag, |c, fl| { + c.cx(fl, &target); // capture (a >= b) into target + }); + circ.assert_phase_clean(); + + let mut outputs: Vec = Vec::new(); + outputs.extend(a); + outputs.extend(b); + outputs.push(flag); + outputs.push(target); + let (sim, det) = circ.destroy_sim(outputs); + for shot in 0..64 { + let got_t = sim.read_bit_shot(&det[2 * nbits + 1], shot); + let exp = if a_pre[shot] >= b_pre[shot] { 1 } else { 0 }; + assert_eq!(got_t, exp, "shot {shot}: (a>=b) mismatch"); + assert_eq!( + sim.read_bit_shot(&det[2 * nbits], shot), + 0, + "shot {shot}: flag not 0" + ); + let mut got_a = 0u32; + let mut got_b = 0u32; + for i in 0..nbits { + if sim.read_bit_shot(&det[i], shot) == 1 { + got_a |= 1 << i; + } + if sim.read_bit_shot(&det[nbits + i], shot) == 1 { + got_b |= 1 << i; + } + } + assert_eq!(got_a, a_pre[shot], "shot {shot}: a not restored"); + assert_eq!(got_b, b_pre[shot], "shot {shot}: b not restored"); + } + } +} diff --git a/src/point_add/trailmix_port/arith/shift.rs b/src/point_add/trailmix_port/arith/shift.rs new file mode 100644 index 00000000..ecdb7f3f --- /dev/null +++ b/src/point_add/trailmix_port/arith/shift.rs @@ -0,0 +1,21 @@ +//! Bit-shift primitives: logical left/right shift by one position. +//! Extracted from the former `mbu_primitives` / `poc_arith` files. + +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +/// Left shift by 1: a <<= 1. Implemented as rotation (MSB wraps to +/// LSB), so the caller MUST ensure a[n-1] == |0> before calling. +/// The nw = nb+1 invariant guarantees this for all `mod_mul` operands. +pub fn left_shift(circ: &mut Circuit, a: &[QReg]) { + let n = a.len(); + for i in (1..n).rev() { + circ.swap(&a[i], &a[i - 1]); + } +} + +pub fn right_shift(circ: &mut Circuit, a: &[QReg]) { + let n = a.len(); + for i in 0..n - 1 { + circ.swap(&a[i], &a[i + 1]); + } +} diff --git a/src/point_add/trailmix_port/circuit.rs b/src/point_add/trailmix_port/circuit.rs new file mode 100644 index 00000000..e398e81e --- /dev/null +++ b/src/point_add/trailmix_port/circuit.rs @@ -0,0 +1,711 @@ +use std::cell::RefCell; +use std::fmt; +use std::ops::Deref; +use std::rc::Rc; + +use crate::circuit::{BitId, Op, OperationType, QubitId}; +use crate::point_add::B; + +#[derive(Clone, Copy, Debug, Eq, PartialEq, Hash, PartialOrd, Ord)] +pub struct Cbit(pub u32); + +impl Cbit { + #[inline] + pub fn raw(self) -> u32 { + self.0 + } +} + +#[derive(Debug)] +pub struct QReg { + id: u32, + pending: Rc>>, + detached: bool, +} + +impl QReg { + #[inline] + pub(crate) fn id(&self) -> u32 { + self.id + } + + /// Create a non-owning register view with the same physical qubit id. + /// Dropping the view must not return the underlying lane to the allocator. + pub(crate) fn borrowed_alias(&self) -> Self { + Self { + id: self.id, + pending: Rc::clone(&self.pending), + detached: true, + } + } +} + +impl Drop for QReg { + fn drop(&mut self) { + if !self.detached { + self.pending.borrow_mut().push(self.id); + } + } +} + +#[derive(Debug)] +pub enum BorrowedQReg<'a> { + Owned(QReg), + Borrowed(&'a QReg), +} + +impl Deref for BorrowedQReg<'_> { + type Target = QReg; + + fn deref(&self) -> &Self::Target { + match self { + BorrowedQReg::Owned(q) => q, + BorrowedQReg::Borrowed(q) => q, + } + } +} + +pub struct Ghost { + bit: Cbit, + consumed: bool, +} + +impl Drop for Ghost { + fn drop(&mut self) { + if !self.consumed && !std::thread::panicking() { + panic!("TrailMix ghost dropped without a matching close/resolve"); + } + } +} + +#[derive(Clone, Copy)] +pub struct ContractSimView<'a> { + _phantom: std::marker::PhantomData<&'a ()>, +} + +impl ContractSimView<'_> { + pub fn read_bit_shot(&self, _q: &QReg, _shot: usize) -> bool { + false + } + + pub fn qubit_mask(&self, _q: &QReg) -> u64 { + 0 + } + + pub fn bit_mask(&self, _id: u32) -> u64 { + 0 + } + + pub fn phase_mask(&self) -> u64 { + 0 + } + + pub fn read_bytes_shot(&self, reg: &[QReg], _shot: usize) -> Vec { + vec![0; reg.len().div_ceil(8)] + } + + pub fn contract_read_u256_shot( + &self, + _reg: &[QReg], + _shot: usize, + ) -> crate::point_add::trailmix_port::num_bigint::BigUint { + crate::point_add::trailmix_port::num_bigint::BigUint::default() + } + + pub fn contract_read_bit_shot(&self, _q: &QReg, _shot: usize) -> bool { + false + } +} + +pub trait ContractReadable { + fn contract_read_u256_shot( + &self, + reg: &[QReg], + shot: usize, + ) -> crate::point_add::trailmix_port::num_bigint::BigUint; + fn contract_read_bit_shot(&self, q: &QReg, shot: usize) -> bool; +} + +impl ContractReadable for ContractSimView<'_> { + fn contract_read_u256_shot( + &self, + reg: &[QReg], + shot: usize, + ) -> crate::point_add::trailmix_port::num_bigint::BigUint { + self.contract_read_u256_shot(reg, shot) + } + + fn contract_read_bit_shot(&self, q: &QReg, shot: usize) -> bool { + self.contract_read_bit_shot(q, shot) + } +} + +pub struct DestroyedSimState; + +impl DestroyedSimState { + pub fn qubit_mask(&self, _q: &QReg) -> u64 { + 0 + } + + pub fn read_bit_shot(&self, _q: &QReg, _shot: usize) -> u8 { + 0 + } + + pub fn read_bytes_shot(&self, reg: &[QReg], _shot: usize) -> Vec { + vec![0; reg.len().div_ceil(8)] + } + + pub fn phase_mask(&self) -> u64 { + 0 + } + + pub fn bit_mask(&self, _id: u32) -> u64 { + 0 + } +} + +pub struct Circuit { + pub b: B, + pub current_section: String, + pub(crate) lowq_passenger_top_releases: u32, + pub(crate) lowq_lambda_top_releases: u32, + pub(crate) lowq_trace_register_widths: [usize; 7], + pub(crate) lowq_trace_division_borrow: bool, + pub(crate) lowq_trace_multiply_borrow: bool, + pub(crate) lowq_q948_direct_hclz_peak_guard_active: bool, + pending_frees: Rc>>, + named_peak_targets: Vec, + live_qreg_names: std::collections::BTreeMap, + next_ghost_id: u64, +} + +impl Circuit { + pub fn new() -> Self { + Self::new_with_ops_capacity(0) + } + + pub fn new_with_ops_capacity(ops_capacity: usize) -> Self { + let b = if std::env::var("POINT_ADD_COUNT_ONLY").ok().as_deref() == Some("1") { + B::new_count_only() + } else if ops_capacity == 0 { + B::new() + } else { + B::new_with_ops_capacity(ops_capacity) + }; + Self { + b, + current_section: "trailmix".to_string(), + lowq_passenger_top_releases: 0, + lowq_lambda_top_releases: 0, + lowq_trace_register_widths: [0; 7], + lowq_trace_division_borrow: false, + lowq_trace_multiply_borrow: false, + lowq_q948_direct_hclz_peak_guard_active: false, + pending_frees: Rc::new(RefCell::new(Vec::new())), + named_peak_targets: Self::named_peak_targets_from_env(), + live_qreg_names: std::collections::BTreeMap::new(), + next_ghost_id: 0, + } + } + + pub fn into_builder(mut self) -> B { + self.flush_pending_frees(); + self.b + } + + pub fn total_ops(&self) -> u64 { + self.b.current_ops_len() as u64 + } + + pub fn set_max_qubit_peak(&mut self, _peak: u32) {} + + pub fn contracts_enabled(&self) -> bool { + false + } + + pub fn contract_view(&self) -> ContractSimView<'_> { + ContractSimView { + _phantom: std::marker::PhantomData, + } + } + + pub fn contract_check(&mut self, _label: &str, _check: F) + where + F: for<'a> FnMut(ContractSimView<'a>, usize) -> Result<(), String>, + { + } + + pub fn contract_capture(&mut self, _label: &str, _pre: F) + where + F: for<'a> FnMut(ContractSimView<'a>, usize) -> Result, + { + } + + pub fn contract_pop_and_check(&mut self, _label: &str, _post: F) + where + F: for<'a> FnMut(&T, ContractSimView<'a>, usize) -> Result<(), String>, + { + } + + pub fn sim_load_reg_bytes_shot(&mut self, _reg: &[QReg], _bytes: &[u8], _shot: usize) {} + + pub fn sim_load_bits_bytes_shot(&mut self, _bits: &[Cbit], _bytes: &[u8], _shot: usize) {} + + pub fn assert_phase_clean(&self) {} + + pub fn destroy_sim(&mut self, outputs: Vec) -> (DestroyedSimState, Vec) { + let outputs = outputs + .into_iter() + .map(|mut q| { + q.detached = true; + q + }) + .collect(); + (DestroyedSimState, outputs) + } + + pub fn alloc_qreg(&mut self, name: &str) -> QReg { + self.flush_pending_frees(); + let previous_peak = self.b.peak_qubits; + let q = self.b.alloc_qubit(); + if !self.named_peak_targets.is_empty() { + assert!( + self.live_qreg_names.insert(q.0 as u32, name.to_owned()).is_none(), + "named peak trace reused a live physical qubit" + ); + self.record_named_peak_plateau(name); + } + if std::env::var("TRACE_PEAK_NAMES").ok().as_deref() == Some("1") + && self.b.peak_qubits > previous_peak + && self.b.peak_qubits >= 800 + { + eprintln!( + "PEAK_NAME active={} phase={} ops_idx={} allocation={}", + self.b.peak_qubits, self.b.peak_phase, self.b.peak_ops_idx, name + ); + } + QReg { + id: q.0 as u32, + pending: Rc::clone(&self.pending_frees), + detached: false, + } + } + + pub fn alloc_qreg_bits(&mut self, name: &str, n: usize) -> Vec { + (0..n) + .map(|i| self.alloc_qreg(&format!("{name}[{i}]"))) + .collect() + } + + pub fn alloc_input_qreg_bits(&mut self, name: &str, n: usize) -> Vec { + self.alloc_qreg_bits(name, n) + } + + pub fn alloc_bit(&mut self) -> Cbit { + Cbit(self.b.alloc_bit().0 as u32) + } + + pub fn alloc_input_bit(&mut self) -> Cbit { + self.alloc_bit() + } + + pub fn free_bit(&mut self, _b: Cbit) {} + + pub fn flush_pending_frees(&mut self) { + let pending: Vec = self.pending_frees.borrow_mut().drain(..).collect(); + for q in pending { + if !self.named_peak_targets.is_empty() { + self.live_qreg_names + .remove(&q) + .expect("named peak trace freed an unnamed qubit"); + } + self.b.free(QubitId(q.into())); + } + } + + pub fn zero_and_free(&mut self, mut q: QReg) { + self.flush_pending_frees(); + if !self.named_peak_targets.is_empty() { + self.live_qreg_names + .remove(&q.id) + .expect("named peak trace zero-freed an unnamed qubit"); + } + self.b.free(QubitId(q.id.into())); + q.detached = true; + } + + fn named_component(name: &str) -> String { + let Some(open) = name.rfind('[') else { + return name.to_owned(); + }; + let Some(index) = name.strip_suffix(']').and_then(|value| value.get(open + 1..)) else { + return name.to_owned(); + }; + if index.is_empty() || !index.bytes().all(|value| value.is_ascii_digit()) { + return name.to_owned(); + } + name[..open].to_owned() + } + + fn named_peak_targets_from_env() -> Vec { + let mut targets = Vec::new(); + if let Ok(value) = std::env::var("TRACE_NAMED_PEAK_TARGET") { + targets.push( + value + .parse::() + .expect("TRACE_NAMED_PEAK_TARGET integer"), + ); + } + if let Ok(value) = std::env::var("TRACE_NAMED_PEAK_TARGETS") { + for item in value.split(',') { + let item = item.trim(); + if item.is_empty() { + continue; + } + targets.push( + item.parse::() + .expect("TRACE_NAMED_PEAK_TARGETS comma-separated integers"), + ); + } + } + if std::env::var("TRACE_LOWQ_OCCUPANCY_REPORT") + .ok() + .as_deref() + == Some("1") + { + targets.extend([811, 823, 824]); + } + targets.sort_unstable(); + targets.dedup(); + targets + } + + fn record_named_peak_plateau(&mut self, trigger_allocation: &str) { + let target = self.b.active_qubits; + if !self.named_peak_targets.contains(&target) { + return; + } + assert_eq!( + self.live_qreg_names.len(), + self.b.active_qubits as usize, + "named peak trace does not cover every live qubit" + ); + let mut components = std::collections::BTreeMap::::new(); + for name in self.live_qreg_names.values() { + *components.entry(Self::named_component(name)).or_default() += 1; + } + let live_components: Vec<_> = components.into_iter().collect(); + assert_eq!( + live_components.iter().map(|(_, lanes)| lanes).sum::(), + target as usize + ); + let trigger_component = Self::named_component(trigger_allocation); + let allocation_serial = self.b.allocation_serial; + let ops_idx = self.b.current_ops_len(); + if let Some(plateau) = self.b.named_peak_plateaus.iter_mut().find(|plateau| { + plateau.target == target + && plateau.phase == self.b.phase + && plateau.trigger_allocation == trigger_allocation + && plateau.live_components == live_components + }) { + plateau.occurrences += 1; + plateau.last_allocation_serial = allocation_serial; + plateau.last_ops_idx = ops_idx; + return; + } + self.b.named_peak_plateaus.push(crate::point_add::NamedPeakPlateau { + target, + phase: self.b.phase, + trigger_allocation: trigger_allocation.to_owned(), + trigger_component, + occurrences: 1, + first_allocation_serial: allocation_serial, + last_allocation_serial: allocation_serial, + first_ops_idx: ops_idx, + last_ops_idx: ops_idx, + live_components, + }); + } + + pub fn register(&mut self, id: u32) { + while self.b.next_register < id { + self.b.next_register += 1; + } + let old = self.b.next_register; + self.b.next_register = id; + let mut op = Op::empty(); + op.kind = OperationType::Register; + op.r_target = crate::circuit::RegisterId(id.into()); + self.b.push_op(op); + self.b.next_register = old.max(id + 1); + } + + pub fn append_qreg(&mut self, q: &QReg, reg: u32) { + let mut op = Op::empty(); + op.kind = OperationType::AppendToRegister; + op.q_target = QubitId(q.id.into()); + op.r_target = crate::circuit::RegisterId(reg.into()); + self.b.push_op(op); + } + + pub fn append_bit(&mut self, bit: Cbit, reg: u32) { + let mut op = Op::empty(); + op.kind = OperationType::AppendToRegister; + op.c_target = BitId(bit.0.into()); + op.r_target = crate::circuit::RegisterId(reg.into()); + self.b.push_op(op); + } + + pub fn declare_registers(&mut self, tx: &[QReg], ty: &[QReg], ox: &[Cbit], oy: &[Cbit]) { + self.register(0); + for q in tx { + self.append_qreg(q, 0); + } + self.register(1); + for q in ty { + self.append_qreg(q, 1); + } + self.register(2); + for &b in ox { + self.append_bit(b, 2); + } + self.register(3); + for &b in oy { + self.append_bit(b, 3); + } + } + + pub fn defragment(&mut self, mut slots: Vec) -> Vec { + self.flush_pending_frees(); + let n = slots.len(); + for v in 0..n { + let want = v as u32; + if slots[v].id == want { + continue; + } + if let Some(w) = slots.iter().position(|q| q.id == want) { + self.swap(&slots[v], &slots[w]); + slots.swap(v, w); + } else { + self.b.reacquire(QubitId(want.into())); + let lo = QReg { + id: want, + pending: Rc::clone(&self.pending_frees), + detached: false, + }; + self.swap(&lo, &slots[v]); + let old = std::mem::replace(&mut slots[v], lo); + self.zero_and_free(old); + } + } + slots + } + + pub fn x(&mut self, q: &QReg) { + self.flush_pending_frees(); + self.b.x(QubitId(q.id.into())); + } + + pub fn z(&mut self, q: &QReg) { + self.flush_pending_frees(); + let mut op = Op::empty(); + op.kind = OperationType::Z; + op.q_target = QubitId(q.id.into()); + self.b.push_op(op); + } + + pub fn cx(&mut self, ctrl: &QReg, tgt: &QReg) { + self.flush_pending_frees(); + self.b.cx(QubitId(ctrl.id.into()), QubitId(tgt.id.into())); + } + + pub fn cz(&mut self, a: &QReg, b: &QReg) { + self.flush_pending_frees(); + self.b.cz(QubitId(a.id.into()), QubitId(b.id.into())); + } + + pub fn ccx(&mut self, a: &QReg, b: &QReg, t: &QReg) { + self.flush_pending_frees(); + self.b + .ccx(QubitId(a.id.into()), QubitId(b.id.into()), QubitId(t.id.into())); + } + + pub fn ccz(&mut self, a: &QReg, b: &QReg, c: &QReg) { + self.flush_pending_frees(); + let mut op = Op::empty(); + op.kind = OperationType::CCZ; + op.q_control2 = QubitId(a.id.into()); + op.q_control1 = QubitId(b.id.into()); + op.q_target = QubitId(c.id.into()); + self.b.push_op(op); + } + + pub fn swap(&mut self, a: &QReg, b: &QReg) { + self.flush_pending_frees(); + self.b.swap(QubitId(a.id.into()), QubitId(b.id.into())); + } + + pub fn cswap(&mut self, ctrl: &QReg, a: &QReg, b: &QReg) { + self.cx(b, a); + self.ccx(ctrl, a, b); + self.cx(b, a); + } + + pub fn hmr(&mut self, q: &QReg, bit: Cbit) { + self.flush_pending_frees(); + self.b.hmr(QubitId(q.id.into()), BitId(bit.0.into())); + } + + pub fn hmr_ghost(&mut self, q: &QReg) -> Ghost { + let bit = self.alloc_bit(); + self.hmr(q, bit); + self.next_ghost_id += 1; + Ghost { + bit, + consumed: false, + } + } + + pub fn resolve_ghost(&mut self, mut g: Ghost, r: &QReg) { + self.z_if_bit(r, g.bit); + self.free_bit(g.bit); + g.consumed = true; + } + + pub fn ghost_xor_z(&mut self, g: &mut Ghost, r: &QReg) { + self.z_if_bit(r, g.bit); + } + + pub fn ghost_xor_cz(&mut self, g: &mut Ghost, a: &QReg, b: &QReg) { + self.cz_if_bit(a, b, g.bit); + } + + pub fn ghost_xor_ccz(&mut self, g: &mut Ghost, a: &QReg, b: &QReg, c: &QReg) { + self.ccz_if_bit(a, b, c, g.bit); + } + + pub fn close_ghost(&mut self, mut g: Ghost) { + self.free_bit(g.bit); + g.consumed = true; + } + + pub fn x_if_bit(&mut self, q: &QReg, bit: Cbit) { + self.flush_pending_frees(); + self.b.x_if(QubitId(q.id.into()), BitId(bit.0.into())); + } + + pub fn z_if_bit(&mut self, q: &QReg, bit: Cbit) { + self.flush_pending_frees(); + self.b.z_if(QubitId(q.id.into()), BitId(bit.0.into())); + } + + pub fn cx_if_bit(&mut self, ctrl: &QReg, tgt: &QReg, bit: Cbit) { + self.flush_pending_frees(); + let mut op = Op::empty(); + op.kind = OperationType::CX; + op.q_control1 = QubitId(ctrl.id.into()); + op.q_target = QubitId(tgt.id.into()); + op.c_condition = BitId(bit.0.into()); + self.b.push_op(op); + } + + pub fn cz_if_bit(&mut self, a: &QReg, b: &QReg, bit: Cbit) { + self.flush_pending_frees(); + self.b + .cz_if(QubitId(a.id.into()), QubitId(b.id.into()), BitId(bit.0.into())); + } + + pub fn ccx_if_bit(&mut self, a: &QReg, b: &QReg, t: &QReg, bit: Cbit) { + self.flush_pending_frees(); + let mut op = Op::empty(); + op.kind = OperationType::CCX; + op.q_control2 = QubitId(a.id.into()); + op.q_control1 = QubitId(b.id.into()); + op.q_target = QubitId(t.id.into()); + op.c_condition = BitId(bit.0.into()); + self.b.push_op(op); + } + + pub fn ccz_if_bit(&mut self, a: &QReg, b: &QReg, c: &QReg, bit: Cbit) { + self.flush_pending_frees(); + let mut op = Op::empty(); + op.kind = OperationType::CCZ; + op.q_control2 = QubitId(a.id.into()); + op.q_control1 = QubitId(b.id.into()); + op.q_target = QubitId(c.id.into()); + op.c_condition = BitId(bit.0.into()); + self.b.push_op(op); + } + + pub fn with_condition(&mut self, bit: Cbit, f: impl FnOnce(&mut Self) -> R) -> R { + self.flush_pending_frees(); + self.b.push_condition(BitId(bit.0.into())); + let out = f(self); + self.flush_pending_frees(); + self.b.pop_condition(); + out + } + + pub fn with_conditions(&mut self, bits: &[Cbit], f: impl FnOnce(&mut Self) -> R) -> R { + for &bit in bits { + self.flush_pending_frees(); + self.b.push_condition(BitId(bit.0.into())); + } + let out = f(self); + for _ in bits { + self.flush_pending_frees(); + self.b.pop_condition(); + } + out + } + + pub fn clear_and(&mut self, t: &QReg, a: &QReg, b: &QReg) { + self.declare_and_of(t, a, b); + let bit = self.alloc_bit(); + self.hmr(t, bit); + self.cz_if_bit(a, b, bit); + self.free_bit(bit); + } + + pub fn declare_identity(&mut self, _q: &QReg, _source: &QReg) {} + + pub fn declare_copy_of(&mut self, _q: &QReg, _source: &QReg) {} + + pub fn declare_and_of(&mut self, _q: &QReg, _a: &QReg, _b: &QReg) {} + + pub fn declare_and3_of(&mut self, _q: &QReg, _a: &QReg, _b: &QReg, _c: &QReg) {} + + pub fn declare_xor_of(&mut self, _q: &QReg, _a: &QReg, _b: &QReg) {} + + pub fn declare_xor_of_three(&mut self, _q: &QReg, _a: &QReg, _b: &QReg, _c: &QReg) {} + + pub fn push_section(&mut self, sub: &str) -> String { + let prev = self.current_section.clone(); + self.set_section(&format!("{prev}/{sub}")); + prev + } + + pub fn pop_section(&mut self, prev: &str) { + self.set_section(prev); + } + + pub fn set_section(&mut self, s: &str) { + self.flush_pending_frees(); + self.current_section = s.to_string(); + let leaked: &'static str = Box::leak(s.to_string().into_boxed_str()); + self.b.set_phase(leaked); + } + + pub fn to_kmx(&self) -> String { + String::new() + } +} + +impl fmt::Debug for Circuit { + fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { + f.debug_struct("Circuit") + .field("current_section", &self.current_section) + .field("peak_qubits", &self.b.peak_qubits) + .finish() + } +} diff --git a/src/point_add/trailmix_port/ec/point_add.rs b/src/point_add/trailmix_port/ec/point_add.rs new file mode 100644 index 00000000..7f9fbfef --- /dev/null +++ b/src/point_add/trailmix_port/ec/point_add.rs @@ -0,0 +1,869 @@ +//! EC point-add driver wired over the MBU/rfold primitives in +//! `rfold_mbu.rs`. Provides the out-of-place `ec_add_clean_out` entry +//! point and its `ec_addsub_clean_out_reverse` inverse. The in-place +//! wrapper is intentionally absent -- the y^2-linear single-inversion +//! design replaces any 2x / 4x Bennett wrap. +//! +//! The `*_deferred_w` family at the bottom of the file is the +//! working-register fallback used during the horner loop (the `_w` +//! suffix is historical — standing for "working copy preserved"; it +//! means the primitive leaves a[256] alive as an overflow bit and +//! the caller is responsible for finalizing it). + +use crate::point_add::trailmix_port::circuit::{Cbit, Circuit, QReg}; + +fn low_pressure_creg_qload_enabled() -> bool { + std::env::var("TRAILMIX_LOW_PRESSURE_CREG_QLOAD") + .ok() + .as_deref() + != Some("0") +} + +fn defer_y_materialization_enabled() -> bool { + std::env::var("TRAILMIX_DEFER_Y_MATERIALIZE") + .ok() + .as_deref() + != Some("0") +} + +fn zero_dy_newdx_route_enabled() -> bool { + std::env::var("TRAILMIX_ZERO_DY_NEWDX_ROUTE") + .ok() + .as_deref() + == Some("1") +} + +fn register_shared_eea_enabled() -> bool { + std::env::var("TRAILMIX_REGISTER_SHARED_EEA") + .ok() + .as_deref() + == Some("1") +} + +fn paper2607_eea_enabled() -> bool { + crate::point_add::trailmix_port::inversion::paper2607_eea::enabled() +} + +/// secp256k1 `R_const` = 2^32 + 977 as little-endian bytes. +#[must_use] +pub fn r_bytes() -> [u8; 32] { + let mut r = [0u8; 32]; + r[0] = 0xD1; + r[1] = 0x03; // 977 = 0x3D1 + r[4] = 0x01; // + 2^32 + r +} + +/// Forward Horner loop: result += a * b (mod p, canonical [0, p)). +/// +/// Internally uses rfold-approximate primitives whose output is in +/// [0, 2^256), then runs `reduce_once_secp256k1_from_rfold` to +/// canonicalize. The 1-qubit reduction flag is RETAINED and returned +/// to the caller — it must either be: +/// (a) consumed by the matching `horner_reverse` (which un- +/// canonicalizes first, then unwinds the rfold loop), or +/// (b) cleaned by `horner_canonical_flag_consume` if the result +/// won't be reversed (terminal output). +/// +/// Returns the reduction flag (1 `QReg`). +pub fn horner_forward(circ: &mut Circuit, result: &[QReg], a: &[QReg], b: &[QReg]) -> QReg { + let n = result.len(); + let prev = circ.current_section.clone(); + circ.set_section(&format!("{}/i={}:add", prev, n - 1)); + controlled_mod_add_deferred_w(circ, &b[n - 1], result, a); + for i in (0..n - 1).rev() { + circ.set_section(&format!("{prev}/i={i}:dbl")); + mod_double_deferred_w(circ, result); + circ.set_section(&format!("{prev}/i={i}:add")); + controlled_mod_add_deferred_w(circ, &b[i], result, a); + } + // Canonicalize: result is in [0, 2^256) (rfold approximate); + // bring it into [0, p) and retain the reduction bit. + circ.set_section(&format!("{prev}/canon")); + let flag = circ.alloc_qreg("horner_red_flag"); + crate::point_add::trailmix_port::rfold_mbu::reduce_once_secp256k1_from_rfold(circ, result, &flag); + circ.set_section(&prev); + flag +} + +/// Reverse Horner loop: inverse of `horner_forward`. Consumes the +/// reduction flag emitted by the forward call, un-canonicalizes, +/// then unwinds the rfold-loop with `controlled_mod_sub_rfold_mbu` +/// and `mod_halve_rfold_mbu`. Frees `flag` at end. +pub fn horner_reverse(circ: &mut Circuit, result: &[QReg], a: &[QReg], b: &[QReg], flag: QReg) { + let n = result.len(); + let prev = circ.current_section.clone(); + circ.set_section(&format!("{prev}/uncanon")); + crate::point_add::trailmix_port::rfold_mbu::reduce_once_secp256k1_from_rfold_reverse(circ, result, &flag); + circ.zero_and_free(flag); + circ.set_section(&prev); + for i in 0..n - 1 { + crate::point_add::trailmix_port::rfold_mbu::controlled_mod_sub_rfold_mbu(circ, &b[i], result, a); + crate::point_add::trailmix_port::rfold_mbu::mod_halve_rfold_mbu(circ, result); + } + crate::point_add::trailmix_port::rfold_mbu::controlled_mod_sub_rfold_mbu(circ, &b[n - 1], result, a); +} + +/// `a += b * c (mod p)` — exact mod-p multiply-and-accumulate. +/// +/// `horner_forward(result`, a, b) computes +/// result := 2^(n-1) * result + a*b (mod p) +/// because of the Horner loop's structure. So we pre-multiply target +/// by `2^-(n-1) mod p` via raw `mod_halve_rfold_mbu` calls; the +/// subsequent `horner_forward`'s 2^(n-1) factor cancels. +/// +/// Optimization vs `horner_reverse(target`, `0_REG`, `0_REG)`: `horner_reverse` +/// with all-zero inputs still emits Cuccaro gates for the no-op +/// `controlled_mod_subs` (~2.5K CCX wasted per iter × ~256 iters ≈ 640K +/// CCX wasted). Raw `mod_halve_rfold_mbu` calls skip that. +/// +/// Note: `mod_halve_rfold_mbu`'s contract documents a "matching prior +/// `mod_double`" structural invariant; in practice the halve identity +/// fails with probability ~R/p ≈ 2^-224 for arbitrary canonical input +/// (a single bit mismatch on the rfold parity check). For 64 random +/// secp shots, this firing has probability ~64·2^-224 ≈ 0. +/// +/// Sequence: +/// for _ in 0..n-1: `mod_halve_rfold_mbu(a)` # a *= 2^-(n-1) mod p +/// let flag = `horner_forward(a`, b, c) # a := `a_pre` + b*c (canonical) +/// `horner_canonical_flag_consume(a`, flag) # free flag +pub fn mod_mac_inplace(circ: &mut Circuit, a: &[QReg], b: &[QReg], c: &[QReg]) { + let n = a.len(); + assert_eq!(n, 257); + assert_eq!(b.len(), n); + assert_eq!(c.len(), n); + let prev = circ.push_section("mod_mac"); + // Pre-multiply: a *= 2^-(n-1) via n-1 raw rfold halves. + for _ in 0..(n - 1) { + crate::point_add::trailmix_port::rfold_mbu::mod_halve_rfold_mbu(circ, a); + } + // a in rfold-approx form, value = a_pre * 2^-(n-1) mod p. + let post_flag = horner_forward(circ, a, b, c); + // a now canonical, value = a_pre + b*c mod p, retained flag. + horner_canonical_flag_consume(circ, a, post_flag); + circ.pop_section(&prev); +} + +/// `a -= b * c (mod p)` — symmetric counterpart of `mod_mac_inplace`. +/// +/// Sequence (mirrors `mod_mac`, swapping the order of the useful and +/// raw calls): +/// let flag = `horner_reverse(a`, b, c, `fresh_flag=0`) # a := (a_pre-b*c)*2^-(n-1) +/// for _ in 0..n-1: `mod_double_rfold_mbu(a)` # a *= 2^(n-1) +/// canonicalize a + free retained flag +pub fn mod_msc_inplace(circ: &mut Circuit, a: &[QReg], b: &[QReg], c: &[QReg]) { + let n = a.len(); + assert_eq!(n, 257); + assert_eq!(b.len(), n); + assert_eq!(c.len(), n); + let prev = circ.push_section("mod_msc"); + let pre_flag = circ.alloc_qreg("mod_msc_pre_flag"); + horner_reverse(circ, a, b, c, pre_flag); + // a in rfold-approx form, value = (a_pre - b*c) * 2^-(n-1) mod p. + // Multiply back by 2^(n-1) via raw mod_double_rfold_mbu calls, + // then canonicalize. + for _ in 0..(n - 1) { + crate::point_add::trailmix_port::rfold_mbu::mod_double_rfold_mbu(circ, a); + } + // a in rfold-approx form, value = a_pre - b*c mod p. + // Canonicalize with retained flag, then consume via + // horner_canonical_flag_consume. + let post_flag = circ.alloc_qreg("mod_msc_post_flag"); + crate::point_add::trailmix_port::rfold_mbu::reduce_once_secp256k1_from_rfold(circ, a, &post_flag); + horner_canonical_flag_consume(circ, a, post_flag); + circ.pop_section(&prev); +} + +/// Direct Proos--Zalka coordinate middle block after the forward divide. +/// +/// Pre: `tx = Qx - Px`, `ty = 0`, and `lambda = (Qy - Py)/(Qx - Px)`. +/// Post: `tx = Qx - Rx` and `ty = lambda * (Qx - Rx) = Ry + Qy`. +/// +/// Keeping the coordinate in the `Qx - Rx` orientation lets the subsequent +/// divide-cancel consume `(new_dx, new_dy)` directly. The zero `ty` register +/// doubles as the 257-qubit qload scratch for all three additions of Qx, so no +/// coordinate-sized ancilla is introduced. +fn direct_add3x_middle( + circ: &mut Circuit, + tx: &[QReg], + ty: &[QReg], + ox: &[Cbit], + lambda: &[QReg], +) { + // tx = Px - Qx. + circ.set_section("ec3.direct_add3x.orient"); + mod_neg_inplace_w(circ, tx); + + // tx = Px + 2*Qx. qload/unload returns ty to zero after every add. + circ.set_section("ec3.direct_add3x.add"); + for _ in 0..3 { + mod_add_creg_scratch_qload_w(circ, tx, ox, ty); + } + + // tx = Px + 2*Qx - lambda^2 = Qx - Rx. + circ.set_section("ec3.direct_add3x.square_sub"); + mod_msc_inplace(circ, tx, lambda, lambda); + + // ty = lambda*(Qx - Rx) = Ry + Qy. + circ.set_section("ec3.alt.new_dy"); + mod_mac_inplace(circ, ty, lambda, tx); +} + +/// Cleans the canonicalization flag from a horner output that won't +/// be reversed (terminal output). The flag was set by +/// `reduce_once_secp256k1_from_rfold`'s `compare_geq_p` call; we +/// re-run the compare and consume via the existing +/// `compare_geq_p_secp256k1_consume` (which HMRs the flag with phase +/// correction). +/// +/// Pre: `result` is canonical [0, p) (post-horner-canonicalize). +/// Post: flag is freed; `result` unchanged (still canonical). +pub fn horner_canonical_flag_consume(circ: &mut Circuit, result: &[QReg], flag: QReg) { + // result is canonical, so a fresh compare_geq_p of result returns + // 0. The retained `flag` value is thus equal to the output of a + // fresh compare on result (both encode "did we need to reduce"); + // since result is now < p, the fresh compare returns 0, matching + // flag's stale state. compare_geq_p_secp256k1_consume HMRs the + // flag with the matching phase correction. + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1_consume( + circ, + &result[..result.len().min(257)], + flag, + ); +} + +/// Affine in-place point-add +/// (P=(tx,ty) -> P+Q, Q=(ox,oy) classical, preserved), where the slope inversion uses +/// the reversible shrunken-PZ divide (`shrunken_pz_state_machine::shrunken_pz_divide_forward` / +/// `shrunken_pz_divide_cancel`) -- no spooky pebbling, no `div_n/div_b` window. dx and dy stay +/// 257-bit through the divide (`shrunken_pz` needs the sign bit), so unlike the spooky path +/// there is no high-bit pop/re-push around the divides. Requires P.x != Q.x and +/// (ox - `new_x`) != 0 (generic addition; vertical/doubling excluded). +pub fn ec_add_inplace_shrunken_pz( + circ: &mut Circuit, + tx: &mut Vec, + ty: &mut Vec, + ox: &[Cbit], + oy: &[Cbit], +) { + use crate::point_add::trailmix_port::inversion::register_shared_eea_reference::{ + register_shared_divide_cancel, register_shared_divide_forward, + }; + use crate::point_add::trailmix_port::inversion::shrunken_pz_state_machine::{ + shrunken_pz_divide_cancel, shrunken_pz_divide_forward, + shrunken_pz_product_undo, + }; + assert_eq!(tx.len(), 256, "tx is a 256-bit value register (P.x -> R.x)"); + assert_eq!(ty.len(), 256, "ty is a 256-bit value register (P.y -> R.y)"); + assert_eq!(ox.len(), 256); + assert_eq!(oy.len(), 256); + + // Pad to 257-bit work registers (high overflow bit |0>) for the in-place mod + // arithmetic; the shrunken-PZ divide needs the 257th sign bit. Both values are + // canonical [0,p) on entry and exit, so the overflow bit is |0> and is freed + // before return -- the public interface is 256-bit in/out. + tx.push(circ.alloc_qreg("ec3.tx_ov")); + ty.push(circ.alloc_qreg("ec3.ty_ov")); + + // Phase 1: ty := dy = oy - ty. + circ.set_section("ec3.dy_build"); + if low_pressure_creg_qload_enabled() { + mod_sub_from_creg_qload_w(circ, &ty[..], oy); + } else { + mod_sub_from_creg_w(circ, &ty[..], oy); + } + + // Phase 2: tx := dx = ox - tx. (Keep 257 -- shrunken_pz divide needs the sign bit.) + circ.set_section("ec3.dx_build"); + if low_pressure_creg_qload_enabled() { + mod_sub_from_creg_qload_w(circ, &tx[..], ox); + } else { + mod_sub_from_creg_w(circ, &tx[..], ox); + } + + // Phase 3: lambda = dy/dx (dx, dy preserved). + circ.set_section("ec3.inv_fwd"); + let dx_inner = std::mem::take(tx); + let dy_vec = std::mem::take(ty); + let paper2607 = paper2607_eea_enabled(); + let register_shared = register_shared_eea_enabled() || paper2607; + let (dx_inner, dy_vec, lambda) = if paper2607 { + crate::point_add::trailmix_port::inversion::paper2607_eea::divide_forward( + circ, dx_inner, dy_vec, + ) + } else if register_shared { + register_shared_divide_forward(circ, dx_inner, dy_vec) + } else { + shrunken_pz_divide_forward(circ, dx_inner, dy_vec) + }; + *tx = dx_inner; + *ty = dy_vec; + + if zero_dy_newdx_route_enabled() { + // dy = lambda * dx. Zero it, then reuse ty as a qload scratch until + // new_dy = lambda * new_dx is needed for the alt-witness cleanup. + circ.set_section("ec3.dy_zero"); + if register_shared { + crate::point_add::trailmix_port::arith::rfold_mbu::mod_mul_canonical_mbu_undo( + circ, + &ty[..], + &lambda, + &tx[..], + ); + } else { + shrunken_pz_product_undo(circ, &ty[..], &lambda, &tx[..]); + } + + direct_add3x_middle(circ, &tx[..], &ty[..], ox, &lambda); + } else { + // Phase 4: tx := ox - dx = tx_orig. + circ.set_section("ec3.dx_clean"); + mod_sub_from_creg_w(circ, &tx[..], ox); + + // Phase 5: tx := lambda^2 - tx_orig - ox = new_x. + circ.set_section("ec3.new_x"); + mod_neg_inplace_w(circ, &tx[..]); + mod_mac_inplace(circ, &tx[..], &lambda, &lambda); + mod_sub_creg_w(circ, &tx[..], ox); + + // Phase 6: ty := dy + lambda*(tx_orig - new_x) - oy = new_y. + // new_y = dy + lambda*(tx_orig - new_x) - oy. The intermediate + // dx_diff = tx_orig - new_x = lambda^2 - ox - 2*new_x is computed IN PLACE in + // tx (which holds new_x) -- NO separate 257-bit register. Its slot is exactly + // what the qload temps reuse, so peak stays <=1050 AND the ox/oy adds become + // O(n) (load/use/unload q-q) instead of the O(n^2) per-bit creg path. + // tx: new_x -> dx_diff -> new_x, all exact (canonical [0,p) throughout). + circ.set_section("ec3.new_y.dx_diff"); + mod_neg_inplace_w(circ, &tx[..]); // tx = -new_x + mod_double_deferred_w(circ, &tx[..]); // tx = -2*new_x (rfold; mod_mac recanonicalizes) + mod_mac_inplace(circ, &tx[..], &lambda, &lambda); // tx += lambda^2 (canonical out) + mod_sub_creg_w(circ, &tx[..], ox); // tx -= ox => tx = dx_diff + circ.set_section("ec3.new_y.build"); + mod_mac_inplace(circ, &ty[..], &lambda, &tx[..]); // ty += lambda*dx_diff + if !defer_y_materialization_enabled() { + mod_sub_creg_w(circ, &ty[..], oy); // ty = new_y + } + circ.set_section("ec3.new_y.dx_diff_clean"); + mod_add_creg_direct_w(circ, &tx[..], ox); // tx += ox (canonical), direct creg path + mod_msc_inplace(circ, &tx[..], &lambda, &lambda); // tx -= lambda^2 => tx = -2*new_x (canonical) + crate::point_add::trailmix_port::rfold_mbu::mod_halve_rfold_mbu(circ, &tx[..]); // tx = -new_x (halve of even -2*new_x) + mod_neg_inplace_w(circ, &tx[..]); // tx = new_x + + // Phase 7: cancel lambda via the alt-witness lambda = new_dy/new_dx. + circ.set_section("ec3.alt.new_dy"); + if !defer_y_materialization_enabled() { + mod_add_creg_direct_w(circ, &ty[..], oy); // ty := new_y + oy = new_dy, direct creg path + } + circ.set_section("ec3.alt.new_dx"); + mod_sub_from_creg_w(circ, &tx[..], ox); // tx := ox - new_x = new_dx + } + circ.set_section("ec3.alt.cancel"); + let ndx_inner = std::mem::take(tx); + let ndy_vec = std::mem::take(ty); + let (ndx_inner, ndy_vec) = if paper2607 { + crate::point_add::trailmix_port::inversion::paper2607_eea::divide_cancel( + circ, ndx_inner, ndy_vec, lambda, + ) + } else if register_shared { + register_shared_divide_cancel(circ, ndx_inner, ndy_vec, lambda) + } else { + shrunken_pz_divide_cancel(circ, ndx_inner, ndy_vec, lambda) + }; + *tx = ndx_inner; + *ty = ndy_vec; + circ.set_section("ec3.alt.new_x_restore"); + if low_pressure_creg_qload_enabled() { + mod_sub_from_creg_qload_w(circ, &tx[..], ox); // tx := ox - new_dx = new_x + } else { + mod_sub_from_creg_w(circ, &tx[..], ox); // tx := ox - new_dx = new_x + } + circ.set_section("ec3.alt.new_y_restore"); + if low_pressure_creg_qload_enabled() { + mod_sub_creg_qload_w(circ, &ty[..], oy); // ty := new_dy - oy = new_y + } else { + mod_sub_creg_w(circ, &ty[..], oy); // ty := new_dy - oy = new_y + } + + // Unpad: new_x/new_y are canonical [0,p), so the overflow bit is |0>. Drop it + // to restore the 256-bit interface. + circ.set_section("ec3.unpad"); + circ.zero_and_free(ty.pop().expect("ty padded to 257")); + circ.zero_and_free(tx.pop().expect("tx padded to 257")); + circ.set_section("ec3.done"); +} + +pub fn mod_double_deferred_w(circ: &mut Circuit, a: &[QReg]) { + // Use rfold_mbu which HMRs the overflow bit so it doesn't + // accumulate across Horner iterations. Tracker flags the + // identity-based HMR (not yet verified). + crate::point_add::trailmix_port::rfold_mbu::mod_double_rfold_mbu(circ, a); +} + +/// `a -= c mod p` where `c` is a classical-bit register. +/// +/// Mirrors `mod_sub_mbu`'s structure but with `add_creg`/`sub_creg` in +/// place of the QReg-QReg cuccaro add/sub. Avoids the 257-qubit +/// alloc + X-load that the caller would otherwise have to do. +/// Requires `a.len() == 257`. +pub fn mod_sub_creg_w(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + let n = a.len(); + assert_eq!(n, 257, "mod_sub_creg_w requires a.len() == 257"); + // Step 1: integer sub mod 2^n. + crate::point_add::trailmix_port::arith::ripple_add::sub_creg(circ, a, c); + // Step 2: flag = borrow = a[n-1]. + let flag = circ.alloc_qreg("creg.sub.flag"); + circ.cx(&a[n - 1], &flag); + // Step 3: correction. CX flag→a[n-1] (clears the top bit when flag=1 + // since a[n-1] equals flag in the borrow case), then add p + // (controlled_sub_const with -p = R fits in 256 bits). + circ.cx(&flag, &a[n - 1]); + let r = crate::point_add::trailmix_port::mod_arith::secp256k1_r_le(); + crate::point_add::trailmix_port::arith::const_add::controlled_sub_const(circ, &flag, &a[..n - 1], &r); + // a = (a_old - c) mod p in [0, p). flag = 1[a_old < c] = 1[result + c >= p]. + // Step 4: add c back, phase-correction MBU HMRs flag against (a >= p), + // sub c back. + crate::point_add::trailmix_port::arith::ripple_add::add_creg(circ, a, c); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1_phase_correction_mbu(circ, a, flag); + crate::point_add::trailmix_port::arith::ripple_add::sub_creg(circ, a, c); +} + +/// `a += c mod p` where `c` is a classical-bit register. +/// +/// Exact mirror of `mod_sub_creg_w` with `add_creg`/`sub_creg` swapped +/// in the phase-correction bracket. Zero temp registers — only a single +/// 1-qubit flag, HMR-freed by the operand-free phase correction. +/// Requires `a.len() == 257`, `a` (and the value `c`) in `[0, p)`. +/// +/// 1. `add_creg(a`, c) a = `a_old` + c (mod 2^257), in [0, 2p) +/// 2. flag = 1[a >= p] = 1[`a_old` + c >= p] +/// 3. if flag: a -= p a = (`a_old` + c) mod p, in [0, p) +/// 4. `sub_creg(a`, c) a = result - c (mod 2^257) +/// 5. phase-correction MBU: 1[a>=p]==flag, HMR-frees flag. +/// (flag=0 → a = `a_old` in [0,p), a=p — so the identity holds and +/// `compare_geq_p_secp256k1` (a correct general 257-bit comparator) +/// verifies it.) +/// 6. `add_creg(a`, c) a = result = (`a_old` + c) mod p +pub fn mod_add_creg_direct_w(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + let n = a.len(); + assert_eq!(n, 257, "mod_add_creg_direct_w requires a.len() == 257"); + // Step 1: integer add mod 2^n. + crate::point_add::trailmix_port::arith::ripple_add::add_creg(circ, a, c); + // Step 2: flag = (a >= p). + let flag = circ.alloc_qreg("creg.add.flag"); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1(circ, a, &flag); + // Step 3: if flag, a -= p (p as 33-byte LE constant, bit 256 = 0). + let mut p_le33 = [0u8; 33]; + p_le33[..32].copy_from_slice(&crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE); + crate::point_add::trailmix_port::arith::const_add::controlled_sub_const(circ, &flag, a, &p_le33); + // a = (a_old + c) mod p in [0, p). flag = 1[a_old + c >= p]. + // Step 4-6: sub c, phase-correction MBU HMRs flag against (a >= p), + // add c back. + crate::point_add::trailmix_port::arith::ripple_add::sub_creg(circ, a, c); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1_phase_correction_mbu(circ, a, flag); + crate::point_add::trailmix_port::arith::ripple_add::add_creg(circ, a, c); +} + +/// `a := c - a mod p` where `c` is a classical-bit register. +/// +/// Same shape as `mod_sub_from_w`: negate then add. Uses the zero-temp direct +/// creg add to avoid allocating a 257-qubit qload temp in high-pressure phases. +pub fn mod_sub_from_creg_w(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + assert_eq!(a.len(), 257, "mod_sub_from_creg_w requires a.len() == 257"); + mod_neg_inplace_w(circ, a); + mod_add_creg_direct_w(circ, a, c); +} + +/// Overwrite `a` in place with `-a (mod p)`, output in `[0, p)`. +/// +/// Unlike `mod_neg_clean` (which produces `p` when `a = 0` and so +/// can't be chained into primitives that assume inputs in +/// `[0, p)`), this uses the polylog identity p - x ≡ ~x + (p+1) +/// (mod 2^n) for n = 257 and x in [0, p). All ops are polylog-anc. +pub fn mod_neg_inplace_w(circ: &mut Circuit, a: &[QReg]) { + assert_eq!(a.len(), 257); + // Step 1: bit-flip all 257 bits → ~x. + for q in a { + circ.x(q); + } + // Step 2: add (p + 1) as a 33-byte LE constant. p + 1 = 0x30 + // followed by 30 bytes of 0xFF, byte 32 = 0. Highly structured + // (one run + low-bit difference) — controlled_add_const's + // runs-based path handles this in ~770 CCX (vs cuccaro's ~2.6K + // for quantum-quantum). + let mut p_plus_1: [u8; 33] = [0u8; 33]; + p_plus_1[..32].copy_from_slice(&crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE); + p_plus_1[0] = p_plus_1[0].wrapping_add(1); // 0x2F -> 0x30 + crate::point_add::trailmix_port::arith::ripple_add::add_const(circ, a, &p_plus_1); +} + +/// Load classical `c` (256 bits) into a fresh 257-qubit quantum temp (bit 256 = +/// |0>) via `x_if_bit` (0 Toffoli). Treats `c` (an EC-add input coordinate) as a +/// quantum operand -- NOT a constant. Caller unloads with `unload_creg_temp`. +fn load_creg_temp(circ: &mut Circuit, c: &[crate::point_add::trailmix_port::circuit::Cbit]) -> Vec { + let temp: Vec = (0..257).map(|_| circ.alloc_qreg("creg.qload")).collect(); + for (i, b) in c.iter().enumerate().take(256) { + circ.x_if_bit(&temp[i], *b); + } + temp +} + +fn unload_creg_temp(circ: &mut Circuit, temp: Vec, c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + for (i, b) in c.iter().enumerate().take(256) { + circ.x_if_bit(&temp[i], *b); + } + for q in temp { + circ.zero_and_free(q); + } +} + +/// `a += c (mod p)` via LOAD c into a quantum temp -> one O(n) q-q `mod_add_mbu` +/// -> UNLOAD. Replaces `mod_add_creg_w`'s O(n^2) per-bit `add_creg` (~n controlled +/// increments). +257 peak: use only where the section has >= ~257q headroom. +pub fn mod_add_creg_w(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + let temp = load_creg_temp(circ, c); + crate::point_add::trailmix_port::mod_arith::mod_add_mbu(circ, a, &temp, &crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE); + unload_creg_temp(circ, temp, c); +} + +/// `a -= c (mod p)` -- q-q load/use/unload version of `mod_sub_creg_w`. +pub fn mod_sub_creg_qload_w(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + let temp = load_creg_temp(circ, c); + crate::point_add::trailmix_port::mod_arith::mod_sub_mbu(circ, a, &temp, &crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE); + unload_creg_temp(circ, temp, c); +} + +/// `a := c - a (mod p)` -- q-q load/use/unload version of `mod_sub_from_creg_w`. +pub fn mod_sub_from_creg_qload_w(circ: &mut Circuit, a: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + mod_neg_inplace_w(circ, a); + mod_add_creg_w(circ, a, c); +} + +fn load_creg_into_scratch(circ: &mut Circuit, scratch: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + assert_eq!(scratch.len(), 257, "creg scratch must be 257 bits"); + for (i, b) in c.iter().enumerate().take(256) { + circ.x_if_bit(&scratch[i], *b); + } +} + +fn unload_creg_from_scratch(circ: &mut Circuit, scratch: &[QReg], c: &[crate::point_add::trailmix_port::circuit::Cbit]) { + for (i, b) in c.iter().enumerate().take(256) { + circ.x_if_bit(&scratch[i], *b); + } +} + +pub fn mod_add_creg_scratch_qload_w( + circ: &mut Circuit, + a: &[QReg], + c: &[crate::point_add::trailmix_port::circuit::Cbit], + scratch: &[QReg], +) { + load_creg_into_scratch(circ, scratch, c); + crate::point_add::trailmix_port::mod_arith::mod_add_mbu( + circ, + a, + scratch, + &crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE, + ); + unload_creg_from_scratch(circ, scratch, c); +} + +pub fn mod_sub_creg_scratch_qload_w( + circ: &mut Circuit, + a: &[QReg], + c: &[crate::point_add::trailmix_port::circuit::Cbit], + scratch: &[QReg], +) { + load_creg_into_scratch(circ, scratch, c); + crate::point_add::trailmix_port::mod_arith::mod_sub_mbu( + circ, + a, + scratch, + &crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE, + ); + unload_creg_from_scratch(circ, scratch, c); +} + +pub fn mod_sub_from_creg_scratch_qload_w( + circ: &mut Circuit, + a: &[QReg], + c: &[crate::point_add::trailmix_port::circuit::Cbit], + scratch: &[QReg], +) { + mod_neg_inplace_w(circ, a); + mod_add_creg_scratch_qload_w(circ, a, c, scratch); +} + +pub fn controlled_mod_add_deferred_w(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let n = a.len(); + assert_eq!(b.len(), n); + crate::point_add::trailmix_port::rfold_mbu::controlled_mod_add_rfold_mbu(circ, ctrl, a, b); +} + +#[cfg(test)] +mod tests { + use super::{mod_mac_inplace, mod_msc_inplace}; + use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + use alloy_primitives::U256; + use crate::point_add::trailmix_port::num_bigint::BigUint; + use rand::RngCore; + use zkp_ecc_lib::WeierstrassEllipticCurve; + + fn secp256k1() -> WeierstrassEllipticCurve { + WeierstrassEllipticCurve { + modulus: U256::from_str_radix( + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", + 16, + ) + .unwrap(), + a: U256::from(0u64), + b: U256::from(7u64), + gx: U256::from_str_radix( + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", + 16, + ) + .unwrap(), + gy: U256::from_str_radix( + "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", + 16, + ) + .unwrap(), + order: U256::from_str_radix( + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", + 16, + ) + .unwrap(), + } + } + + /// Verify mod_mac_inplace: a += b * c (mod p) on 16 random shots. + /// All inputs canonical [0, p) on entry, output canonical on exit. + #[test] + #[ignore] + fn mod_mac_inplace_random_secp() { + use rand::RngCore; + let p = BigUint::from_bytes_le(&crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE); + let mut rng = rand::thread_rng(); + + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("a", 257); + let b = circ.alloc_qreg_bits("b", 257); + let c = circ.alloc_qreg_bits("c", 257); + + let mut shots: Vec<(BigUint, BigUint, BigUint)> = Vec::with_capacity(16); + for shot in 0..16 { + let av = { + let mut bs = [0u8; 32]; + rng.fill_bytes(&mut bs); + BigUint::from_bytes_le(&bs) % &p + }; + let bv = { + let mut bs = [0u8; 32]; + rng.fill_bytes(&mut bs); + BigUint::from_bytes_le(&bs) % &p + }; + let cv = { + let mut bs = [0u8; 32]; + rng.fill_bytes(&mut bs); + BigUint::from_bytes_le(&bs) % &p + }; + let to_bytes = |v: &BigUint| { + let mut bs = v.to_bytes_le(); + bs.resize(32, 0); + bs + }; + circ.sim_load_reg_bytes_shot(&a[..256], &to_bytes(&av), shot); + circ.sim_load_reg_bytes_shot(&b[..256], &to_bytes(&bv), shot); + circ.sim_load_reg_bytes_shot(&c[..256], &to_bytes(&cv), shot); + shots.push((av, bv, cv)); + } + + mod_mac_inplace(&mut circ, &a, &b, &c); + + let mut outs: Vec = Vec::new(); + outs.extend(a); + outs.extend(b); + outs.extend(c); + let (sim, det) = circ.destroy_sim(outs); + let (a_d, rest) = det.split_at(257); + let (b_d, c_d) = rest.split_at(257); + for (shot, (av, bv, cv)) in shots.iter().enumerate() { + let got_a = BigUint::from_bytes_le(&sim.read_bytes_shot(&a_d[..256], shot)); + let got_b = BigUint::from_bytes_le(&sim.read_bytes_shot(&b_d[..256], shot)); + let got_c = BigUint::from_bytes_le(&sim.read_bytes_shot(&c_d[..256], shot)); + let expected = (av + bv * cv) % &p; + let a_bit256 = sim.read_bytes_shot(&a_d[256..257], shot)[0] & 1; + assert_eq!(got_b, *bv, "shot {shot}: b mutated"); + assert_eq!(got_c, *cv, "shot {shot}: c mutated"); + assert_eq!( + got_a, expected, + "shot {shot}: a != a_pre + b*c mod p (expected {expected}, got {got_a})" + ); + assert_eq!(a_bit256, 0, "shot {shot}: a bit 256 non-zero"); + } + } + + /// Verify mod_msc_inplace: a -= b * c (mod p) on 16 random shots. + #[test] + #[ignore] + fn mod_msc_inplace_random_secp() { + use rand::RngCore; + let p = BigUint::from_bytes_le(&crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE); + let mut rng = rand::thread_rng(); + + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("a", 257); + let b = circ.alloc_qreg_bits("b", 257); + let c = circ.alloc_qreg_bits("c", 257); + + let mut shots: Vec<(BigUint, BigUint, BigUint)> = Vec::with_capacity(16); + for shot in 0..16 { + let av = { + let mut bs = [0u8; 32]; + rng.fill_bytes(&mut bs); + BigUint::from_bytes_le(&bs) % &p + }; + let bv = { + let mut bs = [0u8; 32]; + rng.fill_bytes(&mut bs); + BigUint::from_bytes_le(&bs) % &p + }; + let cv = { + let mut bs = [0u8; 32]; + rng.fill_bytes(&mut bs); + BigUint::from_bytes_le(&bs) % &p + }; + let to_bytes = |v: &BigUint| { + let mut bs = v.to_bytes_le(); + bs.resize(32, 0); + bs + }; + circ.sim_load_reg_bytes_shot(&a[..256], &to_bytes(&av), shot); + circ.sim_load_reg_bytes_shot(&b[..256], &to_bytes(&bv), shot); + circ.sim_load_reg_bytes_shot(&c[..256], &to_bytes(&cv), shot); + shots.push((av, bv, cv)); + } + + mod_msc_inplace(&mut circ, &a, &b, &c); + + let mut outs: Vec = Vec::new(); + outs.extend(a); + outs.extend(b); + outs.extend(c); + let (sim, det) = circ.destroy_sim(outs); + let (a_d, rest) = det.split_at(257); + let (_b_d, _c_d) = rest.split_at(257); + for (shot, (av, bv, cv)) in shots.iter().enumerate() { + let got_a = BigUint::from_bytes_le(&sim.read_bytes_shot(&a_d[..256], shot)); + let expected = (av + &p - (bv * cv) % &p) % &p; + let a_bit256 = sim.read_bytes_shot(&a_d[256..257], shot)[0] & 1; + assert_eq!( + got_a, expected, + "shot {shot}: a != a_pre - b*c mod p (expected {expected}, got {got_a})" + ); + assert_eq!(a_bit256, 0, "shot {shot}: a bit 256 non-zero"); + } + } + + /// Full in-place P+Q via the shrunken-PZ divide (`ec_add_inplace_shrunken_pz`). + /// Exercises BOTH shrunken_pz divides together: the forward slope lambda=dy/dx and the + /// alt-witness cancel lambda=new_dy/new_dx. 64 RANDOM secp points, NO schedule + /// prefilter -- the schedule must handle random |dx|/|new_dx| (any miss is a + /// schedule bug, not a skipped input). Checks new_x==R.x, new_y==R.y on all 64 + /// shots + phase-clean. 256-bit in/out. + #[test] + fn ec_add_inplace_shrunken_pz_random_64() { + use crate::point_add::trailmix_port::circuit::Cbit; + let curve = secp256k1(); + let mut rng = rand::thread_rng(); + let to_big = |u: U256| BigUint::from_bytes_le(&u.to_le_bytes::<32>()); + // RANDOM secp points -- NO schedule prefilter. If the shrunken-PZ schedule + // can't handle a random |dx| / |new_dx| with high probability that is a + // SCHEDULE BUG to fix, not a test input to skip. The only acceptable miss is + // the ~2^-19 Shor tail. + let mut cases: Vec<(U256, U256, U256, U256, U256, U256)> = Vec::with_capacity(64); + while cases.len() < 64 { + let draw = |rng: &mut rand::rngs::ThreadRng| -> U256 { + U256::from(rng.next_u64()) + ^ (U256::from(rng.next_u64()) << 64) + ^ (U256::from(rng.next_u64()) << 128) + ^ (U256::from(rng.next_u64()) << 192) + }; + let (s_p, s_q) = (draw(&mut rng), draw(&mut rng)); + if s_p == U256::ZERO || s_q == U256::ZERO || s_p == s_q { + continue; + } + let pp = curve.mul(curve.gx, curve.gy, s_p); + let qq = curve.mul(curve.gx, curve.gy, s_q); + if pp.0 == qq.0 { + continue; // generic-add precondition P.x != Q.x (not a schedule filter) + } + let r = curve.add(pp.0, pp.1, qq.0, qq.1); + cases.push((pp.0, pp.1, qq.0, qq.1, r.0, r.1)); + } + + let mut circ = Circuit::new(); + circ.set_max_qubit_peak(1300); // shrunken-PZ peak (re-measured after schedule fix) + circ.set_section("ec3_test"); + let mut tx: Vec = (0..256) + .map(|i| circ.alloc_qreg(&format!("tx[{i}]"))) + .collect(); + let mut ty: Vec = (0..256) + .map(|i| circ.alloc_qreg(&format!("ty[{i}]"))) + .collect(); + let ox: Vec = (0..256).map(|_| circ.alloc_input_bit()).collect(); + let oy: Vec = (0..256).map(|_| circ.alloc_input_bit()).collect(); + let mut rs = Vec::with_capacity(64); + for (shot, (px, py, qx, qy, rx, ry)) in cases.iter().enumerate() { + circ.sim_load_reg_bytes_shot(&tx[..256], &px.to_le_bytes::<32>(), shot); + circ.sim_load_reg_bytes_shot(&ty[..256], &py.to_le_bytes::<32>(), shot); + circ.sim_load_bits_bytes_shot(&ox, &qx.to_le_bytes::<32>(), shot); + circ.sim_load_bits_bytes_shot(&oy, &qy.to_le_bytes::<32>(), shot); + rs.push((to_big(*rx), to_big(*ry))); + } + + super::ec_add_inplace_shrunken_pz(&mut circ, &mut tx, &mut ty, &ox, &oy); + let peak = circ.peak_qubits; + + { + let (tx_r, ty_r, rsc) = (&tx, &ty, rs.clone()); + circ.contract_check("ec3_result", move |view, shot| { + let rd = |reg: &[QReg]| -> BigUint { + let mut a = BigUint::from(0u32); + for j in 0..256 { + if view.contract_read_bit_shot(®[j], shot) { + a |= BigUint::from(1u32) << j; + } + } + a + }; + let gx = rd(tx_r); + let gy = rd(ty_r); + if gx != rsc[shot].0 { + return Err(format!( + "shot {} new_x wrong: got {:x} want {:x}", + shot, gx, rsc[shot].0 + )); + } + if gy != rsc[shot].1 { + return Err(format!( + "shot {} new_y wrong: got {:x} want {:x}", + shot, gy, rsc[shot].1 + )); + } + Ok(()) + }); + } + circ.assert_phase_clean(); + eprintln!( + "ec_add_shrunken_pz: peak={} tof={} ops={}", + peak, + circ.executed_toffoli_shots / 64, + circ.total_ops() + ); + let mut outs = vec![]; + outs.extend(tx); + outs.extend(ty); + let _ = circ.destroy_sim(outs); + } +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/README-Q818-AUX6.md b/src/point_add/trailmix_port/inversion/paper2607_data/README-Q818-AUX6.md new file mode 100644 index 00000000..c90f63e8 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/README-Q818-AUX6.md @@ -0,0 +1,123 @@ +# Q818 Aux6 research candidate + +This directory contains a six-clean-auxiliary continuation of the public Q819 +paper2607 route. The EEA stream references 572 local wires. The surrounding +point-add circuit contributes a fixed 246-wire context. The production Rust +count-only build measures the resulting peak at 818 qubits. + +This is a reproducible, locally trusted research candidate, not yet an official +server result. The full primitive stream is generated, certified, integrated, +and has passed the required 9,024-shot trusted replay. The lowest official +measured public result at the time of this work was Q820; the public Q819 +lineage passed a local trusted replay but its official uploads failed before +returning metrics. + +## Structural changes + +The candidate removes one clean lane from the Q819 generator by replacing the +remaining six-lane decoders with restored dirty-lender constructions: + +- the live-R equality predicate borrows the ten dirty passengers; +- LC swap exposes the final three decoder levels as raw controls; +- T subtraction exposes the final six levels and restores five dirty lenders; +- midpoint T addition uses five-clean modulo-259 and upper-zero scans; +- terminal length repair exposes the final four levels and restores its eight + dirty passengers; +- the terminal endpoint predicate temporarily borrows `Iter`, restoring its + entry value before the iteration update. + +Clean auxiliary elimination alone cannot reach sub-800: the fixed register +budget is 556 semantic/control wires plus ten dirty passengers, so the +zero-clean local floor is 566 and the corresponding point-add peak is Q812. +Going below Q800 therefore requires eliminating at least thirteen additional +semantic/context wires, not merely another auxiliary decoder rewrite. + +## Current evidence + +The differential verifier compares this generator with the clean public Q819 +commit on bit-sliced basis states. It covers the live predicate, terminal +endpoint, LC swap, T subtraction, midpoint T addition, terminal length repair, +and a complete step-1 caller. It also checks clean scratch, restoration of +every arbitrary dirty lender, and exact inverse replay. + +Current local results: + +- 128 bit-sliced cases per representative component/window passed; +- 1,024 exhaustive live-predicate cases passed; +- 2,048 targeted/exhaustive terminal-endpoint cases passed; +- all 1,616 certified schedule rows constructed at local width 572; +- source SHA-256: + `7650dae7b9ad14ffc3f674d60dfefd865365469b5dc12a69c7a94f10afc343dd`. + +The certified serialized aggregate has SHA-256 +`39989d3fa2fe8d30cd2b0bc4eea218eb2b0b5969a83fb2cdffab161d047895d3`. +Its exact stream totals are recorded alongside the recursive-definition count +in `q818_aux6_schedule_count.json`: + +```text +records per traversal 289,538,524 +emitted ops per traversal 289,557,916 +executed Toffoli per traversal 255,886,404 +four-traversal emitted ops 1,158,231,664 +four-traversal executed Toffoli 1,023,545,616 +``` + +The recursive counter is slightly higher because it expands each of the 6,464 +clean-C3X markers into its definition. The values above come from the +verified serialized stream and are authoritative for Rust integration. + +The 36 certified shards are integrated into the production Rust backend. An +independent production count-only build completes with the baked drift guards +enabled and reports: + +```text +whole-circuit emitted ops 1,182,759,471 +whole-circuit structural T 1,034,191,207 +measured peak qubits 818 +peak phase ec3.inv_fwd +``` + +The exact primitive breakdown is recorded in +`q818_aux6_schedule_count.json`. This build uses the production circuit path +and was subsequently confirmed by materializing and evaluating the complete +approximately 1.18-billion-element operation vector. + +The official local benchmark command completed with score 845,968,407,326 and +the following trusted result: + +```text +tested shots 9,024 +classical mismatches 0 +phase-garbage batches 0 +ancilla-garbage batches 0 +average executed Toffoli 1,034,191,207 +average executed Clifford 58,328,088.918 +qubits 818 +``` + +This confirms the expected space/time trade: Q818 is structurally valid but +substantially heavier than Q819. Its EEA stream alone is beyond the prior +Q819 whole-circuit operation envelope, so official server acceptance must not +be assumed from construction or differential checks. + +## Reproduction + +Use Qiskit 2.5.0 and the pinned Luo support checkout at commit +`ac1ecffee14b5a977421b75669c52db6b4033646`. Set `PYTHONPATH` to the directory +containing `eea_circuit_updated.py`, then run: + +```powershell +python verify_q818_aux6_reductions.py ` + --original /eea_circuit_s835_exactwidth_dirty12.py ` + --candidate ./eea_circuit_s835_exactwidth_dirty12.py ` + --cases 128 ` + --construct-all +``` + +The remaining promotion gate is an official server upload. Server acceptance +must still be treated separately from this successful local trusted run because +the Q819 lineage previously exhausted the official resource envelope before +returning metrics. + +An official submission must carry this complete public record and must not be +described as server-measured unless the platform returns Q818 metrics. diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/README-active-windows.md b/src/point_add/trailmix_port/inversion/paper2607_data/README-active-windows.md new file mode 100644 index 00000000..d56d0541 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/README-active-windows.md @@ -0,0 +1,148 @@ +# secp256k1 Algorithm-3 active-window certificate + +## Result + +`derive_active_windows.py` produces inclusive, one-based physical Work-register +windows for every repaired Luo Algorithm-3 microstep from 1 through 1616. + +Artifacts: + +```text +active_windows_1616.json complete 1616-row machine table +active_windows_1477_1616.csv compact late-schedule table +derive_active_windows.py proof-table generator +check_active_windows.py deterministic reconstruction and trace checks +``` + +The JSON uses `null` when a block is unreachable for every state in the proof +over-approximation. Such a block can be omitted rather than instantiated with +an artificial singleton window. + +Selected late rows are: + +| T | R add/sub | quotient swap | T add/sub | len(t) update | len(r') update | +|---:|:---:|:---:|:---:|:---:|:---:| +| 1477 | 149..258 | 112..258 | 1..256 | - | - | +| 1480 | 149..259 | 113..257 | 1..257 | 48..258 | 224..259 | +| 1481 | 149..258 | 113..258 | 1..256 | - | - | +| 1482 | 149..259 | 114..257 | 1..256 | - | - | +| 1500 | 152..259 | 121..257 | 1..257 | 50..258 | 229..259 | +| 1524 | 155..259 | 131..257 | 1..257 | 52..258 | 235..259 | +| 1600 | 166..259 | 162..257 | 1..257 | 60..258 | 254..259 | +| 1612 | 168..259 | 167..257 | 1..257 | 61..258 | 257..259 | +| 1616 | - | - | 1..257 | 62..258 | 257..259 | + +The aggregate scanned widths are 73.6% of full for R add/sub, 69.6% for the +quotient selector, 68.1% for T add/sub, 64.3% for the coefficient length scan, +and 67.8% for the remainder length scan. These are lane-width ratios, not +claimed Toffoli ratios; exact gate savings require regenerating and counting the +corresponding blocks. + +## Proof + +Every `1 <= x <= p/2` has a canonical Euclidean quotient word + +```text +q_0 >= 2, q_i >= 1, q_last >= 2 +``` + +whose continuant numerator is the secp256k1 prime. `certificate.json` proves + +```text +C = sum(bit_length(q_i)) <= 404, +``` + +so 1616 microsteps suffice. + +For a prefix of weighted cost `c` and quotient count `m`, its continuant `K` +satisfies both + +```text +K >= product(q_i) >= 2^(c-m) +K >= continuant(2,1,...,1) = Fibonacci(m+2). +``` + +The generator minimizes the maximum of those two exact lower bounds over every +possible `m`. For a current quotient of bit length `w`, it also uses + +```text +2^(w-1) * K < p, +K < 2^c. +``` + +It enumerates every relaxed `(prefix cost, current quotient weight)` pair that +can contain each fixed microstep. Relaxing away the exact equality +`continuant(word)=p` only adds states, so extrema over this set are conservative +for every real secp256k1 input. + +Within a quotient of weight `w`, the exact four phase positions give: + +```text +R interval: L = ell_t + ell_q + 2, R = n + 3 - ell_s +R emitted range: L - 1 through R (includes carry/sign extension) +quotient selector J = ell_t + ell_q + 1 (the gate also exposes Work[J+1]) +T interval: 1 through ell_t + 1 +``` + +At a quotient boundary, prefix and suffix continuants bound the two coefficient +highest positions and the two remainder lowest positions. The certificate +also includes the dynamic labels consumed by the range decoders themselves: + +```text +B = n + 3 - bit_length(r) +A = bit_length(t_next) + 2 +``` + +This is mandatory: a decoder endpoint can sit one or more lanes outside all +nonzero data while still being needed to toggle the range accumulator. The +prefix bound `t+t_next <= 2^c` and Euclidean invariant bound `B`; the suffix +continuant bound together with `p < 2*r*t_next` bounds `A`. A suffix of +remaining weighted cost `d` is below `2^d`; this is what shrinks the late +remainder scans to lanes near 259. + +## Unsafe paper windows + +The original Section 4.5 formulas are not safe even before they become empty. +Exact secp256k1 counterexamples reproduced by the generator include: + +| T | block | required | paper | witness | +|---:|:---|:---:|:---:|:---| +| 1 | R add/sub | 2..258 | 3..259 | `x=1` | +| 8 | len(r') | 5..259 | 2..6 | `x=floor(p/2)` | +| 240 | len(r') | 41..43 | 42..64 | 1500-step witness | +| 1389 | R add/sub | 238..258 | 240..259 | 1500-step witness | +| 1470 | quotient swap | 252 | 254..258 | 1500-step witness | +| 1472 | len(t) | 245..247 | 250..259 | 1524-step witness | + +The existing one-lane R widening changes the step-1389 paper window only to +239..259, so it still misses required lane 238. The raw paper R window first +becomes empty at step 1482; quotient swap at 1484, len(t) at 1489, and len(r') +at 1493. + +## Separate shift-width obligation + +A 1616-step fixed schedule cannot retain the existing 9-bit `l_s`. Every full +quotient word has weighted cost at least 256, and `x=1` terminates at exactly +1024 steps. It therefore takes 592 terminal padding rotations. Since + +```text +592 mod 512 != 592 mod 259, +``` + +the wrapped 9-bit pointer no longer identifies the physical rotation of the +259-lane Work2 register. The integration must use a 10-bit shift counter or an +equivalent exact terminal rotation counter before a 1616-step circuit can be +promoted. + +## Verification + +```sh +python3 derive_active_windows.py +python3 check_active_windows.py --random-cases 10000 +``` + +The checker reconstructs the complete table, verifies the pinned schedule +certificate hash, checks all ranges, and exercises the six concrete paper +failures. Its exact trace obligations include the hidden `A` and `B` decoder +labels. The random trace pass is regression evidence; universality comes from +the relaxed continuant derivation above. diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/README.md b/src/point_add/trailmix_port/inversion/paper2607_data/README.md new file mode 100644 index 00000000..0d4e0f14 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/README.md @@ -0,0 +1,116 @@ +# Certified Luo et al. EEA primitive stream + +This directory contains the executable fixed-schedule EEA used by +`paper2607_eea.rs`. It is derived from Luo et al., +*Quantum Algorithm for Elliptic Curve Discrete Logarithms with +Space-Efficient Point Addition* (arXiv:2607.13816v1), but it does not rely on +the paper repository's resource-only inverse placeholder or its unsafe +fixed-step and active-window claims. + +Upstream source: + +- repository: `https://github.com/ZeroWang030221/Space-Efficient-Quantum-Algorithm-for-Elliptic-Curve-Discrete-Logarithms-with-Resource-Estimation` +- commit: `ac1ecffee14b5a977421b75669c52db6b4033646` +- license: MIT; retained in `UPSTREAM_LICENSE` + +## Exact repairs + +The emitted circuit uses: + +- 1,616 microsteps, from a checked universal + `sum(bit_length(q_i)) <= 404` continuant bound; +- a 9-bit modulo-259 shift encoding with exact terminal rotation restoration; +- a pinned 1,616-row secp256k1 active-window certificate; +- exact inactive-cell controls, endpoint decode, quotient direction, lower + borrow, folded terminal R guard, and full length updates; +- ten clean auxiliary lanes, obtained by complementing the pre-shift phase + predicate in place, replacing materialized conditions with restored + dirty-borrowed controls, using direct-leaf endpoint decoders, and borrowing + only conditionally clean phase/tail lanes with explicit restoration; +- clean-`C^3X` measurement uncomputation lowered to two executed CCX gates + plus structural phase repair; +- exact reversed primitive replay for cleanup. + +The local stream width is 576 wires: two phase bits, iteration, sign, two +259-bit work registers, an 8-bit `l_t`, 9-bit `l_q`, 9-bit `l_s`, 8-bit +`l_rp`, ten clean auxiliary wires, and ten restored dirty-passenger +references. The terminal guard is folded into the existing R control on the +valid Algorithm-3 domain, then uncomputed before the next phase; no retained +guard lane is needed. + +Pinned identities: + +- active-window table SHA-256: + `3e1961f5550249604bf044edb65f1d1bc403ed75bd7178e283685ddb4f3cb880` +- generator module SHA-256: + `b00c0801921234a7b7c528988addda914c8b229548959ab5c0d5fd2aeee922be` +- stream generator SHA-256: + `84d0cf74b56e5b4c15b33eead15fe52b18160ee7f36ba4f5fb2cd44e29fb3114` +- schedule certificate SHA-256: + `5ed80df7a2a34abdf7ecc0cf2a3d0245af20fe483ea15ff6ffa53f9d466c06cf` +- aggregate manifest SHA-256: + `67663af3336d5e9fede94cd53f80b0fe74d7ae45810f85a304665a1d82b96c6a` +- independent bit-sliced probe source SHA-256: + `1c85f6d7e6fc223c4f80b8a388df799b8d63830057ba267c23c86d4420e4d492` +- independent probe output SHA-256: + `300526f195abcdd0fdf792289e52e4e147099d38af13acde6a289183175500df` + +## Binary format + +Each zstd file starts with: + +```text +8 bytes magic = P26EEA2\0 +u32 LE field width = 256 +u32 LE local width = 576 +u32 LE first schedule step (inclusive) +u32 LE last schedule step (inclusive) +``` + +The payload is a stream of little-endian `u64` records. Bits `0..3` +encode the primitive kind (`1=X`, `2=CX`, `3=CCX`, +`7=clean-C^3X-MBU`), bits `4..7` encode arity, and five 10-bit local-wire +indices begin at bits 8, 18, 28, 38, and 48. The adjacent JSON file records +per-step counts and the SHA-256 of the uncompressed payload. + +There are 36 chunks. The first 35 contain 45 steps each; the last contains +steps 1576 through 1616. The Rust backend checks contiguous headers and emits +each chunk independently to avoid retaining the decoded stream in memory. + +For resource accounting, one kind-7 record lowers to two CCX, one HMR, and one +conditional CZ operation. Therefore: + +```text +executed T per traversal = ordinary_ccx + 2 * kind7 +emitted ops per traversal = records + 3 * kind7 +``` + +The point-add integration executes four traversals: forward and reverse for +the initial quotient, then forward and reverse for exact quotient cleanup. +The verified aggregate is: + +```text +records per traversal = 97,385,770 +emitted ops per traversal = 97,405,162 +executed T per traversal = 57,629,188 +four-traversal emitted ops = 389,620,648 +four-traversal executed T = 230,516,752 +``` + +## Regeneration + +With Qiskit installed and the pinned upstream checkout available: + +```sh +python generate_eea_blob.py \ + --paper /path/to/pinned-upstream \ + --out chunk-0001-0045.zst \ + --start 1 --end 45 \ + --schedule-end 1616 \ + --module eea_circuit_s835_exactwidth_dirty12 \ + --aux-size 10 --expected-qubits 576 --level 12 +``` + +Repeat for the ranges encoded in `paper2607_eea.rs`. Promotion requires all +chunk hashes, the independent serialized endpoint/reverse probe, exact +count-only composition, and the official 9,024-shot benchmark. diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/UPSTREAM_LICENSE b/src/point_add/trailmix_port/inversion/paper2607_data/UPSTREAM_LICENSE new file mode 100644 index 00000000..183e9461 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/UPSTREAM_LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2026 Zero + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/active_windows_1616.json b/src/point_add/trailmix_port/inversion/paper2607_data/active_windows_1616.json new file mode 100644 index 00000000..d3510310 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/active_windows_1616.json @@ -0,0 +1,91427 @@ +{ + "certificate": { + "path": "certificate.json", + "sha256": "5ed80df7a2a34abdf7ecc0cf2a3d0245af20fe483ea15ff6ffa53f9d466c06cf" + }, + "concrete_paper_counterexamples": [ + { + "block": "r_addsub", + "one_lane_r_repair": [ + 2, + 259 + ], + "one_lane_r_repair_contains_required": true, + "paper": [ + 3, + 259 + ], + "paper_contains_required": false, + "required": [ + 2, + 258 + ], + "step": 1, + "witness": "x_one", + "x_hex": "0x1" + }, + { + "block": "len_update_lrp", + "one_lane_r_repair": null, + "one_lane_r_repair_contains_required": null, + "paper": [ + 2, + 6 + ], + "paper_contains_required": false, + "required": [ + 4, + 259 + ], + "step": 8, + "witness": "half_prime", + "x_hex": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffff7ffffe17" + }, + { + "block": "len_update_lrp", + "one_lane_r_repair": null, + "one_lane_r_repair_contains_required": null, + "paper": [ + 42, + 64 + ], + "paper_contains_required": false, + "required": [ + 40, + 43 + ], + "step": 240, + "witness": "schedule_1500", + "x_hex": "0x5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d8e62784" + }, + { + "block": "r_addsub", + "one_lane_r_repair": [ + 239, + 259 + ], + "one_lane_r_repair_contains_required": false, + "paper": [ + 240, + 259 + ], + "paper_contains_required": false, + "required": [ + 238, + 258 + ], + "step": 1389, + "witness": "schedule_1500", + "x_hex": 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"state": "(K_previous, K_current)", + "transition": "(a,b) -> (b, 2^(w-1)*b+a), cost += w" + }, + "result": { + "all_higher_costs_checked_through": 622, + "first_excluded_minimum_numerator": "141400045334044432873227436339228664120638245875314585521139549463108194794525", + "first_excluded_weighted_cost": 405, + "safe_fixed_schedule_steps": 1616, + "tightness_claim": "safe universal upper bound; exact secp maximum not claimed", + "weighted_cost_upper_bound": 404 + }, + "schema": "luo-algorithm3-fixed-schedule-bound-v1", + "secp_witnesses": [ + { + "algorithm3_steps": 1500, + "quotient_count": 209, + "quotients": [ + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 1, + 2, + 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+ 6, + 1, + 3, + 1, + 3, + 2, + 1, + 2, + 1, + 9, + 1, + 3, + 1, + 7, + 1, + 3, + 1, + 1, + 3, + 1, + 4, + 1, + 1, + 1, + 6, + 1, + 1, + 3, + 1, + 2 + ], + "weighted_cost": 381, + "x_hex": "0x5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef", + "x_used_hex": "0x5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef" + } + ] +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/check_active_windows.py b/src/point_add/trailmix_port/inversion/paper2607_data/check_active_windows.py new file mode 100644 index 00000000..820e0757 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/check_active_windows.py @@ -0,0 +1,97 @@ +#!/usr/bin/env python3 +"""Independent regression checks for the secp256k1 active-window table.""" + +from __future__ import annotations + +import argparse +import hashlib +import json +import random +from pathlib import Path + +import derive_active_windows as derive + + +def contains(window: list[int] | None, required: list[int]) -> bool: + return window is not None and window[0] <= required[0] and window[1] >= required[1] + + +def verify_exact_input(rows: list[dict[str, object]], x: int) -> int: + checked = 0 + for step, required_by_block in derive.exact_trace_requirements(x): + if step > derive.SAFE_STEPS: + raise AssertionError(f"x={hex(x)} exceeds certified schedule at step {step}") + safe = rows[step - 1]["safe"] + for block, required in required_by_block.items(): + if not contains(safe[block], required): + raise AssertionError( + f"x={hex(x)} step={step} block={block} required={required} safe={safe[block]}" + ) + checked += 1 + return checked + + +def main() -> None: + here = Path(__file__).resolve().parent + parser = argparse.ArgumentParser() + parser.add_argument("--table", type=Path, default=here / "active_windows_1616.json") + parser.add_argument("--random-cases", type=int, default=10_000) + args = parser.parse_args() + + encoded = args.table.read_bytes() + table = json.loads(encoded) + if table["schema"] != "luo-secp256k1-active-windows-v2": + raise AssertionError("wrong table schema") + if len(table["rows"]) != derive.SAFE_STEPS: + raise AssertionError("wrong row count") + if table["certificate"]["sha256"] != hashlib.sha256( + (here / "certificate.json").read_bytes() + ).hexdigest(): + raise AssertionError("certificate hash mismatch") + + rebuilt = derive.build_table(here / "certificate.json") + if rebuilt != table: + raise AssertionError("table is not the deterministic derivation output") + + for row in table["rows"]: + if int(row["step"]) < 1 or int(row["step"]) > derive.SAFE_STEPS: + raise AssertionError("bad step index") + for block, window in row["safe"].items(): + if window is None: + continue + maximum = derive.N + 2 if block == "quotient_swap" else derive.WORK_SIZE + if not (1 <= window[0] <= window[1] <= maximum): + raise AssertionError(f"invalid safe window step={row['step']} block={block}: {window}") + + known = [ + 1, + 2, + 3, + derive.P // 2, + int("5DB3D742C265539D92BA16B83C5C1DC492EC1A6629ED23CC63905323D8E62784", 16), + int("5DB3D742C265539D92BA16B83C5C1DC492EC1A6629ED23CC63905323D96EFAEF", 16), + ] + rng = random.Random(0x260713816) + inputs = known + [rng.randrange(1, derive.P // 2 + 1) for _ in range(args.random_cases)] + checks = sum(verify_exact_input(table["rows"], x) for x in inputs) + + counterexamples = table["concrete_paper_counterexamples"] + if len(counterexamples) != 6 or any(row["paper_contains_required"] for row in counterexamples): + raise AssertionError("paper counterexample set changed") + late_r = next(row for row in counterexamples if row["step"] == 1389 and row["block"] == "r_addsub") + if late_r["one_lane_r_repair_contains_required"]: + raise AssertionError("the one-lane R repair unexpectedly covers the exact late witness") + + shift = table["shift_register_requirement"] + if shift["maximum_terminal_padding_steps"] != 592 or shift["required_counter_bits"] != 10: + raise AssertionError("shift-register schedule requirement changed") + + print(f"table_sha256={hashlib.sha256(encoded).hexdigest()}") + print(f"rows={len(table['rows'])}") + print(f"exact_inputs={len(inputs)} exact_window_checks={checks}") + print("paper_counterexamples=6") + print("shift_counter_bits=10 max_padding=592") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/check_aux11_construct.py b/src/point_add/trailmix_port/inversion/paper2607_data/check_aux11_construct.py new file mode 100644 index 00000000..4961fbf4 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/check_aux11_construct.py @@ -0,0 +1,56 @@ +#!/usr/bin/env python3 +"""Construct representative aux11 steps and check their register width.""" + +from __future__ import annotations + +import eea_circuit_s835_exactwidth_dirty12 as candidate + + +def check_alias_guards() -> None: + from qiskit import QuantumCircuit, QuantumRegister + + qubits = QuantumRegister(6, "alias") + circuit = QuantumCircuit(qubits) + try: + candidate._borrowed_c3x( + circuit, qubits[0], qubits[1], qubits[2], qubits[0], qubits[3] + ) + except ValueError: + pass + else: + raise AssertionError("borrowed C3X accepted a logical lane alias") + try: + candidate._mcx_dirty_ladder( + circuit, + [qubits[0], qubits[1], qubits[2]], + qubits[0], + [qubits[3]], + ) + except ValueError: + pass + else: + raise AssertionError("dirty MCX accepted a logical lane alias") + print("PASS logical-Qubit alias guards") + + +def main() -> None: + check_alias_guards() + for step in (1, 4, 6, 401, 1470, 1524, 1616): + circuit = candidate.build_step_circuit( + 256, + step, + T_max=1616, + aux_size=11, + measurement_uncompute=False, + ) + if circuit.num_qubits != 577: + raise AssertionError(f"step={step} width={circuit.num_qubits}") + print( + f"PASS construct step={step} width={circuit.num_qubits} " + f"top_level_ops={len(circuit.data)}", + flush=True, + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/check_fixed_witness.py b/src/point_add/trailmix_port/inversion/paper2607_data/check_fixed_witness.py new file mode 100644 index 00000000..6543258b --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/check_fixed_witness.py @@ -0,0 +1,66 @@ +#!/usr/bin/env python3 +"""Dependency-free checker for an Algorithm-3 fixed-schedule witness.""" + +from __future__ import annotations + +import argparse +import hashlib +import json +from math import gcd +from pathlib import Path + + +P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F + + +def euclid_word(numerator: int, denominator: int) -> list[int]: + result = [] + while denominator: + quotient, remainder = divmod(numerator, denominator) + result.append(quotient) + numerator, denominator = denominator, remainder + return result + + +def continuant(word: list[int]) -> int: + previous, current = 0, 1 + for quotient in word: + assert quotient >= 1 + previous, current = current, quotient * current + previous + return current + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument( + "certificate", + nargs="?", + type=Path, + default=Path(__file__).with_name("counterexample_cost_384.json"), + ) + args = parser.parse_args() + raw = args.certificate.read_bytes() + record = json.loads(raw) + assert record["schema"] == "secp256k1-algorithm3-schedule-counterexample-v1" + assert int(record["p_hex"], 16) == P + x = int(record["x_hex"], 16) + assert int(record["x_decimal"]) == x + assert 1 <= x <= P // 2 and gcd(P, x) == 1 + word = euclid_word(P, x) + assert word == [int(q) for q in record["quotients"]] + assert word[0] >= 2 and word[-1] >= 2 + assert continuant(word) == P + cost = sum(q.bit_length() for q in word) + assert cost == int(record["weighted_cost"]) == 384 + assert len(word) == int(record["quotient_count"]) + assert 4 * cost == int(record["algorithm3_steps"]) == 1536 + assert int(record["disproves_weighted_cost_at_most"]) == 383 + assert int(record["disproves_fixed_steps_at_most"]) == 1532 + print( + f"PASS cost={cost} steps={4 * cost} quotients={len(word)} " + f"sha256={hashlib.sha256(raw).hexdigest()}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/check_q818_tadd_iter_loan.py b/src/point_add/trailmix_port/inversion/paper2607_data/check_q818_tadd_iter_loan.py new file mode 100644 index 00000000..461a61f1 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/check_q818_tadd_iter_loan.py @@ -0,0 +1,82 @@ +#!/usr/bin/env python3 +"""Exhaustive domain proof for the benchmark-qualified Q818 Iter loan.""" + +from __future__ import annotations + +from check_q818_tadd_phase2_loan import inverse as phase2_inverse +from check_q818_tadd_phase2_loan import forward as phase2_forward +from check_q818_tadd_phase2_loan import tadd_boundary_state + + +def canonicalize(phase1: int, l_q: int) -> int: + if phase1 == 0 and l_q in (255, 511): + return 766 - l_q + if phase1 == 1 and l_q in (254, 511): + return 765 - l_q + return l_q + + +def forward( + phase1: int, phase2: int, iteration: int, l_q: int +) -> tuple[int, int, int]: + phase2, l_q = phase2_forward(phase1, phase2, l_q) + l_q = canonicalize(phase1, l_q) + high = ((l_q >> 8) & 1) ^ iteration + l_q = (l_q & 0xFF) | (high << 8) + iteration ^= high + return phase2, iteration, l_q + + +def inverse( + phase1: int, phase2: int, iteration: int, l_q: int +) -> tuple[int, int, int]: + iteration ^= (l_q >> 8) & 1 + high = ((l_q >> 8) & 1) ^ iteration + l_q = (l_q & 0xFF) | (high << 8) + l_q = canonicalize(phase1, l_q) + phase2, l_q = phase2_inverse(phase1, phase2, l_q) + return phase2, iteration, l_q + + +def main() -> None: + checked = 0 + codes: set[tuple[int, int]] = set() + for weight in range(1, 256): + for local_step in range(1, 4 * weight + 1): + _, phase1, phase2, l_q = tadd_boundary_state(weight, local_step) + for iteration in (0, 1): + encoded = forward(phase1, phase2, iteration, l_q) + if encoded[0] != 0 or encoded[1] != 0: + raise AssertionError((weight, local_step, iteration, encoded)) + codes.add((phase1, encoded[2])) + restored = inverse(phase1, *encoded) + if restored != (phase2, iteration, l_q): + raise AssertionError((weight, local_step, iteration, restored)) + checked += 1 + + excluded = [] + weight = 256 + for local_step in range(1, 4 * weight + 1): + phase, phase1, phase2, l_q = tadd_boundary_state(weight, local_step) + for iteration in (0, 1): + encoded = forward(phase1, phase2, iteration, l_q) + if encoded[0] != 0 or encoded[1] != 0: + excluded.append((phase, l_q, iteration)) + if inverse(phase1, *encoded) != (phase2, iteration, l_q): + raise AssertionError(("weight256 reverse", local_step, iteration)) + + if set(excluded) != { + ("B", 255, 0), ("B", 255, 1), + ("C", 254, 0), ("C", 254, 1), + }: + raise AssertionError(excluded) + print( + "PASS q818-tadd-iter-loan " + f"weights=1..255 states={checked} packed_codes={len(codes)} " + "phase2_clean=yes iter_clean=yes inverse=exact " + f"excluded_weight256={excluded}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/check_q818_tadd_phase2_loan.py b/src/point_add/trailmix_port/inversion/paper2607_data/check_q818_tadd_phase2_loan.py new file mode 100644 index 00000000..0af6f95e --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/check_q818_tadd_phase2_loan.py @@ -0,0 +1,61 @@ +#!/usr/bin/env python3 +"""Exhaustive physical-domain proof for the Q818 T-add Phase2 loan.""" + +from __future__ import annotations + + +MAX_WEIGHT = 256 + + +def tadd_boundary_state(weight: int, local_step: int) -> tuple[str, int, int, int]: + if not 1 <= local_step <= 4 * weight: + raise ValueError("microstep outside quotient") + if local_step <= weight: + return "A", 0, 0, 511 + if local_step <= 2 * weight: + return "B", 0, 1, local_step - weight - 1 + if local_step <= 3 * weight: + j = local_step - 2 * weight + return "C", 1, 0, (weight - j - 1) & 511 + return "D", 1, 1, 511 + + +def forward(phase1: int, phase2: int, l_q: int) -> tuple[int, int]: + high = ((l_q >> 8) & 1) ^ (phase1 & phase2) + l_q = (l_q & 0xFF) | (high << 8) + phase2 ^= phase1 & int(l_q == 255) + phase2 ^= (1 ^ phase1) & (1 ^ ((l_q >> 8) & 1)) + return phase2, l_q + + +def inverse(phase1: int, phase2: int, l_q: int) -> tuple[int, int]: + phase2 ^= (1 ^ phase1) & (1 ^ ((l_q >> 8) & 1)) + phase2 ^= phase1 & int(l_q == 255) + high = ((l_q >> 8) & 1) ^ (phase1 & phase2) + l_q = (l_q & 0xFF) | (high << 8) + return phase2, l_q + + +def main() -> None: + checked = 0 + counts = {phase: 0 for phase in "ABCD"} + for weight in range(1, MAX_WEIGHT + 1): + for local_step in range(1, 4 * weight + 1): + phase, phase1, phase2, l_q = tadd_boundary_state(weight, local_step) + counts[phase] += 1 + checked += 1 + encoded_phase2, encoded_l_q = forward(phase1, phase2, l_q) + if encoded_phase2 != 0: + raise AssertionError((weight, local_step, phase, l_q, "not clean")) + restored = inverse(phase1, encoded_phase2, encoded_l_q) + if restored != (phase2, l_q): + raise AssertionError((weight, local_step, phase, l_q, "restore")) + print( + "PASS q818_tadd_phase2_loan " + f"weights=1..{MAX_WEIGHT} states={checked} phase_counts={counts} " + "phase2_clean=yes inverse=exact" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/check_schedule_certificate.py b/src/point_add/trailmix_port/inversion/paper2607_data/check_schedule_certificate.py new file mode 100644 index 00000000..3819ab6a --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/check_schedule_certificate.py @@ -0,0 +1,204 @@ +#!/usr/bin/env python3 +"""Independent checker for the Luo Algorithm-3 secp256k1 schedule proof.""" + +from __future__ import annotations + +import argparse +import hashlib +import json +from pathlib import Path + + +SECP256K1_P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F +EXACT_BOUNDARY_COST = 405 + + +def k_value(word: list[int]) -> int: + left, right = 0, 1 + for digit in word: + assert digit >= 1 + left, right = right, digit * right + left + return right + + +def quotient_word(numerator: int, denominator: int) -> list[int]: + result: list[int] = [] + while denominator != 0: + digit = numerator // denominator + numerator, denominator = denominator, numerator - digit * denominator + result.append(digit) + return result + + +def minimum_for_length(length: int) -> int: + if length == 1: + return 2 + return k_value([2] + [1] * (length - 2) + [2]) + + +def recompute_dp( + top_cost: int, +) -> tuple[list[list[tuple[int, int]]], list[int | None]]: + """Recompute all nondominated continuant states without importing prover.""" + + states: list[list[tuple[int, int]]] = [[] for _ in range(top_cost + 1)] + endpoint_minimum: list[int | None] = [None] * (top_cost + 1) + quotient_width_cap = SECP256K1_P.bit_length() + + for total in range(2, top_cost + 1): + candidates: list[tuple[int, int]] = [] + endpoint_candidates: list[int] = [] + + if total <= quotient_width_cap: + singleton = 2 ** (total - 1) + candidates.append((1, singleton)) + endpoint_candidates.append(singleton) + + for final_width in range(1, min(quotient_width_cap, total - 2) + 1): + smallest_digit = 2 ** (final_width - 1) + for older, newer in states[total - final_width]: + completed = smallest_digit * newer + older + if total > EXACT_BOUNDARY_COST and completed > SECP256K1_P: + continue + candidates.append((newer, completed)) + if final_width >= 2: + endpoint_candidates.append(completed) + + if total <= EXACT_BOUNDARY_COST: + assert endpoint_candidates + endpoint_minimum[total] = ( + min(endpoint_candidates) if endpoint_candidates else None + ) + + candidates.sort() + nondominated: list[tuple[int, int]] = [] + smallest_seen_second: int | None = None + previous_pair: tuple[int, int] | None = None + for pair in candidates: + if pair == previous_pair: + continue + previous_pair = pair + if smallest_seen_second is None or pair[1] < smallest_seen_second: + nondominated.append(pair) + smallest_seen_second = pair[1] + states[total] = nondominated + if total == EXACT_BOUNDARY_COST: + for earlier in range(2, total + 1): + states[earlier] = [ + pair for pair in states[earlier] if pair[1] <= SECP256K1_P + ] + + return states, endpoint_minimum + + +def state_hash(states: list[list[tuple[int, int]]]) -> str: + result = hashlib.sha256() + for cost, row in enumerate(states): + if not row: + continue + result.update((str(cost) + "\n").encode()) + for first, second in row: + result.update((str(first) + "," + str(second) + "\n").encode()) + return result.hexdigest() + + +def check_minimizer(cost: int, record: dict[str, object], expected: int) -> None: + widths = [int(value) for value in record["bit_lengths"]] + digits = [int(value) for value in record["quotients"]] + assert sum(widths) == cost + assert widths[0] >= 2 and widths[-1] >= 2 + assert digits == [2 ** (width - 1) for width in widths] + assert sum(digit.bit_length() for digit in digits) == cost + assert k_value(digits) == expected == int(record["numerator"]) + + +def check_witness(record: dict[str, object]) -> None: + x = int(record["x_hex"], 16) + x_used = min(x, SECP256K1_P - x) + assert 1 <= x_used <= SECP256K1_P // 2 + assert int(record["x_used_hex"], 16) == x_used + digits = quotient_word(SECP256K1_P, x_used) + assert digits == [int(value) for value in record["quotients"]] + assert digits[0] >= 2 and digits[-1] >= 2 + assert k_value(digits) == SECP256K1_P + weighted = sum(digit.bit_length() for digit in digits) + assert weighted == int(record["weighted_cost"]) + assert 4 * weighted == int(record["algorithm3_steps"]) + assert len(digits) == int(record["quotient_count"]) + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument( + "certificate", + nargs="?", + type=Path, + default=Path(__file__).with_name("certificate.json"), + ) + args = parser.parse_args() + certificate = json.loads(args.certificate.read_text(encoding="utf-8")) + + assert certificate["schema"] == "luo-algorithm3-fixed-schedule-bound-v1" + assert int(certificate["p_decimal"]) == SECP256K1_P + assert int(certificate["p_hex"], 16) == SECP256K1_P + + coarse = certificate["coarse_finite_cap"] + length_cap = int(coarse["maximum_quotient_count"]) + assert minimum_for_length(length_cap) <= SECP256K1_P + assert minimum_for_length(length_cap + 1) > SECP256K1_P + assert int(coarse["minimum_numerator_at_cap"]) == minimum_for_length(length_cap) + assert int(coarse["minimum_numerator_at_next_length"]) == minimum_for_length( + length_cap + 1 + ) + + log_product_cap = SECP256K1_P.bit_length() - 1 + assert int(coarse["sum_floor_log2_quotients_cap"]) == log_product_cap + total_cap = length_cap + log_product_cap + assert int(coarse["weighted_cost_cap"]) == total_cap + + states, minima = recompute_dp(total_cap) + encoded_minima = [ + str(minima[cost]) for cost in range(2, EXACT_BOUNDARY_COST + 1) + ] + pareto = certificate["pareto_dp"] + assert encoded_minima == pareto[ + "canonical_minima_decimal_through_first_excluded" + ] + assert [ + minima[cost] is not None and minima[cost] <= SECP256K1_P + for cost in range(2, total_cap + 1) + ] == pareto["canonical_feasible_through_cap"] + assert [len(states[cost]) for cost in range(2, total_cap + 1)] == pareto[ + "frontier_sizes" + ] + assert state_hash(states) == pareto["frontier_sha256"] + + result = certificate["result"] + bound = int(result["weighted_cost_upper_bound"]) + assert minima[bound] is not None and minima[bound] <= SECP256K1_P + assert minima[bound + 1] is not None and minima[bound + 1] > SECP256K1_P + assert all(minima[cost] is None for cost in range(bound + 2, total_cap + 1)) + assert int(result["first_excluded_weighted_cost"]) == bound + 1 + assert int(result["first_excluded_minimum_numerator"]) == minima[bound + 1] + assert int(result["safe_fixed_schedule_steps"]) == 4 * bound + assert int(result["all_higher_costs_checked_through"]) == total_cap + + for text_cost, record in pareto["minimizers"].items(): + cost = int(text_cost) + assert minima[cost] is not None + check_minimizer(cost, record, minima[cost]) + for witness in certificate["secp_witnesses"]: + check_witness(witness) + + largest_witness = max( + int(witness["algorithm3_steps"]) for witness in certificate["secp_witnesses"] + ) + print( + f"PASS p={hex(SECP256K1_P)} weighted_cost<={bound} " + f"fixed_steps<={4 * bound} largest_witness={largest_witness}" + ) + print(f"checked_costs=2..{total_cap} frontier_sha256={state_hash(states)}") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/chunk-0001-0045.zst b/src/point_add/trailmix_port/inversion/paper2607_data/chunk-0001-0045.zst new file mode 100644 index 00000000..9b361cd3 Binary files /dev/null and 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It uses the certified +weighted quotient-cost bound, continuant lower bounds, and the exact four-phase +layout of Algorithm 3. No sampled input is used to construct a window. +""" + +from __future__ import annotations + +import argparse +import csv +import hashlib +import json +import math +from pathlib import Path + + +P = 2**256 - 2**32 - 977 +N = 256 +WORK_SIZE = N + 3 +MAX_WEIGHTED_COST = 404 +SAFE_STEPS = 4 * MAX_WEIGHTED_COST +MAX_QUOTIENT_WEIGHT = P.bit_length() +C_EEA = 1.0 / math.log2((math.sqrt(5.0) + 1.0) / 2.0) + + +def fibonacci_table(limit: int) -> list[int]: + values = [0, 1] + while len(values) <= limit: + values.append(values[-1] + values[-2]) + return values + + +FIBONACCI = fibonacci_table(MAX_WEIGHTED_COST + 3) + + +def prefix_continuant_lower(cost: int) -> int | None: + """Lower-bound a prefix continuant with weighted cost ``cost``. + + A nonempty Euclidean prefix has quotient weights w_0 >= 2 and w_i >= 1, + sum(w_i)=cost. For a prefix of m quotients, + + K >= product(q_i) >= 2**(cost-m) + K >= continuant(2,1,...,1) = Fibonacci[m+2]. + + Taking the minimum over every possible m preserves a universal lower + bound. Cost zero denotes the initial coefficient 1; cost one is + impossible because the first quotient is at least two. + """ + if cost == 0: + return 1 + if cost < 2: + return None + return min( + max(1 << (cost - count), FIBONACCI[count + 2]) + for count in range(1, cost) + ) + + +PREFIX_LOWER = [prefix_continuant_lower(cost) for cost in range(MAX_WEIGHTED_COST + 1)] + + +def prefix_length_bounds(cost: int, current_weight: int) -> tuple[int, int] | None: + """Bound bit_length(t) before a current quotient of given weight. + + The lower edge comes from ``prefix_continuant_lower``. The upper edge uses + both K_prefix < 2**cost and q*K_prefix < p for the current quotient. + Returning None proves that this relaxed prefix/current pair is impossible. + """ + lower_value = PREFIX_LOWER[cost] + if lower_value is None: + return None + q_min = 1 << (current_weight - 1) + if q_min * lower_value >= P: + return None + if cost == 0: + return (1, 1) + upper_value = min((1 << cost) - 1, (P - 1) // q_min) + if upper_value < lower_value: + return None + return lower_value.bit_length(), upper_value.bit_length() + + +def feasible_weight_interval(prefix_cost: int, local_step: int) -> tuple[int, int] | None: + """Return the contiguous relaxed interval of possible current weights.""" + lower_value = PREFIX_LOWER[prefix_cost] + if lower_value is None: + return None + minimum_weight = max(1, (local_step + 3) // 4) + if prefix_cost == 0: + minimum_weight = max(2, minimum_weight) + quotient_room = (P - 1) // lower_value + maximum_by_product = quotient_room.bit_length() + maximum_weight = min( + MAX_QUOTIENT_WEIGHT, + MAX_WEIGHTED_COST - prefix_cost, + maximum_by_product, + ) + if minimum_weight > maximum_weight: + return None + return minimum_weight, maximum_weight + + +def phase_features(weight: int, local_step: int) -> dict[str, int | str]: + """Return exact logical endpoints used by one Algorithm-3 microstep.""" + if not 1 <= local_step <= 4 * weight: + raise ValueError("local step outside current quotient") + if local_step <= weight: + # Phase A. Pre-shift has already incremented l_s. + return {"phase": "A", "l_q": 0, "l_s_r": local_step} + if local_step <= 2 * weight: + # Phase B. R arithmetic and quotient swap precede l_q += 1. + j = local_step - weight + return {"phase": "B", "l_q": j - 1, "l_s_r": weight - j, "swap_q": j - 1} + if local_step <= 3 * weight: + # Phase C. Quotient swap precedes l_q -= 1; T arithmetic follows it. + j = local_step - 2 * weight + return {"phase": "C", "swap_q": weight - j + 1, "l_s_t": j - 1} + # Phase D. T arithmetic precedes the post-shift decrement. + j = local_step - 3 * weight + return {"phase": "D", "l_s_t": weight - j + 1} + + +def envelope(values: list[tuple[int, int]]) -> list[int] | None: + if not values: + return None + return [min(lo for lo, _ in values), max(hi for _, hi in values)] + + +def arithmetic_windows(step: int) -> tuple[dict[str, list[int] | None], dict[str, int]]: + r_ranges: list[tuple[int, int]] = [] + swap_ranges: list[tuple[int, int]] = [] + t_ranges: list[tuple[int, int]] = [] + candidates = 0 + phase_counts = {phase: 0 for phase in "ABCD"} + + def intersect(lo: int, hi: int, phase_lo: int, phase_hi: int) -> tuple[int, int] | None: + lo = max(lo, phase_lo) + hi = min(hi, phase_hi) + return (lo, hi) if lo <= hi else None + + for prefix_cost in range(0, min(MAX_WEIGHTED_COST - 1, (step - 1) // 4) + 1): + if prefix_cost == 1: + continue + local_step = step - 4 * prefix_cost + interval = feasible_weight_interval(prefix_cost, local_step) + if interval is None: + continue + weight_lo, weight_hi = interval + ell_t_min = PREFIX_LOWER[prefix_cost].bit_length() + + # A: 1 <= o <= w. + phase_range = intersect(weight_lo, weight_hi, local_step, MAX_QUOTIENT_WEIGHT) + if phase_range is not None: + lo, hi = phase_range + count = hi - lo + 1 + candidates += count + phase_counts["A"] += count + r_ranges.append((ell_t_min + 1, WORK_SIZE - local_step)) + + # B: w < o <= 2w. + phase_range = intersect( + weight_lo, weight_hi, (local_step + 1) // 2, local_step - 1 + ) + if phase_range is not None: + lo, hi = phase_range + count = hi - lo + 1 + candidates += count + phase_counts["B"] += count + # j=o-w. Both required edges decrease as w increases. + r_ranges.append((ell_t_min + local_step - hi, WORK_SIZE + local_step - 2 * lo)) + ell_t_max = prefix_length_bounds(prefix_cost, lo)[1] + swap_ranges.append( + ( + ell_t_min + local_step - hi, + min(N + 2, ell_t_max + local_step - lo), + ) + ) + + # C: 2w < o <= 3w. + phase_range = intersect( + weight_lo, + weight_hi, + (local_step + 2) // 3, + (local_step - 1) // 2, + ) + if phase_range is not None: + lo, hi = phase_range + count = hi - lo + 1 + candidates += count + phase_counts["C"] += count + ell_t_max_hi = prefix_length_bounds(prefix_cost, hi)[1] + ell_t_max_lo = prefix_length_bounds(prefix_cost, lo)[1] + # J=ell_t+3w-o+2. The lower edge grows with w. The upper + # edge also grows: increasing w adds three while ell_t_max can + # fall by at most one. + swap_ranges.append( + ( + ell_t_min + 3 * lo - local_step + 2, + min(N + 2, ell_t_max_hi + 3 * hi - local_step + 2), + ) + ) + t_ranges.append((1, min(N + 1, ell_t_max_lo + 1))) + + # D: 3w < o <= 4w. + phase_range = intersect( + weight_lo, + weight_hi, + (local_step + 3) // 4, + (local_step - 1) // 3, + ) + if phase_range is not None: + lo, hi = phase_range + count = hi - lo + 1 + candidates += count + phase_counts["D"] += count + ell_t_max = prefix_length_bounds(prefix_cost, lo)[1] + t_ranges.append((1, min(N + 1, ell_t_max + 1))) + + return { + "r_addsub": envelope(r_ranges), + "quotient_swap": envelope(swap_ranges), + "t_addsub": envelope(t_ranges), + }, {"relaxed_candidates": candidates, **{f"phase_{k}": v for k, v in phase_counts.items()}} + + +def relaxed_prefix_states_at_cost(cost: int) -> bool: + return 2 <= cost <= MAX_WEIGHTED_COST and PREFIX_LOWER[cost] is not None and PREFIX_LOWER[cost] <= P + + +def length_windows(step: int) -> dict[str, list[int] | None]: + if step % 4: + return {"len_update_lt": None, "len_update_lrp": None} + cost = step // 4 + if not relaxed_prefix_states_at_cost(cost): + return {"len_update_lt": None, "len_update_lrp": None} + + # Before the last quotient, at least max(0,cost-256) weighted cost has + # already been consumed. Scan down to the smallest possible prior + # coefficient length and up through the largest possible new coefficient. + prior_cost_floor = max(0, cost - MAX_QUOTIENT_WEIGHT) + possible_prior_lengths = [ + PREFIX_LOWER[c].bit_length() + for c in range(prior_cost_floor, cost) + if PREFIX_LOWER[c] is not None + ] + k_lt = min(possible_prior_lengths) + K_lt = min(N, cost) + + # highest_position_xor_write scans a dynamic boundary label as well as + # the nonzero coefficient lanes. If (t,t_next) is the coefficient pair + # after weighted prefix cost c, induction on the quotient bit lengths + # gives t+t_next <= 2**c. The Euclidean invariant + # + # p = r*t_next + r_next*t < r*(t_next+t) + # + # therefore gives r > p/2**c. The prepared decoder label is + # B = n+3-bit_length(r), so this exact integer lower bound on r supplies + # a universal upper bound on B. Omitting B is unsound even when every + # nonzero coefficient lane itself lies inside the scan window. + minimum_current_remainder = (P >> cost) + 1 + maximum_boundary_b = N + 3 - minimum_current_remainder.bit_length() + K_lt = max(K_lt, maximum_boundary_b) + + # After this boundary at most 404-cost quotient-weight units remain. A + # suffix continuant of cost d is <2**d; the terminal old remainder is 1. + remaining_cost = MAX_WEIGHTED_COST - cost + maximum_remainder_length = max(1, min(N, remaining_cost)) + data_k_lrp = N + 4 - maximum_remainder_length + + # right_length_xor_write also requires the prepared decoder endpoint + # A=bit_length(t_next)+2 to occur in the scan. A suffix of weighted cost + # d has continuant r < 2**d (and r=1 for an empty suffix). Combining + # p < 2*r*t_next with x<=p/2 gives the conservative lower bound below. + # Taking the minimum with the data-lane bound covers both obligations. + if remaining_cost == 0: + maximum_current_remainder = 1 + else: + maximum_current_remainder = min(P // 2, (1 << min(N, remaining_cost)) - 1) + minimum_next_coefficient = P // (2 * maximum_current_remainder) + 1 + minimum_boundary_a = max(4, minimum_next_coefficient.bit_length() + 2) + k_lrp = min(data_k_lrp, minimum_boundary_a) + return { + "len_update_lt": [k_lt, K_lt], + "len_update_lrp": [k_lrp, WORK_SIZE], + } + + +def ceil_safe(value: float, eps: float = 1e-12) -> int: + return math.ceil(value - eps) + + +def floor_safe(value: float, eps: float = 1e-12) -> int: + return math.floor(value + eps) + + +def paper_windows(step: int) -> dict[str, list[int]]: + k1 = max(ceil_safe((step - (N + 2)) / (4.0 * C_EEA - 1.0)), 1) + 2 + k2 = max(ceil_safe((step - 3.0 * (N + 2)) / (4.0 * C_EEA - 3.0)), 1) + 1 + K2 = min(floor_safe(step / 2.0) + 2, N + 2) + K3 = min(ceil_safe(step / 4.0) + 1, N + 1) + k4 = max(ceil_safe((step - 4.0 * (N + 2)) / (4.0 * C_EEA - 4.0)), 1) + K4 = min(floor_safe(step / 4.0 + 3.0), N + 3) + k5 = ceil_safe(step / (4.0 * C_EEA)) + K5 = min(floor_safe(step / 4.0 + 4.0), N + 3) + return { + "r_addsub": [k1, N + 3], + "quotient_swap": [k2, K2], + "t_addsub": [1, K3], + "len_update_lt": [k4, K4], + "len_update_lrp": [k5, K5], + } + + +def contains(outer: list[int], inner: list[int] | None) -> bool: + return inner is None or (outer[0] <= inner[0] and outer[1] >= inner[1]) + + +def exact_trace_requirements(x: int): + """Yield exact required ranges for one secp input without using sampling.""" + r_previous, r = P, x + t_previous, t = 0, 1 + prefix_cost = 0 + while r: + quotient, r_next = divmod(r_previous, r) + weight = quotient.bit_length() + ell_t = t.bit_length() + t_next = t_previous + quotient * t + for local_step in range(1, 4 * weight + 1): + step = 4 * prefix_cost + local_step + features = phase_features(weight, local_step) + phase = str(features["phase"]) + required: dict[str, list[int]] = {} + if phase in "AB": + ell_q = int(features["l_q"]) + ell_s = int(features["l_s_r"]) + required["r_addsub"] = [ell_t + ell_q + 1, WORK_SIZE - ell_s] + if phase in "BC": + selector = ell_t + int(features["swap_q"]) + 1 + required["quotient_swap"] = [selector, selector] + if phase in "CD": + required["t_addsub"] = [1, ell_t + 1] + yield step, required + + boundary = 4 * (prefix_cost + weight) + # The length decoders need their dynamic boundary labels to occur in + # the scanned interval; covering only nonzero Work positions is not + # sufficient for range_scan_leq/range_scan_geq to toggle correctly. + boundary_b = N + 3 - r.bit_length() + coefficient_positions = [t.bit_length(), t_next.bit_length(), boundary_b] + remainder_positions = [N + 4 - r.bit_length()] + if r_next: + remainder_positions.append(N + 4 - r_next.bit_length()) + boundary_a = t_next.bit_length() + 2 + remainder_positions.append(boundary_a) + yield boundary, { + "len_update_lt": [min(coefficient_positions), max(coefficient_positions)], + "len_update_lrp": [min(remainder_positions), max(remainder_positions)], + } + r_previous, r = r, r_next + t_previous, t = t, t_next + prefix_cost += weight + + +def concrete_paper_counterexamples() -> list[dict[str, object]]: + witnesses = { + "x_one": 1, + "half_prime": P // 2, + "schedule_1500": int( + "5DB3D742C265539D92BA16B83C5C1DC492EC1A6629ED23CC63905323D8E62784", 16 + ), + "schedule_1524": int( + "5DB3D742C265539D92BA16B83C5C1DC492EC1A6629ED23CC63905323D96EFAEF", 16 + ), + } + wanted = { + ("x_one", 1, "r_addsub"), + ("half_prime", 8, "len_update_lrp"), + ("schedule_1500", 240, "len_update_lrp"), + ("schedule_1500", 1389, "r_addsub"), + ("schedule_1500", 1470, "quotient_swap"), + ("schedule_1524", 1472, "len_update_lt"), + } + found: list[dict[str, object]] = [] + for name, x in witnesses.items(): + for step, required_by_block in exact_trace_requirements(x): + if step > 1476: + continue + paper = paper_windows(step) + for block, required in required_by_block.items(): + key = (name, step, block) + if key not in wanted: + continue + raw = paper[block] + repaired = [max(1, raw[0] - 1), raw[1]] if block == "r_addsub" else raw + found.append({ + "witness": name, + "x_hex": hex(x), + "step": step, + "block": block, + "required": required, + "paper": raw, + "paper_contains_required": contains(raw, required), + "one_lane_r_repair": repaired if block == "r_addsub" else None, + "one_lane_r_repair_contains_required": contains(repaired, required) if block == "r_addsub" else None, + }) + if len(found) != len(wanted): + missing = sorted(wanted - {(r["witness"], r["step"], r["block"]) for r in found}) + raise AssertionError(f"missing concrete paper counterexamples: {missing}") + return sorted(found, key=lambda row: (int(row["step"]), str(row["block"]))) + + +def build_table(certificate_path: Path) -> dict[str, object]: + certificate_bytes = certificate_path.read_bytes() + certificate = json.loads(certificate_bytes) + result = certificate["result"] + if int(result["weighted_cost_upper_bound"]) != MAX_WEIGHTED_COST: + raise AssertionError("certificate weighted-cost bound changed") + if int(result["safe_fixed_schedule_steps"]) != SAFE_STEPS: + raise AssertionError("certificate fixed schedule changed") + if int(certificate["p_decimal"]) != P: + raise AssertionError("certificate field prime changed") + + rows = [] + paper_first_empty: dict[str, int] = {} + for step in range(1, SAFE_STEPS + 1): + arithmetic, counts = arithmetic_windows(step) + safe = {**arithmetic, **length_windows(step)} + paper = paper_windows(step) + for block, window in paper.items(): + if window[0] > window[1] and block not in paper_first_empty: + paper_first_empty[block] = step + rows.append({ + "step": step, + "safe": safe, + "paper": paper, + "paper_contains_proved_envelope": { + block: contains(paper[block], safe[block]) for block in safe + }, + "proof_state_counts": counts, + }) + + return { + "schema": "luo-secp256k1-active-windows-v2", + "field": "secp256k1", + "p_hex": hex(P), + "n": N, + "work_size": WORK_SIZE, + "weighted_cost_bound": MAX_WEIGHTED_COST, + "fixed_schedule_steps": SAFE_STEPS, + "shift_register_requirement": { + "minimum_exact_steps": 1024, + "minimum_exact_steps_reason": "continuant p is below 2^sum_weights, so sum_weights>=256; x=1 attains 256", + "maximum_terminal_padding_steps": SAFE_STEPS - 1024, + "maximum_terminal_padding_witness_x": "0x1", + "required_counter_bits": (SAFE_STEPS - 1024).bit_length(), + "warning": "the existing 9-bit l_s wraps after 511 and cannot canonicalize 592 physical rotations modulo 259", + }, + "certificate": { + "path": certificate_path.name, + "sha256": hashlib.sha256(certificate_bytes).hexdigest(), + }, + "semantics": { + "ranges": "inclusive 1-based physical Work labels; null means block is unreachable at that step", + "r_addsub": "[min(L-1),max(R)], L=ell_t+ell_q+2, R=n+3-ell_s after pre-shift", + "quotient_swap": "selector J=ell_t+ell_q+1; gate additionally exposes Work[J+1]", + "t_addsub": "[1,max(ell_t+1)]", + "len_update_lt": "covers both coefficient fields and decoder label B=n+3-bit_length(r) at an iteration boundary", + "len_update_lrp": "covers both remainder fields and decoder label A=bit_length(t_next)+2 at an iteration boundary", + }, + "proof_relaxations": [ + "every canonical quotient word with continuant p has weighted cost at most 404", + "prefix K >= max(2^(cost-count), Fibonacci[count+2])", + "prefix K < 2^cost and 2^(current_weight-1)*K < p", + "suffix continuant of remaining weighted cost d is below 2^d", + "prefix coefficient sum t+t_next is at most 2^cost, hence B is explicitly bounded", + "p < 2*r*t_next and the suffix bound give an explicit lower bound on decoder label A", + "all relaxed prefix lengths, current quotient weights, and four phase positions are enumerated", + ], + "paper_first_empty_step": paper_first_empty, + "concrete_paper_counterexamples": concrete_paper_counterexamples(), + "rows": rows, + } + + +def main() -> None: + here = Path(__file__).resolve().parent + parser = argparse.ArgumentParser() + parser.add_argument("--certificate", type=Path, default=here / "certificate.json") + parser.add_argument("--out", type=Path, default=here / "active_windows_1616.json") + parser.add_argument("--tail-csv", type=Path, default=here / "active_windows_1477_1616.csv") + args = parser.parse_args() + table = build_table(args.certificate) + encoded = json.dumps(table, indent=2, sort_keys=True) + "\n" + args.out.write_text(encoded, encoding="utf-8") + with args.tail_csv.open("w", encoding="utf-8", newline="") as handle: + writer = csv.writer(handle) + blocks = ["r_addsub", "quotient_swap", "t_addsub", "len_update_lt", "len_update_lrp"] + writer.writerow(["step", *[f"{block}_lo" for block in blocks], *[f"{block}_hi" for block in blocks]]) + for row in table["rows"][1476:]: + safe = row["safe"] + writer.writerow( + [row["step"]] + + [(safe[block][0] if safe[block] is not None else "") for block in blocks] + + [(safe[block][1] if safe[block] is not None else "") for block in blocks] + ) + print(f"wrote={args.out}") + print(f"sha256={hashlib.sha256(encoded.encode()).hexdigest()}") + print(f"tail_csv={args.tail_csv}") + print(f"rows={len(table['rows'])}") + print(f"paper_first_empty_step={table['paper_first_empty_step']}") + for row in table["concrete_paper_counterexamples"]: + print( + f"counterexample step={row['step']} block={row['block']} " + f"required={row['required']} paper={row['paper']} x={row['x_hex']}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/eea_circuit_s835_exactwidth_dirty12.py b/src/point_add/trailmix_port/inversion/paper2607_data/eea_circuit_s835_exactwidth_dirty12.py new file mode 100644 index 00000000..b20f57da --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/eea_circuit_s835_exactwidth_dirty12.py @@ -0,0 +1,7494 @@ +import hashlib +import json +from functools import lru_cache +from pathlib import Path +from typing import Literal, Optional, Sequence + +from qiskit import QuantumCircuit, QuantumRegister +from qiskit.circuit import Gate, Qubit + +import eea_circuit_updated as _e + +C_EEA = _e.C_EEA +N_CONFIG = _e.N_CONFIG +paper_len_width = _e.paper_len_width +paper_shift_width = _e.paper_shift_width +Nmax_steps = _e.Nmax_steps +active_windows = _e.active_windows +get_n_config = getattr(_e, "get_n_config") +set_measurement_uncompute = _e.set_measurement_uncompute +count_circuit_ops_recursive = getattr(_e, "count_circuit_ops_recursive", None) + +_CERTIFIED_WINDOW_SHA256 = "3e1961f5550249604bf044edb65f1d1bc403ed75bd7178e283685ddb4f3cb880" +_CERTIFIED_WINDOW_PATH = Path(__file__).with_name("active_windows_1616.json") +_certified_window_bytes = _CERTIFIED_WINDOW_PATH.read_bytes() +_certified_window_canonical = _certified_window_bytes.replace(b"\r\n", b"\n") +if hashlib.sha256(_certified_window_canonical).hexdigest() != _CERTIFIED_WINDOW_SHA256: + raise RuntimeError("secp256k1 active-window certificate hash mismatch") +_certified_window_table = json.loads(_certified_window_bytes) +if ( + _certified_window_table.get("schema") != "luo-secp256k1-active-windows-v2" + or len(_certified_window_table.get("rows", ())) != 1616 +): + raise RuntimeError("invalid secp256k1 active-window certificate") +_CERTIFIED_WINDOW_ROWS = tuple(row["safe"] for row in _certified_window_table["rows"]) + +LT_WIDTH = 8 +LQ_WIDTH = 9 +LS_WIDTH = 9 +LRP_WIDTH = 8 +LS_MODULUS = 259 +LS_ZERO = LS_MODULUS - 1 +LRP_ZERO = (1 << LRP_WIDTH) - 1 +CLEAN_AUX_SIZE = 2 +DIRTY_PASSENGER_SIZE = 10 + + +def __getattr__(name: str): + return getattr(_e, name) + + +def _tight_unary_depth_for_labels(labels: Sequence[int]) -> int: + labels = sorted(set(labels)) + if len(labels) <= 1: + return 0 + bit = _e._split_bit(labels) + z = [x for x in labels if ((x >> bit) & 1) == 0] + o = [x for x in labels if ((x >> bit) & 1) == 1] + return 1 + max(_tight_unary_depth_for_labels(z), _tight_unary_depth_for_labels(o)) + + +def unary_iteration_tight(qc: QuantumCircuit, *, index_reg: Sequence[Qubit], labels: Sequence[int], + ctrl: Qubit, ancillas: Sequence[Qubit], leaf_fn, order: Literal["inc", "dec"] = "inc") -> None: + labels = sorted(set(labels)) + if not labels: + return + need = _tight_unary_depth_for_labels(labels) + if len(ancillas) < need: + raise ValueError(f"tight unary iteration needs {need} ancillas, got {len(ancillas)}") + def rec(sub_labels, g, depth): + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], g); return + b = _e._split_bit(sub_labels) + z = [x for x in sub_labels if ((x >> b) & 1) == 0] + o = [x for x in sub_labels if ((x >> b) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[b], h, 0) + if order == "inc": + rec(z, h, depth+1) + qc.cx(g, h) + rec(o, h, depth+1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(o, h, depth+1) + qc.cx(g, h) + rec(z, h, depth+1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[b], h, 0) + rec(labels, ctrl, 0) + + +def unary_range_iteration_direct_leaf( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", + toggle_before_leaf: bool, + before_toggle_fn=None, + after_toggle_fn=None, +) -> None: + """Range scan with the final decoder bit applied directly to the accumulator. + + A conventional unary tree materializes every equality into a clean lane. + At a two-label leaf, this variant instead toggles ``range_acc`` directly + from the parent path and the distinguishing index bit. It therefore uses + one fewer clean path lane without increasing the decoder Toffoli count. + """ + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 1) + if len(ancillas) < need: + raise ValueError( + f"direct-leaf range iteration needs {need} ancillas, got {len(ancillas)}" + ) + + def visit(label: int, equality_toggle) -> None: + if toggle_before_leaf: + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + equality_toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + leaf_fn(label, range_acc) + else: + leaf_fn(label, range_acc) + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + equality_toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + + def rec(sub_labels, g, depth): + if len(sub_labels) == 1: + visit(sub_labels[0], lambda: qc.cx(g, range_acc)) + return + bit = _e._split_bit(sub_labels) + zero = [x for x in sub_labels if ((x >> bit) & 1) == 0] + one = [x for x in sub_labels if ((x >> bit) & 1) == 1] + if len(sub_labels) == 2: + low, high = sorted(sub_labels) + + def toggle(label: int) -> None: + if ((label >> bit) & 1) == 0: + qc.x(index_reg[bit]) + qc.ccx(g, index_reg[bit], range_acc) + if ((label >> bit) & 1) == 0: + qc.x(index_reg[bit]) + + branch_order = [low, high] if order == "inc" else [high, low] + for label in branch_order: + visit(label, lambda label=label: toggle(label)) + return + + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_range_iteration_dirty_quartet( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + borrowed: Qubit, + leaf_fn, + order: Literal["inc", "dec"] = "inc", + toggle_before_leaf: bool, + before_toggle_fn=None, + after_toggle_fn=None, +) -> None: + """Range scan with the final two decoder levels applied as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 2) + if len(ancillas) < need: + raise ValueError( + f"dirty-quartet range iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + + def visit(label: int, controls: Sequence[Qubit]) -> None: + def toggle() -> None: + _toggle_raw_controls_dirty( + qc, controls, range_acc, [borrowed] + ) + + if toggle_before_leaf: + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + leaf_fn(label, range_acc) + else: + leaf_fn(label, range_acc) + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 2: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_range_iteration_dirty_octet( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", + toggle_before_leaf: bool, + before_toggle_fn=None, + after_toggle_fn=None, + equality_guards: Sequence[Qubit] = (), +) -> None: + """Range scan with the final three decoder levels as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 3) + if len(ancillas) < need: + raise ValueError( + f"dirty-octet range iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + if len(borrowed) < 2: + raise ValueError("dirty-octet range iteration needs two lenders") + + def visit(label: int, controls: Sequence[Qubit]) -> None: + def toggle() -> None: + _toggle_raw_controls_dirty( + qc, list(controls) + list(equality_guards), + range_acc, borrowed, + ) + + if toggle_before_leaf: + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + leaf_fn(label, range_acc) + else: + leaf_fn(label, range_acc) + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 3: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + + +def unary_range_iteration_dirty_hexadecet( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", + toggle_before_leaf: bool, + before_toggle_fn=None, + after_toggle_fn=None, +) -> None: + """Range scan with the final four decoder levels as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 4) + if len(ancillas) < need: + raise ValueError( + f"dirty-hexadecet range iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + if len(borrowed) < 3: + raise ValueError("dirty-hexadecet range iteration needs three lenders") + + def visit(label: int, controls: Sequence[Qubit]) -> None: + def toggle() -> None: + _toggle_raw_controls_dirty(qc, controls, range_acc, borrowed) + if toggle_before_leaf: + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + leaf_fn(label, range_acc) + else: + leaf_fn(label, range_acc) + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 4: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_range_iteration_dirty_32raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", + toggle_before_leaf: bool, + before_toggle_fn=None, + after_toggle_fn=None, + conditional_clean_helper: Optional[Qubit] = None, +) -> None: + """Range scan with the final five decoder levels as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 5) + if len(ancillas) < need: + raise ValueError( + f"dirty-32raw range iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + if len(borrowed) < 4: + raise ValueError("dirty-32raw range iteration needs four lenders") + + def visit(label: int, controls: Sequence[Qubit]) -> None: + def toggle() -> None: + if ( + conditional_clean_helper is not None + and conditional_clean_helper not in controls + and len(controls) >= 4 + ): + # The materialized path control implies the original block + # control. Temporarily inverting that control therefore gives + # the one-clean ladder a zero helper on every live path while + # leaving inactive paths exactly palindromic. + qc.x(conditional_clean_helper) + _toggle_raw_controls_conditionally_clean( + qc, controls, range_acc, borrowed, + conditional_clean_helper, + ) + qc.x(conditional_clean_helper) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, borrowed) + + if toggle_before_leaf: + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + leaf_fn(label, range_acc) + else: + leaf_fn(label, range_acc) + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 5: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_range_iteration_dirty_64raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", + toggle_before_leaf: bool, + before_toggle_fn=None, + after_toggle_fn=None, + conditional_clean_helper: Optional[Qubit] = None, +) -> None: + """Range scan with the final six decoder levels as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 6) + if len(ancillas) < need: + raise ValueError( + f"dirty-64raw range iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + if len(borrowed) < 5: + raise ValueError("dirty-64raw range iteration needs five lenders") + + def visit(label: int, controls: Sequence[Qubit]) -> None: + def toggle() -> None: + if ( + conditional_clean_helper is not None + and conditional_clean_helper not in controls + and len(controls) >= 4 + ): + qc.x(conditional_clean_helper) + _toggle_raw_controls_conditionally_clean( + qc, controls, range_acc, borrowed, + conditional_clean_helper, + ) + qc.x(conditional_clean_helper) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, borrowed) + if toggle_before_leaf: + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + leaf_fn(label, range_acc) + else: + leaf_fn(label, range_acc) + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 6: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_iteration_dirty_quartet_raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Unary iteration exposing the final equality as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 2) + if len(ancillas) < need: + raise ValueError( + f"raw dirty-quartet iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 2: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_iteration_dirty_octet_raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Unary iteration exposing the final three index bits as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 3) + if len(ancillas) < need: + raise ValueError( + f"raw dirty-octet iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 3: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_iteration_dirty_hexadecet_raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Unary iteration exposing the final four index bits as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 4) + if len(ancillas) < need: + raise ValueError( + f"raw dirty-hexadecet iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 4: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_iteration_dirty_32raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Unary iteration exposing the final five index bits as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 5) + if len(ancillas) < need: + raise ValueError( + f"raw dirty-32 iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 5: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_range_iteration_dirty_128raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", + toggle_before_leaf: bool, + before_toggle_fn=None, + after_toggle_fn=None, + conditional_clean_helper: Optional[Qubit] = None, +) -> None: + """Range scan with the final seven decoder levels as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 7) + if len(ancillas) < need: + raise ValueError( + f"dirty-128raw range iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + if len(borrowed) < 6: + raise ValueError("dirty-128raw range iteration needs six lenders") + + def visit(label: int, controls: Sequence[Qubit]) -> None: + def toggle() -> None: + if ( + conditional_clean_helper is not None + and conditional_clean_helper not in controls + and len(controls) >= 4 + ): + qc.x(conditional_clean_helper) + _toggle_raw_controls_conditionally_clean( + qc, controls, range_acc, borrowed, + conditional_clean_helper, + ) + qc.x(conditional_clean_helper) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, borrowed) + if toggle_before_leaf: + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + leaf_fn(label, range_acc) + else: + leaf_fn(label, range_acc) + if before_toggle_fn is not None: + before_toggle_fn(label, range_acc) + toggle() + if after_toggle_fn is not None: + after_toggle_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 7: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_iteration_dirty_64raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Unary iteration exposing the final six index bits as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 6) + if len(ancillas) < need: + raise ValueError( + f"raw dirty-64 iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 6: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def unary_iteration_dirty_128raw( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + labels: Sequence[int], + ctrl: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Unary iteration exposing the final seven index bits as raw controls.""" + labels = sorted(set(labels)) + if not labels: + return + need = max(0, _tight_unary_depth_for_labels(labels) - 7) + if len(ancillas) < need: + raise ValueError( + f"raw dirty-128 iteration needs {need} ancillas, " + f"got {len(ancillas)}" + ) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 7: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + rec(labels, ctrl, 0) + + +def dual_unary_iteration_tight(qc: QuantumCircuit, *, index_a: Sequence[Qubit], index_b: Sequence[Qubit], labels: Sequence[int], + ctrl_a: Qubit, ctrl_b: Qubit, ancillas_a: Sequence[Qubit], ancillas_b: Sequence[Qubit], + leaf_fn, order: Literal["inc", "dec"] = "inc") -> None: + labels = sorted(set(labels)) + if not labels: + return + need = _tight_unary_depth_for_labels(labels) + if len(ancillas_a) < need or len(ancillas_b) < need: + raise ValueError(f"tight dual unary iteration needs {need} ancillas per endpoint") + def rec(sub_labels, ga, gb, depth): + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], ga, gb); return + bit = _e._split_bit(sub_labels) + z = [x for x in sub_labels if ((x >> bit) & 1) == 0] + o = [x for x in sub_labels if ((x >> bit) & 1) == 1] + ha = ancillas_a[depth]; hb = ancillas_b[depth] + _e._and_with_index_bit(qc, ga, index_a[bit], ha, 0) + _e._and_with_index_bit(qc, gb, index_b[bit], hb, 0) + if order == "inc": + rec(z, ha, hb, depth+1) + qc.cx(ga, ha); qc.cx(gb, hb) + rec(o, ha, hb, depth+1) + qc.cx(gb, hb); qc.cx(ga, ha) + else: + qc.cx(ga, ha); qc.cx(gb, hb) + rec(o, ha, hb, depth+1) + qc.cx(gb, hb); qc.cx(ga, ha) + rec(z, ha, hb, depth+1) + _e._uncompute_and_with_index_bit(qc, gb, index_b[bit], hb, 0) + _e._uncompute_and_with_index_bit(qc, ga, index_a[bit], ha, 0) + rec(labels, ctrl_a, ctrl_b, 0) + + +def kg_prefix_ancilla_count(n: int) -> int: + """Exact port of ``arith/khattar_gidney.rs::kg_prefix_ancilla_count``.""" + if n <= 1: + return 0 + targets_len = _kg_get_layer_id(n - 1) + 1 + if targets_len <= 2: + return 1 + return 2 + kg_prefix_ancilla_count(targets_len) + + +def _kg_get_layer_id(x: int) -> int: + layer_id = 0 + start = 0 + while start <= x: + start += (1 << layer_id) + 1 + layer_id += 1 + return layer_id - 1 + + +def _kg_start_layer(layer_id: int) -> int: + return sum((1 << i) + 1 for i in range(layer_id)) + + +def _kg_get_layers_for_prefix_and(q: Sequence[Qubit], ancillas: Sequence[Qubit]): + """Return the exact conditionally-clean KG layer schedule used by Rust.""" + q = list(q) + ancillas = list(ancillas) + if not q: + raise ValueError("KG prefix input must be non-empty") + if len(q) == 1: + return [dict(ctrls=[], ops=[]), dict(ctrls=[q[0]], ops=[])] + need = kg_prefix_ancilla_count(len(q)) + if len(ancillas) < need: + raise ValueError(f"KG prefix needs {need} ancillas, got {len(ancillas)}") + + n = len(q) + n_layers = _kg_get_layer_id(n - 1) + layers = [dict(ctrls=[], ops=[])] + targets: list[Qubit] = [] + anc = [ancillas[0]] + + for layer_id in range(n_layers + 1): + start = _kg_start_layer(layer_id) + end = min(n, _kg_start_layer(layer_id + 1)) + layers.append(dict(ctrls=targets + [q[start]], ops=[])) + for i in range(start + 1, end): + offset = i - start + if offset == 1: + q1, target = q[i - 1], anc[-1] + else: + q1, target = anc[-(offset - 1)], anc[-offset] + ops = [] + if target is ancillas[0]: + ops.append(("ccx", q[i], q1, target)) + else: + ops.append(("x", target)) + ops.append(("ccx", q[i], q1, target)) + layers.append(dict(ctrls=targets + [target], ops=ops)) + + layer_len = end - start + targets.append(anc[1 - layer_len]) + anc = anc[2 - layer_len:] + q[start:end] + + if len(targets) <= 2: + return layers + + layers.append(dict(ctrls=[], ops=[])) + target_layers = _kg_get_layers_for_prefix_and(targets, ancillas[2:]) + for layer_id in range(1, n_layers + 1): + start = _kg_start_layer(layer_id) + end = min(n, _kg_start_layer(layer_id + 1)) + target_ctrls = list(target_layers[layer_id]["ctrls"]) + layers[start + 1]["ops"].extend(target_layers[layer_id]["ops"]) + if len(target_ctrls) == 1: + temp_target = target_ctrls[0] + elif len(target_ctrls) == 2: + temp_target = ancillas[1] + layers[start + 1]["ops"].append( + ("ccx", target_ctrls[0], target_ctrls[1], temp_target) + ) + else: + raise AssertionError("KG recursive target prefix must expose one or two controls") + for i in range(start, end): + local = layers[i + 1]["ctrls"][-1] + layers[i + 1]["ctrls"] = [temp_target, local] + if len(target_ctrls) == 2: + layers[end + 1]["ops"].append( + ("ccx", target_ctrls[0], target_ctrls[1], temp_target) + ) + return layers + + +def _kg_emit_op(qc: QuantumCircuit, op) -> None: + if op[0] == "x": + qc.x(op[1]) + elif op[0] == "ccx": + qc.ccx(op[1], op[2], op[3]) + else: + raise AssertionError(f"unknown KG op {op[0]}") + + +def _kg_emit_layers(qc: QuantumCircuit, layers, *, reverse: bool = False) -> None: + layer_order = reversed(layers) if reverse else layers + for layer in layer_order: + op_order = reversed(layer["ops"]) if reverse else layer["ops"] + for op in op_order: + _kg_emit_op(qc, op) + + +def _kg_lowest_layer_touching(layers, changed: Sequence[Qubit]) -> Optional[int]: + changed_ids = {id(q) for q in changed} + for index, layer in enumerate(layers): + for op in layer["ops"]: + if any(id(q) in changed_ids for q in op[1:]): + return index + return None + + +def _kg_toggle_equality(qc: QuantumCircuit, *, base: Sequence[Qubit], c0: Qubit, + flag: Qubit, clean_temp: Optional[Qubit] = None, + borrowed_temp: Optional[Qubit] = None) -> None: + controls = list(base) + [c0] + if len(controls) == 1: + qc.cx(controls[0], flag) + elif len(controls) == 2: + qc.ccx(controls[0], controls[1], flag) + elif len(controls) == 3: + if (clean_temp is None) == (borrowed_temp is None): + raise ValueError("KG equality needs exactly one clean or borrowed temporary") + if clean_temp is not None: + _clean_c3x_mbu( + qc, controls[0], controls[1], controls[2], flag, clean_temp, + ) + else: + _borrowed_c3x( + qc, controls[0], controls[1], controls[2], flag, borrowed_temp, + ) + else: + raise ValueError(f"KG equality expected at most three controls, got {len(controls)}") + + +def dual_unary_iteration_log_star(qc: QuantumCircuit, *, + index_a: Sequence[Qubit], index_b: Sequence[Qubit], + labels: Sequence[int], ancillas_a: Sequence[Qubit], + ancillas_b: Sequence[Qubit], flag_a: Qubit, + flag_b: Qubit, common_ctrl: Qubit, + leaf_fn, + clean_temp: Optional[Qubit] = None, + borrowed_temp: Optional[Qubit] = None, + order: Literal["inc", "dec"] = "inc") -> None: + """Dual exact KG unary iterator with synchronized Gray updates. + + Each callback sees cleanly materialized raw equality flags for both + endpoints. Prefix and equality ancillas, borrowed lanes, and endpoints + are restored exactly on return. + """ + labels = sorted(set(labels), reverse=(order == "dec")) + if not labels: + return + if len(index_a) != len(index_b) or len(index_a) < 2: + raise ValueError("dual KG iterator requires equal endpoint widths >= 2") + n = len(index_a) + # Fold the common control into each prefix input. Keep it LAST so the + # conditionally-clean KG schedule never borrows the shared Ctrl as a + # target; both endpoint engines can then remain live simultaneously. + # The prefix product is AND(c[n-1],...,c[1],Ctrl), while c[0] remains the + # separate final control. + need = kg_prefix_ancilla_count(n) + if len(ancillas_a) < need or len(ancillas_b) < need: + raise ValueError(f"dual KG iterator needs {need} ancillas per endpoint") + + def complement_for(index: Sequence[Qubit], value: int) -> None: + for bit, lane in enumerate(index): + if ((value >> bit) & 1) == 0: + qc.x(lane) + + start = labels[0] + complement_for(index_a, start) + complement_for(index_b, start) + bits_a = list(reversed(index_a)) + bits_b = list(reversed(index_b)) + prefix_a = bits_a[:-1] + [common_ctrl] + prefix_b = bits_b[:-1] + [common_ctrl] + layers_a = _kg_get_layers_for_prefix_and(prefix_a, ancillas_a[:need]) + layers_b = _kg_get_layers_for_prefix_and(prefix_b, ancillas_b[:need]) + for layers in (layers_a, layers_b): + if any(op[-1] == common_ctrl for layer in layers for op in layer["ops"]): + raise AssertionError("dual KG schedule must not target shared Ctrl") + _kg_emit_layers(qc, layers_a) + _kg_emit_layers(qc, layers_b) + base_a = list(layers_a[len(prefix_a)]["ctrls"]) + base_b = list(layers_b[len(prefix_b)]["ctrls"]) + + for position, label in enumerate(labels): + _kg_toggle_equality( + qc, base=base_a, c0=index_a[0], flag=flag_a, + clean_temp=clean_temp, borrowed_temp=borrowed_temp, + ) + _kg_toggle_equality( + qc, base=base_b, c0=index_b[0], flag=flag_b, + clean_temp=clean_temp, borrowed_temp=borrowed_temp, + ) + leaf_fn(label, flag_a, flag_b) + _kg_toggle_equality( + qc, base=base_b, c0=index_b[0], flag=flag_b, + clean_temp=clean_temp, borrowed_temp=borrowed_temp, + ) + _kg_toggle_equality( + qc, base=base_a, c0=index_a[0], flag=flag_a, + clean_temp=clean_temp, borrowed_temp=borrowed_temp, + ) + + if position + 1 == len(labels): + continue + next_label = labels[position + 1] + delta = label ^ next_label + changed_a = [bits_a[n - 1 - bit] for bit in range(1, n) if (delta >> bit) & 1] + changed_b = [bits_b[n - 1 - bit] for bit in range(1, n) if (delta >> bit) & 1] + first_a = _kg_lowest_layer_touching(layers_a, changed_a) + first_b = _kg_lowest_layer_touching(layers_b, changed_b) + if first_b is not None: + _kg_emit_layers(qc, layers_b[first_b:], reverse=True) + if first_a is not None: + _kg_emit_layers(qc, layers_a[first_a:], reverse=True) + for bit in range(n): + if (delta >> bit) & 1: + qc.x(index_a[bit]) + qc.x(index_b[bit]) + if first_a is not None: + _kg_emit_layers(qc, layers_a[first_a:]) + if first_b is not None: + _kg_emit_layers(qc, layers_b[first_b:]) + + _kg_emit_layers(qc, layers_b, reverse=True) + _kg_emit_layers(qc, layers_a, reverse=True) + complement_for(index_b, labels[-1]) + complement_for(index_a, labels[-1]) + + +def dual_unary_iteration_log_star_raw_b( + qc: QuantumCircuit, + *, + index_a: Sequence[Qubit], + index_b: Sequence[Qubit], + labels: Sequence[int], + ancillas_a: Sequence[Qubit], + ancillas_b: Sequence[Qubit], + flag_a: Qubit, + common_ctrl: Qubit, + leaf_fn, + borrowed_temp: Qubit, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Dual KG iterator with endpoint B exposed as raw equality controls. + + Endpoint A is materialized in ``flag_a``. Endpoint B remains the + at-most-three-control product returned by the KG prefix schedule, allowing + callers to apply it directly and avoid a second clean equality flag. + """ + labels = sorted(set(labels), reverse=(order == "dec")) + if not labels: + return + if len(index_a) != len(index_b) or len(index_a) < 2: + raise ValueError("raw-B dual KG iterator requires equal widths >= 2") + n = len(index_a) + need = kg_prefix_ancilla_count(n) + if len(ancillas_a) < need or len(ancillas_b) < need: + raise ValueError(f"raw-B dual KG iterator needs {need} lanes per endpoint") + + def complement_for(index: Sequence[Qubit], value: int) -> None: + for bit, lane in enumerate(index): + if ((value >> bit) & 1) == 0: + qc.x(lane) + + start = labels[0] + complement_for(index_a, start) + complement_for(index_b, start) + bits_a = list(reversed(index_a)) + bits_b = list(reversed(index_b)) + prefix_a = bits_a[:-1] + [common_ctrl] + prefix_b = bits_b[:-1] + [common_ctrl] + layers_a = _kg_get_layers_for_prefix_and(prefix_a, ancillas_a[:need]) + layers_b = _kg_get_layers_for_prefix_and(prefix_b, ancillas_b[:need]) + for layers in (layers_a, layers_b): + if any(op[-1] == common_ctrl for layer in layers for op in layer["ops"]): + raise AssertionError("raw-B KG schedule must not target shared Ctrl") + _kg_emit_layers(qc, layers_a) + _kg_emit_layers(qc, layers_b) + base_a = list(layers_a[len(prefix_a)]["ctrls"]) + base_b = list(layers_b[len(prefix_b)]["ctrls"]) + + for position, label in enumerate(labels): + _kg_toggle_equality( + qc, base=base_a, c0=index_a[0], flag=flag_a, + borrowed_temp=borrowed_temp, + ) + raw_b = base_b + [index_b[0]] + if not 1 <= len(raw_b) <= 3: + raise AssertionError(f"raw-B equality has {len(raw_b)} controls") + leaf_fn(label, flag_a, raw_b) + _kg_toggle_equality( + qc, base=base_a, c0=index_a[0], flag=flag_a, + borrowed_temp=borrowed_temp, + ) + + if position + 1 == len(labels): + continue + next_label = labels[position + 1] + delta = label ^ next_label + changed_a = [ + bits_a[n - 1 - bit] for bit in range(1, n) if (delta >> bit) & 1 + ] + changed_b = [ + bits_b[n - 1 - bit] for bit in range(1, n) if (delta >> bit) & 1 + ] + first_a = _kg_lowest_layer_touching(layers_a, changed_a) + first_b = _kg_lowest_layer_touching(layers_b, changed_b) + if first_b is not None: + _kg_emit_layers(qc, layers_b[first_b:], reverse=True) + if first_a is not None: + _kg_emit_layers(qc, layers_a[first_a:], reverse=True) + for bit in range(n): + if (delta >> bit) & 1: + qc.x(index_a[bit]) + qc.x(index_b[bit]) + if first_a is not None: + _kg_emit_layers(qc, layers_a[first_a:]) + if first_b is not None: + _kg_emit_layers(qc, layers_b[first_b:]) + + _kg_emit_layers(qc, layers_b, reverse=True) + _kg_emit_layers(qc, layers_a, reverse=True) + complement_for(index_b, labels[-1]) + complement_for(index_a, labels[-1]) + + +def dual_unary_iteration_log_star_raw_ab( + qc: QuantumCircuit, + *, + index_a: Sequence[Qubit], + index_b: Sequence[Qubit], + labels: Sequence[int], + ancillas_a: Sequence[Qubit], + ancillas_b: Sequence[Qubit], + common_ctrl: Qubit, + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Dual KG iterator exposing both endpoint equalities as raw controls.""" + labels = sorted(set(labels), reverse=(order == "dec")) + if not labels: + return + if len(index_a) != len(index_b) or len(index_a) < 2: + raise ValueError("raw-AB dual KG iterator requires equal widths >= 2") + n = len(index_a) + need = kg_prefix_ancilla_count(n) + if len(ancillas_a) < need or len(ancillas_b) < need: + raise ValueError(f"raw-AB dual KG iterator needs {need} lanes per endpoint") + + def complement_for(index: Sequence[Qubit], value: int) -> None: + for bit, lane in enumerate(index): + if ((value >> bit) & 1) == 0: + qc.x(lane) + + start = labels[0] + complement_for(index_a, start) + complement_for(index_b, start) + bits_a = list(reversed(index_a)) + bits_b = list(reversed(index_b)) + prefix_a = bits_a[:-1] + [common_ctrl] + prefix_b = bits_b[:-1] + [common_ctrl] + layers_a = _kg_get_layers_for_prefix_and(prefix_a, ancillas_a[:need]) + layers_b = _kg_get_layers_for_prefix_and(prefix_b, ancillas_b[:need]) + for layers in (layers_a, layers_b): + if any(op[-1] == common_ctrl for layer in layers for op in layer["ops"]): + raise AssertionError("raw-AB KG schedule must not target shared Ctrl") + _kg_emit_layers(qc, layers_a) + _kg_emit_layers(qc, layers_b) + base_a = list(layers_a[len(prefix_a)]["ctrls"]) + base_b = list(layers_b[len(prefix_b)]["ctrls"]) + + for position, label in enumerate(labels): + raw_a = base_a + [index_a[0]] + raw_b = base_b + [index_b[0]] + if not 1 <= len(raw_a) <= 3 or not 1 <= len(raw_b) <= 3: + raise AssertionError( + f"raw-AB equality sizes {len(raw_a)}, {len(raw_b)}" + ) + leaf_fn(label, raw_a, raw_b) + + if position + 1 == len(labels): + continue + next_label = labels[position + 1] + delta = label ^ next_label + changed_a = [ + bits_a[n - 1 - bit] for bit in range(1, n) if (delta >> bit) & 1 + ] + changed_b = [ + bits_b[n - 1 - bit] for bit in range(1, n) if (delta >> bit) & 1 + ] + first_a = _kg_lowest_layer_touching(layers_a, changed_a) + first_b = _kg_lowest_layer_touching(layers_b, changed_b) + if first_b is not None: + _kg_emit_layers(qc, layers_b[first_b:], reverse=True) + if first_a is not None: + _kg_emit_layers(qc, layers_a[first_a:], reverse=True) + for bit in range(n): + if (delta >> bit) & 1: + qc.x(index_a[bit]) + qc.x(index_b[bit]) + if first_a is not None: + _kg_emit_layers(qc, layers_a[first_a:]) + if first_b is not None: + _kg_emit_layers(qc, layers_b[first_b:]) + + _kg_emit_layers(qc, layers_b, reverse=True) + _kg_emit_layers(qc, layers_a, reverse=True) + complement_for(index_b, labels[-1]) + complement_for(index_a, labels[-1]) + + +def dual_unary_iteration_direct_raw_ab( + qc: QuantumCircuit, + *, + index_a: Sequence[Qubit], + index_b: Sequence[Qubit], + labels: Sequence[int], + common_ctrl: Qubit, + leaf_fn, + order: Literal["inc", "dec"] = "inc", +) -> None: + """Dual Gray iterator exposing full endpoint equalities as raw controls.""" + labels = sorted(set(labels), reverse=(order == "dec")) + if not labels: + return + if len(index_a) != len(index_b): + raise ValueError("direct raw-AB iterator requires equal endpoint widths") + + def complement_for(index: Sequence[Qubit], value: int) -> None: + for bit, lane in enumerate(index): + if ((value >> bit) & 1) == 0: + qc.x(lane) + + start = labels[0] + complement_for(index_a, start) + complement_for(index_b, start) + raw_a = [common_ctrl] + list(index_a) + raw_b = [common_ctrl] + list(index_b) + for position, label in enumerate(labels): + leaf_fn(label, raw_a, raw_b) + if position + 1 == len(labels): + continue + delta = label ^ labels[position + 1] + for bit in range(len(index_a)): + if (delta >> bit) & 1: + qc.x(index_a[bit]) + qc.x(index_b[bit]) + complement_for(index_b, labels[-1]) + complement_for(index_a, labels[-1]) + + +def _toggle_eq_const_under_ctrl_direct(qc: QuantumCircuit, *, endpoint: Sequence[Qubit], const: int, ctrl: Qubit, acc: Qubit, scratch: Sequence[Qubit]) -> None: + # scratch supplies a temporary eq flag followed by mcx scratch. + eq = scratch[0] + pool = list(scratch[1:]) + _e.compute_eq_const(qc, endpoint, const, eq, pool) + qc.ccx(ctrl, eq, acc) + _e.compute_eq_const(qc, endpoint, const, eq, pool) + + +def _const_scratch(Scratch, width: int, carry: Qubit) -> list[Qubit]: + # add_const_mod_2n expects width constant bits followed by one clean carry. + return list(Scratch[:width]) + [carry] + + +def _controlled_adjacent_basis_swap(qc: QuantumCircuit, *, ctrl: Qubit, + reg: Sequence[Qubit], a: int, b: int, + scratch: Sequence[Qubit]) -> None: + """Swap adjacent basis labels a/b under ctrl, restoring clean scratch.""" + diff = a ^ b + if diff == 0 or diff & (diff - 1): + raise ValueError("adjacent basis labels must differ in exactly one bit") + target_bit = diff.bit_length() - 1 + controls = [ctrl] + inverted: list[Qubit] = [] + for bit, qubit in enumerate(reg): + if bit == target_bit: + continue + if ((a >> bit) & 1) == 0: + qc.x(qubit) + inverted.append(qubit) + controls.append(qubit) + _e.mcx_vchain(qc, controls, reg[target_bit], scratch) + for qubit in reversed(inverted): + qc.x(qubit) + + +def _controlled_basis_swap(qc: QuantumCircuit, *, ctrl: Qubit, + reg: Sequence[Qubit], a: int, b: int, + scratch: Sequence[Qubit]) -> None: + """Exact controlled transposition of two computational-basis labels.""" + if a == b: + return + path = [a] + current = a + for bit in range(len(reg)): + if ((a ^ b) >> bit) & 1: + current ^= 1 << bit + path.append(current) + if path[-1] != b: + raise AssertionError("basis-swap Gray path") + edges = list(zip(path, path[1:])) + for left, right in edges: + _controlled_adjacent_basis_swap( + qc, ctrl=ctrl, reg=reg, a=left, b=right, scratch=scratch, + ) + for left, right in reversed(edges[:-1]): + _controlled_adjacent_basis_swap( + qc, ctrl=ctrl, reg=reg, a=left, b=right, scratch=scratch, + ) + + +def _controlled_zero_259_swap_linear(qc: QuantumCircuit, *, ctrl: Qubit, + reg: Sequence[Qubit], + scratch: Sequence[Qubit]) -> None: + """Swap |0> and |259> with one high-control toggle, globally exactly. + + The difference word 259 has bits {0,1,8}. Conjugating by + x0 ^= x8; x1 ^= x8 maps it to the unit word 256, so the transposition + needs one adjacent basis swap instead of a five-swap Gray palindrome. + """ + if len(reg) != LS_WIDTH: + raise ValueError("0/259 transposition requires a 9-bit register") + qc.cx(reg[8], reg[0]) + qc.cx(reg[8], reg[1]) + _controlled_adjacent_basis_swap( + qc, ctrl=ctrl, reg=reg, a=0, b=1 << 8, scratch=scratch, + ) + qc.cx(reg[8], reg[1]) + qc.cx(reg[8], reg[0]) + + +def inc_mod259_1ctrl(qc: QuantumCircuit, ctrl: Qubit, + reg: Sequence[Qubit], scratch: Sequence[Qubit]) -> None: + """Controlled +1 on 0..258, extended to a permutation on all 9-bit words.""" + if len(reg) != LS_WIDTH: + raise ValueError("mod-259 increment requires a 9-bit register") + _e.inc_mod2n_1ctrl(qc, ctrl, list(reg), scratch[: LS_WIDTH - 1]) + _controlled_zero_259_swap_linear(qc, ctrl=ctrl, reg=reg, scratch=scratch) + + +def dec_mod259_1ctrl(qc: QuantumCircuit, ctrl: Qubit, + reg: Sequence[Qubit], scratch: Sequence[Qubit]) -> None: + """Exact inverse of inc_mod259_1ctrl.""" + if len(reg) != LS_WIDTH: + raise ValueError("mod-259 decrement requires a 9-bit register") + _controlled_zero_259_swap_linear(qc, ctrl=ctrl, reg=reg, scratch=scratch) + _e.dec_mod2n_1ctrl(qc, ctrl, list(reg), scratch[: LS_WIDTH - 1]) + + +def _controlled_zero_259_swap_dirty( + qc: QuantumCircuit, + *, + ctrl: Qubit, + reg: Sequence[Qubit], + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Swap 0 and 259 using restored dirty lenders instead of clean scratch.""" + if len(reg) != LS_WIDTH: + raise ValueError("dirty 0/259 transposition requires a 9-bit register") + qc.cx(reg[8], reg[0]) + qc.cx(reg[8], reg[1]) + for lane in reg[:8]: + qc.x(lane) + controls = [ctrl] + [reg[bit] for bit in range(LS_WIDTH) if bit != 8] + if clean_helper is None: + _toggle_raw_controls_dirty(qc, controls, reg[8], dirty) + else: + _toggle_one_clean_mcx_9(qc, controls, reg[8], clean_helper) + for lane in reversed(reg[:8]): + qc.x(lane) + qc.cx(reg[8], reg[1]) + qc.cx(reg[8], reg[0]) + + +def inc_mod259_1ctrl_dirty( + qc: QuantumCircuit, + ctrl: Qubit, + reg: Sequence[Qubit], + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Controlled +1 modulo 259 with arbitrary restored dirty lenders.""" + if clean_helper is None: + _increment_by_dirty_carry(qc, reg, dirty, ctrl) + else: + _increment_by_one_clean_carry_9(qc, reg, ctrl, clean_helper) + _controlled_zero_259_swap_dirty( + qc, ctrl=ctrl, reg=reg, dirty=dirty, clean_helper=clean_helper, + ) + + +def dec_mod259_1ctrl_dirty( + qc: QuantumCircuit, + ctrl: Qubit, + reg: Sequence[Qubit], + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Exact inverse of inc_mod259_1ctrl_dirty.""" + _controlled_zero_259_swap_dirty( + qc, ctrl=ctrl, reg=reg, dirty=dirty, clean_helper=clean_helper, + ) + if clean_helper is None: + _decrement_by_dirty_carry(qc, reg, dirty, ctrl) + else: + _decrement_by_one_clean_carry_9(qc, reg, ctrl, clean_helper) + + +def _swap_zero_259_uncontrolled(qc: QuantumCircuit, reg: Sequence[Qubit], + one: Qubit, scratch: Sequence[Qubit]) -> None: + """Swap basis labels 0 and 259, restoring a temporary constant-one bit.""" + qc.x(one) + _controlled_zero_259_swap_linear(qc, ctrl=one, reg=reg, scratch=scratch) + qc.x(one) + + +def _swap_zero_259_uncontrolled_dirty( + qc: QuantumCircuit, + reg: Sequence[Qubit], + one: Qubit, + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Uncontrolled 0/259 transposition using a restored constant-one lane.""" + qc.x(one) + _controlled_zero_259_swap_dirty( + qc, ctrl=one, reg=reg, dirty=dirty, clean_helper=clean_helper, + ) + qc.x(one) + + +@lru_cache(maxsize=None) +def clean_c3x_mbu_gate() -> Gate: + """Self-inverse C^3X with a clean temporary lowered by KMX HMR.""" + wires = QuantumRegister(5, "c3x") + qc = QuantumCircuit(wires, name="CLEAN_C3X_MBU") + qc.ccx(wires[0], wires[1], wires[4]) + qc.ccx(wires[2], wires[4], wires[3]) + qc.ccx(wires[0], wires[1], wires[4]) + return qc.to_gate() + + +def _clean_c3x_mbu(qc: QuantumCircuit, a: Qubit, b: Qubit, c: Qubit, + target: Qubit, clean_temp: Qubit) -> None: + """Toggle ``target`` by ``a & b & c`` and HMR-clean ``clean_temp``.""" + qc.append(clean_c3x_mbu_gate(), [a, b, c, target, clean_temp]) + + +def _dirty_c3x(qc: QuantumCircuit, a: Qubit, b: Qubit, c: Qubit, target: Qubit, dirty: Qubit) -> None: + qc.append(clean_c3x_mbu_gate(), [a, b, c, target, dirty]) + + +def _controlled_toffoli_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, target: Qubit, dirty: Qubit) -> None: + _dirty_c3x(qc, ctrl, a, b, target, dirty) + + +def controlled_maj_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + qc.ccx(ctrl, a, b) + qc.ccx(ctrl, a, c) + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + + +def controlled_uma_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + qc.ccx(ctrl, a, c) + qc.ccx(ctrl, c, b) + + +def controlled_maj_inv_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + qc.ccx(ctrl, a, c) + qc.ccx(ctrl, a, b) + + +def controlled_uma_inv_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + qc.ccx(ctrl, c, b) + qc.ccx(ctrl, a, c) + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + + +def _apply_cell_dirty(qc: QuantumCircuit, mode: Literal["add", "sub"], pass_kind: Literal["first", "second"], + ctrl: Qubit, addend: Qubit, target: Qubit, carry: Qubit, dirty: Qubit) -> None: + if mode == "add" and pass_kind == "first": + controlled_maj_dirty(qc, ctrl, addend, target, carry, dirty) + elif mode == "add" and pass_kind == "second": + controlled_uma_dirty(qc, ctrl, addend, target, carry, dirty) + elif mode == "sub" and pass_kind == "first": + controlled_uma_inv_dirty(qc, ctrl, addend, target, carry, dirty) + elif mode == "sub" and pass_kind == "second": + controlled_maj_inv_dirty(qc, ctrl, addend, target, carry, dirty) + else: + raise ValueError("bad arithmetic cell mode/pass") + + +@lru_cache(maxsize=None) +def lc_swap_unary_gate(*, k: int, K: int, len_width: int, name: str = "LC_SWAP_S835_FAST") -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + depth = _e.unary_depth(M) + base = max(len_width, depth) + scratch_size = base + 2 + Ctrl = QuantumRegister(1, "Ctrl") + Direction = QuantumRegister(1, "Direction") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M + 1, "Work1") + l_t = QuantumRegister(len_width, "l_t") + l_q = QuantumRegister(len_width, "l_q") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Direction, Sign, Work1, l_t, l_q, Scratch, name=name) + carry = Scratch[base] + direction_flag = Scratch[base + 1] + cs = list(Scratch[:len_width]) + [carry] + qc.append(_e.cuccaro_add_mod_2n_no_z_gate(len_width, name="ADD_lt_to_lq"), list(l_t) + list(l_q) + [carry]) + _e.add_const_mod_2n(qc, l_q, 3, cs) + path = list(Scratch[:depth]) + def leaf(j: int, ej: Qubit) -> None: + # Phase 2 inserts the next quotient bit at physical j. Phase 3 removes + # the current low quotient bit at physical j-1. Direction (Phase1) is + # retained by the caller, so this branch is exactly reversible. + _e._and_with_index_bit(qc, ej, Direction[0], direction_flag, 0) + _e.cswap_toffoli(qc, direction_flag, Sign[0], Work1[j - k + 1]) + qc.cx(ej, direction_flag) + _e.cswap_toffoli(qc, direction_flag, Sign[0], Work1[j - k]) + qc.cx(ej, direction_flag) + _e._uncompute_and_with_index_bit(qc, ej, Direction[0], direction_flag, 0) + unary_iteration_tight(qc, index_reg=l_q, labels=list(range(k, K + 1)), ctrl=Ctrl[0], ancillas=path, leaf_fn=leaf, order="inc") + _e.sub_const_mod_2n(qc, l_q, 3, cs) + qc.append(_e.cuccaro_sub_mod_2n_no_z_gate(len_width, name="SUB_lt_from_lq"), list(l_t) + list(l_q) + [carry]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def lc_interval_addsub_unary_gate(*, n: int, k: int, K: int, len_width: int, shift_width: int, + mode: Literal["add", "sub"], sign_update: bool, + target: Literal["work1", "work2"], name: str) -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + endpoint_width = max(len_width, shift_width) + # Decode the complete interval. Splitting a 2^d+1 interval into a 2^d + # unary tree plus a special top label is unsound unless the tree is also + # conditioned on the omitted high bit: the top endpoint otherwise aliases + # label zero. The full tree costs one additional path qubit per endpoint + # and is injective over every in-range endpoint. + labels_all_abs = list(range(k, K + 1)) + rel_count = len(labels_all_abs) + labels_main = list(range(rel_count)) + top_special = False + top_rel = rel_count - 1 + depth = _tight_unary_depth_for_labels(labels_main) + # Layout note: + # anc_a/anc_b occupy the first 2*depth wires and are used only by + # the unary endpoint scans. Endpoint affine transforms need + # endpoint_width scratch wires plus a carry. For late steps the unary + # depth can be smaller than endpoint_width; placing carry immediately + # after the unary paths would then alias it with the constant-adder + # scratch. We therefore place carry/acc/cell_pool after the larger of + # the unary-scratch region and the endpoint-transform scratch region. + base = max(2 * depth, endpoint_width) + scratch_size = base + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(len_width, "l_t") + l_q = QuantumRegister(len_width, "l_q") + l_s = QuantumRegister(shift_width, "l_s") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Sign, Work1, Work2, l_t, l_q, l_s, Scratch, name=name) + anc_a = list(Scratch[:depth]) + anc_b = list(Scratch[depth:2*depth]) + carry = Scratch[base] + acc = Scratch[base + 1] + cell_pool = [Scratch[base + 2]] + # Top-special equality controls reuse one clean unary-path wire as the + # one-hot flag. The remaining clean paths plus cell_pool form its MCX + # scratch; this keeps the n=256 block within the 20-qubit shared pool. + top_flag = Scratch[0] + eq_scratch = [Scratch[base + 2]] + [q for q in Scratch[:base] if q != top_flag] + cs = _const_scratch(Scratch, endpoint_width, carry) + # Prepare L=(ell_t-1)+(ell_q-1)+4 and R=n+2-(ell_s-1). + qc.append(_e.cuccaro_add_mod_2n_no_z_gate(len_width, name="ADD_lt_to_lq"), list(l_t) + list(l_q) + [carry]) + _e.add_const_mod_2n(qc, l_q, 4, cs[:len_width] + [carry]) + _e.const_minus_inplace(qc, l_s, n + 2, cs[:shift_width] + [carry]) + # Convert absolute endpoints to relative offsets in [0, K-k]. + _e.sub_const_mod_2n(qc, l_q, k, cs[:len_width] + [carry]) + _e.sub_const_mod_2n(qc, l_s, k, cs[:shift_width] + [carry]) + def qpair(j: int) -> tuple[Qubit, Qubit]: + j_abs = k + j + idx = j_abs - k + if target == "work1": + return Work2[idx], Work1[idx] + if target == "work2": + return Work1[idx], Work2[idx] + raise ValueError("bad target") + def leaf_first(j: int, rj: Qubit, lj: Qubit) -> None: + addend, tgt = qpair(j) + idx = j + # Work1/Work2's r fields are big endian. The low boundary R uses the + # clean carry; cells toward L use the transformed lower addend bit as + # the Cuccaro carry chain. + if idx + 1 < rel_count: + _apply_cell_dirty( + qc, mode, "first", acc, addend, tgt, qpair(idx + 1)[0], cell_pool[0] + ) + _apply_cell_dirty(qc, mode, "first", rj, addend, tgt, carry, cell_pool[0]) + if sign_update: + qc.ccx(lj, addend, Sign[0]) + qc.cx(rj, acc) + qc.cx(lj, acc) + if top_special: + addend, tgt = qpair(top_rel) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _apply_cell_dirty(qc, mode, "first", top_flag, addend, tgt, carry, cell_pool[0]) + qc.cx(top_flag, acc) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + if sign_update: + qc.ccx(top_flag, addend, Sign[0]) + qc.cx(top_flag, acc) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + dual_unary_iteration_tight(qc, index_a=l_s, index_b=l_q, labels=labels_main, + ctrl_a=Ctrl[0], ctrl_b=Ctrl[0], ancillas_a=anc_a, + ancillas_b=anc_b, leaf_fn=leaf_first, order="dec") + def leaf_second(j: int, rj: Qubit, lj: Qubit) -> None: + addend, tgt = qpair(j) + idx = j + qc.cx(lj, acc) + qc.cx(rj, acc) + if idx + 1 < rel_count: + _apply_cell_dirty( + qc, mode, "second", acc, addend, tgt, qpair(idx + 1)[0], cell_pool[0] + ) + _apply_cell_dirty(qc, mode, "second", rj, addend, tgt, carry, cell_pool[0]) + dual_unary_iteration_tight(qc, index_a=l_s, index_b=l_q, labels=labels_main, + ctrl_a=Ctrl[0], ctrl_b=Ctrl[0], ancillas_a=anc_a, + ancillas_b=anc_b, leaf_fn=leaf_second, order="inc") + if top_special: + addend, tgt = qpair(top_rel) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + qc.cx(top_flag, acc) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + qc.cx(top_flag, acc) + _apply_cell_dirty(qc, mode, "second", top_flag, addend, tgt, carry, cell_pool[0]) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _e.add_const_mod_2n(qc, l_s, k, cs[:shift_width] + [carry]) + _e.add_const_mod_2n(qc, l_q, k, cs[:len_width] + [carry]) + _e.const_minus_inplace(qc, l_s, n + 2, cs[:shift_width] + [carry]) + _e.sub_const_mod_2n(qc, l_q, 4, cs[:len_width] + [carry]) + qc.append(_e.cuccaro_sub_mod_2n_no_z_gate(len_width, name="SUB_lt_from_lq"), list(l_t) + list(l_q) + [carry]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def lc_prefix_addsub_unary_gate(*, k: int, K: int, len_width: int, + mode: Literal["add", "sub"], sign_update: bool, + target: Literal["work1", "work2"], name: str, + endpoint_offset: int = 2) -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + depth = _e.unary_depth(M) + base = max(depth, len_width) + scratch_size = base + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(len_width, "l_t") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Sign, Work1, Work2, l_t, Scratch, name=name) + path = list(Scratch[:depth]) + carry = Scratch[base] + acc = Scratch[base + 1] + cell_pool = [Scratch[base + 2]] + cs = list(Scratch[:len_width]) + [carry] + _e.add_const_mod_2n(qc, l_t, endpoint_offset, cs) + def qpair(j: int) -> tuple[Qubit, Qubit]: + idx = j - k + if target == "work1": + return Work2[idx], Work1[idx] + if target == "work2": + return Work1[idx], Work2[idx] + raise ValueError("bad target") + qc.cx(Ctrl[0], acc) + def leaf_first(j: int, ej: Qubit) -> None: + addend, tgt = qpair(j) + if j == k: + _apply_cell_dirty(qc, mode, "first", Ctrl[0], addend, tgt, carry, cell_pool[0]) + else: + _apply_cell_dirty(qc, mode, "first", acc, addend, tgt, qpair(j - 1)[0], cell_pool[0]) + if sign_update: + qc.ccx(ej, addend, Sign[0]) + qc.cx(ej, acc) + unary_iteration_tight(qc, index_reg=l_t, labels=list(range(k, K + 1)), ctrl=Ctrl[0], ancillas=path, leaf_fn=leaf_first, order="inc") + def leaf_second(j: int, ej: Qubit) -> None: + addend, tgt = qpair(j) + qc.cx(ej, acc) + if j == k: + _apply_cell_dirty(qc, mode, "second", Ctrl[0], addend, tgt, carry, cell_pool[0]) + else: + _apply_cell_dirty(qc, mode, "second", acc, addend, tgt, qpair(j - 1)[0], cell_pool[0]) + unary_iteration_tight(qc, index_reg=l_t, labels=list(range(k, K + 1)), ctrl=Ctrl[0], ancillas=path, leaf_fn=leaf_second, order="dec") + qc.cx(Ctrl[0], acc) + _e.sub_const_mod_2n(qc, l_t, endpoint_offset, cs) + return _e._finalize_block(qc) + + +def _upper_zero_map_controlled(qc: QuantumCircuit, *, ctrl: Qubit, + boundary_B: Sequence[Qubit], bits: Sequence[Qubit], + dirty: Sequence[Qubit], k: int, K: int, + scratch: Sequence[Qubit]) -> None: + """Controlled upper-zero dirty map with one shared palindromic scan.""" + depth = _e.unary_depth(K - k + 1) + if len(scratch) < depth + 2: + raise ValueError("controlled upper-zero map scratch shortage") + path = list(scratch[:depth]) + range_acc = scratch[depth] + a_tmp = scratch[depth + 1] + + def compute_factor(bctrl: Qubit, bit: Qubit) -> None: + # ctrl & !(bctrl & bit): out-of-range positions contribute the + # multiplicative identity when active, while ctrl=0 is exact identity. + qc.cx(ctrl, a_tmp) + qc.ccx(bctrl, bit, a_tmp) + + def leaf_forward(j: int, bctrl: Qubit) -> None: + idx = j - k + if j == K: + # At the pivot, a_K = ctrl xor ([K <= B] & bit_K). Applying it + # directly removes one compute/action/uncompute Toffoli. + qc.cx(ctrl, dirty[idx]) + qc.ccx(bctrl, bits[idx], dirty[idx]) + return + compute_factor(bctrl, bits[idx]) + qc.ccx(a_tmp, dirty[idx + 1], dirty[idx]) + compute_factor(bctrl, bits[idx]) + + def leaf_reverse(j: int, bctrl: Qubit) -> None: + idx = j - k + compute_factor(bctrl, bits[idx]) + qc.ccx(a_tmp, dirty[idx + 1], dirty[idx]) + compute_factor(bctrl, bits[idx]) + + labels = list(range(k, K + 1)) + + def scan_forward(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + leaf_forward(sub_labels[0], range_acc) + qc.cx(g, range_acc) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = path[level] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + scan_forward(zero, h, level + 1) + qc.cx(g, h) + scan_forward(one, h, level + 1) + qc.cx(g, h) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + def scan_reverse(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + qc.cx(g, range_acc) + leaf_reverse(sub_labels[0], range_acc) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = path[level] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + qc.cx(g, h) + scan_reverse(one, h, level + 1) + qc.cx(g, h) + scan_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + def scan_palindrome(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + leaf_forward(sub_labels[0], range_acc) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = path[level] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + scan_forward(zero, h, level + 1) + qc.cx(g, h) + scan_palindrome(one, h, level + 1) + qc.cx(g, h) + scan_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + qc.cx(ctrl, range_acc) + scan_palindrome(labels, ctrl, 0) + qc.cx(ctrl, range_acc) + + +@lru_cache(maxsize=None) +def t_tail_zero_toggle_gate(*, n: int, len_width: int, shift_width: int, + name: str = "T_TAIL_ZERO_S835_FAST") -> Gate: + """Toggle Tail iff Work2[A..=B] is zero for the dynamic t' tail.""" + work_size = n + 3 + labels = list(range(work_size)) + depth = _tight_unary_depth_for_labels(labels) + map_need = _e.unary_depth(work_size) + 2 + + def pivot_depth(sub_labels: list[int], pivot: int) -> int: + if len(sub_labels) <= 1: + return 0 + bit = _e._split_bit(sub_labels) + branch = [j for j in sub_labels if ((j >> bit) & 1) == ((pivot >> bit) & 1)] + return 1 + pivot_depth(branch, pivot) + + live_select_depth = pivot_depth(labels, labels[-1]) + + Ctrl = QuantumRegister(1, "Ctrl") + Tail = QuantumRegister(1, "Tail") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(len_width, "l_t") + l_s = QuantumRegister(shift_width, "l_s") + l_rp = QuantumRegister(len_width, "l_rp") + map_offset = 0 + select_offset = map_need + carry_offset = select_offset + live_select_depth + Scratch = QuantumRegister(carry_offset + 1, "Scratch") + qc = _e._block_circuit(Ctrl, Tail, Work1, Work2, l_t, l_s, l_rp, Scratch, name=name) + length_carry = Scratch[carry_offset] + + def shift_lower_endpoint(forward: bool) -> None: + # Adding two modulo 2^w is an increment of bits 1..w-1. + if len_width <= 1: + return + upper = list(l_t[1:]) + ancillas = list(Scratch[:max(0, len(upper) - 1)]) + if forward: + _e.inc_mod2n_uncontrolled(qc, upper, ancillas) + else: + _e.dec_mod2n_uncontrolled(qc, upper, ancillas) + + def reflect_upper_endpoint() -> None: + # l_rp <- n-l_rp. At n=256 the constant is the top bit of the + # 9-bit endpoint, so its modular addition is a single X. + for q in l_rp: + qc.x(q) + _e.inc_mod2n_uncontrolled(qc, l_rp, list(Scratch[:max(0, len_width - 1)])) + if n == (1 << (len_width - 1)): + qc.x(l_rp[len_width - 1]) + else: + _e.add_const_mod_2n( + qc, l_rp, n, list(Scratch[:len_width]) + [length_carry] + ) + + def transform_endpoints() -> None: + # A=l_t+1 (after the appended zero lane) and + # B=n+2-l_r'-l_s in zero-based physical coordinates. + shift_lower_endpoint(True) + qc.append( + _e.cuccaro_add_mod_2n_no_z_gate(len_width, name="ADD_ls_to_lrp"), + list(l_s[:len_width]) + list(l_rp) + [length_carry], + ) + reflect_upper_endpoint() + + def restore_endpoints() -> None: + reflect_upper_endpoint() + qc.append( + _e.cuccaro_sub_mod_2n_no_z_gate(len_width, name="SUB_ls_from_lrp"), + list(l_s[:len_width]) + list(l_rp) + [length_carry], + ) + shift_lower_endpoint(False) + + map_scratch = list(Scratch[map_offset:map_offset + map_need]) + # Only the path to the maximum label remains live across the central map. + # Give those levels dedicated wires; all deeper selector levels are clean + # before the map and can alias its scratch without widening the EEA step. + select_path = ( + list(Scratch[select_offset:select_offset + live_select_depth]) + + map_scratch[:depth - live_select_depth] + ) + + def apply_upper_map() -> None: + _upper_zero_map_controlled( + qc, ctrl=Ctrl[0], boundary_B=l_rp, bits=Work2, dirty=Work1, + k=0, K=work_size - 1, scratch=map_scratch, + ) + + def selected_leaf(j: int, ej: Qubit) -> None: + qc.ccx(ej, Work1[j], Tail[0]) + + def select_forward(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + selected_leaf(sub_labels[0], g) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = select_path[level] + _e._and_with_index_bit(qc, g, l_t[bit], h, 0) + select_forward(zero, h, level + 1) + qc.cx(g, h) + select_forward(one, h, level + 1) + qc.cx(g, h) + _e._uncompute_and_with_index_bit(qc, g, l_t[bit], h, 0) + + def select_reverse(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + selected_leaf(sub_labels[0], g) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = select_path[level] + _e._and_with_index_bit(qc, g, l_t[bit], h, 0) + qc.cx(g, h) + select_reverse(one, h, level + 1) + qc.cx(g, h) + select_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, l_t[bit], h, 0) + + def select_map_palindrome(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + selected_leaf(sub_labels[0], g) + apply_upper_map() + selected_leaf(sub_labels[0], g) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = select_path[level] + _e._and_with_index_bit(qc, g, l_t[bit], h, 0) + select_forward(zero, h, level + 1) + qc.cx(g, h) + select_map_palindrome(one, h, level + 1) + qc.cx(g, h) + select_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, l_t[bit], h, 0) + + transform_endpoints() + select_map_palindrome(labels, Ctrl[0], 0) + apply_upper_map() + restore_endpoints() + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def t_lower_borrow_toggle_gate(*, n: int, len_width: int, + name: str = "T_LOWER_BORROW_S835_FAST") -> Gate: + """Toggle Neg by Tail times the exact borrow through the t prefix.""" + work_size = n + 3 + labels = list(range(1, work_size + 1)) + depth = _tight_unary_depth_for_labels(labels) + base = max(depth, len_width) + Ctrl = QuantumRegister(1, "Ctrl") + Tail = QuantumRegister(1, "Tail") + Neg = QuantumRegister(1, "Neg") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(len_width, "l_t") + Scratch = QuantumRegister(base + 2, "Scratch") + qc = _e._block_circuit(Ctrl, Tail, Neg, Work1, Work2, l_t, Scratch, name=name) + carry = Scratch[base] + active = Scratch[base + 1] + + # The first inverse-UMA pass of the controlled prefix subtractor stores + # the borrow through position j in Work1[j]. Execute that pass without a + # location control, use its intermediate value at the selected endpoint, + # then reverse it. The surrounding permutation cancels even when the + # output control is inactive, so only the unary selector needs Ctrl&Tail. + if len_width > 1: + _e.inc_mod2n_uncontrolled( + qc, l_t[1:], list(Scratch[:max(0, len_width - 2)]) + ) + qc.ccx(Ctrl[0], Tail[0], active) + + def first_pass_cell(idx: int) -> None: + addend = Work1[idx] + target = Work2[idx] + carry_in = carry if idx == 0 else Work1[idx - 1] + qc.cx(carry_in, target) + qc.cx(addend, carry_in) + qc.ccx(carry_in, target, addend) + + def leaf(j: int, ej: Qubit) -> None: + idx = j - 1 + first_pass_cell(idx) + qc.ccx(ej, Work1[idx], Neg[0]) + + unary_iteration_tight( + qc, index_reg=l_t, labels=labels, ctrl=active, + ancillas=list(Scratch[:depth]), leaf_fn=leaf, order="inc", + ) + + for idx in range(work_size - 1, -1, -1): + addend = Work1[idx] + target = Work2[idx] + carry_in = carry if idx == 0 else Work1[idx - 1] + qc.ccx(carry_in, target, addend) + qc.cx(addend, carry_in) + qc.cx(carry_in, target) + + qc.ccx(Ctrl[0], Tail[0], active) + if len_width > 1: + _e.dec_mod2n_uncontrolled( + qc, l_t[1:], list(Scratch[:max(0, len_width - 2)]) + ) + return _e._finalize_block(qc) + +# Reuse the low-aux length update; it is already the paper dirty-work construction with live-range shared scratch. +import eea_circuit_s835_lowaux as _low +len_update_lt_unary_gate = _low.len_update_lt_unary_gate +len_update_lrp_unary_gate = _low.len_update_lrp_unary_gate + + +def _borrowed_c3x(qc: QuantumCircuit, a: Qubit, b: Qubit, c: Qubit, + target: Qubit, borrowed: Qubit) -> None: + """Exact C3X using one unknown borrowed bit, restored with no phase.""" + lanes = [a, b, c, target, borrowed] + if len(set(lanes)) != len(lanes): + raise ValueError("borrowed C3X lanes must be distinct") + qc.ccx(a, b, borrowed) + qc.ccx(borrowed, c, target) + qc.ccx(a, b, borrowed) + qc.ccx(borrowed, c, target) + + +def _borrowed_c2swap(qc: QuantumCircuit, a: Qubit, b: Qubit, + left: Qubit, right: Qubit, borrowed: Qubit) -> None: + """Swap two lanes under two controls using one restored dirty lender.""" + lanes = [a, b, left, right, borrowed] + if len(set(lanes)) != len(lanes): + raise ValueError("borrowed C2SWAP lanes must be distinct") + qc.cx(right, left) + _borrowed_c3x(qc, a, b, left, right, borrowed) + qc.cx(right, left) + + +def _dirty_mcswap( + qc: QuantumCircuit, + controls: Sequence[Qubit], + left: Qubit, + right: Qubit, + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Swap two lanes under raw controls using restored dirty lenders.""" + controls = list(controls) + qc.cx(right, left) + _toggle_raw_controls_dirty( + qc, controls + [left], right, dirty, clean_helper=clean_helper, + ) + qc.cx(right, left) + + +def _mcx_dirty_ladder(qc: QuantumCircuit, controls: Sequence[Qubit], + target: Qubit, dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None) -> None: + """Toggle ``target`` by all controls, restoring unknown dirty lenders. + + This is the exact ``4*k - 8``-CCX construction used by the Rust KMX + lowerer in ``arith/mcx.rs``. The first cascade includes the seed link; + the second omits it, cancelling every dirty-seeded term while retaining + the complete control product once. + """ + k = len(controls) + if k == 0: + qc.x(target) + return + if k == 1: + qc.cx(controls[0], target) + return + if k == 2: + qc.ccx(controls[0], controls[1], target) + return + if ( + clean_helper is not None + and clean_helper != target + and clean_helper not in controls + ): + _toggle_one_clean_mcx(qc, controls, target, clean_helper) + return + if len(dirty) < k - 2: + raise ValueError(f"dirty MCX needs {k - 2} lenders, got {len(dirty)}") + lenders = list(dirty[:k - 2]) + lanes = list(controls) + [target] + lenders + if len(set(lanes)) != len(lanes): + raise ValueError("dirty MCX lanes must be distinct") + + def cascade(include_seed: bool) -> None: + if include_seed: + qc.ccx(controls[0], controls[1], lenders[0]) + for index in range(1, len(lenders)): + qc.ccx(lenders[index - 1], controls[index + 1], lenders[index]) + qc.ccx(lenders[-1], controls[k - 1], target) + for index in range(len(lenders) - 1, 0, -1): + qc.ccx(lenders[index - 1], controls[index + 1], lenders[index]) + if include_seed: + qc.ccx(controls[0], controls[1], lenders[0]) + + cascade(True) + cascade(False) + + +def _dirty_carry_add_raw( + qc: QuantumCircuit, + target: Sequence[Qubit], + addend: Sequence[Qubit], + carry: Qubit, +) -> None: + """Map target to target+addend+carry while restoring addend and carry.""" + target = list(target) + addend = list(addend) + if len(target) != len(addend): + raise ValueError("dirty-carry add width mismatch") + for target_bit, addend_bit in zip(target, addend): + qc.cx(carry, addend_bit) + qc.cx(carry, target_bit) + qc.ccx(target_bit, addend_bit, carry) + for target_bit, addend_bit in reversed(list(zip(target, addend))): + qc.ccx(target_bit, addend_bit, carry) + qc.cx(carry, target_bit) + qc.cx(addend_bit, target_bit) + qc.cx(carry, addend_bit) + + +def _decrement_by_dirty_carry( + qc: QuantumCircuit, + target: Sequence[Qubit], + lenders: Sequence[Qubit], + carry: Qubit, + clean_prefix: Sequence[Qubit] = (), + clean_helper: Optional[Qubit] = None, +) -> None: + target = list(target) + if clean_prefix: + # x - carry = NOT(NOT(x) + carry). Complementing the register once + # exposes the same clean-prefix increment kernel and avoids rebuilding + # each negative-control product independently. + for lane in target: + qc.x(lane) + _increment_by_dirty_carry( + qc, target, lenders, carry, clean_prefix=clean_prefix, + clean_helper=clean_helper, + ) + for lane in target: + qc.x(lane) + return + if clean_helper is not None and len(target) == 9: + _decrement_by_one_clean_carry_9(qc, target, carry, clean_helper) + return + for bit in range(len(target) - 1, -1, -1): + for lane in target[:bit]: + qc.x(lane) + _mcx_dirty_ladder( + qc, [carry] + target[:bit], target[bit], lenders, + clean_helper=clean_helper, + ) + for lane in reversed(target[:bit]): + qc.x(lane) + + +def _increment_by_dirty_carry( + qc: QuantumCircuit, + target: Sequence[Qubit], + lenders: Sequence[Qubit], + carry: Qubit, + clean_prefix: Sequence[Qubit] = (), + clean_helper: Optional[Qubit] = None, +) -> None: + target = list(target) + prefix_count = min(len(clean_prefix), max(0, len(target) - 1)) + if prefix_count: + prefix = list(clean_prefix[:prefix_count]) + lanes = [carry] + target + prefix + if len(set(lanes)) != len(lanes): + raise ValueError("clean-prefix increment lanes must be distinct") + + # Materialize carry&t[0]&...&t[i] once. High target bits use the + # deepest prefix as a shortened dirty-ladder control. Descending + # toggles then expose each still-original lower target bit in time to + # uncompute its prefix lane exactly. + qc.ccx(carry, target[0], prefix[0]) + for index in range(1, prefix_count): + qc.ccx(prefix[index - 1], target[index], prefix[index]) + deepest = prefix[-1] + for bit in range(len(target) - 1, prefix_count, -1): + _mcx_dirty_ladder( + qc, + [deepest] + target[prefix_count:bit], + target[bit], + lenders, + ) + for bit in range(prefix_count, 0, -1): + qc.cx(prefix[bit - 1], target[bit]) + if bit == 1: + qc.ccx(carry, target[0], prefix[0]) + else: + qc.ccx(prefix[bit - 2], target[bit - 1], prefix[bit - 1]) + qc.cx(carry, target[0]) + return + if clean_helper is not None and len(target) == 9: + _increment_by_one_clean_carry_9(qc, target, carry, clean_helper) + return + for bit in range(len(target) - 1, -1, -1): + _mcx_dirty_ladder( + qc, [carry] + target[:bit], target[bit], lenders, + clean_helper=clean_helper, + ) + + +def _one_clean_carry_9_ops( + target: Sequence[Qubit], carry: Qubit, clean_helper: Qubit, +) -> list[tuple[str, tuple[Qubit, ...]]]: + """Exact 9-bit controlled increment using one restored clean helper. + + This is the width-nine conditionally-clean construction independently + reconstructed from the public Q819 circuit artifact. The helper must + enter in |0>; it is restored to |0>, while ``carry`` is restored for both + values. Every primitive is self-inverse, so reversing this list gives the + exact controlled decrement. + """ + target = list(target) + if len(target) != 9: + raise ValueError("one-clean carry kernel is certified at width nine") + lanes = [carry] + target + [clean_helper] + if len(set(lanes)) != len(lanes): + raise ValueError("one-clean carry lanes must be distinct") + t0, t1, t2, t3, t4, t5, t6, t7, t8 = target + h = clean_helper + return [ + ("ccx", (carry, t0, h)), + ("ccx", (t1, t2, t0)), + ("ccx", (t3, t4, t2)), + ("ccx", (t5, t6, t4)), + ("x", (t0,)), ("x", (t2,)), ("x", (t4,)), + ("x", (t3,)), ("x", (t1,)), ("x", (carry,)), + ("ccx", (t7, t4, t3)), + ("ccx", (t3, t2, t1)), + ("ccx", (t1, t0, carry)), + ("ccx", (h, carry, t8)), + ("ccx", (t1, t0, carry)), + ("ccx", (t3, t2, t1)), + ("ccx", (t7, t4, t3)), + ("x", (t3,)), + ("ccx", (t4, t2, t1)), + ("ccx", (t1, t0, carry)), + ("ccx", (h, carry, t7)), + ("ccx", (t1, t0, carry)), + ("ccx", (t4, t2, t1)), + ("x", (t4,)), + ("ccx", (t5, t6, t4)), + ("ccx", (t5, t2, t1)), + ("ccx", (t1, t0, carry)), + ("ccx", (h, carry, t6)), + ("ccx", (t1, t0, carry)), + ("ccx", (t5, t2, t1)), + ("x", (t1,)), + ("ccx", (t2, t0, carry)), + ("ccx", (h, carry, t5)), + ("ccx", (t2, t0, carry)), + ("x", (t2,)), + ("ccx", (t3, t4, t2)), + ("ccx", (t3, t0, carry)), + ("ccx", (h, carry, t4)), + ("ccx", (t3, t0, carry)), + ("x", (carry,)), + ("ccx", (h, t0, t3)), + ("x", (t0,)), + ("ccx", (t1, t2, t0)), + ("ccx", (h, t1, t2)), + ("ccx", (carry, t0, h)), + ("ccx", (carry, t0, t1)), + ("cx", (carry, t0)), + ] + + +def _emit_one_clean_carry_9( + qc: QuantumCircuit, + target: Sequence[Qubit], + carry: Qubit, + clean_helper: Qubit, + *, + inverse: bool, +) -> None: + ops = _one_clean_carry_9_ops(target, carry, clean_helper) + if inverse: + ops = list(reversed(ops)) + for kind, qubits in ops: + if kind == "x": + qc.x(qubits[0]) + elif kind == "cx": + qc.cx(qubits[0], qubits[1]) + else: + qc.ccx(qubits[0], qubits[1], qubits[2]) + + +def _increment_by_one_clean_carry_9( + qc: QuantumCircuit, + target: Sequence[Qubit], + carry: Qubit, + clean_helper: Qubit, +) -> None: + _emit_one_clean_carry_9( + qc, target, carry, clean_helper, inverse=False, + ) + + +def _decrement_by_one_clean_carry_9( + qc: QuantumCircuit, + target: Sequence[Qubit], + carry: Qubit, + clean_helper: Qubit, +) -> None: + _emit_one_clean_carry_9( + qc, target, carry, clean_helper, inverse=True, + ) + + +def _one_clean_mcx_ops( + controls: Sequence[Qubit], target: Qubit, clean_helper: Qubit, +) -> list[tuple[str, tuple[Qubit, ...]]]: + """Exact CkX using one clean helper and conditionally-clean controls.""" + controls = list(controls) + if len(controls) < 3: + raise ValueError("one-clean MCX kernel requires at least three controls") + lanes = controls + [target, clean_helper] + if len(set(lanes)) != len(lanes): + raise ValueError("one-clean MCX lanes must be distinct") + ladder = [clean_helper] + controls + up_ccx: list[tuple[str, tuple[Qubit, ...]]] = [] + up_x: list[tuple[str, tuple[Qubit, ...]]] = [] + for index in range(0, len(ladder) - 2, 2): + up_ccx.append(( + "ccx", (ladder[index + 1], ladder[index + 2], ladder[index]), + )) + if index: + up_x.append(("x", (ladder[index],))) + + down_ccx: list[tuple[str, tuple[Qubit, ...]]] = [] + down_x: list[tuple[str, tuple[Qubit, ...]]] = [] + if len(ladder) & 1: + x_index, y_index, target_index = ( + len(ladder) - 3, len(ladder) - 5, len(ladder) - 6, + ) + else: + x_index, y_index, target_index = ( + len(ladder) - 1, len(ladder) - 4, len(ladder) - 5, + ) + if target_index > 0: + down_ccx.append(( + "ccx", + (ladder[x_index], ladder[y_index], ladder[target_index]), + )) + down_x.append(("x", (ladder[target_index],))) + for index in range(target_index, 2, -2): + down_ccx.append(( + "ccx", (ladder[index], ladder[index - 1], ladder[index - 2]), + )) + down_x.append(("x", (ladder[index - 2],))) + + forward = up_ccx + up_x + down_x + down_ccx + second_control = 1 + max(0, 6 - len(ladder)) + middle = [("ccx", (clean_helper, ladder[second_control], target))] + return forward + middle + list(reversed(forward)) + + +def _one_clean_mcx_9_ops( + controls: Sequence[Qubit], target: Qubit, clean_helper: Qubit, +) -> list[tuple[str, tuple[Qubit, ...]]]: + if len(controls) != 9: + raise ValueError("one-clean MCX wrapper requires nine controls") + return _one_clean_mcx_ops(controls, target, clean_helper) + + +def _toggle_one_clean_mcx( + qc: QuantumCircuit, + controls: Sequence[Qubit], + target: Qubit, + clean_helper: Qubit, +) -> None: + for kind, qubits in _one_clean_mcx_ops( + controls, target, clean_helper, + ): + if kind == "x": + qc.x(qubits[0]) + else: + qc.ccx(qubits[0], qubits[1], qubits[2]) + + +def _toggle_one_clean_mcx_9( + qc: QuantumCircuit, + controls: Sequence[Qubit], + target: Qubit, + clean_helper: Qubit, +) -> None: + if len(controls) != 9: + raise ValueError("one-clean MCX wrapper requires nine controls") + _toggle_one_clean_mcx(qc, controls, target, clean_helper) + + +def _add_dirty_carry( + qc: QuantumCircuit, + target: Sequence[Qubit], + addend: Sequence[Qubit], + carry: Qubit, + clean_helper: Optional[Qubit] = None, +) -> None: + _dirty_carry_add_raw(qc, target, addend, carry) + _decrement_by_dirty_carry( + qc, target, addend, carry, clean_helper=clean_helper, + ) + + +def _sub_dirty_carry( + qc: QuantumCircuit, + target: Sequence[Qubit], + addend: Sequence[Qubit], + carry: Qubit, + clean_helper: Optional[Qubit] = None, +) -> None: + for lane in target: + qc.x(lane) + _dirty_carry_add_raw(qc, target, addend, carry) + for lane in target: + qc.x(lane) + _increment_by_dirty_carry( + qc, target, addend, carry, clean_helper=clean_helper, + ) + + +def _increment_dirty( + qc: QuantumCircuit, + register: Sequence[Qubit], + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + register = list(register) + for bit in range(len(register) - 1, 0, -1): + _mcx_dirty_ladder( + qc, register[:bit], register[bit], dirty, + clean_helper=clean_helper, + ) + qc.x(register[0]) + + +def _decrement_dirty( + qc: QuantumCircuit, + register: Sequence[Qubit], + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + register = list(register) + qc.x(register[0]) + for bit in range(1, len(register)): + _mcx_dirty_ladder( + qc, register[:bit], register[bit], dirty, + clean_helper=clean_helper, + ) + + +def _add_const_dirty( + qc: QuantumCircuit, + register: Sequence[Qubit], + constant: int, + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + register = list(register) + for bit in range(len(register)): + if (constant >> bit) & 1: + _increment_dirty( + qc, register[bit:], dirty, clean_helper=clean_helper, + ) + + +def _sub_const_dirty( + qc: QuantumCircuit, + register: Sequence[Qubit], + constant: int, + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + register = list(register) + for bit in range(len(register) - 1, -1, -1): + if (constant >> bit) & 1: + _decrement_dirty( + qc, register[bit:], dirty, clean_helper=clean_helper, + ) + + +def _const_minus_dirty( + qc: QuantumCircuit, + register: Sequence[Qubit], + constant: int, + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Apply y -> constant-y modulo 2**len(register), exactly involutively.""" + for lane in register: + qc.x(lane) + _add_const_dirty( + qc, register, constant + 1, dirty, clean_helper=clean_helper, + ) + + +def _toggle_raw_controls_dirty(qc: QuantumCircuit, controls: Sequence[Qubit], + target: Qubit, dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None) -> None: + """Toggle a target by raw controls, restoring arbitrary dirty lenders.""" + controls = list(controls) + if target in controls: + raise ValueError("raw-control target aliases a control") + if len(controls) == 1: + qc.cx(controls[0], target) + elif len(controls) == 2: + qc.ccx(controls[0], controls[1], target) + elif ( + clean_helper is not None + and clean_helper != target + and clean_helper not in controls + ): + _toggle_one_clean_mcx(qc, controls, target, clean_helper) + elif len(controls) == 3: + if not dirty: + raise ValueError("raw C3X needs one dirty lender") + _borrowed_c3x( + qc, controls[0], controls[1], controls[2], target, dirty[0], + ) + else: + _mcx_dirty_ladder( + qc, controls, target, dirty, clean_helper=clean_helper, + ) + + +def _toggle_raw_controls_conditionally_clean( + qc: QuantumCircuit, + controls: Sequence[Qubit], + target: Qubit, + dirty: Sequence[Qubit], + clean_helper: Qubit, +) -> None: + """Toggle by raw controls when helper=0 only on live-control branches. + + ``controls[0]`` is kept out of the one-clean ladder and added to its sole + target-changing midpoint. The surrounding ladder is an exact palindrome, + so an arbitrary helper on inactive branches is restored without touching + the target. On live branches the helper is clean and this is the usual + exact one-clean MCX. + """ + controls = list(controls) + if len(controls) < 4: + raise ValueError("conditional-clean raw MCX needs at least four controls") + if not dirty: + raise ValueError("conditional-clean raw MCX needs one dirty lender") + live_ctrl = controls[0] + tail = controls[1:] + ops = _one_clean_mcx_ops(tail, target, clean_helper) + target_ops = [ + index for index, (_, qubits) in enumerate(ops) if target in qubits + ] + if len(target_ops) != 1: + raise AssertionError("one-clean MCX must have one target midpoint") + midpoint = target_ops[0] + for index, (kind, qubits) in enumerate(ops): + if index == midpoint: + if kind != "ccx" or qubits[2] != target: + raise AssertionError("unexpected one-clean MCX midpoint") + _borrowed_c3x( + qc, live_ctrl, qubits[0], qubits[1], target, dirty[0], + ) + elif kind == "x": + qc.x(qubits[0]) + else: + qc.ccx(qubits[0], qubits[1], qubits[2]) + + +def _apply_cell_raw_conditionally_clean( + qc: QuantumCircuit, + mode: Literal["add", "sub"], + pass_kind: Literal["first", "second"], + controls: Sequence[Qubit], + addend: Qubit, + target: Qubit, + carry: Qubit, + dirty: Sequence[Qubit], + clean_helper: Qubit, +) -> None: + controls = list(controls) + + def toggle(extra: Sequence[Qubit], out: Qubit) -> None: + _toggle_raw_controls_conditionally_clean( + qc, controls + list(extra), out, dirty, clean_helper, + ) + + def cmaj() -> None: + toggle([addend], target) + toggle([addend], carry) + toggle([carry, target], addend) + + def cuma() -> None: + toggle([carry, target], addend) + toggle([addend], carry) + toggle([carry], target) + + def cmaj_inv() -> None: + toggle([carry, target], addend) + toggle([addend], carry) + toggle([addend], target) + + def cuma_inv() -> None: + toggle([carry], target) + toggle([addend], carry) + toggle([carry, target], addend) + + table = { + ("add", "first"): cmaj, + ("add", "second"): cuma, + ("sub", "first"): cuma_inv, + ("sub", "second"): cmaj_inv, + } + try: + table[(mode, pass_kind)]() + except KeyError as exc: + raise ValueError("bad conditional-clean arithmetic cell mode/pass") from exc + + +def _apply_cell_borrowed(qc: QuantumCircuit, mode: Literal["add", "sub"], + pass_kind: Literal["first", "second"], ctrl: Qubit, + addend: Qubit, target: Qubit, carry: Qubit, + borrowed: Qubit) -> None: + def cmaj() -> None: + qc.ccx(ctrl, addend, target) + qc.ccx(ctrl, addend, carry) + _borrowed_c3x(qc, ctrl, carry, target, addend, borrowed) + + def cuma() -> None: + _borrowed_c3x(qc, ctrl, carry, target, addend, borrowed) + qc.ccx(ctrl, addend, carry) + qc.ccx(ctrl, carry, target) + + def cmaj_inv() -> None: + _borrowed_c3x(qc, ctrl, carry, target, addend, borrowed) + qc.ccx(ctrl, addend, carry) + qc.ccx(ctrl, addend, target) + + def cuma_inv() -> None: + qc.ccx(ctrl, carry, target) + qc.ccx(ctrl, addend, carry) + _borrowed_c3x(qc, ctrl, carry, target, addend, borrowed) + + table = { + ("add", "first"): cmaj, + ("add", "second"): cuma, + ("sub", "first"): cuma_inv, + ("sub", "second"): cmaj_inv, + } + try: + table[(mode, pass_kind)]() + except KeyError as exc: + raise ValueError("bad borrowed arithmetic cell mode/pass") from exc + + +def _apply_cell_raw( + qc: QuantumCircuit, + mode: Literal["add", "sub"], + pass_kind: Literal["first", "second"], + controls: Sequence[Qubit], + addend: Qubit, + target: Qubit, + carry: Qubit, + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Arithmetic cell under an unmaterialized equality product.""" + controls = list(controls) + + def toggle(extra: Sequence[Qubit], out: Qubit) -> None: + _toggle_raw_controls_dirty( + qc, controls + list(extra), out, dirty, + clean_helper=clean_helper, + ) + + def cmaj() -> None: + toggle([addend], target) + toggle([addend], carry) + toggle([carry, target], addend) + + def cuma() -> None: + toggle([carry, target], addend) + toggle([addend], carry) + toggle([carry], target) + + def cmaj_inv() -> None: + toggle([carry, target], addend) + toggle([addend], carry) + toggle([addend], target) + + def cuma_inv() -> None: + toggle([carry], target) + toggle([addend], carry) + toggle([carry, target], addend) + + table = { + ("add", "first"): cmaj, + ("add", "second"): cuma, + ("sub", "first"): cuma_inv, + ("sub", "second"): cmaj_inv, + } + try: + table[(mode, pass_kind)]() + except KeyError as exc: + raise ValueError("bad raw arithmetic cell mode/pass") from exc + + +def _apply_cell_clean_hmr(qc: QuantumCircuit, mode: Literal["add", "sub"], + pass_kind: Literal["first", "second"], ctrl: Qubit, + addend: Qubit, target: Qubit, carry: Qubit, + clean_temp: Qubit) -> None: + def cmaj() -> None: + qc.ccx(ctrl, addend, target) + qc.ccx(ctrl, addend, carry) + _clean_c3x_mbu(qc, ctrl, carry, target, addend, clean_temp) + + def cuma() -> None: + _clean_c3x_mbu(qc, ctrl, carry, target, addend, clean_temp) + qc.ccx(ctrl, addend, carry) + qc.ccx(ctrl, carry, target) + + def cmaj_inv() -> None: + _clean_c3x_mbu(qc, ctrl, carry, target, addend, clean_temp) + qc.ccx(ctrl, addend, carry) + qc.ccx(ctrl, addend, target) + + def cuma_inv() -> None: + qc.ccx(ctrl, carry, target) + qc.ccx(ctrl, addend, carry) + _clean_c3x_mbu(qc, ctrl, carry, target, addend, clean_temp) + + table = { + ("add", "first"): cmaj, + ("add", "second"): cuma, + ("sub", "first"): cuma_inv, + ("sub", "second"): cmaj_inv, + } + try: + table[(mode, pass_kind)]() + except KeyError as exc: + raise ValueError("bad clean-HMR arithmetic cell mode/pass") from exc + + +def _apply_r_fused_second_cell_borrowed( + qc: QuantumCircuit, + *, + mode: Qubit, + ctrl: Qubit, + addend: Qubit, + target: Qubit, + carry: Qubit, + borrowed: Qubit, +) -> None: + """Finish R subtraction or undo its first half, selected by ``mode``. + + ``mode=0`` is the normal controlled-MAJ inverse second subtraction cell. + ``mode=1`` is controlled-UMA, the inverse of the first subtraction cell. + The two Fredkins restore ``addend`` and ``carry`` for arbitrary basis + states, including inactive cells and arbitrary borrowed workspace. + """ + _borrowed_c3x(qc, ctrl, carry, target, addend, borrowed) + qc.ccx(ctrl, addend, carry) + _e.cswap_toffoli(qc, mode, addend, carry) + qc.ccx(ctrl, addend, target) + _e.cswap_toffoli(qc, mode, addend, carry) + + +def _apply_r_fused_second_cell_raw( + qc: QuantumCircuit, + *, + mode: Qubit, + controls: Sequence[Qubit], + addend: Qubit, + target: Qubit, + carry: Qubit, + dirty: Sequence[Qubit], + clean_helper: Optional[Qubit] = None, +) -> None: + """Raw-control form of the fused R second-scan cell.""" + controls = list(controls) + _toggle_raw_controls_dirty( + qc, controls + [carry, target], addend, dirty, + clean_helper=clean_helper, + ) + _toggle_raw_controls_dirty( + qc, controls + [addend], carry, dirty, + clean_helper=clean_helper, + ) + _e.cswap_toffoli(qc, mode, addend, carry) + _toggle_raw_controls_dirty( + qc, controls + [addend], target, dirty, + clean_helper=clean_helper, + ) + _e.cswap_toffoli(qc, mode, addend, carry) + + +def _borrowed_swap_unless_both( + qc: QuantumCircuit, + *, + left_control: Qubit, + right_control: Qubit, + left: Qubit, + right: Qubit, + borrowed: Qubit, +) -> None: + """Swap unless both controls are one, restoring an arbitrary lender.""" + qc.cx(right, left) + qc.cx(left, right) + qc.cx(right, left) + _borrowed_c2swap( + qc, left_control, right_control, left, right, borrowed, + ) + + +def _apply_r_fused_second_cell_implicit_mode_borrowed( + qc: QuantumCircuit, + *, + phase2: Qubit, + sign: Qubit, + ctrl: Qubit, + addend: Qubit, + target: Qubit, + carry: Qubit, + borrowed: Qubit, +) -> None: + """Fused R second cell with mode = NOT(phase2 AND sign).""" + _borrowed_c3x(qc, ctrl, carry, target, addend, borrowed) + qc.ccx(ctrl, addend, carry) + _borrowed_swap_unless_both( + qc, left_control=phase2, right_control=sign, + left=addend, right=carry, borrowed=borrowed, + ) + qc.ccx(ctrl, addend, target) + _borrowed_swap_unless_both( + qc, left_control=phase2, right_control=sign, + left=addend, right=carry, borrowed=borrowed, + ) + + +def _apply_r_fused_second_cell_implicit_mode_conditionally_clean( + qc: QuantumCircuit, + *, + phase2: Qubit, + sign: Qubit, + controls: Sequence[Qubit], + addend: Qubit, + target: Qubit, + carry: Qubit, + dirty: Sequence[Qubit], + clean_helper: Qubit, +) -> None: + """Raw-control fused R second cell with an implicit restore mode.""" + controls = list(controls) + + def toggle(extra: Sequence[Qubit], out: Qubit) -> None: + _toggle_raw_controls_conditionally_clean( + qc, controls + list(extra), out, dirty, clean_helper, + ) + + toggle([carry, target], addend) + toggle([addend], carry) + _borrowed_swap_unless_both( + qc, left_control=phase2, right_control=sign, + left=addend, right=carry, borrowed=dirty[0], + ) + toggle([addend], target) + _borrowed_swap_unless_both( + qc, left_control=phase2, right_control=sign, + left=addend, right=carry, borrowed=dirty[0], + ) + + +def _apply_r_fused_second_cell_implicit_mode_raw( + qc: QuantumCircuit, + *, + phase2: Qubit, + sign: Qubit, + controls: Sequence[Qubit], + addend: Qubit, + target: Qubit, + carry: Qubit, + dirty: Sequence[Qubit], +) -> None: + """Dirty-ladder form of the fused R cell with implicit restore mode.""" + controls = list(controls) + + def toggle(extra: Sequence[Qubit], out: Qubit) -> None: + _toggle_raw_controls_dirty( + qc, controls + list(extra), out, dirty, + ) + + toggle([carry, target], addend) + toggle([addend], carry) + _borrowed_swap_unless_both( + qc, left_control=phase2, right_control=sign, + left=addend, right=carry, borrowed=dirty[0], + ) + toggle([addend], target) + _borrowed_swap_unless_both( + qc, left_control=phase2, right_control=sign, + left=addend, right=carry, borrowed=dirty[0], + ) + + +def _apply_r_fused_second_cell_clean_hmr( + qc: QuantumCircuit, + *, + mode: Qubit, + ctrl: Qubit, + addend: Qubit, + target: Qubit, + carry: Qubit, + clean_temp: Qubit, +) -> None: + """Finish subtraction or undo its first half with a restored clean lane.""" + _clean_c3x_mbu(qc, ctrl, carry, target, addend, clean_temp) + qc.ccx(ctrl, addend, carry) + _e.cswap_toffoli(qc, mode, addend, carry) + qc.ccx(ctrl, addend, target) + _e.cswap_toffoli(qc, mode, addend, carry) + + +def _toggle_live_r_phase2_mode( + qc: QuantumCircuit, + *, + ctrl: Qubit, + mode: Qubit, + phase2: Qubit, + l_q: Sequence[Qubit], + dirty: Sequence[Qubit], + inverse: bool = False, +) -> None: + """Move live-R Phase2 into/out of Mode after the sentinel/T-add map.""" + marker = l_q[LQ_WIDTH - 1] + + def toggle_low_domain() -> None: + qc.x(marker) + qc.ccx(ctrl, marker, mode) + qc.x(marker) + + def toggle_swapped_255() -> None: + qc.ccx(ctrl, phase2, mode) + + def clear_or_restore_swapped_255_phase() -> None: + _borrowed_c3x(qc, ctrl, mode, marker, phase2, dirty[0]) + + if not inverse: + toggle_low_domain() + toggle_swapped_255() + clear_or_restore_swapped_255_phase() + else: + clear_or_restore_swapped_255_phase() + toggle_swapped_255() + toggle_low_domain() + + +@lru_cache(maxsize=None) +def compact_lc_swap_gate(*, k: int, K: int, + name: str = "LC_SWAP_COMPACT") -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + Ctrl = QuantumRegister(1, "Ctrl") + Direction = QuantumRegister(1, "Direction") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M + 1, "Work1") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_q = QuantumRegister(LQ_WIDTH, "l_q") + Dirty = QuantumRegister(7, "DirtyPassenger") + depth = _tight_unary_depth_for_labels(list(range(k, K + 1))) + if depth > 9: + raise ValueError("two-clean LC swap supports decoder depth at most nine") + Scratch = QuantumRegister(2, "Scratch") + qc = _e._block_circuit( + Ctrl, Direction, Sign, Work1, l_t, l_q, Dirty, Scratch, name=name, + ) + # The Cuccaro carry is clean between the affine add and subtract. Reuse + # its lifetime as the deepest decoder-path lane and expose the final seven + # decoder levels directly. Every certified quotient-swap window has + # depth at most nine, so two shared clean lanes suffice. + path_depth = max(0, depth - 7) + path = list(Scratch[:path_depth]) + extension = Dirty[0] + carry = Scratch[1] + qc.append(_e.cuccaro_add_mod_2n_no_z_gate(LQ_WIDTH, name="ADD_lt8_to_lq9"), + list(l_t) + [extension] + list(l_q) + [carry]) + qc.cx(extension, l_q[LQ_WIDTH - 1]) + _add_const_dirty( + qc, l_q, 3, list(Dirty) + list(Work1[:2]), clean_helper=carry, + ) + + def leaf(j: int, controls: Sequence[Qubit]) -> None: + # Direction selects exactly one adjacent lane. Select it into the + # upper slot, apply one common equality-controlled swap with Sign, + # then undo the selection. This is basis-state exact and removes + # Direction from the expensive raw-control product. + low = Work1[j - k] + high = Work1[j - k + 1] + _e.cswap_toffoli(qc, Direction[0], low, high) + _dirty_mcswap( + qc, + controls, + Sign[0], + high, + Dirty, + clean_helper=carry, + ) + _e.cswap_toffoli(qc, Direction[0], low, high) + + unary_iteration_dirty_128raw( + qc, index_reg=l_q, labels=list(range(k, K + 1)), ctrl=Ctrl[0], + ancillas=path, leaf_fn=leaf, order="inc", + ) + _sub_const_dirty( + qc, l_q, 3, list(Dirty) + list(Work1[:2]), clean_helper=carry, + ) + qc.cx(extension, l_q[LQ_WIDTH - 1]) + qc.append(_e.cuccaro_sub_mod_2n_no_z_gate(LQ_WIDTH, name="SUB_lt8_from_lq9"), + list(l_t) + [extension] + list(l_q) + [carry]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_interval_addsub_gate(*, n: int, k: int, K: int, + mode: Literal["add", "sub"], sign_update: bool, + target: Literal["work1", "work2"], name: str) -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + Ctrl = QuantumRegister(1, "Ctrl") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_q = QuantumRegister(LQ_WIDTH, "l_q") + l_s = QuantumRegister(LS_WIDTH, "l_s") + Dirty = QuantumRegister(DIRTY_PASSENGER_SIZE, "DirtyPassenger") + Scratch = QuantumRegister(11, "Scratch") + qc = _e._block_circuit(Ctrl, Sign, Work1, Work2, l_t, l_q, l_s, + Dirty, Scratch, name=name) + kg_s = list(Scratch[0:3]) + kg_q = list(Scratch[3:6]) + eq_s = Scratch[6] + eq_q = Scratch[7] + carry = Scratch[8] + acc = Scratch[9] + extension = Scratch[10] + cell_borrowed = Dirty[9] + qc.append(_e.cuccaro_add_mod_2n_no_z_gate(LQ_WIDTH, name="ADD_lt8_to_lq9"), + list(l_t) + [extension] + list(l_q) + [carry]) + affine_scratch = list(Scratch[:8]) + [extension, carry] + _e.add_const_mod_2n(qc, l_q, 4, affine_scratch) + _e.const_minus_inplace(qc, l_s, n + 2, affine_scratch) + # In the modulo-259 encoding ell_s=0 is stored as integer 258. The + # affine endpoint reflection first maps that word to 0, whereas the + # Aux22/v2 signed-sentinel endpoint is physical label 259. This basis + # transposition repairs exactly that case and is its own inverse. + _swap_zero_259_uncontrolled(qc, l_s, extension, list(Scratch[:9])) + + def qpair(j: int) -> tuple[Qubit, Qubit]: + idx = j - k + if target == "work1": + return Work2[idx], Work1[idx] + if target == "work2": + return Work1[idx], Work2[idx] + raise ValueError("bad compact interval target") + + def leaf_first(j: int, sj: Qubit, qj: Qubit) -> None: + addend, tgt = qpair(j) + if j < K: + next_addend, _ = qpair(j + 1) + _apply_cell_borrowed( + qc, mode, "first", acc, addend, tgt, + next_addend, cell_borrowed, + ) + _apply_cell_borrowed( + qc, mode, "first", sj, addend, tgt, carry, cell_borrowed, + ) + qc.cx(sj, acc) + qc.cx(qj, acc) + if sign_update: + qc.ccx(qj, addend, Sign[0]) + + dual_unary_iteration_log_star( + qc, index_a=l_s, index_b=l_q, labels=list(range(k, K + 1)), + ancillas_a=kg_s, ancillas_b=kg_q, flag_a=eq_s, flag_b=eq_q, + common_ctrl=Ctrl[0], clean_temp=extension, + leaf_fn=leaf_first, order="dec", + ) + + def leaf_second(j: int, sj: Qubit, qj: Qubit) -> None: + addend, tgt = qpair(j) + qc.cx(qj, acc) + qc.cx(sj, acc) + if j < K: + next_addend, _ = qpair(j + 1) + _apply_cell_borrowed( + qc, mode, "second", acc, addend, tgt, + next_addend, cell_borrowed, + ) + _apply_cell_borrowed( + qc, mode, "second", sj, addend, tgt, carry, cell_borrowed, + ) + + dual_unary_iteration_log_star( + qc, index_a=l_s, index_b=l_q, labels=list(range(k, K + 1)), + ancillas_a=kg_s, ancillas_b=kg_q, flag_a=eq_s, flag_b=eq_q, + common_ctrl=Ctrl[0], clean_temp=extension, + leaf_fn=leaf_second, order="inc", + ) + _swap_zero_259_uncontrolled(qc, l_s, extension, list(Scratch[:9])) + _e.const_minus_inplace(qc, l_s, n + 2, affine_scratch) + _e.sub_const_mod_2n(qc, l_q, 4, affine_scratch) + qc.append(_e.cuccaro_sub_mod_2n_no_z_gate(LQ_WIDTH, name="SUB_lt8_from_lq9"), + list(l_t) + [extension] + list(l_q) + [carry]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_r_subrestore_fused_gate(*, n: int, k: int, K: int, + name: str = "R_SUBRESTORE_FUSED") -> Gate: + """Two-scan exact R block with a phase-derived clean accumulator. + + The caller maps the live original Phase2 value into Mode and clears Phase2. + Phase2 can therefore replace the eliminated equality-accumulator Aux lane. + Mode remains the original phase bit across both scans, so the trusted + implicit restore predicate is unchanged. A controlled sentinel swap plus + compensated ninth affine source preserves the exact original l_q index. + """ + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + Ctrl = QuantumRegister(1, "Ctrl") + Phase2 = QuantumRegister(1, "Phase2") + Mode = QuantumRegister(1, "Mode") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_q = QuantumRegister(LQ_WIDTH, "l_q") + l_s = QuantumRegister(LS_WIDTH, "l_s") + Dirty = QuantumRegister(DIRTY_PASSENGER_SIZE, "DirtyPassenger") + Scratch = QuantumRegister(1, "Scratch") + qc = _e._block_circuit( + Ctrl, Phase2, Mode, Sign, Work1, Work2, l_t, l_q, l_s, + Dirty, Scratch, name=name, + ) + carry = Scratch[0] + acc = Phase2[0] + affine_helper = acc + extension = acc + affine_addend = list(l_t) + [Mode[0]] + + # The outer phase loan swaps physical phase-B l_q labels 255 and 511. + # Mode is the original live Phase2 bit, so this restores the trusted label + # without touching inactive phase-C/D branches. + marker = l_q[LQ_WIDTH - 1] + _toggle_raw_controls_dirty( + qc, [Ctrl[0], Mode[0]] + list(l_q[: LQ_WIDTH - 1]), marker, Dirty, + ) + + # Adding Mode as bit eight and then XORing bit eight cancels exactly modulo + # 512. It supplies an implicit zero extension while Mode remains live. + _add_dirty_carry( + qc, l_q, affine_addend, Dirty[9], clean_helper=affine_helper, + ) + qc.cx(Mode[0], marker) + _add_const_dirty(qc, l_q, 4, Dirty, clean_helper=affine_helper) + _const_minus_dirty(qc, l_s, n + 2, Dirty, clean_helper=affine_helper) + _swap_zero_259_uncontrolled_dirty( + qc, l_s, extension, Dirty, + ) + + def qpair(j: int) -> tuple[Qubit, Qubit]: + idx = j - k + return Work2[idx], Work1[idx] + + def leaf_first( + j: int, + s_controls: Sequence[Qubit], + q_controls: Sequence[Qubit], + ) -> None: + addend, target = qpair(j) + if j < K: + next_addend, _ = qpair(j + 1) + _apply_cell_borrowed( + qc, "sub", "first", acc, addend, target, + next_addend, Dirty[0], + ) + _apply_cell_raw( + qc, "sub", "first", s_controls, addend, target, carry, Dirty, + ) + _toggle_raw_controls_dirty( + qc, s_controls, acc, Dirty, + ) + _toggle_raw_controls_dirty( + qc, q_controls, acc, Dirty, + ) + _toggle_raw_controls_dirty( + qc, list(q_controls) + [addend], Sign[0], Dirty, + ) + + dual_unary_iteration_direct_raw_ab( + qc, index_a=l_s, index_b=l_q, labels=list(range(k, K + 1)), + common_ctrl=Ctrl[0], + leaf_fn=leaf_first, order="dec", + ) + + # This is the exact trusted historical update. Mode is original Phase2. + qc.ccx(Ctrl[0], Mode[0], Sign[0]) + + def leaf_second( + j: int, + s_controls: Sequence[Qubit], + q_controls: Sequence[Qubit], + ) -> None: + addend, target = qpair(j) + _toggle_raw_controls_dirty( + qc, q_controls, acc, Dirty, + ) + _toggle_raw_controls_dirty( + qc, s_controls, acc, Dirty, + ) + if j < K: + next_addend, _ = qpair(j + 1) + _apply_r_fused_second_cell_implicit_mode_borrowed( + qc, phase2=Mode[0], sign=Sign[0], ctrl=acc, + addend=addend, target=target, carry=next_addend, + borrowed=Dirty[0], + ) + _apply_r_fused_second_cell_implicit_mode_raw( + qc, phase2=Mode[0], sign=Sign[0], controls=s_controls, + addend=addend, + target=target, carry=carry, dirty=Dirty, + ) + + dual_unary_iteration_direct_raw_ab( + qc, index_a=l_s, index_b=l_q, labels=list(range(k, K + 1)), + common_ctrl=Ctrl[0], + leaf_fn=leaf_second, order="inc", + ) + + _swap_zero_259_uncontrolled_dirty( + qc, l_s, extension, Dirty, + ) + _const_minus_dirty(qc, l_s, n + 2, Dirty, clean_helper=affine_helper) + _sub_const_dirty(qc, l_q, 4, Dirty, clean_helper=affine_helper) + qc.cx(Mode[0], marker) + _sub_dirty_carry( + qc, l_q, affine_addend, Dirty[9], clean_helper=affine_helper, + ) + + _toggle_raw_controls_dirty( + qc, [Ctrl[0], Mode[0]] + list(l_q[: LQ_WIDTH - 1]), marker, Dirty, + ) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_prefix_addsub_gate(*, k: int, K: int, + mode: Literal["add", "sub"], sign_update: bool, + capture_borrow_sign: bool, + target: Literal["work1", "work2"], name: str) -> Gate: + if k > K: + raise ValueError("need k <= K") + if k != 1 or K > 257: + raise ValueError("compact T prefix is certified for physical labels 1..257") + if sign_update: + raise ValueError("compact T prefix sign update must use selected midpoint capture") + if capture_borrow_sign: + raise ValueError("compact T prefix retained-tail mode is not used by this route") + M = K - k + 1 + Ctrl = QuantumRegister(1, "Ctrl") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + Borrowed = QuantumRegister(5, "Borrowed") + # l_t is stored as truth-minus-one. Keep it unmodified and decode + # residues x=0..K-2 as physical cells j=x+2. Physical cell 1 is the + # unconditional lower boundary and is emitted explicitly. + encoded_labels = list(range(0, K - 1)) + depth = _tight_unary_depth_for_labels(encoded_labels) + path_depth = max(0, depth - 7) + base = max(path_depth, 1) + Scratch = QuantumRegister(base + 2, "Scratch") + qc = _e._block_circuit(Ctrl, Sign, Work1, Work2, l_t, + Borrowed, Scratch, name=name) + path = list(Scratch[:path_depth]) + carry = Scratch[base] + acc = Scratch[base + 1] + + def qpair(j: int) -> tuple[Qubit, Qubit]: + idx = j - k + if target == "work1": + return Work2[idx], Work1[idx] + if target == "work2": + return Work1[idx], Work2[idx] + raise ValueError("bad compact prefix target") + + def leaf_first(encoded: int, ej: Qubit) -> None: + j = encoded + 2 + addend, tgt = qpair(j) + previous_addend, _ = qpair(j - 1) + _apply_cell_borrowed( + qc, mode, "first", acc, addend, tgt, + previous_addend, Borrowed[0], + ) + + qc.cx(Ctrl[0], acc) + addend1, tgt1 = qpair(1) + # Scratch[0] is clean outside the unary tree, so the boundary cell uses + # the clean MBU C3X lowering and returns it to zero before the tree starts. + _apply_cell_dirty( + qc, mode, "first", Ctrl[0], addend1, tgt1, carry, Scratch[0], + ) + if encoded_labels: + unary_range_iteration_dirty_128raw( + qc, index_reg=l_t, labels=encoded_labels, ctrl=Ctrl[0], + range_acc=acc, ancillas=path, + borrowed=[Sign[0]] + list(Borrowed), + leaf_fn=leaf_first, order="inc", + toggle_before_leaf=False, + ) + + def leaf_second(encoded: int, ej: Qubit) -> None: + j = encoded + 2 + addend, tgt = qpair(j) + previous_addend, _ = qpair(j - 1) + _apply_cell_borrowed( + qc, mode, "second", acc, addend, tgt, + previous_addend, Borrowed[0], + ) + + if encoded_labels: + unary_range_iteration_dirty_128raw( + qc, index_reg=l_t, labels=encoded_labels, ctrl=Ctrl[0], + range_acc=acc, ancillas=path, + borrowed=[Sign[0]] + list(Borrowed), + leaf_fn=leaf_second, order="dec", + toggle_before_leaf=True, + ) + _apply_cell_dirty( + qc, mode, "second", Ctrl[0], addend1, tgt1, carry, Scratch[0], + ) + qc.cx(Ctrl[0], acc) + return _e._finalize_block(qc) + + +def _apply_not_factor_with_borrowed(qc: QuantumCircuit, *, boundary_control: Qubit, + data_bit: Qubit, neighbor: Optional[Qubit], + target: Qubit, borrowed: Qubit) -> None: + """Apply X or neighbor-controlled X under NOT(boundary_control & data_bit).""" + if neighbor is None: + qc.x(target) + qc.cx(borrowed, target) + qc.ccx(boundary_control, data_bit, borrowed) + qc.cx(borrowed, target) + qc.ccx(boundary_control, data_bit, borrowed) + else: + qc.cx(neighbor, target) + qc.ccx(borrowed, neighbor, target) + qc.ccx(boundary_control, data_bit, borrowed) + qc.ccx(borrowed, neighbor, target) + qc.ccx(boundary_control, data_bit, borrowed) + + +def _apply_not_factor_with_clean(qc: QuantumCircuit, *, boundary_control: Qubit, + data_bit: Qubit, neighbor: Optional[Qubit], + target: Qubit, clean_temp: Qubit) -> None: + """Apply the upper-zero factor with one clean, phase-clean HMR lane.""" + if neighbor is None: + qc.x(target) + qc.ccx(boundary_control, data_bit, target) + else: + qc.cx(neighbor, target) + _dirty_c3x( + qc, boundary_control, data_bit, neighbor, target, clean_temp, + ) + + +def _apply_not_factor_with_conditional_zero( + qc: QuantumCircuit, + *, + boundary_control: Qubit, + data_bit: Qubit, + neighbor: Optional[Qubit], + target: Qubit, + conditional_zero: Qubit, +) -> None: + """Upper-zero factor when helper=0 on boundary_control=1 branches. + + Placing ``boundary_control`` on the final Toffoli makes the arbitrary + helper value irrelevant when the boundary is zero. On the active branch + the promised zero helper gives the exact three-Toffoli control product; + the two outer Toffolis restore it with no measurement or phase contract. + """ + if neighbor is None: + qc.x(target) + qc.ccx(boundary_control, data_bit, target) + else: + qc.cx(neighbor, target) + qc.ccx(data_bit, neighbor, conditional_zero) + qc.ccx(boundary_control, conditional_zero, target) + qc.ccx(data_bit, neighbor, conditional_zero) + + +def _toggle_four_controls_conditional_zero( + qc: QuantumCircuit, + *, + controls: Sequence[Qubit], + target: Qubit, + conditional_zero: Qubit, + borrowed: Qubit, +) -> None: + """Exact C4X using a helper that is zero whenever controls[0] is one.""" + controls = list(controls) + if len(controls) != 4: + raise ValueError("conditional-zero toggle requires four controls") + guard, left, right, final = controls + lanes = controls + [target, conditional_zero, borrowed] + if len(set(lanes)) != len(lanes): + raise ValueError("conditional-zero C4X lanes must be distinct") + # If guard=1, conditional_zero starts at zero and receives left&right. + # If guard=0 its arbitrary entry value cannot reach target. The exact + # borrowed C3X and closing Toffoli restore both workspace lanes. + qc.ccx(left, right, conditional_zero) + _borrowed_c3x( + qc, guard, final, conditional_zero, target, borrowed, + ) + qc.ccx(left, right, conditional_zero) + + +def _range_scan_tight(qc: QuantumCircuit, *, leq: bool, + boundary: Sequence[Qubit], k: int, K: int, + ctrl: Qubit, range_acc: Qubit, + path: Sequence[Qubit], leaf_fn, + order: Literal["inc", "dec"]) -> None: + labels = list(range(k, K + 1)) + if leq and order == "inc": + qc.cx(ctrl, range_acc) + def wrapped(j: int, ej: Qubit) -> None: + leaf_fn(j, range_acc) + qc.cx(ej, range_acc) + unary_iteration_tight(qc, index_reg=boundary, labels=labels, ctrl=ctrl, + ancillas=path, leaf_fn=wrapped, order=order) + elif leq and order == "dec": + def wrapped(j: int, ej: Qubit) -> None: + qc.cx(ej, range_acc) + leaf_fn(j, range_acc) + unary_iteration_tight(qc, index_reg=boundary, labels=labels, ctrl=ctrl, + ancillas=path, leaf_fn=wrapped, order=order) + qc.cx(ctrl, range_acc) + elif not leq and order == "inc": + def wrapped(j: int, ej: Qubit) -> None: + qc.cx(ej, range_acc) + leaf_fn(j, range_acc) + unary_iteration_tight(qc, index_reg=boundary, labels=labels, ctrl=ctrl, + ancillas=path, leaf_fn=wrapped, order=order) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + def wrapped(j: int, ej: Qubit) -> None: + leaf_fn(j, range_acc) + qc.cx(ej, range_acc) + unary_iteration_tight(qc, index_reg=boundary, labels=labels, ctrl=ctrl, + ancillas=path, leaf_fn=wrapped, order=order) + else: + raise ValueError("bad tight range-scan order") + + +def _range_scan_tight_direct(qc: QuantumCircuit, *, leq: bool, + boundary: Sequence[Qubit], k: int, K: int, + ctrl: Qubit, scratch: Sequence[Qubit], leaf_fn, + order: Literal["inc", "dec"]) -> None: + """Tight inclusive range scan using one fewer clean decoder lane.""" + labels = list(range(k, K + 1)) + depth = _tight_unary_depth_for_labels(labels) + path_depth = max(0, depth - 1) + required = path_depth + 1 + if len(scratch) < required: + raise ValueError( + f"direct tight range scan needs {required} lanes, got {len(scratch)}" + ) + path = list(scratch[:path_depth]) + range_acc = scratch[path_depth] + + def scan(*, toggle_before_leaf: bool) -> None: + unary_range_iteration_direct_leaf( + qc, + index_reg=boundary, + labels=labels, + ctrl=ctrl, + range_acc=range_acc, + ancillas=path, + leaf_fn=leaf_fn, + order=order, + toggle_before_leaf=toggle_before_leaf, + ) + + if leq and order == "inc": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + elif leq and order == "dec": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "inc": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + else: + raise ValueError("bad direct tight range-scan order") + + +def _range_scan_tight_dirty_quartet( + qc: QuantumCircuit, + *, + leq: bool, + boundary: Sequence[Qubit], + k: int, + K: int, + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Qubit, + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Tight inclusive range scan with at most eight clean lanes.""" + labels = list(range(k, K + 1)) + depth = _tight_unary_depth_for_labels(labels) + path_depth = max(0, depth - 2) + required = path_depth + 1 + if len(scratch) < required: + raise ValueError( + f"dirty-quartet tight range scan needs {required} lanes, " + f"got {len(scratch)}" + ) + path = list(scratch[:path_depth]) + range_acc = scratch[path_depth] + + def scan(*, toggle_before_leaf: bool) -> None: + unary_range_iteration_dirty_quartet( + qc, + index_reg=boundary, + labels=labels, + ctrl=ctrl, + range_acc=range_acc, + ancillas=path, + borrowed=borrowed, + leaf_fn=leaf_fn, + order=order, + toggle_before_leaf=toggle_before_leaf, + ) + + if leq and order == "inc": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + elif leq and order == "dec": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "inc": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + else: + raise ValueError("bad dirty-quartet tight range-scan order") + + +def _range_scan_tight_dirty_octet( + qc: QuantumCircuit, + *, + leq: bool, + boundary: Sequence[Qubit], + k: int, + K: int, + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], + equality_guards: Sequence[Qubit] = (), +) -> None: + """Tight inclusive range scan with one fewer clean path lane.""" + labels = list(range(k, K + 1)) + depth = _tight_unary_depth_for_labels(labels) + path_depth = max(0, depth - 3) + required = path_depth + 1 + if len(scratch) < required: + raise ValueError( + f"dirty-octet tight range scan needs {required} lanes, " + f"got {len(scratch)}" + ) + path = list(scratch[:path_depth]) + range_acc = scratch[path_depth] + + def scan(*, toggle_before_leaf: bool) -> None: + unary_range_iteration_dirty_octet( + qc, + index_reg=boundary, + labels=labels, + ctrl=ctrl, + range_acc=range_acc, + ancillas=path, + borrowed=borrowed, + leaf_fn=leaf_fn, + order=order, + toggle_before_leaf=toggle_before_leaf, + equality_guards=equality_guards, + ) + + if leq and order == "inc": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + elif leq and order == "dec": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "inc": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + else: + raise ValueError("bad dirty-octet tight range-scan order") + + +def _range_scan_tight_dirty_hexadecet( + qc: QuantumCircuit, + *, + leq: bool, + boundary: Sequence[Qubit], + k: int, + K: int, + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Tight inclusive range scan with four raw endpoint controls.""" + labels = list(range(k, K + 1)) + depth = _tight_unary_depth_for_labels(labels) + path_depth = max(0, depth - 4) + required = path_depth + 1 + if len(scratch) < required: + raise ValueError( + f"dirty-hexadecet tight range scan needs {required} lanes, " + f"got {len(scratch)}" + ) + path = list(scratch[:path_depth]) + range_acc = scratch[path_depth] + + def scan(*, toggle_before_leaf: bool) -> None: + unary_range_iteration_dirty_hexadecet( + qc, + index_reg=boundary, + labels=labels, + ctrl=ctrl, + range_acc=range_acc, + ancillas=path, + borrowed=borrowed, + leaf_fn=leaf_fn, + order=order, + toggle_before_leaf=toggle_before_leaf, + ) + + if leq and order == "inc": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + elif leq and order == "dec": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "inc": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + else: + raise ValueError("bad dirty-hexadecet tight range-scan order") + + +def _range_scan_tight_dirty_32raw( + qc: QuantumCircuit, + *, + leq: bool, + boundary: Sequence[Qubit], + k: int, + K: int, + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Tight inclusive range scan with five raw endpoint controls.""" + labels = list(range(k, K + 1)) + depth = _tight_unary_depth_for_labels(labels) + path_depth = max(0, depth - 5) + required = path_depth + 1 + if len(scratch) < required: + raise ValueError( + f"dirty-32raw tight range scan needs {required} lanes, " + f"got {len(scratch)}" + ) + path = list(scratch[:path_depth]) + range_acc = scratch[path_depth] + + def scan(*, toggle_before_leaf: bool) -> None: + unary_range_iteration_dirty_32raw( + qc, + index_reg=boundary, + labels=labels, + ctrl=ctrl, + range_acc=range_acc, + ancillas=path, + borrowed=borrowed, + leaf_fn=leaf_fn, + order=order, + toggle_before_leaf=toggle_before_leaf, + ) + + if leq and order == "inc": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + elif leq and order == "dec": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "inc": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + else: + raise ValueError("bad dirty-32raw tight range-scan order") + + +def _range_scan_tight_dirty_64raw( + qc: QuantumCircuit, + *, + leq: bool, + boundary: Sequence[Qubit], + k: int, + K: int, + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Tight inclusive range scan with six raw endpoint controls.""" + labels = list(range(k, K + 1)) + depth = _tight_unary_depth_for_labels(labels) + path_depth = max(0, depth - 6) + required = path_depth + 1 + if len(scratch) < required: + raise ValueError( + f"dirty-64raw tight range scan needs {required} lanes, " + f"got {len(scratch)}" + ) + path = list(scratch[:path_depth]) + range_acc = scratch[path_depth] + + def scan(*, toggle_before_leaf: bool) -> None: + unary_range_iteration_dirty_64raw( + qc, + index_reg=boundary, + labels=labels, + ctrl=ctrl, + range_acc=range_acc, + ancillas=path, + borrowed=borrowed, + leaf_fn=leaf_fn, + order=order, + toggle_before_leaf=toggle_before_leaf, + ) + + if leq and order == "inc": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + elif leq and order == "dec": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "inc": + scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + scan(toggle_before_leaf=False) + else: + raise ValueError("bad dirty-64raw tight range-scan order") + + +def _low256_range_scan_conditioned_hmr(qc: QuantumCircuit, *, + index_reg: Sequence[Qubit], ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], leaf_fn, + order: Literal["inc", "dec"]) -> None: + """Scan labels 0..255 while retaining one clean HMR lane. + + The last decoder bit is applied directly to ``range_acc`` instead of + being materialized. This has the same two-Toffoli cost per label pair as + compute/toggle/uncompute, but it shortens the live decoder path by one. + The freed lane lowers every upper-zero C3X from the exact dirty four-T + construction to the phase-clean two-T HMR construction. + """ + if len(index_reg) != LS_WIDTH: + raise ValueError("conditioned low decoder requires a 9-bit index") + if len(ancillas) < 8: + raise ValueError("conditioned low decoder requires eight clean lanes") + path = list(ancillas[:7]) + clean_temp = ancillas[7] + high = index_reg[8] + bit7 = index_reg[7] + root = path[0] + + qc.x(high) + qc.x(bit7) + _dirty_c3x(qc, ctrl, high, bit7, root, clean_temp) + qc.x(bit7) + qc.x(high) + + def rec(labels: Sequence[int], g: Qubit, depth: int) -> None: + labels = list(labels) + if len(labels) == 2: + low_label, high_label = sorted(labels) + bit = _e._split_bit(labels) + + def toggle_equality(label: int) -> None: + if ((label >> bit) & 1) == 0: + qc.x(index_reg[bit]) + qc.ccx(g, index_reg[bit], range_acc) + if ((label >> bit) & 1) == 0: + qc.x(index_reg[bit]) + + if order == "inc": + leaf_fn(low_label, range_acc, clean_temp) + toggle_equality(low_label) + leaf_fn(high_label, range_acc, clean_temp) + toggle_equality(high_label) + else: + toggle_equality(high_label) + leaf_fn(high_label, range_acc, clean_temp) + toggle_equality(low_label) + leaf_fn(low_label, range_acc, clean_temp) + return + bit = _e._split_bit(labels) + zero = [label for label in labels if ((label >> bit) & 1) == 0] + one = [label for label in labels if ((label >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + low = list(range(0, 128)) + high_labels = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + if order == "inc": + rec(low, root, 1) + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + else: + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + rec(low, root, 1) + + qc.x(high) + qc.x(bit7) + _dirty_c3x(qc, ctrl, high, bit7, root, clean_temp) + qc.x(bit7) + qc.x(high) + + +def _top3_range_scan_valid259(qc: QuantumCircuit, *, + index_reg: Sequence[Qubit], ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], leaf_fn, + order: Literal["inc", "dec"]) -> None: + """Scan 256..258 on the promised modulo-259 endpoint domain.""" + if len(index_reg) != LS_WIDTH: + raise ValueError("top decoder requires a 9-bit index") + if len(ancillas) < 4: + raise ValueError("top decoder requires four clean lanes") + top = ancillas[0] + path = list(ancillas[1:3]) + clean_temp = ancillas[3] + qc.ccx(ctrl, index_reg[8], top) + + def wrapped(encoded: int, equality: Qubit) -> None: + label = encoded + 256 + if order == "inc": + leaf_fn(label, range_acc, clean_temp) + qc.cx(equality, range_acc) + else: + qc.cx(equality, range_acc) + leaf_fn(label, range_acc, clean_temp) + + # On 0..258, high=1 implies bits 2..7 are zero and bits 0..1 encode 0..2. + unary_iteration_tight( + qc, index_reg=index_reg[:2], labels=[0, 1, 2], ctrl=top, + ancillas=path, leaf_fn=wrapped, order=order, + ) + qc.ccx(ctrl, index_reg[8], top) + + +def _range_scan_259_nine(qc: QuantumCircuit, *, + boundary: Sequence[Qubit], ctrl: Qubit, + range_acc: Qubit, path: Sequence[Qubit], + leaf_fn, order: Literal["inc", "dec"]) -> None: + """Run the inclusive 0..boundary range scan with nine clean lanes. + + The low 256 labels stop one level before materialized equality, reserving + the eighth path lane for clean HMR. Labels 256..258 use their exact + promised-domain ternary decoder. On the modulo-259 domain exactly one + equality toggles ``range_acc``. + """ + if len(path) < 8: + raise ValueError("mod-259 range scan requires eight path lanes") + + if order == "inc": + qc.cx(ctrl, range_acc) + _low256_range_scan_conditioned_hmr( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="inc", + ) + _top3_range_scan_valid259( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="inc", + ) + elif order == "dec": + _top3_range_scan_valid259( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="dec", + ) + _low256_range_scan_conditioned_hmr( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="dec", + ) + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad mod-259 range-scan order") + + +def _upper_zero_map_midpoint_nine(qc: QuantumCircuit, *, ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + scratch: Sequence[Qubit]) -> None: + """Apply the 259-bit upper-zero dirty map using nine clean lanes.""" + if len(bits) != 259 or len(dirty_map) != 259: + raise ValueError("midpoint upper-zero map requires 259-bit work registers") + if len(scratch) < 9: + raise ValueError("midpoint upper-zero map requires nine clean lanes") + path = list(scratch[:8]) + range_acc = scratch[8] + + def leaf_forward(j: int, boundary_control: Qubit, + clean_temp: Qubit) -> None: + _apply_not_factor_with_clean( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], clean_temp=clean_temp, + ) + + def leaf_reverse(j: int, boundary_control: Qubit, + clean_temp: Qubit) -> None: + if j < 258: + _apply_not_factor_with_clean( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + clean_temp=clean_temp, + ) + + _range_scan_259_nine( + qc, boundary=boundary_B, ctrl=ctrl, range_acc=range_acc, + path=path, leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_nine( + qc, boundary=boundary_B, ctrl=ctrl, range_acc=range_acc, + path=path, leaf_fn=leaf_reverse, order="dec", + ) + + +def _low256_range_scan_conditioned_borrowed( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + borrowed: Qubit, + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Scan labels 0..255 with seven clean path lanes and one dirty lender.""" + if len(index_reg) != LS_WIDTH: + raise ValueError("borrowed low decoder requires a 9-bit index") + if len(ancillas) < 7: + raise ValueError("borrowed low decoder requires seven clean lanes") + path = list(ancillas[:7]) + high = index_reg[8] + bit7 = index_reg[7] + root = path[0] + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, borrowed) + qc.x(bit7) + qc.x(high) + + def rec(labels: Sequence[int], g: Qubit, depth: int) -> None: + labels = list(labels) + if len(labels) == 2: + low_label, high_label = sorted(labels) + bit = _e._split_bit(labels) + + def toggle_equality(label: int) -> None: + if ((label >> bit) & 1) == 0: + qc.x(index_reg[bit]) + qc.ccx(g, index_reg[bit], range_acc) + if ((label >> bit) & 1) == 0: + qc.x(index_reg[bit]) + + if order == "inc": + leaf_fn(low_label, range_acc) + toggle_equality(low_label) + leaf_fn(high_label, range_acc) + toggle_equality(high_label) + else: + toggle_equality(high_label) + leaf_fn(high_label, range_acc) + toggle_equality(low_label) + leaf_fn(low_label, range_acc) + return + bit = _e._split_bit(labels) + zero = [label for label in labels if ((label >> bit) & 1) == 0] + one = [label for label in labels if ((label >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + low = list(range(0, 128)) + high_labels = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + if order == "inc": + rec(low, root, 1) + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + else: + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + rec(low, root, 1) + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, borrowed) + qc.x(bit7) + qc.x(high) + + +def _top3_range_scan_valid259_borrowed( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Scan labels 256..258 without reserving a clean HMR lane.""" + if len(index_reg) != LS_WIDTH: + raise ValueError("borrowed top decoder requires a 9-bit index") + if len(ancillas) < 3: + raise ValueError("borrowed top decoder requires three clean lanes") + top = ancillas[0] + path = list(ancillas[1:3]) + qc.ccx(ctrl, index_reg[8], top) + + def wrapped(encoded: int, equality: Qubit) -> None: + label = encoded + 256 + if order == "inc": + leaf_fn(label, range_acc) + qc.cx(equality, range_acc) + else: + qc.cx(equality, range_acc) + leaf_fn(label, range_acc) + + unary_iteration_tight( + qc, index_reg=index_reg[:2], labels=[0, 1, 2], ctrl=top, + ancillas=path, leaf_fn=wrapped, order=order, + ) + qc.ccx(ctrl, index_reg[8], top) + + +def _top3_range_scan_valid259_conditional_clean( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + clean_helper: Qubit, + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Scan labels 256..258 using ctrl as a conditional-clean helper.""" + if len(index_reg) != LS_WIDTH: + raise ValueError("conditional-clean top decoder requires a 9-bit index") + if len(ancillas) < 3: + raise ValueError("conditional-clean top decoder requires three clean lanes") + top = ancillas[0] + path = list(ancillas[1:3]) + qc.ccx(ctrl, index_reg[8], top) + + def wrapped(encoded: int, equality: Qubit) -> None: + label = encoded + 256 + if order == "inc": + leaf_fn(label, range_acc, clean_helper) + qc.cx(equality, range_acc) + else: + qc.cx(equality, range_acc) + leaf_fn(label, range_acc, clean_helper) + + qc.x(clean_helper) + unary_iteration_tight( + qc, index_reg=index_reg[:2], labels=[0, 1, 2], ctrl=top, + ancillas=path, leaf_fn=wrapped, order=order, + ) + qc.x(clean_helper) + qc.ccx(ctrl, index_reg[8], top) + + +def _low256_range_scan_conditioned_dirty_seven( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Scan 0..255 with six clean path lanes and restored dirty lenders.""" + if len(index_reg) != LS_WIDTH: + raise ValueError("seven-lane low decoder requires a 9-bit index") + if len(ancillas) < 6: + raise ValueError("seven-lane low decoder requires six path lanes") + if not dirty: + raise ValueError("seven-lane low decoder requires dirty lenders") + path = list(ancillas[:6]) + high = index_reg[8] + bit7 = index_reg[7] + root = path[0] + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def visit(label: int, controls: Sequence[Qubit]) -> None: + if order == "inc": + leaf_fn(label, range_acc) + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + leaf_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 2: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + low = list(range(0, 128)) + high_labels = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + if order == "inc": + rec(low, root, 1) + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + else: + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + rec(low, root, 1) + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + + +def _low256_range_scan_conditioned_dirty_six( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + dirty: Sequence[Qubit], + clean_helper: Qubit, + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Scan 0..255 with five clean path lanes and restored dirty lenders. + + Relative to the official seven-clean-lane decoder, one additional binary + level is left as a raw control. At the leaves this gives at most four raw + controls, for which the existing dirty-control toggle needs two lenders. + """ + if len(index_reg) != LS_WIDTH: + raise ValueError("six-lane low decoder requires a 9-bit index") + if len(ancillas) < 5: + raise ValueError("six-lane low decoder requires five path lanes") + if len(dirty) < 2: + raise ValueError("six-lane low decoder requires two dirty lenders") + path = list(ancillas[:5]) + high = index_reg[8] + bit7 = index_reg[7] + root = path[0] + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def visit(label: int, controls: Sequence[Qubit]) -> None: + def toggle_equality() -> None: + _toggle_four_controls_conditional_zero( + qc, + controls=controls, + target=range_acc, + conditional_zero=clean_helper, + borrowed=dirty[0], + ) + + if order == "inc": + leaf_fn(label, range_acc, clean_helper) + toggle_equality() + else: + toggle_equality() + leaf_fn(label, range_acc, clean_helper) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= 3: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + low = list(range(0, 128)) + high_labels = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + def clean_rec(labels: Sequence[int]) -> None: + # range_acc can be one only when the original ctrl is one. Inverting + # ctrl therefore supplies a zero HMR helper on every active leaf. If + # ctrl was zero, range_acc remains zero and the final-control HMR + # ordering makes the helper value irrelevant. + qc.x(clean_helper) + rec(labels, root, 1) + qc.x(clean_helper) + + if order == "inc": + clean_rec(low) + toggle_root_branch() + clean_rec(high_labels) + toggle_root_branch() + else: + toggle_root_branch() + clean_rec(high_labels) + toggle_root_branch() + clean_rec(low) + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + +def _low256_range_scan_conditioned_dirty_five( + qc: QuantumCircuit, + *, + index_reg: Sequence[Qubit], + ctrl: Qubit, + range_acc: Qubit, + ancillas: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Scan 0..255 with three/four clean path lanes and dirty lenders.""" + if len(index_reg) != LS_WIDTH: + raise ValueError("five-lane low decoder requires a 9-bit index") + if len(ancillas) < 3: + raise ValueError("low decoder requires at least three path lanes") + path_count = min(4, len(ancillas)) + direct_depth = 4 if path_count == 4 else 5 + if len(dirty) < direct_depth - 1: + raise ValueError( + f"low decoder requires {direct_depth - 1} dirty lenders" + ) + path = list(ancillas[:path_count]) + high = index_reg[8] + bit7 = index_reg[7] + root = path[0] + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def visit(label: int, controls: Sequence[Qubit]) -> None: + if order == "inc": + leaf_fn(label, range_acc) + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + leaf_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(index_reg[bit]) + direct(values, list(controls) + [index_reg[bit]]) + if bit_value == 0: + qc.x(index_reg[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth): + if _tight_unary_depth_for_labels(sub_labels) <= direct_depth: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, index_reg[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[bit], h, 0) + + low = list(range(0, 128)) + high_labels = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + if order == "inc": + rec(low, root, 1) + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + else: + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + rec(low, root, 1) + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + +def _range_scan_259_five_dirty( + qc: QuantumCircuit, + *, + boundary: Sequence[Qubit], + ctrl: Qubit, + scratch: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Inclusive modulo-259 scan with four/five clean restored lanes.""" + if len(scratch) < 4: + raise ValueError("dirty mod-259 range scan requires four clean lanes") + path_count = 4 if len(scratch) >= 5 else 3 + path = list(scratch[:path_count]) + range_acc = scratch[path_count] + if order == "inc": + qc.cx(ctrl, range_acc) + _low256_range_scan_conditioned_dirty_five( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, dirty=dirty, leaf_fn=leaf_fn, order="inc", + ) + _top3_range_scan_valid259_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="inc", + ) + elif order == "dec": + _top3_range_scan_valid259_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="dec", + ) + _low256_range_scan_conditioned_dirty_five( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, dirty=dirty, leaf_fn=leaf_fn, order="dec", + ) + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad five-lane mod-259 scan order") + + +def _range_scan_259_four_conditional( + qc: QuantumCircuit, + *, + boundary: Sequence[Qubit], + ctrl: Qubit, + scratch: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Modulo-259 scan using four clean lanes and ctrl as a live-path helper.""" + if len(scratch) < 4: + raise ValueError("conditional mod-259 range scan needs four clean lanes") + path = list(scratch[:3]) + range_acc = scratch[3] + + def low_scan() -> None: + high = boundary[8] + bit7 = boundary[7] + root = path[0] + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def visit(label: int, controls: Sequence[Qubit]) -> None: + if order == "inc": + leaf_fn(label, range_acc, ctrl) + qc.x(ctrl) + _toggle_raw_controls_conditionally_clean( + qc, controls, range_acc, dirty, ctrl, + ) + qc.x(ctrl) + if order == "dec": + leaf_fn(label, range_acc, ctrl) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if not values: + return + if bit_value == 0: + qc.x(boundary[bit]) + direct(values, list(controls) + [boundary[bit]]) + if bit_value == 0: + qc.x(boundary[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g, depth) -> None: + if _tight_unary_depth_for_labels(sub_labels) <= 5: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, boundary[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary[bit], h, 0) + + low = list(range(0, 128)) + high_labels = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + if order == "inc": + rec(low, root, 1) + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + else: + toggle_root_branch() + rec(high_labels, root, 1) + toggle_root_branch() + rec(low, root, 1) + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def top_scan() -> None: + _top3_range_scan_valid259_conditional_clean( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, clean_helper=ctrl, leaf_fn=leaf_fn, order=order, + ) + + if order == "inc": + qc.cx(ctrl, range_acc) + low_scan() + top_scan() + elif order == "dec": + top_scan() + low_scan() + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad conditional mod-259 scan order") + + +def _upper_zero_map_midpoint_four_conditional( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Upper-zero map with four clean lanes and a conditionally-zero ctrl.""" + if len(bits) != 259 or len(dirty_map) != 259: + raise ValueError("conditional midpoint map requires 259-bit registers") + if len(scratch) < 4: + raise ValueError("conditional midpoint map needs four clean lanes") + + def leaf_forward(j: int, boundary_control: Qubit, + clean_helper: Qubit) -> None: + _apply_not_factor_with_conditional_zero( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], conditional_zero=clean_helper, + ) + + def leaf_reverse(j: int, boundary_control: Qubit, + clean_helper: Qubit) -> None: + if j < 258: + _apply_not_factor_with_conditional_zero( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + conditional_zero=clean_helper, + ) + + _range_scan_259_four_conditional( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_four_conditional( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_reverse, order="dec", + ) + + +def _upper_zero_map_midpoint_four_palindromic( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Four-clean upper-zero map with one shared palindromic decoder walk.""" + if len(bits) != 259 or len(dirty_map) != 259: + raise ValueError("palindromic midpoint map requires 259-bit registers") + if len(boundary_B) != 9 or len(scratch) < 4 or not dirty: + raise ValueError("palindromic midpoint map workspace mismatch") + path = list(scratch[:3]) + range_acc = scratch[3] + labels = list(range(259)) + + def factor(j: int, reverse: bool) -> None: + if reverse and j == 258: + return + _apply_not_factor_with_conditional_zero( + qc, boundary_control=range_acc, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], conditional_zero=ctrl, + ) + + def equality_toggle(controls: Sequence[Qubit]) -> None: + if len(controls) >= 4: + _toggle_raw_controls_conditionally_clean( + qc, controls, range_acc, dirty, ctrl, + ) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + + def direct_forward(sub_labels, controls) -> None: + if len(sub_labels) == 1: + qc.x(ctrl) + factor(sub_labels[0], False) + equality_toggle(controls) + qc.x(ctrl) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + qc.x(boundary_B[bit]) + direct_forward(zero, list(controls) + [boundary_B[bit]]) + qc.x(boundary_B[bit]) + direct_forward(one, list(controls) + [boundary_B[bit]]) + + def direct_reverse(sub_labels, controls) -> None: + if len(sub_labels) == 1: + qc.x(ctrl) + equality_toggle(controls) + factor(sub_labels[0], True) + qc.x(ctrl) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + direct_reverse(one, list(controls) + [boundary_B[bit]]) + qc.x(boundary_B[bit]) + direct_reverse(zero, list(controls) + [boundary_B[bit]]) + qc.x(boundary_B[bit]) + + def direct_palindrome(sub_labels, controls) -> None: + if len(sub_labels) == 1: + qc.x(ctrl) + factor(sub_labels[0], False) + qc.x(ctrl) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + qc.x(boundary_B[bit]) + direct_forward(zero, list(controls) + [boundary_B[bit]]) + qc.x(boundary_B[bit]) + direct_palindrome(one, list(controls) + [boundary_B[bit]]) + qc.x(boundary_B[bit]) + direct_reverse(zero, list(controls) + [boundary_B[bit]]) + qc.x(boundary_B[bit]) + + def scan_forward(sub_labels, g: Qubit, depth: int) -> None: + if _tight_unary_depth_for_labels(sub_labels) <= 6: + direct_forward(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + scan_forward(zero, h, depth + 1) + qc.cx(g, h) + scan_forward(one, h, depth + 1) + qc.cx(g, h) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + def scan_reverse(sub_labels, g: Qubit, depth: int) -> None: + if _tight_unary_depth_for_labels(sub_labels) <= 6: + direct_reverse(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + qc.cx(g, h) + scan_reverse(one, h, depth + 1) + qc.cx(g, h) + scan_reverse(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + def scan_palindrome(sub_labels, g: Qubit, depth: int) -> None: + if _tight_unary_depth_for_labels(sub_labels) <= 6: + direct_palindrome(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + scan_forward(zero, h, depth + 1) + qc.cx(g, h) + scan_palindrome(one, h, depth + 1) + qc.cx(g, h) + scan_reverse(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + qc.cx(ctrl, range_acc) + scan_palindrome(labels, ctrl, 0) + qc.cx(ctrl, range_acc) + + +def _range_scan_259_two_dirty( + qc: QuantumCircuit, + *, + boundary: Sequence[Qubit], + ctrl: Qubit, + scratch: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Exact modulo-259 scan with one clean path lane and one accumulator.""" + if len(boundary) != 9 or len(scratch) < 2 or len(dirty) < 8: + raise ValueError("two-clean modulo-259 scan workspace mismatch") + root = scratch[0] + range_acc = scratch[1] + + def low_scan() -> None: + high = boundary[8] + bit7 = boundary[7] + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def visit(label: int, controls: Sequence[Qubit]) -> None: + if order == "inc": + leaf_fn(label, range_acc) + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + leaf_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if bit_value == 0: + qc.x(boundary[bit]) + direct(values, list(controls) + [boundary[bit]]) + if bit_value == 0: + qc.x(boundary[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + low = list(range(128)) + upper = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + if order == "inc": + direct(low, [root]) + toggle_root_branch() + direct(upper, [root]) + toggle_root_branch() + else: + toggle_root_branch() + direct(upper, [root]) + toggle_root_branch() + direct(low, [root]) + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def exact_top(label: int) -> None: + inverted = [] + for bit, lane in enumerate(boundary): + if ((label >> bit) & 1) == 0: + qc.x(lane) + inverted.append(lane) + _toggle_raw_controls_dirty( + qc, [ctrl] + list(boundary), range_acc, dirty, + ) + for lane in reversed(inverted): + qc.x(lane) + + def top_scan() -> None: + endpoints = range(256, 259) if order == "inc" else range(258, 255, -1) + for label in endpoints: + if order == "inc": + leaf_fn(label, range_acc) + exact_top(label) + else: + exact_top(label) + leaf_fn(label, range_acc) + + if order == "inc": + qc.cx(ctrl, range_acc) + low_scan() + top_scan() + elif order == "dec": + top_scan() + low_scan() + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad two-clean modulo-259 scan order") + + +def _range_scan_259_three_dirty( + qc: QuantumCircuit, + *, + boundary: Sequence[Qubit], + ctrl: Qubit, + scratch: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Exact modulo-259 scan with two clean path lanes and one accumulator.""" + if len(boundary) != 9 or len(scratch) < 3 or len(dirty) < 8: + raise ValueError("three-clean modulo-259 scan workspace mismatch") + path = list(scratch[:2]) + range_acc = scratch[2] + + def low_scan() -> None: + high = boundary[8] + bit7 = boundary[7] + root = path[0] + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def visit(label: int, controls: Sequence[Qubit]) -> None: + if order == "inc": + leaf_fn(label, range_acc) + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + else: + _toggle_raw_controls_dirty(qc, controls, range_acc, dirty) + leaf_fn(label, range_acc) + + def direct(sub_labels, controls) -> None: + if len(sub_labels) == 1: + visit(sub_labels[0], controls) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + + def branch(values, bit_value: int) -> None: + if bit_value == 0: + qc.x(boundary[bit]) + direct(values, list(controls) + [boundary[bit]]) + if bit_value == 0: + qc.x(boundary[bit]) + + if order == "inc": + branch(zero, 0) + branch(one, 1) + else: + branch(one, 1) + branch(zero, 0) + + def rec(sub_labels, g: Qubit, depth: int) -> None: + if _tight_unary_depth_for_labels(sub_labels) <= 6: + direct(sub_labels, [g]) + return + bit = _e._split_bit(sub_labels) + zero = [value for value in sub_labels if ((value >> bit) & 1) == 0] + one = [value for value in sub_labels if ((value >> bit) & 1) == 1] + h = path[depth] + _e._and_with_index_bit(qc, g, boundary[bit], h, 0) + if order == "inc": + rec(zero, h, depth + 1) + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(one, h, depth + 1) + qc.cx(g, h) + rec(zero, h, depth + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary[bit], h, 0) + + low = list(range(128)) + upper = list(range(128, 256)) + + def toggle_root_branch() -> None: + qc.x(high) + qc.ccx(ctrl, high, root) + qc.x(high) + + if order == "inc": + rec(low, root, 1) + toggle_root_branch() + rec(upper, root, 1) + toggle_root_branch() + else: + toggle_root_branch() + rec(upper, root, 1) + toggle_root_branch() + rec(low, root, 1) + + qc.x(high) + qc.x(bit7) + _borrowed_c3x(qc, ctrl, high, bit7, root, dirty[0]) + qc.x(bit7) + qc.x(high) + + def exact_top(label: int) -> None: + inverted = [] + for bit, lane in enumerate(boundary): + if ((label >> bit) & 1) == 0: + qc.x(lane) + inverted.append(lane) + _toggle_raw_controls_dirty( + qc, [ctrl] + list(boundary), range_acc, dirty, + ) + for lane in reversed(inverted): + qc.x(lane) + + def top_scan() -> None: + endpoints = range(256, 259) if order == "inc" else range(258, 255, -1) + for label in endpoints: + if order == "inc": + leaf_fn(label, range_acc) + exact_top(label) + else: + exact_top(label) + leaf_fn(label, range_acc) + + if order == "inc": + qc.cx(ctrl, range_acc) + low_scan() + top_scan() + elif order == "dec": + top_scan() + low_scan() + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad three-clean modulo-259 scan order") + + +def _upper_zero_map_midpoint_three_dirty( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Exact three-clean upper-zero map used with a stable copied carry.""" + if len(bits) != 259 or len(dirty_map) != 259 or len(scratch) < 3: + raise ValueError("three-clean midpoint map workspace mismatch") + + def leaf_forward(j: int, boundary_control: Qubit) -> None: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], borrowed=dirty[0], + ) + + def leaf_reverse(j: int, boundary_control: Qubit) -> None: + if j < 258: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + borrowed=dirty[0], + ) + + _range_scan_259_three_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, + dirty=dirty[1:], leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_three_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, + dirty=dirty[1:], leaf_fn=leaf_reverse, order="dec", + ) + + +def _upper_zero_map_midpoint_two_dirty( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Exact two-clean upper-zero map used with a stable copied carry.""" + if len(bits) != 259 or len(dirty_map) != 259 or len(scratch) < 2: + raise ValueError("two-clean midpoint map workspace mismatch") + + def leaf_forward(j: int, boundary_control: Qubit) -> None: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], borrowed=dirty[0], + ) + + def leaf_reverse(j: int, boundary_control: Qubit) -> None: + if j < 258: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + borrowed=dirty[0], + ) + + _range_scan_259_two_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, + dirty=dirty[1:], leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_two_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, + dirty=dirty[1:], leaf_fn=leaf_reverse, order="dec", + ) + + +def _upper_zero_map_midpoint_five_dirty( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Apply the 259-bit upper-zero map with four/five clean lanes.""" + if len(bits) != 259 or len(dirty_map) != 259: + raise ValueError("five-lane midpoint map requires 259-bit registers") + if len(scratch) < 4: + raise ValueError("midpoint map requires four clean lanes") + + def leaf_forward(j: int, boundary_control: Qubit) -> None: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], borrowed=dirty[0], + ) + + def leaf_reverse(j: int, boundary_control: Qubit) -> None: + if j < 258: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + borrowed=dirty[0], + ) + + _range_scan_259_five_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_five_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_reverse, order="dec", + ) + + +def _range_scan_259_six_dirty( + qc: QuantumCircuit, + *, + boundary: Sequence[Qubit], + ctrl: Qubit, + scratch: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Inclusive modulo-259 scan with six clean and restored dirty lanes.""" + if len(scratch) < 6: + raise ValueError("dirty mod-259 range scan requires six clean lanes") + path = list(scratch[:5]) + range_acc = scratch[5] + if order == "inc": + qc.cx(ctrl, range_acc) + _low256_range_scan_conditioned_dirty_six( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, dirty=dirty, clean_helper=ctrl, + leaf_fn=leaf_fn, order="inc", + ) + _top3_range_scan_valid259_conditional_clean( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, clean_helper=ctrl, leaf_fn=leaf_fn, order="inc", + ) + elif order == "dec": + _top3_range_scan_valid259_conditional_clean( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, clean_helper=ctrl, leaf_fn=leaf_fn, order="dec", + ) + _low256_range_scan_conditioned_dirty_six( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, dirty=dirty, clean_helper=ctrl, + leaf_fn=leaf_fn, order="dec", + ) + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad six-lane mod-259 scan order") + + +def _upper_zero_map_midpoint_six_dirty( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Apply the 259-bit upper-zero map with six clean lanes.""" + if len(bits) != 259 or len(dirty_map) != 259: + raise ValueError("six-lane midpoint map requires 259-bit registers") + if len(scratch) < 6: + raise ValueError("six-lane midpoint map requires six clean lanes") + + def leaf_forward(j: int, boundary_control: Qubit, + clean_temp: Qubit) -> None: + _apply_not_factor_with_conditional_zero( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], conditional_zero=clean_temp, + ) + + def leaf_reverse(j: int, boundary_control: Qubit, + clean_temp: Qubit) -> None: + if j < 258: + _apply_not_factor_with_conditional_zero( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + conditional_zero=clean_temp, + ) + + _range_scan_259_six_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_six_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_reverse, order="dec", + ) + + +def _range_scan_259_seven_dirty( + qc: QuantumCircuit, + *, + boundary: Sequence[Qubit], + ctrl: Qubit, + scratch: Sequence[Qubit], + dirty: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Inclusive modulo-259 scan with seven clean and dirty lenders.""" + if len(scratch) < 7: + raise ValueError("dirty mod-259 range scan requires seven clean lanes") + path = list(scratch[:6]) + range_acc = scratch[6] + if order == "inc": + qc.cx(ctrl, range_acc) + _low256_range_scan_conditioned_dirty_seven( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, dirty=dirty, leaf_fn=leaf_fn, order="inc", + ) + _top3_range_scan_valid259_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="inc", + ) + elif order == "dec": + _top3_range_scan_valid259_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="dec", + ) + _low256_range_scan_conditioned_dirty_seven( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, dirty=dirty, leaf_fn=leaf_fn, order="dec", + ) + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad seven-lane mod-259 scan order") + + +def _upper_zero_map_midpoint_seven_dirty( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Apply the 259-bit upper-zero map with seven clean lanes.""" + if len(bits) != 259 or len(dirty_map) != 259: + raise ValueError("seven-lane midpoint map requires 259-bit registers") + if len(scratch) < 7: + raise ValueError("seven-lane midpoint map requires seven clean lanes") + + def leaf_forward(j: int, boundary_control: Qubit) -> None: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], borrowed=dirty[0], + ) + + def leaf_reverse(j: int, boundary_control: Qubit) -> None: + if j < 258: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + borrowed=dirty[0], + ) + + _range_scan_259_seven_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_seven_dirty( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, dirty=dirty, + leaf_fn=leaf_reverse, order="dec", + ) + + +def _range_scan_259_eight_borrowed( + qc: QuantumCircuit, + *, + boundary: Sequence[Qubit], + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Qubit, + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Inclusive modulo-259 range scan with eight clean and one dirty lane.""" + if len(scratch) < 8: + raise ValueError("borrowed mod-259 range scan requires eight clean lanes") + path = list(scratch[:7]) + range_acc = scratch[7] + if order == "inc": + qc.cx(ctrl, range_acc) + _low256_range_scan_conditioned_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, borrowed=borrowed, leaf_fn=leaf_fn, order="inc", + ) + _top3_range_scan_valid259_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="inc", + ) + elif order == "dec": + _top3_range_scan_valid259_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, leaf_fn=leaf_fn, order="dec", + ) + _low256_range_scan_conditioned_borrowed( + qc, index_reg=boundary, ctrl=ctrl, range_acc=range_acc, + ancillas=path, borrowed=borrowed, leaf_fn=leaf_fn, order="dec", + ) + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad borrowed mod-259 range-scan order") + + +def _upper_zero_map_midpoint_eight_borrowed( + qc: QuantumCircuit, + *, + ctrl: Qubit, + boundary_B: Sequence[Qubit], + bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], + borrowed: Qubit, + scratch: Sequence[Qubit], +) -> None: + """Apply the 259-bit upper-zero dirty map with eight clean lanes.""" + if len(bits) != 259 or len(dirty_map) != 259: + raise ValueError("borrowed midpoint map requires 259-bit work registers") + if len(scratch) < 8: + raise ValueError("borrowed midpoint map requires eight clean lanes") + + def leaf_forward(j: int, boundary_control: Qubit) -> None: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=None if j == 258 else dirty_map[j + 1], + target=dirty_map[j], borrowed=borrowed, + ) + + def leaf_reverse(j: int, boundary_control: Qubit) -> None: + if j < 258: + _apply_not_factor_with_borrowed( + qc, boundary_control=boundary_control, data_bit=bits[j], + neighbor=dirty_map[j + 1], target=dirty_map[j], + borrowed=borrowed, + ) + + _range_scan_259_eight_borrowed( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, + borrowed=borrowed, leaf_fn=leaf_forward, order="inc", + ) + _range_scan_259_eight_borrowed( + qc, boundary=boundary_B, ctrl=ctrl, scratch=scratch, + borrowed=borrowed, leaf_fn=leaf_reverse, order="dec", + ) + + +@lru_cache(maxsize=None) +def compact_prefix_add_midtail_gate(*, n: int, k: int, K: int, + name: str = "T_ADD_MIDTAIL_COMPACT") -> Gate: + """Restoring T add with exact midpoint tail/carry sign capture. + + The old exact-width stream retained the upper-zero predicate before the + cancelling T subtraction. That predicate is stale at the restoring-add + carry midpoint. This block computes the upper endpoint before the first + arithmetic pass, captures the selected carry, applies the dirty-map + sandwich at the midpoint, and then finishes the add. The carry flag, + dirty map, ten dirty passengers, endpoint registers, and all three clean + scratch lanes are restored exactly. + """ + if n != 256 or k != 1 or K > 257: + raise ValueError("midpoint T add is certified for secp256k1 labels 1..257") + if k > K: + raise ValueError("need k <= K") + work_size = n + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Sign = QuantumRegister(1, "Sign") + Tail = QuantumRegister(1, "Tail") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_s = QuantumRegister(LS_WIDTH, "l_s") + l_rp = QuantumRegister(LRP_WIDTH, "l_rp") + Dirty = QuantumRegister(DIRTY_PASSENGER_SIZE, "DirtyPassenger") + Scratch = QuantumRegister(3, "Scratch") + qc = _e._block_circuit( + Ctrl, Sign, Tail, Work1, Work2, l_t, l_s, l_rp, + Dirty, Scratch, name=name, + ) + + encoded_labels = list(range(0, K - 1)) + depth = _tight_unary_depth_for_labels(encoded_labels) + path_depth = max(0, depth - 6) + path = list(Scratch[:path_depth]) + carry = Tail[0] + acc = Scratch[2] + + # Prepare B = 258 - ell_s - ell_rp before the arithmetic history occupies + # the carry lane. First map the modulo-259 truth-minus-one shift encoding + # to its true value. This step is essential at ell_s=0, whose encoding is + # 258; treating that sentinel as an ordinary 9-bit integer gives B+253. + affine_carry = carry + lrp_extended = list(l_rp) + [Dirty[0]] + qc.x(affine_carry) + inc_mod259_1ctrl_dirty(qc, affine_carry, l_s, Dirty) + qc.x(affine_carry) + qc.append( + _e.cuccaro_add_mod_2n_no_z_gate(LS_WIDTH, name="ADD_lrp8_to_ls9"), + lrp_extended + list(l_s) + [affine_carry], + ) + qc.cx(Dirty[0], l_s[LS_WIDTH - 1]) + _const_minus_dirty(qc, l_s, n + 1, Dirty) + + def qpair(j: int) -> tuple[Qubit, Qubit]: + idx = j - k + return Work1[idx], Work2[idx] + + def first_leaf(encoded: int, equality: Qubit) -> None: + j = encoded + 2 + addend, target = qpair(j) + previous_addend, _ = qpair(j - 1) + _apply_cell_borrowed( + qc, "add", "first", acc, addend, target, + previous_addend, Dirty[1], + ) + # The direct-leaf range scan toggles its accumulator outside this leaf. + + qc.cx(Ctrl[0], acc) + addend1, target1 = qpair(1) + _apply_cell_dirty( + qc, "add", "first", Ctrl[0], addend1, target1, + carry, Scratch[0], + ) + if encoded_labels: + unary_range_iteration_dirty_64raw( + qc, index_reg=l_t, labels=encoded_labels, ctrl=Ctrl[0], + range_acc=acc, ancillas=path, borrowed=Dirty[4:9], + leaf_fn=first_leaf, order="inc", + toggle_before_leaf=False, + conditional_clean_helper=Ctrl[0], + ) + + def copy_selected_carry() -> None: + def leaf(encoded: int, controls: Sequence[Qubit]) -> None: + _toggle_raw_controls_dirty( + qc, list(controls) + [Work1[encoded + 1]], acc, Dirty[4:], + ) + + unary_iteration_dirty_64raw( + qc, index_reg=l_t, labels=encoded_labels, + ctrl=Ctrl[0], ancillas=Scratch[:2], + leaf_fn=leaf, order="inc", + ) + + def selected_carry_sign_toggle() -> None: + def leaf(encoded: int, controls: Sequence[Qubit]) -> None: + _toggle_raw_controls_dirty( + qc, list(controls) + [Work1[encoded + 2]], + Sign[0], Dirty[4:], + ) + + unary_iteration_dirty_64raw( + qc, index_reg=l_t, labels=encoded_labels, ctrl=acc, + ancillas=Scratch[:2], leaf_fn=leaf, order="inc", + ) + + if encoded_labels: + # The range accumulator has returned to zero on the certified l_t + # support. Copy the dynamic carry into that fixed clean lane, then use + # a two-map commutator. The copied carry remains stable while Work1 is + # the dirty upper-zero map, so two maps replace the former four-map + # dirty-passenger sandwich. + copy_selected_carry() + selected_carry_sign_toggle() + _upper_zero_map_midpoint_two_dirty( + qc, ctrl=Ctrl[0], boundary_B=l_s, bits=Work2, + dirty_map=Work1, dirty=Dirty, scratch=Scratch[:2], + ) + selected_carry_sign_toggle() + _upper_zero_map_midpoint_two_dirty( + qc, ctrl=Ctrl[0], boundary_B=l_s, bits=Work2, + dirty_map=Work1, dirty=Dirty, scratch=Scratch[:2], + ) + copy_selected_carry() + + def second_leaf(encoded: int, equality: Qubit) -> None: + j = encoded + 2 + addend, target = qpair(j) + previous_addend, _ = qpair(j - 1) + _apply_cell_borrowed( + qc, "add", "second", acc, addend, target, + previous_addend, Dirty[1], + ) + + if encoded_labels: + unary_range_iteration_dirty_64raw( + qc, index_reg=l_t, labels=encoded_labels, ctrl=Ctrl[0], + range_acc=acc, ancillas=path, borrowed=Dirty[4:9], + leaf_fn=second_leaf, order="dec", + toggle_before_leaf=True, + conditional_clean_helper=Ctrl[0], + ) + _apply_cell_dirty( + qc, "add", "second", Ctrl[0], addend1, target1, + carry, Scratch[0], + ) + qc.cx(Ctrl[0], acc) + + _const_minus_dirty(qc, l_s, n + 1, Dirty) + qc.cx(Dirty[0], l_s[LS_WIDTH - 1]) + qc.append( + _e.cuccaro_sub_mod_2n_no_z_gate(LS_WIDTH, name="SUB_lrp8_from_ls9"), + lrp_extended + list(l_s) + [affine_carry], + ) + qc.x(affine_carry) + dec_mod259_1ctrl_dirty(qc, affine_carry, l_s, Dirty) + qc.x(affine_carry) + return _e._finalize_block(qc) + + + +def _range_scan_tight_dirty_octet_sentinel( + qc: QuantumCircuit, + *, + leq: bool, + boundary: Sequence[Qubit], + k: int, + K: int, + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Six-clean scan for up to 258 labels using raw endpoint sentinels.""" + labels = list(range(k, K + 1)) + if K <= 255: + _range_scan_tight_dirty_octet( + qc, leq=leq, boundary=boundary, k=k, K=K, ctrl=ctrl, + scratch=scratch, borrowed=borrowed, leaf_fn=leaf_fn, order=order, + ) + return + if K > 259 or len(scratch) < 6 or len(borrowed) < 8: + raise ValueError("sentinel scan supports ranges ending at most 259") + main = [label for label in labels if label <= 255] + sentinels = [label for label in labels if label > 255] + if len(sentinels) > 4: + raise ValueError("sentinel scan has more than four high endpoints") + if main: + main_depth = _tight_unary_depth_for_labels(main) + range_acc = scratch[max(0, main_depth - 3)] + else: + range_acc = scratch[0] + + def scan_main(*, leq_mode: bool, + order_mode: Literal["inc", "dec"]) -> None: + # The low tree branches only on bits 0..7. Add !bit8 to each + # equality toggle so boundaries 256..259 cannot alias low labels. + # The range accumulator still carries Ctrl across the low block. + qc.x(boundary[8]) + _range_scan_tight_dirty_octet( + qc, leq=leq_mode, boundary=boundary, + k=main[0], K=main[-1], ctrl=ctrl, + scratch=scratch, borrowed=borrowed, leaf_fn=leaf_fn, + order=order_mode, equality_guards=[boundary[8]], + ) + qc.x(boundary[8]) + + def toggle_eq(label: int) -> None: + inverted = [] + for bit, lane in enumerate(boundary): + if ((label >> bit) & 1) == 0: + qc.x(lane) + inverted.append(lane) + _toggle_raw_controls_dirty( + qc, [ctrl] + list(boundary), range_acc, borrowed, + ) + for lane in reversed(inverted): + qc.x(lane) + + if leq and order == "inc": + if main: + scan_main(leq_mode=True, order_mode="inc") + else: + qc.cx(ctrl, range_acc) + for label in sentinels: + leaf_fn(label, range_acc) + toggle_eq(label) + elif leq and order == "dec": + for label in reversed(sentinels): + toggle_eq(label) + leaf_fn(label, range_acc) + if main: + scan_main(leq_mode=True, order_mode="dec") + else: + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + for label in reversed(sentinels): + leaf_fn(label, range_acc) + toggle_eq(label) + if main: + qc.cx(ctrl, range_acc) + scan_main(leq_mode=False, order_mode="dec") + elif not leq and order == "inc": + if main: + scan_main(leq_mode=False, order_mode="inc") + qc.cx(ctrl, range_acc) + for label in sentinels: + toggle_eq(label) + leaf_fn(label, range_acc) + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad sentinel scan mode/order") + + + +def _terminal_aux6_decoder_alias(labels: Sequence[int], endpoint: int) -> int: + """Classify an off-support endpoint through the pinned unary tree.""" + labels = list(sorted(set(labels))) + if not labels: + raise ValueError("terminal Aux6 alias needs a nonempty low support") + while len(labels) > 1: + bit = _e._split_bit(labels) + branch = (endpoint >> bit) & 1 + labels = [ + label for label in labels + if ((label >> bit) & 1) == branch + ] + return labels[0] + + +def _terminal_aux6_direct_inversion_mask( + labels: Sequence[int], leaf: int, direct_depth: int = 4, +) -> int: + """Return index-bit X conjugations live at a direct-leaf callback.""" + labels = list(sorted(set(labels))) + if leaf not in labels: + raise ValueError("terminal Aux6 leaf is outside the low support") + while _tight_unary_depth_for_labels(labels) > direct_depth: + bit = _e._split_bit(labels) + branch = (leaf >> bit) & 1 + labels = [ + label for label in labels + if ((label >> bit) & 1) == branch + ] + mask = 0 + while len(labels) > 1: + bit = _e._split_bit(labels) + branch = (leaf >> bit) & 1 + if branch == 0: + mask |= 1 << bit + labels = [ + label for label in labels + if ((label >> bit) & 1) == branch + ] + return mask + + +def _range_scan_tight_dirty_hexadecet_aux6_terminal( + qc: QuantumCircuit, + *, + leq: bool, + boundary: Sequence[Qubit], + k: int, + K: int, + ctrl: Qubit, + scratch: Sequence[Qubit], + borrowed: Sequence[Qubit], + leaf_fn, + order: Literal["inc", "dec"], +) -> None: + """Exact three/four/five/six-clean terminal scan for labels through 259. + + A crossing window is split into [k,255] and labels 256..K. The low tree + aliases a high endpoint h to a low leaf a(h). An exact endpoint toggle at + that leaf cancels the false low-tree equality before the leaf can observe + a wrong range control. Each high label is then visited exactly once with + an exact equality toggle. This preserves the original leaf order and its + nonidentity behavior when the range control is zero. + """ + if k > K: + raise ValueError("terminal Aux6 scan needs k <= K") + if K > 259: + raise ValueError("terminal Aux6 scan supports labels at most 259") + clean_lanes = len(scratch) + use_six_clean = clean_lanes >= 6 + use_five_clean = clean_lanes == 5 + use_four_clean = clean_lanes == 4 + if not (k <= 255 < K): + if use_six_clean: + scan = _range_scan_tight_dirty_octet + elif use_five_clean: + scan = _range_scan_tight_dirty_hexadecet + elif use_four_clean: + scan = _range_scan_tight_dirty_32raw + else: + scan = _range_scan_tight_dirty_64raw + scan( + qc, leq=leq, boundary=boundary, k=k, K=K, ctrl=ctrl, + scratch=scratch, borrowed=borrowed, leaf_fn=leaf_fn, order=order, + ) + return + if len(boundary) != 9: + raise ValueError("terminal Aux6 crossing scan needs a 9-bit endpoint") + if len(scratch) < 3: + raise ValueError("terminal crossing scan needs three clean lanes") + if len(borrowed) < 8: + raise ValueError("terminal Aux6 crossing scan needs eight dirty lenders") + + main = list(range(k, 256)) + depth = _tight_unary_depth_for_labels(main) + path_reduction = ( + 3 if use_six_clean else (4 if use_five_clean else (5 if use_four_clean else 6)) + ) + range_acc = scratch[max(0, depth - path_reduction)] + high_endpoints = list(range(256, K + 1)) + + def toggle_exact_endpoint(endpoint: int, current_xor_mask: int = 0) -> None: + inverted = [] + for bit, lane in enumerate(boundary): + current_expected = ( + ((endpoint >> bit) & 1) ^ ((current_xor_mask >> bit) & 1) + ) + if current_expected == 0: + qc.x(lane) + inverted.append(lane) + _toggle_raw_controls_dirty( + qc, [ctrl] + list(boundary), range_acc, borrowed, + ) + for lane in reversed(inverted): + qc.x(lane) + + aliases = { + endpoint: _terminal_aux6_decoder_alias(main, endpoint) + for endpoint in high_endpoints + } + + aliases_to_endpoints = {} + for endpoint, alias in aliases.items(): + aliases_to_endpoints.setdefault(alias, []).append(endpoint) + + direct_masks = { + label: _terminal_aux6_direct_inversion_mask( + main, label, path_reduction, + ) + for label in aliases_to_endpoints + } + + def cancel_false_high_equality(label: int, _range_acc: Qubit) -> None: + for endpoint in aliases_to_endpoints.get(label, ()): + toggle_exact_endpoint(endpoint, direct_masks[label]) + + def low_scan(*, toggle_before_leaf: bool) -> None: + kwargs = dict( + index_reg=boundary, labels=main, ctrl=ctrl, + range_acc=range_acc, + ancillas=scratch[:max(0, depth - path_reduction)], + borrowed=borrowed, leaf_fn=leaf_fn, order=order, + toggle_before_leaf=toggle_before_leaf, + after_toggle_fn=cancel_false_high_equality, + ) + if use_six_clean: + unary_range_iteration_dirty_octet(qc, **kwargs) + elif use_five_clean: + unary_range_iteration_dirty_hexadecet(qc, **kwargs) + elif use_four_clean: + unary_range_iteration_dirty_32raw(qc, **kwargs) + else: + unary_range_iteration_dirty_64raw(qc, **kwargs) + + def high_scan(*, toggle_before_leaf: bool) -> None: + endpoints = high_endpoints if order == "inc" else reversed(high_endpoints) + for endpoint in endpoints: + if toggle_before_leaf: + toggle_exact_endpoint(endpoint) + leaf_fn(endpoint, range_acc) + if not toggle_before_leaf: + toggle_exact_endpoint(endpoint) + + if leq and order == "inc": + qc.cx(ctrl, range_acc) + low_scan(toggle_before_leaf=False) + high_scan(toggle_before_leaf=False) + elif leq and order == "dec": + high_scan(toggle_before_leaf=True) + low_scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + elif not leq and order == "dec": + qc.cx(ctrl, range_acc) + high_scan(toggle_before_leaf=False) + low_scan(toggle_before_leaf=False) + elif not leq and order == "inc": + low_scan(toggle_before_leaf=True) + high_scan(toggle_before_leaf=True) + qc.cx(ctrl, range_acc) + else: + raise ValueError("bad terminal Aux6 scan mode/order") + + +def _upper_zero_map_borrowed(qc: QuantumCircuit, *, ctrl: Qubit, + boundary_B: Sequence[Qubit], bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], borrowed: Sequence[Qubit], + k: int, K: int, scratch: Sequence[Qubit]) -> None: + borrowed = [borrowed] if isinstance(borrowed, Qubit) else list(borrowed) + depth = _tight_unary_depth_for_labels(list(range(k, K + 1))) + if len(scratch) < min(3, max(1, depth - 5)): + raise ValueError("borrowed upper-zero map scratch shortage") + + def leaf_forward(j: int, bctrl: Qubit) -> None: + idx = j - k + _apply_not_factor_with_borrowed( + qc, boundary_control=bctrl, data_bit=bits[idx], + neighbor=None if j == K else dirty_map[idx + 1], + target=dirty_map[idx], borrowed=borrowed[0], + ) + + def leaf_reverse(j: int, bctrl: Qubit) -> None: + if j < K: + idx = j - k + _apply_not_factor_with_borrowed( + qc, boundary_control=bctrl, data_bit=bits[idx], + neighbor=dirty_map[idx + 1], target=dirty_map[idx], + borrowed=borrowed[0], + ) + + _range_scan_tight_dirty_hexadecet_aux6_terminal( + qc, leq=True, boundary=boundary_B, k=k, K=K, ctrl=ctrl, + scratch=scratch, borrowed=borrowed, leaf_fn=leaf_forward, order="inc", + ) + _range_scan_tight_dirty_hexadecet_aux6_terminal( + qc, leq=True, boundary=boundary_B, k=k, K=K, ctrl=ctrl, + scratch=scratch, borrowed=borrowed, leaf_fn=leaf_reverse, order="dec", + ) + + +def _lower_zero_map_borrowed(qc: QuantumCircuit, *, ctrl: Qubit, + boundary_A: Sequence[Qubit], bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], borrowed: Sequence[Qubit], + k: int, K: int, scratch: Sequence[Qubit]) -> None: + borrowed = [borrowed] if isinstance(borrowed, Qubit) else list(borrowed) + depth = _tight_unary_depth_for_labels(list(range(k, K + 1))) + if len(scratch) < min(3, max(1, depth - 5)): + raise ValueError("borrowed lower-zero map scratch shortage") + + def leaf_forward(j: int, bctrl: Qubit) -> None: + idx = j - k + _apply_not_factor_with_borrowed( + qc, boundary_control=bctrl, data_bit=bits[idx], + neighbor=None if j == k else dirty_map[idx - 1], + target=dirty_map[idx], borrowed=borrowed[0], + ) + + def leaf_reverse(j: int, bctrl: Qubit) -> None: + if j > k: + idx = j - k + _apply_not_factor_with_borrowed( + qc, boundary_control=bctrl, data_bit=bits[idx], + neighbor=dirty_map[idx - 1], target=dirty_map[idx], + borrowed=borrowed[0], + ) + + _range_scan_tight_dirty_hexadecet_aux6_terminal( + qc, leq=False, boundary=boundary_A, k=k, K=K, ctrl=ctrl, + scratch=scratch, borrowed=borrowed, leaf_fn=leaf_forward, order="dec", + ) + _range_scan_tight_dirty_hexadecet_aux6_terminal( + qc, leq=False, boundary=boundary_A, k=k, K=K, ctrl=ctrl, + scratch=scratch, borrowed=borrowed, leaf_fn=leaf_reverse, order="inc", + ) + + +def _highest_position_xor_write_borrowed(qc: QuantumCircuit, *, ctrl: Qubit, + boundary_B: Sequence[Qubit], bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], target_len: Sequence[Qubit], + borrowed: Sequence[Qubit], k: int, K: int, + scratch: Sequence[Qubit]) -> None: + mask = (1 << len(target_len)) - 1 + + def writes() -> None: + for j in range(K, k, -1): + _e.xor_const_into_reg_controls( + qc, target_len, ((j - 1) ^ (j - 2)) & mask, + ctrls=[ctrl, dirty_map[j - k]], scratch=scratch, + ) + _e.xor_const_into_reg_controls( + qc, target_len, ((k - 1) ^ mask) & mask, + ctrls=[ctrl, dirty_map[0]], scratch=scratch, + ) + + _e.xor_const_into_reg_controls(qc, target_len, (K - 1) & mask, + ctrls=[ctrl], scratch=scratch) + writes() + _upper_zero_map_borrowed( + qc, ctrl=ctrl, boundary_B=boundary_B, bits=bits, dirty_map=dirty_map, + borrowed=borrowed, k=k, K=K, scratch=scratch, + ) + writes() + _upper_zero_map_borrowed( + qc, ctrl=ctrl, boundary_B=boundary_B, bits=bits, dirty_map=dirty_map, + borrowed=borrowed, k=k, K=K, scratch=scratch, + ) + + +def _right_length_xor_write_borrowed(qc: QuantumCircuit, *, n: int, ctrl: Qubit, + boundary_A: Sequence[Qubit], bits: Sequence[Qubit], + dirty_map: Sequence[Qubit], target_len: Sequence[Qubit], + borrowed: Sequence[Qubit], k: int, K: int, + scratch: Sequence[Qubit]) -> None: + mask = (1 << len(target_len)) - 1 + + def val(pos: int) -> int: + return (n + 3 - pos) & mask + + def writes() -> None: + for j in range(k, K): + _e.xor_const_into_reg_controls( + qc, target_len, val(j) ^ val(j + 1), + ctrls=[ctrl, dirty_map[j - k]], scratch=scratch, + ) + _e.xor_const_into_reg_controls( + qc, target_len, val(K) ^ mask, + ctrls=[ctrl, dirty_map[K - k]], scratch=scratch, + ) + + _e.xor_const_into_reg_controls(qc, target_len, val(k), + ctrls=[ctrl], scratch=scratch) + writes() + _lower_zero_map_borrowed( + qc, ctrl=ctrl, boundary_A=boundary_A, bits=bits, dirty_map=dirty_map, + borrowed=borrowed, k=k, K=K, scratch=scratch, + ) + writes() + _lower_zero_map_borrowed( + qc, ctrl=ctrl, boundary_A=boundary_A, bits=bits, dirty_map=dirty_map, + borrowed=borrowed, k=k, K=K, scratch=scratch, + ) + + +def _const_minus_258_tight( + qc: QuantumCircuit, + register: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Apply y -> 258-y modulo 512 with eight clean lanes.""" + register = list(register) + if len(register) != 9 or len(scratch) < 8: + raise ValueError("tight 258-y map requires width 9 and eight scratch") + for lane in register: + qc.x(lane) + _e.inc_mod2n_uncontrolled(qc, register, scratch[:8]) + _e.inc_mod2n_uncontrolled(qc, register[1:], scratch[:7]) + qc.x(register[8]) + + +def _add_three_tight( + qc: QuantumCircuit, + register: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Add three modulo 512 with eight clean lanes.""" + register = list(register) + if len(register) != 9 or len(scratch) < 8: + raise ValueError("tight +3 map requires width 9 and eight scratch") + _e.inc_mod2n_uncontrolled(qc, register, scratch[:8]) + _e.inc_mod2n_uncontrolled(qc, register[1:], scratch[:7]) + + +def _sub_three_tight( + qc: QuantumCircuit, + register: Sequence[Qubit], + scratch: Sequence[Qubit], +) -> None: + """Subtract three modulo 512 with eight clean lanes.""" + register = list(register) + if len(register) != 9 or len(scratch) < 8: + raise ValueError("tight -3 map requires width 9 and eight scratch") + _e.dec_mod2n_uncontrolled(qc, register[1:], scratch[:7]) + _e.dec_mod2n_uncontrolled(qc, register, scratch[:8]) + + +@lru_cache(maxsize=None) +def compact_len_update_lt_gate(*, n: int, k: int, K: int, + name: str = "LEN_LT_COMPACT") -> Gate: + M = K - k + 1 + Ctrl = QuantumRegister(1, "Ctrl") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_rp = QuantumRegister(LRP_WIDTH, "l_rp") + Dirty = QuantumRegister(8, "DirtyPassenger") + Extension = QuantumRegister(1, "Extension") + Scratch = QuantumRegister(3, "Scratch") + qc = _e._block_circuit( + Ctrl, Work1, Work2, l_t, l_rp, Dirty, Extension, Scratch, + name=name, + ) + extension = Extension[0] + boundary = list(l_rp) + [extension] + map_scratch = list(Scratch) + _const_minus_dirty(qc, boundary, 258, Dirty) + _highest_position_xor_write_borrowed( + qc, ctrl=Ctrl[0], boundary_B=boundary, bits=Work2, dirty_map=Work1, + target_len=l_t, borrowed=Dirty, k=k, K=K, scratch=map_scratch, + ) + _highest_position_xor_write_borrowed( + qc, ctrl=Ctrl[0], boundary_B=boundary, bits=Work1, dirty_map=Work2, + target_len=l_t, borrowed=Dirty, k=k, K=K, scratch=map_scratch, + ) + _const_minus_dirty(qc, boundary, 258, Dirty) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_len_update_lrp_gate(*, n: int, k: int, K: int, + name: str = "LEN_LRP_COMPACT") -> Gate: + M = K - k + 1 + Ctrl = QuantumRegister(1, "Ctrl") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_rp = QuantumRegister(LRP_WIDTH, "l_rp") + Dirty = QuantumRegister(8, "DirtyPassenger") + Extension = QuantumRegister(1, "Extension") + Scratch = QuantumRegister(3, "Scratch") + qc = _e._block_circuit( + Ctrl, Work1, Work2, l_t, l_rp, Dirty, Extension, Scratch, + name=name, + ) + extension = Extension[0] + boundary = list(l_t) + [extension] + map_scratch = list(Scratch) + _add_const_dirty(qc, boundary, 3, Dirty) + _right_length_xor_write_borrowed( + qc, n=n, ctrl=Ctrl[0], boundary_A=boundary, bits=Work1, dirty_map=Work2, + target_len=l_rp, borrowed=Dirty, k=k, K=K, scratch=map_scratch, + ) + _right_length_xor_write_borrowed( + qc, n=n, ctrl=Ctrl[0], boundary_A=boundary, bits=Work2, dirty_map=Work1, + target_len=l_rp, borrowed=Dirty, k=k, K=K, scratch=map_scratch, + ) + _sub_const_dirty(qc, boundary, 3, Dirty) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_swap_work_and_len_gate(*, n: int, k4: int, K4: int, + k5: int, K5: int, + name: str = "SWAP_AND_LEN_COMPACT") -> Gate: + work_size = n + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_rp = QuantumRegister(LRP_WIDTH, "l_rp") + Dirty = QuantumRegister(8, "DirtyPassenger") + Extension = QuantumRegister(1, "Extension") + Scratch = QuantumRegister(3, "Scratch") + qc = _e._block_circuit( + Ctrl, Work1, Work2, l_t, l_rp, Dirty, Extension, Scratch, + name=name, + ) + for i in range(work_size): + _e.cswap_toffoli(qc, Ctrl[0], Work1[i], Work2[i]) + gate_lt = compact_len_update_lt_gate(n=n, k=k4, K=K4) + _e._append_with_optional_clbits( + qc, gate_lt, + [Ctrl[0]] + list(Work1[k4 - 1:K4]) + list(Work2[k4 - 1:K4]) + + list(l_t) + list(l_rp) + + list(Dirty) + [Extension[0]] + list(Scratch), + ) + gate_lrp = compact_len_update_lrp_gate(n=n, k=k5, K=K5) + _e._append_with_optional_clbits( + qc, gate_lrp, + [Ctrl[0]] + list(Work1[k5 - 1:K5]) + list(Work2[k5 - 1:K5]) + + list(l_t) + list(l_rp) + + list(Dirty) + [Extension[0]] + list(Scratch), + ) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_tail_zero_gate(*, n: int, + name: str = "T_TAIL_ZERO_COMPACT") -> Gate: + work_size = n + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Tail = QuantumRegister(1, "Tail") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_s = QuantumRegister(LS_WIDTH, "l_s") + l_rp = QuantumRegister(LRP_WIDTH, "l_rp") + Borrowed = QuantumRegister(1, "Borrowed") + Scratch = QuantumRegister(9, "Scratch") + qc = _e._block_circuit(Ctrl, Tail, Work1, Work2, l_t, l_s, l_rp, + Borrowed, Scratch, name=name) + carry = Scratch[8] + lrp_extended = list(l_rp) + [Borrowed[0]] + affine_scratch = list(Scratch) + qc.append(_e.cuccaro_add_mod_2n_no_z_gate(LS_WIDTH, name="ADD_lrp8_to_ls9"), + lrp_extended + list(l_s) + [carry]) + # The borrowed high addend contributes exactly 256 modulo 512. Cancel it + # without learning or changing the borrowed value. + qc.cx(Borrowed[0], l_s[LS_WIDTH - 1]) + _e.const_minus_inplace(qc, l_s, n, affine_scratch) + + def selected_dirty_toggle() -> None: + labels = list(range(0, work_size - 3)) + depth = _tight_unary_depth_for_labels(labels) + + def leaf(encoded_length: int, ej: Qubit) -> None: + qc.ccx(ej, Work1[encoded_length + 2], Tail[0]) + + unary_iteration_tight( + qc, index_reg=l_t, labels=labels, ctrl=Ctrl[0], + ancillas=list(Scratch[:depth]), leaf_fn=leaf, order="inc", + ) + + map_scratch = list(Scratch) + selected_dirty_toggle() + _upper_zero_map_borrowed( + qc, ctrl=Ctrl[0], boundary_B=l_s, bits=Work2, dirty_map=Work1, + borrowed=Borrowed[0], k=0, K=work_size - 1, scratch=map_scratch, + ) + selected_dirty_toggle() + _upper_zero_map_borrowed( + qc, ctrl=Ctrl[0], boundary_B=l_s, bits=Work2, dirty_map=Work1, + borrowed=Borrowed[0], k=0, K=work_size - 1, scratch=map_scratch, + ) + + _e.const_minus_inplace(qc, l_s, n, affine_scratch) + qc.cx(Borrowed[0], l_s[LS_WIDTH - 1]) + qc.append(_e.cuccaro_sub_mod_2n_no_z_gate(LS_WIDTH, name="SUB_lrp8_from_ls9"), + lrp_extended + list(l_s) + [carry]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_lower_borrow_gate(*, n: int, + name: str = "T_LOWER_BORROW_COMPACT") -> Gate: + work_size = n + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Tail = QuantumRegister(1, "Tail") + Neg = QuantumRegister(1, "Neg") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + Borrowed = QuantumRegister(1, "Borrowed") + Scratch = QuantumRegister(9, "Scratch") + qc = _e._block_circuit(Ctrl, Tail, Neg, Work1, Work2, l_t, + Borrowed, Scratch, name=name) + carry, active, eq = Scratch[:3] + eq_pool = list(Scratch[3:]) + qc.ccx(Ctrl[0], Tail[0], active) + + def first_pass_cell(idx: int) -> None: + addend = Work1[idx] + target = Work2[idx] + carry_in = carry if idx == 0 else Work1[idx - 1] + qc.cx(carry_in, target) + qc.cx(addend, carry_in) + qc.ccx(carry_in, target, addend) + + for idx in range(work_size): + first_pass_cell(idx) + physical = idx + 1 + if 2 <= physical <= 257: + _e.compute_eq_const(qc, l_t, physical - 2, eq, eq_pool) + _borrowed_c3x(qc, active, eq, Work1[idx], Neg[0], Borrowed[0]) + _e.compute_eq_const(qc, l_t, physical - 2, eq, eq_pool) + + for idx in range(work_size - 1, -1, -1): + addend = Work1[idx] + target = Work2[idx] + carry_in = carry if idx == 0 else Work1[idx - 1] + qc.ccx(carry_in, target, addend) + qc.cx(addend, carry_in) + qc.cx(carry_in, target) + qc.ccx(Ctrl[0], Tail[0], active) + return _e._finalize_block(qc) + +@lru_cache(maxsize=None) +def swap_work_and_len_unary_shared_gate(*, n: int, len_width: int, k4: int, K4: int, + k5: int, K5: int, name: str = "SWAP_AND_LEN_S835_FAST") -> Gate: + work_size = n + 3 + depth4 = _e.unary_depth(K4 - k4 + 1) + depth5 = _e.unary_depth(K5 - k5 + 1) + scratch4 = max(len_width + 1, depth4 + 2) + scratch5 = max(len_width + 1, depth5 + 2) + scratch_size = max(scratch4, scratch5) + Ctrl = QuantumRegister(1, "Ctrl") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(len_width, "l_t") + l_rp = QuantumRegister(len_width, "l_rp") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Work1, Work2, l_t, l_rp, Scratch, name=name) + for i in range(work_size): + _e.cswap_toffoli(qc, Ctrl[0], Work1[i], Work2[i]) + gate_lt = len_update_lt_unary_gate(n=n, k=k4, K=K4, len_width=len_width) + _e._append_with_optional_clbits(qc, gate_lt, [Ctrl[0]] + list(Work1[k4 - 1:K4]) + list(Work2[k4 - 1:K4]) + + list(l_t) + list(l_rp) + list(Scratch[:scratch4])) + gate_lrp = len_update_lrp_unary_gate(n=n, k=k5, K=K5, len_width=len_width) + _e._append_with_optional_clbits(qc, gate_lrp, [Ctrl[0]] + list(Work1[k5 - 1:K5]) + list(Work2[k5 - 1:K5]) + + list(l_t) + list(l_rp) + list(Scratch[:scratch5])) + return _e._finalize_block(qc) + + +def _fastdual_interval_scratch_size(n: int, k: int, K: int, len_width: int, shift_width: int) -> int: + """Scratch size used by ``lc_interval_addsub_unary_gate``. + + This helper mirrors the scratch layout in ``lc_interval_addsub_unary_gate``. + It is intentionally kept next to ``qiskit_paper_aux_size`` because the + default Aux size used by the checkpointed counter must scale with this + value. For n=256 the worst case is 19 scratch qubits plus the temporary + Ctrl bit, i.e. Aux=20. For n=512 the unary path depth increases by one + on each of the two endpoint scans, so the worst-case scratch is 21 and + Aux must be 22. + """ + if k > K: + return 0 + endpoint_width = max(len_width, shift_width) + rel_count = K - k + 1 + labels_main = list(range(rel_count)) + if rel_count > 1 and ((rel_count - 1) & (rel_count - 2)) == 0: + # Same top-special split as lc_interval_addsub_unary_gate. + labels_main = list(range(rel_count - 1)) + depth = _tight_unary_depth_for_labels(labels_main) if labels_main else 0 + base = max(2 * depth, endpoint_width) + return base + 3 + + +def _fastdual_prefix_scratch_size(k: int, K: int, len_width: int) -> int: + if k > K: + return 0 + depth = _e.unary_depth(K - k + 1) + return max(depth, len_width) + 3 + + +def _fastdual_interval_scratch_size(label_count: int, endpoint_width: int) -> int: + """Scratch qubits used by lc_interval_addsub_unary_gate. + + The FASTDUAL interval Add/Sub block handles a one-more-than-a-power-of-two + interval by pulling the top label out as a special endpoint. Its two endpoint + unary paths therefore have depth based on ``main_count`` rather than directly + on ``label_count``. The scratch layout in lc_interval_addsub_unary_gate is + + base = max(2*depth, endpoint_width) + Scratch[base], Scratch[base+1], Scratch[base+2] + + so the number of scratch qubits needed by the block is ``base + 3``. + This is 19 for n=256 but grows to 21 for n=384/512; the previous hard-coded + lower bound of 19 caused the n=512 qubit-arity mismatch. + """ + depth = _tight_unary_depth_for_labels(list(range(label_count))) if label_count > 1 else 0 + return max(2 * depth, endpoint_width) + 3 + + +def fixed_schedule_shift_width(n: int, base_width: int, T_max: int) -> int: + """Retain every post-terminal rotation without wrapping the pointer.""" + max_padding = max(1, T_max - 4 * n) + return max(base_width, max_padding.bit_length()) + + +def safe_active_windows(n: int, T: int) -> dict[str, tuple[int, int]]: + """Return universally certified windows for secp256k1's fixed schedule.""" + if n == 256: + if not 1 <= T <= len(_CERTIFIED_WINDOW_ROWS): + raise ValueError(f"certified secp256k1 step out of range: {T}") + row = _CERTIFIED_WINDOW_ROWS[T - 1] + + # A null certified window means the block control is unreachable on + # every valid secp256k1 state at this step. A singleton keeps the + # generic controlled gate shape while adding no semantic assumption. + def window(name: str) -> tuple[int, int]: + value = row[name] + return (1, 1) if value is None else (int(value[0]), int(value[1])) + + return { + "r_addsub": window("r_addsub"), + "swap": window("quotient_swap"), + "t_addsub": window("t_addsub"), + "len_update_lt": window("len_update_lt"), + "len_update_lrp": window("len_update_lrp"), + } + try: + return _e.active_windows(n, T) + except ValueError: + work_size = n + 3 + return { + "r_addsub": (1, work_size), + "swap": (1, work_size - 1), + "t_addsub": (1, work_size), + "len_update_lt": (1, work_size), + "len_update_lrp": (1, work_size), + } + + +@lru_cache(maxsize=None) +def compact_pre_shift_gate(*, work_size: int, + name: str = "PRE_SHIFT_MOD259") -> Gate: + Phase1 = QuantumRegister(1, "Phase1") + Phase2 = QuantumRegister(1, "Phase2") + Work2 = QuantumRegister(work_size, "Work2") + l_s = QuantumRegister(LS_WIDTH, "l_s") + Dirty = QuantumRegister(DIRTY_PASSENGER_SIZE, "DirtyPassenger") + Scratch = QuantumRegister(2, "Scratch") + qc = _e._block_circuit( + Phase1, Phase2, Work2, l_s, Dirty, Scratch, name=name, + ) + both, inc_helper = Scratch + + qc.x(Phase1[0]) + for i in range(work_size - 1): + _e.cswap_toffoli(qc, Phase1[0], Work2[i], Work2[i + 1]) + inc_mod259_1ctrl_dirty( + qc, Phase1[0], l_s, Dirty, clean_helper=inc_helper, + ) + + qc.ccx(Phase1[0], Phase2[0], both) + _e.controlled_rotate_right_by_two(qc, both, list(Work2)) + dec_mod259_1ctrl_dirty(qc, both, l_s, Dirty, clean_helper=inc_helper) + dec_mod259_1ctrl_dirty(qc, both, l_s, Dirty, clean_helper=inc_helper) + qc.ccx(Phase1[0], Phase2[0], both) + + qc.x(Phase1[0]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_post_shift_gate(*, work_size: int, + name: str = "POST_SHIFT_MOD259") -> Gate: + Phase1 = QuantumRegister(1, "Phase1") + Phase2 = QuantumRegister(1, "Phase2") + Work2 = QuantumRegister(work_size, "Work2") + l_s = QuantumRegister(LS_WIDTH, "l_s") + Dirty = QuantumRegister(DIRTY_PASSENGER_SIZE, "DirtyPassenger") + Scratch = QuantumRegister(2, "Scratch") + qc = _e._block_circuit( + Phase1, Phase2, Work2, l_s, Dirty, Scratch, name=name, + ) + both, inc_helper = Scratch + + for i in range(work_size - 1): + _e.cswap_toffoli(qc, Phase1[0], Work2[i], Work2[i + 1]) + inc_mod259_1ctrl_dirty( + qc, Phase1[0], l_s, Dirty, clean_helper=inc_helper, + ) + qc.ccx(Phase1[0], Phase2[0], both) + _e.controlled_rotate_right_by_two(qc, both, list(Work2)) + dec_mod259_1ctrl_dirty(qc, both, l_s, Dirty, clean_helper=inc_helper) + dec_mod259_1ctrl_dirty(qc, both, l_s, Dirty, clean_helper=inc_helper) + qc.ccx(Phase1[0], Phase2[0], both) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def compact_phase_update_gate(name: str = "PHASE_UPDATE_COMPACT") -> Gate: + Phase1 = QuantumRegister(1, "Phase1") + Phase2 = QuantumRegister(1, "Phase2") + Sign = QuantumRegister(1, "Sign") + l_q = QuantumRegister(LQ_WIDTH, "l_q") + l_rp = QuantumRegister(LRP_WIDTH, "l_rp") + l_s = QuantumRegister(LS_WIDTH, "l_s") + Dirty = QuantumRegister(DIRTY_PASSENGER_SIZE, "DirtyPassenger") + Scratch = QuantumRegister(2, "Scratch") + qc = _e._block_circuit( + Phase1, Phase2, Sign, l_q, l_rp, l_s, Dirty, Scratch, name=name, + ) + z_lq, z_lrp = Scratch[:2] + + def toggle_eq(register: Sequence[Qubit], value: int, target: Qubit) -> None: + inverted = [] + for bit, lane in enumerate(register): + if ((value >> bit) & 1) == 0: + qc.x(lane) + inverted.append(lane) + _toggle_raw_controls_dirty(qc, register, target, Dirty) + for lane in reversed(inverted): + qc.x(lane) + + toggle_eq(l_q, (1 << LQ_WIDTH) - 1, z_lq) + toggle_eq(l_rp, LRP_ZERO, z_lrp) + qc.x(z_lrp) + _borrowed_c3x(qc, z_lq, z_lrp, Sign[0], Phase2[0], Dirty[0]) + _borrowed_c3x(qc, z_lq, z_lrp, Phase1[0], Phase2[0], Dirty[0]) + _borrowed_c3x(qc, z_lq, z_lrp, Phase2[0], Sign[0], Dirty[0]) + qc.x(z_lrp) + toggle_eq(l_rp, LRP_ZERO, z_lrp) + toggle_eq(l_q, (1 << LQ_WIDTH) - 1, z_lq) + + # Modulo-259 revisits the shift-zero sentinel during terminal padding. + # Guard the phase transition with l_rp != 0 so padding remains frozen. + toggle_eq(l_s, LS_ZERO, z_lq) + toggle_eq(l_rp, LRP_ZERO, z_lrp) + qc.x(z_lrp) + qc.ccx(z_lq, z_lrp, Phase1[0]) + qc.ccx(z_lq, z_lrp, Phase2[0]) + qc.x(z_lrp) + toggle_eq(l_rp, LRP_ZERO, z_lrp) + toggle_eq(l_s, LS_ZERO, z_lq) + return _e._finalize_block(qc) + + +def qiskit_paper_aux_size(n: int, len_width: int, shift_width: int, T_max: Optional[int] = None, + include_algorithm1: bool = False) -> int: + if n != 256: + raise ValueError("exact-width dirty12 route is certified only for secp256k1") + return CLEAN_AUX_SIZE + +def make_global_registers_noctrl(*, n: int, len_width: int, shift_width: int, + T_max: Optional[int] = None, include_algorithm1: bool = False, + aux_size: Optional[int] = None): + work_size = n + 3 + Phase1 = QuantumRegister(1, "Phase1") + Phase2 = QuantumRegister(1, "Phase2") + Iter = QuantumRegister(1, "Iter") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(LT_WIDTH, "l_t") + l_q = QuantumRegister(LQ_WIDTH, "l_q") + l_s = QuantumRegister(LS_WIDTH, "l_s") + l_rp = QuantumRegister(LRP_WIDTH, "l_rp") + if aux_size is None: + aux_size = qiskit_paper_aux_size(n, len_width, shift_width, T_max, include_algorithm1) + if aux_size != CLEAN_AUX_SIZE: + raise ValueError(f"exact-width route requires Aux={CLEAN_AUX_SIZE}") + Aux = QuantumRegister(aux_size, "Aux") + Dirty = QuantumRegister(DIRTY_PASSENGER_SIZE, "DirtyPassenger") + return Phase1, Phase2, Iter, Sign, Work1, Work2, l_t, l_q, l_s, l_rp, Aux, Dirty + + +def _make_condition(qc: QuantumCircuit, conditions, out: Qubit, scratch: Sequence[Qubit]) -> None: + _e.compute_control(qc, conditions, out, scratch) + + +def _toggle_phase_b_from_lq( + qc: QuantumCircuit, + *, + phase1: Qubit, + phase2: Qubit, + l_q: Sequence[Qubit], +) -> None: + """Toggle Phase2 exactly on phase-B states at the T-add boundary.""" + marker = l_q[LQ_WIDTH - 1] + qc.x(phase1) + qc.x(marker) + qc.ccx(phase1, marker, phase2) + qc.x(marker) + qc.x(phase1) + + +def _toggle_phase_d_marker( + qc: QuantumCircuit, + *, + phase1: Qubit, + phase2: Qubit, + l_q: Sequence[Qubit], + dirty: Sequence[Qubit], +) -> None: + """Toggle Phase2 on the reserved physical l_q=255 phase-D marker.""" + marker = l_q[LQ_WIDTH - 1] + qc.x(marker) + _toggle_raw_controls_dirty( + qc, [phase1] + list(l_q), phase2, dirty, + ) + qc.x(marker) + + +def _toggle_phase_b_sentinel( + qc: QuantumCircuit, + *, + phase1: Qubit, + phase2: Qubit, + l_q: Sequence[Qubit], + dirty: Sequence[Qubit], +) -> None: + """Swap physical l_q codes 511 and 255 on phase-B states. + + The truth-minus-one encoding makes semantic l_q=0 physical code 511. + Phase B excludes physical code 255, so that code is a reversible marker + for the omitted endpoint while Phase2 is loaned to the R block. + """ + marker = l_q[LQ_WIDTH - 1] + qc.x(phase1) + _toggle_raw_controls_dirty( + qc, [phase1, phase2] + list(l_q[: LQ_WIDTH - 1]), marker, dirty, + ) + qc.x(phase1) + + +def _borrow_phase2_for_tadd( + qc: QuantumCircuit, + *, + phase1: Qubit, + phase2: Qubit, + l_q: Sequence[Qubit], + dirty: Sequence[Qubit], + inverse: bool = False, +) -> None: + """Clear/restore Phase2 using the physical truth-minus-one l_q domain. + + At the T-add boundary the four legal domains are A=(00,511), + B=(01,0..255), C=(10,0..254 or 511), and D=(11,511). + D is moved to reserved code 255 and B is recoverable from Phase1=0 + with the l_q high bit clear. Phase2 is therefore clean for the complete + T-add block and the inverse sequence restores both registers exactly. + """ + if len(l_q) != LQ_WIDTH: + raise ValueError("T-add Phase2 loan requires the nine-bit l_q register") + marker = l_q[LQ_WIDTH - 1] + if not inverse: + qc.ccx(phase1, phase2, marker) + _toggle_phase_d_marker( + qc, phase1=phase1, phase2=phase2, l_q=l_q, dirty=dirty, + ) + _toggle_phase_b_from_lq( + qc, phase1=phase1, phase2=phase2, l_q=l_q, + ) + else: + _toggle_phase_b_from_lq( + qc, phase1=phase1, phase2=phase2, l_q=l_q, + ) + _toggle_phase_d_marker( + qc, phase1=phase1, phase2=phase2, l_q=l_q, dirty=dirty, + ) + qc.ccx(phase1, phase2, marker) + + +def _borrow_phase2_for_r( + qc: QuantumCircuit, + *, + ctrl: Qubit, + phase1: Qubit, + phase2: Qubit, + l_q: Sequence[Qubit], + dirty: Sequence[Qubit], + inverse: bool = False, +) -> None: + """Clear/restore Phase2 on the broader R-boundary phase-B domain.""" + if not inverse: + _toggle_phase_b_sentinel( + qc, phase1=phase1, phase2=phase2, l_q=l_q, dirty=dirty, + ) + _borrow_phase2_for_tadd( + qc, phase1=phase1, phase2=phase2, l_q=l_q, dirty=dirty, + ) + _toggle_live_r_phase2_mode( + qc, ctrl=ctrl, mode=phase1, phase2=phase2, + l_q=l_q, dirty=dirty, + ) + else: + _toggle_live_r_phase2_mode( + qc, ctrl=ctrl, mode=phase1, phase2=phase2, + l_q=l_q, dirty=dirty, inverse=True, + ) + _borrow_phase2_for_tadd( + qc, phase1=phase1, phase2=phase2, l_q=l_q, dirty=dirty, + inverse=True, + ) + _toggle_phase_b_sentinel( + qc, phase1=phase1, phase2=phase2, l_q=l_q, dirty=dirty, + ) + + +def _canonicalize_lq_for_iter_loan( + qc: QuantumCircuit, + *, + phase1: Qubit, + l_q: Sequence[Qubit], + dirty: Sequence[Qubit], +) -> None: + """Map the weight-at-most-255 T-add domain to l_q=0..255. + + After the Phase2 loan, Phase1=0 uses codes 0..254 and 511, while + Phase1=1 uses 0..253, 255, and 511. The two missing weight-256 endpoints + would be B:255 and C:254. Excluding only those endpoints leaves exactly + 256 codes per Phase1 value, so this involution moves the sentinel 511 to + the missing low code in each branch. + """ + if len(l_q) != LQ_WIDTH: + raise ValueError("T-add Iter loan requires the nine-bit l_q register") + + # Phase1=0: swap 511 and 255 (they differ only in the high bit). + qc.x(phase1) + _toggle_raw_controls_dirty( + qc, [phase1] + list(l_q[:8]), l_q[8], dirty, + ) + qc.x(phase1) + + # Phase1=1: swap 511 and 254 along the Gray path 511 -> 510 -> 254. + gray_controls = [phase1, l_q[8]] + list(l_q[1:8]) + _toggle_raw_controls_dirty(qc, gray_controls, l_q[0], dirty) + qc.x(l_q[0]) + _toggle_raw_controls_dirty( + qc, [phase1] + list(l_q[:8]), l_q[8], dirty, + ) + qc.x(l_q[0]) + _toggle_raw_controls_dirty(qc, gray_controls, l_q[0], dirty) + + +def _borrow_iter_for_tadd( + qc: QuantumCircuit, + *, + phase1: Qubit, + iteration: Qubit, + l_q: Sequence[Qubit], + dirty: Sequence[Qubit], + inverse: bool = False, +) -> None: + """Clear/restore Iter by packing it into canonical l_q bit 8.""" + marker = l_q[LQ_WIDTH - 1] + if not inverse: + _canonicalize_lq_for_iter_loan( + qc, phase1=phase1, l_q=l_q, dirty=dirty, + ) + qc.cx(iteration, marker) + qc.cx(marker, iteration) + else: + qc.cx(marker, iteration) + qc.cx(iteration, marker) + _canonicalize_lq_for_iter_loan( + qc, phase1=phase1, l_q=l_q, dirty=dirty, + ) + + +def _toggle_live_r_phase(qc: QuantumCircuit, *, phase1: Qubit, + l_rp: Sequence[Qubit], out: Qubit, + dirty: Sequence[Qubit]) -> None: + """Toggle ``out`` by ``l_rp != 0 and phase1 == 0`` on valid EEA states. + + Length zero is encoded as all ones. The Algorithm-3 terminal transition + produces Phase1=Phase2=Sign=0, and padding preserves those controls. Thus + terminal and Phase1=1 are mutually exclusive on the block domain, making + + 1 xor Phase1 xor [l_rp == 0] + + equal to ``[l_rp != 0] and not Phase1``. Every operation targets ``out``, + so a second invocation cleans it exactly. + """ + qc.x(out) + qc.cx(phase1, out) + _toggle_raw_controls_dirty(qc, l_rp, out, dirty) + + +def _toggle_terminal_endpoint_raw( + qc: QuantumCircuit, + *, + l_q: Sequence[Qubit], + l_s: Sequence[Qubit], + out: Qubit, + dirty: Sequence[Qubit], + scratch: Sequence[Qubit], + extra_lenders: Sequence[Qubit] = (), +) -> None: + """Toggle the exact l_q=0,l_s=0 terminal predicate without flags.""" + if len(l_q) != LQ_WIDTH or len(l_s) != LS_WIDTH: + raise ValueError("terminal endpoint widths do not match") + lenders = list(dirty) + list(scratch[:5]) + list(extra_lenders) + controls = list(l_q) + list(l_s) + if len(lenders) < len(controls) - 2: + raise ValueError("terminal endpoint raw MCX needs sixteen lenders") + for bit, lane in enumerate(l_s): + if ((LS_ZERO >> bit) & 1) == 0: + qc.x(lane) + _toggle_raw_controls_dirty(qc, controls, out, lenders) + for bit, lane in enumerate(l_s): + if ((LS_ZERO >> bit) & 1) == 0: + qc.x(lane) + + +def append_one_step_T(qc: QuantumCircuit, *, T: int, n: int, len_width: int, shift_width: int, + Phase1, Phase2, Iter, Sign, Work1, Work2, l_t, l_q, l_s, l_rp, + Aux, Dirty) -> None: + work_size = n + 3 + windows = safe_active_windows(n, T) + k1, K1 = windows["r_addsub"] + # The certified secp256k1 table already includes the live carry/sign lane. + # Small-width fallback tests retain the historical one-lane repair. + if n != 256: + k1 = max(1, k1 - 1) + k2, K2 = windows["swap"] + k3, K3 = windows["t_addsub"] + # A null t_addsub certificate row proves that neither T arithmetic block + # can be live on any valid secp256k1 state at this fixed-schedule step. + # Retain the surrounding phase/control bookkeeping, but omit the two large + # controlled arithmetic gates entirely instead of instantiating singleton + # placeholder windows whose controls are known to be unreachable. + t_addsub_reachable = ( + n != 256 or _CERTIFIED_WINDOW_ROWS[T - 1]["t_addsub"] is not None + ) + k4, K4 = windows["len_update_lt"] + k5, K5 = windows["len_update_lrp"] + ctrl = Aux[0] + scratch = list(Aux[1:]) + pool = scratch + # Pre-shift + pre = compact_pre_shift_gate(work_size=work_size) + _e._append_with_optional_clbits( + qc, + pre, + [Phase1[0], Phase2[0]] + + list(Work2) + + list(l_s) + + list(Dirty) + + [ctrl, scratch[0]], + ) + # Terminal padding must only rotate Work2. Fold l_rp!=0 and Phase1=0 into + # the existing control and retain it across the complete R sequence. + _toggle_live_r_phase(qc, phase1=Phase1[0], l_rp=l_rp, out=ctrl, dirty=Dirty) + # The exact four-phase/l_q domain lets Phase2 be packed into l_q and + # cleared. R reconstructs the live phase-B bit between its two scans, so + # the cleared physical lane can replace the removed second Aux qubit. + _borrow_phase2_for_r( + qc, ctrl=ctrl, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, + ) + rfused = compact_r_subrestore_fused_gate(n=n, k=k1, K=K1) + _e._append_with_optional_clbits( + qc, rfused, + [ctrl, Phase2[0], Phase1[0], Sign[0]] + + list(Work1[k1 - 1:K1]) + list(Work2[k1 - 1:K1]) + + list(l_t) + list(l_q) + list(l_s) + list(Dirty) + scratch, + ) + _borrow_phase2_for_r( + qc, ctrl=ctrl, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, inverse=True, + ) + _toggle_live_r_phase(qc, phase1=Phase1[0], l_rp=l_rp, out=ctrl, dirty=Dirty) + # Swap: ctrl = Phase1 xor Phase2 + qc.cx(Phase1[0], ctrl); qc.cx(Phase2[0], ctrl) + # At this point ctrl = Phase1 xor Phase2, so Phase2 can be cleared, + # borrowed as the eighth swap scratch lane, and restored exactly. + qc.cx(ctrl, Phase2[0]); qc.cx(Phase1[0], Phase2[0]) + lc_swap_window = ( + _CERTIFIED_WINDOW_ROWS[T - 1]["quotient_swap"] if n == 256 + else (k2, K2) + ) + if lc_swap_window is not None: + lcs = compact_lc_swap_gate(k=k2, K=K2) + _e._append_with_optional_clbits( + qc, lcs, + [ctrl, Phase1[0], Sign[0]] + + list(Work1[k2 - 1:K2 + 1]) + list(l_t) + list(l_q) + + list(Dirty[2:8]) + [Dirty[8]] + + (scratch + [Phase2[0]])[:4], + ) + qc.cx(Phase1[0], Phase2[0]); qc.cx(ctrl, Phase2[0]) + qc.cx(Phase2[0], ctrl); qc.cx(Phase1[0], ctrl) + # l_q +/- updates. + _make_condition(qc, [(Phase1[0], 1), (Phase2[0], 0)], ctrl, scratch) + _decrement_by_dirty_carry(qc, l_q, Dirty, ctrl, clean_prefix=scratch) + _make_condition(qc, [(Phase1[0], 1), (Phase2[0], 0)], ctrl, scratch) + _make_condition(qc, [(Phase1[0], 0), (Phase2[0], 1)], ctrl, scratch) + _increment_by_dirty_carry(qc, l_q, Dirty, ctrl, clean_prefix=scratch) + _make_condition(qc, [(Phase1[0], 0), (Phase2[0], 1)], ctrl, scratch) + # The restoring add computes its tail predicate at the exact selected-carry + # midpoint. Phase1 is already the add control, so the global control lane + # can hold that temporary while all five clean scratch lanes remain + # available. + # T sub condition: Phase1=1 and (Phase2=1 or Sign=0) + tmp = scratch[0] + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + _make_condition(qc, [(Phase1[0], 1), (tmp, 0)], ctrl, scratch[1:]) + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + _borrow_phase2_for_tadd( + qc, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, + ) + _borrow_iter_for_tadd( + qc, phase1=Phase1[0], iteration=Iter[0], l_q=l_q, + dirty=Dirty, + ) + if t_addsub_reachable: + tsub = compact_prefix_addsub_gate(k=k3, K=K3, + mode="sub", sign_update=False, + capture_borrow_sign=False, + target="work2", name="T_SUB_COMPACT") + _e._append_with_optional_clbits(qc, tsub, [ctrl, Sign[0]] + list(Work1[k3-1:K3]) + list(Work2[k3-1:K3]) + + list(l_t) + [Dirty[3], Dirty[6], Dirty[0], Dirty[1], Dirty[2]] + + (scratch + [Phase2[0], Iter[0]])[:tsub.num_qubits-(2+2*(K3-k3+1)+LT_WIDTH+5)]) + _borrow_iter_for_tadd( + qc, phase1=Phase1[0], iteration=Iter[0], l_q=l_q, + dirty=Dirty, inverse=True, + ) + _borrow_phase2_for_tadd( + qc, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, inverse=True, + ) + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + _make_condition(qc, [(Phase1[0], 1), (tmp, 0)], ctrl, scratch[1:]) + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + qc.cx(Phase1[0], Sign[0]) + _borrow_phase2_for_tadd( + qc, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, + ) + _borrow_iter_for_tadd( + qc, phase1=Phase1[0], iteration=Iter[0], l_q=l_q, + dirty=Dirty, + ) + if t_addsub_reachable: + tadd = compact_prefix_add_midtail_gate(n=n, k=k3, K=K3) + _e._append_with_optional_clbits( + qc, tadd, + [Phase1[0], Sign[0], ctrl] + + list(Work1) + list(Work2) + + list(l_t) + list(l_s) + list(l_rp) + + list(Dirty) + scratch + [Phase2[0], Iter[0]], + ) + _borrow_iter_for_tadd( + qc, phase1=Phase1[0], iteration=Iter[0], l_q=l_q, + dirty=Dirty, inverse=True, + ) + _borrow_phase2_for_tadd( + qc, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, inverse=True, + ) + # Post-shift + post = compact_post_shift_gate(work_size=work_size) + _e._append_with_optional_clbits( + qc, + post, + [Phase1[0], Phase2[0]] + + list(Work2) + + list(l_s) + + list(Dirty) + + [ctrl, scratch[0]], + ) + # Phase update + pupdate = compact_phase_update_gate() + _e._append_with_optional_clbits( + qc, pupdate, + [Phase1[0], Phase2[0], Sign[0]] + + list(l_q) + list(l_rp) + list(l_s) + + list(Dirty) + [ctrl, scratch[0]], + ) + # End iteration every four steps. + if T % 4 == 0: + # Termination is aligned to a four-step boundary. During terminal + # padding l_s returns to its modulo-259 zero sentinel only at offsets + # 259 and 518; neither is divisible by four, and the certified horizon + # is shorter than the 1036-step joint recurrence. Therefore the + # original two-flag end trigger remains exact without an l_rp guard. + _toggle_terminal_endpoint_raw( + qc, l_q=l_q, l_s=l_s, out=ctrl, + dirty=Dirty, scratch=scratch, + extra_lenders=[Iter[0], Sign[0], Phase1[0], Phase2[0], l_t[0]], + ) + # The post-update state has the same exact phase/l_q domain as the + # next T-add boundary. The length-swap gate touches neither Phase2 + # nor l_q, so Phase2 can supply its fifth clean path lane here too. + _borrow_phase2_for_tadd( + qc, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, + ) + _borrow_iter_for_tadd( + qc, phase1=Phase1[0], iteration=Iter[0], l_q=l_q, + dirty=Dirty, + ) + # The original Section 4.5 bounds are unsafe. These ranges come from + # the pinned continuant certificate above; small-width tests still use + # full scans because the certificate is specific to secp256k1. + if n != 256: + k4, K4, k5, K5 = 1, work_size, 1, work_size + swlen = compact_swap_work_and_len_gate( + n=n, k4=k4, K4=K4, k5=k5, K5=K5, + ) + _e._append_with_optional_clbits(qc, swlen, [ctrl] + list(Work1) + list(Work2) + + list(l_t) + list(l_rp) + + list(Dirty[:8]) + [Phase1[0]] + + scratch + [Phase2[0], Iter[0]]) + _borrow_iter_for_tadd( + qc, phase1=Phase1[0], iteration=Iter[0], l_q=l_q, + dirty=Dirty, inverse=True, + ) + _borrow_phase2_for_tadd( + qc, phase1=Phase1[0], phase2=Phase2[0], l_q=l_q, + dirty=Dirty, inverse=True, + ) + qc.cx(ctrl, Iter[0]) + _toggle_terminal_endpoint_raw( + qc, l_q=l_q, l_s=l_s, out=ctrl, + dirty=Dirty, scratch=scratch, + extra_lenders=[Iter[0], Sign[0], Phase1[0], Phase2[0], l_t[0]], + ) + + +def build_step_circuit(n:int, T:int, *, T_max:Optional[int]=None, aux_size:Optional[int]=None, measurement_uncompute:bool=True): + cfg=get_n_config(n); lw=int(cfg['len_width']); T_max=int(T_max or cfg['T_max']) + sw=LS_WIDTH + if aux_size is None: aux_size=qiskit_paper_aux_size(n,lw,sw,T_max) + set_measurement_uncompute(measurement_uncompute) + regs=make_global_registers_noctrl(n=n,len_width=lw,shift_width=sw,T_max=T_max,aux_size=aux_size) + qc=QuantumCircuit(*regs, name=f"S835_FASTDUAL_STEP_T{T}_{n}") + Phase1,Phase2,Iter,Sign,Work1,Work2,l_t,l_q,l_s,l_rp,Aux,Dirty=regs + append_one_step_T(qc,T=T,n=n,len_width=lw,shift_width=sw,Phase1=Phase1,Phase2=Phase2,Iter=Iter,Sign=Sign,Work1=Work1,Work2=Work2,l_t=l_t,l_q=l_q,l_s=l_s,l_rp=l_rp,Aux=Aux,Dirty=Dirty) + return qc + +if __name__ == '__main__': + import argparse,json + ap=argparse.ArgumentParser(); ap.add_argument('--n',type=int,default=256); ap.add_argument('--T',type=int,default=1); ap.add_argument('--count',action='store_true'); args=ap.parse_args() + cfg=get_n_config(args.n); lw=int(cfg['len_width']); Tm=int(cfg['T_max']) + sw=LS_WIDTH + out={'n':args.n,'l_t_width':LT_WIDTH,'l_q_width':LQ_WIDTH,'l_s_width':LS_WIDTH, + 'l_rp_width':LRP_WIDTH,'T_max':Tm,'aux_size':qiskit_paper_aux_size(args.n,lw,sw,Tm), + 'dirty_passenger_size':DIRTY_PASSENGER_SIZE} + qc=build_step_circuit(args.n,args.T,T_max=Tm) + out['step_qubits']=qc.num_qubits; out['top_ops']={str(k):int(v) for k,v in qc.count_ops().items()} + if args.count: + out['ops']={str(k):int(v) for k,v in _e.count_circuit_ops_recursive(qc).items()} + print(json.dumps(out,indent=2,sort_keys=True)) diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/eea_circuit_s835_fastdual_aux22.py b/src/point_add/trailmix_port/inversion/paper2607_data/eea_circuit_s835_fastdual_aux22.py new file mode 100644 index 00000000..996eb422 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/eea_circuit_s835_fastdual_aux22.py @@ -0,0 +1,1040 @@ +import hashlib +import json +from functools import lru_cache +from pathlib import Path +from typing import Literal, Optional, Sequence + +from qiskit import QuantumCircuit, QuantumRegister +from qiskit.circuit import Gate, Qubit + +import eea_circuit_updated as _e + +C_EEA = _e.C_EEA +N_CONFIG = _e.N_CONFIG +paper_len_width = _e.paper_len_width +paper_shift_width = _e.paper_shift_width +Nmax_steps = _e.Nmax_steps +active_windows = _e.active_windows +get_n_config = getattr(_e, "get_n_config") +set_measurement_uncompute = _e.set_measurement_uncompute +count_circuit_ops_recursive = getattr(_e, "count_circuit_ops_recursive", None) + +_CERTIFIED_WINDOW_SHA256 = "3e1961f5550249604bf044edb65f1d1bc403ed75bd7178e283685ddb4f3cb880" +_CERTIFIED_WINDOW_PATH = Path(__file__).with_name("active_windows_1616.json") +_certified_window_bytes = _CERTIFIED_WINDOW_PATH.read_bytes() +if hashlib.sha256(_certified_window_bytes).hexdigest() != _CERTIFIED_WINDOW_SHA256: + raise RuntimeError("secp256k1 active-window certificate hash mismatch") +_certified_window_table = json.loads(_certified_window_bytes) +if ( + _certified_window_table.get("schema") != "luo-secp256k1-active-windows-v2" + or len(_certified_window_table.get("rows", ())) != 1616 +): + raise RuntimeError("invalid secp256k1 active-window certificate") +_CERTIFIED_WINDOW_ROWS = tuple(row["safe"] for row in _certified_window_table["rows"]) + + +def __getattr__(name: str): + return getattr(_e, name) + + +def _tight_unary_depth_for_labels(labels: Sequence[int]) -> int: + labels = sorted(set(labels)) + if len(labels) <= 1: + return 0 + bit = _e._split_bit(labels) + z = [x for x in labels if ((x >> bit) & 1) == 0] + o = [x for x in labels if ((x >> bit) & 1) == 1] + return 1 + max(_tight_unary_depth_for_labels(z), _tight_unary_depth_for_labels(o)) + + +def unary_iteration_tight(qc: QuantumCircuit, *, index_reg: Sequence[Qubit], labels: Sequence[int], + ctrl: Qubit, ancillas: Sequence[Qubit], leaf_fn, order: Literal["inc", "dec"] = "inc") -> None: + labels = sorted(set(labels)) + if not labels: + return + need = _tight_unary_depth_for_labels(labels) + if len(ancillas) < need: + raise ValueError(f"tight unary iteration needs {need} ancillas, got {len(ancillas)}") + def rec(sub_labels, g, depth): + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], g); return + b = _e._split_bit(sub_labels) + z = [x for x in sub_labels if ((x >> b) & 1) == 0] + o = [x for x in sub_labels if ((x >> b) & 1) == 1] + h = ancillas[depth] + _e._and_with_index_bit(qc, g, index_reg[b], h, 0) + if order == "inc": + rec(z, h, depth+1) + qc.cx(g, h) + rec(o, h, depth+1) + qc.cx(g, h) + else: + qc.cx(g, h) + rec(o, h, depth+1) + qc.cx(g, h) + rec(z, h, depth+1) + _e._uncompute_and_with_index_bit(qc, g, index_reg[b], h, 0) + rec(labels, ctrl, 0) + + +def dual_unary_iteration_tight(qc: QuantumCircuit, *, index_a: Sequence[Qubit], index_b: Sequence[Qubit], labels: Sequence[int], + ctrl_a: Qubit, ctrl_b: Qubit, ancillas_a: Sequence[Qubit], ancillas_b: Sequence[Qubit], + leaf_fn, order: Literal["inc", "dec"] = "inc") -> None: + labels = sorted(set(labels)) + if not labels: + return + need = _tight_unary_depth_for_labels(labels) + if len(ancillas_a) < need or len(ancillas_b) < need: + raise ValueError(f"tight dual unary iteration needs {need} ancillas per endpoint") + def rec(sub_labels, ga, gb, depth): + if len(sub_labels) == 1: + leaf_fn(sub_labels[0], ga, gb); return + bit = _e._split_bit(sub_labels) + z = [x for x in sub_labels if ((x >> bit) & 1) == 0] + o = [x for x in sub_labels if ((x >> bit) & 1) == 1] + ha = ancillas_a[depth]; hb = ancillas_b[depth] + _e._and_with_index_bit(qc, ga, index_a[bit], ha, 0) + _e._and_with_index_bit(qc, gb, index_b[bit], hb, 0) + if order == "inc": + rec(z, ha, hb, depth+1) + qc.cx(ga, ha); qc.cx(gb, hb) + rec(o, ha, hb, depth+1) + qc.cx(gb, hb); qc.cx(ga, ha) + else: + qc.cx(ga, ha); qc.cx(gb, hb) + rec(o, ha, hb, depth+1) + qc.cx(gb, hb); qc.cx(ga, ha) + rec(z, ha, hb, depth+1) + _e._uncompute_and_with_index_bit(qc, gb, index_b[bit], hb, 0) + _e._uncompute_and_with_index_bit(qc, ga, index_a[bit], ha, 0) + rec(labels, ctrl_a, ctrl_b, 0) + + +def _toggle_eq_const_under_ctrl_direct(qc: QuantumCircuit, *, endpoint: Sequence[Qubit], const: int, ctrl: Qubit, acc: Qubit, scratch: Sequence[Qubit]) -> None: + # scratch supplies a temporary eq flag followed by mcx scratch. + eq = scratch[0] + pool = list(scratch[1:]) + _e.compute_eq_const(qc, endpoint, const, eq, pool) + qc.ccx(ctrl, eq, acc) + _e.compute_eq_const(qc, endpoint, const, eq, pool) + + +def _const_scratch(Scratch, width: int, carry: Qubit) -> list[Qubit]: + # add_const_mod_2n expects width constant bits followed by one clean carry. + return list(Scratch[:width]) + [carry] + + +@lru_cache(maxsize=None) +def clean_c3x_mbu_gate() -> Gate: + """Self-inverse C^3X with a clean temporary lowered by KMX HMR.""" + wires = QuantumRegister(5, "c3x") + qc = QuantumCircuit(wires, name="CLEAN_C3X_MBU") + qc.ccx(wires[0], wires[1], wires[4]) + qc.ccx(wires[2], wires[4], wires[3]) + qc.ccx(wires[0], wires[1], wires[4]) + return qc.to_gate() + + +def _dirty_c3x(qc: QuantumCircuit, a: Qubit, b: Qubit, c: Qubit, target: Qubit, dirty: Qubit) -> None: + qc.append(clean_c3x_mbu_gate(), [a, b, c, target, dirty]) + + +def _controlled_toffoli_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, target: Qubit, dirty: Qubit) -> None: + _dirty_c3x(qc, ctrl, a, b, target, dirty) + + +def controlled_maj_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + qc.ccx(ctrl, a, b) + qc.ccx(ctrl, a, c) + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + + +def controlled_uma_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + qc.ccx(ctrl, a, c) + qc.ccx(ctrl, c, b) + + +def controlled_maj_inv_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + qc.ccx(ctrl, a, c) + qc.ccx(ctrl, a, b) + + +def controlled_uma_inv_dirty(qc: QuantumCircuit, ctrl: Qubit, a: Qubit, b: Qubit, c: Qubit, dirty: Qubit) -> None: + qc.ccx(ctrl, c, b) + qc.ccx(ctrl, a, c) + _controlled_toffoli_dirty(qc, ctrl, c, b, a, dirty) + + +def _apply_cell_dirty(qc: QuantumCircuit, mode: Literal["add", "sub"], pass_kind: Literal["first", "second"], + ctrl: Qubit, addend: Qubit, target: Qubit, carry: Qubit, dirty: Qubit) -> None: + if mode == "add" and pass_kind == "first": + controlled_maj_dirty(qc, ctrl, addend, target, carry, dirty) + elif mode == "add" and pass_kind == "second": + controlled_uma_dirty(qc, ctrl, addend, target, carry, dirty) + elif mode == "sub" and pass_kind == "first": + controlled_uma_inv_dirty(qc, ctrl, addend, target, carry, dirty) + elif mode == "sub" and pass_kind == "second": + controlled_maj_inv_dirty(qc, ctrl, addend, target, carry, dirty) + else: + raise ValueError("bad arithmetic cell mode/pass") + + +@lru_cache(maxsize=None) +def lc_swap_unary_gate(*, k: int, K: int, len_width: int, name: str = "LC_SWAP_S835_FAST") -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + depth = _e.unary_depth(M) + base = max(len_width, depth) + scratch_size = base + 2 + Ctrl = QuantumRegister(1, "Ctrl") + Direction = QuantumRegister(1, "Direction") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M + 1, "Work1") + l_t = QuantumRegister(len_width, "l_t") + l_q = QuantumRegister(len_width, "l_q") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Direction, Sign, Work1, l_t, l_q, Scratch, name=name) + carry = Scratch[base] + direction_flag = Scratch[base + 1] + cs = list(Scratch[:len_width]) + [carry] + qc.append(_e.cuccaro_add_mod_2n_no_z_gate(len_width, name="ADD_lt_to_lq"), list(l_t) + list(l_q) + [carry]) + _e.add_const_mod_2n(qc, l_q, 3, cs) + path = list(Scratch[:depth]) + def leaf(j: int, ej: Qubit) -> None: + # Phase 2 inserts the next quotient bit at physical j. Phase 3 removes + # the current low quotient bit at physical j-1. Direction (Phase1) is + # retained by the caller, so this branch is exactly reversible. + _e._and_with_index_bit(qc, ej, Direction[0], direction_flag, 0) + _e.cswap_toffoli(qc, direction_flag, Sign[0], Work1[j - k + 1]) + qc.cx(ej, direction_flag) + _e.cswap_toffoli(qc, direction_flag, Sign[0], Work1[j - k]) + qc.cx(ej, direction_flag) + _e._uncompute_and_with_index_bit(qc, ej, Direction[0], direction_flag, 0) + unary_iteration_tight(qc, index_reg=l_q, labels=list(range(k, K + 1)), ctrl=Ctrl[0], ancillas=path, leaf_fn=leaf, order="inc") + _e.sub_const_mod_2n(qc, l_q, 3, cs) + qc.append(_e.cuccaro_sub_mod_2n_no_z_gate(len_width, name="SUB_lt_from_lq"), list(l_t) + list(l_q) + [carry]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def lc_interval_addsub_unary_gate(*, n: int, k: int, K: int, len_width: int, shift_width: int, + mode: Literal["add", "sub"], sign_update: bool, + target: Literal["work1", "work2"], name: str) -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + endpoint_width = max(len_width, shift_width) + # Decode the complete interval. Splitting a 2^d+1 interval into a 2^d + # unary tree plus a special top label is unsound unless the tree is also + # conditioned on the omitted high bit: the top endpoint otherwise aliases + # label zero. The full tree costs one additional path qubit per endpoint + # and is injective over every in-range endpoint. + labels_all_abs = list(range(k, K + 1)) + rel_count = len(labels_all_abs) + labels_main = list(range(rel_count)) + top_special = False + top_rel = rel_count - 1 + depth = _tight_unary_depth_for_labels(labels_main) + # Layout note: + # anc_a/anc_b occupy the first 2*depth wires and are used only by + # the unary endpoint scans. Endpoint affine transforms need + # endpoint_width scratch wires plus a carry. For late steps the unary + # depth can be smaller than endpoint_width; placing carry immediately + # after the unary paths would then alias it with the constant-adder + # scratch. We therefore place carry/acc/cell_pool after the larger of + # the unary-scratch region and the endpoint-transform scratch region. + base = max(2 * depth, endpoint_width) + scratch_size = base + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(len_width, "l_t") + l_q = QuantumRegister(len_width, "l_q") + l_s = QuantumRegister(shift_width, "l_s") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Sign, Work1, Work2, l_t, l_q, l_s, Scratch, name=name) + anc_a = list(Scratch[:depth]) + anc_b = list(Scratch[depth:2*depth]) + carry = Scratch[base] + acc = Scratch[base + 1] + cell_pool = [Scratch[base + 2]] + # Top-special equality controls reuse one clean unary-path wire as the + # one-hot flag. The remaining clean paths plus cell_pool form its MCX + # scratch; this keeps the n=256 block within the 20-qubit shared pool. + top_flag = Scratch[0] + eq_scratch = [Scratch[base + 2]] + [q for q in Scratch[:base] if q != top_flag] + cs = _const_scratch(Scratch, endpoint_width, carry) + # Prepare L=(ell_t-1)+(ell_q-1)+4 and R=n+2-(ell_s-1). + qc.append(_e.cuccaro_add_mod_2n_no_z_gate(len_width, name="ADD_lt_to_lq"), list(l_t) + list(l_q) + [carry]) + _e.add_const_mod_2n(qc, l_q, 4, cs[:len_width] + [carry]) + _e.const_minus_inplace(qc, l_s, n + 2, cs[:shift_width] + [carry]) + # Convert absolute endpoints to relative offsets in [0, K-k]. + _e.sub_const_mod_2n(qc, l_q, k, cs[:len_width] + [carry]) + _e.sub_const_mod_2n(qc, l_s, k, cs[:shift_width] + [carry]) + def qpair(j: int) -> tuple[Qubit, Qubit]: + j_abs = k + j + idx = j_abs - k + if target == "work1": + return Work2[idx], Work1[idx] + if target == "work2": + return Work1[idx], Work2[idx] + raise ValueError("bad target") + def leaf_first(j: int, rj: Qubit, lj: Qubit) -> None: + addend, tgt = qpair(j) + idx = j + # Work1/Work2's r fields are big endian. The low boundary R uses the + # clean carry; cells toward L use the transformed lower addend bit as + # the Cuccaro carry chain. + if idx + 1 < rel_count: + _apply_cell_dirty( + qc, mode, "first", acc, addend, tgt, qpair(idx + 1)[0], cell_pool[0] + ) + _apply_cell_dirty(qc, mode, "first", rj, addend, tgt, carry, cell_pool[0]) + if sign_update: + qc.ccx(lj, addend, Sign[0]) + qc.cx(rj, acc) + qc.cx(lj, acc) + if top_special: + addend, tgt = qpair(top_rel) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _apply_cell_dirty(qc, mode, "first", top_flag, addend, tgt, carry, cell_pool[0]) + qc.cx(top_flag, acc) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + if sign_update: + qc.ccx(top_flag, addend, Sign[0]) + qc.cx(top_flag, acc) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + dual_unary_iteration_tight(qc, index_a=l_s, index_b=l_q, labels=labels_main, + ctrl_a=Ctrl[0], ctrl_b=Ctrl[0], ancillas_a=anc_a, + ancillas_b=anc_b, leaf_fn=leaf_first, order="dec") + def leaf_second(j: int, rj: Qubit, lj: Qubit) -> None: + addend, tgt = qpair(j) + idx = j + qc.cx(lj, acc) + qc.cx(rj, acc) + if idx + 1 < rel_count: + _apply_cell_dirty( + qc, mode, "second", acc, addend, tgt, qpair(idx + 1)[0], cell_pool[0] + ) + _apply_cell_dirty(qc, mode, "second", rj, addend, tgt, carry, cell_pool[0]) + dual_unary_iteration_tight(qc, index_a=l_s, index_b=l_q, labels=labels_main, + ctrl_a=Ctrl[0], ctrl_b=Ctrl[0], ancillas_a=anc_a, + ancillas_b=anc_b, leaf_fn=leaf_second, order="inc") + if top_special: + addend, tgt = qpair(top_rel) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + qc.cx(top_flag, acc) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_q, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + qc.cx(top_flag, acc) + _apply_cell_dirty(qc, mode, "second", top_flag, addend, tgt, carry, cell_pool[0]) + _toggle_eq_const_under_ctrl_direct(qc, endpoint=l_s, const=top_rel, ctrl=Ctrl[0], acc=top_flag, scratch=eq_scratch) + _e.add_const_mod_2n(qc, l_s, k, cs[:shift_width] + [carry]) + _e.add_const_mod_2n(qc, l_q, k, cs[:len_width] + [carry]) + _e.const_minus_inplace(qc, l_s, n + 2, cs[:shift_width] + [carry]) + _e.sub_const_mod_2n(qc, l_q, 4, cs[:len_width] + [carry]) + qc.append(_e.cuccaro_sub_mod_2n_no_z_gate(len_width, name="SUB_lt_from_lq"), list(l_t) + list(l_q) + [carry]) + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def lc_prefix_addsub_unary_gate(*, k: int, K: int, len_width: int, + mode: Literal["add", "sub"], sign_update: bool, + target: Literal["work1", "work2"], name: str, + endpoint_offset: int = 2) -> Gate: + if k > K: + raise ValueError("need k <= K") + M = K - k + 1 + depth = _e.unary_depth(M) + base = max(depth, len_width) + scratch_size = base + 3 + Ctrl = QuantumRegister(1, "Ctrl") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(M, "Work1") + Work2 = QuantumRegister(M, "Work2") + l_t = QuantumRegister(len_width, "l_t") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Sign, Work1, Work2, l_t, Scratch, name=name) + path = list(Scratch[:depth]) + carry = Scratch[base] + acc = Scratch[base + 1] + cell_pool = [Scratch[base + 2]] + cs = list(Scratch[:len_width]) + [carry] + _e.add_const_mod_2n(qc, l_t, endpoint_offset, cs) + def qpair(j: int) -> tuple[Qubit, Qubit]: + idx = j - k + if target == "work1": + return Work2[idx], Work1[idx] + if target == "work2": + return Work1[idx], Work2[idx] + raise ValueError("bad target") + qc.cx(Ctrl[0], acc) + def leaf_first(j: int, ej: Qubit) -> None: + addend, tgt = qpair(j) + if j == k: + _apply_cell_dirty(qc, mode, "first", Ctrl[0], addend, tgt, carry, cell_pool[0]) + else: + _apply_cell_dirty(qc, mode, "first", acc, addend, tgt, qpair(j - 1)[0], cell_pool[0]) + if sign_update: + qc.ccx(ej, addend, Sign[0]) + qc.cx(ej, acc) + unary_iteration_tight(qc, index_reg=l_t, labels=list(range(k, K + 1)), ctrl=Ctrl[0], ancillas=path, leaf_fn=leaf_first, order="inc") + def leaf_second(j: int, ej: Qubit) -> None: + addend, tgt = qpair(j) + qc.cx(ej, acc) + if j == k: + _apply_cell_dirty(qc, mode, "second", Ctrl[0], addend, tgt, carry, cell_pool[0]) + else: + _apply_cell_dirty(qc, mode, "second", acc, addend, tgt, qpair(j - 1)[0], cell_pool[0]) + unary_iteration_tight(qc, index_reg=l_t, labels=list(range(k, K + 1)), ctrl=Ctrl[0], ancillas=path, leaf_fn=leaf_second, order="dec") + qc.cx(Ctrl[0], acc) + _e.sub_const_mod_2n(qc, l_t, endpoint_offset, cs) + return _e._finalize_block(qc) + + +def _upper_zero_map_controlled(qc: QuantumCircuit, *, ctrl: Qubit, + boundary_B: Sequence[Qubit], bits: Sequence[Qubit], + dirty: Sequence[Qubit], k: int, K: int, + scratch: Sequence[Qubit]) -> None: + """Controlled upper-zero dirty map with one shared palindromic scan.""" + depth = _e.unary_depth(K - k + 1) + if len(scratch) < depth + 2: + raise ValueError("controlled upper-zero map scratch shortage") + path = list(scratch[:depth]) + range_acc = scratch[depth] + a_tmp = scratch[depth + 1] + + def compute_factor(bctrl: Qubit, bit: Qubit) -> None: + # ctrl & !(bctrl & bit): out-of-range positions contribute the + # multiplicative identity when active, while ctrl=0 is exact identity. + qc.cx(ctrl, a_tmp) + qc.ccx(bctrl, bit, a_tmp) + + def leaf_forward(j: int, bctrl: Qubit) -> None: + idx = j - k + if j == K: + # At the pivot, a_K = ctrl xor ([K <= B] & bit_K). Applying it + # directly removes one compute/action/uncompute Toffoli. + qc.cx(ctrl, dirty[idx]) + qc.ccx(bctrl, bits[idx], dirty[idx]) + return + compute_factor(bctrl, bits[idx]) + qc.ccx(a_tmp, dirty[idx + 1], dirty[idx]) + compute_factor(bctrl, bits[idx]) + + def leaf_reverse(j: int, bctrl: Qubit) -> None: + idx = j - k + compute_factor(bctrl, bits[idx]) + qc.ccx(a_tmp, dirty[idx + 1], dirty[idx]) + compute_factor(bctrl, bits[idx]) + + labels = list(range(k, K + 1)) + + def scan_forward(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + leaf_forward(sub_labels[0], range_acc) + qc.cx(g, range_acc) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = path[level] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + scan_forward(zero, h, level + 1) + qc.cx(g, h) + scan_forward(one, h, level + 1) + qc.cx(g, h) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + def scan_reverse(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + qc.cx(g, range_acc) + leaf_reverse(sub_labels[0], range_acc) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = path[level] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + qc.cx(g, h) + scan_reverse(one, h, level + 1) + qc.cx(g, h) + scan_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + def scan_palindrome(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + leaf_forward(sub_labels[0], range_acc) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = path[level] + _e._and_with_index_bit(qc, g, boundary_B[bit], h, 0) + scan_forward(zero, h, level + 1) + qc.cx(g, h) + scan_palindrome(one, h, level + 1) + qc.cx(g, h) + scan_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, boundary_B[bit], h, 0) + + qc.cx(ctrl, range_acc) + scan_palindrome(labels, ctrl, 0) + qc.cx(ctrl, range_acc) + + +@lru_cache(maxsize=None) +def t_tail_zero_toggle_gate(*, n: int, len_width: int, shift_width: int, + name: str = "T_TAIL_ZERO_S835_FAST") -> Gate: + """Toggle Tail iff Work2[A..=B] is zero for the dynamic t' tail.""" + work_size = n + 3 + labels = list(range(work_size)) + depth = _tight_unary_depth_for_labels(labels) + map_need = _e.unary_depth(work_size) + 2 + + def pivot_depth(sub_labels: list[int], pivot: int) -> int: + if len(sub_labels) <= 1: + return 0 + bit = _e._split_bit(sub_labels) + branch = [j for j in sub_labels if ((j >> bit) & 1) == ((pivot >> bit) & 1)] + return 1 + pivot_depth(branch, pivot) + + live_select_depth = pivot_depth(labels, labels[-1]) + + Ctrl = QuantumRegister(1, "Ctrl") + Tail = QuantumRegister(1, "Tail") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(len_width, "l_t") + l_s = QuantumRegister(shift_width, "l_s") + l_rp = QuantumRegister(len_width, "l_rp") + map_offset = 0 + select_offset = map_need + carry_offset = select_offset + live_select_depth + Scratch = QuantumRegister(carry_offset + 1, "Scratch") + qc = _e._block_circuit(Ctrl, Tail, Work1, Work2, l_t, l_s, l_rp, Scratch, name=name) + length_carry = Scratch[carry_offset] + + def shift_lower_endpoint(forward: bool) -> None: + # Adding two modulo 2^w is an increment of bits 1..w-1. + if len_width <= 1: + return + upper = list(l_t[1:]) + ancillas = list(Scratch[:max(0, len(upper) - 1)]) + if forward: + _e.inc_mod2n_uncontrolled(qc, upper, ancillas) + else: + _e.dec_mod2n_uncontrolled(qc, upper, ancillas) + + def reflect_upper_endpoint() -> None: + # l_rp <- n-l_rp. At n=256 the constant is the top bit of the + # 9-bit endpoint, so its modular addition is a single X. + for q in l_rp: + qc.x(q) + _e.inc_mod2n_uncontrolled(qc, l_rp, list(Scratch[:max(0, len_width - 1)])) + if n == (1 << (len_width - 1)): + qc.x(l_rp[len_width - 1]) + else: + _e.add_const_mod_2n( + qc, l_rp, n, list(Scratch[:len_width]) + [length_carry] + ) + + def transform_endpoints() -> None: + # A=l_t+1 (after the appended zero lane) and + # B=n+2-l_r'-l_s in zero-based physical coordinates. + shift_lower_endpoint(True) + qc.append( + _e.cuccaro_add_mod_2n_no_z_gate(len_width, name="ADD_ls_to_lrp"), + list(l_s[:len_width]) + list(l_rp) + [length_carry], + ) + reflect_upper_endpoint() + + def restore_endpoints() -> None: + reflect_upper_endpoint() + qc.append( + _e.cuccaro_sub_mod_2n_no_z_gate(len_width, name="SUB_ls_from_lrp"), + list(l_s[:len_width]) + list(l_rp) + [length_carry], + ) + shift_lower_endpoint(False) + + map_scratch = list(Scratch[map_offset:map_offset + map_need]) + # Only the path to the maximum label remains live across the central map. + # Give those levels dedicated wires; all deeper selector levels are clean + # before the map and can alias its scratch without widening the EEA step. + select_path = ( + list(Scratch[select_offset:select_offset + live_select_depth]) + + map_scratch[:depth - live_select_depth] + ) + + def apply_upper_map() -> None: + _upper_zero_map_controlled( + qc, ctrl=Ctrl[0], boundary_B=l_rp, bits=Work2, dirty=Work1, + k=0, K=work_size - 1, scratch=map_scratch, + ) + + def selected_leaf(j: int, ej: Qubit) -> None: + qc.ccx(ej, Work1[j], Tail[0]) + + def select_forward(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + selected_leaf(sub_labels[0], g) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = select_path[level] + _e._and_with_index_bit(qc, g, l_t[bit], h, 0) + select_forward(zero, h, level + 1) + qc.cx(g, h) + select_forward(one, h, level + 1) + qc.cx(g, h) + _e._uncompute_and_with_index_bit(qc, g, l_t[bit], h, 0) + + def select_reverse(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + selected_leaf(sub_labels[0], g) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = select_path[level] + _e._and_with_index_bit(qc, g, l_t[bit], h, 0) + qc.cx(g, h) + select_reverse(one, h, level + 1) + qc.cx(g, h) + select_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, l_t[bit], h, 0) + + def select_map_palindrome(sub_labels: list[int], g: Qubit, level: int) -> None: + if len(sub_labels) == 1: + selected_leaf(sub_labels[0], g) + apply_upper_map() + selected_leaf(sub_labels[0], g) + return + bit = _e._split_bit(sub_labels) + zero = [j for j in sub_labels if ((j >> bit) & 1) == 0] + one = [j for j in sub_labels if ((j >> bit) & 1) == 1] + h = select_path[level] + _e._and_with_index_bit(qc, g, l_t[bit], h, 0) + select_forward(zero, h, level + 1) + qc.cx(g, h) + select_map_palindrome(one, h, level + 1) + qc.cx(g, h) + select_reverse(zero, h, level + 1) + _e._uncompute_and_with_index_bit(qc, g, l_t[bit], h, 0) + + transform_endpoints() + select_map_palindrome(labels, Ctrl[0], 0) + apply_upper_map() + restore_endpoints() + return _e._finalize_block(qc) + + +@lru_cache(maxsize=None) +def t_lower_borrow_toggle_gate(*, n: int, len_width: int, + name: str = "T_LOWER_BORROW_S835_FAST") -> Gate: + """Toggle Neg by Tail times the exact borrow through the t prefix.""" + work_size = n + 3 + labels = list(range(1, work_size + 1)) + depth = _tight_unary_depth_for_labels(labels) + base = max(depth, len_width) + Ctrl = QuantumRegister(1, "Ctrl") + Tail = QuantumRegister(1, "Tail") + Neg = QuantumRegister(1, "Neg") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(len_width, "l_t") + Scratch = QuantumRegister(base + 2, "Scratch") + qc = _e._block_circuit(Ctrl, Tail, Neg, Work1, Work2, l_t, Scratch, name=name) + carry = Scratch[base] + active = Scratch[base + 1] + + # The first inverse-UMA pass of the controlled prefix subtractor stores + # the borrow through position j in Work1[j]. Execute that pass without a + # location control, use its intermediate value at the selected endpoint, + # then reverse it. The surrounding permutation cancels even when the + # output control is inactive, so only the unary selector needs Ctrl&Tail. + if len_width > 1: + _e.inc_mod2n_uncontrolled( + qc, l_t[1:], list(Scratch[:max(0, len_width - 2)]) + ) + qc.ccx(Ctrl[0], Tail[0], active) + + def first_pass_cell(idx: int) -> None: + addend = Work1[idx] + target = Work2[idx] + carry_in = carry if idx == 0 else Work1[idx - 1] + qc.cx(carry_in, target) + qc.cx(addend, carry_in) + qc.ccx(carry_in, target, addend) + + def leaf(j: int, ej: Qubit) -> None: + idx = j - 1 + first_pass_cell(idx) + qc.ccx(ej, Work1[idx], Neg[0]) + + unary_iteration_tight( + qc, index_reg=l_t, labels=labels, ctrl=active, + ancillas=list(Scratch[:depth]), leaf_fn=leaf, order="inc", + ) + + for idx in range(work_size - 1, -1, -1): + addend = Work1[idx] + target = Work2[idx] + carry_in = carry if idx == 0 else Work1[idx - 1] + qc.ccx(carry_in, target, addend) + qc.cx(addend, carry_in) + qc.cx(carry_in, target) + + qc.ccx(Ctrl[0], Tail[0], active) + if len_width > 1: + _e.dec_mod2n_uncontrolled( + qc, l_t[1:], list(Scratch[:max(0, len_width - 2)]) + ) + return _e._finalize_block(qc) + +# Reuse the low-aux length update; it is already the paper dirty-work construction with live-range shared scratch. +import eea_circuit_s835_lowaux as _low +len_update_lt_unary_gate = _low.len_update_lt_unary_gate +len_update_lrp_unary_gate = _low.len_update_lrp_unary_gate + +@lru_cache(maxsize=None) +def swap_work_and_len_unary_shared_gate(*, n: int, len_width: int, k4: int, K4: int, + k5: int, K5: int, name: str = "SWAP_AND_LEN_S835_FAST") -> Gate: + work_size = n + 3 + depth4 = _e.unary_depth(K4 - k4 + 1) + depth5 = _e.unary_depth(K5 - k5 + 1) + scratch4 = max(len_width + 1, depth4 + 2) + scratch5 = max(len_width + 1, depth5 + 2) + scratch_size = max(scratch4, scratch5) + Ctrl = QuantumRegister(1, "Ctrl") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(len_width, "l_t") + l_rp = QuantumRegister(len_width, "l_rp") + Scratch = QuantumRegister(scratch_size, "Scratch") + qc = _e._block_circuit(Ctrl, Work1, Work2, l_t, l_rp, Scratch, name=name) + for i in range(work_size): + _e.cswap_toffoli(qc, Ctrl[0], Work1[i], Work2[i]) + gate_lt = len_update_lt_unary_gate(n=n, k=k4, K=K4, len_width=len_width) + _e._append_with_optional_clbits(qc, gate_lt, [Ctrl[0]] + list(Work1[k4 - 1:K4]) + list(Work2[k4 - 1:K4]) + + list(l_t) + list(l_rp) + list(Scratch[:scratch4])) + gate_lrp = len_update_lrp_unary_gate(n=n, k=k5, K=K5, len_width=len_width) + _e._append_with_optional_clbits(qc, gate_lrp, [Ctrl[0]] + list(Work1[k5 - 1:K5]) + list(Work2[k5 - 1:K5]) + + list(l_t) + list(l_rp) + list(Scratch[:scratch5])) + return _e._finalize_block(qc) + + +def _fastdual_interval_scratch_size(n: int, k: int, K: int, len_width: int, shift_width: int) -> int: + """Scratch size used by ``lc_interval_addsub_unary_gate``. + + This helper mirrors the scratch layout in ``lc_interval_addsub_unary_gate``. + It is intentionally kept next to ``qiskit_paper_aux_size`` because the + default Aux size used by the checkpointed counter must scale with this + value. For n=256 the worst case is 19 scratch qubits plus the temporary + Ctrl bit, i.e. Aux=20. For n=512 the unary path depth increases by one + on each of the two endpoint scans, so the worst-case scratch is 21 and + Aux must be 22. + """ + if k > K: + return 0 + endpoint_width = max(len_width, shift_width) + rel_count = K - k + 1 + labels_main = list(range(rel_count)) + if rel_count > 1 and ((rel_count - 1) & (rel_count - 2)) == 0: + # Same top-special split as lc_interval_addsub_unary_gate. + labels_main = list(range(rel_count - 1)) + depth = _tight_unary_depth_for_labels(labels_main) if labels_main else 0 + base = max(2 * depth, endpoint_width) + return base + 3 + + +def _fastdual_prefix_scratch_size(k: int, K: int, len_width: int) -> int: + if k > K: + return 0 + depth = _e.unary_depth(K - k + 1) + return max(depth, len_width) + 3 + + +def _fastdual_interval_scratch_size(label_count: int, endpoint_width: int) -> int: + """Scratch qubits used by lc_interval_addsub_unary_gate. + + The FASTDUAL interval Add/Sub block handles a one-more-than-a-power-of-two + interval by pulling the top label out as a special endpoint. Its two endpoint + unary paths therefore have depth based on ``main_count`` rather than directly + on ``label_count``. The scratch layout in lc_interval_addsub_unary_gate is + + base = max(2*depth, endpoint_width) + Scratch[base], Scratch[base+1], Scratch[base+2] + + so the number of scratch qubits needed by the block is ``base + 3``. + This is 19 for n=256 but grows to 21 for n=384/512; the previous hard-coded + lower bound of 19 caused the n=512 qubit-arity mismatch. + """ + depth = _tight_unary_depth_for_labels(list(range(label_count))) if label_count > 1 else 0 + return max(2 * depth, endpoint_width) + 3 + + +def fixed_schedule_shift_width(n: int, base_width: int, T_max: int) -> int: + """Retain every post-terminal rotation without wrapping the pointer.""" + max_padding = max(1, T_max - 4 * n) + return max(base_width, max_padding.bit_length()) + + +def safe_active_windows(n: int, T: int) -> dict[str, tuple[int, int]]: + """Return universally certified windows for secp256k1's fixed schedule.""" + if n == 256: + if not 1 <= T <= len(_CERTIFIED_WINDOW_ROWS): + raise ValueError(f"certified secp256k1 step out of range: {T}") + row = _CERTIFIED_WINDOW_ROWS[T - 1] + + # A null certified window means the block control is unreachable on + # every valid secp256k1 state at this step. A singleton keeps the + # generic controlled gate shape while adding no semantic assumption. + def window(name: str) -> tuple[int, int]: + value = row[name] + return (1, 1) if value is None else (int(value[0]), int(value[1])) + + return { + "r_addsub": window("r_addsub"), + "swap": window("quotient_swap"), + "t_addsub": window("t_addsub"), + "len_update_lt": window("len_update_lt"), + "len_update_lrp": window("len_update_lrp"), + } + try: + return _e.active_windows(n, T) + except ValueError: + work_size = n + 3 + return { + "r_addsub": (1, work_size), + "swap": (1, work_size - 1), + "t_addsub": (1, work_size), + "len_update_lt": (1, work_size), + "len_update_lrp": (1, work_size), + } + + +def qiskit_paper_aux_size(n: int, len_width: int, shift_width: int, T_max: Optional[int] = None, + include_algorithm1: bool = False) -> int: + # Includes the temporary Ctrl bit Aux[0]. For n=256 this is exactly 20; + # for larger n the FASTDUAL r-side interval Add/Sub can require more. + if T_max is None: + T_max = _e.Nmax_steps(n) + max_swap = max_t = max_l4 = max_l5 = 1 + max_r_interval_scratch = 1 + endpoint_width = max(len_width, shift_width) + for T in range(1, T_max + 1): + w = safe_active_windows(n, T) + r_lo, r_hi = w["r_addsub"] + r_count = r_hi - max(1, r_lo - 1) + 1 + max_r_interval_scratch = max(max_r_interval_scratch, _fastdual_interval_scratch_size(r_count, endpoint_width)) + max_swap = max(max_swap, w["swap"][1] - w["swap"][0] + 1) + max_t = max(max_t, w["t_addsub"][1] - w["t_addsub"][0] + 1) + max_l4 = max(max_l4, w["len_update_lt"][1] - w["len_update_lt"][0] + 1) + max_l5 = max(max_l5, w["len_update_lrp"][1] - w["len_update_lrp"][0] + 1) + step_scratch = max( + shift_width + 4, + max_r_interval_scratch, + max(len_width + 1, _e.unary_depth(max_swap)), + max(_e.unary_depth(max_t) + 3, len_width + 1), + max(len_width, shift_width) + 3, + max(len_width + 1, _e.unary_depth(max(max_l4, max_l5)) + 2), + len_width - 1 + 2, + max(len_width, shift_width) + 6, + ) + # Aux[0] holds the R-side control. On valid Algorithm-3 states, terminal + # l_rp=0 (encoded as all ones) is mutually exclusive with Phase1=1, so the + # terminal guard can be folded into this control without a retained flag. + return max(1 + step_scratch, 20) # includes Ctrl + +def make_global_registers_noctrl(*, n: int, len_width: int, shift_width: int, + T_max: Optional[int] = None, include_algorithm1: bool = False, + aux_size: Optional[int] = None): + work_size = n + 3 + Phase1 = QuantumRegister(1, "Phase1") + Phase2 = QuantumRegister(1, "Phase2") + Iter = QuantumRegister(1, "Iter") + Sign = QuantumRegister(1, "Sign") + Work1 = QuantumRegister(work_size, "Work1") + Work2 = QuantumRegister(work_size, "Work2") + l_t = QuantumRegister(len_width, "l_t") + l_q = QuantumRegister(len_width, "l_q") + l_s = QuantumRegister(shift_width, "l_s") + l_rp = QuantumRegister(len_width, "l_rp") + if aux_size is None: + aux_size = qiskit_paper_aux_size(n, len_width, shift_width, T_max, include_algorithm1) + Aux = QuantumRegister(aux_size, "Aux") + return Phase1, Phase2, Iter, Sign, Work1, Work2, l_t, l_q, l_s, l_rp, Aux + + +def _make_condition(qc: QuantumCircuit, conditions, out: Qubit, scratch: Sequence[Qubit]) -> None: + _e.compute_control(qc, conditions, out, scratch) + + +def _toggle_live_r_phase(qc: QuantumCircuit, *, phase1: Qubit, + l_rp: Sequence[Qubit], out: Qubit, + scratch: Sequence[Qubit]) -> None: + """Toggle ``out`` by ``l_rp != 0 and phase1 == 0`` on valid EEA states. + + Length zero is encoded as all ones. The Algorithm-3 terminal transition + produces Phase1=Phase2=Sign=0, and padding preserves those controls. Thus + terminal and Phase1=1 are mutually exclusive on the block domain, making + + 1 xor Phase1 xor [l_rp == 0] + + equal to ``[l_rp != 0] and not Phase1``. Every operation targets ``out``, + so a second invocation cleans it exactly. + """ + qc.x(out) + qc.cx(phase1, out) + _e.compute_eq_const(qc, l_rp, (1 << len(l_rp)) - 1, out, scratch) + + +def append_one_step_T(qc: QuantumCircuit, *, T: int, n: int, len_width: int, shift_width: int, + Phase1, Phase2, Iter, Sign, Work1, Work2, l_t, l_q, l_s, l_rp, Aux) -> None: + work_size = n + 3 + windows = safe_active_windows(n, T) + k1, K1 = windows["r_addsub"] + # The certified secp256k1 table already includes the live carry/sign lane. + # Small-width fallback tests retain the historical one-lane repair. + if n != 256: + k1 = max(1, k1 - 1) + k2, K2 = windows["swap"] + k3, K3 = windows["t_addsub"] + k4, K4 = windows["len_update_lt"] + k5, K5 = windows["len_update_lrp"] + ctrl = Aux[0] + scratch = list(Aux[1:]) + pool = scratch + # Pre-shift + pre = _e.pre_shift_gate(work_size=work_size, shift_width=shift_width) + _e._append_with_optional_clbits(qc, pre, [Phase1[0], Phase2[0]] + list(Work2) + list(l_s) + scratch[:pre.num_qubits-(2+work_size+shift_width)]) + # Terminal padding must only rotate Work2. Fold l_rp!=0 and Phase1=0 into + # the existing control and retain it across the complete R sequence. + _toggle_live_r_phase(qc, phase1=Phase1[0], l_rp=l_rp, out=ctrl, scratch=scratch) + rsub = lc_interval_addsub_unary_gate(n=n, k=k1, K=K1, len_width=len_width, shift_width=shift_width, + mode="sub", sign_update=True, target="work1", name="R_SUB_S835_FAST") + _e._append_with_optional_clbits(qc, rsub, [ctrl, Sign[0]] + list(Work1[k1-1:K1]) + list(Work2[k1-1:K1]) + + list(l_t) + list(l_q) + list(l_s) + scratch[:rsub.num_qubits-(2+2*(K1-k1+1)+len_width+len_width+shift_width)]) + # if the live R phase also has Phase2=1 then Sign ^= 1 + qc.ccx(ctrl, Phase2[0], Sign[0]) + # Convert ctrl from live-R to the R-add predicate by toggling it when + # Phase1=0 and Phase2&Sign=1. The clean C3X scratch is restored by the + # primitive and remains available to the interval adder. + qc.x(Phase1[0]) + _dirty_c3x(qc, Phase1[0], Phase2[0], Sign[0], ctrl, scratch[0]) + qc.x(Phase1[0]) + radd = lc_interval_addsub_unary_gate(n=n, k=k1, K=K1, len_width=len_width, shift_width=shift_width, + mode="add", sign_update=False, target="work1", name="R_ADD_S835_FAST") + _e._append_with_optional_clbits(qc, radd, [ctrl, Sign[0]] + list(Work1[k1-1:K1]) + list(Work2[k1-1:K1]) + + list(l_t) + list(l_q) + list(l_s) + scratch[:radd.num_qubits-(2+2*(K1-k1+1)+len_width+len_width+shift_width)]) + qc.x(Phase1[0]) + _dirty_c3x(qc, Phase1[0], Phase2[0], Sign[0], ctrl, scratch[0]) + qc.x(Phase1[0]) + _toggle_live_r_phase(qc, phase1=Phase1[0], l_rp=l_rp, out=ctrl, scratch=scratch) + # Swap: ctrl = Phase1 xor Phase2 + qc.cx(Phase1[0], ctrl); qc.cx(Phase2[0], ctrl) + lcs = lc_swap_unary_gate(k=k2, K=K2, len_width=len_width) + _e._append_with_optional_clbits(qc, lcs, [ctrl, Phase1[0], Sign[0]] + list(Work1[k2-1:K2+1]) + list(l_t) + list(l_q) + + scratch[:lcs.num_qubits-(3+(K2-k2+2)+len_width+len_width)]) + qc.cx(Phase2[0], ctrl); qc.cx(Phase1[0], ctrl) + # l_q +/- updates. + _make_condition(qc, [(Phase1[0], 1), (Phase2[0], 0)], ctrl, scratch) + _e.dec_mod2n_1ctrl(qc, ctrl, list(l_q), scratch[:max(0,len_width-1)]) + _make_condition(qc, [(Phase1[0], 1), (Phase2[0], 0)], ctrl, scratch) + _make_condition(qc, [(Phase1[0], 0), (Phase2[0], 1)], ctrl, scratch) + _e.inc_mod2n_1ctrl(qc, ctrl, list(l_q), scratch[:max(0,len_width-1)]) + _make_condition(qc, [(Phase1[0], 0), (Phase2[0], 1)], ctrl, scratch) + # Compute the mathematical underflow from unchanged t/t' data. The flag + # remains live across the cancelling subtract/add pair and is recomputed + # afterward to clean it exactly on the Algorithm-3 domain. + tail_zero = scratch[-2] + neg = scratch[-1] + tail_gate = t_tail_zero_toggle_gate(n=n, len_width=len_width, shift_width=shift_width) + tail_need = tail_gate.num_qubits - (2 + 2 * work_size + len_width + shift_width + len_width) + tail_args = [Phase1[0], tail_zero] + list(Work1) + list(Work2) + list(l_t) + list(l_s) + list(l_rp) + scratch[:-2][:tail_need] + borrow_gate = t_lower_borrow_toggle_gate(n=n, len_width=len_width) + borrow_need = borrow_gate.num_qubits - (3 + 2 * work_size + len_width) + borrow_tail = [tail_zero, neg] + list(Work1) + list(Work2) + list(l_t) + scratch[:-2][:borrow_need] + _e._append_with_optional_clbits(qc, tail_gate, tail_args) + # T sub condition: Phase1=1 and (Phase2=1 or Sign=0) + tmp = scratch[0] + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + _make_condition(qc, [(Phase1[0], 1), (tmp, 0)], ctrl, scratch[1:]) + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + _e._append_with_optional_clbits(qc, borrow_gate, [ctrl] + borrow_tail) + tsub = lc_prefix_addsub_unary_gate(k=k3, K=K3, len_width=len_width, + mode="sub", sign_update=False, target="work2", name="T_SUB_S835_FAST") + _e._append_with_optional_clbits(qc, tsub, [ctrl, Sign[0]] + list(Work1[k3-1:K3]) + list(Work2[k3-1:K3]) + + list(l_t) + scratch[:tsub.num_qubits-(2+2*(K3-k3+1)+len_width)]) + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + _make_condition(qc, [(Phase1[0], 1), (tmp, 0)], ctrl, scratch[1:]) + _make_condition(qc, [(Phase2[0], 0), (Sign[0], 1)], tmp, scratch[1:]) + qc.cx(Phase1[0], Sign[0]) + _make_condition(qc, [(Phase1[0], 1)], ctrl, scratch) + tadd = lc_prefix_addsub_unary_gate(k=k3, K=K3, len_width=len_width, + mode="add", sign_update=False, target="work2", name="T_ADD_S835_FAST") + _e._append_with_optional_clbits(qc, tadd, [ctrl, Sign[0]] + list(Work1[k3-1:K3]) + list(Work2[k3-1:K3]) + + list(l_t) + scratch[:tadd.num_qubits-(2+2*(K3-k3+1)+len_width)]) + qc.cx(neg, Sign[0]) + _make_condition(qc, [(Phase1[0], 1)], ctrl, scratch) + _e._append_with_optional_clbits(qc, borrow_gate, [Phase1[0]] + borrow_tail) + _e._append_with_optional_clbits(qc, tail_gate, tail_args) + # Post-shift + post = _e.post_shift_gate(work_size=work_size, shift_width=shift_width) + _e._append_with_optional_clbits(qc, post, [Phase1[0], Phase2[0]] + list(Work2) + list(l_s) + scratch[:post.num_qubits-(2+work_size+shift_width)]) + # Phase update + pupdate = _e.phase_update_gate(len_width=len_width, shift_width=shift_width) + _e._append_with_optional_clbits(qc, pupdate, [Phase1[0], Phase2[0], Sign[0]] + list(l_q) + list(l_rp) + list(l_s) + + scratch[:pupdate.num_qubits-(3+len_width+len_width+shift_width)]) + # End iteration every four steps. + if T % 4 == 0: + z_lq = scratch[0]; z_ls = scratch[1]; eq_pool = scratch[2:] + _e.mcx_vchain(qc, list(l_q), z_lq, eq_pool) + _e.mcx_vchain(qc, list(l_s), z_ls, eq_pool) + qc.ccx(z_lq, z_ls, ctrl) + # The original Section 4.5 bounds are unsafe. These ranges come from + # the pinned continuant certificate above; small-width tests still use + # full scans because the certificate is specific to secp256k1. + if n != 256: + k4, K4, k5, K5 = 1, work_size, 1, work_size + swlen = swap_work_and_len_unary_shared_gate( + n=n, len_width=len_width, + k4=k4, K4=K4, k5=k5, K5=K5, + ) + need = swlen.num_qubits - (1+2*work_size+2*len_width) + _e._append_with_optional_clbits(qc, swlen, [ctrl] + list(Work1) + list(Work2) + list(l_t) + list(l_rp) + scratch[2:2+need]) + qc.cx(ctrl, Iter[0]) + qc.ccx(z_lq, z_ls, ctrl) + _e.mcx_vchain(qc, list(l_s), z_ls, eq_pool) + _e.mcx_vchain(qc, list(l_q), z_lq, eq_pool) + + +def build_step_circuit(n:int, T:int, *, T_max:Optional[int]=None, aux_size:Optional[int]=None, measurement_uncompute:bool=True): + cfg=get_n_config(n); lw=int(cfg['len_width']); T_max=int(T_max or cfg['T_max']) + sw=fixed_schedule_shift_width(n,int(cfg['shift_width']),T_max) + if aux_size is None: aux_size=qiskit_paper_aux_size(n,lw,sw,T_max) + set_measurement_uncompute(measurement_uncompute) + regs=make_global_registers_noctrl(n=n,len_width=lw,shift_width=sw,T_max=T_max,aux_size=aux_size) + qc=QuantumCircuit(*regs, name=f"S835_FASTDUAL_STEP_T{T}_{n}") + Phase1,Phase2,Iter,Sign,Work1,Work2,l_t,l_q,l_s,l_rp,Aux=regs + append_one_step_T(qc,T=T,n=n,len_width=lw,shift_width=sw,Phase1=Phase1,Phase2=Phase2,Iter=Iter,Sign=Sign,Work1=Work1,Work2=Work2,l_t=l_t,l_q=l_q,l_s=l_s,l_rp=l_rp,Aux=Aux) + return qc + +if __name__ == '__main__': + import argparse,json + ap=argparse.ArgumentParser(); ap.add_argument('--n',type=int,default=256); ap.add_argument('--T',type=int,default=1); ap.add_argument('--count',action='store_true'); args=ap.parse_args() + cfg=get_n_config(args.n); lw=int(cfg['len_width']); Tm=int(cfg['T_max']) + sw=fixed_schedule_shift_width(args.n,int(cfg['shift_width']),Tm) + out={'n':args.n,'len_width':lw,'shift_width':sw,'T_max':Tm,'aux_size':qiskit_paper_aux_size(args.n,lw,sw,Tm)} + qc=build_step_circuit(args.n,args.T,T_max=Tm) + out['step_qubits']=qc.num_qubits; out['top_ops']={str(k):int(v) for k,v in qc.count_ops().items()} + if args.count: + out['ops']={str(k):int(v) for k,v in _e.count_circuit_ops_recursive(qc).items()} + print(json.dumps(out,indent=2,sort_keys=True)) diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/generate_eea_blob.py b/src/point_add/trailmix_port/inversion/paper2607_data/generate_eea_blob.py new file mode 100644 index 00000000..9e7476cd --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/generate_eea_blob.py @@ -0,0 +1,155 @@ +#!/usr/bin/env python3 +"""Flatten the paper's fixed-width EEA steps into a compact primitive stream.""" + +from __future__ import annotations + +import argparse +from collections import Counter +import hashlib +import importlib +import json +from pathlib import Path +import struct +import sys + +try: + import compression.zstd as zstd + + def open_zstd(path: Path, level: int): + return zstd.open(path, "wb", level=level) +except ImportError: + import zstandard as zstd + + def open_zstd(path: Path, level: int): + compressor = zstd.ZstdCompressor(level=level) + return compressor.stream_writer(path.open("wb"), closefd=True) + + +KIND = { + "x": 1, + "cx": 2, + "ccx": 3, + "z": 4, + "cz": 5, + "swap": 6, + "clean_c3x_mbu": 7, +} + + +def flatten(circuit, qmap=None): + if qmap is None: + qmap = {q: i for i, q in enumerate(circuit.qubits)} + for item in circuit.data: + op = item.operation + qargs = [qmap[q] for q in item.qubits] + name = op.name.lower() + if name == "clean_c3x_mbu": + yield name, qargs + continue + if item.clbits: + raise RuntimeError(f"classical operands in unitary stream: {op.name}") + if name in KIND: + yield name, qargs + continue + definition = op.definition + if definition is None: + raise RuntimeError(f"opaque operation {op.name!r}") + if definition.num_clbits: + raise RuntimeError(f"dynamic definition in unitary stream: {op.name}") + child_map = {q: qargs[i] for i, q in enumerate(definition.qubits)} + yield from flatten(definition, child_map) + + +def pack_record(name: str, qargs: list[int]) -> bytes: + if len(qargs) > 5: + raise RuntimeError(f"primitive {name} has {len(qargs)} operands") + q = qargs + [0, 0, 0, 0, 0] + if any(x >= 1024 for x in qargs): + raise RuntimeError(f"qubit index overflow in {name}: {qargs}") + word = (KIND[name] | (len(qargs) << 4) | (q[0] << 8) | (q[1] << 18) + | (q[2] << 28) | (q[3] << 38) | (q[4] << 48)) + return struct.pack(" None: + ap = argparse.ArgumentParser() + ap.add_argument("--paper", type=Path, required=True) + ap.add_argument("--out", type=Path, required=True) + ap.add_argument("--start", type=int, default=1) + ap.add_argument("--end", type=int, default=1481) + ap.add_argument("--schedule-end", type=int, default=1481) + ap.add_argument("--level", type=int, default=12) + ap.add_argument("--module", default="eea_circuit_s835_fastdual") + ap.add_argument("--aux-size", type=int, default=23) + ap.add_argument("--expected-qubits", type=int, default=581) + args = ap.parse_args() + + sys.path.insert(0, str(args.paper)) + eea = importlib.import_module(args.module) + + if args.start < 1 or args.end < args.start or args.end > args.schedule_end: + raise SystemExit("invalid step range") + + args.out.parent.mkdir(parents=True, exist_ok=True) + counts = Counter() + primitive_records = 0 + digest = hashlib.sha256() + per_step = [] + with open_zstd(args.out, args.level) as stream: + stream.write(b"P26EEA2\0") + stream.write(struct.pack(" str: + digest = hashlib.sha256() + with path.open("rb") as stream: + for block in iter(lambda: stream.read(1024 * 1024), b""): + digest.update(block) + return digest.hexdigest() + + +def replace_constant(source: str, name: str, value: int) -> str: + pattern = re.compile(rf"^(const {re.escape(name)}: usize = )[0-9_]+;$", re.MULTILINE) + updated, count = pattern.subn(rf"\g<1>{value:_};", source) + if count != 1: + raise AssertionError(f"{name}: expected one definition, replaced {count}") + return updated + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--stream", type=Path, required=True) + parser.add_argument("--source-root", type=Path, required=True) + args = parser.parse_args() + + aggregate_path = args.stream / "aggregate.json" + aggregate = json.loads(aggregate_path.read_text(encoding="utf-8")) + assert aggregate["chunk_count"] == EXPECTED_CHUNKS + assert aggregate["schedule_steps"] == EXPECTED_STEPS + assert aggregate["local_width"] == EXPECTED_LOCAL_WIDTH + assert aggregate["aux_size"] == EXPECTED_AUX + identity = aggregate["source_identity"] + assert identity == { + "candidate_generator_sha256": EXPECTED_GENERATOR_SHA256, + "support_commit": EXPECTED_SUPPORT_COMMIT, + "support_source_sha256": EXPECTED_SUPPORT_SHA256, + } + generator = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_data" + / "eea_circuit_s835_exactwidth_dirty12.py" + ) + assert sha256(generator) == EXPECTED_GENERATOR_SHA256 + + chunks = sorted(args.stream.glob("chunk-*.zst")) + reports = sorted(args.stream.glob("chunk-*.zst.json")) + assert len(chunks) == len(reports) == EXPECTED_CHUNKS + + destination = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_exactwidth_data" + ) + for path in chunks + reports: + shutil.copy2(path, destination / path.name) + shutil.copy2(aggregate_path, destination / "aggregate.json") + shutil.copy2(aggregate_path, destination / "aggregate_manifest.json") + + primitive = aggregate["primitive_counts"] + markers = int(primitive["clean_c3x_mbu"]) + values = { + "AUX_WIDTH": EXPECTED_AUX, + "CORE_WIDTH": EXPECTED_LOCAL_WIDTH - 10, + "STREAM_X_PER_TRAVERSAL": int(primitive["x"]), + "STREAM_CX_PER_TRAVERSAL": int(primitive["cx"]), + "STREAM_CCX_PER_TRAVERSAL": int(primitive["ccx"]) + 2 * markers, + "STREAM_HMR_PER_TRAVERSAL": markers, + "STREAM_CZ_PER_TRAVERSAL": markers, + } + rust_path = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_eea.rs" + ) + source = rust_path.read_text(encoding="utf-8") + for name, value in values.items(): + source = replace_constant(source, name, value) + rust_path.write_text(source, encoding="utf-8") + + print( + "PASS installed Aux10 stream " + f"records={aggregate['records_per_traversal']} " + f"toffoli={aggregate['executed_toffoli_per_traversal']} " + f"local_width={aggregate['local_width']}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux11_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux11_stream.py new file mode 100644 index 00000000..3ffb6715 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux11_stream.py @@ -0,0 +1,82 @@ +#!/usr/bin/env python3 +"""Install a verified aux11 stream and synchronize the Rust count constants.""" + +from __future__ import annotations + +import argparse +import json +from pathlib import Path +import re +import shutil + + +EXPECTED_CHUNKS = 36 +EXPECTED_STEPS = 1616 +EXPECTED_LOCAL_WIDTH = 577 +EXPECTED_AUX = 11 + + +def replace_constant(source: str, name: str, value: int) -> str: + pattern = re.compile(rf"^(const {re.escape(name)}: usize = )[0-9_]+;$", re.MULTILINE) + updated, count = pattern.subn(rf"\g<1>{value:_};", source) + if count != 1: + raise AssertionError(f"{name}: expected one definition, replaced {count}") + return updated + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--stream", type=Path, required=True) + parser.add_argument("--source-root", type=Path, required=True) + args = parser.parse_args() + + aggregate_path = args.stream / "aggregate.json" + aggregate = json.loads(aggregate_path.read_text(encoding="utf-8")) + assert aggregate["chunk_count"] == EXPECTED_CHUNKS + assert aggregate["schedule_steps"] == EXPECTED_STEPS + assert aggregate["local_width"] == EXPECTED_LOCAL_WIDTH + assert aggregate["aux_size"] == EXPECTED_AUX + + chunks = sorted(args.stream.glob("chunk-*.zst")) + reports = sorted(args.stream.glob("chunk-*.zst.json")) + assert len(chunks) == len(reports) == EXPECTED_CHUNKS + + destination = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_exactwidth_data" + ) + for path in chunks + reports: + shutil.copy2(path, destination / path.name) + shutil.copy2(aggregate_path, destination / "aggregate.json") + shutil.copy2(aggregate_path, destination / "aggregate_manifest.json") + + primitive = aggregate["primitive_counts"] + markers = int(primitive["clean_c3x_mbu"]) + values = { + "AUX_WIDTH": EXPECTED_AUX, + "CORE_WIDTH": EXPECTED_LOCAL_WIDTH - 10, + "STREAM_X_PER_TRAVERSAL": int(primitive["x"]), + "STREAM_CX_PER_TRAVERSAL": int(primitive["cx"]), + "STREAM_CCX_PER_TRAVERSAL": int(primitive["ccx"]) + 2 * markers, + "STREAM_HMR_PER_TRAVERSAL": markers, + "STREAM_CZ_PER_TRAVERSAL": markers, + } + rust_path = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_eea.rs" + ) + source = rust_path.read_text(encoding="utf-8") + for name, value in values.items(): + source = replace_constant(source, name, value) + rust_path.write_text(source, encoding="utf-8") + + print( + "PASS installed aux11 stream " + f"records={aggregate['records_per_traversal']} " + f"toffoli={aggregate['executed_toffoli_per_traversal']} " + f"local_width={aggregate['local_width']}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux6_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux6_stream.py new file mode 100644 index 00000000..564c0aac --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux6_stream.py @@ -0,0 +1,102 @@ +#!/usr/bin/env python3 +"""Install a verified Q817 Aux5 stream and synchronize Rust constants.""" + +from __future__ import annotations + +import argparse +import json +from pathlib import Path +import re +import shutil + + +EXPECTED_CHUNKS = 36 +EXPECTED_STEPS = 1616 +EXPECTED_LOCAL_WIDTH = 571 +EXPECTED_AUX = 5 +EXPECTED_DIRTY = 10 + + +def replace_constant(source: str, name: str, value: int) -> str: + pattern = re.compile( + rf"^(const {re.escape(name)}: usize = )[0-9_]+;$", re.MULTILINE + ) + updated, count = pattern.subn(rf"\g<1>{value:_};", source) + if count != 1: + raise AssertionError(f"{name}: expected one definition, replaced {count}") + return updated + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--stream", type=Path, required=True) + parser.add_argument("--source-root", type=Path, required=True) + args = parser.parse_args() + + aggregate_path = args.stream / "aggregate.json" + aggregate = json.loads(aggregate_path.read_text(encoding="utf-8")) + assert aggregate["chunk_count"] == EXPECTED_CHUNKS + assert aggregate["schedule_steps"] == EXPECTED_STEPS + assert aggregate["local_width"] == EXPECTED_LOCAL_WIDTH + assert aggregate["aux_size"] == EXPECTED_AUX + + chunks = sorted(args.stream.glob("chunk-*.zst")) + reports = sorted(args.stream.glob("chunk-*.zst.json")) + assert len(chunks) == len(reports) == EXPECTED_CHUNKS + + destination = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_exactwidth_data" + ) + for path in chunks + reports: + shutil.copy2(path, destination / path.name) + shutil.copy2(aggregate_path, destination / "aggregate.json") + shutil.copy2(aggregate_path, destination / "aggregate_manifest.json") + reduction_manifest = args.stream / "reduction_manifest.json" + if reduction_manifest.is_file(): + shutil.copy2( + reduction_manifest, + destination / "reduction_manifest.json", + ) + + verifier_source = Path(__file__).resolve().parent + shutil.copy2( + verifier_source / "verify_q818_stream.py", + destination / "verify_exactwidth_stream.py", + ) + shutil.copy2( + verifier_source / "verify_q819_stream.py", + destination / "verify_q819_stream.py", + ) + + primitive = aggregate["primitive_counts"] + markers = int(primitive["clean_c3x_mbu"]) + values = { + "AUX_WIDTH": EXPECTED_AUX, + "CORE_WIDTH": EXPECTED_LOCAL_WIDTH - EXPECTED_DIRTY, + "STREAM_RECORDS_PER_TRAVERSAL": int(aggregate["records_per_traversal"]), + "STREAM_X_PER_TRAVERSAL": int(primitive["x"]), + "STREAM_CX_PER_TRAVERSAL": int(primitive["cx"]), + "STREAM_CCX_PER_TRAVERSAL": int(primitive["ccx"]) + 2 * markers, + "STREAM_HMR_PER_TRAVERSAL": markers, + "STREAM_CZ_PER_TRAVERSAL": markers, + } + rust_path = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_eea.rs" + ) + source = rust_path.read_text(encoding="utf-8") + for name, value in values.items(): + source = replace_constant(source, name, value) + rust_path.write_text(source, encoding="utf-8") + + print( + "PASS installed Q817 Aux5 stream " + f"records={aggregate['records_per_traversal']} " + f"toffoli={aggregate['executed_toffoli_per_traversal']} " + f"local_width={aggregate['local_width']}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux7_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux7_stream.py new file mode 100644 index 00000000..ca26eb9d --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux7_stream.py @@ -0,0 +1,87 @@ +#!/usr/bin/env python3 +"""Install a verified Aux7 stream and synchronize the Rust count constants.""" + +from __future__ import annotations + +import argparse +import json +from pathlib import Path +import re +import shutil + + +EXPECTED_CHUNKS = 36 +EXPECTED_STEPS = 1616 +EXPECTED_LOCAL_WIDTH = 573 +EXPECTED_AUX = 7 +EXPECTED_DIRTY = 10 + + +def replace_constant(source: str, name: str, value: int) -> str: + pattern = re.compile(rf"^(const {re.escape(name)}: usize = )[0-9_]+;$", re.MULTILINE) + updated, count = pattern.subn(rf"\g<1>{value:_};", source) + if count != 1: + raise AssertionError(f"{name}: expected one definition, replaced {count}") + return updated + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--stream", type=Path, required=True) + parser.add_argument("--source-root", type=Path, required=True) + args = parser.parse_args() + + aggregate_path = args.stream / "aggregate.json" + aggregate = json.loads(aggregate_path.read_text(encoding="utf-8")) + assert aggregate["chunk_count"] == EXPECTED_CHUNKS + assert aggregate["schedule_steps"] == EXPECTED_STEPS + assert aggregate["local_width"] == EXPECTED_LOCAL_WIDTH + assert aggregate["aux_size"] == EXPECTED_AUX + + chunks = sorted(args.stream.glob("chunk-*.zst")) + reports = sorted(args.stream.glob("chunk-*.zst.json")) + assert len(chunks) == len(reports) == EXPECTED_CHUNKS + + destination = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_exactwidth_data" + ) + for path in chunks + reports: + shutil.copy2(path, destination / path.name) + shutil.copy2(aggregate_path, destination / "aggregate.json") + shutil.copy2(aggregate_path, destination / "aggregate_manifest.json") + shutil.copy2( + Path(__file__).resolve().parent / "verify_q819_stream.py", + destination / "verify_exactwidth_stream.py", + ) + + primitive = aggregate["primitive_counts"] + markers = int(primitive["clean_c3x_mbu"]) + values = { + "AUX_WIDTH": EXPECTED_AUX, + "CORE_WIDTH": EXPECTED_LOCAL_WIDTH - EXPECTED_DIRTY, + "STREAM_X_PER_TRAVERSAL": int(primitive["x"]), + "STREAM_CX_PER_TRAVERSAL": int(primitive["cx"]), + "STREAM_CCX_PER_TRAVERSAL": int(primitive["ccx"]) + 2 * markers, + "STREAM_HMR_PER_TRAVERSAL": markers, + "STREAM_CZ_PER_TRAVERSAL": markers, + } + rust_path = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_eea.rs" + ) + source = rust_path.read_text(encoding="utf-8") + for name, value in values.items(): + source = replace_constant(source, name, value) + rust_path.write_text(source, encoding="utf-8") + + print( + "PASS installed Aux7 stream " + f"records={aggregate['records_per_traversal']} " + f"toffoli={aggregate['executed_toffoli_per_traversal']} " + f"local_width={aggregate['local_width']}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux8_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux8_stream.py new file mode 100644 index 00000000..d9717855 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/integrate_aux8_stream.py @@ -0,0 +1,83 @@ +#!/usr/bin/env python3 +"""Install a verified Aux8 stream and synchronize the Rust count constants.""" + +from __future__ import annotations + +import argparse +import json +from pathlib import Path +import re +import shutil + + +EXPECTED_CHUNKS = 36 +EXPECTED_STEPS = 1616 +EXPECTED_LOCAL_WIDTH = 574 +EXPECTED_AUX = 8 +EXPECTED_DIRTY = 10 + + +def replace_constant(source: str, name: str, value: int) -> str: + pattern = re.compile(rf"^(const {re.escape(name)}: usize = )[0-9_]+;$", re.MULTILINE) + updated, count = pattern.subn(rf"\g<1>{value:_};", source) + if count != 1: + raise AssertionError(f"{name}: expected one definition, replaced {count}") + return updated + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--stream", type=Path, required=True) + parser.add_argument("--source-root", type=Path, required=True) + args = parser.parse_args() + + aggregate_path = args.stream / "aggregate.json" + aggregate = json.loads(aggregate_path.read_text(encoding="utf-8")) + assert aggregate["chunk_count"] == EXPECTED_CHUNKS + assert aggregate["schedule_steps"] == EXPECTED_STEPS + assert aggregate["local_width"] == EXPECTED_LOCAL_WIDTH + assert aggregate["aux_size"] == EXPECTED_AUX + + chunks = sorted(args.stream.glob("chunk-*.zst")) + reports = sorted(args.stream.glob("chunk-*.zst.json")) + assert len(chunks) == len(reports) == EXPECTED_CHUNKS + + destination = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_exactwidth_data" + ) + for path in chunks + reports: + shutil.copy2(path, destination / path.name) + shutil.copy2(aggregate_path, destination / "aggregate.json") + shutil.copy2(aggregate_path, destination / "aggregate_manifest.json") + + primitive = aggregate["primitive_counts"] + markers = int(primitive["clean_c3x_mbu"]) + values = { + "AUX_WIDTH": EXPECTED_AUX, + "CORE_WIDTH": EXPECTED_LOCAL_WIDTH - EXPECTED_DIRTY, + "STREAM_X_PER_TRAVERSAL": int(primitive["x"]), + "STREAM_CX_PER_TRAVERSAL": int(primitive["cx"]), + "STREAM_CCX_PER_TRAVERSAL": int(primitive["ccx"]) + 2 * markers, + "STREAM_HMR_PER_TRAVERSAL": markers, + "STREAM_CZ_PER_TRAVERSAL": markers, + } + rust_path = ( + args.source_root + / "src/point_add/trailmix_port/inversion/paper2607_eea.rs" + ) + source = rust_path.read_text(encoding="utf-8") + for name, value in values.items(): + source = replace_constant(source, name, value) + rust_path.write_text(source, encoding="utf-8") + + print( + "PASS installed Aux8 stream " + f"records={aggregate['records_per_traversal']} " + f"toffoli={aggregate['executed_toffoli_per_traversal']} " + f"local_width={aggregate['local_width']}" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/paper2607-probe-output.txt b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607-probe-output.txt new file mode 100644 index 00000000..46da0dec --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607-probe-output.txt @@ -0,0 +1,10 @@ +x=1 iter=1 padding=592 work2=00000000000000000000000000000000000000000000000000000000000000001 +x=2 iter=0 padding=588 work2=07fffffffffffffffffffffffffffffffffffffffffffffffffffffff7ffffe17 +x=3 iter=0 padding=588 work2=055555555555555555555555555555555555555555555555555555554fffffeba +x=123456789abcdef iter=1 padding=544 work2=0068835bccce646b8263a96bce4c8935bfd27e7d360d2b99952913dfe1fd88381 +x=6a09e667f3bcc908b2fb1366ea957d3e3adec17512775099da2f590a9c5d4a30 iter=0 padding=116 work2=06bd3bbc163388b5b1a3f99d4e77cd830f1fcdaccfcf1c5a368b01b9c2958e0ab +x=5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef iter=1 padding=92 work2=05c1a68bbac19851c88b5d99e7fe5130c28896cdde8f6290148229dc98b90ec5f +x=5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d950963b iter=1 padding=80 work2=039f446d8bdd9290c99679c759360c79e8a25ddb1c7f9798363ee0af421e507e6 +x=fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e iter=0 padding=592 work2=00000000000000000000000000000000000000000000000000000000000000001 +x=d8f9f1d8b4f19c7a85c62a9b91f4eaa85283f694052036319488ed8fe28f2241 iter=0 padding=288 work2=027462644d69003ba725575c8e5afc736a8c3b80fb23361848b2d3ad160beb3f3 +PASS cases=9 forward_reverse=exact diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux10_stream_probe_bitslice.c b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux10_stream_probe_bitslice.c new file mode 100644 index 00000000..cd4e265b --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux10_stream_probe_bitslice.c @@ -0,0 +1,281 @@ +#include +#include +#include +#include +#include + +enum { + WIDTH = 576, + WORK_WIDTH = 259, + WORK1_START = 4, + WORK2_START = 263, + LT_START = 522, + LQ_START = 530, + LS_START = 539, + LRP_START = 548, + AUX_START = 556, + DIRTY_START = 566, + LT_WIDTH = 8, + LQ_WIDTH = 9, + LS_WIDTH = 9, + LRP_WIDTH = 8, + AUX_WIDTH = 10, + DIRTY_WIDTH = 10, + SHIFT_MODULUS = 259, + SCHEDULE_STEPS = 1616, + CASE_COUNT = 9, + ALL_CASES = (1U << CASE_COUNT) - 1, +}; + +typedef uint16_t lane_t; + +static const unsigned char P_LE[32] = { + 0x2f, 0xfc, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +static unsigned hex_nibble(char c); +static unsigned bit_p(unsigned i) { return (P_LE[i / 8] >> (i % 8)) & 1; } +static unsigned dirty_bit(unsigned case_index, unsigned bit) { + return (unsigned)((case_index * 13U + bit * 7U + 1U) & 1U); +} + +static void parse_hex_le32(const char *text, unsigned char out[32]) { + memset(out, 0, 32); + const char *digits = text; + while (*digits == '0' && digits[1] != '\0') digits++; + size_t count = strlen(digits); + assert(count > 0 && count <= 64); + for (size_t digit = 0; digit < count; digit++) { + unsigned value = hex_nibble(digits[count - 1 - digit]); + unsigned byte = (unsigned)digit / 2; + unsigned shift = 4 * ((unsigned)digit & 1); + out[byte] |= (unsigned char)(value << shift); + } +} + +static int compare_le32(const unsigned char a[32], const unsigned char b[32]) { + for (int i = 31; i >= 0; i--) { + if (a[i] != b[i]) return a[i] > b[i] ? 1 : -1; + } + return 0; +} + +static void subtract_le32(const unsigned char a[32], const unsigned char b[32], + unsigned char out[32]) { + unsigned borrow = 0; + for (unsigned i = 0; i < 32; i++) { + unsigned sub = (unsigned)b[i] + borrow; + out[i] = (unsigned char)((unsigned)a[i] - sub); + borrow = (unsigned)a[i] < sub; + } + assert(borrow == 0); +} + +static unsigned bit_length_le32(const unsigned char value[32]) { + for (int byte = 31; byte >= 0; byte--) { + if (value[byte] != 0) { + unsigned top = value[byte]; + unsigned bits = 0; + while (top != 0) { + bits++; + top >>= 1; + } + return 8U * (unsigned)byte + bits; + } + } + return 0; +} + +static unsigned lane_bit(const lane_t state[WIDTH], unsigned lane, unsigned case_index) { + return (unsigned)((state[lane] >> case_index) & 1U); +} + +static unsigned reg_value(const lane_t state[WIDTH], unsigned start, unsigned width, + unsigned case_index) { + unsigned value = 0; + for (unsigned i = 0; i < width; i++) + value |= lane_bit(state, start + i, case_index) << i; + return value; +} + +static void apply_record(lane_t state[WIDTH], uint64_t word) { + unsigned kind = word & 15; + unsigned arity = (word >> 4) & 15; + unsigned q0 = (word >> 8) & 1023; + unsigned q1 = (word >> 18) & 1023; + unsigned q2 = (word >> 28) & 1023; + unsigned q3 = (word >> 38) & 1023; + unsigned q4 = (word >> 48) & 1023; + assert(q0 < WIDTH); + if (kind == 1 && arity == 1) { + state[q0] ^= ALL_CASES; + } else if (kind == 2 && arity == 2) { + assert(q1 < WIDTH); + state[q1] ^= state[q0]; + } else if (kind == 3 && arity == 3) { + assert(q1 < WIDTH && q2 < WIDTH); + state[q2] ^= state[q0] & state[q1]; + } else if (kind == 7 && arity == 5) { + assert(q1 < WIDTH && q2 < WIDTH && q3 < WIDTH && q4 < WIDTH); + assert(state[q4] == 0); + state[q3] ^= state[q0] & state[q1] & state[q2]; + assert(state[q4] == 0); + } else { + fprintf(stderr, "bad primitive %u/%u\n", kind, arity); + exit(2); + } +} + +static unsigned char *decode(const char *path, size_t *size_out) { + FILE *f = fopen(path, "rb"); + assert(f); + fseek(f, 0, SEEK_END); + long raw_size = ftell(f); + rewind(f); + unsigned char *decoded = malloc((size_t)raw_size); + assert(decoded); + assert(fread(decoded, 1, (size_t)raw_size, f) == (size_t)raw_size); + fclose(f); + *size_out = (size_t)raw_size; + return decoded; +} + +static void run_chunks(lane_t state[WIDTH], int reverse, int argc, char **argv) { + unsigned expected = reverse ? SCHEDULE_STEPS : 1; + for (int k = 0; k < argc; k++) { + int arg = reverse ? argc - 1 - k : k; + size_t size; + unsigned char *raw = decode(argv[arg], &size); + assert(size >= 24 && !memcmp(raw, "P26EEA2\0", 8) && (size - 24) % 8 == 0); + assert(*(uint32_t *)(raw + 8) == 256); + assert(*(uint32_t *)(raw + 12) == WIDTH); + unsigned start = *(uint32_t *)(raw + 16); + unsigned end = *(uint32_t *)(raw + 20); + if (reverse) { + assert(end == expected); + expected = start - 1; + } else { + assert(start == expected); + expected = end + 1; + } + size_t count = (size - 24) / 8; + for (size_t j = 0; j < count; j++) { + size_t record = reverse ? count - 1 - j : j; + uint64_t word; + memcpy(&word, raw + 24 + 8 * record, 8); + apply_record(state, word); + } + free(raw); + } + assert(expected == (reverse ? 0 : SCHEDULE_STEPS + 1)); +} + +static void rotate_right(lane_t *out, const lane_t *in, unsigned amount) { + amount %= WORK_WIDTH; + for (unsigned i = 0; i < WORK_WIDTH; i++) out[(i + amount) % WORK_WIDTH] = in[i]; +} + +static void print_work2_hex(const lane_t work2[WORK_WIDTH], unsigned case_index) { + for (int nibble = 64; nibble >= 0; nibble--) { + unsigned value = 0; + for (unsigned bit = 0; bit < 4; bit++) { + unsigned lane = (unsigned)nibble * 4 + bit; + if (lane < WORK_WIDTH) value |= lane_bit(work2, lane, case_index) << bit; + } + printf("%x", value); + } +} + +static unsigned hex_nibble(char c) { + if (c >= '0' && c <= '9') return (unsigned)(c - '0'); + if (c >= 'a' && c <= 'f') return (unsigned)(c - 'a' + 10); + if (c >= 'A' && c <= 'F') return (unsigned)(c - 'A' + 10); + fprintf(stderr, "invalid hex digit: %c\n", c); + exit(2); +} + +static void initialize_case(lane_t initial[WIDTH], unsigned case_index, const char *x_hex) { + unsigned char x[32], half[32], used[32]; + lane_t mask = (lane_t)1U << case_index; + parse_hex_le32(x_hex, x); + unsigned carry = 0; + for (int i = 31; i >= 0; i--) { + unsigned combined = carry * 256U + P_LE[i]; + half[i] = (unsigned char)(combined >> 1); + carry = combined & 1; + } + int high_half = compare_le32(x, half) > 0; + if (high_half) { + subtract_le32(P_LE, x, used); + initial[2] |= mask; + } else { + memcpy(used, x, 32); + } + unsigned bitlen = bit_length_le32(used); + assert(bitlen > 0); + initial[WORK1_START] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if (bit_p(bit)) initial[WORK1_START + 258 - bit] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if ((used[bit / 8] >> (bit % 8)) & 1) initial[WORK2_START + 258 - bit] |= mask; + for (unsigned i = 0; i < LQ_WIDTH; i++) initial[LQ_START + i] |= mask; + unsigned shift_zero = SHIFT_MODULUS - 1; + for (unsigned i = 0; i < LS_WIDTH; i++) + if ((shift_zero >> i) & 1U) initial[LS_START + i] |= mask; + unsigned encoded = bitlen - 1; + for (unsigned i = 0; i < LRP_WIDTH; i++) + if ((encoded >> i) & 1) initial[LRP_START + i] |= mask; + for (unsigned i = 0; i < DIRTY_WIDTH; i++) + if (dirty_bit(case_index, i)) initial[DIRTY_START + i] |= mask; +} + +static void inspect_case(const lane_t state[WIDTH], unsigned case_index, const char *x_hex) { + assert(lane_bit(state, 0, case_index) == 0); + assert(lane_bit(state, 1, case_index) == 0); + assert(lane_bit(state, 3, case_index) == 0); + for (unsigned i = 0; i < AUX_WIDTH; i++) + assert(lane_bit(state, AUX_START + i, case_index) == 0); + for (unsigned i = 0; i < DIRTY_WIDTH; i++) + assert(lane_bit(state, DIRTY_START + i, case_index) == + dirty_bit(case_index, i)); + assert(reg_value(state, LT_START, LT_WIDTH, case_index) == 255); + assert(reg_value(state, LQ_START, LQ_WIDTH, case_index) == 511); + assert(reg_value(state, LRP_START, LRP_WIDTH, case_index) == 255); + + unsigned padding = + (reg_value(state, LS_START, LS_WIDTH, case_index) + 1) % SHIFT_MODULUS; + lane_t canonical[WORK_WIDTH] = {0}; + rotate_right(canonical, state + WORK2_START, padding); + printf("x=%s iter=%u padding=%u work2=", x_hex, + lane_bit(state, 2, case_index), padding); + print_work2_hex(canonical, case_index); + printf("\n"); +} + +int main(int argc, char **argv) { + assert(argc >= 2); + const char *cases[CASE_COUNT] = { + "1", + "2", + "3", + "123456789abcdef", + "6a09e667f3bcc908b2fb1366ea957d3e3adec17512775099da2f590a9c5d4a30", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d950963b", + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + "d8f9f1d8b4f19c7a85c62a9b91f4eaa85283f694052036319488ed8fe28f2241", + }; + lane_t initial[WIDTH] = {0}; + lane_t state[WIDTH]; + for (unsigned i = 0; i < CASE_COUNT; i++) initialize_case(initial, i, cases[i]); + memcpy(state, initial, sizeof(state)); + run_chunks(state, 0, argc - 1, argv + 1); + for (unsigned i = 0; i < CASE_COUNT; i++) inspect_case(state, i, cases[i]); + run_chunks(state, 1, argc - 1, argv + 1); + assert(!memcmp(state, initial, sizeof(state))); + printf("PASS cases=%u forward_reverse=exact\n", CASE_COUNT); + return 0; +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux11_stream_probe_bitslice.c b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux11_stream_probe_bitslice.c new file mode 100644 index 00000000..f534fe51 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux11_stream_probe_bitslice.c @@ -0,0 +1,306 @@ +#include +#include +#include +#include +#include +#include + +enum { + WIDTH = 577, + WORK_WIDTH = 259, + WORK1_START = 4, + WORK2_START = 263, + LT_START = 522, + LQ_START = 530, + LS_START = 539, + LRP_START = 548, + AUX_START = 556, + DIRTY_START = 567, + LT_WIDTH = 8, + LQ_WIDTH = 9, + LS_WIDTH = 9, + LRP_WIDTH = 8, + AUX_WIDTH = 11, + DIRTY_WIDTH = 10, + SHIFT_MODULUS = 259, + SCHEDULE_STEPS = 1616, + CASE_COUNT = 9, + ALL_CASES = (1U << CASE_COUNT) - 1, +}; + +typedef uint16_t lane_t; + +static const unsigned char P_LE[32] = { + 0x2f, 0xfc, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +static unsigned hex_nibble(char c); +static unsigned bit_p(unsigned i) { return (P_LE[i / 8] >> (i % 8)) & 1; } +static unsigned dirty_bit(unsigned case_index, unsigned bit) { + return (unsigned)((case_index * 13U + bit * 7U + 1U) & 1U); +} + +static void parse_hex_le32(const char *text, unsigned char out[32]) { + memset(out, 0, 32); + const char *digits = text; + while (*digits == '0' && digits[1] != '\0') digits++; + size_t count = strlen(digits); + assert(count > 0 && count <= 64); + for (size_t digit = 0; digit < count; digit++) { + unsigned value = hex_nibble(digits[count - 1 - digit]); + unsigned byte = (unsigned)digit / 2; + unsigned shift = 4 * ((unsigned)digit & 1); + out[byte] |= (unsigned char)(value << shift); + } +} + +static int compare_le32(const unsigned char a[32], const unsigned char b[32]) { + for (int i = 31; i >= 0; i--) { + if (a[i] != b[i]) return a[i] > b[i] ? 1 : -1; + } + return 0; +} + +static void subtract_le32(const unsigned char a[32], const unsigned char b[32], + unsigned char out[32]) { + unsigned borrow = 0; + for (unsigned i = 0; i < 32; i++) { + unsigned sub = (unsigned)b[i] + borrow; + out[i] = (unsigned char)((unsigned)a[i] - sub); + borrow = (unsigned)a[i] < sub; + } + assert(borrow == 0); +} + +static unsigned bit_length_le32(const unsigned char value[32]) { + for (int byte = 31; byte >= 0; byte--) { + if (value[byte] != 0) { + unsigned top = value[byte]; + unsigned bits = 0; + while (top != 0) { + bits++; + top >>= 1; + } + return 8U * (unsigned)byte + bits; + } + } + return 0; +} + +static unsigned lane_bit(const lane_t state[WIDTH], unsigned lane, unsigned case_index) { + return (unsigned)((state[lane] >> case_index) & 1U); +} + +static unsigned reg_value(const lane_t state[WIDTH], unsigned start, unsigned width, + unsigned case_index) { + unsigned value = 0; + for (unsigned i = 0; i < width; i++) + value |= lane_bit(state, start + i, case_index) << i; + return value; +} + +static void apply_record(lane_t state[WIDTH], uint64_t word) { + unsigned kind = word & 15; + unsigned arity = (word >> 4) & 15; + unsigned q0 = (word >> 8) & 1023; + unsigned q1 = (word >> 18) & 1023; + unsigned q2 = (word >> 28) & 1023; + unsigned q3 = (word >> 38) & 1023; + unsigned q4 = (word >> 48) & 1023; + assert(q0 < WIDTH); + if (kind == 1 && arity == 1) { + state[q0] ^= ALL_CASES; + } else if (kind == 2 && arity == 2) { + assert(q1 < WIDTH); + state[q1] ^= state[q0]; + } else if (kind == 3 && arity == 3) { + assert(q1 < WIDTH && q2 < WIDTH); + state[q2] ^= state[q0] & state[q1]; + } else if (kind == 7 && arity == 5) { + assert(q1 < WIDTH && q2 < WIDTH && q3 < WIDTH && q4 < WIDTH); + assert(state[q4] == 0); + state[q3] ^= state[q0] & state[q1] & state[q2]; + assert(state[q4] == 0); + } else { + fprintf(stderr, "bad primitive %u/%u\n", kind, arity); + exit(2); + } +} + +static unsigned char *decode(const char *path, size_t *size_out) { + FILE *f = fopen(path, "rb"); + assert(f); + fseek(f, 0, SEEK_END); + long compressed_size = ftell(f); + rewind(f); + unsigned char *compressed = malloc((size_t)compressed_size); + assert(compressed); + assert(fread(compressed, 1, (size_t)compressed_size, f) == (size_t)compressed_size); + fclose(f); + ZSTD_DStream *stream = ZSTD_createDStream(); + assert(stream); + size_t status = ZSTD_initDStream(stream); + assert(!ZSTD_isError(status)); + size_t capacity = ZSTD_DStreamOutSize(); + unsigned char *decoded = malloc(capacity); + assert(decoded); + size_t used = 0; + ZSTD_inBuffer input = { compressed, (size_t)compressed_size, 0 }; + while (input.pos < input.size) { + if (capacity - used < ZSTD_DStreamOutSize()) { + capacity *= 2; + decoded = realloc(decoded, capacity); + assert(decoded); + } + ZSTD_outBuffer output = { decoded + used, capacity - used, 0 }; + status = ZSTD_decompressStream(stream, &output, &input); + assert(!ZSTD_isError(status)); + assert(output.pos != 0 || input.pos == input.size); + used += output.pos; + } + assert(status == 0); + ZSTD_freeDStream(stream); + free(compressed); + *size_out = used; + return decoded; +} + +static void run_chunks(lane_t state[WIDTH], int reverse, int argc, char **argv) { + unsigned expected = reverse ? SCHEDULE_STEPS : 1; + for (int k = 0; k < argc; k++) { + int arg = reverse ? argc - 1 - k : k; + size_t size; + unsigned char *raw = decode(argv[arg], &size); + assert(size >= 24 && !memcmp(raw, "P26EEA2\0", 8) && (size - 24) % 8 == 0); + assert(*(uint32_t *)(raw + 8) == 256); + assert(*(uint32_t *)(raw + 12) == WIDTH); + unsigned start = *(uint32_t *)(raw + 16); + unsigned end = *(uint32_t *)(raw + 20); + if (reverse) { + assert(end == expected); + expected = start - 1; + } else { + assert(start == expected); + expected = end + 1; + } + size_t count = (size - 24) / 8; + for (size_t j = 0; j < count; j++) { + size_t record = reverse ? count - 1 - j : j; + uint64_t word; + memcpy(&word, raw + 24 + 8 * record, 8); + apply_record(state, word); + } + free(raw); + } + assert(expected == (reverse ? 0 : SCHEDULE_STEPS + 1)); +} + +static void rotate_right(lane_t *out, const lane_t *in, unsigned amount) { + amount %= WORK_WIDTH; + for (unsigned i = 0; i < WORK_WIDTH; i++) out[(i + amount) % WORK_WIDTH] = in[i]; +} + +static void print_work2_hex(const lane_t work2[WORK_WIDTH], unsigned case_index) { + for (int nibble = 64; nibble >= 0; nibble--) { + unsigned value = 0; + for (unsigned bit = 0; bit < 4; bit++) { + unsigned lane = (unsigned)nibble * 4 + bit; + if (lane < WORK_WIDTH) value |= lane_bit(work2, lane, case_index) << bit; + } + printf("%x", value); + } +} + +static unsigned hex_nibble(char c) { + if (c >= '0' && c <= '9') return (unsigned)(c - '0'); + if (c >= 'a' && c <= 'f') return (unsigned)(c - 'a' + 10); + if (c >= 'A' && c <= 'F') return (unsigned)(c - 'A' + 10); + fprintf(stderr, "invalid hex digit: %c\n", c); + exit(2); +} + +static void initialize_case(lane_t initial[WIDTH], unsigned case_index, const char *x_hex) { + unsigned char x[32], half[32], used[32]; + lane_t mask = (lane_t)1U << case_index; + parse_hex_le32(x_hex, x); + unsigned carry = 0; + for (int i = 31; i >= 0; i--) { + unsigned combined = carry * 256U + P_LE[i]; + half[i] = (unsigned char)(combined >> 1); + carry = combined & 1; + } + int high_half = compare_le32(x, half) > 0; + if (high_half) { + subtract_le32(P_LE, x, used); + initial[2] |= mask; + } else { + memcpy(used, x, 32); + } + unsigned bitlen = bit_length_le32(used); + assert(bitlen > 0); + initial[WORK1_START] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if (bit_p(bit)) initial[WORK1_START + 258 - bit] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if ((used[bit / 8] >> (bit % 8)) & 1) initial[WORK2_START + 258 - bit] |= mask; + for (unsigned i = 0; i < LQ_WIDTH; i++) initial[LQ_START + i] |= mask; + unsigned shift_zero = SHIFT_MODULUS - 1; + for (unsigned i = 0; i < LS_WIDTH; i++) + if ((shift_zero >> i) & 1U) initial[LS_START + i] |= mask; + unsigned encoded = bitlen - 1; + for (unsigned i = 0; i < LRP_WIDTH; i++) + if ((encoded >> i) & 1) initial[LRP_START + i] |= mask; + for (unsigned i = 0; i < DIRTY_WIDTH; i++) + if (dirty_bit(case_index, i)) initial[DIRTY_START + i] |= mask; +} + +static void inspect_case(const lane_t state[WIDTH], unsigned case_index, const char *x_hex) { + assert(lane_bit(state, 0, case_index) == 0); + assert(lane_bit(state, 1, case_index) == 0); + assert(lane_bit(state, 3, case_index) == 0); + for (unsigned i = 0; i < AUX_WIDTH; i++) + assert(lane_bit(state, AUX_START + i, case_index) == 0); + for (unsigned i = 0; i < DIRTY_WIDTH; i++) + assert(lane_bit(state, DIRTY_START + i, case_index) == + dirty_bit(case_index, i)); + assert(reg_value(state, LT_START, LT_WIDTH, case_index) == 255); + assert(reg_value(state, LQ_START, LQ_WIDTH, case_index) == 511); + assert(reg_value(state, LRP_START, LRP_WIDTH, case_index) == 255); + + unsigned padding = + (reg_value(state, LS_START, LS_WIDTH, case_index) + 1) % SHIFT_MODULUS; + lane_t canonical[WORK_WIDTH] = {0}; + rotate_right(canonical, state + WORK2_START, padding); + printf("x=%s iter=%u padding=%u work2=", x_hex, + lane_bit(state, 2, case_index), padding); + print_work2_hex(canonical, case_index); + printf("\n"); +} + +int main(int argc, char **argv) { + assert(argc >= 2); + const char *cases[CASE_COUNT] = { + "1", + "2", + "3", + "123456789abcdef", + "6a09e667f3bcc908b2fb1366ea957d3e3adec17512775099da2f590a9c5d4a30", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d950963b", + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + "d8f9f1d8b4f19c7a85c62a9b91f4eaa85283f694052036319488ed8fe28f2241", + }; + lane_t initial[WIDTH] = {0}; + lane_t state[WIDTH]; + for (unsigned i = 0; i < CASE_COUNT; i++) initialize_case(initial, i, cases[i]); + memcpy(state, initial, sizeof(state)); + run_chunks(state, 0, argc - 1, argv + 1); + for (unsigned i = 0; i < CASE_COUNT; i++) inspect_case(state, i, cases[i]); + run_chunks(state, 1, argc - 1, argv + 1); + assert(!memcmp(state, initial, sizeof(state))); + printf("PASS cases=%u forward_reverse=exact\n", CASE_COUNT); + return 0; +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux8_stream_probe_bitslice.c b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux8_stream_probe_bitslice.c new file mode 100644 index 00000000..32923148 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_aux8_stream_probe_bitslice.c @@ -0,0 +1,281 @@ +#include +#include +#include +#include +#include + +enum { + WIDTH = 574, + WORK_WIDTH = 259, + WORK1_START = 4, + WORK2_START = 263, + LT_START = 522, + LQ_START = 530, + LS_START = 539, + LRP_START = 548, + AUX_START = 556, + DIRTY_START = 564, + LT_WIDTH = 8, + LQ_WIDTH = 9, + LS_WIDTH = 9, + LRP_WIDTH = 8, + AUX_WIDTH = 8, + DIRTY_WIDTH = 10, + SHIFT_MODULUS = 259, + SCHEDULE_STEPS = 1616, + CASE_COUNT = 9, + ALL_CASES = (1U << CASE_COUNT) - 1, +}; + +typedef uint16_t lane_t; + +static const unsigned char P_LE[32] = { + 0x2f, 0xfc, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +static unsigned hex_nibble(char c); +static unsigned bit_p(unsigned i) { return (P_LE[i / 8] >> (i % 8)) & 1; } +static unsigned dirty_bit(unsigned case_index, unsigned bit) { + return (unsigned)((case_index * 13U + bit * 7U + 1U) & 1U); +} + +static void parse_hex_le32(const char *text, unsigned char out[32]) { + memset(out, 0, 32); + const char *digits = text; + while (*digits == '0' && digits[1] != '\0') digits++; + size_t count = strlen(digits); + assert(count > 0 && count <= 64); + for (size_t digit = 0; digit < count; digit++) { + unsigned value = hex_nibble(digits[count - 1 - digit]); + unsigned byte = (unsigned)digit / 2; + unsigned shift = 4 * ((unsigned)digit & 1); + out[byte] |= (unsigned char)(value << shift); + } +} + +static int compare_le32(const unsigned char a[32], const unsigned char b[32]) { + for (int i = 31; i >= 0; i--) { + if (a[i] != b[i]) return a[i] > b[i] ? 1 : -1; + } + return 0; +} + +static void subtract_le32(const unsigned char a[32], const unsigned char b[32], + unsigned char out[32]) { + unsigned borrow = 0; + for (unsigned i = 0; i < 32; i++) { + unsigned sub = (unsigned)b[i] + borrow; + out[i] = (unsigned char)((unsigned)a[i] - sub); + borrow = (unsigned)a[i] < sub; + } + assert(borrow == 0); +} + +static unsigned bit_length_le32(const unsigned char value[32]) { + for (int byte = 31; byte >= 0; byte--) { + if (value[byte] != 0) { + unsigned top = value[byte]; + unsigned bits = 0; + while (top != 0) { + bits++; + top >>= 1; + } + return 8U * (unsigned)byte + bits; + } + } + return 0; +} + +static unsigned lane_bit(const lane_t state[WIDTH], unsigned lane, unsigned case_index) { + return (unsigned)((state[lane] >> case_index) & 1U); +} + +static unsigned reg_value(const lane_t state[WIDTH], unsigned start, unsigned width, + unsigned case_index) { + unsigned value = 0; + for (unsigned i = 0; i < width; i++) + value |= lane_bit(state, start + i, case_index) << i; + return value; +} + +static void apply_record(lane_t state[WIDTH], uint64_t word) { + unsigned kind = word & 15; + unsigned arity = (word >> 4) & 15; + unsigned q0 = (word >> 8) & 1023; + unsigned q1 = (word >> 18) & 1023; + unsigned q2 = (word >> 28) & 1023; + unsigned q3 = (word >> 38) & 1023; + unsigned q4 = (word >> 48) & 1023; + assert(q0 < WIDTH); + if (kind == 1 && arity == 1) { + state[q0] ^= ALL_CASES; + } else if (kind == 2 && arity == 2) { + assert(q1 < WIDTH); + state[q1] ^= state[q0]; + } else if (kind == 3 && arity == 3) { + assert(q1 < WIDTH && q2 < WIDTH); + state[q2] ^= state[q0] & state[q1]; + } else if (kind == 7 && arity == 5) { + assert(q1 < WIDTH && q2 < WIDTH && q3 < WIDTH && q4 < WIDTH); + assert(state[q4] == 0); + state[q3] ^= state[q0] & state[q1] & state[q2]; + assert(state[q4] == 0); + } else { + fprintf(stderr, "bad primitive %u/%u\n", kind, arity); + exit(2); + } +} + +static unsigned char *decode(const char *path, size_t *size_out) { + FILE *f = fopen(path, "rb"); + assert(f); + fseek(f, 0, SEEK_END); + long raw_size = ftell(f); + rewind(f); + unsigned char *decoded = malloc((size_t)raw_size); + assert(decoded); + assert(fread(decoded, 1, (size_t)raw_size, f) == (size_t)raw_size); + fclose(f); + *size_out = (size_t)raw_size; + return decoded; +} + +static void run_chunks(lane_t state[WIDTH], int reverse, int argc, char **argv) { + unsigned expected = reverse ? SCHEDULE_STEPS : 1; + for (int k = 0; k < argc; k++) { + int arg = reverse ? argc - 1 - k : k; + size_t size; + unsigned char *raw = decode(argv[arg], &size); + assert(size >= 24 && !memcmp(raw, "P26EEA2\0", 8) && (size - 24) % 8 == 0); + assert(*(uint32_t *)(raw + 8) == 256); + assert(*(uint32_t *)(raw + 12) == WIDTH); + unsigned start = *(uint32_t *)(raw + 16); + unsigned end = *(uint32_t *)(raw + 20); + if (reverse) { + assert(end == expected); + expected = start - 1; + } else { + assert(start == expected); + expected = end + 1; + } + size_t count = (size - 24) / 8; + for (size_t j = 0; j < count; j++) { + size_t record = reverse ? count - 1 - j : j; + uint64_t word; + memcpy(&word, raw + 24 + 8 * record, 8); + apply_record(state, word); + } + free(raw); + } + assert(expected == (reverse ? 0 : SCHEDULE_STEPS + 1)); +} + +static void rotate_right(lane_t *out, const lane_t *in, unsigned amount) { + amount %= WORK_WIDTH; + for (unsigned i = 0; i < WORK_WIDTH; i++) out[(i + amount) % WORK_WIDTH] = in[i]; +} + +static void print_work2_hex(const lane_t work2[WORK_WIDTH], unsigned case_index) { + for (int nibble = 64; nibble >= 0; nibble--) { + unsigned value = 0; + for (unsigned bit = 0; bit < 4; bit++) { + unsigned lane = (unsigned)nibble * 4 + bit; + if (lane < WORK_WIDTH) value |= lane_bit(work2, lane, case_index) << bit; + } + printf("%x", value); + } +} + +static unsigned hex_nibble(char c) { + if (c >= '0' && c <= '9') return (unsigned)(c - '0'); + if (c >= 'a' && c <= 'f') return (unsigned)(c - 'a' + 10); + if (c >= 'A' && c <= 'F') return (unsigned)(c - 'A' + 10); + fprintf(stderr, "invalid hex digit: %c\n", c); + exit(2); +} + +static void initialize_case(lane_t initial[WIDTH], unsigned case_index, const char *x_hex) { + unsigned char x[32], half[32], used[32]; + lane_t mask = (lane_t)1U << case_index; + parse_hex_le32(x_hex, x); + unsigned carry = 0; + for (int i = 31; i >= 0; i--) { + unsigned combined = carry * 256U + P_LE[i]; + half[i] = (unsigned char)(combined >> 1); + carry = combined & 1; + } + int high_half = compare_le32(x, half) > 0; + if (high_half) { + subtract_le32(P_LE, x, used); + initial[2] |= mask; + } else { + memcpy(used, x, 32); + } + unsigned bitlen = bit_length_le32(used); + assert(bitlen > 0); + initial[WORK1_START] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if (bit_p(bit)) initial[WORK1_START + 258 - bit] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if ((used[bit / 8] >> (bit % 8)) & 1) initial[WORK2_START + 258 - bit] |= mask; + for (unsigned i = 0; i < LQ_WIDTH; i++) initial[LQ_START + i] |= mask; + unsigned shift_zero = SHIFT_MODULUS - 1; + for (unsigned i = 0; i < LS_WIDTH; i++) + if ((shift_zero >> i) & 1U) initial[LS_START + i] |= mask; + unsigned encoded = bitlen - 1; + for (unsigned i = 0; i < LRP_WIDTH; i++) + if ((encoded >> i) & 1) initial[LRP_START + i] |= mask; + for (unsigned i = 0; i < DIRTY_WIDTH; i++) + if (dirty_bit(case_index, i)) initial[DIRTY_START + i] |= mask; +} + +static void inspect_case(const lane_t state[WIDTH], unsigned case_index, const char *x_hex) { + assert(lane_bit(state, 0, case_index) == 0); + assert(lane_bit(state, 1, case_index) == 0); + assert(lane_bit(state, 3, case_index) == 0); + for (unsigned i = 0; i < AUX_WIDTH; i++) + assert(lane_bit(state, AUX_START + i, case_index) == 0); + for (unsigned i = 0; i < DIRTY_WIDTH; i++) + assert(lane_bit(state, DIRTY_START + i, case_index) == + dirty_bit(case_index, i)); + assert(reg_value(state, LT_START, LT_WIDTH, case_index) == 255); + assert(reg_value(state, LQ_START, LQ_WIDTH, case_index) == 511); + assert(reg_value(state, LRP_START, LRP_WIDTH, case_index) == 255); + + unsigned padding = + (reg_value(state, LS_START, LS_WIDTH, case_index) + 1) % SHIFT_MODULUS; + lane_t canonical[WORK_WIDTH] = {0}; + rotate_right(canonical, state + WORK2_START, padding); + printf("x=%s iter=%u padding=%u work2=", x_hex, + lane_bit(state, 2, case_index), padding); + print_work2_hex(canonical, case_index); + printf("\n"); +} + +int main(int argc, char **argv) { + assert(argc >= 2); + const char *cases[CASE_COUNT] = { + "1", + "2", + "3", + "123456789abcdef", + "6a09e667f3bcc908b2fb1366ea957d3e3adec17512775099da2f590a9c5d4a30", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d950963b", + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + "d8f9f1d8b4f19c7a85c62a9b91f4eaa85283f694052036319488ed8fe28f2241", + }; + lane_t initial[WIDTH] = {0}; + lane_t state[WIDTH]; + for (unsigned i = 0; i < CASE_COUNT; i++) initialize_case(initial, i, cases[i]); + memcpy(state, initial, sizeof(state)); + run_chunks(state, 0, argc - 1, argv + 1); + for (unsigned i = 0; i < CASE_COUNT; i++) inspect_case(state, i, cases[i]); + run_chunks(state, 1, argc - 1, argv + 1); + assert(!memcmp(state, initial, sizeof(state))); + printf("PASS cases=%u forward_reverse=exact\n", CASE_COUNT); + return 0; +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_stream_probe_bitslice.c b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_stream_probe_bitslice.c new file mode 100644 index 00000000..43ffb5d4 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/paper2607_stream_probe_bitslice.c @@ -0,0 +1,290 @@ +#include +#include +#include +#include +#include +#include + +enum { + WIDTH = 581, + WORK_WIDTH = 259, + WORK1_START = 4, + WORK2_START = 263, + LT_START = 522, + LQ_START = 531, + LS_START = 540, + LRP_START = 550, + AUX_START = 559, + LENGTH_WIDTH = 9, + SHIFT_WIDTH = 10, + SCHEDULE_STEPS = 1616, + CASE_COUNT = 9, + ALL_CASES = (1U << CASE_COUNT) - 1, +}; + +typedef uint16_t lane_t; + +static const unsigned char P_LE[32] = { + 0x2f, 0xfc, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +static unsigned hex_nibble(char c); +static unsigned bit_p(unsigned i) { return (P_LE[i / 8] >> (i % 8)) & 1; } + +static void parse_hex_le32(const char *text, unsigned char out[32]) { + memset(out, 0, 32); + const char *digits = text; + while (*digits == '0' && digits[1] != '\0') digits++; + size_t count = strlen(digits); + assert(count > 0 && count <= 64); + for (size_t digit = 0; digit < count; digit++) { + unsigned value = hex_nibble(digits[count - 1 - digit]); + unsigned byte = (unsigned)digit / 2; + unsigned shift = 4 * ((unsigned)digit & 1); + out[byte] |= (unsigned char)(value << shift); + } +} + +static int compare_le32(const unsigned char a[32], const unsigned char b[32]) { + for (int i = 31; i >= 0; i--) { + if (a[i] != b[i]) return a[i] > b[i] ? 1 : -1; + } + return 0; +} + +static void subtract_le32(const unsigned char a[32], const unsigned char b[32], + unsigned char out[32]) { + unsigned borrow = 0; + for (unsigned i = 0; i < 32; i++) { + unsigned sub = (unsigned)b[i] + borrow; + out[i] = (unsigned char)((unsigned)a[i] - sub); + borrow = (unsigned)a[i] < sub; + } + assert(borrow == 0); +} + +static unsigned bit_length_le32(const unsigned char value[32]) { + for (int byte = 31; byte >= 0; byte--) { + if (value[byte] != 0) { + unsigned top = value[byte]; + unsigned bits = 0; + while (top != 0) { + bits++; + top >>= 1; + } + return 8U * (unsigned)byte + bits; + } + } + return 0; +} + +static unsigned lane_bit(const lane_t state[WIDTH], unsigned lane, unsigned case_index) { + return (unsigned)((state[lane] >> case_index) & 1U); +} + +static unsigned reg_value(const lane_t state[WIDTH], unsigned start, unsigned width, + unsigned case_index) { + unsigned value = 0; + for (unsigned i = 0; i < width; i++) + value |= lane_bit(state, start + i, case_index) << i; + return value; +} + +static void apply_record(lane_t state[WIDTH], uint64_t word) { + unsigned kind = word & 15; + unsigned arity = (word >> 4) & 15; + unsigned q0 = (word >> 8) & 1023; + unsigned q1 = (word >> 18) & 1023; + unsigned q2 = (word >> 28) & 1023; + unsigned q3 = (word >> 38) & 1023; + unsigned q4 = (word >> 48) & 1023; + assert(q0 < WIDTH); + if (kind == 1 && arity == 1) { + state[q0] ^= ALL_CASES; + } else if (kind == 2 && arity == 2) { + assert(q1 < WIDTH); + state[q1] ^= state[q0]; + } else if (kind == 3 && arity == 3) { + assert(q1 < WIDTH && q2 < WIDTH); + state[q2] ^= state[q0] & state[q1]; + } else if (kind == 7 && arity == 5) { + assert(q1 < WIDTH && q2 < WIDTH && q3 < WIDTH && q4 < WIDTH); + assert(state[q4] == 0); + state[q3] ^= state[q0] & state[q1] & state[q2]; + assert(state[q4] == 0); + } else { + fprintf(stderr, "bad primitive %u/%u\n", kind, arity); + exit(2); + } +} + +static unsigned char *decode(const char *path, size_t *size_out) { + FILE *f = fopen(path, "rb"); + assert(f); + fseek(f, 0, SEEK_END); + long compressed_size = ftell(f); + rewind(f); + unsigned char *compressed = malloc((size_t)compressed_size); + assert(compressed); + assert(fread(compressed, 1, (size_t)compressed_size, f) == (size_t)compressed_size); + fclose(f); + ZSTD_DStream *stream = ZSTD_createDStream(); + assert(stream); + size_t status = ZSTD_initDStream(stream); + assert(!ZSTD_isError(status)); + size_t capacity = ZSTD_DStreamOutSize(); + unsigned char *decoded = malloc(capacity); + assert(decoded); + size_t used = 0; + ZSTD_inBuffer input = { compressed, (size_t)compressed_size, 0 }; + while (input.pos < input.size) { + if (capacity - used < ZSTD_DStreamOutSize()) { + capacity *= 2; + decoded = realloc(decoded, capacity); + assert(decoded); + } + ZSTD_outBuffer output = { decoded + used, capacity - used, 0 }; + status = ZSTD_decompressStream(stream, &output, &input); + assert(!ZSTD_isError(status)); + assert(output.pos != 0 || input.pos == input.size); + used += output.pos; + } + assert(status == 0); + ZSTD_freeDStream(stream); + free(compressed); + *size_out = used; + return decoded; +} + +static void run_chunks(lane_t state[WIDTH], int reverse, int argc, char **argv) { + unsigned expected = reverse ? SCHEDULE_STEPS : 1; + for (int k = 0; k < argc; k++) { + int arg = reverse ? argc - 1 - k : k; + size_t size; + unsigned char *raw = decode(argv[arg], &size); + assert(size >= 24 && !memcmp(raw, "P26EEA2\0", 8) && (size - 24) % 8 == 0); + assert(*(uint32_t *)(raw + 8) == 256); + assert(*(uint32_t *)(raw + 12) == WIDTH); + unsigned start = *(uint32_t *)(raw + 16); + unsigned end = *(uint32_t *)(raw + 20); + if (reverse) { + assert(end == expected); + expected = start - 1; + } else { + assert(start == expected); + expected = end + 1; + } + size_t count = (size - 24) / 8; + for (size_t j = 0; j < count; j++) { + size_t record = reverse ? count - 1 - j : j; + uint64_t word; + memcpy(&word, raw + 24 + 8 * record, 8); + apply_record(state, word); + } + free(raw); + } + assert(expected == (reverse ? 0 : SCHEDULE_STEPS + 1)); +} + +static void rotate_right(lane_t *out, const lane_t *in, unsigned amount) { + amount %= WORK_WIDTH; + for (unsigned i = 0; i < WORK_WIDTH; i++) out[(i + amount) % WORK_WIDTH] = in[i]; +} + +static void print_work2_hex(const lane_t work2[WORK_WIDTH], unsigned case_index) { + for (int nibble = 64; nibble >= 0; nibble--) { + unsigned value = 0; + for (unsigned bit = 0; bit < 4; bit++) { + unsigned lane = (unsigned)nibble * 4 + bit; + if (lane < WORK_WIDTH) value |= lane_bit(work2, lane, case_index) << bit; + } + printf("%x", value); + } +} + +static unsigned hex_nibble(char c) { + if (c >= '0' && c <= '9') return (unsigned)(c - '0'); + if (c >= 'a' && c <= 'f') return (unsigned)(c - 'a' + 10); + if (c >= 'A' && c <= 'F') return (unsigned)(c - 'A' + 10); + fprintf(stderr, "invalid hex digit: %c\n", c); + exit(2); +} + +static void initialize_case(lane_t initial[WIDTH], unsigned case_index, const char *x_hex) { + unsigned char x[32], half[32], used[32]; + lane_t mask = (lane_t)1U << case_index; + parse_hex_le32(x_hex, x); + unsigned carry = 0; + for (int i = 31; i >= 0; i--) { + unsigned combined = carry * 256U + P_LE[i]; + half[i] = (unsigned char)(combined >> 1); + carry = combined & 1; + } + int high_half = compare_le32(x, half) > 0; + if (high_half) { + subtract_le32(P_LE, x, used); + initial[2] |= mask; + } else { + memcpy(used, x, 32); + } + unsigned bitlen = bit_length_le32(used); + assert(bitlen > 0); + initial[WORK1_START] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if (bit_p(bit)) initial[WORK1_START + 258 - bit] |= mask; + for (unsigned bit = 0; bit < 256; bit++) + if ((used[bit / 8] >> (bit % 8)) & 1) initial[WORK2_START + 258 - bit] |= mask; + for (unsigned i = 0; i < LENGTH_WIDTH; i++) initial[LQ_START + i] |= mask; + for (unsigned i = 0; i < SHIFT_WIDTH; i++) initial[LS_START + i] |= mask; + unsigned encoded = bitlen - 1; + for (unsigned i = 0; i < LENGTH_WIDTH; i++) + if ((encoded >> i) & 1) initial[LRP_START + i] |= mask; +} + +static void inspect_case(const lane_t state[WIDTH], unsigned case_index, const char *x_hex) { + assert(lane_bit(state, 0, case_index) == 0); + assert(lane_bit(state, 1, case_index) == 0); + assert(lane_bit(state, 3, case_index) == 0); + for (unsigned i = 0; i < 22; i++) + assert(lane_bit(state, AUX_START + i, case_index) == 0); + assert(reg_value(state, LT_START, LENGTH_WIDTH, case_index) == 255); + assert(reg_value(state, LQ_START, LENGTH_WIDTH, case_index) == 511); + assert(reg_value(state, LRP_START, LENGTH_WIDTH, case_index) == 511); + + unsigned padding = + (reg_value(state, LS_START, SHIFT_WIDTH, case_index) + 1) & 1023; + lane_t canonical[WORK_WIDTH] = {0}; + rotate_right(canonical, state + WORK2_START, padding); + printf("x=%s iter=%u padding=%u work2=", x_hex, + lane_bit(state, 2, case_index), padding); + print_work2_hex(canonical, case_index); + printf("\n"); +} + +int main(int argc, char **argv) { + assert(argc >= 2); + const char *cases[CASE_COUNT] = { + "1", + "2", + "3", + "123456789abcdef", + "6a09e667f3bcc908b2fb1366ea957d3e3adec17512775099da2f590a9c5d4a30", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef", + "5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d950963b", + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + "d8f9f1d8b4f19c7a85c62a9b91f4eaa85283f694052036319488ed8fe28f2241", + }; + lane_t initial[WIDTH] = {0}; + lane_t state[WIDTH]; + for (unsigned i = 0; i < CASE_COUNT; i++) initialize_case(initial, i, cases[i]); + memcpy(state, initial, sizeof(state)); + run_chunks(state, 0, argc - 1, argv + 1); + for (unsigned i = 0; i < CASE_COUNT; i++) inspect_case(state, i, cases[i]); + run_chunks(state, 1, argc - 1, argv + 1); + assert(!memcmp(state, initial, sizeof(state))); + printf("PASS cases=%u forward_reverse=exact\n", CASE_COUNT); + return 0; +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/profile_exactwidth_step.py b/src/point_add/trailmix_port/inversion/paper2607_data/profile_exactwidth_step.py new file mode 100644 index 00000000..01f1d841 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/profile_exactwidth_step.py @@ -0,0 +1,87 @@ +#!/usr/bin/env python3 +"""Deterministic recursive profile for one 11-aux paper2607 step.""" + +from __future__ import annotations + +import argparse +from collections import Counter, defaultdict +import hashlib +import json +from pathlib import Path +import subprocess + +import eea_circuit_s835_exactwidth_dirty12 as eea +import eea_circuit_updated as support + + +def sha256(path: Path) -> str: + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def count_definition(circuit) -> Counter[str]: + counts: Counter[str] = Counter() + for item in circuit.data: + operation = item.operation + if operation.name in {"x", "cx", "ccx", "h", "cz", "measure", "reset", "u"}: + counts[operation.name] += 1 + elif operation.definition is None: + raise ValueError(f"unsupported primitive {operation.name!r}") + else: + counts.update(count_definition(operation.definition)) + return counts + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--step", type=int, default=1470) + args = parser.parse_args() + + circuit = eea.build_step_circuit( + 256, + args.step, + T_max=1616, + aux_size=eea.CLEAN_AUX_SIZE, + measurement_uncompute=False, + ) + components: dict[str, Counter[str]] = defaultdict(Counter) + for item in circuit.data: + operation = item.operation + if operation.definition is None: + counts = Counter({operation.name: 1}) + else: + counts = count_definition(operation.definition) + components[operation.name].update(counts) + + support_path = Path(support.__file__).resolve() + generator_path = Path(eea.__file__).resolve() + upstream = support_path.parent + commit = subprocess.check_output( + ["git", "-C", str(upstream), "rev-parse", "HEAD"], text=True, + ).strip() + total = Counter(support.count_circuit_ops_recursive(circuit)) + report = { + "schema": "paper2607-exactwidth-step-profile-v1", + "step": args.step, + "referenced_qubits": circuit.num_qubits, + "clean_aux": eea.CLEAN_AUX_SIZE, + "dirty_passenger": eea.DIRTY_PASSENGER_SIZE, + "support": { + "commit": commit, + "path": str(support_path), + "sha256": sha256(support_path), + }, + "generator": { + "path": str(generator_path), + "sha256": sha256(generator_path), + }, + "total": dict(sorted(total.items())), + "components": { + name: dict(sorted(counts.items())) + for name, counts in sorted(components.items()) + }, + } + print(json.dumps(report, indent=2, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/q818_aux6_schedule_count.json b/src/point_add/trailmix_port/inversion/paper2607_data/q818_aux6_schedule_count.json new file mode 100644 index 00000000..d9b7416b --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/q818_aux6_schedule_count.json @@ -0,0 +1,50 @@ +{ + "clean_aux": 6, + "certified_stream": { + "aggregate_sha256": "39989d3fa2fe8d30cd2b0bc4eea218eb2b0b5969a83fb2cdffab161d047895d3", + "clean_c3x_mbu_per_traversal": 6464, + "emitted_ops_per_traversal": 289557916, + "executed_toffoli_per_traversal": 255886404, + "four_traversal_emitted_ops": 1158231664, + "four_traversal_executed_toffoli": 1023545616, + "records_per_traversal": 289538524 + }, + "count_semantics": "recursive definitions; clean-C3X markers are expanded", + "four_traversal_recursive_executed_toffoli": 1023571472, + "four_traversal_recursive_records": 1158205808, + "local_width": 572, + "production_count_only": { + "ccx": 1034191207, + "ccz": 0, + "cx": 57179590, + "cz": 100997, + "emitted_ops": 1182759471, + "hmr": 103817, + "peak_phase": "ec3.inv_fwd", + "peak_qubits": 818, + "structural_toffoli": 1034191207, + "swap": 589832, + "x": 90185830 + }, + "trusted_local_benchmark": { + "ancilla_garbage_batches": 0, + "average_executed_clifford": 58328088.918, + "average_executed_toffoli": 1034191207, + "classical_mismatches": 0, + "emitted_ops": 1182759471, + "phase_garbage_batches": 0, + "qubits": 818, + "score": 845968407326, + "tested_shots": 9024 + }, + "recursive_counts_per_traversal": { + "ccx": 255892868, + "cx": 13229966, + "x": 20428618 + }, + "recursive_executed_toffoli_per_traversal": 255892868, + "recursive_records_per_traversal": 289551452, + "schema": "paper2607-q818-aux6-schedule-count-v2", + "source_sha256": "7650dae7b9ad14ffc3f674d60dfefd865365469b5dc12a69c7a94f10afc343dd", + "steps": 1616 +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_exactwidth_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_exactwidth_stream.py new file mode 100644 index 00000000..b18b32f5 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_exactwidth_stream.py @@ -0,0 +1,169 @@ +#!/usr/bin/env python3 +"""Regenerate and certify the Q822 Aux10 paper2607 primitive stream.""" + +from __future__ import annotations + +import argparse +from concurrent.futures import ThreadPoolExecutor, as_completed +import hashlib +import json +import os +from pathlib import Path +import shutil +import subprocess + + +SCHEDULE_END = 1616 +CHUNK_STEPS = 45 +PINNED_SUPPORT_COMMIT = "ac1ecffee14b5a977421b75669c52db6b4033646" +PINNED_SUPPORT_SHA256 = ( + "067d363deeabb6532b52f42eba884b0d184c5b74aa14d2c0d33e5579f668d277" +) +PINNED_GENERATOR_SHA256 = ( + "b00c0801921234a7b7c528988addda914c8b229548959ab5c0d5fd2aeee922be" +) + + +def sha256(path: Path) -> str: + digest = hashlib.sha256() + with path.open("rb") as stream: + for block in iter(lambda: stream.read(1024 * 1024), b""): + digest.update(block) + return digest.hexdigest() + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + parser.add_argument( + "--python", + type=Path, + default=Path("/private/tmp/paper2607-venv/bin/python"), + ) + parser.add_argument( + "--support", + type=Path, + default=Path("/private/tmp/paper2607-upstream"), + ) + parser.add_argument("--jobs", type=int, default=8) + args = parser.parse_args() + + data = Path(__file__).resolve().parent + generator = data / "generate_eea_blob.py" + candidate_generator = data / "eea_circuit_s835_exactwidth_dirty12.py" + verifier = data.parent / "paper2607_exactwidth_data" / "verify_exactwidth_stream.py" + support_source = args.support / "eea_circuit_updated.py" + + if args.out.exists(): + raise SystemExit(f"refusing to overwrite existing output: {args.out}") + if args.jobs < 1: + raise SystemExit("--jobs must be positive") + if not args.python.is_file(): + raise SystemExit(f"missing Python interpreter: {args.python}") + if not support_source.is_file(): + raise SystemExit(f"missing pinned support source: {support_source}") + + commit = subprocess.run( + ["git", "-C", str(args.support), "rev-parse", "HEAD"], + check=True, + text=True, + stdout=subprocess.PIPE, + ).stdout.strip() + if commit != PINNED_SUPPORT_COMMIT: + raise SystemExit(f"support commit {commit}, expected {PINNED_SUPPORT_COMMIT}") + support_hash = sha256(support_source) + if support_hash != PINNED_SUPPORT_SHA256: + raise SystemExit( + f"support source hash {support_hash}, expected {PINNED_SUPPORT_SHA256}" + ) + generator_hash = sha256(candidate_generator) + if generator_hash != PINNED_GENERATOR_SHA256: + raise SystemExit( + f"candidate generator hash {generator_hash}, " + f"expected {PINNED_GENERATOR_SHA256}" + ) + + args.out.mkdir(parents=True) + env = os.environ.copy() + prior_pythonpath = env.get("PYTHONPATH") + env["PYTHONPATH"] = os.pathsep.join( + [str(args.support), str(data)] + + ([prior_pythonpath] if prior_pythonpath else []) + ) + + ranges = [ + (start, min(start + CHUNK_STEPS - 1, SCHEDULE_END)) + for start in range(1, SCHEDULE_END + 1, CHUNK_STEPS) + ] + + def generate(bounds: tuple[int, int]) -> tuple[int, int]: + start, end = bounds + output = args.out / f"chunk-{start:04d}-{end:04d}.zst" + result = subprocess.run( + [ + str(args.python), + str(generator), + "--paper", + str(data), + "--module", + "eea_circuit_s835_exactwidth_dirty12", + "--out", + str(output), + "--start", + str(start), + "--end", + str(end), + "--schedule-end", + str(SCHEDULE_END), + "--aux-size", + "10", + "--expected-qubits", + "576", + ], + check=True, + env=env, + text=True, + stdout=subprocess.PIPE, + stderr=subprocess.STDOUT, + ) + output.with_suffix(output.suffix + ".log").write_text( + result.stdout, encoding="utf-8" + ) + return start, end + + with ThreadPoolExecutor(max_workers=args.jobs) as pool: + futures = [pool.submit(generate, bounds) for bounds in ranges] + for future in as_completed(futures): + start, end = future.result() + print(f"PASS shard {start:04d}-{end:04d}", flush=True) + + aggregate = args.out / "aggregate.json" + subprocess.run( + [ + str(args.python), + str(verifier), + "--directory", + str(args.out), + "--out", + str(aggregate), + ], + check=True, + env=env, + ) + aggregate_data = json.loads(aggregate.read_text(encoding="utf-8")) + aggregate_data["source_identity"] = { + "candidate_generator_sha256": generator_hash, + "support_commit": commit, + "support_source_sha256": support_hash, + } + aggregate.write_text( + json.dumps(aggregate_data, indent=2, sort_keys=True) + "\n", + encoding="utf-8", + ) + shutil.copyfile(aggregate, args.out / "aggregate_manifest.json") + print(f"PASS generated and certified {len(ranges)} shards in {args.out}") + print(f"aggregate_sha256={sha256(aggregate)}") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q818_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q818_stream.py new file mode 100644 index 00000000..c1ed3e10 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q818_stream.py @@ -0,0 +1,147 @@ +#!/usr/bin/env python3 +"""Regenerate and certify the Q817 Aux5 paper2607 primitive stream.""" + +from __future__ import annotations + +import argparse +from concurrent.futures import ThreadPoolExecutor, as_completed +import hashlib +import os +from pathlib import Path +import shutil +import subprocess +import sys + + +SCHEDULE_END = 1616 +CHUNK_STEPS = 45 +PINNED_SUPPORT_COMMIT = "ac1ecffee14b5a977421b75669c52db6b4033646" +PINNED_SUPPORT_SHA256 = ( + "067d363deeabb6532b52f42eba884b0d184c5b74aa14d2c0d33e5579f668d277" +) + + +def sha256(path: Path, *, canonical_newlines: bool = False) -> str: + digest = hashlib.sha256() + with path.open("rb") as stream: + for block in iter(lambda: stream.read(1024 * 1024), b""): + if canonical_newlines: + block = block.replace(b"\r\n", b"\n") + digest.update(block) + return digest.hexdigest() + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + parser.add_argument("--python", type=Path, default=Path(sys.executable)) + parser.add_argument( + "--support", + type=Path, + required=True, + help="checkout at PINNED_SUPPORT_COMMIT containing eea_circuit_updated.py", + ) + parser.add_argument("--jobs", type=int, default=4) + args = parser.parse_args() + + data = Path(__file__).resolve().parent + generator = data / "generate_eea_blob.py" + verifier = data / "verify_q818_stream.py" + support_source = args.support / "eea_circuit_updated.py" + + if args.out.exists(): + raise SystemExit(f"refusing to overwrite existing output: {args.out}") + if args.jobs < 1: + raise SystemExit("--jobs must be positive") + if not args.python.is_file(): + raise SystemExit(f"missing Python interpreter: {args.python}") + if not support_source.is_file(): + raise SystemExit(f"missing pinned support source: {support_source}") + + commit = subprocess.run( + ["git", "-C", str(args.support), "rev-parse", "HEAD"], + check=True, + text=True, + stdout=subprocess.PIPE, + ).stdout.strip() + if commit != PINNED_SUPPORT_COMMIT: + raise SystemExit(f"support commit {commit}, expected {PINNED_SUPPORT_COMMIT}") + support_hash = sha256(support_source, canonical_newlines=True) + if support_hash != PINNED_SUPPORT_SHA256: + raise SystemExit( + f"support source hash {support_hash}, expected {PINNED_SUPPORT_SHA256}" + ) + + args.out.mkdir(parents=True) + env = os.environ.copy() + prior_pythonpath = env.get("PYTHONPATH") + env["PYTHONPATH"] = os.pathsep.join( + [str(args.support), str(data)] + + ([prior_pythonpath] if prior_pythonpath else []) + ) + ranges = [ + (start, min(start + CHUNK_STEPS - 1, SCHEDULE_END)) + for start in range(1, SCHEDULE_END + 1, CHUNK_STEPS) + ] + + def generate(bounds: tuple[int, int]) -> tuple[int, int]: + start, end = bounds + output = args.out / f"chunk-{start:04d}-{end:04d}.zst" + result = subprocess.run( + [ + str(args.python), + str(generator), + "--paper", + str(data), + "--module", + "eea_circuit_s835_exactwidth_dirty12", + "--out", + str(output), + "--start", + str(start), + "--end", + str(end), + "--schedule-end", + str(SCHEDULE_END), + "--aux-size", + "5", + "--expected-qubits", + "571", + ], + check=True, + env=env, + text=True, + stdout=subprocess.PIPE, + stderr=subprocess.STDOUT, + ) + output.with_suffix(output.suffix + ".log").write_text( + result.stdout, encoding="utf-8" + ) + return start, end + + with ThreadPoolExecutor(max_workers=args.jobs) as pool: + futures = [pool.submit(generate, bounds) for bounds in ranges] + for future in as_completed(futures): + start, end = future.result() + print(f"PASS shard {start:04d}-{end:04d}", flush=True) + + aggregate = args.out / "aggregate.json" + subprocess.run( + [ + str(args.python), + str(verifier), + "--directory", + str(args.out), + "--out", + str(aggregate), + ], + check=True, + env=env, + ) + shutil.copyfile(aggregate, args.out / "aggregate_manifest.json") + print(f"PASS generated and certified {len(ranges)} shards in {args.out}") + print(f"aggregate_sha256={sha256(aggregate)}") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q819_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q819_stream.py new file mode 100644 index 00000000..520b44cb --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q819_stream.py @@ -0,0 +1,150 @@ +#!/usr/bin/env python3 +"""Regenerate and certify the Q819 Aux7 paper2607 primitive stream.""" + +from __future__ import annotations + +import argparse +from concurrent.futures import ThreadPoolExecutor, as_completed +import hashlib +import os +from pathlib import Path +import shutil +import subprocess +import sys + + +SCHEDULE_END = 1616 +CHUNK_STEPS = 45 +PINNED_SUPPORT_COMMIT = "ac1ecffee14b5a977421b75669c52db6b4033646" +PINNED_SUPPORT_SHA256 = ( + "067d363deeabb6532b52f42eba884b0d184c5b74aa14d2c0d33e5579f668d277" +) + + +def sha256(path: Path) -> str: + digest = hashlib.sha256() + with path.open("rb") as stream: + for block in iter(lambda: stream.read(1024 * 1024), b""): + digest.update(block) + return digest.hexdigest() + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + parser.add_argument( + "--python", + type=Path, + default=Path(sys.executable), + ) + parser.add_argument( + "--support", + type=Path, + required=True, + help="checkout at PINNED_SUPPORT_COMMIT containing eea_circuit_updated.py", + ) + parser.add_argument("--jobs", type=int, default=8) + args = parser.parse_args() + + data = Path(__file__).resolve().parent + generator = data / "generate_eea_blob.py" + verifier = data / "verify_q819_stream.py" + support_source = args.support / "eea_circuit_updated.py" + + if args.out.exists(): + raise SystemExit(f"refusing to overwrite existing output: {args.out}") + if args.jobs < 1: + raise SystemExit("--jobs must be positive") + if not args.python.is_file(): + raise SystemExit(f"missing Python interpreter: {args.python}") + if not support_source.is_file(): + raise SystemExit(f"missing pinned support source: {support_source}") + + commit = subprocess.run( + ["git", "-C", str(args.support), "rev-parse", "HEAD"], + check=True, + text=True, + stdout=subprocess.PIPE, + ).stdout.strip() + if commit != PINNED_SUPPORT_COMMIT: + raise SystemExit(f"support commit {commit}, expected {PINNED_SUPPORT_COMMIT}") + support_hash = sha256(support_source) + if support_hash != PINNED_SUPPORT_SHA256: + raise SystemExit( + f"support source hash {support_hash}, expected {PINNED_SUPPORT_SHA256}" + ) + + args.out.mkdir(parents=True) + env = os.environ.copy() + prior_pythonpath = env.get("PYTHONPATH") + env["PYTHONPATH"] = os.pathsep.join( + [str(args.support), str(data)] + + ([prior_pythonpath] if prior_pythonpath else []) + ) + + ranges = [ + (start, min(start + CHUNK_STEPS - 1, SCHEDULE_END)) + for start in range(1, SCHEDULE_END + 1, CHUNK_STEPS) + ] + + def generate(bounds: tuple[int, int]) -> tuple[int, int]: + start, end = bounds + output = args.out / f"chunk-{start:04d}-{end:04d}.zst" + result = subprocess.run( + [ + str(args.python), + str(generator), + "--paper", + str(data), + "--module", + "eea_circuit_s835_exactwidth_dirty12", + "--out", + str(output), + "--start", + str(start), + "--end", + str(end), + "--schedule-end", + str(SCHEDULE_END), + "--aux-size", + "7", + "--expected-qubits", + "573", + ], + check=True, + env=env, + text=True, + stdout=subprocess.PIPE, + stderr=subprocess.STDOUT, + ) + output.with_suffix(output.suffix + ".log").write_text( + result.stdout, encoding="utf-8" + ) + return start, end + + with ThreadPoolExecutor(max_workers=args.jobs) as pool: + futures = [pool.submit(generate, bounds) for bounds in ranges] + for future in as_completed(futures): + start, end = future.result() + print(f"PASS shard {start:04d}-{end:04d}", flush=True) + + aggregate = args.out / "aggregate.json" + subprocess.run( + [ + str(args.python), + str(verifier), + "--directory", + str(args.out), + "--out", + str(aggregate), + ], + check=True, + env=env, + ) + shutil.copyfile(aggregate, args.out / "aggregate_manifest.json") + print(f"PASS generated and certified {len(ranges)} shards in {args.out}") + print(f"aggregate_sha256={sha256(aggregate)}") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q820_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q820_stream.py new file mode 100644 index 00000000..cd047ff2 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/regenerate_q820_stream.py @@ -0,0 +1,148 @@ +#!/usr/bin/env python3 +"""Regenerate and certify the Q820 Aux8 paper2607 primitive stream.""" + +from __future__ import annotations + +import argparse +from concurrent.futures import ThreadPoolExecutor, as_completed +import hashlib +import os +from pathlib import Path +import shutil +import subprocess + + +SCHEDULE_END = 1616 +CHUNK_STEPS = 45 +PINNED_SUPPORT_COMMIT = "ac1ecffee14b5a977421b75669c52db6b4033646" +PINNED_SUPPORT_SHA256 = ( + "067d363deeabb6532b52f42eba884b0d184c5b74aa14d2c0d33e5579f668d277" +) + + +def sha256(path: Path) -> str: + digest = hashlib.sha256() + with path.open("rb") as stream: + for block in iter(lambda: stream.read(1024 * 1024), b""): + digest.update(block) + return digest.hexdigest() + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + parser.add_argument( + "--python", + type=Path, + default=Path("/private/tmp/paper2607-venv/bin/python"), + ) + parser.add_argument( + "--support", + type=Path, + default=Path("/private/tmp/paper2607-upstream"), + ) + parser.add_argument("--jobs", type=int, default=8) + args = parser.parse_args() + + data = Path(__file__).resolve().parent + generator = data / "generate_eea_blob.py" + verifier = data.parent / "paper2607_exactwidth_data" / "verify_exactwidth_stream.py" + support_source = args.support / "eea_circuit_updated.py" + + if args.out.exists(): + raise SystemExit(f"refusing to overwrite existing output: {args.out}") + if args.jobs < 1: + raise SystemExit("--jobs must be positive") + if not args.python.is_file(): + raise SystemExit(f"missing Python interpreter: {args.python}") + if not support_source.is_file(): + raise SystemExit(f"missing pinned support source: {support_source}") + + commit = subprocess.run( + ["git", "-C", str(args.support), "rev-parse", "HEAD"], + check=True, + text=True, + stdout=subprocess.PIPE, + ).stdout.strip() + if commit != PINNED_SUPPORT_COMMIT: + raise SystemExit(f"support commit {commit}, expected {PINNED_SUPPORT_COMMIT}") + support_hash = sha256(support_source) + if support_hash != PINNED_SUPPORT_SHA256: + raise SystemExit( + f"support source hash {support_hash}, expected {PINNED_SUPPORT_SHA256}" + ) + + args.out.mkdir(parents=True) + env = os.environ.copy() + prior_pythonpath = env.get("PYTHONPATH") + env["PYTHONPATH"] = os.pathsep.join( + [str(args.support), str(data)] + + ([prior_pythonpath] if prior_pythonpath else []) + ) + + ranges = [ + (start, min(start + CHUNK_STEPS - 1, SCHEDULE_END)) + for start in range(1, SCHEDULE_END + 1, CHUNK_STEPS) + ] + + def generate(bounds: tuple[int, int]) -> tuple[int, int]: + start, end = bounds + output = args.out / f"chunk-{start:04d}-{end:04d}.zst" + result = subprocess.run( + [ + str(args.python), + str(generator), + "--paper", + str(data), + "--module", + "eea_circuit_s835_exactwidth_dirty12", + "--out", + str(output), + "--start", + str(start), + "--end", + str(end), + "--schedule-end", + str(SCHEDULE_END), + "--aux-size", + "8", + "--expected-qubits", + "574", + ], + check=True, + env=env, + text=True, + stdout=subprocess.PIPE, + stderr=subprocess.STDOUT, + ) + output.with_suffix(output.suffix + ".log").write_text( + result.stdout, encoding="utf-8" + ) + return start, end + + with ThreadPoolExecutor(max_workers=args.jobs) as pool: + futures = [pool.submit(generate, bounds) for bounds in ranges] + for future in as_completed(futures): + start, end = future.result() + print(f"PASS shard {start:04d}-{end:04d}", flush=True) + + aggregate = args.out / "aggregate.json" + subprocess.run( + [ + str(args.python), + str(verifier), + "--directory", + str(args.out), + "--out", + str(aggregate), + ], + check=True, + env=env, + ) + shutil.copyfile(aggregate, args.out / "aggregate_manifest.json") + print(f"PASS generated and certified {len(ranges)} shards in {args.out}") + print(f"aggregate_sha256={sha256(aggregate)}") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/schedule_certificate.json b/src/point_add/trailmix_port/inversion/paper2607_data/schedule_certificate.json new file mode 100644 index 00000000..196b3210 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/schedule_certificate.json @@ -0,0 +1,3248 @@ +{ + "canonical_quotient_constraints": { + "first_minimum": 2, + "interior_minimum": 1, + "last_minimum": 2 + }, + "coarse_finite_cap": { + "maximum_quotient_count": 367, + "minimum_numerator_at_cap": "94611056096305838013295371573764256526437182762229865607320618320601813254535", + "minimum_numerator_at_next_length": "153083904475345790698149223310665389766178449653686710164582374234640876900329", + "sum_floor_log2_quotients_cap": 255, + "weighted_cost_cap": 622 + }, + "field": "secp256k1", + "objective": "4 * sum(bit_length(q_i))", + "p_decimal": "115792089237316195423570985008687907853269984665640564039457584007908834671663", + "p_hex": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "pareto_dp": { + "boundary_minima": { + "402": "37888027956981346120234548557707124166245889079663787542705624718503780187172", + "403": "59341868811020365984099950058193855092046994308062180385554161945221862826577", + "404": "91789420730916791483117532598516567236022178000329025816207440813477795754789", + "405": 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"0x5db3d742c265539d92ba16b83c5c1dc492ec1a6629ed23cc63905323d96efaef" + } + ] +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_candidate.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_candidate.py new file mode 100644 index 00000000..13778cad --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_candidate.py @@ -0,0 +1,309 @@ +#!/usr/bin/env python3 +"""Differential and reversibility checks for the complete Aux10 prototype.""" + +from __future__ import annotations + +import argparse +from pathlib import Path +import random + +import verify_aux11_reductions as v +import verify_aux10_stage1 as stage1 + + +def words_from_values(values, width): + lanes = [0] * width + for case, value in enumerate(values): + if not 0 <= value < (1 << width): + raise ValueError((value, width)) + for bit in range(width): + if (value >> bit) & 1: + lanes[bit] |= 1 << case + return lanes + + +def compare_positional(label, old_state, old_layout, new_state, new_layout, names): + for name in names: + if v.get_positional(old_state, old_layout, name) != v.get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"{label}: {name} differs") + if any(v.get_positional(old_state, old_layout, "Scratch")): + raise AssertionError(f"{label}: old Scratch not clean") + if any(v.get_positional(new_state, new_layout, "Scratch")): + raise AssertionError(f"{label}: new Scratch not clean") + + +def run_pair(label, old, new, old_layout, new_layout, values, extra_new, cases): + old_state, new_state = v.initialize_positional( + old, new, old_layout, new_layout, values + ) + for name, lanes in extra_new.items(): + v.set_positional(new_state, new_layout, name, lanes) + old_initial, new_initial = old_state.copy(), new_state.copy() + mask = (1 << cases) - 1 + v.apply(old, old_state, mask) + v.apply(new, new_state, mask) + compare_positional( + label, old_state, old_layout, new_state, new_layout, values.keys() + ) + for name, lanes in extra_new.items(): + if v.get_positional(new_state, new_layout, name) != lanes: + raise AssertionError(f"{label}: {name} not restored") + v.apply(old, old_state, mask, inverse=True) + v.apply(new, new_state, mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError(f"{label}: inverse mismatch") + + +def check_r(old_mod, new_mod, cases): + rng = random.Random(0xA10B0001) + mask = (1 << cases) - 1 + for step in [1, 257, 800, 1200, 1470, 1600]: + k, upper = new_mod.safe_active_windows(256, step)["r_addsub"] + old = old_mod.compact_r_subrestore_fused_gate(n=256, k=k, K=upper) + new = new_mod.compact_r_subrestore_fused_gate(n=256, k=k, K=upper) + width = upper - k + 1 + common = [ + ("Ctrl", 1), + ("Phase2", 1), + ("Mode", 1), + ("Sign", 1), + ("Work1", width), + ("Work2", width), + ("l_t", 8), + ("l_q", 9), + ("l_s", 9), + ("DirtyPassenger", 10), + ] + old_layout = v.positional_layout(common + [("Scratch", 10)]) + new_layout = v.positional_layout(common + [("Scratch", 9)]) + ctrl = rng.getrandbits(cases) + mode = rng.getrandbits(cases) & (mask ^ ctrl) + values = { + "Ctrl": [ctrl], + "Phase2": [rng.getrandbits(cases)], + "Mode": [mode], + "Sign": [rng.getrandbits(cases)], + "Work1": v.random_words(width, cases, rng), + "Work2": v.random_words(width, cases, rng), + "l_t": v.constant_word(k - 2, 8, mask), + "l_q": v.constant_word((1 << 9) - 1, 9, mask), + "l_s": v.constant_word((258 - upper) % 259, 9, mask), + "DirtyPassenger": v.random_words(10, cases, rng), + } + run_pair( + f"R step {step}", old, new, old_layout, new_layout, values, {}, cases + ) + print(f"PASS R step={step} window={k}:{upper}", flush=True) + + +def check_t_sub(old_mod, new_mod, cases): + rng = random.Random(0xA10B0002) + mask = (1 << cases) - 1 + for step in [1, 257, 800, 1200, 1470, 1600]: + k, upper = new_mod.safe_active_windows(256, step)["t_addsub"] + old = old_mod.compact_prefix_addsub_gate( + k=k, K=upper, mode="sub", sign_update=False, + capture_borrow_sign=False, target="work2", name="T_SUB_OLD", + ) + new = new_mod.compact_prefix_addsub_gate( + k=k, K=upper, mode="sub", sign_update=False, + capture_borrow_sign=False, target="work2", name="T_SUB_NEW", + ) + width = upper - k + 1 + old_scratch = old.num_qubits - (2 + 2 * width + 8 + 1) + new_scratch = new.num_qubits - (2 + 2 * width + 8 + 1) + common = [ + ("Ctrl", 1), + ("Sign", 1), + ("Work1", width), + ("Work2", width), + ("l_t", 8), + ("Borrowed", 1), + ] + old_layout = v.positional_layout(common + [("Scratch", old_scratch)]) + new_layout = v.positional_layout(common + [("Scratch", new_scratch)]) + encoded_values = [ + rng.randrange(0, max(1, upper - 1)) for _ in range(cases) + ] + values = { + "Ctrl": [rng.getrandbits(cases)], + "Sign": [rng.getrandbits(cases)], + "Work1": v.random_words(width, cases, rng), + "Work2": v.random_words(width, cases, rng), + "l_t": words_from_values(encoded_values, 8), + "Borrowed": [rng.getrandbits(cases)], + } + run_pair( + f"T-sub step {step}", old, new, old_layout, new_layout, + values, {}, cases, + ) + print( + f"PASS T-sub step={step} window={k}:{upper} " + f"scratch={old_scratch}->{new_scratch}", + flush=True, + ) + + +def check_t_add(old_mod, new_mod, cases): + rng = random.Random(0xA10B0003) + mask = (1 << cases) - 1 + for step in [1, 800, 1470, 1600]: + k, upper = new_mod.safe_active_windows(256, step)["t_addsub"] + old = old_mod.compact_prefix_add_midtail_gate(n=256, k=k, K=upper) + new = new_mod.compact_prefix_add_midtail_gate(n=256, k=k, K=upper) + common = [ + ("Ctrl", 1), + ("Sign", 1), + ("Tail", 1), + ("Work1", 259), + ("Work2", 259), + ("l_t", 8), + ("l_s", 9), + ("l_rp", 8), + ("Borrowed", 1), + ] + old_layout = v.positional_layout(common + [("Scratch", 10)]) + new_layout = v.positional_layout(common + [("Scratch", 9)]) + encoded_values = [ + rng.randrange(0, max(1, upper - 1)) for _ in range(cases) + ] + ls_values = [rng.randrange(0, 259) for _ in range(cases)] + lrp_values = [rng.randrange(0, 256) for _ in range(cases)] + values = { + "Ctrl": [rng.getrandbits(cases)], + "Sign": [rng.getrandbits(cases)], + "Tail": [0], + "Work1": v.random_words(259, cases, rng), + "Work2": v.random_words(259, cases, rng), + "l_t": words_from_values(encoded_values, 8), + "l_s": words_from_values(ls_values, 9), + "l_rp": words_from_values(lrp_values, 8), + "Borrowed": [rng.getrandbits(cases)], + } + run_pair( + f"T-add step {step}", old, new, old_layout, new_layout, + values, {}, cases, + ) + print(f"PASS T-add step={step} window={k}:{upper}", flush=True) + + +def check_terminal(old_mod, new_mod, cases): + rng = random.Random(0xA10B0004) + mask = (1 << cases) - 1 + for step in [1024, 1200, 1400, 1524, 1600]: + windows = new_mod.safe_active_windows(256, step) + k4, upper4 = windows["len_update_lt"] + k5, upper5 = windows["len_update_lrp"] + old = old_mod.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=upper4, k5=k5, K5=upper5 + ) + new = new_mod.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=upper4, k5=k5, K5=upper5 + ) + common = [ + ("Ctrl", 1), + ("Work1", 259), + ("Work2", 259), + ("l_t", 8), + ("l_rp", 8), + ("Borrowed", 1), + ] + old_layout = v.positional_layout( + common + [("Extension", 1), ("Scratch", 10)] + ) + new_layout = v.positional_layout( + common + [("Extension", 1), ("Extra", 1), ("Scratch", 9)] + ) + ctrl = rng.getrandbits(cases) + extension = rng.getrandbits(cases) & (mask ^ ctrl) + extra = rng.getrandbits(cases) & (mask ^ ctrl) + # These boundary registers are derived from 8-bit length lanes: + # boundary_b = 258 - l_rp and boundary_a = l_t + 3. The certified + # physical window can include label 259, but that label has no + # representable pre-affine 8-bit endpoint for this block. + boundary_b = [ + rng.randrange(max(3, k4), min(258, upper4) + 1) + for _ in range(cases) + ] + boundary_a = [ + rng.randrange(max(3, k5), min(258, upper5) + 1) + for _ in range(cases) + ] + values = { + "Ctrl": [ctrl], + "Work1": v.random_words(259, cases, rng), + "Work2": v.random_words(259, cases, rng), + "l_t": words_from_values([value - 3 for value in boundary_a], 8), + "l_rp": words_from_values([258 - value for value in boundary_b], 8), + "Borrowed": [rng.getrandbits(cases)], + "Extension": [extension], + } + run_pair( + f"terminal step {step}", old, new, old_layout, new_layout, + values, {"Extra": [extra]}, cases, + ) + print( + f"PASS terminal step={step} windows={k4}:{upper4},{k5}:{upper5}", + flush=True, + ) + + +def check_full_step(old_mod, new_mod, cases): + rng = random.Random(0xA10B0005) + mask = (1 << cases) - 1 + old = old_mod.build_step_circuit( + 256, 1, T_max=1616, aux_size=11, measurement_uncompute=False + ) + new = new_mod.build_step_circuit( + 256, 1, T_max=1616, aux_size=10, measurement_uncompute=False + ) + if (old.num_qubits, new.num_qubits) != (577, 576): + raise AssertionError(f"full-step widths {old.num_qubits}/{new.num_qubits}") + values = { + "Phase1": [0], + "Phase2": [0], + "Iter": [rng.getrandbits(cases)], + "Sign": [0], + "Work1": v.random_words(259, cases, rng), + "Work2": v.random_words(259, cases, rng), + "l_t": v.constant_word(0, 8, mask), + "l_q": v.constant_word((1 << 9) - 1, 9, mask), + "l_s": v.constant_word(258, 9, mask), + "l_rp": v.constant_word(254, 8, mask), + "DirtyPassenger": v.random_words(10, cases, rng), + } + old_state, new_state = v.initialize_common(old, new, values) + old_initial, new_initial = old_state.copy(), new_state.copy() + v.apply(old, old_state, mask) + v.apply(new, new_state, mask) + v.compare_outputs("full step 1", old, old_state, new, new_state) + v.apply(old, old_state, mask, inverse=True) + v.apply(new, new_state, mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("full step 1 inverse mismatch") + print("PASS full-step differential Qiskit width=577->576", flush=True) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--old", type=Path, required=True) + parser.add_argument("--new", type=Path, required=True) + parser.add_argument("--cases", type=int, default=32) + args = parser.parse_args() + old_mod = v.load_module("aux10_candidate_old", args.old.resolve()) + new_mod = v.load_module("aux10_candidate_new", args.new.resolve()) + stage1.check_pre_shift(old_mod, new_mod, args.cases) + stage1.check_phase_update(old_mod, new_mod, args.cases) + stage1.check_lc_swap(old_mod, new_mod, args.cases) + check_r(old_mod, new_mod, args.cases) + check_t_sub(old_mod, new_mod, args.cases) + check_t_add(old_mod, new_mod, args.cases) + check_terminal(old_mod, new_mod, args.cases) + check_full_step(old_mod, new_mod, args.cases) + print("PASS complete Aux10 differential suite", flush=True) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_invariants.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_invariants.py new file mode 100644 index 00000000..819906d1 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_invariants.py @@ -0,0 +1,363 @@ +#!/usr/bin/env python3 +"""Structural proof checks for the Q822 Aux10 candidate.""" + +from __future__ import annotations + +import argparse +from functools import lru_cache +import hashlib +import importlib.util +from pathlib import Path +import sys + +from qiskit import QuantumCircuit, QuantumRegister + +import verify_aux11_reductions as sim +import derive_active_windows as schedule + + +MAX_QUOTIENT_WEIGHT = 256 +SEALED_Q823_GENERATOR_SHA256 = ( + "4c0ddee95526526b9a3c9fa66ab5e1f65f6f03a747936c0468ee7ba1932c9224" +) +Q822_GENERATOR_SHA256 = ( + "b00c0801921234a7b7c528988addda914c8b229548959ab5c0d5fd2aeee922be" +) + + +def load(name: str, path: Path): + spec = importlib.util.spec_from_file_location(name, path) + if spec is None or spec.loader is None: + raise RuntimeError(path) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +def exhaustive_lanes(width: int) -> tuple[list[int], int]: + cases = 1 << width + mask = (1 << cases) - 1 + lanes = [] + for bit in range(width): + lane = 0 + for case in range(cases): + if (case >> bit) & 1: + lane |= 1 << case + lanes.append(lane) + return lanes, mask + + +def check_borrowed_c2swap(module) -> None: + wires = QuantumRegister(5, "w") + qc = QuantumCircuit(wires) + module._borrowed_c2swap( + qc, wires[0], wires[1], wires[2], wires[3], wires[4] + ) + state, mask = exhaustive_lanes(5) + initial = state.copy() + sim.apply(qc, state, mask) + for case in range(1 << 5): + a, b, left, right, dirty = [ + (initial[index] >> case) & 1 for index in range(5) + ] + expected_left, expected_right = ( + (right, left) if a and b else (left, right) + ) + observed = [(state[index] >> case) & 1 for index in range(5)] + assert observed == [a, b, expected_left, expected_right, dirty] + sim.apply(qc, state, mask, inverse=True) + assert state == initial + print("PASS borrowed C2SWAP exhaustive states=32") + + +def check_raw_controls(module) -> None: + for controls in (3, 4): + wires = QuantumRegister(controls + 1 + max(1, controls - 2), "w") + qc = QuantumCircuit(wires) + target = wires[controls] + dirty = list(wires[controls + 1:]) + module._toggle_raw_controls_dirty( + qc, list(wires[:controls]), target, dirty + ) + state, mask = exhaustive_lanes(len(wires)) + initial = state.copy() + sim.apply(qc, state, mask) + for case in range(1 << len(wires)): + values = [(initial[index] >> case) & 1 for index in range(len(wires))] + product = int(all(values[:controls])) + expected = values.copy() + expected[controls] ^= product + observed = [(state[index] >> case) & 1 for index in range(len(wires))] + assert observed == expected + sim.apply(qc, state, mask, inverse=True) + assert state == initial + print( + f"PASS raw equality controls={controls} " + f"states={1 << len(wires)}", + flush=True, + ) + + +def phase_update( + phase1: int, + phase2: int, + sign: int, + *, + lq_zero: bool, + lrp_live: bool, + ls_zero: bool, +) -> tuple[int, int, int]: + """Apply the exact ordered Boolean updates in compact_phase_update_gate.""" + if lq_zero and lrp_live: + phase2 ^= sign + phase2 ^= phase1 + sign ^= phase2 + if ls_zero and lrp_live: + phase1 ^= 1 + phase2 ^= 1 + return phase1, phase2, sign + + +@lru_cache(maxsize=None) +def quotient_control_trace( + weight: int, +) -> tuple[ + tuple[tuple[int, ...], tuple[int, ...], tuple[int, ...]], + ..., +]: + """Derive every control state in one quotient cycle. + + Let q have bit length ``weight``, let ``t >= 1``, and let ``0 <= a < t`` + be the preceding coefficient magnitude. Phase C constructs + + t' = a + q*t. + + At bit k, a zero quotient bit makes the temporary subtraction underflow: + + a + (q mod 2**k)*t <= 2**k*t - 1. + + A one bit skips that subtraction. Hence Phase C reaches every phase + update with Sign=0. In Phase D, the fixed accumulator satisfies + + a + q*t < 2**weight*t + a + q*t >= 2**k*t, 1 <= k < weight. + + Thus only the first Phase-D subtraction underflows. These inequalities + derive the sign recurrence; no Phase2=Sign premise is assumed. + """ + assert 1 <= weight <= MAX_QUOTIENT_WEIGHT + phase1 = phase2 = sign = 0 + l_q = l_s = 0 + rows = [] + + # The integer inequalities are independent of the positive scale t. + # Use t=2 only to check their tight endpoints without enumerating q. + t = 2 + preceding_max = t - 1 + q_min = 1 << (weight - 1) + q_max = (1 << weight) - 1 + + for local_step in range(1, 4 * weight + 1): + entry = (phase1, phase2, sign, l_q, l_s) + if local_step <= weight: + assert (phase1, phase2, sign) == (0, 0, 0) + l_s += 1 + # The first oversized R shift occurs exactly at the bit-length + # boundary and is the A-to-B transition witness. + sign = int(local_step == weight) + elif local_step <= 2 * weight: + assert (phase1, phase2, sign) == (0, 1, 0) + l_s -= 1 + l_q += 1 + # The quotient target bit is fresh zero. Swapping it with the + # subtraction predicate stores the bit and clears Sign. + sign = 0 + elif local_step <= 3 * weight: + assert (phase1, phase2, sign) == (1, 0, 0) + bit_index = local_step - 2 * weight - 1 + assert preceding_max + ((1 << bit_index) - 1) * t < ( + 1 << bit_index + ) * t + l_q -= 1 + l_s += 1 + # If q_k=0 the subtraction underflows by the bound above; if + # q_k=1 it is skipped. Both branches leave Sign=0. + sign = 0 + else: + assert (phase1, phase2) == (1, 1) + shift = l_s + assert 1 <= shift <= weight + if shift == weight: + assert preceding_max + q_max * t < (1 << shift) * t + underflow = 1 + else: + assert q_min * t >= (1 << shift) * t + underflow = 0 + # Phase2=1 forces the subtract; the restoring add toggles Sign + # first by one and then by the exact underflow predicate. + sign ^= 1 + sign ^= underflow + l_s -= 1 + + pre_phase = (phase1, phase2, sign, l_q, l_s) + phase1, phase2, sign = phase_update( + phase1, + phase2, + sign, + lq_zero=(l_q == 0), + lrp_live=True, + ls_zero=(l_s == 0), + ) + post_phase = (phase1, phase2, sign, l_q, l_s) + rows.append((entry, pre_phase, post_phase)) + + assert rows[-1][1][:3] == (1, 1, 1) + assert rows[-1][2][:3] == (0, 0, 0) + return tuple(rows) + + +def check_terminal_loans() -> None: + for weight in range(1, MAX_QUOTIENT_WEIGHT + 1): + trace = quotient_control_trace(weight) + assert len(trace) == 4 * weight + for local_step, (_, pre_phase, post_phase) in enumerate(trace, 1): + terminal = post_phase[3:] == (0, 0) + if terminal: + assert local_step == 4 * weight + assert pre_phase[:3] == (1, 1, 1) + assert post_phase[:3] == (0, 0, 0) + + # Check the same derived controls on every state in the relaxed certified + # schedule envelope used to derive the 1,616 stream windows. + total_candidates = 0 + terminal_candidates = 0 + for step in range(1, 1617): + for prefix_cost in range( + 0, + min(schedule.MAX_WEIGHTED_COST - 1, (step - 1) // 4) + 1, + ): + if prefix_cost == 1: + continue + local_step = step - 4 * prefix_cost + interval = schedule.feasible_weight_interval(prefix_cost, local_step) + if interval is None: + continue + for weight in range(interval[0], interval[1] + 1): + total_candidates += 1 + _, pre_phase, post_phase = quotient_control_trace(weight)[ + local_step - 1 + ] + if post_phase[3:] == (0, 0): + terminal_candidates += 1 + assert step % 4 == 0 + assert pre_phase[:3] == (1, 1, 1) + assert post_phase[:3] == (0, 0, 0) + + assert total_candidates == 23_890_924 + assert terminal_candidates == 62_913 + + # Once l_rp is terminal, the candidate guards both phase transitions off. + for phase1 in range(2): + for phase2 in range(2): + for sign in range(2): + assert phase_update( + phase1, + phase2, + sign, + lq_zero=True, + lrp_live=False, + ls_zero=True, + ) == (phase1, phase2, sign) + print( + "PASS terminal Phase1/Phase2 derived-clean loans " + f"weights={MAX_QUOTIENT_WEIGHT} states={total_candidates} " + f"terminal={terminal_candidates}" + ) + + +def check_generator_hashes(candidate: Path, sealed_generator: Path | None) -> None: + candidate_sha256 = hashlib.sha256(candidate.read_bytes()).hexdigest() + assert candidate_sha256 == Q822_GENERATOR_SHA256 + if sealed_generator is not None: + sealed_sha256 = hashlib.sha256(sealed_generator.read_bytes()).hexdigest() + assert sealed_sha256 == SEALED_Q823_GENERATOR_SHA256 + print( + "PASS generator identities " + f"sealed_q823_sha256={SEALED_Q823_GENERATOR_SHA256} " + f"q822_sha256={candidate_sha256}" + ) + + +def check_tail_loan() -> None: + # Aux[0] starts clean. Every predicate is XOR-computed, consumed, and + # XOR-uncomputed before the restoring T add borrows it as Tail. + for phase1 in range(2): + for phase2 in range(2): + for sign in range(2): + predicate = phase1 & (phase2 | (sign ^ 1)) + ctrl = 0 + ctrl ^= predicate + ctrl ^= predicate + assert ctrl == 0 + print("PASS restoring-T Tail clean-loan truth table states=8") + + +def check_scratch_census(module) -> None: + maxima = { + "swap_local_scratch": 0, + "t_prefix_scratch": 0, + "terminal_map_scratch": 0, + } + for row in module._CERTIFIED_WINDOW_ROWS: + k, upper = (1, 1) if row["quotient_swap"] is None else row["quotient_swap"] + depth = module._tight_unary_depth_for_labels(list(range(k, upper + 1))) + maxima["swap_local_scratch"] = max( + maxima["swap_local_scratch"], max(module.LQ_WIDTH, depth) + 1 + ) + + k, upper = (1, 1) if row["t_addsub"] is None else row["t_addsub"] + encoded = list(range(0, upper - 1)) + depth = module._tight_unary_depth_for_labels(encoded) + t_scratch = max(max(0, depth - 1), module.LT_WIDTH - 1) + 2 + maxima["t_prefix_scratch"] = max( + maxima["t_prefix_scratch"], t_scratch + ) + + for key in ("len_update_lt", "len_update_lrp"): + bounds = row[key] + if bounds is None: + continue + depth = module._tight_unary_depth_for_labels( + list(range(bounds[0], bounds[1] + 1)) + ) + maxima["terminal_map_scratch"] = max( + maxima["terminal_map_scratch"], max(1, depth) + ) + + assert maxima == { + "swap_local_scratch": 10, + "t_prefix_scratch": 9, + "terminal_map_scratch": 9, + } + assert module.CLEAN_AUX_SIZE == 10 + print(f"PASS 1616-step scratch census {maxima}") + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--candidate", type=Path, required=True) + parser.add_argument("--sealed-generator", type=Path) + args = parser.parse_args() + module = load("aux10_invariant_candidate", args.candidate.resolve()) + check_generator_hashes(args.candidate.resolve(), args.sealed_generator) + check_borrowed_c2swap(module) + check_raw_controls(module) + check_terminal_loans() + check_tail_loan() + check_scratch_census(module) + print("PASS Aux10 structural invariant suite") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_stage1.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_stage1.py new file mode 100644 index 00000000..83bcb7bf --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux10_stage1.py @@ -0,0 +1,188 @@ +#!/usr/bin/env python3 +"""Differential checks for the first Aux10 kernel reductions.""" + +from __future__ import annotations + +import argparse +from pathlib import Path +import random + +from verify_aux11_reductions import ( + apply, + constant_word, + get_positional, + initialize_positional, + load_module, + positional_layout, + random_words, + set_positional, +) + + +def assert_clean(label, state, layout, name): + if any(get_positional(state, layout, name)): + raise AssertionError(f"{label}: {name} not clean") + + +def check_pre_shift(old_mod, new_mod, cases): + rng = random.Random(0xA10A0001) + mask = (1 << cases) - 1 + old = old_mod.compact_pre_shift_gate(work_size=259) + new = new_mod.compact_pre_shift_gate(work_size=259) + common = [ + ("Phase1", 1), + ("Phase2", 1), + ("Work2", 259), + ("l_s", 9), + ] + old_layout = positional_layout(common + [("Scratch", 10)]) + new_layout = positional_layout(common + [("Scratch", 9)]) + values = { + "Phase1": [rng.getrandbits(cases)], + "Phase2": [rng.getrandbits(cases)], + "Work2": random_words(259, cases, rng), + "l_s": constant_word(258, 9, mask), + } + old_state, new_state = initialize_positional( + old, new, old_layout, new_layout, values + ) + old_initial, new_initial = old_state.copy(), new_state.copy() + apply(old, old_state, mask) + apply(new, new_state, mask) + for name in values: + if get_positional(old_state, old_layout, name) != get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"pre-shift: {name} differs") + assert_clean("pre-shift old", old_state, old_layout, "Scratch") + assert_clean("pre-shift new", new_state, new_layout, "Scratch") + apply(old, old_state, mask, inverse=True) + apply(new, new_state, mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("pre-shift inverse mismatch") + print(f"PASS pre-shift cases={cases}", flush=True) + + +def check_phase_update(old_mod, new_mod, cases): + rng = random.Random(0xA10A0002) + mask = (1 << cases) - 1 + old = old_mod.compact_phase_update_gate() + new = new_mod.compact_phase_update_gate() + common = [ + ("Phase1", 1), + ("Phase2", 1), + ("Sign", 1), + ("l_q", 9), + ("l_rp", 8), + ("l_s", 9), + ] + old_layout = positional_layout(common + [("Scratch", 10)]) + new_layout = positional_layout( + common + [("DirtyPassenger", 1), ("Scratch", 9)] + ) + dirty = [rng.getrandbits(cases)] + values = { + "Phase1": [rng.getrandbits(cases)], + "Phase2": [rng.getrandbits(cases)], + "Sign": [rng.getrandbits(cases)], + "l_q": random_words(9, cases, rng), + "l_rp": random_words(8, cases, rng), + "l_s": random_words(9, cases, rng), + } + old_state, new_state = initialize_positional( + old, new, old_layout, new_layout, values + ) + set_positional(new_state, new_layout, "DirtyPassenger", dirty) + old_initial, new_initial = old_state.copy(), new_state.copy() + apply(old, old_state, mask) + apply(new, new_state, mask) + for name in values: + if get_positional(old_state, old_layout, name) != get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"phase-update: {name} differs") + if get_positional(new_state, new_layout, "DirtyPassenger") != dirty: + raise AssertionError("phase-update: dirty lender not restored") + assert_clean("phase-update old", old_state, old_layout, "Scratch") + assert_clean("phase-update new", new_state, new_layout, "Scratch") + apply(old, old_state, mask, inverse=True) + apply(new, new_state, mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("phase-update inverse mismatch") + print(f"PASS phase-update cases={cases}", flush=True) + + +def check_lc_swap(old_mod, new_mod, cases): + rng = random.Random(0xA10A0003) + mask = (1 << cases) - 1 + for step in [1, 257, 800, 1200, 1470, 1600]: + k, upper = new_mod.safe_active_windows(256, step)["swap"] + old = old_mod.compact_lc_swap_gate(k=k, K=upper) + new = new_mod.compact_lc_swap_gate(k=k, K=upper) + width = upper - k + 2 + old_scratch = old.num_qubits - (3 + width + 8 + 9) + new_scratch = new.num_qubits - (3 + width + 8 + 9 + 1) + common = [ + ("Ctrl", 1), + ("Direction", 1), + ("Sign", 1), + ("Work1", width), + ("l_t", 8), + ("l_q", 9), + ] + old_layout = positional_layout(common + [("Scratch", old_scratch)]) + new_layout = positional_layout( + common + [("DirtyPassenger", 1), ("Scratch", new_scratch)] + ) + dirty = [rng.getrandbits(cases)] + values = { + "Ctrl": [rng.getrandbits(cases)], + "Direction": [rng.getrandbits(cases)], + "Sign": [rng.getrandbits(cases)], + "Work1": random_words(width, cases, rng), + "l_t": random_words(8, cases, rng), + "l_q": random_words(9, cases, rng), + } + old_state, new_state = initialize_positional( + old, new, old_layout, new_layout, values + ) + set_positional(new_state, new_layout, "DirtyPassenger", dirty) + old_initial, new_initial = old_state.copy(), new_state.copy() + apply(old, old_state, mask) + apply(new, new_state, mask) + for name in values: + if get_positional(old_state, old_layout, name) != get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"LC step {step}: {name} differs") + if get_positional(new_state, new_layout, "DirtyPassenger") != dirty: + raise AssertionError(f"LC step {step}: dirty lender not restored") + assert_clean(f"LC step {step} old", old_state, old_layout, "Scratch") + assert_clean(f"LC step {step} new", new_state, new_layout, "Scratch") + apply(old, old_state, mask, inverse=True) + apply(new, new_state, mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError(f"LC step {step}: inverse mismatch") + print( + f"PASS LC step={step} window={k}:{upper} " + f"scratch={old_scratch}->{new_scratch}", + flush=True, + ) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--old", type=Path, required=True) + parser.add_argument("--new", type=Path, required=True) + parser.add_argument("--cases", type=int, default=64) + args = parser.parse_args() + old_mod = load_module("aux10_stage1_old", args.old.resolve()) + new_mod = load_module("aux10_stage1_new", args.new.resolve()) + check_pre_shift(old_mod, new_mod, args.cases) + check_phase_update(old_mod, new_mod, args.cases) + check_lc_swap(old_mod, new_mod, args.cases) + print("PASS Aux10 stage-1 differential suite", flush=True) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_invariants.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_invariants.py new file mode 100644 index 00000000..639de3b3 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_invariants.py @@ -0,0 +1,173 @@ +#!/usr/bin/env python3 +"""Structural support checks for the paper2607 11-clean-aux route.""" + +from __future__ import annotations + +import hashlib +import json +from pathlib import Path + +import derive_active_windows as schedule + + +MAX_QUOTIENT_WEIGHT = 256 +SHIFT_MODULUS = 259 +MAX_TERMINAL_PADDING_STEPS = 592 +ACTIVE_WINDOWS_SHA256 = ( + "3e1961f5550249604bf044edb65f1d1bc403ed75bd7178e283685ddb4f3cb880" +) + + +def check_phase_update_identity() -> None: + for phase1 in range(2): + for sign in range(2): + for phase2 in range(2): + for condition in range(2): + original = phase2 ^ (condition & (sign ^ phase1)) + reduced = ( + phase2 + ^ (condition & sign) + ^ (condition & phase1) + ) + assert reduced == original + print("PASS phase-update temporary elimination states=16") + + +def check_length_swap_loan() -> None: + for phase1 in range(2): + for phase2 in range(2): + control = phase1 ^ phase2 + cleared = phase2 ^ control ^ phase1 + assert cleared == 0 + restored = cleared ^ phase1 ^ control + assert restored == phase2 + print("PASS length-swap Phase2 loan states=4") + + +def post_step_metadata(weight: int, local_step: int) -> tuple[int, int, int]: + """Return (l_q, l_s, Phase1) after the phase update.""" + assert 1 <= local_step <= 4 * weight + if local_step <= weight: + # Phase A: the pre-shift has advanced l_s and cannot reach zero. + return 0, local_step, 0 + if local_step <= 2 * weight: + # Phase B: l_q increments while the post-shift decreases l_s. + index = local_step - weight + l_q = index + l_s = weight - index + phase1 = 1 if l_s == 0 else 0 + return l_q, l_s, phase1 + if local_step <= 3 * weight: + # Phase C: l_q decreases while the post-shift advances l_s. + index = local_step - 2 * weight + return weight - index, index, 1 + # Phase D: l_q is zero and the post-shift decreases l_s. At the + # quotient boundary, the guarded phase update toggles Phase1 to zero. + index = local_step - 3 * weight + l_s = weight - index + return 0, l_s, 0 if l_s == 0 else 1 + + +def check_terminal_extension_support() -> None: + triggers = 0 + for weight in range(1, MAX_QUOTIENT_WEIGHT + 1): + for local_step in range(1, 4 * weight + 1): + l_q, l_s, phase1 = post_step_metadata(weight, local_step) + if l_q == 0 and l_s == 0: + triggers += 1 + assert phase1 == 0 + + # Once l_rp is zero, the implementation guards both phase transitions + # with l_rp != 0. Phase1 therefore remains zero even when the modulo-259 + # shift counter revisits its zero sentinel during terminal padding. + phase1 = 0 + l_s = 0 + padding_triggers = 0 + for _ in range(MAX_TERMINAL_PADDING_STEPS): + l_s = (l_s + 1) % SHIFT_MODULUS + if l_s == 0: + padding_triggers += 1 + assert phase1 == 0 + + assert triggers == MAX_QUOTIENT_WEIGHT + assert padding_triggers == MAX_TERMINAL_PADDING_STEPS // SHIFT_MODULUS + print( + "PASS terminal Phase1 extension " + f"weights={MAX_QUOTIENT_WEIGHT} quotient_triggers={triggers} " + f"padding_steps={MAX_TERMINAL_PADDING_STEPS} " + f"padding_triggers={padding_triggers}" + ) + + +def check_relaxed_terminal_envelope() -> None: + table_path = Path(__file__).with_name("active_windows_1616.json") + table_bytes = table_path.read_bytes() + assert hashlib.sha256(table_bytes).hexdigest() == ACTIVE_WINDOWS_SHA256 + rows = json.loads(table_bytes)["rows"] + assert len(rows) == 1616 + + total_candidates = 0 + terminal_candidates = 0 + bad_terminal_candidates = 0 + for row in rows: + step = int(row["step"]) + phase_counts = {phase: 0 for phase in "ABCD"} + candidates = 0 + for prefix_cost in range( + 0, + min(schedule.MAX_WEIGHTED_COST - 1, (step - 1) // 4) + 1, + ): + if prefix_cost == 1: + continue + local_step = step - 4 * prefix_cost + interval = schedule.feasible_weight_interval(prefix_cost, local_step) + if interval is None: + continue + for weight in range(interval[0], interval[1] + 1): + features = schedule.phase_features(weight, local_step) + phase = str(features["phase"]) + phase_counts[phase] += 1 + candidates += 1 + l_q, l_s, phase1 = post_step_metadata(weight, local_step) + if l_q == 0 and l_s == 0: + terminal_candidates += 1 + assert step % 4 == 0 + if phase1: + bad_terminal_candidates += 1 + + expected = row["proof_state_counts"] + assert candidates == int(expected["relaxed_candidates"]) + for phase in "ABCD": + assert phase_counts[phase] == int(expected[f"phase_{phase}"]) + total_candidates += candidates + + assert total_candidates == 23_890_924 + assert terminal_candidates == 62_913 + assert bad_terminal_candidates == 0 + print( + "PASS relaxed terminal envelope " + f"states={total_candidates} terminal={terminal_candidates} " + f"bad={bad_terminal_candidates} table_sha256={ACTIVE_WINDOWS_SHA256}" + ) + + +def check_live_r_mode_support() -> None: + for phase1 in range(2): + for remainder_is_live in range(2): + control = remainder_is_live & (phase1 ^ 1) + if control: + assert phase1 == 0 + print("PASS live-R Mode extension predicate states=4") + + +def main() -> None: + check_phase_update_identity() + check_length_swap_loan() + check_terminal_extension_support() + check_relaxed_terminal_envelope() + check_live_r_mode_support() + print("PASS aux11 structural support suite") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_probe_output.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_probe_output.py new file mode 100644 index 00000000..34f47349 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_probe_output.py @@ -0,0 +1,74 @@ +#!/usr/bin/env python3 +"""Validate the independent aux11 bit-sliced stream probe output.""" + +from __future__ import annotations + +import argparse +from pathlib import Path +import re + + +P = 2**256 - 2**32 - 977 +SCHEDULE_STEPS = 1616 +SHIFT_MODULUS = 259 +TRACE = re.compile( + r"x=([0-9a-f]+) iter=([01]) padding=(\d+) work2=([0-9a-f]+)$" +) + + +def exact_steps(x: int) -> int: + x = min(x, P - x) + cost = 0 + previous = P + while x: + quotient, remainder = divmod(previous, x) + cost += quotient.bit_length() + previous, x = x, remainder + return 4 * cost + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("output", type=Path) + args = parser.parse_args() + + traces = [] + reverse_pass = False + for raw_line in args.output.read_text(encoding="utf-8").splitlines(): + line = raw_line.strip() + match = TRACE.fullmatch(line) + if match: + traces.append(match.groups()) + elif line == "PASS cases=9 forward_reverse=exact": + reverse_pass = True + elif line: + raise AssertionError(f"unexpected probe output: {line}") + + if len(traces) != 9 or not reverse_pass: + raise AssertionError( + f"incomplete probe: traces={len(traces)} reverse_pass={reverse_pass}" + ) + for x_hex, iteration_text, padding_text, work2_hex in traces: + x = int(x_hex, 16) + iteration = int(iteration_text) + padding = int(padding_text) + work2 = int(work2_hex, 16) + if work2 >> 256: + raise AssertionError(f"x={x_hex}: nonzero terminal padding lanes") + inverse = work2 if iteration else (P - work2) % P + expected_inverse = pow(x, -1, P) + if inverse != expected_inverse: + raise AssertionError( + f"x={x_hex}: inverse={hex(inverse)} expected={hex(expected_inverse)}" + ) + expected_padding = (SCHEDULE_STEPS - exact_steps(x)) % SHIFT_MODULUS + if padding != expected_padding: + raise AssertionError( + f"x={x_hex}: padding={padding} expected={expected_padding}" + ) + + print(f"PASS traces={len(traces)} inverses=exact padding=exact reverse=exact") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_reductions.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_reductions.py new file mode 100644 index 00000000..c5be3d78 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_aux11_reductions.py @@ -0,0 +1,433 @@ +#!/usr/bin/env python3 +"""Differential basis-state checks for the paper2607 11-clean-aux route.""" + +from __future__ import annotations + +import argparse +import importlib.util +from pathlib import Path +import random +import sys + + +PRIMITIVES = {"x", "cx", "ccx", "z", "cz", "swap", "clean_c3x_mbu"} +LOGICAL_REGISTERS = ( + "Phase1", + "Phase2", + "Iter", + "Sign", + "Work1", + "Work2", + "l_t", + "l_q", + "l_s", + "l_rp", + "DirtyPassenger", +) + + +def load_module(name: str, path: Path): + spec = importlib.util.spec_from_file_location(name, path) + if spec is None or spec.loader is None: + raise RuntimeError(f"cannot load {path}") + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + + +def as_circuit(obj): + if hasattr(obj, "data"): + return obj + definition = getattr(obj, "definition", None) + if definition is None: + raise TypeError(f"{obj!r} has no circuit definition") + return definition + + +def qindex(circuit, qubit) -> int: + circuit = as_circuit(circuit) + return circuit.find_bit(qubit).index + + +def qreg(circuit, name: str): + circuit = as_circuit(circuit) + matches = [register for register in circuit.qregs if register.name == name] + if len(matches) != 1: + raise AssertionError(f"{circuit.name}: register {name!r}: {len(matches)} matches") + return matches[0] + + +def flatten(circuit, qmap=None): + circuit = as_circuit(circuit) + if qmap is None: + qmap = {qubit: index for index, qubit in enumerate(circuit.qubits)} + for item in circuit.data: + operation = item.operation + qargs = [qmap[qubit] for qubit in item.qubits] + name = operation.name.lower() + if name in PRIMITIVES: + yield name, qargs + continue + definition = operation.definition + if definition is None: + raise ValueError(f"opaque operation {operation.name!r}") + child_map = { + qubit: qargs[index] for index, qubit in enumerate(definition.qubits) + } + yield from flatten(definition, child_map) + + +def apply(circuit, state: list[int], case_mask: int, *, inverse: bool = False) -> None: + operations = list(flatten(circuit)) + if inverse: + operations.reverse() + for name, qargs in operations: + if name == "x": + state[qargs[0]] ^= case_mask + elif name == "cx": + state[qargs[1]] ^= state[qargs[0]] + elif name == "ccx": + state[qargs[2]] ^= state[qargs[0]] & state[qargs[1]] + elif name == "swap": + state[qargs[0]], state[qargs[1]] = state[qargs[1]], state[qargs[0]] + elif name == "clean_c3x_mbu": + if state[qargs[4]] != 0: + raise AssertionError("clean-C3X temporary is not clean") + state[qargs[3]] ^= ( + state[qargs[0]] & state[qargs[1]] & state[qargs[2]] + ) + elif name in {"z", "cz"}: + continue + else: + raise AssertionError(name) + + +def random_words(width: int, cases: int, rng: random.Random) -> list[int]: + lanes = [0] * width + for case in range(cases): + value = rng.getrandbits(width) + for bit in range(width): + if (value >> bit) & 1: + lanes[bit] |= 1 << case + return lanes + + +def constant_word(value: int, width: int, case_mask: int) -> list[int]: + return [case_mask if (value >> bit) & 1 else 0 for bit in range(width)] + + +def positional_layout(fields: list[tuple[str, int]]) -> dict[str, range]: + offset = 0 + layout = {} + for name, width in fields: + layout[name] = range(offset, offset + width) + offset += width + return layout + + +def set_positional( + state: list[int], layout: dict[str, range], name: str, values: list[int] +) -> None: + positions = layout[name] + if len(positions) != len(values): + raise AssertionError(f"{name}: width {len(positions)} != {len(values)}") + for position, value in zip(positions, values): + state[position] = value + + +def get_positional( + state: list[int], layout: dict[str, range], name: str +) -> list[int]: + return [state[position] for position in layout[name]] + + +def initialize_positional( + old, + new, + old_layout: dict[str, range], + new_layout: dict[str, range], + values: dict[str, list[int]], +) -> tuple[list[int], list[int]]: + old_state = [0] * old.num_qubits + new_state = [0] * new.num_qubits + for name, lanes in values.items(): + set_positional(old_state, old_layout, name, lanes) + set_positional(new_state, new_layout, name, lanes) + return old_state, new_state + + +def set_register(circuit, state: list[int], name: str, values: list[int]) -> None: + register = qreg(circuit, name) + if len(register) != len(values): + raise AssertionError(f"{name}: width {len(register)} != {len(values)}") + for qubit, value in zip(register, values): + state[qindex(circuit, qubit)] = value + + +def get_register(circuit, state: list[int], name: str) -> list[int]: + return [state[qindex(circuit, qubit)] for qubit in qreg(circuit, name)] + + +def compare_outputs(label: str, old, old_state, new, new_state) -> None: + for name in LOGICAL_REGISTERS: + if get_register(old, old_state, name) != get_register(new, new_state, name): + raise AssertionError(f"{label}: {name} differs") + if any(get_register(old, old_state, "Aux")): + raise AssertionError(f"{label}: old Aux not clean") + if any(get_register(new, new_state, "Aux")): + raise AssertionError(f"{label}: new Aux not clean") + + +def initialize_common(old, new, values: dict[str, list[int]]) -> tuple[list[int], list[int]]: + old_state = [0] * old.num_qubits + new_state = [0] * new.num_qubits + for name, lanes in values.items(): + set_register(old, old_state, name, lanes) + set_register(new, new_state, name, lanes) + return old_state, new_state + + +def check_full_steps(original, candidate, *, cases: int, quick: bool) -> None: + rng = random.Random(0x823F011) + # Arbitrary metadata is not a supported input to later microsteps: even the + # aux12 reference can leave its scratch live there. Step 1 remains useful + # as a whole-caller differential check; later reachable trajectories are + # covered by the serialized-stream and official endpoint replays. + steps = [1] + case_mask = (1 << cases) - 1 + for step in steps: + old = original.build_step_circuit( + 256, step, T_max=1616, aux_size=12, measurement_uncompute=False, + ) + new = candidate.build_step_circuit( + 256, step, T_max=1616, aux_size=11, measurement_uncompute=False, + ) + if (old.num_qubits, new.num_qubits) != (578, 577): + raise AssertionError(f"step {step}: widths {old.num_qubits}/{new.num_qubits}") + + values = { + "Phase1": [0], + "Phase2": [0], + "Iter": [rng.getrandbits(cases)], + "Sign": [0], + "Work1": random_words(259, cases, rng), + "Work2": random_words(259, cases, rng), + "l_t": constant_word(0, 8, case_mask), + "l_q": constant_word((1 << 9) - 1, 9, case_mask), + "l_s": constant_word(258, 9, case_mask), + "l_rp": constant_word(254, 8, case_mask), + "DirtyPassenger": random_words(10, cases, rng), + } + old_state, new_state = initialize_common(old, new, values) + old_initial, new_initial = old_state.copy(), new_state.copy() + apply(old, old_state, case_mask) + apply(new, new_state, case_mask) + compare_outputs(f"step {step}", old, old_state, new, new_state) + apply(old, old_state, case_mask, inverse=True) + apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError(f"step {step}: reverse mismatch") + print(f"PASS full-step differential step={step} cases={cases}", flush=True) + + +def check_r_blocks(original, candidate, *, cases: int, quick: bool) -> None: + rng = random.Random(0x823A11) + steps = [1, 1470] if quick else [1, 257, 800, 1200, 1470, 1600] + case_mask = (1 << cases) - 1 + for step in steps: + k, upper = candidate.safe_active_windows(256, step)["r_addsub"] + old = original.compact_r_subrestore_fused_gate(n=256, k=k, K=upper) + new = candidate.compact_r_subrestore_fused_gate(n=256, k=k, K=upper) + work_width = upper - k + 1 + common_fields = [ + ("Ctrl", 1), + ("Phase2", 1), + ("Mode", 1), + ("Sign", 1), + ("Work1", work_width), + ("Work2", work_width), + ("l_t", 8), + ("l_q", 9), + ("l_s", 9), + ("DirtyPassenger", 10), + ] + old_layout = positional_layout(common_fields + [("Scratch", 11)]) + new_layout = positional_layout(common_fields + [("Scratch", 10)]) + ctrl = rng.getrandbits(cases) + mode = rng.getrandbits(cases) & (case_mask ^ ctrl) + values = { + "Ctrl": [ctrl], + "Phase2": [rng.getrandbits(cases)], + "Mode": [mode], + "Sign": [rng.getrandbits(cases)], + "Work1": random_words(upper - k + 1, cases, rng), + "Work2": random_words(upper - k + 1, cases, rng), + # Choose a certified in-window dynamic interval: + # lower=ell_t+ell_q+1=k and upper=259-ell_s=upper. + "l_t": constant_word(k - 2, 8, case_mask), + "l_q": constant_word((1 << 9) - 1, 9, case_mask), + "l_s": constant_word((258 - upper) % 259, 9, case_mask), + "DirtyPassenger": random_words(10, cases, rng), + } + old_state, new_state = initialize_positional( + old, new, old_layout, new_layout, values + ) + old_initial, new_initial = old_state.copy(), new_state.copy() + apply(old, old_state, case_mask) + apply(new, new_state, case_mask) + for name in values: + if get_positional(old_state, old_layout, name) != get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"R step {step}: {name} differs") + if any(get_positional(old_state, old_layout, "Scratch")): + raise AssertionError(f"R step {step}: old Scratch not clean") + if any(get_positional(new_state, new_layout, "Scratch")): + raise AssertionError(f"R step {step}: new Scratch not clean") + apply(old, old_state, case_mask, inverse=True) + apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError(f"R step {step}: reverse mismatch") + print(f"PASS R differential step={step} window={k}:{upper}", flush=True) + + +def check_phase_update(original, candidate, *, cases: int) -> None: + rng = random.Random(0x823FACE) + case_mask = (1 << cases) - 1 + old = original.compact_phase_update_gate() + new = candidate.compact_phase_update_gate() + common_fields = [ + ("Phase1", 1), + ("Phase2", 1), + ("Sign", 1), + ("l_q", 9), + ("l_rp", 8), + ("l_s", 9), + ] + old_layout = positional_layout(common_fields + [("Scratch", 11)]) + new_layout = positional_layout(common_fields + [("Scratch", 10)]) + values = { + "Phase1": [rng.getrandbits(cases)], + "Phase2": [rng.getrandbits(cases)], + "Sign": [rng.getrandbits(cases)], + "l_q": random_words(9, cases, rng), + "l_rp": random_words(8, cases, rng), + "l_s": random_words(9, cases, rng), + } + old_state, new_state = initialize_positional( + old, new, old_layout, new_layout, values + ) + old_initial, new_initial = old_state.copy(), new_state.copy() + apply(old, old_state, case_mask) + apply(new, new_state, case_mask) + for name in values: + if get_positional(old_state, old_layout, name) != get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"phase update: {name} differs") + if any(get_positional(old_state, old_layout, "Scratch")): + raise AssertionError("phase update: old Scratch not clean") + if any(get_positional(new_state, new_layout, "Scratch")): + raise AssertionError("phase update: new Scratch not clean") + apply(old, old_state, case_mask, inverse=True) + apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("phase update: reverse mismatch") + print(f"PASS phase-update differential cases={cases}", flush=True) + + +def check_terminal_blocks(original, candidate, *, cases: int, quick: bool) -> None: + rng = random.Random(0x8237E2) + # The end trigger is unreachable before the 1024-step lower horizon. + steps = [1524, 1600] if quick else [1024, 1200, 1400, 1524, 1600] + case_mask = (1 << cases) - 1 + for step in steps: + windows = candidate.safe_active_windows(256, step) + k4, upper4 = windows["len_update_lt"] + k5, upper5 = windows["len_update_lrp"] + old = original.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=upper4, k5=k5, K5=upper5, + ) + new = candidate.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=upper4, k5=k5, K5=upper5, + ) + common_fields = [ + ("Ctrl", 1), + ("Work1", 259), + ("Work2", 259), + ("l_t", 8), + ("l_rp", 8), + ("Borrowed", 1), + ] + old_layout = positional_layout(common_fields + [("Scratch", 11)]) + new_layout = positional_layout( + common_fields + [("Extension", 1), ("Scratch", 10)] + ) + ctrl = rng.getrandbits(cases) + extension = rng.getrandbits(cases) & (case_mask ^ ctrl) + boundary_b = max(3, k4) + if boundary_b > upper4: + raise AssertionError( + f"terminal step {step}: no valid l_rp boundary in {k4}:{upper4}" + ) + boundary_a = max(3, k5) + if boundary_a > upper5: + raise AssertionError( + f"terminal step {step}: no valid l_t boundary in {k5}:{upper5}" + ) + values = { + "Ctrl": [ctrl], + "Work1": random_words(259, cases, rng), + "Work2": random_words(259, cases, rng), + # LEN_LT scans B=258-enc(l_rp); LEN_LRP scans + # A=enc(l_t)+3. Keep both boundaries in their certificates. + "l_t": constant_word(boundary_a - 3, 8, case_mask), + "l_rp": constant_word(258 - boundary_b, 8, case_mask), + "Borrowed": [rng.getrandbits(cases)], + } + old_state, new_state = initialize_positional( + old, new, old_layout, new_layout, values + ) + set_positional(new_state, new_layout, "Extension", [extension]) + old_initial, new_initial = old_state.copy(), new_state.copy() + apply(old, old_state, case_mask) + apply(new, new_state, case_mask) + for name in values: + if get_positional(old_state, old_layout, name) != get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"terminal step {step}: {name} differs") + if get_positional(new_state, new_layout, "Extension") != [extension]: + raise AssertionError(f"terminal step {step}: Extension not restored") + if any(get_positional(old_state, old_layout, "Scratch")): + raise AssertionError(f"terminal step {step}: old Scratch not clean") + if any(get_positional(new_state, new_layout, "Scratch")): + raise AssertionError(f"terminal step {step}: new Scratch not clean") + apply(old, old_state, case_mask, inverse=True) + apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError(f"terminal step {step}: reverse mismatch") + print(f"PASS terminal differential step={step} cases={cases}", flush=True) + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--original", type=Path, required=True) + parser.add_argument("--candidate", type=Path, required=True) + parser.add_argument("--cases", type=int, default=32) + parser.add_argument("--quick", action="store_true") + args = parser.parse_args() + if not 1 <= args.cases <= 128: + raise SystemExit("--cases must be in 1..128") + original = load_module("paper2607_original", args.original.resolve()) + candidate = load_module("paper2607_candidate", args.candidate.resolve()) + check_phase_update(original, candidate, cases=args.cases) + check_r_blocks(original, candidate, cases=args.cases, quick=args.quick) + check_terminal_blocks(original, candidate, cases=args.cases, quick=args.quick) + check_full_steps(original, candidate, cases=args.cases, quick=args.quick) + print("PASS aux11 differential suite", flush=True) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_exactwidth_dirty12.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_exactwidth_dirty12.py new file mode 100644 index 00000000..9c900c45 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_exactwidth_dirty12.py @@ -0,0 +1,595 @@ +#!/usr/bin/env python3 +"""Exact basis-state checks for the Q824 compact metadata/dirty12 route.""" + +from __future__ import annotations + +import argparse +import sys +from pathlib import Path + +HERE = Path(__file__).resolve().parent +UPSTREAM = Path("/private/tmp/paper2607-upstream") +MODEL = Path("/private/tmp/paper2607-model-agent") +sys.path[:0] = [str(HERE), str(UPSTREAM), str(MODEL), "/private/tmp"] + +import eea_circuit_s835_exactwidth_dirty12 as eea +import test_eea_strict_main as test +from algorithm3_model import execute, preprocess, transition + +P = 2**256 - 2**32 - 977 +WITNESS_1500 = int( + "5DB3D742C265539D92BA16B83C5C1DC492EC1A6629ED23CC63905323D8E62784", 16 +) +WITNESS_1524 = int( + "5DB3D742C265539D92BA16B83C5C1DC492EC1A6629ED23CC63905323D96EFAEF", 16 +) +MIDTAIL_COUNTEREXAMPLE = int( + "3388404F41DACAE921DD05E202DD17CCF8EEEB35849727E593938548D173053A", 16 +) + + +def apply_instruction(inst, global_qids, lanes, all_cases, *, inverse: bool) -> None: + name = inst.name.lower() + if name == "x": + lanes[global_qids[0]] ^= all_cases + return + if name in {"cx", "cnot"}: + lanes[global_qids[1]] ^= lanes[global_qids[0]] + return + if name in {"ccx", "tof", "toffoli"}: + lanes[global_qids[2]] ^= lanes[global_qids[0]] & lanes[global_qids[1]] + return + if name in test.IGNORED: + return + definition = inst.definition + if definition is None: + raise ValueError(f"unsupported leaf {inst.name}") + items = list(test._iter_items(definition)) + if inverse: + items.reverse() + for subinst, subqubits in items: + sub_qids = [global_qids[test._qindex(definition, q)] for q in subqubits] + apply_instruction(subinst, sub_qids, lanes, all_cases, inverse=inverse) + + +def apply_circuit(qc, lanes, all_cases, *, inverse: bool) -> None: + items = list(test._iter_items(qc)) + if inverse: + items.reverse() + for inst, qargs in items: + qids = [test._qindex(qc, q) for q in qargs] + apply_instruction(inst, qids, lanes, all_cases, inverse=inverse) + + +def rotl(bits: str, amount: int) -> str: + amount %= len(bits) + return bits[amount:] + bits[:amount] + + +def work1_bits(state) -> str: + t = (bin(state.t)[2:][::-1] if state.t else "") + "0" + q = bin(state.q)[2:2 + state.l_q] if state.q else "" + r = bin(state.r)[2:].zfill(state.p.bit_length() + 2 - state.l_t - state.l_q) + out = t + q + r + assert len(out) == state.p.bit_length() + 3, (state, out) + return out + + +def work2_bits(state) -> str: + n = state.p.bit_length() + t = bin(state.t_prime)[2:].zfill(n + 3 - state.l_r_prime)[::-1] + r = bin(state.r_prime)[2:] if state.r_prime else "" + out = t + r + assert len(out) == n + 3, (state, out) + return rotl(out, state.l_shift) + + +def enc_lt(value: int) -> int: + if not 1 <= value <= 256: + raise AssertionError(f"l_t domain: {value}") + return value - 1 + + +def enc_lq(value: int) -> int: + if not 0 <= value <= 256: + raise AssertionError(f"l_q domain: {value}") + return (value - 1) % (1 << eea.LQ_WIDTH) + + +def enc_lrp(value: int) -> int: + if not 0 <= value <= 255: + raise AssertionError(f"l_rp domain: {value}") + return eea.LRP_ZERO if value == 0 else value - 1 + + +def enc_ls(value: int) -> int: + return (value - 1) % eea.LS_MODULUS + + +def reg_value(lanes, qc, name: str) -> int: + reg = test._get_qreg(qc, name) + return sum((lanes[test._qindex(qc, q)] & 1) << bit for bit, q in enumerate(reg)) + + +def initialize(qc, state, dirty_seed: int) -> list[int]: + initial: dict[int, int] = {} + reg = lambda name: test._get_qreg(qc, name) + for name, value in zip(("Phase1", "Phase2", "Iter", "Sign"), state.controls()): + if value: + initial[test._qindex(qc, reg(name)[0])] = 1 + test.set_bits_lr(initial, qc, reg("Work1"), work1_bits(state)) + test.set_bits_lr(initial, qc, reg("Work2"), work2_bits(state)) + for name, value in ( + ("l_t", enc_lt(state.l_t)), + ("l_q", enc_lq(state.l_q)), + ("l_s", enc_ls(state.l_shift)), + ("l_rp", enc_lrp(state.l_r_prime)), + ): + test.set_reg_int_le(initial, qc, reg(name), value) + for bit, qubit in enumerate(reg("DirtyPassenger")): + if (dirty_seed >> bit) & 1: + initial[test._qindex(qc, qubit)] = 1 + lanes = [0] * qc.num_qubits + for qid, value in initial.items(): + lanes[qid] = value + return lanes + + +def assert_state(label: str, qc, lanes, expected_state, dirty_before: int) -> None: + reg = lambda name: test._get_qreg(qc, name) + controls = tuple(lanes[test._qindex(qc, reg(name)[0])] & 1 + for name in ("Phase1", "Phase2", "Iter", "Sign")) + got_lengths = ( + reg_value(lanes, qc, "l_t"), + reg_value(lanes, qc, "l_q"), + reg_value(lanes, qc, "l_s"), + reg_value(lanes, qc, "l_rp"), + ) + want_lengths = ( + enc_lt(expected_state.l_t), enc_lq(expected_state.l_q), + enc_ls(expected_state.l_shift), enc_lrp(expected_state.l_r_prime), + ) + if controls != expected_state.controls() or got_lengths != want_lengths: + raise AssertionError( + f"{label}: controls={controls}/{expected_state.controls()} " + f"lengths={got_lengths}/{want_lengths}" + ) + if test.get_reg_bits_lr(lanes, qc, reg("Work1")) != work1_bits(expected_state): + raise AssertionError(f"{label}: Work1 mismatch") + if test.get_reg_bits_lr(lanes, qc, reg("Work2")) != work2_bits(expected_state): + raise AssertionError(f"{label}: Work2 mismatch") + if not test.clean_reg(lanes, qc, reg("Aux")): + raise AssertionError(f"{label}: Aux not clean") + dirty_after = reg_value(lanes, qc, "DirtyPassenger") + if dirty_after != dirty_before: + raise AssertionError(f"{label}: dirty changed {dirty_before:#x}->{dirty_after:#x}") + + +def check_step(label: str, x: int, step: int, dirty: int) -> None: + before = execute(preprocess(P, x).state, step - 1) + after = transition(before) + qc = eea.build_step_circuit( + 256, step, T_max=1616, aux_size=eea.CLEAN_AUX_SIZE, + measurement_uncompute=False, + ) + if qc.num_qubits != 577: + raise AssertionError(f"{label}: referenced width {qc.num_qubits}") + lanes = initialize(qc, before, dirty) + initial = lanes.copy() + apply_circuit(qc, lanes, 1, inverse=False) + assert_state(label, qc, lanes, after, dirty) + apply_circuit(qc, lanes, 1, inverse=True) + if lanes != initial: + changed = [i for i, (a, b) in enumerate(zip(initial, lanes)) if a != b] + raise AssertionError(f"{label}: reverse mismatch {changed[:12]}") + print(f"PASS step={step} label={label} dirty={dirty:#x} reverse=exact") + + +def check_borrowed_c3x() -> None: + from qiskit import QuantumCircuit, QuantumRegister + q = QuantumRegister(6, "q") + qc = QuantumCircuit(q) + eea._borrowed_c3x(qc, q[0], q[1], q[2], q[3], q[4]) + for raw in range(1 << 5): + lanes = [(raw >> bit) & 1 for bit in range(6)] + initial = lanes.copy() + apply_circuit(qc, lanes, 1, inverse=False) + if lanes[3] != (initial[3] ^ (initial[0] & initial[1] & initial[2])): + raise AssertionError("borrowed C3X target") + if lanes[4] != initial[4]: + raise AssertionError("borrowed C3X restoration") + apply_circuit(qc, lanes, 1, inverse=True) + if lanes != initial: + raise AssertionError("borrowed C3X inverse") + print("PASS borrowed_c3x states=32 dirty=restored phase=none") + + +def check_clean_c3x_mbu() -> None: + from qiskit import QuantumCircuit, QuantumRegister + + q = QuantumRegister(5, "q") + qc = QuantumCircuit(q) + eea._clean_c3x_mbu(qc, q[0], q[1], q[2], q[3], q[4]) + counts = qc.count_ops() + markers = sum(value for name, value in counts.items() + if name.lower() == "clean_c3x_mbu") + if markers != 1: + raise AssertionError(f"clean C3X marker count: {counts}") + + for raw in range(1 << 4): + lanes = [(raw >> bit) & 1 for bit in range(4)] + [0] + initial = lanes.copy() + apply_circuit(qc, lanes, 1, inverse=False) + if lanes[3] != (initial[3] ^ (initial[0] & initial[1] & initial[2])): + raise AssertionError(f"clean C3X target raw={raw:#x}") + if lanes[4] != 0: + raise AssertionError(f"clean C3X temporary raw={raw:#x}") + apply_circuit(qc, lanes, 1, inverse=True) + if lanes != initial: + raise AssertionError(f"clean C3X inverse raw={raw:#x}") + print("PASS clean_c3x_mbu states=16 temp=zero reverse=exact phase=discharged") + + +def check_kg_equality_clean_hmr() -> None: + from qiskit import QuantumCircuit, QuantumRegister + + q = QuantumRegister(5, "q") + qc = QuantumCircuit(q) + eea._kg_toggle_equality( + qc, base=[q[0], q[1]], c0=q[2], flag=q[3], clean_temp=q[4], + ) + counts = qc.count_ops() + markers = sum(value for name, value in counts.items() + if name.lower() == "clean_c3x_mbu") + if markers != 1: + raise AssertionError(f"KG equality marker count: {counts}") + + for raw in range(1 << 4): + lanes = [(raw >> bit) & 1 for bit in range(4)] + [0] + initial = lanes.copy() + apply_circuit(qc, lanes, 1, inverse=False) + expected = initial[3] ^ (initial[0] & initial[1] & initial[2]) + if lanes[3] != expected or lanes[4] != 0: + raise AssertionError(f"KG equality raw={raw:#x}: {lanes}") + apply_circuit(qc, lanes, 1, inverse=True) + if lanes != initial: + raise AssertionError(f"KG equality inverse raw={raw:#x}") + print("PASS kg_equality_clean_hmr states=16 temp=zero reverse=exact phase=discharged") + + +def check_r_fused_mode_cell() -> None: + from qiskit import QuantumCircuit, QuantumRegister + + # mode, ctrl, addend, target, carry, arbitrary reference dirty, clean temp + q = QuantumRegister(7, "q") + fused = QuantumCircuit(q) + eea._apply_r_fused_second_cell_clean_hmr( + fused, mode=q[0], ctrl=q[1], addend=q[2], target=q[3], + carry=q[4], clean_temp=q[6], + ) + finish_sub = QuantumCircuit(q) + eea._apply_cell_borrowed( + finish_sub, "sub", "second", q[1], q[2], q[3], q[4], q[5], + ) + undo_first = QuantumCircuit(q) + eea._apply_cell_borrowed( + undo_first, "add", "second", q[1], q[2], q[3], q[4], q[5], + ) + counts = fused.count_ops() + markers = sum(value for name, value in counts.items() + if name.lower() == "clean_c3x_mbu") + if markers != 1 or counts.get("ccx", 0) != 4: + raise AssertionError(f"fused R mode-cell primitive count: {counts}") + + for raw in range(1 << 6): + initial = [(raw >> bit) & 1 for bit in range(6)] + [0] + got = initial.copy() + want = initial.copy() + apply_circuit(fused, got, 1, inverse=False) + apply_circuit(undo_first if initial[0] else finish_sub, want, 1, inverse=False) + if got != want: + raise AssertionError(f"fused R mode cell raw={raw:#x}: {got} != {want}") + if got[5] != initial[5]: + raise AssertionError(f"fused R mode cell dirty changed raw={raw:#x}") + if got[6] != 0: + raise AssertionError(f"fused R mode cell clean temp changed raw={raw:#x}") + apply_circuit(fused, got, 1, inverse=True) + if got != initial: + raise AssertionError(f"fused R mode cell reverse raw={raw:#x}") + print( + "PASS r_fused_mode_cell states=64 executed_t=6 dirty=restored " + "temp=zero reverse=exact phase=discharged" + ) + + +def check_r_fused_one_cell_equivalence() -> None: + """Exhaust the old four-pass and fused two-pass maps on valid controls.""" + from qiskit import QuantumCircuit, QuantumRegister + + q = QuantumRegister(9, "q") + ctrl, phase2, phase1, sign, addend, target, carry, dirty, clean = q + + old = QuantumCircuit(q) + eea._apply_cell_borrowed(old, "sub", "first", ctrl, addend, target, carry, dirty) + eea._apply_cell_borrowed(old, "sub", "second", ctrl, addend, target, carry, dirty) + old.ccx(ctrl, phase2, sign) + old.x(phase1) + eea._borrowed_c3x(old, phase1, phase2, sign, ctrl, dirty) + old.x(phase1) + eea._apply_cell_borrowed(old, "add", "first", ctrl, addend, target, carry, dirty) + eea._apply_cell_borrowed(old, "add", "second", ctrl, addend, target, carry, dirty) + old.x(phase1) + eea._borrowed_c3x(old, phase1, phase2, sign, ctrl, dirty) + old.x(phase1) + + fused = QuantumCircuit(q) + eea._apply_cell_clean_hmr( + fused, "sub", "first", ctrl, addend, target, carry, clean, + ) + fused.ccx(ctrl, phase2, sign) + fused.x(phase1) + fused.ccx(phase2, sign, phase1) + eea._apply_r_fused_second_cell_clean_hmr( + fused, mode=phase1, ctrl=ctrl, addend=addend, + target=target, carry=carry, clean_temp=clean, + ) + fused.ccx(phase2, sign, phase1) + fused.x(phase1) + + tested = 0 + for raw in range(1 << 8): + initial = [(raw >> bit) & 1 for bit in range(8)] + [0] + c, p2, p1, s = initial[:4] + valid_control = ( + (c == 1 and p1 == 0) + or (c == 0 and p1 == 1) + or (c == 0 and p1 == 0 and p2 == 0 and s == 0) + ) + if not valid_control: + continue + got = initial.copy() + want = initial.copy() + apply_circuit(fused, got, 1, inverse=False) + apply_circuit(old, want, 1, inverse=False) + if got != want: + raise AssertionError( + f"fused R one-cell equivalence raw={raw:#x}: {got} != {want}" + ) + if got[7] != initial[7]: + raise AssertionError(f"fused R one-cell dirty changed raw={raw:#x}") + if got[8] != 0: + raise AssertionError(f"fused R one-cell clean temp changed raw={raw:#x}") + apply_circuit(fused, got, 1, inverse=True) + if got != initial: + raise AssertionError(f"fused R one-cell reverse raw={raw:#x}") + tested += 1 + print( + f"PASS r_fused_one_cell_equivalence states={tested} " + "old_four_pass=fused_two_pass dirty=restored temp=zero " + "reverse=exact phase=discharged" + ) + + +def check_dirty_mcx_ladder() -> None: + from qiskit import QuantumCircuit, QuantumRegister + + control_count = 9 + dirty_count = control_count - 2 + controls = QuantumRegister(control_count, "controls") + target = QuantumRegister(1, "target") + dirty = QuantumRegister(dirty_count, "dirty") + qc = QuantumCircuit(controls, target, dirty) + eea._mcx_dirty_ladder(qc, controls, target[0], dirty) + counts = eea._e.count_circuit_ops_recursive(qc) + if counts != {"ccx": 4 * control_count - 8}: + raise AssertionError(f"dirty MCX primitive count: {counts}") + + width = qc.num_qubits + states = 1 << width + + def lane_pattern(bit: int) -> int: + span = 1 << bit + period = span << 1 + repeats = ((1 << states) - 1) // ((1 << period) - 1) + return repeats * ((1 << span) - 1) << span + + lanes = [lane_pattern(bit) for bit in range(width)] + initial = lanes.copy() + apply_circuit(qc, lanes, (1 << states) - 1, inverse=False) + predicate = initial[0] + for lane in initial[1:control_count]: + predicate &= lane + expected_target = initial[control_count] ^ predicate + if lanes[control_count] != expected_target: + raise AssertionError("dirty MCX target truth table") + if lanes[:control_count] != initial[:control_count]: + raise AssertionError("dirty MCX controls changed") + if lanes[control_count + 1:] != initial[control_count + 1:]: + raise AssertionError("dirty MCX lenders changed") + apply_circuit(qc, lanes, (1 << states) - 1, inverse=True) + if lanes != initial: + raise AssertionError("dirty MCX inverse") + print( + f"PASS dirty_mcx controls={control_count} lenders={dirty_count} " + f"states={states} ccx={counts['ccx']} reverse=exact phase=none" + ) + + +def check_mod259() -> None: + from qiskit import QuantumCircuit, QuantumRegister + ctrl = QuantumRegister(1, "ctrl") + reg = QuantumRegister(eea.LS_WIDTH, "reg") + scratch = QuantumRegister(eea.LS_WIDTH - 1, "scratch") + inc = QuantumCircuit(ctrl, reg, scratch) + eea.inc_mod259_1ctrl(inc, ctrl[0], reg, scratch) + dec = QuantumCircuit(ctrl, reg, scratch) + eea.dec_mod259_1ctrl(dec, ctrl[0], reg, scratch) + for c in (0, 1): + for value in range(1 << eea.LS_WIDTH): + lanes = [c] + [(value >> bit) & 1 for bit in range(eea.LS_WIDTH)] + [0] * len(scratch) + initial = lanes.copy() + apply_circuit(inc, lanes, 1, inverse=False) + got = sum(lanes[1 + bit] << bit for bit in range(eea.LS_WIDTH)) + expected = value if not c else ((value + 1) % eea.LS_MODULUS if value < eea.LS_MODULUS else None) + if expected is not None and got != expected: + raise AssertionError(f"mod259 inc {value}->{got}, expected {expected}") + if any(lanes[1 + eea.LS_WIDTH:]): + raise AssertionError("mod259 inc scratch") + apply_circuit(dec, lanes, 1, inverse=False) + if lanes != initial: + raise AssertionError(f"mod259 inverse value={value} ctrl={c}") + print("PASS mod259 valid=259 invalid=253 global_inverse=512x2") + + +def _basis_case_lanes(qc, cases: list[dict[str, int]]) -> tuple[list[int], int]: + all_cases = (1 << len(cases)) - 1 + lanes = [0] * qc.num_qubits + for case_index, values in enumerate(cases): + case_mask = 1 << case_index + for name, value in values.items(): + reg = test._get_qreg(qc, name) + for bit, qubit in enumerate(reg): + if (value >> bit) & 1: + lanes[test._qindex(qc, qubit)] |= case_mask + return lanes, all_cases + + +def check_midtail_range_scan() -> None: + from qiskit import QuantumCircuit, QuantumRegister + + cases = [ + {"Ctrl": ctrl, "Boundary": boundary} + for ctrl in (0, 1) + for boundary in range(259) + ] + for order in ("inc", "dec"): + ctrl = QuantumRegister(1, "Ctrl") + boundary = QuantumRegister(eea.LS_WIDTH, "Boundary") + range_acc = QuantumRegister(1, "RangeAcc") + path = QuantumRegister(8, "Path") + output = QuantumRegister(259, "Output") + qc = QuantumCircuit(ctrl, boundary, range_acc, path, output) + + def leaf(label, boundary_control, _clean_temp) -> None: + qc.cx(boundary_control, output[label]) + + eea._range_scan_259_nine( + qc, boundary=boundary, ctrl=ctrl[0], range_acc=range_acc[0], + path=path, leaf_fn=leaf, order=order, + ) + lanes, all_cases = _basis_case_lanes(qc, cases) + initial = lanes.copy() + apply_circuit(qc, lanes, all_cases, inverse=False) + for label, qubit in enumerate(output): + expected = 0 + for case_index, case in enumerate(cases): + if case["Ctrl"] and label <= case["Boundary"]: + expected |= 1 << case_index + if lanes[test._qindex(qc, qubit)] != expected: + raise AssertionError(f"midtail range {order} label={label}") + if lanes[test._qindex(qc, range_acc[0])] != 0: + raise AssertionError(f"midtail range {order} accumulator") + if any(lanes[test._qindex(qc, qubit)] for qubit in path): + raise AssertionError(f"midtail range {order} path") + apply_circuit(qc, lanes, all_cases, inverse=True) + if lanes != initial: + raise AssertionError(f"midtail range {order} inverse") + print("PASS midtail_range_scan valid_boundaries=259 controls=2 orders=2 phase=clean") + + +def check_midtail_upper_zero_map() -> None: + from qiskit import QuantumCircuit, QuantumRegister + + ctrl = QuantumRegister(1, "Ctrl") + boundary = QuantumRegister(eea.LS_WIDTH, "Boundary") + bits = QuantumRegister(259, "Bits") + dirty = QuantumRegister(259, "Dirty") + scratch = QuantumRegister(9, "Scratch") + qc = QuantumCircuit(ctrl, boundary, bits, dirty, scratch) + eea._upper_zero_map_midpoint_nine( + qc, ctrl=ctrl[0], boundary_B=boundary, bits=bits, + dirty_map=dirty, scratch=scratch, + ) + + mask = (1 << 259) - 1 + boundaries = (0, 1, 127, 128, 255, 256, 257, 258) + cases = [] + for case_index, boundary_value in enumerate(boundaries): + for control in (0, 1): + seed = (case_index + 1) * 0x9E3779B97F4A7C15 + control + data = (seed * 0xD1342543DE82EF95) & mask + data ^= ((1 << 259) - 1) // 3 + dirty_value = (seed * 0x94D049BB133111EB) & mask + cases.append({ + "Ctrl": control, + "Boundary": boundary_value, + "Bits": data, + "Dirty": dirty_value, + }) + lanes, all_cases = _basis_case_lanes(qc, cases) + initial = lanes.copy() + apply_circuit(qc, lanes, all_cases, inverse=False) + for case_index, case in enumerate(cases): + suffix = 1 + expected = case["Dirty"] + for label in range(258, -1, -1): + data_bit = (case["Bits"] >> label) & 1 + in_range = case["Ctrl"] and label <= case["Boundary"] + suffix &= 1 ^ (in_range & data_bit) + if suffix: + expected ^= 1 << label + got = sum( + ((lanes[test._qindex(qc, qubit)] >> case_index) & 1) << bit + for bit, qubit in enumerate(dirty) + ) + if got != expected: + raise AssertionError( + f"midtail upper map case={case_index} B={case['Boundary']}" + ) + if any(lanes[test._qindex(qc, qubit)] for qubit in scratch): + raise AssertionError("midtail upper map scratch") + apply_circuit(qc, lanes, all_cases, inverse=False) + if lanes != initial: + raise AssertionError("midtail upper map involution") + print( + "PASS midtail_upper_zero_map cases=16 dirty=arbitrary " + "scratch=clean involution=exact phase=clean" + ) + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--quick", action="store_true") + args = parser.parse_args() + check_borrowed_c3x() + check_clean_c3x_mbu() + check_kg_equality_clean_hmr() + check_r_fused_mode_cell() + check_r_fused_one_cell_equivalence() + check_dirty_mcx_ladder() + check_mod259() + check_midtail_range_scan() + check_midtail_upper_zero_map() + cases = [ + ("midtail-counterexample", MIDTAIL_COUNTEREXAMPLE, 7, 0x155), + ("half-prime-lrp", P // 2, 8, 0x155), + ("w1500-lrp", WITNESS_1500, 240, 0x2AA), + ("w1500-r", WITNESS_1500, 1389, 0x3A5), + ("w1500-swap", WITNESS_1500, 1470, 0x17C), + ("w1524-lt", WITNESS_1524, 1472, 0x2D3), + ("w1524-terminal", WITNESS_1524, 1524, 0x0F3), + ("x1-pad258", 1, 1282, 0x3FF), + ("x1-pad259", 1, 1283, 0x001), + ("x1-pad260", 1, 1284, 0x2A6), + ("x1-pad518", 1, 1542, 0x199), + ("x1-pad519", 1, 1543, 0x266), + ("x1-pad592", 1, 1616, 0x155), + ] + if args.quick: + cases = [cases[0], cases[2], cases[5], cases[7], cases[-1]] + for case in cases: + check_step(*case) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_probe_output.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_probe_output.py new file mode 100644 index 00000000..217cf5e8 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_probe_output.py @@ -0,0 +1,73 @@ +#!/usr/bin/env python3 +"""Validate the independent bit-sliced serialized-stream probe output.""" + +from __future__ import annotations + +import argparse +from pathlib import Path +import re + + +P = 2**256 - 2**32 - 977 +SCHEDULE_STEPS = 1616 +TRACE = re.compile( + r"x=([0-9a-f]+) iter=([01]) padding=(\d+) work2=([0-9a-f]+)$" +) + + +def exact_steps(x: int) -> int: + x = min(x, P - x) + cost = 0 + previous = P + while x: + quotient, remainder = divmod(previous, x) + cost += quotient.bit_length() + previous, x = x, remainder + return 4 * cost + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("output", type=Path) + args = parser.parse_args() + + traces = [] + reverse_pass = False + for raw_line in args.output.read_text(encoding="utf-8").splitlines(): + line = raw_line.strip() + match = TRACE.fullmatch(line) + if match: + traces.append(match.groups()) + elif line == "PASS cases=9 forward_reverse=exact": + reverse_pass = True + elif line: + raise AssertionError(f"unexpected probe output: {line}") + + if len(traces) != 9 or not reverse_pass: + raise AssertionError( + f"incomplete probe: traces={len(traces)} reverse_pass={reverse_pass}" + ) + for x_hex, iteration_text, padding_text, work2_hex in traces: + x = int(x_hex, 16) + iteration = int(iteration_text) + padding = int(padding_text) + work2 = int(work2_hex, 16) + if work2 >> 256: + raise AssertionError(f"x={x_hex}: nonzero terminal padding lanes") + inverse = work2 if iteration else (P - work2) % P + expected_inverse = pow(x, -1, P) + if inverse != expected_inverse: + raise AssertionError( + f"x={x_hex}: inverse={hex(inverse)} expected={hex(expected_inverse)}" + ) + expected_padding = SCHEDULE_STEPS - exact_steps(x) + if padding != expected_padding: + raise AssertionError( + f"x={x_hex}: padding={padding} expected={expected_padding}" + ) + + print(f"PASS traces={len(traces)} inverses=exact padding=exact reverse=exact") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_q814_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q814_stream.py new file mode 100644 index 00000000..558adf2e --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q814_stream.py @@ -0,0 +1,14 @@ +#!/usr/bin/env python3 +"""Verify and aggregate certified Q814 Aux2 paper2607 primitive shards.""" + +from __future__ import annotations + +import verify_q818_stream as q817_verifier + + +q817_verifier.verifier.LOCAL_WIDTH = 568 +q817_verifier.verifier.AUX_SIZE = 2 + + +if __name__ == "__main__": + q817_verifier.verifier.main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_q816_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q816_stream.py new file mode 100644 index 00000000..e19e5c67 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q816_stream.py @@ -0,0 +1,14 @@ +#!/usr/bin/env python3 +"""Verify and aggregate certified Q816 Aux4 paper2607 primitive shards.""" + +from __future__ import annotations + +import verify_q818_stream as q817_verifier + + +q817_verifier.verifier.LOCAL_WIDTH = 570 +q817_verifier.verifier.AUX_SIZE = 4 + + +if __name__ == "__main__": + q817_verifier.verifier.main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_q818_aux6_reductions.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q818_aux6_reductions.py new file mode 100644 index 00000000..970beede --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q818_aux6_reductions.py @@ -0,0 +1,533 @@ +#!/usr/bin/env python3 +"""Differential basis-state checks for the Q817 five-clean-aux route.""" + +from __future__ import annotations + +import argparse +from collections import Counter +import hashlib +import json +from pathlib import Path +import random +import sys +import time + +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE)) + +import verify_aux11_reductions as diff + + +LOGICAL_STEP_REGISTERS = ( + "Phase1", + "Phase2", + "Iter", + "Sign", + "Work1", + "Work2", + "l_t", + "l_q", + "l_s", + "l_rp", + "DirtyPassenger", +) + + +def check_tadd_null_schedule(candidate) -> None: + null_steps = [ + step + for step, row in enumerate(candidate._CERTIFIED_WINDOW_ROWS, start=1) + if row["t_addsub"] is None + ] + if null_steps != [1, 2, 3, 4]: + raise AssertionError(f"unexpected t_addsub null steps: {null_steps}") + print("PASS certified t_addsub null steps=1,2,3,4", flush=True) + + +def random_register(circuit, name: str, cases: int, rng: random.Random) -> list[int]: + return diff.random_words(len(diff.qreg(circuit, name)), cases, rng) + + +def compare_gate( + label: str, + old, + new, + *, + common: dict[str, list[int]], + old_private: dict[str, list[int]] | None = None, + new_private: dict[str, list[int]] | None = None, +) -> None: + old_private = old_private or {} + new_private = new_private or {} + old_state = [0] * old.num_qubits + new_state = [0] * new.num_qubits + for name, values in common.items(): + diff.set_register(old, old_state, name, values) + diff.set_register(new, new_state, name, values) + for name, values in old_private.items(): + diff.set_register(old, old_state, name, values) + for name, values in new_private.items(): + diff.set_register(new, new_state, name, values) + old_initial = old_state.copy() + new_initial = new_state.copy() + case_mask = 0 + for values in list(common.values()) + list(old_private.values()) + list(new_private.values()): + for value in values: + case_mask |= value + case_mask = (1 << max(1, case_mask.bit_length())) - 1 + + diff.apply(old, old_state, case_mask) + diff.apply(new, new_state, case_mask) + for name in common: + got = diff.get_register(new, new_state, name) + want = diff.get_register(old, old_state, name) + if got != want: + raise AssertionError(f"{label}: {name} differs") + for name in old_private: + if diff.get_register(old, old_state, name) != diff.get_register( + old, old_initial, name + ): + raise AssertionError(f"{label}: old {name} not restored") + for name in new_private: + if diff.get_register(new, new_state, name) != diff.get_register( + new, new_initial, name + ): + raise AssertionError(f"{label}: new {name} not restored") + if any(diff.get_register(old, old_state, "Scratch")): + raise AssertionError(f"{label}: old Scratch not clean") + if any(diff.get_register(new, new_state, "Scratch")): + raise AssertionError(f"{label}: new Scratch not clean") + + diff.apply(old, old_state, case_mask, inverse=True) + diff.apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial: + raise AssertionError(f"{label}: old reverse mismatch") + if new_state != new_initial: + raise AssertionError(f"{label}: new reverse mismatch") + print(f"PASS {label} reverse=exact", flush=True) + + +def compare_gate_positional( + label: str, + old, + new, + *, + cases: int, + common_fields: list[tuple[str, int]], + common: dict[str, list[int]], + old_private_fields: list[tuple[str, int]] | None = None, + new_private_fields: list[tuple[str, int]] | None = None, + old_private: dict[str, list[int]] | None = None, + new_private: dict[str, list[int]] | None = None, +) -> None: + old_private_fields = old_private_fields or [] + new_private_fields = new_private_fields or [] + old_private = old_private or {} + new_private = new_private or {} + old_prefix = common_fields + old_private_fields + new_prefix = common_fields + new_private_fields + old_scratch = old.num_qubits - sum(width for _, width in old_prefix) + new_scratch = new.num_qubits - sum(width for _, width in new_prefix) + if old_scratch < 0 or new_scratch < 0: + raise AssertionError(f"{label}: invalid positional layout") + old_layout = diff.positional_layout(old_prefix + [("Scratch", old_scratch)]) + new_layout = diff.positional_layout(new_prefix + [("Scratch", new_scratch)]) + old_state = [0] * old.num_qubits + new_state = [0] * new.num_qubits + for name, values in common.items(): + diff.set_positional(old_state, old_layout, name, values) + diff.set_positional(new_state, new_layout, name, values) + for name, values in old_private.items(): + diff.set_positional(old_state, old_layout, name, values) + for name, values in new_private.items(): + diff.set_positional(new_state, new_layout, name, values) + old_initial, new_initial = old_state.copy(), new_state.copy() + case_mask = (1 << cases) - 1 + diff.apply(old, old_state, case_mask) + diff.apply(new, new_state, case_mask) + for name in common: + if diff.get_positional(old_state, old_layout, name) != diff.get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"{label}: {name} differs") + for name in old_private: + if diff.get_positional(old_state, old_layout, name) != diff.get_positional( + old_initial, old_layout, name + ): + raise AssertionError(f"{label}: old {name} not restored") + for name in new_private: + if diff.get_positional(new_state, new_layout, name) != diff.get_positional( + new_initial, new_layout, name + ): + raise AssertionError(f"{label}: new {name} not restored") + if any(diff.get_positional(old_state, old_layout, "Scratch")): + raise AssertionError(f"{label}: old Scratch not clean") + if any(diff.get_positional(new_state, new_layout, "Scratch")): + raise AssertionError(f"{label}: new Scratch not clean") + diff.apply(old, old_state, case_mask, inverse=True) + diff.apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError(f"{label}: reverse mismatch") + print( + f"PASS {label} scratch={old_scratch}->{new_scratch} reverse=exact", + flush=True, + ) + + +def random_field_values( + fields: list[tuple[str, int]], cases: int, rng: random.Random +) -> dict[str, list[int]]: + return { + name: diff.random_words(width, cases, rng) + for name, width in fields + } + + +def check_live_predicate(original, candidate) -> None: + from qiskit import QuantumCircuit, QuantumRegister + + phase_o = QuantumRegister(1, "Phase1") + lrp_o = QuantumRegister(8, "l_rp") + out_o = QuantumRegister(1, "Out") + scratch_o = QuantumRegister(6, "Scratch") + old = QuantumCircuit(phase_o, lrp_o, out_o, scratch_o) + original._toggle_live_r_phase( + old, phase1=phase_o[0], l_rp=lrp_o, out=out_o[0], scratch=scratch_o, + ) + + phase_n = QuantumRegister(1, "Phase1") + lrp_n = QuantumRegister(8, "l_rp") + out_n = QuantumRegister(1, "Out") + dirty_n = QuantumRegister(10, "DirtyPassenger") + scratch_n = QuantumRegister(1, "Scratch") + new = QuantumCircuit(phase_n, lrp_n, out_n, dirty_n, scratch_n) + candidate._toggle_live_r_phase( + new, phase1=phase_n[0], l_rp=lrp_n, out=out_n[0], dirty=dirty_n, + ) + + cases = 1024 + case_mask = (1 << cases) - 1 + phase = [0] + lrp = [0] * 8 + out = [0] + for case in range(cases): + value = case & 0xFF + if (case >> 8) & 1: + phase[0] |= 1 << case + if (case >> 9) & 1: + out[0] |= 1 << case + for bit in range(8): + if (value >> bit) & 1: + lrp[bit] |= 1 << case + rng = random.Random(0x81811E) + common = {"Phase1": phase, "l_rp": lrp, "Out": out} + old_state = [0] * old.num_qubits + new_state = [0] * new.num_qubits + for name, values in common.items(): + diff.set_register(old, old_state, name, values) + diff.set_register(new, new_state, name, values) + dirty = diff.random_words(10, cases, rng) + diff.set_register(new, new_state, "DirtyPassenger", dirty) + old_initial, new_initial = old_state.copy(), new_state.copy() + diff.apply(old, old_state, case_mask) + diff.apply(new, new_state, case_mask) + for name in common: + if diff.get_register(old, old_state, name) != diff.get_register(new, new_state, name): + raise AssertionError(f"live predicate: {name} differs") + if diff.get_register(new, new_state, "DirtyPassenger") != dirty: + raise AssertionError("live predicate: dirty lenders not restored") + if any(diff.get_register(old, old_state, "Scratch")): + raise AssertionError("live predicate: old Scratch not clean") + diff.apply(old, old_state, case_mask, inverse=True) + diff.apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("live predicate: reverse mismatch") + print("PASS live-predicate cases=1024 dirty=restored reverse=exact", flush=True) + + +def endpoint_cases() -> tuple[list[int], list[int]]: + pairs = [] + pairs.extend((lq, 258) for lq in range(512)) + pairs.extend((0, ls) for ls in range(512)) + rng = random.Random(0x818E0D) + pairs.extend((rng.randrange(512), rng.randrange(512)) for _ in range(1024)) + lq_words = [0] * 9 + ls_words = [0] * 9 + for case, (lq, ls) in enumerate(pairs): + for bit in range(9): + if (lq >> bit) & 1: + lq_words[bit] |= 1 << case + if (ls >> bit) & 1: + ls_words[bit] |= 1 << case + return lq_words, ls_words + + +def check_terminal_endpoint(original, candidate) -> None: + from qiskit import QuantumCircuit, QuantumRegister + + lq_o = QuantumRegister(9, "l_q") + ls_o = QuantumRegister(9, "l_s") + out_o = QuantumRegister(1, "Out") + dirty_o = QuantumRegister(10, "DirtyPassenger") + scratch_o = QuantumRegister(5, "Scratch") + iteration_o = QuantumRegister(1, "Iter") + old = QuantumCircuit(lq_o, ls_o, out_o, dirty_o, scratch_o, iteration_o) + original._toggle_terminal_endpoint_raw( + old, l_q=lq_o, l_s=ls_o, out=out_o[0], dirty=dirty_o, + scratch=scratch_o, extra_lenders=iteration_o, + ) + + lq_n = QuantumRegister(9, "l_q") + ls_n = QuantumRegister(9, "l_s") + out_n = QuantumRegister(1, "Out") + dirty_n = QuantumRegister(10, "DirtyPassenger") + scratch_n = QuantumRegister(4, "Scratch") + iteration_n = QuantumRegister(1, "Iter") + sign_n = QuantumRegister(1, "Sign") + new = QuantumCircuit( + lq_n, ls_n, out_n, dirty_n, scratch_n, iteration_n, sign_n, + ) + candidate._toggle_terminal_endpoint_raw( + new, l_q=lq_n, l_s=ls_n, out=out_n[0], dirty=dirty_n, + scratch=scratch_n, extra_lenders=[iteration_n[0], sign_n[0]], + ) + + lq, ls = endpoint_cases() + cases = 2048 + case_mask = (1 << cases) - 1 + rng = random.Random(0x818E11) + common = { + "l_q": lq, + "l_s": ls, + "Out": diff.random_words(1, cases, rng), + "DirtyPassenger": diff.random_words(10, cases, rng), + } + old_state = [0] * old.num_qubits + new_state = [0] * new.num_qubits + for name, values in common.items(): + diff.set_register(old, old_state, name, values) + diff.set_register(new, new_state, name, values) + iteration = diff.random_words(1, cases, rng) + sign = diff.random_words(1, cases, rng) + diff.set_register(old, old_state, "Iter", iteration) + diff.set_register(new, new_state, "Iter", iteration) + diff.set_register(new, new_state, "Sign", sign) + old_initial, new_initial = old_state.copy(), new_state.copy() + diff.apply(old, old_state, case_mask) + diff.apply(new, new_state, case_mask) + for name in common: + if diff.get_register(old, old_state, name) != diff.get_register(new, new_state, name): + raise AssertionError(f"terminal endpoint: {name} differs") + if diff.get_register(new, new_state, "Iter") != diff.get_register( + new, new_initial, "Iter" + ): + raise AssertionError("terminal endpoint: Iter lender not restored") + if diff.get_register(new, new_state, "Sign") != sign: + raise AssertionError("terminal endpoint: Sign lender not restored") + if any(diff.get_register(old, old_state, "Scratch")) or any( + diff.get_register(new, new_state, "Scratch") + ): + raise AssertionError("terminal endpoint: Scratch not clean") + diff.apply(old, old_state, case_mask, inverse=True) + diff.apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("terminal endpoint: reverse mismatch") + print("PASS terminal-endpoint cases=2048 lenders=restored reverse=exact", flush=True) + + +def check_lc(original, candidate, cases: int) -> None: + rng = random.Random(0x8181C) + for step in (4, 519, 800, 1200, 1616): + k, upper = candidate.safe_active_windows(256, step)["swap"] + old = original.compact_lc_swap_gate(k=k, K=upper) + new = candidate.compact_lc_swap_gate(k=k, K=upper) + fields = [ + ("Ctrl", 1), ("Direction", 1), ("Sign", 1), + ("Work1", upper - k + 2), ("l_t", 8), ("l_q", 9), + ] + old_dirty = diff.random_words(4, cases, rng) + new_dirty = old_dirty + diff.random_words(1, cases, rng) + compare_gate_positional( + f"lc-swap step={step} window={k}:{upper} cases={cases}", + old, new, cases=cases, common_fields=fields, + common=random_field_values(fields, cases, rng), + old_private_fields=[("DirtyPassenger", 4)], + new_private_fields=[("DirtyPassenger", 5)], + old_private={"DirtyPassenger": old_dirty}, + new_private={"DirtyPassenger": new_dirty}, + ) + + +def check_tsub(original, candidate, cases: int) -> None: + rng = random.Random(0x81875B) + for upper in (1, 130, 200, 257): + kwargs = dict( + k=1, K=upper, mode="sub", sign_update=False, + capture_borrow_sign=False, target="work2", name=f"T_SUB_{upper}", + ) + old = original.compact_prefix_addsub_gate(**kwargs) + new = candidate.compact_prefix_addsub_gate(**kwargs) + fields = [ + ("Ctrl", 1), ("Sign", 1), ("Work1", upper), + ("Work2", upper), ("l_t", 8), + ] + first_three = diff.random_words(3, cases, rng) + compare_gate_positional( + f"t-sub upper={upper} cases={cases}", old, new, cases=cases, + common_fields=fields, common=random_field_values(fields, cases, rng), + old_private_fields=[("Borrowed", 3)], + new_private_fields=[("Borrowed", 4)], + old_private={"Borrowed": first_three}, + new_private={ + "Borrowed": first_three + diff.random_words(1, cases, rng) + }, + ) + + +def check_tadd(original, candidate, cases: int) -> None: + rng = random.Random(0x818ADD) + for upper in (1, 130, 200, 257): + old = original.compact_prefix_add_midtail_gate(n=256, k=1, K=upper) + new = candidate.compact_prefix_add_midtail_gate(n=256, k=1, K=upper) + fields = [ + ("Ctrl", 1), ("Sign", 1), ("Tail", 1), + ("Work1", 259), ("Work2", 259), ("l_t", 8), + ("l_s", 9), ("l_rp", 8), ("DirtyPassenger", 10), + ] + compare_gate_positional( + f"t-add upper={upper} cases={cases}", old, new, cases=cases, + common_fields=fields, common=random_field_values(fields, cases, rng), + ) + + +def check_terminal_lengths(original, candidate, cases: int) -> None: + rng = random.Random(0x8187E2) + for step in (1024, 1200, 1400, 1524, 1600): + windows = candidate.safe_active_windows(256, step) + k4, upper4 = windows["len_update_lt"] + k5, upper5 = windows["len_update_lrp"] + old = original.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=upper4, k5=k5, K5=upper5, + ) + new = candidate.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=upper4, k5=k5, K5=upper5, + ) + fields = [ + ("Ctrl", 1), ("Work1", 259), ("Work2", 259), + ("l_t", 8), ("l_rp", 8), ("DirtyPassenger", 8), + ("Extension", 1), + ] + compare_gate_positional( + f"terminal-lengths step={step} windows={k4}:{upper4}/{k5}:{upper5} cases={cases}", + old, new, cases=cases, common_fields=fields, + common=random_field_values(fields, cases, rng), + ) + + +def check_step_one(original, candidate, cases: int) -> None: + rng = random.Random(0x81757E9) + case_mask = (1 << cases) - 1 + old = original.build_step_circuit( + 256, 1, T_max=1616, aux_size=6, measurement_uncompute=False, + ) + new = candidate.build_step_circuit( + 256, 1, T_max=1616, aux_size=5, measurement_uncompute=False, + ) + values = { + "Phase1": [0], + "Phase2": [0], + "Iter": diff.random_words(1, cases, rng), + "Sign": [0], + "Work1": diff.random_words(259, cases, rng), + "Work2": diff.random_words(259, cases, rng), + "l_t": diff.constant_word(0, 8, case_mask), + "l_q": diff.constant_word((1 << 9) - 1, 9, case_mask), + "l_s": diff.constant_word(258, 9, case_mask), + "l_rp": diff.constant_word(254, 8, case_mask), + "DirtyPassenger": diff.random_words(10, cases, rng), + } + old_state = [0] * old.num_qubits + new_state = [0] * new.num_qubits + for name, lanes in values.items(): + diff.set_register(old, old_state, name, lanes) + diff.set_register(new, new_state, name, lanes) + old_initial, new_initial = old_state.copy(), new_state.copy() + diff.apply(old, old_state, case_mask) + diff.apply(new, new_state, case_mask) + for name in LOGICAL_STEP_REGISTERS: + if diff.get_register(old, old_state, name) != diff.get_register(new, new_state, name): + raise AssertionError(f"step 1: {name} differs") + if any(diff.get_register(old, old_state, "Aux")) or any( + diff.get_register(new, new_state, "Aux") + ): + raise AssertionError("step 1: Aux not clean") + diff.apply(old, old_state, case_mask, inverse=True) + diff.apply(new, new_state, case_mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("step 1: reverse mismatch") + print(f"PASS full-step step=1 cases={cases} reverse=exact", flush=True) + + +def check_all_construct(candidate) -> None: + started = time.monotonic() + widths: dict[int, int] = {} + counts: Counter[str] = Counter() + for step in range(1, 1617): + circuit = candidate.build_step_circuit( + 256, step, T_max=1616, aux_size=5, measurement_uncompute=False, + ) + widths[circuit.num_qubits] = widths.get(circuit.num_qubits, 0) + 1 + counts.update(candidate.count_circuit_ops_recursive(circuit)) + if step % 100 == 0: + print( + f"COUNT step={step} elapsed={time.monotonic() - started:.1f}s", + flush=True, + ) + if widths != {571: 1616}: + raise AssertionError(f"schedule widths: {widths}") + records = sum(counts.values()) + executed_toffoli = counts["ccx"] + 2 * counts["clean_c3x_mbu"] + source_path = Path(candidate.__file__).resolve() + receipt = { + "schema": "paper2607-q817-aux5-schedule-count-v1", + "source": str(source_path), + "source_sha256": hashlib.sha256(source_path.read_bytes()).hexdigest(), + "steps": 1616, + "local_width": 571, + "clean_aux": 5, + "primitive_counts_per_traversal": dict(sorted(counts.items())), + "records_per_traversal": records, + "executed_toffoli_per_traversal": executed_toffoli, + "four_traversal_records": 4 * records, + "four_traversal_executed_toffoli": 4 * executed_toffoli, + "elapsed_seconds": round(time.monotonic() - started, 3), + } + print(json.dumps(receipt, indent=2, sort_keys=True), flush=True) + print("PASS all-steps constructed=1616 local_width=571 clean_aux=5", flush=True) + + +def main() -> None: + parser = argparse.ArgumentParser() + parser.add_argument("--original", type=Path, required=True) + parser.add_argument("--candidate", type=Path, required=True) + parser.add_argument("--cases", type=int, default=32) + parser.add_argument("--construct-all", action="store_true") + args = parser.parse_args() + if not 1 <= args.cases <= 128: + raise SystemExit("--cases must be in 1..128") + original = diff.load_module("paper2607_q818_reference", args.original.resolve()) + candidate = diff.load_module("paper2607_q817_candidate", args.candidate.resolve()) + check_tadd_null_schedule(candidate) + check_terminal_endpoint(original, candidate) + check_lc(original, candidate, args.cases) + check_tsub(original, candidate, args.cases) + check_tadd(original, candidate, args.cases) + check_terminal_lengths(original, candidate, args.cases) + check_step_one(original, candidate, args.cases) + if args.construct_all: + check_all_construct(candidate) + print("PASS Q817 Aux5 differential suite", flush=True) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_q818_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q818_stream.py new file mode 100644 index 00000000..67746405 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q818_stream.py @@ -0,0 +1,112 @@ +#!/usr/bin/env python3 +"""Verify and aggregate certified Q817 Aux5 paper2607 primitive shards.""" + +from __future__ import annotations + +from collections import Counter +import hashlib +import json +from pathlib import Path +import struct + +import zstandard as zstd + +import verify_q819_stream as verifier + + +verifier.LOCAL_WIDTH = 571 +verifier.AUX_SIZE = 5 + + +def verify_chunk(path: Path, expected_start: int) -> tuple[dict[str, object], int]: + """Verify one shard using Python zstandard, including on Windows.""" + match = verifier.NAME.fullmatch(path.name) + if match is None: + raise AssertionError(f"unexpected chunk name: {path.name}") + name_start, name_end = map(int, match.groups()) + report_path = path.with_suffix(path.suffix + ".json") + report = json.loads(report_path.read_text(encoding="utf-8")) + + with path.open("rb") as compressed: + with zstd.ZstdDecompressor().stream_reader(compressed) as stream: + header = verifier.read_exact(stream, 24) + if header[:8] != verifier.MAGIC: + raise AssertionError(f"{path.name}: wrong magic") + field_width, local_width, start, end = struct.unpack(" list[int]: + lanes = [0] * width + for case, value in enumerate(values): + for bit in range(width): + lanes[bit] |= ((value >> bit) & 1) << case + return lanes + + +def build(*, roundtrip: bool) -> QuantumCircuit: + phase1 = QuantumRegister(1, "Phase1") + phase2 = QuantumRegister(1, "Phase2") + iteration = QuantumRegister(1, "Iter") + l_q = QuantumRegister(9, "l_q") + dirty = QuantumRegister(10, "DirtyPassenger") + qc = QuantumCircuit(phase1, phase2, iteration, l_q, dirty) + candidate._borrow_phase2_for_tadd( + qc, phase1=phase1[0], phase2=phase2[0], l_q=l_q, dirty=dirty, + ) + candidate._borrow_iter_for_tadd( + qc, phase1=phase1[0], iteration=iteration[0], l_q=l_q, dirty=dirty, + ) + if roundtrip: + candidate._borrow_iter_for_tadd( + qc, phase1=phase1[0], iteration=iteration[0], l_q=l_q, + dirty=dirty, inverse=True, + ) + candidate._borrow_phase2_for_tadd( + qc, phase1=phase1[0], phase2=phase2[0], l_q=l_q, + dirty=dirty, inverse=True, + ) + return qc + + +def main() -> None: + logical = [(0, 0, 511)] + logical += [(0, 1, l_q) for l_q in range(255)] + logical += [(1, 0, l_q) for l_q in list(range(254)) + [511]] + logical += [(1, 1, 511)] + cases = [(p1, p2, iteration, l_q) for p1, p2, l_q in logical for iteration in (0, 1)] + mask = (1 << len(cases)) - 1 + rng = random.Random(0x81817E12) + dirty = diff.random_words(10, len(cases), rng) + values = { + "Phase1": words([row[0] for row in cases], 1), + "Phase2": words([row[1] for row in cases], 1), + "Iter": words([row[2] for row in cases], 1), + "l_q": words([row[3] for row in cases], 9), + "DirtyPassenger": dirty, + } + + forward = build(roundtrip=False) + state = [0] * forward.num_qubits + for name, lanes in values.items(): + diff.set_register(forward, state, name, lanes) + diff.apply(forward, state, mask) + if diff.get_register(forward, state, "Phase2") != [0]: + raise AssertionError("concrete Phase2 not clean") + if diff.get_register(forward, state, "Iter") != [0]: + raise AssertionError("concrete Iter not clean") + if diff.get_register(forward, state, "DirtyPassenger") != dirty: + raise AssertionError("concrete dirty lenders not restored") + expected_lq = [model.forward(*row)[2] for row in cases] + if diff.get_register(forward, state, "l_q") != words(expected_lq, 9): + raise AssertionError("concrete l_q differs from model") + + roundtrip = build(roundtrip=True) + state = [0] * roundtrip.num_qubits + for name, lanes in values.items(): + diff.set_register(roundtrip, state, name, lanes) + initial = state.copy() + diff.apply(roundtrip, state, mask) + if state != initial: + raise AssertionError("concrete loan roundtrip mismatch") + print( + f"PASS concrete-q818-tadd-iter-loan cases={len(cases)} " + "phase2=clean iter=clean dirty=restored model=exact roundtrip=exact" + ) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_q819_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q819_stream.py new file mode 100644 index 00000000..a86b577b --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q819_stream.py @@ -0,0 +1,183 @@ +#!/usr/bin/env python3 +"""Verify and aggregate certified Q819 Aux7 paper2607 primitive shards.""" + +from __future__ import annotations + +import argparse +from collections import Counter +import hashlib +import json +from pathlib import Path +import re +import struct +import subprocess + + +MAGIC = b"P26EEA2\0" +FIELD_WIDTH = 256 +LOCAL_WIDTH = 573 +SCHEDULE_STEPS = 1616 +SOURCE_MODULE = "eea_circuit_s835_exactwidth_dirty12" +AUX_SIZE = 7 +NAME = re.compile(r"chunk-(\d{4})-(\d{4})\.zst$") + + +def read_exact(stream, size: int) -> bytes: + value = stream.read(size) + if len(value) != size: + raise AssertionError(f"truncated stream: wanted {size}, got {len(value)}") + return value + + +def verify_chunk(path: Path, expected_start: int) -> tuple[dict[str, object], int]: + match = NAME.fullmatch(path.name) + if match is None: + raise AssertionError(f"unexpected chunk name: {path.name}") + name_start, name_end = map(int, match.groups()) + report_path = path.with_suffix(path.suffix + ".json") + report = json.loads(report_path.read_text(encoding="utf-8")) + + process = subprocess.Popen( + ["zstd", "-q", "-dc", str(path)], + stdout=subprocess.PIPE, + ) + assert process.stdout is not None + header = read_exact(process.stdout, 24) + if header[:8] != MAGIC: + raise AssertionError(f"{path.name}: wrong magic") + field_width, local_width, start, end = struct.unpack(" None: + parser = argparse.ArgumentParser() + parser.add_argument( + "--directory", + type=Path, + default=Path(__file__).resolve().parent, + ) + parser.add_argument("--out", type=Path) + args = parser.parse_args() + + paths = sorted(args.directory.glob("chunk-*.zst")) + expected_start = 1 + reports = [] + totals: Counter[str] = Counter() + for path in paths: + report, expected_start = verify_chunk(path, expected_start) + reports.append(report) + totals["records"] += int(report["records"]) + for kind, count in report["counts"].items(): + totals[kind] += int(count) + + if expected_start != SCHEDULE_STEPS + 1: + raise AssertionError( + f"incomplete schedule: next step {expected_start}, expected {SCHEDULE_STEPS + 1}" + ) + if len(reports) != 36: + raise AssertionError(f"wrong chunk count: {len(reports)}") + + kind7 = totals["clean_c3x_mbu"] + aggregate = { + "schema": "paper2607-eea-primitive-stream-aggregate-v1", + "field_width": FIELD_WIDTH, + "local_width": LOCAL_WIDTH, + "source_module": SOURCE_MODULE, + "aux_size": AUX_SIZE, + "schedule_steps": SCHEDULE_STEPS, + "chunk_count": len(reports), + "records_per_traversal": totals["records"], + "emitted_ops_per_traversal": totals["records"] + 3 * kind7, + "executed_toffoli_per_traversal": totals["ccx"] + 2 * kind7, + "four_traversal_emitted_ops": 4 * (totals["records"] + 3 * kind7), + "four_traversal_executed_toffoli": 4 * (totals["ccx"] + 2 * kind7), + "primitive_counts": { + key: totals[key] + for key in ("x", "cx", "ccx", "clean_c3x_mbu") + }, + "chunks": [ + { + key: report[key] + for key in ( + "file", + "step_start", + "step_end", + "records", + "raw_record_sha256", + "compressed_bytes", + "compressed_sha256", + ) + } + for report in reports + ], + } + encoded = json.dumps(aggregate, indent=2, sort_keys=True) + "\n" + if args.out is not None: + args.out.write_text(encoded, encoding="utf-8") + print(encoded, end="") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_q820_aux8.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q820_aux8.py new file mode 100644 index 00000000..d490bc86 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q820_aux8.py @@ -0,0 +1,362 @@ +#!/usr/bin/env python3 +"""Differential checks for the Q820 Aux8 dirty-lender prototype.""" + +from __future__ import annotations + +import argparse +from pathlib import Path +import random + +import verify_aux11_reductions as verify + + +def words_from_values(values, width): + lanes = [0] * width + for case, value in enumerate(values): + if not 0 <= value < (1 << width): + raise ValueError((value, width)) + for bit in range(width): + if (value >> bit) & 1: + lanes[bit] |= 1 << case + return lanes + + +def compare_pair( + *, + label, + old_gate, + new_gate, + old_fields, + new_fields, + common_values, + old_clean, + new_clean, + new_dirty=None, + cases=64, +): + mask = (1 << cases) - 1 + old_layout = verify.positional_layout(old_fields) + new_layout = verify.positional_layout(new_fields) + old_state, new_state = verify.initialize_positional( + old_gate, new_gate, old_layout, new_layout, common_values + ) + rng = random.Random(0x820000 + sum(ord(c) for c in label)) + dirty_initial = {} + for name in new_dirty or (): + values = verify.random_words(len(new_layout[name]), cases, rng) + verify.set_positional(new_state, new_layout, name, values) + dirty_initial[name] = values + old_initial = old_state.copy() + new_initial = new_state.copy() + + verify.apply(old_gate, old_state, mask) + verify.apply(new_gate, new_state, mask) + for name in common_values: + if verify.get_positional(old_state, old_layout, name) != verify.get_positional( + new_state, new_layout, name + ): + raise AssertionError(f"{label}: differing {name}") + for name in old_clean: + if any(verify.get_positional(old_state, old_layout, name)): + raise AssertionError(f"{label}: old {name} not clean") + for name in new_clean: + if any(verify.get_positional(new_state, new_layout, name)): + raise AssertionError(f"{label}: new {name} not clean") + for name, values in dirty_initial.items(): + if verify.get_positional(new_state, new_layout, name) != values: + raise AssertionError(f"{label}: new {name} not restored") + + verify.apply(old_gate, old_state, mask, inverse=True) + verify.apply(new_gate, new_state, mask, inverse=True) + if old_state != old_initial: + raise AssertionError(f"{label}: old inverse mismatch") + if new_state != new_initial: + raise AssertionError(f"{label}: new inverse mismatch") + print( + f"PASS {label} old_qubits={old_gate.num_qubits} " + f"new_qubits={new_gate.num_qubits}", + flush=True, + ) + + +def mod259_gate(module, *, dirty): + ctrl = module.QuantumRegister(1, "Ctrl") + reg = module.QuantumRegister(9, "Reg") + if dirty: + lenders = module.QuantumRegister(10, "Dirty") + circuit = module.QuantumCircuit(ctrl, reg, lenders) + module.inc_mod259_1ctrl_dirty(circuit, ctrl[0], reg, lenders) + else: + scratch = module.QuantumRegister(8, "Scratch") + circuit = module.QuantumCircuit(ctrl, reg, scratch) + module.inc_mod259_1ctrl(circuit, ctrl[0], reg, scratch) + return module._e._finalize_block(circuit) + + +def check_mod259(old, new): + cases = 1024 + mask = (1 << cases) - 1 + old_gate = mod259_gate(old, dirty=False) + new_gate = mod259_gate(new, dirty=True) + old_layout = verify.positional_layout( + [("Ctrl", 1), ("Reg", 9), ("Scratch", 8)] + ) + new_layout = verify.positional_layout( + [("Ctrl", 1), ("Reg", 9), ("Dirty", 10)] + ) + controls = [0] * 512 + [1] * 512 + values = list(range(512)) + list(range(512)) + old_state = [0] * old_gate.num_qubits + new_state = [0] * new_gate.num_qubits + verify.set_positional(old_state, old_layout, "Ctrl", words_from_values(controls, 1)) + verify.set_positional(new_state, new_layout, "Ctrl", words_from_values(controls, 1)) + reg_words = words_from_values(values, 9) + verify.set_positional(old_state, old_layout, "Reg", reg_words) + verify.set_positional(new_state, new_layout, "Reg", reg_words) + rng = random.Random(0x820259) + dirty = verify.random_words(10, cases, rng) + verify.set_positional(new_state, new_layout, "Dirty", dirty) + old_initial = old_state.copy() + new_initial = new_state.copy() + verify.apply(old_gate, old_state, mask) + verify.apply(new_gate, new_state, mask) + if verify.get_positional(old_state, old_layout, "Reg") != verify.get_positional( + new_state, new_layout, "Reg" + ): + raise AssertionError("mod259 dirty permutation mismatch") + if any(verify.get_positional(old_state, old_layout, "Scratch")): + raise AssertionError("mod259 old scratch not clean") + if verify.get_positional(new_state, new_layout, "Dirty") != dirty: + raise AssertionError("mod259 dirty lenders not restored") + verify.apply(old_gate, old_state, mask, inverse=True) + verify.apply(new_gate, new_state, mask, inverse=True) + if old_state != old_initial or new_state != new_initial: + raise AssertionError("mod259 inverse mismatch") + print("PASS mod259 exhaustive words=512 controls=2 dirty_patterns=1024", flush=True) + + +def random_common(fields, cases, rng): + return { + name: verify.random_words(width, cases, rng) + for name, width in fields + } + + +def check_shift_and_phase(old, new, cases): + rng = random.Random(0x8205A17) + shift_common = [ + ("Phase1", 1), + ("Phase2", 1), + ("Work2", 259), + ("l_s", 9), + ] + values = random_common(shift_common, cases, rng) + for label, old_gate, new_gate in ( + ("pre-shift", old.compact_pre_shift_gate(work_size=259), + new.compact_pre_shift_gate(work_size=259)), + ("post-shift", old.compact_post_shift_gate(work_size=259), + new.compact_post_shift_gate(work_size=259)), + ): + compare_pair( + label=label, + old_gate=old_gate, + new_gate=new_gate, + old_fields=shift_common + [("OldScratch", 9)], + new_fields=shift_common + [("NewDirty", 10), ("NewScratch", 1)], + common_values=values, + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["NewDirty"], + cases=cases, + ) + + phase_common = [ + ("Phase1", 1), + ("Phase2", 1), + ("Sign", 1), + ("l_q", 9), + ("l_rp", 8), + ("l_s", 9), + ("Dirty0", 1), + ] + values = random_common(phase_common, cases, rng) + compare_pair( + label="phase-update", + old_gate=old.compact_phase_update_gate(), + new_gate=new.compact_phase_update_gate(), + old_fields=phase_common + [("OldScratch", 9)], + new_fields=phase_common + [("DirtyExtra", 9), ("NewScratch", 2)], + common_values=values, + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["DirtyExtra"], + cases=cases, + ) + + +def check_arithmetic_blocks(old, new, cases): + rng = random.Random(0x820A817) + k, upper = 1, 17 + width = upper - k + 1 + + r_common = [ + ("Ctrl", 1), ("Phase2", 1), ("Mode", 1), ("Sign", 1), + ("Work1", width), ("Work2", width), ("l_t", 8), ("l_q", 9), + ("l_s", 9), ("Dirty", 10), + ] + compare_pair( + label="R-window-1-17", + old_gate=old.compact_r_subrestore_fused_gate(n=256, k=k, K=upper), + new_gate=new.compact_r_subrestore_fused_gate(n=256, k=k, K=upper), + old_fields=r_common + [("OldScratch", 8)], + new_fields=r_common + [("NewScratch", 2)], + common_values=random_common(r_common, cases, rng), + old_clean=["OldScratch"], + new_clean=["NewScratch"], + cases=cases, + ) + + lc_base = [ + ("Ctrl", 1), ("Direction", 1), ("Sign", 1), ("Work1", width + 1), + ("l_t", 8), ("l_q", 9), ("Dirty0", 1), + ] + compare_pair( + label="LC-window-1-17", + old_gate=old.compact_lc_swap_gate(k=k, K=upper), + new_gate=new.compact_lc_swap_gate(k=k, K=upper), + old_fields=lc_base + [("OldScratch", 9)], + new_fields=lc_base + [("DirtyExtra", 3), ("NewScratch", 8)], + common_values=random_common(lc_base, cases, rng), + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["DirtyExtra"], + cases=cases, + ) + + tsub_base = [ + ("Ctrl", 1), ("Sign", 1), ("Work1", width), ("Work2", width), + ("l_t", 8), ("Borrowed0", 1), + ] + old_tsub = old.compact_prefix_addsub_gate( + k=k, K=upper, mode="sub", sign_update=False, + capture_borrow_sign=False, target="work2", name="OLD_TSUB", + ) + new_tsub = new.compact_prefix_addsub_gate( + k=k, K=upper, mode="sub", sign_update=False, + capture_borrow_sign=False, target="work2", name="NEW_TSUB", + ) + old_scratch = old_tsub.num_qubits - sum(width for _, width in tsub_base) + new_scratch = ( + new_tsub.num_qubits - sum(width for _, width in tsub_base) - 1 + ) + compare_pair( + label="T-sub-window-1-17", + old_gate=old_tsub, + new_gate=new_tsub, + old_fields=tsub_base + [("OldScratch", old_scratch)], + new_fields=tsub_base + [("BorrowedExtra", 1), ("NewScratch", new_scratch)], + common_values=random_common(tsub_base, cases, rng), + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["BorrowedExtra"], + cases=cases, + ) + + tadd_common = [ + ("Ctrl", 1), ("Sign", 1), ("Tail", 1), ("Work1", 259), + ("Work2", 259), ("l_t", 8), ("l_s", 9), ("l_rp", 8), ("Dirty", 10), + ] + tadd_values = random_common(tadd_common, cases, rng) + tadd_values["l_s"] = words_from_values( + [rng.randrange(259) for _ in range(cases)], 9 + ) + compare_pair( + label="T-add-window-1-17", + old_gate=old.compact_prefix_add_midtail_gate(n=256, k=k, K=upper), + new_gate=new.compact_prefix_add_midtail_gate(n=256, k=k, K=upper), + old_fields=tadd_common + [("OldScratch", 8)], + new_fields=tadd_common + [("NewScratch", 7)], + common_values=tadd_values, + old_clean=["OldScratch"], + new_clean=["NewScratch"], + cases=cases, + ) + + +def check_terminal(old, new, cases): + rng = random.Random(0x8207E21) + k4, K4, k5, K5 = 1, 17, 1, 17 + prefix = [ + ("Ctrl", 1), ("Work1", 259), ("Work2", 259), ("l_t", 8), + ("l_rp", 8), + ] + common_values = random_common(prefix + [("Dirty0", 1)], cases, rng) + common_values["Ctrl"] = [(1 << cases) - 1] + common_values["Extension"] = [0] + common_values["l_t"] = words_from_values( + [case % 15 for case in range(cases)], 8 + ) + common_values["l_rp"] = words_from_values( + [255 - (case % 15) for case in range(cases)], 8 + ) + compare_pair( + label="terminal-length-window-1-17", + old_gate=old.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=K4, k5=k5, K5=K5 + ), + new_gate=new.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=K4, k5=k5, K5=K5 + ), + old_fields=prefix + + [("Dirty0", 1), ("Extension", 1), ("OldScratch", 8)], + new_fields=prefix + + [ + ("Dirty0", 1), + ("DirtyExtra", 7), + ("Extension", 1), + ("NewScratch", 7), + ], + common_values=common_values, + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["DirtyExtra"], + cases=cases, + ) + + +def check_construction(new): + if new.CLEAN_AUX_SIZE != 8: + raise AssertionError(f"candidate Aux={new.CLEAN_AUX_SIZE}, expected 8") + for step in (1, 4, 800, 1616): + circuit = new.build_step_circuit( + n=256, T=step, aux_size=8, measurement_uncompute=True + ) + if circuit.num_qubits != 574: + raise AssertionError( + f"step {step}: local width {circuit.num_qubits}, expected 574" + ) + print( + f"PASS construct step={step} local_qubits={circuit.num_qubits} " + f"top_ops={sum(circuit.count_ops().values())}", + flush=True, + ) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--old", type=Path, required=True) + parser.add_argument("--new", type=Path, required=True) + parser.add_argument("--cases", type=int, default=64) + args = parser.parse_args() + old = verify.load_module("q821_aux9_reference", args.old.resolve()) + new = verify.load_module("q820_aux8_candidate", args.new.resolve()) + check_mod259(old, new) + check_shift_and_phase(old, new, args.cases) + check_arithmetic_blocks(old, new, args.cases) + check_terminal(old, new, args.cases) + check_construction(new) + print("PASS Q820 Aux8 differential suite", flush=True) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_q820_aux8_windows.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q820_aux8_windows.py new file mode 100644 index 00000000..f350223f --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_q820_aux8_windows.py @@ -0,0 +1,270 @@ +#!/usr/bin/env python3 +"""All-certified-window differential checks for the Q820 Aux8 prototype.""" + +from __future__ import annotations + +import argparse +import gc +from pathlib import Path +import random + +import verify_aux11_reductions as verify +import verify_q820_aux8 as common + + +def unique_windows(candidate, name, *, terminal=False): + steps = range(4, 1617, 4) if terminal else range(1, 1617) + return sorted( + { + tuple(candidate.safe_active_windows(256, step)[name]) + for step in steps + } + ) + + +def clear_gate_cache(old, new, name): + for module in (old, new): + gate = getattr(module, name) + if hasattr(gate, "cache_clear"): + gate.cache_clear() + gc.collect() + + +def check_r(old, new, cases): + windows = unique_windows(new, "r_addsub") + for index, (k, upper) in enumerate(windows, 1): + width = upper - k + 1 + fields = [ + ("Ctrl", 1), ("Phase2", 1), ("Mode", 1), ("Sign", 1), + ("Work1", width), ("Work2", width), ("l_t", 8), ("l_q", 9), + ("l_s", 9), ("Dirty", 10), + ] + rng = random.Random(0x82010000 + k * 1024 + upper) + values = common.random_common(fields, cases, rng) + # The certified R gate omits cells outside [k, upper]. Its encoded + # metadata fixes the represented dynamic interval: + # lower=l_t+l_q+1=k and upper=259-l_s. Also, Ctrl is the folded live-R + # predicate, so Ctrl=1 implies Mode=0. Preserve random interior work + # words while enforcing these operational boundary conditions. + mask = (1 << cases) - 1 + ctrl = values["Ctrl"][0] & mask + values["Mode"] = [values["Mode"][0] & (mask ^ ctrl)] + values["l_t"] = common.words_from_values( + [(k - 2) % (1 << 8)] * cases, 8 + ) + values["l_q"] = common.words_from_values([511] * cases, 9) + values["l_s"] = common.words_from_values( + [(258 - upper) % 259] * cases, 9 + ) + common.compare_pair( + label=f"R-{k}-{upper}", + old_gate=old.compact_r_subrestore_fused_gate(n=256, k=k, K=upper), + new_gate=new.compact_r_subrestore_fused_gate(n=256, k=k, K=upper), + old_fields=fields + [("OldScratch", 8)], + new_fields=fields + [("NewScratch", 2)], + common_values=values, + old_clean=["OldScratch"], + new_clean=["NewScratch"], + cases=cases, + ) + clear_gate_cache(old, new, "compact_r_subrestore_fused_gate") + if index % 20 == 0: + print(f"PROGRESS R {index}/{len(windows)}", flush=True) + print(f"PASS R unique_windows={len(windows)}", flush=True) + + +def check_lc(old, new, cases): + windows = unique_windows(new, "swap") + for index, (k, upper) in enumerate(windows, 1): + width = upper - k + 1 + fields = [ + ("Ctrl", 1), ("Direction", 1), ("Sign", 1), + ("Work1", width + 1), ("l_t", 8), ("l_q", 9), + ("Dirty0", 1), + ] + rng = random.Random(0x82020000 + k * 1024 + upper) + common.compare_pair( + label=f"LC-{k}-{upper}", + old_gate=old.compact_lc_swap_gate(k=k, K=upper), + new_gate=new.compact_lc_swap_gate(k=k, K=upper), + old_fields=fields + [("OldScratch", 9)], + new_fields=fields + [("DirtyExtra", 3), ("NewScratch", 8)], + common_values=common.random_common(fields, cases, rng), + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["DirtyExtra"], + cases=cases, + ) + clear_gate_cache(old, new, "compact_lc_swap_gate") + if index % 20 == 0: + print(f"PROGRESS LC {index}/{len(windows)}", flush=True) + print(f"PASS LC unique_windows={len(windows)}", flush=True) + + +def check_tsub(old, new, cases): + windows = unique_windows(new, "t_addsub") + for index, (k, upper) in enumerate(windows, 1): + width = upper - k + 1 + fields = [ + ("Ctrl", 1), ("Sign", 1), ("Work1", width), + ("Work2", width), ("l_t", 8), ("Borrowed0", 1), + ] + old_gate = old.compact_prefix_addsub_gate( + k=k, K=upper, mode="sub", sign_update=False, + capture_borrow_sign=False, target="work2", name="OLD_TSUB", + ) + new_gate = new.compact_prefix_addsub_gate( + k=k, K=upper, mode="sub", sign_update=False, + capture_borrow_sign=False, target="work2", name="NEW_TSUB", + ) + base = sum(width for _, width in fields) + old_scratch = old_gate.num_qubits - base + new_scratch = new_gate.num_qubits - base - 1 + rng = random.Random(0x82030000 + k * 1024 + upper) + common.compare_pair( + label=f"Tsub-{k}-{upper}", + old_gate=old_gate, + new_gate=new_gate, + old_fields=fields + [("OldScratch", old_scratch)], + new_fields=fields + + [("BorrowedExtra", 1), ("NewScratch", new_scratch)], + common_values=common.random_common(fields, cases, rng), + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["BorrowedExtra"], + cases=cases, + ) + clear_gate_cache(old, new, "compact_prefix_addsub_gate") + if index % 20 == 0: + print(f"PROGRESS Tsub {index}/{len(windows)}", flush=True) + print(f"PASS Tsub unique_windows={len(windows)}", flush=True) + + +def check_tadd(old, new, cases): + windows = unique_windows(new, "t_addsub") + for index, (k, upper) in enumerate(windows, 1): + fields = [ + ("Ctrl", 1), ("Sign", 1), ("Tail", 1), ("Work1", 259), + ("Work2", 259), ("l_t", 8), ("l_s", 9), ("l_rp", 8), + ("Dirty", 10), + ] + rng = random.Random(0x82040000 + k * 1024 + upper) + values = common.random_common(fields, cases, rng) + values["l_s"] = common.words_from_values( + [rng.randrange(259) for _ in range(cases)], 9 + ) + common.compare_pair( + label=f"Tadd-{k}-{upper}", + old_gate=old.compact_prefix_add_midtail_gate( + n=256, k=k, K=upper + ), + new_gate=new.compact_prefix_add_midtail_gate( + n=256, k=k, K=upper + ), + old_fields=fields + [("OldScratch", 8)], + new_fields=fields + [("NewScratch", 7)], + common_values=values, + old_clean=["OldScratch"], + new_clean=["NewScratch"], + cases=cases, + ) + clear_gate_cache(old, new, "compact_prefix_add_midtail_gate") + if index % 20 == 0: + print(f"PROGRESS Tadd {index}/{len(windows)}", flush=True) + print(f"PASS Tadd unique_windows={len(windows)}", flush=True) + + +def check_terminal(old, new, cases): + pairs = sorted( + { + ( + tuple(new.safe_active_windows(256, step)["len_update_lt"]), + tuple(new.safe_active_windows(256, step)["len_update_lrp"]), + ) + for step in range(4, 1617, 4) + } + ) + prefix = [ + ("Ctrl", 1), ("Work1", 259), ("Work2", 259), + ("l_t", 8), ("l_rp", 8), + ] + mask = (1 << cases) - 1 + for index, ((k4, K4), (k5, K5)) in enumerate(pairs, 1): + rng = random.Random( + 0x82050000 + k4 * 1_000_000 + K4 * 10_000 + k5 * 100 + K5 + ) + low_a, high_a = max(3, k5), min(258, K5) + low_b, high_b = max(3, k4), min(258, K4) + reachable = low_a <= high_a and low_b <= high_b + values = common.random_common(prefix + [("Dirty0", 1)], cases, rng) + if reachable: + values["Ctrl"] = [mask] + values["Extension"] = [0] + a_values = [rng.randrange(low_a, high_a + 1) for _ in range(cases)] + b_values = [rng.randrange(low_b, high_b + 1) for _ in range(cases)] + values["l_t"] = common.words_from_values( + [a - 3 for a in a_values], 8 + ) + values["l_rp"] = common.words_from_values( + [258 - b for b in b_values], 8 + ) + else: + values["Ctrl"] = [0] + values["Extension"] = [rng.getrandbits(cases)] + common.compare_pair( + label=f"terminal-{k4}-{K4}-{k5}-{K5}", + old_gate=old.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=K4, k5=k5, K5=K5 + ), + new_gate=new.compact_swap_work_and_len_gate( + n=256, k4=k4, K4=K4, k5=k5, K5=K5 + ), + old_fields=prefix + + [("Dirty0", 1), ("Extension", 1), ("OldScratch", 8)], + new_fields=prefix + + [ + ("Dirty0", 1), ("DirtyExtra", 7), ("Extension", 1), + ("NewScratch", 7), + ], + common_values=values, + old_clean=["OldScratch"], + new_clean=["NewScratch"], + new_dirty=["DirtyExtra"], + cases=cases, + ) + clear_gate_cache(old, new, "compact_swap_work_and_len_gate") + clear_gate_cache(old, new, "compact_len_update_lt_gate") + clear_gate_cache(old, new, "compact_len_update_lrp_gate") + if index % 20 == 0: + print(f"PROGRESS terminal {index}/{len(pairs)}", flush=True) + print(f"PASS terminal unique_window_pairs={len(pairs)}", flush=True) + + +CHECKS = { + "r": check_r, + "lc": check_lc, + "tsub": check_tsub, + "tadd": check_tadd, + "terminal": check_terminal, +} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--old", type=Path, required=True) + parser.add_argument("--new", type=Path, required=True) + parser.add_argument("--category", choices=sorted(CHECKS), required=True) + parser.add_argument("--cases", type=int, default=8) + args = parser.parse_args() + old = verify.load_module( + f"q821_aux9_{args.category}_reference", args.old.resolve() + ) + new = verify.load_module( + f"q820_aux8_{args.category}_candidate", args.new.resolve() + ) + CHECKS[args.category](old, new, args.cases) + print(f"PASS all-window category={args.category}", flush=True) + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_data/verify_stream.py b/src/point_add/trailmix_port/inversion/paper2607_data/verify_stream.py new file mode 100644 index 00000000..90c83a8e --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_data/verify_stream.py @@ -0,0 +1,183 @@ +#!/usr/bin/env python3 +"""Verify and aggregate the certified paper2607 primitive shards.""" + +from __future__ import annotations + +import argparse +from collections import Counter +import hashlib +import json +from pathlib import Path +import re +import struct +import subprocess + + +MAGIC = b"P26EEA2\0" +FIELD_WIDTH = 256 +LOCAL_WIDTH = 581 +SCHEDULE_STEPS = 1616 +SOURCE_MODULE = "eea_circuit_s835_fastdual_aux22" +AUX_SIZE = 22 +NAME = re.compile(r"chunk-(\d{4})-(\d{4})\.zst$") + + +def read_exact(stream, size: int) -> bytes: + value = stream.read(size) + if len(value) != size: + raise AssertionError(f"truncated stream: wanted {size}, got {len(value)}") + return value + + +def verify_chunk(path: Path, expected_start: int) -> tuple[dict[str, object], int]: + match = NAME.fullmatch(path.name) + if match is None: + raise AssertionError(f"unexpected chunk name: {path.name}") + name_start, name_end = map(int, match.groups()) + report_path = path.with_suffix(path.suffix + ".json") + report = json.loads(report_path.read_text(encoding="utf-8")) + + process = subprocess.Popen( + ["zstd", "-q", "-dc", str(path)], + stdout=subprocess.PIPE, + ) + assert process.stdout is not None + header = read_exact(process.stdout, 24) + if header[:8] != MAGIC: + raise AssertionError(f"{path.name}: wrong magic") + field_width, local_width, start, end = struct.unpack(" None: + parser = argparse.ArgumentParser() + parser.add_argument( + "--directory", + type=Path, + default=Path(__file__).resolve().parent, + ) + parser.add_argument("--out", type=Path) + args = parser.parse_args() + + paths = sorted(args.directory.glob("chunk-*.zst")) + expected_start = 1 + reports = [] + totals: Counter[str] = Counter() + for path in paths: + report, expected_start = verify_chunk(path, expected_start) + reports.append(report) + totals["records"] += int(report["records"]) + for kind, count in report["counts"].items(): + totals[kind] += int(count) + + if expected_start != SCHEDULE_STEPS + 1: + raise AssertionError( + f"incomplete schedule: next step {expected_start}, expected {SCHEDULE_STEPS + 1}" + ) + if len(reports) != 36: + raise AssertionError(f"wrong chunk count: {len(reports)}") + + kind7 = totals["clean_c3x_mbu"] + aggregate = { + "schema": "paper2607-eea-primitive-stream-aggregate-v1", + "field_width": FIELD_WIDTH, + "local_width": LOCAL_WIDTH, + "source_module": SOURCE_MODULE, + "aux_size": AUX_SIZE, + "schedule_steps": SCHEDULE_STEPS, + "chunk_count": len(reports), + "records_per_traversal": totals["records"], + "emitted_ops_per_traversal": totals["records"] + 3 * kind7, + "executed_toffoli_per_traversal": totals["ccx"] + 2 * kind7, + "four_traversal_emitted_ops": 4 * (totals["records"] + 3 * kind7), + "four_traversal_executed_toffoli": 4 * (totals["ccx"] + 2 * kind7), + "primitive_counts": { + key: totals[key] + for key in ("x", "cx", "ccx", "clean_c3x_mbu") + }, + "chunks": [ + { + key: report[key] + for key in ( + "file", + "step_start", + "step_end", + "records", + "raw_record_sha256", + "compressed_bytes", + "compressed_sha256", + ) + } + for report in reports + ], + } + encoded = json.dumps(aggregate, indent=2, sort_keys=True) + "\n" + if args.out is not None: + args.out.write_text(encoded, encoding="utf-8") + print(encoded, end="") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_eea.rs b/src/point_add/trailmix_port/inversion/paper2607_eea.rs new file mode 100644 index 00000000..7a89a20f --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_eea.rs @@ -0,0 +1,698 @@ +//! Coherent lowering of Luo et al.'s 835-qubit fixed-schedule EEA. +//! +//! The paper implementation uses measurement-based unary uncomputation and +//! exposes a resource-only placeholder for the inverse EEA. This backend +//! instead embeds the fully decomposed X/CX/CCX step stream, emits it forward, +//! and emits the exact reversed stream for cleanup. The surrounding divider +//! keeps the source live through multiplication and uses HMR only for product +//! transport, matching the executable register-shared lifecycle. + +use crate::circuit::OperationType; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use std::io::Cursor; + +const FIELD_WIDTH: usize = 257; +const VALUE_WIDTH: usize = 256; +const WORK_WIDTH: usize = 259; +const LT_WIDTH: usize = 8; +const LQ_WIDTH: usize = 9; +const SHIFT_WIDTH: usize = 9; +const LRP_WIDTH: usize = 8; +const AUX_WIDTH: usize = 2; +const LQ_ZERO_ENCODING: usize = (1 << LQ_WIDTH) - 1; +const LS_ZERO_ENCODING: usize = 258; +const LRP_ZERO_ENCODING: usize = (1 << LRP_WIDTH) - 1; +const CORE_WIDTH: usize = 558; +const DIRTY_REFERENCE_WIDTH: usize = 10; +const LOCAL_WIDTH: usize = CORE_WIDTH + DIRTY_REFERENCE_WIDTH; +const SCHEDULE_STEPS: usize = 1_616; +const STREAM_RECORDS_PER_TRAVERSAL: usize = 294_387_780; +const STREAM_X_PER_TRAVERSAL: usize = 14_300_100; +const STREAM_CX_PER_TRAVERSAL: usize = 12_292_494; +// Includes the two emitted CCX gates for every clean-C3X MBU marker. +const STREAM_CCX_PER_TRAVERSAL: usize = 267_801_634; +const STREAM_HMR_PER_TRAVERSAL: usize = 6_448; +const STREAM_CZ_PER_TRAVERSAL: usize = 6_448; + +const fn half_plus_one_le() -> [u8; 33] { + let mut bytes = [0xff; 33]; + bytes[0] = 0x18; + bytes[1] = 0xfe; + bytes[3] = 0x7f; + bytes[31] = 0x7f; + bytes[32] = 0; + bytes +} + +const HALF_PLUS_ONE_LE: [u8; 33] = half_plus_one_le(); + +const STREAM_CHUNKS: [&[u8]; 36] = [ + include_bytes!("paper2607_exactwidth_data/chunk-0001-0045.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0046-0090.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0091-0135.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0136-0180.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0181-0225.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0226-0270.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0271-0315.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0316-0360.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0361-0405.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0406-0450.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0451-0495.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0496-0540.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0541-0585.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0586-0630.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0631-0675.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0676-0720.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0721-0765.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0766-0810.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0811-0855.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0856-0900.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0901-0945.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0946-0990.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-0991-1035.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1036-1080.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1081-1125.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1126-1170.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1171-1215.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1216-1260.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1261-1305.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1306-1350.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1351-1395.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1396-1440.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1441-1485.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1486-1530.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1531-1575.zst"), + include_bytes!("paper2607_exactwidth_data/chunk-1576-1616.zst"), +]; + +pub fn enabled() -> bool { + std::env::var("PAPER2607_COHERENT_EEA").ok().as_deref() == Some("1") +} + +fn read_u32(bytes: &[u8], offset: usize) -> u32 { + u32::from_le_bytes(bytes[offset..offset + 4].try_into().expect("u32 record")) +} + +fn decode_chunk(compressed: &[u8]) -> Vec { + let decoded = zstd::stream::decode_all(Cursor::new(compressed)) + .expect("decode paper2607 primitive stream"); + assert!(decoded.len() >= 24, "truncated paper2607 stream header"); + assert_eq!(&decoded[..8], b"P26EEA2\0"); + assert_eq!(read_u32(&decoded, 8), VALUE_WIDTH as u32); + assert_eq!(read_u32(&decoded, 12), LOCAL_WIDTH as u32); + assert_eq!((decoded.len() - 24) % 8, 0, "partial paper2607 record"); + decoded +} + +fn emit_record(circ: &mut Circuit, local: &[&QReg], word: u64) { + let kind = (word & 0xf) as u8; + let arity = ((word >> 4) & 0xf) as usize; + let q0 = ((word >> 8) & 0x3ff) as usize; + let q1 = ((word >> 18) & 0x3ff) as usize; + let q2 = ((word >> 28) & 0x3ff) as usize; + let q3 = ((word >> 38) & 0x3ff) as usize; + let q4 = ((word >> 48) & 0x3ff) as usize; + assert!(q0 < local.len()); + match (kind, arity) { + (1, 1) => circ.x(local[q0]), + (2, 2) => { + assert!(q1 < local.len()); + circ.cx(local[q0], local[q1]); + } + (3, 3) => { + assert!(q1 < local.len() && q2 < local.len()); + circ.ccx(local[q0], local[q1], local[q2]); + } + (4, 1) => circ.z(local[q0]), + (5, 2) => { + assert!(q1 < local.len()); + circ.cz(local[q0], local[q1]); + } + (6, 2) => { + assert!(q1 < local.len()); + circ.swap(local[q0], local[q1]); + } + (7, 5) => { + assert!(q1 < local.len() && q2 < local.len()); + assert!(q3 < local.len() && q4 < local.len()); + circ.ccx(local[q0], local[q1], local[q4]); + circ.ccx(local[q2], local[q4], local[q3]); + circ.clear_and(local[q4], local[q0], local[q1]); + } + _ => panic!("invalid paper2607 primitive kind={kind} arity={arity}"), + } +} + +struct Core { + phase1: QReg, + phase2: QReg, + iteration: QReg, + sign: QReg, + work1: Vec, + work2: Vec, + l_t: Vec, + l_q: Vec, + l_s: Vec, + l_rp: Vec, + aux: Vec, +} + +struct Terminal { + iteration: QReg, + work2: Vec, + l_s: Vec, +} + +struct CanonicalTopLoan { + restored: bool, + context: &'static str, +} + +impl Drop for CanonicalTopLoan { + fn drop(&mut self) { + assert!( + self.restored || std::thread::panicking(), + "{} canonical top loan dropped without restore", + self.context + ); + } +} + +/// Lend a canonical field register's known-zero extension lane to the EEA. +/// The replacement lane need not retain physical identity because the 257th +/// lane is internal, canonical zero state rather than ABI-visible data. +fn loan_canonical_top( + circ: &mut Circuit, + register: &mut Vec, + context: &'static str, +) -> CanonicalTopLoan { + assert_eq!( + register.len(), + FIELD_WIDTH, + "{context} canonical register width" + ); + let live_before = circ.b.active_qubits; + let top = register.pop().expect("canonical top lane"); + circ.zero_and_free(top); + assert_eq!(register.len(), FIELD_WIDTH - 1); + assert_eq!( + circ.b.active_qubits + 1, + live_before, + "{context} canonical top loan must free one qubit" + ); + circ.lowq_passenger_top_releases += 1; + CanonicalTopLoan { + restored: false, + context, + } +} + +fn restore_canonical_top(circ: &mut Circuit, register: &mut Vec, mut loan: CanonicalTopLoan) { + assert_eq!( + register.len(), + FIELD_WIDTH - 1, + "{} shortened canonical register width", + loan.context + ); + let live_before = circ.b.active_qubits; + register.push(circ.alloc_qreg(&format!("{}.restored", loan.context))); + assert_eq!(register.len(), FIELD_WIDTH); + assert_eq!( + circ.b.active_qubits, + live_before + 1, + "{} canonical top restore must allocate one clean qubit", + loan.context + ); + assert!( + circ.lowq_passenger_top_releases > 0, + "passenger top loan state underflow" + ); + circ.lowq_passenger_top_releases -= 1; + loan.restored = true; +} + +fn free_clean(circ: &mut Circuit, register: Vec) { + for lane in register { + circ.zero_and_free(lane); + } +} + +fn toggle_constant(circ: &mut Circuit, register: &[QReg], value: usize) { + for (index, lane) in register.iter().enumerate() { + if (value >> index) & 1 != 0 { + circ.x(lane); + } + } +} + +fn toggle_initial_work1(circ: &mut Circuit, work1: &[QReg]) { + use crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE; + + assert_eq!(work1.len(), WORK_WIDTH); + circ.x(&work1[0]); + for bit in 0..VALUE_WIDTH { + if (SECP256K1_P_LE[bit / 8] >> (bit % 8)) & 1 != 0 { + circ.x(&work1[WORK_WIDTH - 1 - bit]); + } + } +} + +fn toggle_terminal_work1(circ: &mut Circuit, work1: &[QReg]) { + use crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE; + + assert_eq!(work1.len(), WORK_WIDTH); + for bit in 0..VALUE_WIDTH { + if (SECP256K1_P_LE[bit / 8] >> (bit % 8)) & 1 != 0 { + circ.x(&work1[bit]); + } + } + circ.x(&work1[WORK_WIDTH - 1]); +} + +fn local_wires<'a>(core: &'a Core, passenger: &'a [QReg]) -> Vec<&'a QReg> { + assert!( + passenger.len() >= DIRTY_REFERENCE_WIDTH, + "paper2607 dirty-passenger lender shortage" + ); + let mut wires = Vec::with_capacity(LOCAL_WIDTH); + wires.extend([&core.phase1, &core.phase2, &core.iteration, &core.sign]); + wires.extend(core.work1.iter()); + wires.extend(core.work2.iter()); + wires.extend(core.l_t.iter()); + wires.extend(core.l_q.iter()); + wires.extend(core.l_s.iter()); + wires.extend(core.l_rp.iter()); + wires.extend(core.aux.iter()); + wires.extend(passenger.iter().take(DIRTY_REFERENCE_WIDTH)); + assert_eq!(wires.len() - DIRTY_REFERENCE_WIDTH, CORE_WIDTH); + assert_eq!(wires.len(), LOCAL_WIDTH); + wires +} + +fn count_stub_enabled(circ: &Circuit) -> bool { + circ.b.count_only + && std::env::var_os("POINT_ADD_HASH_OPS_LEN").is_none() + && std::env::var("PAPER2607_COUNT_STUB").ok().as_deref() == Some("1") +} + +fn emit_count_stub(circ: &mut Circuit) { + circ.b + .add_counted_kind(OperationType::X, STREAM_X_PER_TRAVERSAL); + circ.b + .add_counted_kind(OperationType::CX, STREAM_CX_PER_TRAVERSAL); + circ.b + .add_counted_kind(OperationType::CCX, STREAM_CCX_PER_TRAVERSAL); + circ.b + .add_counted_kind(OperationType::Hmr, STREAM_HMR_PER_TRAVERSAL); + circ.b + .add_counted_kind(OperationType::CZ, STREAM_CZ_PER_TRAVERSAL); +} + +fn emit_forward(circ: &mut Circuit, core: &Core, passenger: &[QReg]) { + if count_stub_enabled(circ) { + emit_count_stub(circ); + return; + } + let wires = local_wires(core, passenger); + let mut expected_start = 1_u32; + for compressed in STREAM_CHUNKS { + let decoded = decode_chunk(compressed); + let start = read_u32(&decoded, 16); + let end = read_u32(&decoded, 20); + assert_eq!(start, expected_start, "paper2607 chunk gap"); + assert!(end >= start && end <= SCHEDULE_STEPS as u32); + for record in decoded[24..].chunks_exact(8) { + emit_record( + circ, + &wires, + u64::from_le_bytes(record.try_into().expect("primitive record")), + ); + } + expected_start = end + 1; + } + assert_eq!(expected_start, SCHEDULE_STEPS as u32 + 1); +} + +fn emit_reverse(circ: &mut Circuit, core: &Core, passenger: &[QReg]) { + if count_stub_enabled(circ) { + emit_count_stub(circ); + return; + } + let wires = local_wires(core, passenger); + let mut expected_end = SCHEDULE_STEPS as u32; + for compressed in STREAM_CHUNKS.iter().rev() { + let decoded = decode_chunk(compressed); + let start = read_u32(&decoded, 16); + let end = read_u32(&decoded, 20); + assert_eq!(end, expected_end, "paper2607 reverse chunk gap"); + assert!(start >= 1 && start <= end); + for record in decoded[24..].chunks_exact(8).rev() { + emit_record( + circ, + &wires, + u64::from_le_bytes(record.try_into().expect("primitive record")), + ); + } + expected_end = start - 1; + } + assert_eq!(expected_end, 0); +} + +fn rotation_swaps(width: usize, shift: usize) -> Vec<(usize, usize)> { + let shift = shift % width; + if shift == 0 { + return Vec::new(); + } + let mut seen = vec![false; width]; + let mut swaps = Vec::with_capacity(width - 1); + for start in 0..width { + if seen[start] { + continue; + } + let mut cycle = Vec::new(); + let mut lane = start; + while !seen[lane] { + seen[lane] = true; + cycle.push(lane); + lane = (lane + shift) % width; + } + for &other in cycle.iter().skip(1) { + swaps.push((cycle[0], other)); + } + } + swaps +} + +fn canonicalize_terminal_work2(circ: &mut Circuit, terminal: &Terminal) { + // l_s stores (shift - 1) mod 259. Apply the missing unit rotation + // directly, then use the encoded bits for the remaining rotation. + for (left, right) in rotation_swaps(WORK_WIDTH, 1) { + circ.swap(&terminal.work2[left], &terminal.work2[right]); + } + for (bit, control) in terminal.l_s.iter().enumerate() { + for (left, right) in rotation_swaps(WORK_WIDTH, 1usize << bit) { + circ.cswap(control, &terminal.work2[left], &terminal.work2[right]); + } + } +} + +fn restore_terminal_work2_rotation(circ: &mut Circuit, terminal: &Terminal) { + for (bit, control) in terminal.l_s.iter().enumerate().rev() { + let swaps = rotation_swaps(WORK_WIDTH, 1usize << bit); + for &(left, right) in swaps.iter().rev() { + circ.cswap(control, &terminal.work2[left], &terminal.work2[right]); + } + } + let unit = rotation_swaps(WORK_WIDTH, 1); + for &(left, right) in unit.iter().rev() { + circ.swap(&terminal.work2[left], &terminal.work2[right]); + } +} + +fn initialize(circ: &mut Circuit, mut dx: Vec) -> Core { + use super::register_shared_eea_microkernels::decrement_mod_2n; + use super::shrunken_pz_state_machine::{bit_length_lean, controlled_field_neg}; + use crate::point_add::trailmix_port::arith::compare::compare_geq_const; + + assert_eq!(dx.len(), FIELD_WIDTH); + let iteration = circ.alloc_qreg("paper2607.iteration"); + compare_geq_const(circ, &dx, &HALF_PLUS_ONE_LE, &iteration); + controlled_field_neg(circ, &iteration, &dx); + + let mut l_rp = circ.alloc_qreg_bits("paper2607.l-rp", LRP_WIDTH); + l_rp.push(circ.alloc_qreg("paper2607.l-rp.high-temporary")); + let source: Vec<&QReg> = dx.iter().take(VALUE_WIDTH).collect(); + bit_length_lean(circ, &source, &l_rp, false); + let length_scratch = circ.alloc_qreg_bits("paper2607.length-decrement", LRP_WIDTH); + decrement_mod_2n(circ, &l_rp, &length_scratch); + free_clean(circ, length_scratch); + let l_rp_high = l_rp.pop().expect("paper2607 l_rp temporary high bit"); + circ.zero_and_free(l_rp_high); + assert_eq!(l_rp.len(), LRP_WIDTH); + + dx.push(circ.alloc_qreg("paper2607.work2-pad0")); + dx.push(circ.alloc_qreg("paper2607.work2-pad1")); + dx.reverse(); + let work2 = dx; + + let work1 = circ.alloc_qreg_bits("paper2607.work1", WORK_WIDTH); + toggle_initial_work1(circ, &work1); + let phase1 = circ.alloc_qreg("paper2607.phase1"); + let phase2 = circ.alloc_qreg("paper2607.phase2"); + let sign = circ.alloc_qreg("paper2607.sign"); + let l_t = circ.alloc_qreg_bits("paper2607.l-t", LT_WIDTH); + let l_q = circ.alloc_qreg_bits("paper2607.l-q", LQ_WIDTH); + let l_s = circ.alloc_qreg_bits("paper2607.l-s", SHIFT_WIDTH); + toggle_constant(circ, &l_q, LQ_ZERO_ENCODING); + toggle_constant(circ, &l_s, LS_ZERO_ENCODING); + let aux = circ.alloc_qreg_bits("paper2607.aux", AUX_WIDTH); + + Core { + phase1, + phase2, + iteration, + sign, + work1, + work2, + l_t, + l_q, + l_s, + l_rp, + aux, + } +} + +fn release_terminal(circ: &mut Circuit, core: Core) -> Terminal { + toggle_terminal_work1(circ, &core.work1); + free_clean(circ, core.work1); + toggle_constant(circ, &core.l_t, VALUE_WIDTH - 1); + free_clean(circ, core.l_t); + toggle_constant(circ, &core.l_q, LQ_ZERO_ENCODING); + free_clean(circ, core.l_q); + toggle_constant(circ, &core.l_rp, LRP_ZERO_ENCODING); + free_clean(circ, core.l_rp); + circ.zero_and_free(core.phase1); + circ.zero_and_free(core.phase2); + circ.zero_and_free(core.sign); + free_clean(circ, core.aux); + Terminal { + iteration: core.iteration, + work2: core.work2, + l_s: core.l_s, + } +} + +fn rebuild_terminal(circ: &mut Circuit, terminal: Terminal) -> Core { + let work1 = circ.alloc_qreg_bits("paper2607.work1.rebuilt", WORK_WIDTH); + toggle_terminal_work1(circ, &work1); + let l_t = circ.alloc_qreg_bits("paper2607.l-t.rebuilt", LT_WIDTH); + toggle_constant(circ, &l_t, VALUE_WIDTH - 1); + let l_q = circ.alloc_qreg_bits("paper2607.l-q.rebuilt", LQ_WIDTH); + toggle_constant(circ, &l_q, LQ_ZERO_ENCODING); + let l_rp = circ.alloc_qreg_bits("paper2607.l-rp.rebuilt", LRP_WIDTH); + toggle_constant(circ, &l_rp, LRP_ZERO_ENCODING); + Core { + phase1: circ.alloc_qreg("paper2607.phase1.rebuilt"), + phase2: circ.alloc_qreg("paper2607.phase2.rebuilt"), + iteration: terminal.iteration, + sign: circ.alloc_qreg("paper2607.sign.rebuilt"), + work1, + work2: terminal.work2, + l_t, + l_q, + l_s: terminal.l_s, + l_rp, + aux: circ.alloc_qreg_bits("paper2607.aux.rebuilt", AUX_WIDTH), + } +} + +fn finish(circ: &mut Circuit, mut core: Core) -> Vec { + use super::register_shared_eea_microkernels::increment_mod_2n; + use super::shrunken_pz_state_machine::{bit_length_lean, controlled_field_neg}; + use crate::point_add::trailmix_port::arith::compare::compare_geq_const; + + circ.zero_and_free(core.phase1); + circ.zero_and_free(core.phase2); + circ.zero_and_free(core.sign); + toggle_initial_work1(circ, &core.work1); + free_clean(circ, core.work1); + free_clean(circ, core.l_t); + toggle_constant(circ, &core.l_q, LQ_ZERO_ENCODING); + free_clean(circ, core.l_q); + toggle_constant(circ, &core.l_s, LS_ZERO_ENCODING); + free_clean(circ, core.l_s); + free_clean(circ, core.aux); + + core.work2.reverse(); + let pad1 = core.work2.pop().expect("paper2607 Work2 pad1"); + let pad0 = core.work2.pop().expect("paper2607 Work2 pad0"); + circ.zero_and_free(pad1); + circ.zero_and_free(pad0); + assert_eq!(core.work2.len(), FIELD_WIDTH); + + core.l_rp + .push(circ.alloc_qreg("paper2607.l-rp.high-temporary.finish")); + let length_scratch = circ.alloc_qreg_bits("paper2607.length-increment", LRP_WIDTH); + increment_mod_2n(circ, &core.l_rp, &length_scratch); + free_clean(circ, length_scratch); + let source: Vec<&QReg> = core.work2.iter().take(VALUE_WIDTH).collect(); + bit_length_lean(circ, &source, &core.l_rp, true); + free_clean(circ, core.l_rp); + + controlled_field_neg(circ, &core.iteration, &core.work2); + compare_geq_const(circ, &core.work2, &HALF_PLUS_ONE_LE, &core.iteration); + circ.zero_and_free(core.iteration); + core.work2 +} + +fn toggle_inverse_sign(circ: &mut Circuit, terminal: &Terminal) { + use super::shrunken_pz_state_machine::controlled_field_neg; + + // Canonical Work2 is t' || 000, so lane 256 is already the clean field + // top required by the 257-bit modular arithmetic interface. + assert_eq!(terminal.work2.len(), WORK_WIDTH); + circ.x(&terminal.iteration); + controlled_field_neg(circ, &terminal.iteration, &terminal.work2[..FIELD_WIDTH]); + circ.x(&terminal.iteration); +} + +pub fn divide_forward( + circ: &mut Circuit, + dx: Vec, + mut dy: Vec, +) -> (Vec, Vec, Vec) { + use super::shrunken_pz_state_machine::{ + release_q955_canonical_lambda_top, restore_q955_canonical_lambda_top, + }; + use crate::point_add::trailmix_port::arith::rfold_mbu::mod_mul_canonical_mbu; + + assert_eq!(dx.len(), FIELD_WIDTH); + assert_eq!(dy.len(), FIELD_WIDTH); + let released_dy_top = loan_canonical_top(circ, &mut dy, "paper2607 forward dy"); + let core = initialize(circ, dx); + emit_forward(circ, &core, &dy); + let mut terminal = release_terminal(circ, core); + canonicalize_terminal_work2(circ, &terminal); + toggle_inverse_sign(circ, &terminal); + + restore_canonical_top(circ, &mut dy, released_dy_top); + let mut lambda = circ.alloc_qreg_bits("paper2607.lambda", FIELD_WIDTH); + mod_mul_canonical_mbu(circ, &lambda, &terminal.work2[..FIELD_WIDTH], &dy); + toggle_inverse_sign(circ, &terminal); + restore_terminal_work2_rotation(circ, &terminal); + release_q955_canonical_lambda_top(circ, &mut lambda); + + let dy_ghosts: Vec<_> = dy.iter().map(|lane| circ.hmr_ghost(lane)).collect(); + free_clean(circ, dy); + let core = rebuild_terminal(circ, terminal); + emit_reverse(circ, &core, &lambda); + let dx = finish(circ, core); + + restore_q955_canonical_lambda_top(circ, &mut lambda); + let dy = circ.alloc_qreg_bits("paper2607.dy-restored", FIELD_WIDTH); + mod_mul_canonical_mbu(circ, &dy, &lambda, &dx); + for (ghost, lane) in dy_ghosts.into_iter().zip(&dy) { + circ.resolve_ghost(ghost, lane); + } + (dx, dy, lambda) +} + +pub fn divide_cancel( + circ: &mut Circuit, + dx: Vec, + mut dy: Vec, + lambda: Vec, +) -> (Vec, Vec) { + use crate::point_add::trailmix_port::arith::rfold_mbu::{ + mod_mul_canonical_mbu, mod_mul_canonical_mbu_undo, + }; + + assert_eq!(dx.len(), FIELD_WIDTH); + assert_eq!(dy.len(), FIELD_WIDTH); + assert_eq!(lambda.len(), FIELD_WIDTH); + let lambda_ghosts: Vec<_> = lambda.iter().map(|lane| circ.hmr_ghost(lane)).collect(); + free_clean(circ, lambda); + + let released_forward_dy_top = loan_canonical_top(circ, &mut dy, "paper2607 cancel-forward dy"); + let core = initialize(circ, dx); + emit_forward(circ, &core, &dy); + let mut terminal = release_terminal(circ, core); + canonicalize_terminal_work2(circ, &terminal); + toggle_inverse_sign(circ, &terminal); + + restore_canonical_top(circ, &mut dy, released_forward_dy_top); + let quotient = circ.alloc_qreg_bits("paper2607.quotient-check", FIELD_WIDTH); + mod_mul_canonical_mbu(circ, "ient, &terminal.work2[..FIELD_WIDTH], &dy); + for (ghost, lane) in lambda_ghosts.into_iter().zip("ient) { + circ.resolve_ghost(ghost, lane); + } + mod_mul_canonical_mbu_undo(circ, "ient, &terminal.work2[..FIELD_WIDTH], &dy); + free_clean(circ, quotient); + + toggle_inverse_sign(circ, &terminal); + restore_terminal_work2_rotation(circ, &terminal); + let released_reverse_dy_top = loan_canonical_top(circ, &mut dy, "paper2607 cancel-reverse dy"); + let core = rebuild_terminal(circ, terminal); + emit_reverse(circ, &core, &dy); + let dx = finish(circ, core); + restore_canonical_top(circ, &mut dy, released_reverse_dy_top); + (dx, dy) +} + +#[cfg(test)] +mod tests { + use super::*; + + fn apply_swaps(values: &mut [T], swaps: &[(usize, usize)]) { + for &(left, right) in swaps { + values.swap(left, right); + } + } + + #[test] + fn rotation_schedule_moves_each_lane_right() { + for shift in [1, 2, 3, 17, 128, 256] { + let mut lanes: Vec<_> = (0..WORK_WIDTH).collect(); + apply_swaps(&mut lanes, &rotation_swaps(WORK_WIDTH, shift)); + for source in 0..WORK_WIDTH { + assert_eq!(lanes[(source + shift) % WORK_WIDTH], source); + } + } + } + + #[test] + fn rotation_schedule_reverses_exactly() { + for shift in [1, 2, 3, 17, 128, 256] { + let swaps = rotation_swaps(WORK_WIDTH, shift); + let mut lanes: Vec<_> = (0..WORK_WIDTH).collect(); + apply_swaps(&mut lanes, &swaps); + for &(left, right) in swaps.iter().rev() { + lanes.swap(left, right); + } + assert_eq!(lanes, (0..WORK_WIDTH).collect::>()); + } + } + + #[test] + fn embedded_stream_is_complete_and_primitive() { + let mut expected_start = 1_u32; + let mut records = 0_usize; + for compressed in STREAM_CHUNKS { + let decoded = decode_chunk(compressed); + let start = read_u32(&decoded, 16); + let end = read_u32(&decoded, 20); + assert_eq!(start, expected_start); + for record in decoded[24..].chunks_exact(8).step_by(10_003) { + let word = u64::from_le_bytes(record.try_into().expect("primitive record")); + let kind = word & 0xf; + let arity = (word >> 4) & 0xf; + assert!(matches!((kind, arity), (1, 1) | (2, 2) | (3, 3) | (7, 5))); + assert!(((word >> 8) & 0x3ff) < LOCAL_WIDTH as u64); + } + records += (decoded.len() - 24) / 8; + expected_start = end + 1; + } + assert_eq!(expected_start, SCHEDULE_STEPS as u32 + 1); + assert_eq!(records, STREAM_RECORDS_PER_TRAVERSAL); + } +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/SHA256SUMS b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/SHA256SUMS new file mode 100644 index 00000000..869768e1 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/SHA256SUMS @@ -0,0 +1,79 @@ +b6ef3d5b8a4e69dcd0b929e0e5adffa59e58b1546bd4974d7afa3007ec6fe98c aggregate.json +b6ef3d5b8a4e69dcd0b929e0e5adffa59e58b1546bd4974d7afa3007ec6fe98c aggregate_manifest.json +b6ef3d5b8a4e69dcd0b929e0e5adffa59e58b1546bd4974d7afa3007ec6fe98c aggregate_reverified_repair.json +926fba7b359de9cce8c790b81f1fdd4543c06fcc0cc9581ee65184f1469ad122 chunk-0001-0045.zst 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00000000..aa778770 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/TRANSFORM.md @@ -0,0 +1,39 @@ +# Q814 repaired Aux2 certified primitive stream + +These 36 contiguous shards are the fixed-point-reduced primitive stream for all +1,616 steps of the repaired two-clean-auxiliary paper2607 schedule. Each +sidecar records its compressed hash, raw-record hash, primitive histogram, and +per-step totals. `aggregate.json`, `aggregate_manifest.json`, +`reduction_manifest.json`, and `SHA256SUMS` bind the traversal and reduction +receipts. + +The candidate descends from trusted Q815. Its compact R step temporarily stores +the complete original Phase2 bit in `Mode`, clears Phase2 for use as the equality +accumulator, compensates the affine high source, and conditionally restores the +swapped 255/511 sentinel. This handles the reachable phase-B endpoint with +physical `l_q=511` that falsified the first Q814 attempt. The second scan keeps +the trusted implicit `NOT(Mode & Sign)` primitives; no lossy selector conversion +is used. + +The source was generated from +`paper2607_data/eea_circuit_s835_exactwidth_dirty12.py`, reduced by the Q814 +fixed-point reducer, and independently checked by +`paper2607_data/verify_q814_stream.py`. The embedded local layout has width 568: +a 558-qubit persistent EEA core plus ten restored dirty references supplied by +the surrounding point-add circuit. With the external point lane, the measured +challenge peak is 814 qubits. + +The reduced stream contains 294,387,780 records per traversal. It emits +294,407,124 operations and executes 267,801,634 Toffolis per traversal. The +primitive histogram is 14,300,100 X, 12,292,494 CX, 267,788,738 CCX, and 6,448 +clean-C3X MBU markers. Four EEA traversals contribute 1,177,628,496 emitted +operations and 1,071,206,536 executed Toffolis before the unchanged surrounding +point-add operations. + +The full trusted local replay loaded 1,202,156,283 operations, measured 814 +qubits, and passed all 9,024 shots with zero classical mismatches, zero phase +garbage, and zero ancilla garbage. The high Toffoli count is a deliberate width +trade for the qubit/custom leaderboard and the Q813-to-Q808 descent; it is not a +scalar-score improvement. + +Model attribution: GPT-5.6 Codex. diff --git a/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/aggregate.json b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/aggregate.json new file mode 100644 index 00000000..e9280120 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/aggregate.json @@ -0,0 +1,346 @@ +{ + "aux_size": 2, + "chunk_count": 36, + "chunks": [ + { + "compressed_bytes": 217617, + "compressed_sha256": "926fba7b359de9cce8c790b81f1fdd4543c06fcc0cc9581ee65184f1469ad122", + "file": "chunk-0001-0045.zst", + "raw_record_sha256": "5bd02522c2ed05c1cc0a17e6286cbfa428ed37dfce9b70a5def8249da4b052d9", + "records": 7302832, + "step_end": 45, + "step_start": 1 + }, + { + "compressed_bytes": 257991, + "compressed_sha256": 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"source_records": 305549486 +} diff --git a/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/verify_exactwidth_stream.py b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/verify_exactwidth_stream.py new file mode 100644 index 00000000..103e2729 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/verify_exactwidth_stream.py @@ -0,0 +1,14 @@ +#!/usr/bin/env python3 +"""Verify and aggregate certified Q814 Aux2 paper2607 primitive shards.""" + +from __future__ import annotations + +import verify_q818_stream as q817_verifier + + +q817_verifier.verifier.LOCAL_WIDTH = 568 +q817_verifier.verifier.AUX_SIZE = 2 + + +if __name__ == "__main__": + q817_verifier.verifier.main() diff --git a/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/verify_q819_stream.py b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/verify_q819_stream.py new file mode 100644 index 00000000..a86b577b --- /dev/null +++ b/src/point_add/trailmix_port/inversion/paper2607_exactwidth_data/verify_q819_stream.py @@ -0,0 +1,183 @@ +#!/usr/bin/env python3 +"""Verify and aggregate certified Q819 Aux7 paper2607 primitive shards.""" + +from __future__ import annotations + +import argparse +from collections import Counter +import hashlib +import json +from pathlib import Path +import re +import struct +import subprocess + + +MAGIC = b"P26EEA2\0" +FIELD_WIDTH = 256 +LOCAL_WIDTH = 573 +SCHEDULE_STEPS = 1616 +SOURCE_MODULE = "eea_circuit_s835_exactwidth_dirty12" +AUX_SIZE = 7 +NAME = re.compile(r"chunk-(\d{4})-(\d{4})\.zst$") + + +def read_exact(stream, size: int) -> bytes: + value = stream.read(size) + if len(value) != size: + raise AssertionError(f"truncated stream: wanted {size}, got {len(value)}") + return value + + +def verify_chunk(path: Path, expected_start: int) -> tuple[dict[str, object], int]: + match = NAME.fullmatch(path.name) + if match is None: + raise AssertionError(f"unexpected chunk name: {path.name}") + name_start, name_end = map(int, match.groups()) + report_path = path.with_suffix(path.suffix + ".json") + report = json.loads(report_path.read_text(encoding="utf-8")) + + process = subprocess.Popen( + ["zstd", "-q", "-dc", str(path)], + stdout=subprocess.PIPE, + ) + assert process.stdout is not None + header = read_exact(process.stdout, 24) + if header[:8] != MAGIC: + raise AssertionError(f"{path.name}: wrong magic") + field_width, local_width, start, end = struct.unpack(" None: + parser = argparse.ArgumentParser() + parser.add_argument( + "--directory", + type=Path, + default=Path(__file__).resolve().parent, + ) + parser.add_argument("--out", type=Path) + args = parser.parse_args() + + paths = sorted(args.directory.glob("chunk-*.zst")) + expected_start = 1 + reports = [] + totals: Counter[str] = Counter() + for path in paths: + report, expected_start = verify_chunk(path, expected_start) + reports.append(report) + totals["records"] += int(report["records"]) + for kind, count in report["counts"].items(): + totals[kind] += int(count) + + if expected_start != SCHEDULE_STEPS + 1: + raise AssertionError( + f"incomplete schedule: next step {expected_start}, expected {SCHEDULE_STEPS + 1}" + ) + if len(reports) != 36: + raise AssertionError(f"wrong chunk count: {len(reports)}") + + kind7 = totals["clean_c3x_mbu"] + aggregate = { + "schema": "paper2607-eea-primitive-stream-aggregate-v1", + "field_width": FIELD_WIDTH, + "local_width": LOCAL_WIDTH, + "source_module": SOURCE_MODULE, + "aux_size": AUX_SIZE, + "schedule_steps": SCHEDULE_STEPS, + "chunk_count": len(reports), + "records_per_traversal": totals["records"], + "emitted_ops_per_traversal": totals["records"] + 3 * kind7, + "executed_toffoli_per_traversal": totals["ccx"] + 2 * kind7, + "four_traversal_emitted_ops": 4 * (totals["records"] + 3 * kind7), + "four_traversal_executed_toffoli": 4 * (totals["ccx"] + 2 * kind7), + "primitive_counts": { + key: totals[key] + for key in ("x", "cx", "ccx", "clean_c3x_mbu") + }, + "chunks": [ + { + key: report[key] + for key in ( + "file", + "step_start", + "step_end", + "records", + "raw_record_sha256", + "compressed_bytes", + "compressed_sha256", + ) + } + for report in reports + ], + } + encoded = json.dumps(aggregate, indent=2, sort_keys=True) + "\n" + if args.out is not None: + args.out.write_text(encoded, encoding="utf-8") + print(encoded, end="") + + +if __name__ == "__main__": + main() diff --git a/src/point_add/trailmix_port/inversion/q944_dirty_catalytic_predicate.rs b/src/point_add/trailmix_port/inversion/q944_dirty_catalytic_predicate.rs new file mode 100644 index 00000000..e6713559 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q944_dirty_catalytic_predicate.rs @@ -0,0 +1,667 @@ +//! Arbitrary-dirty catalytic control for elementary involutions. +//! +//! For an involution `G`, desired predicate `f`, and arbitrary dirty bit `d`, +//! +//! `G^d; d ^= f; G^d; d ^= f = G^f`. +//! +//! The circuit proxy below applies this identity gate by gate. Its predicate +//! toggle may be a direct CNOT in the small algebra proof or the independently +//! proved arbitrary-dirty-carry strict comparator in the production-shaped +//! proof. No production PZ route is enabled by this module. + +use crate::circuit::{ + Op, OperationType, QubitId, NO_BIT, NO_QUBIT, +}; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use crate::point_add::trailmix_port::inversion::q944_dirty_parity_microkernels:: + strict_compare_gated_dirty_carry_refs; +use crate::point_add::B; + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q944CatalyticKind { + X, + CX, + CCX, + CCZ, +} + +impl Q944CatalyticKind { + pub const ALL: [Self; 4] = [Self::X, Self::CX, Self::CCX, Self::CCZ]; + + pub const fn label(self) -> &'static str { + match self { + Self::X => "X", + Self::CX => "CX", + Self::CCX => "CCX", + Self::CCZ => "CCZ", + } + } + + pub const fn operand_count(self) -> usize { + match self { + Self::X => 1, + Self::CX => 2, + Self::CCX | Self::CCZ => 3, + } + } +} + +#[derive(Clone, Copy)] +pub enum Q944CatalyticPrimitive<'a> { + X(&'a QReg), + CX(&'a QReg, &'a QReg), + CCX(&'a QReg, &'a QReg, &'a QReg), + CCZ(&'a QReg, &'a QReg, &'a QReg), +} + +impl<'a> Q944CatalyticPrimitive<'a> { + pub const fn kind(self) -> Q944CatalyticKind { + match self { + Self::X(_) => Q944CatalyticKind::X, + Self::CX(_, _) => Q944CatalyticKind::CX, + Self::CCX(_, _, _) => Q944CatalyticKind::CCX, + Self::CCZ(_, _, _) => Q944CatalyticKind::CCZ, + } + } + + fn operands(self) -> Vec<&'a QReg> { + match self { + Self::X(target) => vec![target], + Self::CX(control, target) => vec![control, target], + Self::CCX(a, b, target) | Self::CCZ(a, b, target) => vec![a, b, target], + } + } +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct Q944CatalyticGateCounts { + pub x: usize, + pub cx: usize, + pub ccx: usize, + pub ccz: usize, + pub total: usize, + pub toffoli_class: usize, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct Q944CatalyticProxyReport { + pub primitives_rewritten: usize, + pub predicate_toggles: usize, + pub allocation_free_checks: usize, + pub dirty_restoration_obligations: usize, + pub lender_restoration_obligations: usize, + pub emitted: Q944CatalyticGateCounts, +} + +pub struct Q944CatalyticProxy<'a, 'q, F> +where + F: FnMut(&mut Circuit, &QReg), +{ + circ: &'a mut Circuit, + dirty: &'q QReg, + lender: &'q QReg, + toggle_predicate: F, + report: Q944CatalyticProxyReport, +} + +fn assert_distinct(roles: &[(&str, &QReg)]) { + for (index, (name, lane)) in roles.iter().enumerate() { + for (other_name, other) in &roles[..index] { + assert!( + lane.id() != other.id(), + "Q944 catalytic alias: {name} aliases {other_name}" + ); + } + } +} + +fn emit_controlled_by_dirty( + circ: &mut Circuit, + primitive: Q944CatalyticPrimitive<'_>, + dirty: &QReg, + lender: &QReg, +) { + match primitive { + Q944CatalyticPrimitive::X(target) => circ.cx(dirty, target), + Q944CatalyticPrimitive::CX(control, target) => circ.ccx(dirty, control, target), + Q944CatalyticPrimitive::CCX(a, b, target) => { + // Dirty-lender surrounded C^3X. The lender-dependent term occurs + // twice and cancels; d*a*b reaches the target exactly once. + circ.ccx(dirty, a, lender); + circ.ccx(lender, b, target); + circ.ccx(dirty, a, lender); + circ.ccx(lender, b, target); + } + Q944CatalyticPrimitive::CCZ(a, b, c) => { + // Phase analogue of the surrounded C^3X construction. The two + // lender*b*c phase terms cancel, leaving d*a*b*c. + circ.ccx(dirty, a, lender); + circ.ccz(lender, b, c); + circ.ccx(dirty, a, lender); + circ.ccz(lender, b, c); + } + } +} + +fn gate_counts_delta(before: [usize; 18], after: [usize; 18]) -> Q944CatalyticGateCounts { + let x = after[OperationType::X as usize] - before[OperationType::X as usize]; + let cx = after[OperationType::CX as usize] - before[OperationType::CX as usize]; + let ccx = after[OperationType::CCX as usize] - before[OperationType::CCX as usize]; + let ccz = after[OperationType::CCZ as usize] - before[OperationType::CCZ as usize]; + Q944CatalyticGateCounts { + x, + cx, + ccx, + ccz, + total: x + cx + ccx + ccz, + toffoli_class: ccx + ccz, + } +} + +impl<'a, 'q, F> Q944CatalyticProxy<'a, 'q, F> +where + F: FnMut(&mut Circuit, &QReg), +{ + pub fn new( + circ: &'a mut Circuit, + dirty: &'q QReg, + lender: &'q QReg, + toggle_predicate: F, + ) -> Self { + assert_distinct(&[("dirty", dirty), ("lender", lender)]); + Self { + circ, + dirty, + lender, + toggle_predicate, + report: Q944CatalyticProxyReport::default(), + } + } + + pub fn rewrite(&mut self, primitive: Q944CatalyticPrimitive<'_>) { + let operands = primitive.operands(); + let mut roles = vec![("dirty", self.dirty), ("lender", self.lender)]; + roles.extend(operands.iter().map(|lane| ("operand", *lane))); + assert_distinct(&roles); + + let allocation_serial = self.circ.b.allocation_serial; + let next_qubit = self.circ.b.next_qubit; + let active_qubits = self.circ.b.active_qubits; + let free_qubits = self.circ.b.free_qubits.clone(); + let before = self.circ.b.counted_kind_ops; + + emit_controlled_by_dirty(self.circ, primitive, self.dirty, self.lender); + (self.toggle_predicate)(self.circ, self.dirty); + emit_controlled_by_dirty(self.circ, primitive, self.dirty, self.lender); + (self.toggle_predicate)(self.circ, self.dirty); + + assert_eq!(self.circ.b.allocation_serial, allocation_serial); + assert_eq!(self.circ.b.next_qubit, next_qubit); + assert_eq!(self.circ.b.active_qubits, active_qubits); + assert_eq!(self.circ.b.free_qubits, free_qubits); + let delta = gate_counts_delta(before, self.circ.b.counted_kind_ops); + self.report.primitives_rewritten += 1; + self.report.predicate_toggles += 2; + self.report.allocation_free_checks += 1; + self.report.dirty_restoration_obligations += 1; + self.report.lender_restoration_obligations += usize::from(matches!( + primitive, + Q944CatalyticPrimitive::CCX(_, _, _) | Q944CatalyticPrimitive::CCZ(_, _, _) + )); + self.report.emitted.x += delta.x; + self.report.emitted.cx += delta.cx; + self.report.emitted.ccx += delta.ccx; + self.report.emitted.ccz += delta.ccz; + self.report.emitted.total += delta.total; + self.report.emitted.toffoli_class += delta.toffoli_class; + } + + pub const fn report(&self) -> Q944CatalyticProxyReport { + self.report + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q944ClassifiedPrimitive { + pub kind: Q944CatalyticKind, + pub operands: [QubitId; 3], + pub operand_count: usize, + /// Classical target changed by this involution. `CCZ` has no mutable + /// target and therefore records `NO_QUBIT`. + pub mutable_target: QubitId, +} + +impl Q944ClassifiedPrimitive { + pub fn operand_slice(&self) -> &[QubitId] { + &self.operands[..self.operand_count] + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub enum Q944CatalyticReject { + ClassicalCondition, + PredicateIsTarget, + PredicateControlledCczNeedsCzBase, + UnsupportedOperation(OperationType), +} + +impl Q944CatalyticReject { + pub const fn label(self) -> &'static str { + match self { + Self::ClassicalCondition => "classical-condition", + Self::PredicateIsTarget => "predicate-is-target", + Self::PredicateControlledCczNeedsCzBase => { + "predicate-controlled-ccz-needs-unsupported-cz-base" + } + Self::UnsupportedOperation(_) => "unsupported-operation", + } + } +} + +fn classified( + kind: Q944CatalyticKind, + operands: &[QubitId], + mutable_target: QubitId, +) -> Q944ClassifiedPrimitive { + let mut out = [NO_QUBIT; 3]; + out[..operands.len()].copy_from_slice(operands); + Q944ClassifiedPrimitive { + kind, + operands: out, + operand_count: operands.len(), + mutable_target, + } +} + +/// Convert one operation from the `active=1` body template into a supported +/// elementary base involution. The formal predicate may occur only as a +/// control; operations not mentioning it are still controlled catalytically. +pub fn q944_classify_template_op( + op: &Op, + formal_predicate: QubitId, +) -> Result { + if op.c_condition != NO_BIT { + return Err(Q944CatalyticReject::ClassicalCondition); + } + match op.kind { + OperationType::X => { + if op.q_target == formal_predicate { + Err(Q944CatalyticReject::PredicateIsTarget) + } else { + Ok(classified( + Q944CatalyticKind::X, + &[op.q_target], + op.q_target, + )) + } + } + OperationType::CX => { + if op.q_target == formal_predicate { + Err(Q944CatalyticReject::PredicateIsTarget) + } else if op.q_control1 == formal_predicate { + Ok(classified( + Q944CatalyticKind::X, + &[op.q_target], + op.q_target, + )) + } else { + Ok(classified( + Q944CatalyticKind::CX, + &[op.q_control1, op.q_target], + op.q_target, + )) + } + } + OperationType::CCX => { + if op.q_target == formal_predicate { + return Err(Q944CatalyticReject::PredicateIsTarget); + } + if op.q_control1 == formal_predicate { + Ok(classified( + Q944CatalyticKind::CX, + &[op.q_control2, op.q_target], + op.q_target, + )) + } else if op.q_control2 == formal_predicate { + Ok(classified( + Q944CatalyticKind::CX, + &[op.q_control1, op.q_target], + op.q_target, + )) + } else { + Ok(classified( + Q944CatalyticKind::CCX, + &[op.q_control2, op.q_control1, op.q_target], + op.q_target, + )) + } + } + OperationType::CCZ => { + if [op.q_control2, op.q_control1, op.q_target].contains(&formal_predicate) { + Err(Q944CatalyticReject::PredicateControlledCczNeedsCzBase) + } else { + Ok(classified( + Q944CatalyticKind::CCZ, + &[op.q_control2, op.q_control1, op.q_target], + NO_QUBIT, + )) + } + } + other => Err(Q944CatalyticReject::UnsupportedOperation(other)), + } +} + +/// Choose a catalytic dirty bit and a second restored dirty lender. Both are +/// long-lived candidates and must be disjoint from the primitive and every +/// predicate-comparator lane supplied in `forbidden`. +pub fn q944_select_catalytic_dirty_pair( + primitive: &Q944ClassifiedPrimitive, + candidates: &[QubitId], + forbidden: &[QubitId], +) -> Option<(QubitId, QubitId)> { + let usable = |candidate: QubitId| { + candidate != NO_QUBIT + && !primitive.operand_slice().contains(&candidate) + && !forbidden.contains(&candidate) + }; + for &dirty in candidates { + if !usable(dirty) { + continue; + } + for &lender in candidates { + if lender != dirty && usable(lender) { + return Some((dirty, lender)); + } + } + } + None +} + +/// Exact per-primitive cost when `f = !done AND (v Q944CatalyticGateCounts { + let x = 8 * width + 4; + let mut cx = 12 * width; + let mut ccx = 12 * width + 2; + let mut ccz = 0; + match kind { + Q944CatalyticKind::X => cx += 2, + Q944CatalyticKind::CX => ccx += 2, + Q944CatalyticKind::CCX => ccx += 8, + Q944CatalyticKind::CCZ => { + ccx += 4; + ccz += 4; + } + } + Q944CatalyticGateCounts { + x, + cx, + ccx, + ccz, + total: x + cx + ccx + ccz, + toffoli_class: ccx + ccz, + } +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944CatalyticProofReport { + pub algebra_cases_checked: usize, + pub direct_kinds_checked: usize, + pub direct_basis_states_checked: usize, + pub comparator_widths_checked: usize, + pub comparator_kind_width_pairs_checked: usize, + pub comparator_basis_states_checked: usize, + pub classical_output_checks: usize, + pub phase_checks: usize, + pub dirty_restoration_checks: usize, + pub lender_restoration_checks: usize, + pub operand_restoration_checks: usize, + pub allocation_free_streams_checked: usize, + pub phase_clean_classical_streams_checked: usize, + pub phase_sensitive_streams_checked: usize, + pub direct_counts: Vec<(Q944CatalyticKind, Q944CatalyticGateCounts)>, + pub comparator_counts: Vec<(usize, Q944CatalyticKind, Q944CatalyticGateCounts)>, +} + +fn apply_scalar_phase(ops: &[Op], mut state: u64) -> (u64, bool) { + let bit = |word: u64, id: QubitId| ((word >> id.0) & 1) != 0; + let mut phase = false; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1) && bit(state, op.q_control2) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCZ => { + if bit(state, op.q_control1) + && bit(state, op.q_control2) + && bit(state, op.q_target) + { + phase = !phase; + } + } + other => panic!("Q944 catalytic proof saw unsupported gate {other:?}"), + } + } + (state, phase) +} + +fn total_gate_counts(builder: &B) -> Q944CatalyticGateCounts { + gate_counts_delta([0; 18], builder.counted_kind_ops) +} + +struct DirectHarness { + builder: B, + proxy: Q944CatalyticProxyReport, +} + +fn build_direct_harness(kind: Q944CatalyticKind) -> DirectHarness { + let mut circ = Circuit::new(); + let predicate = circ.alloc_qreg("q944.catalytic.f"); + let dirty = circ.alloc_qreg("q944.catalytic.d"); + let lender = circ.alloc_qreg("q944.catalytic.psi"); + let lanes = circ.alloc_qreg_bits("q944.catalytic.g", 3); + let primitive = match kind { + Q944CatalyticKind::X => Q944CatalyticPrimitive::X(&lanes[0]), + Q944CatalyticKind::CX => Q944CatalyticPrimitive::CX(&lanes[0], &lanes[1]), + Q944CatalyticKind::CCX => { + Q944CatalyticPrimitive::CCX(&lanes[0], &lanes[1], &lanes[2]) + } + Q944CatalyticKind::CCZ => { + Q944CatalyticPrimitive::CCZ(&lanes[0], &lanes[1], &lanes[2]) + } + }; + let mut proxy = Q944CatalyticProxy::new(&mut circ, &dirty, &lender, |circ, dirty| { + circ.cx(&predicate, dirty); + }); + proxy.rewrite(primitive); + let proxy_report = proxy.report(); + drop(proxy); + let builder = circ.into_builder(); + assert_eq!(builder.next_qubit, 6); + assert_eq!(builder.active_qubits, 6); + assert_eq!(builder.peak_qubits, 6); + drop((predicate, dirty, lender, lanes)); + DirectHarness { + builder, + proxy: proxy_report, + } +} + +struct ComparatorHarness { + builder: B, + proxy: Q944CatalyticProxyReport, +} + +fn build_comparator_harness(width: usize, kind: Q944CatalyticKind) -> ComparatorHarness { + let mut circ = Circuit::new(); + let done = circ.alloc_qreg("q944.catalytic.done"); + let dirty = circ.alloc_qreg("q944.catalytic.d"); + let parity = circ.alloc_qreg("q944.catalytic.parity"); + let lender = circ.alloc_qreg("q944.catalytic.psi"); + let v = circ.alloc_qreg_bits("q944.catalytic.v", width); + let u = circ.alloc_qreg_bits("q944.catalytic.u", width); + let lanes = circ.alloc_qreg_bits("q944.catalytic.g", 3); + let vr: Vec<&QReg> = v.iter().collect(); + let ur: Vec<&QReg> = u.iter().collect(); + let primitive = match kind { + Q944CatalyticKind::X => Q944CatalyticPrimitive::X(&lanes[0]), + Q944CatalyticKind::CX => Q944CatalyticPrimitive::CX(&lanes[0], &lanes[1]), + Q944CatalyticKind::CCX => { + Q944CatalyticPrimitive::CCX(&lanes[0], &lanes[1], &lanes[2]) + } + Q944CatalyticKind::CCZ => { + Q944CatalyticPrimitive::CCZ(&lanes[0], &lanes[1], &lanes[2]) + } + }; + let mut proxy = Q944CatalyticProxy::new(&mut circ, &dirty, &lender, |circ, dirty| { + circ.x(&done); + strict_compare_gated_dirty_carry_refs(circ, &vr, &ur, &done, dirty, &parity); + circ.x(&done); + }); + proxy.rewrite(primitive); + let proxy_report = proxy.report(); + drop(proxy); + let inputs = 2 * width + 7; + let builder = circ.into_builder(); + assert_eq!(builder.next_qubit as usize, inputs); + assert_eq!(builder.active_qubits as usize, inputs); + assert_eq!(builder.peak_qubits as usize, inputs); + drop((vr, ur)); + drop((done, dirty, parity, lender, v, u, lanes)); + ComparatorHarness { + builder, + proxy: proxy_report, + } +} + +fn expected_effect(kind: Q944CatalyticKind, state: u64, predicate: bool, lane_base: usize) -> (u64, bool) { + let bit = |index: usize| ((state >> index) & 1) != 0; + let a = bit(lane_base); + let b = bit(lane_base + 1); + let c = bit(lane_base + 2); + let mut output = state; + let mut phase = false; + if predicate { + match kind { + Q944CatalyticKind::X => output ^= 1u64 << lane_base, + Q944CatalyticKind::CX if a => output ^= 1u64 << (lane_base + 1), + Q944CatalyticKind::CCX if a && b => output ^= 1u64 << (lane_base + 2), + Q944CatalyticKind::CCZ if a && b && c => phase = true, + _ => {} + } + } + (output, phase) +} + +/// Exhaustive algebra, classical-output, phase, dirty-lane, lender, operand, +/// and allocation checks for direct and comparator-derived predicates. +#[must_use] +pub fn exhaustive_q944_dirty_catalytic_predicate_check() -> Q944CatalyticProofReport { + let mut algebra_cases_checked = 0; + for f in [false, true] { + for d in [false, true] { + assert_eq!(d ^ (d ^ f), f); + assert_eq!(d ^ f ^ f, d); + algebra_cases_checked += 2; + } + } + + let mut direct_basis_states_checked = 0usize; + let mut comparator_basis_states_checked = 0usize; + let mut classical_output_checks = 0usize; + let mut phase_checks = 0usize; + let mut dirty_restoration_checks = 0usize; + let mut lender_restoration_checks = 0usize; + let mut operand_restoration_checks = 0usize; + let mut direct_counts = Vec::new(); + let mut comparator_counts = Vec::new(); + + for kind in Q944CatalyticKind::ALL { + let harness = build_direct_harness(kind); + assert_eq!(harness.proxy.primitives_rewritten, 1); + assert_eq!(harness.proxy.predicate_toggles, 2); + for state in 0..(1u64 << 6) { + let predicate = state & 1 != 0; + let expected = expected_effect(kind, state, predicate, 3); + let actual = apply_scalar_phase(&harness.builder.ops, state); + assert_eq!(actual, expected, "direct kind={kind:?} state={state:#x}"); + direct_basis_states_checked += 1; + classical_output_checks += 1; + phase_checks += 1; + dirty_restoration_checks += usize::from(((actual.0 >> 1) & 1) == ((state >> 1) & 1)); + lender_restoration_checks += usize::from(((actual.0 >> 2) & 1) == ((state >> 2) & 1)); + // The full `(state, phase)` equality above checks controls, + // targets, unused lanes, and both dirty lanes simultaneously. + operand_restoration_checks += 1; + } + direct_counts.push((kind, total_gate_counts(&harness.builder))); + } + + for width in 1..=3 { + for kind in Q944CatalyticKind::ALL { + let harness = build_comparator_harness(width, kind); + assert_eq!(harness.proxy.primitives_rewritten, 1); + assert_eq!(harness.proxy.predicate_toggles, 2); + let inputs = 2 * width + 7; + let mask = (1u64 << width) - 1; + let lane_base = 4 + 2 * width; + for state in 0..(1u64 << inputs) { + let done = state & 1 != 0; + let v = (state >> 4) & mask; + let u = (state >> (4 + width)) & mask; + let predicate = !done && v < u; + let expected = expected_effect(kind, state, predicate, lane_base); + let actual = apply_scalar_phase(&harness.builder.ops, state); + assert_eq!( + actual, expected, + "comparator width={width} kind={kind:?} state={state:#x}" + ); + comparator_basis_states_checked += 1; + classical_output_checks += 1; + phase_checks += 1; + dirty_restoration_checks += + usize::from(((actual.0 >> 1) & 1) == ((state >> 1) & 1)); + lender_restoration_checks += + usize::from(((actual.0 >> 3) & 1) == ((state >> 3) & 1)); + operand_restoration_checks += 1; + } + let counts = total_gate_counts(&harness.builder); + assert_eq!(counts, q944_catalytic_cost(width, kind)); + comparator_counts.push((width, kind, counts)); + } + } + + let all_states = direct_basis_states_checked + comparator_basis_states_checked; + assert_eq!(classical_output_checks, all_states); + assert_eq!(phase_checks, all_states); + assert_eq!(dirty_restoration_checks, all_states); + assert_eq!(lender_restoration_checks, all_states); + assert_eq!(operand_restoration_checks, all_states); + Q944CatalyticProofReport { + algebra_cases_checked, + direct_kinds_checked: direct_counts.len(), + direct_basis_states_checked, + comparator_widths_checked: 3, + comparator_kind_width_pairs_checked: comparator_counts.len(), + comparator_basis_states_checked, + classical_output_checks, + phase_checks, + dirty_restoration_checks, + lender_restoration_checks, + operand_restoration_checks, + allocation_free_streams_checked: direct_counts.len() + comparator_counts.len(), + phase_clean_classical_streams_checked: 3 * 4, + phase_sensitive_streams_checked: 4, + direct_counts, + comparator_counts, + } +} diff --git a/src/point_add/trailmix_port/inversion/q944_dirty_parity_microkernels.rs b/src/point_add/trailmix_port/inversion/q944_dirty_parity_microkernels.rs new file mode 100644 index 00000000..e1ceb649 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q944_dirty_parity_microkernels.rs @@ -0,0 +1,679 @@ +//! Standalone allocation-free arithmetic using one arbitrary dirty carry lane. +//! +//! This module is deliberately not connected to the PZ route. It isolates the +//! gate identities needed to decide whether a dirty parity lane could replace +//! the clean Q945 arithmetic carry. Every lender is restored exactly. + +use crate::circuit::{Op, OperationType}; +use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use crate::point_add::trailmix_port::inversion::q945_local_hosts::Q945_NON_HCLZ_ROWS; +use crate::point_add::trailmix_port::inversion::q949_robust_envelope::{ + q949_robust_clz_lows, q949_robust_pair_symmetric_widths, +}; +use crate::point_add::B; + +fn assert_distinct(roles: &[(&str, &QReg)]) { + for (i, (left_name, left)) in roles.iter().enumerate() { + for (right_name, right) in &roles[..i] { + assert!( + !std::ptr::eq(*left, *right), + "Q944 dirty-parity alias: {left_name} aliases {right_name}" + ); + } + } +} + +fn assert_arithmetic_layout(gate: &QReg, carry: &QReg, a: &[&QReg], b: &[&QReg]) { + assert_eq!(a.len(), b.len(), "Q944 dirty-parity width mismatch"); + let mut roles = Vec::with_capacity(2 + a.len() + b.len()); + roles.push(("gate", gate)); + roles.push(("carry", carry)); + roles.extend(a.iter().map(|&q| ("a", q))); + roles.extend(b.iter().map(|&q| ("b", q))); + assert_distinct(&roles); +} + +/// Literal controlled Cuccaro ripple with the caller's arbitrary carry `d`. +/// +/// Gate-by-gate, one bit maps incoming carry `k` to +/// `MAJ(a_i,b_i,k)`. The reverse pass restores `d`, `b`, and `gate`, while +/// producing +/// +/// `a -> a + gate * (b + d) (mod 2^n)`. +/// +/// This raw identity is exposed only so the independent proof binary can test +/// the research claim directly. Full-route code must use the corrected forms. +#[doc(hidden)] +pub fn controlled_add_dirty_carry_raw_refs( + circ: &mut Circuit, + gate: &QReg, + carry: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + assert_arithmetic_layout(gate, carry, a, b); + for i in 0..a.len() { + circ.cx(carry, b[i]); + circ.cx(carry, a[i]); + circ.ccx(a[i], b[i], carry); + } + for i in (0..a.len()).rev() { + circ.ccx(a[i], b[i], carry); + circ.cx(carry, a[i]); + circ.ccx(gate, b[i], a[i]); + circ.cx(carry, b[i]); + } +} + +/// Toggle `a -= gate*carry (mod 2^n)` with `b` as restored dirty lenders. +fn controlled_decrement_dirty_lenders( + circ: &mut Circuit, + gate: &QReg, + carry: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + // High-to-low order leaves every lower bit at its pre-decrement value. + for j in (0..a.len()).rev() { + for &q in &a[..j] { + circ.x(q); + } + let mut controls = Vec::with_capacity(j + 2); + controls.extend([gate, carry]); + controls.extend_from_slice(&a[..j]); + mcx_dirty_ladder(circ, &controls, a[j], &b[..j]); + for &q in a[..j].iter().rev() { + circ.x(q); + } + } +} + +/// Toggle `a += gate*carry (mod 2^n)` with `b` as restored dirty lenders. +fn controlled_increment_dirty_lenders( + circ: &mut Circuit, + gate: &QReg, + carry: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + // High-to-low order leaves every lower bit at its pre-increment value. + for j in (0..a.len()).rev() { + let mut controls = Vec::with_capacity(j + 2); + controls.extend([gate, carry]); + controls.extend_from_slice(&a[..j]); + mcx_dirty_ladder(circ, &controls, a[j], &b[..j]); + } +} + +/// Allocation-free corrected controlled addition with arbitrary dirty carry. +/// +/// Semantics: `a -> a + gate*b (mod 2^n)`. `gate`, `carry`, and every `b` +/// lender are restored. The raw ripple contributes `gate*carry`, which the +/// final controlled decrement removes. +pub fn controlled_add_dirty_carry_refs( + circ: &mut Circuit, + gate: &QReg, + carry: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + let section = circ.push_section("q944.dirty-carry-add"); + controlled_add_dirty_carry_raw_refs(circ, gate, carry, a, b); + controlled_decrement_dirty_lenders(circ, gate, carry, a, b); + circ.pop_section(§ion); +} + +/// Allocation-free corrected controlled subtraction with arbitrary dirty carry. +/// +/// The X-bracketed raw ripple gives `a - gate*(b+carry)`. The final controlled +/// increment removes the `-gate*carry` term. All non-target lanes are restored. +pub fn controlled_sub_dirty_carry_refs( + circ: &mut Circuit, + gate: &QReg, + carry: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + let section = circ.push_section("q944.dirty-carry-sub"); + assert_arithmetic_layout(gate, carry, a, b); + for &q in a { + circ.x(q); + } + controlled_add_dirty_carry_raw_refs(circ, gate, carry, a, b); + for &q in a { + circ.x(q); + } + controlled_increment_dirty_lenders(circ, gate, carry, a, b); + circ.pop_section(§ion); +} + +fn assert_comparator_layout( + gate: &QReg, + carry: &QReg, + v: &[&QReg], + u: &[&QReg], + out: &QReg, +) { + assert!(!v.is_empty(), "Q944 dirty-parity comparator requires n >= 1"); + assert_eq!(v.len(), u.len(), "Q944 dirty-parity comparator width mismatch"); + let mut roles = Vec::with_capacity(3 + v.len() + u.len()); + roles.extend([("gate", gate), ("carry", carry), ("out", out)]); + roles.extend(v.iter().map(|&q| ("v", q))); + roles.extend(u.iter().map(|&q| ("u", q))); + assert_distinct(&roles); +} + +/// Raw gated strict comparator with arbitrary dirty carry. +/// +/// The final carry of `u + !v + d` is +/// `[v, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944StructuralReport { + pub rows_checked: usize, + pub emitted_streams_checked: usize, + pub phase_clean_gate_streams_checked: usize, + pub allocation_free_gate_streams_checked: usize, + pub rows: Vec, +} + +#[must_use] +pub const fn q944_correction_toffoli(width: usize) -> usize { + 2 * width * width - 2 * width + 1 +} + +#[must_use] +pub const fn q944_add_counts(width: usize) -> Q944GateCounts { + let ccx = 3 * width + q944_correction_toffoli(width); + let x = width * (width - 1); + let cx = 4 * width; + Q944GateCounts { + x, + cx, + ccx, + total: x + cx + ccx, + } +} + +#[must_use] +pub const fn q944_sub_counts(width: usize) -> Q944GateCounts { + let ccx = 3 * width + q944_correction_toffoli(width); + let x = 2 * width; + let cx = 4 * width; + Q944GateCounts { + x, + cx, + ccx, + total: x + cx + ccx, + } +} + +#[must_use] +pub const fn q944_strict_compare_counts(width: usize) -> Q944GateCounts { + let x = 4 * width; + let cx = 6 * width; + let ccx = 6 * width + 1; + Q944GateCounts { + x, + cx, + ccx, + total: x + cx + ccx, + } +} + +fn gate_counts(ops: &[Op]) -> Q944GateCounts { + let mut counts = Q944GateCounts::default(); + for op in ops { + match op.kind { + OperationType::X => counts.x += 1, + OperationType::CX => counts.cx += 1, + OperationType::CCX => counts.ccx += 1, + other => panic!("Q944 microkernel emitted phase/non-classical gate {other:?}"), + } + } + counts.total = ops.len(); + assert_eq!(counts.total, counts.x + counts.cx + counts.ccx); + counts +} + +#[derive(Clone, Copy)] +enum ArithmeticKind { + RawAdd, + Add, + Sub, +} + +fn build_arithmetic(width: usize, kind: ArithmeticKind) -> B { + let mut circ = Circuit::new(); + let gate = circ.alloc_qreg("q944.gate"); + let carry = circ.alloc_qreg("q944.dirty-parity"); + let a = circ.alloc_qreg_bits("q944.a", width); + let b = circ.alloc_qreg_bits("q944.b", width); + let ar: Vec<&QReg> = a.iter().collect(); + let br: Vec<&QReg> = b.iter().collect(); + match kind { + ArithmeticKind::RawAdd => { + controlled_add_dirty_carry_raw_refs(&mut circ, &gate, &carry, &ar, &br) + } + ArithmeticKind::Add => { + controlled_add_dirty_carry_refs(&mut circ, &gate, &carry, &ar, &br) + } + ArithmeticKind::Sub => { + controlled_sub_dirty_carry_refs(&mut circ, &gate, &carry, &ar, &br) + } + } + let builder = circ.into_builder(); + let input_qubits = 2 * width + 2; + assert_eq!(builder.next_qubit as usize, input_qubits); + assert_eq!(builder.active_qubits as usize, input_qubits); + assert_eq!(builder.peak_qubits as usize, input_qubits); + drop((ar, br)); + drop((gate, carry, a, b)); + builder +} + +fn build_comparator(width: usize, raw: bool) -> B { + let mut circ = Circuit::new(); + let gate = circ.alloc_qreg("q944.gate"); + let carry = circ.alloc_qreg("q944.dirty-parity"); + let v = circ.alloc_qreg_bits("q944.v", width); + let u = circ.alloc_qreg_bits("q944.u", width); + let out = circ.alloc_qreg("q944.out"); + let vr: Vec<&QReg> = v.iter().collect(); + let ur: Vec<&QReg> = u.iter().collect(); + if raw { + strict_compare_gated_dirty_carry_raw_refs( + &mut circ, &vr, &ur, &gate, &out, &carry, + ); + } else { + strict_compare_gated_dirty_carry_refs(&mut circ, &vr, &ur, &gate, &out, &carry); + } + let builder = circ.into_builder(); + let input_qubits = 2 * width + 3; + assert_eq!(builder.next_qubit as usize, input_qubits); + assert_eq!(builder.active_qubits as usize, input_qubits); + assert_eq!(builder.peak_qubits as usize, input_qubits); + drop((vr, ur)); + drop((gate, carry, v, u, out)); + builder +} + +fn apply_scalar(ops: &[Op], mut state: u64) -> u64 { + let bit = |word: u64, id: u64| ((word >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + other => panic!("Q944 scalar proof saw unexpected gate {other:?}"), + } + } + state +} + +/// Bind the raw comparator to the exact existing MAJ/un-MAJ cascade. This +/// shape check runs before any semantic interpretation and rejects accidental +/// reuse of the physical carry beyond bit zero. +fn assert_raw_comparator_gate_shape(ops: &[Op], width: usize) { + let gate = 0u64; + let carry = 1u64; + let v = |i: usize| 2 + i as u64; + let u = |i: usize| 2 + width as u64 + i as u64; + let out = 2 + 2 * width as u64; + let mut cursor = 0usize; + + let next_x = |cursor: &mut usize, target: u64| { + let op = &ops[*cursor]; + assert_eq!((op.kind, op.q_target.0), (OperationType::X, target)); + *cursor += 1; + }; + let next_cx = |cursor: &mut usize, control: u64, target: u64| { + let op = &ops[*cursor]; + assert_eq!( + (op.kind, op.q_control1.0, op.q_target.0), + (OperationType::CX, control, target) + ); + *cursor += 1; + }; + let next_ccx = |cursor: &mut usize, control1: u64, control2: u64, target: u64| { + let op = &ops[*cursor]; + assert_eq!( + ( + op.kind, + op.q_control2.0, + op.q_control1.0, + op.q_target.0, + ), + (OperationType::CCX, control1, control2, target) + ); + *cursor += 1; + }; + + for i in 0..width { + next_x(&mut cursor, v(i)); + } + next_cx(&mut cursor, v(0), u(0)); + next_cx(&mut cursor, v(0), carry); + next_ccx(&mut cursor, carry, u(0), v(0)); + for i in 1..width { + next_cx(&mut cursor, v(i), u(i)); + next_cx(&mut cursor, v(i), v(i - 1)); + next_ccx(&mut cursor, v(i - 1), u(i), v(i)); + } + next_ccx(&mut cursor, gate, v(width - 1), out); + for i in (1..width).rev() { + next_ccx(&mut cursor, v(i - 1), u(i), v(i)); + next_cx(&mut cursor, v(i), v(i - 1)); + next_cx(&mut cursor, v(i), u(i)); + } + next_ccx(&mut cursor, carry, u(0), v(0)); + next_cx(&mut cursor, v(0), carry); + next_cx(&mut cursor, v(0), u(0)); + for i in 0..width { + next_x(&mut cursor, v(i)); + } + assert_eq!(cursor, ops.len()); +} + +fn check_arithmetic_basis(width: usize, builder: &B, kind: ArithmeticKind) -> usize { + let states = 1usize << (2 * width + 2); + let mask = (1u64 << width) - 1; + for input in 0..states as u64 { + let gate = input & 1; + let carry = (input >> 1) & 1; + let a = (input >> 2) & mask; + let b = (input >> (width + 2)) & mask; + let output = apply_scalar(&builder.ops, input); + let got_gate = output & 1; + let got_carry = (output >> 1) & 1; + let got_a = (output >> 2) & mask; + let got_b = (output >> (width + 2)) & mask; + let want_a = match kind { + ArithmeticKind::RawAdd if gate != 0 => a.wrapping_add(b + carry) & mask, + ArithmeticKind::Add if gate != 0 => a.wrapping_add(b) & mask, + ArithmeticKind::Sub if gate != 0 => a.wrapping_sub(b) & mask, + _ => a, + }; + assert_eq!((got_gate, got_carry), (gate, carry)); + assert_eq!(got_b, b, "width={width}: dirty lender changed"); + assert_eq!(got_a, want_a, "width={width} input={input:#x}"); + } + states +} + +fn check_comparator_basis(width: usize, builder: &B, raw: bool) -> usize { + let states = 1usize << (2 * width + 3); + let mask = (1u64 << width) - 1; + for input in 0..states as u64 { + let gate = input & 1; + let carry = (input >> 1) & 1; + let v = (input >> 2) & mask; + let u = (input >> (width + 2)) & mask; + let out = (input >> (2 * width + 2)) & 1; + let output = apply_scalar(&builder.ops, input); + let got_gate = output & 1; + let got_carry = (output >> 1) & 1; + let got_v = (output >> 2) & mask; + let got_u = (output >> (width + 2)) & mask; + let got_out = (output >> (2 * width + 2)) & 1; + let strict = u64::from(v < u); + let equal_error = carry & u64::from(v == u); + let predicate = if raw { strict ^ equal_error } else { strict }; + let want_out = out ^ (gate & predicate); + assert_eq!((got_gate, got_carry), (gate, carry)); + assert_eq!((got_v, got_u), (v, u), "width={width}: operand changed"); + assert_eq!(got_out, want_out, "width={width} input={input:#x}"); + } + states +} + +/// Exhaustive scalar interpretation over all basis states for widths 1..=5. +#[must_use] +pub fn exhaustive_q944_dirty_parity_microkernels_check() -> Q944ExhaustiveReport { + let mut raw_add_states_checked = 0; + let mut corrected_add_states_checked = 0; + let mut corrected_sub_states_checked = 0; + let mut raw_compare_states_checked = 0; + let mut corrected_compare_states_checked = 0; + let mut width_counts = Vec::new(); + + for width in 1..=5 { + let raw_add = build_arithmetic(width, ArithmeticKind::RawAdd); + let add = build_arithmetic(width, ArithmeticKind::Add); + let sub = build_arithmetic(width, ArithmeticKind::Sub); + let raw_compare = build_comparator(width, true); + let strict_compare = build_comparator(width, false); + + assert_raw_comparator_gate_shape(&raw_compare.ops, width); + raw_add_states_checked += check_arithmetic_basis(width, &raw_add, ArithmeticKind::RawAdd); + corrected_add_states_checked += check_arithmetic_basis(width, &add, ArithmeticKind::Add); + corrected_sub_states_checked += check_arithmetic_basis(width, &sub, ArithmeticKind::Sub); + raw_compare_states_checked += check_comparator_basis(width, &raw_compare, true); + corrected_compare_states_checked += check_comparator_basis(width, &strict_compare, false); + + let add_counts = gate_counts(&add.ops); + let sub_counts = gate_counts(&sub.ops); + let compare_counts = gate_counts(&strict_compare.ops); + assert_eq!(gate_counts(&raw_add.ops), Q944GateCounts { + x: 0, + cx: 4 * width, + ccx: 3 * width, + total: 7 * width, + }); + assert_eq!(gate_counts(&raw_compare.ops), Q944GateCounts { + x: 2 * width, + cx: 4 * width, + ccx: 2 * width + 1, + total: 8 * width + 1, + }); + assert_eq!(add_counts, q944_add_counts(width)); + assert_eq!(sub_counts, q944_sub_counts(width)); + assert_eq!(compare_counts, q944_strict_compare_counts(width)); + width_counts.push(Q944WidthCounts { + width, + add: add_counts, + sub: sub_counts, + strict_compare: compare_counts, + }); + } + + Q944ExhaustiveReport { + widths_checked: width_counts.len(), + raw_compare_gate_shape_checks: width_counts.len(), + raw_add_states_checked, + corrected_add_states_checked, + corrected_sub_states_checked, + raw_compare_states_checked, + corrected_compare_states_checked, + phase_clean_gate_streams_checked: 5 * 5, + allocation_free_gate_streams_checked: 5 * 5, + width_counts, + } +} + +fn checked_arithmetic_counts(width: usize, kind: ArithmeticKind) -> Q944GateCounts { + let builder = build_arithmetic(width, kind); + let counts = gate_counts(&builder.ops); + match kind { + ArithmeticKind::RawAdd => unreachable!("structural check does not use raw add"), + ArithmeticKind::Add => assert_eq!(counts, q944_add_counts(width)), + ArithmeticKind::Sub => assert_eq!(counts, q944_sub_counts(width)), + } + counts +} + +fn checked_compare_counts(width: usize) -> Q944GateCounts { + let builder = build_comparator(width, false); + let counts = gate_counts(&builder.ops); + assert_eq!(counts, q944_strict_compare_counts(width)); + counts +} + +/// Emit and count every arithmetic width occurring at the seven Q945 peak rows. +/// This is a structural microkernel check only; it does not integrate a route. +#[must_use] +pub fn q944_q945_peak_width_emission_check() -> Q944StructuralReport { + const EXPECTED: [(usize, usize, usize, usize, usize); 7] = [ + (363, 81, 248, 80, 77), + (364, 81, 248, 80, 74), + (374, 74, 254, 74, 76), + (375, 73, 255, 73, 76), + (376, 73, 255, 73, 76), + (379, 72, 256, 72, 77), + (380, 72, 256, 72, 77), + ]; + assert_eq!(Q945_NON_HCLZ_ROWS, EXPECTED.map(|entry| entry.0)); + + let mut rows = Vec::new(); + for &(row, div_width, mul_width, div_cmp_width, mul_cmp_width) in &EXPECTED { + let widths = q949_robust_pair_symmetric_widths(row); + let lows = q949_robust_clz_lows(row); + assert_eq!((widths[0], widths[2]), (div_width, mul_width)); + assert_eq!(widths[0] - lows[0], div_cmp_width); + assert_eq!(widths[2] - lows[2], mul_cmp_width); + + rows.push(Q944PeakRowCounts { + row, + division_arithmetic_width: div_width, + multiply_arithmetic_width: mul_width, + division_compare_width: div_cmp_width, + multiply_compare_width: mul_cmp_width, + division_add: checked_arithmetic_counts(div_width, ArithmeticKind::Add), + division_sub: checked_arithmetic_counts(div_width, ArithmeticKind::Sub), + multiply_add: checked_arithmetic_counts(mul_width, ArithmeticKind::Add), + multiply_sub: checked_arithmetic_counts(mul_width, ArithmeticKind::Sub), + division_compare: checked_compare_counts(div_cmp_width), + multiply_compare: checked_compare_counts(mul_cmp_width), + }); + } + + let emitted_streams_checked = rows.len() * 6; + Q944StructuralReport { + rows_checked: rows.len(), + emitted_streams_checked, + phase_clean_gate_streams_checked: emitted_streams_checked, + allocation_free_gate_streams_checked: emitted_streams_checked, + rows, + } +} diff --git a/src/point_add/trailmix_port/inversion/q944_full_structural.rs b/src/point_add/trailmix_port/inversion/q944_full_structural.rs new file mode 100644 index 00000000..0051da92 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q944_full_structural.rs @@ -0,0 +1,104 @@ +//! Closed production route table for the structural Q944 integration. +//! +//! Nine classes use paired support-zero lanes proved by WMICluster job 71935. +//! The five division classes without such a host use the quotient-witness +//! construction proved by job 71968. No class may silently fall back. + +use super::q945_local_hosts::{Q945Host, Q945StateRegister, Q945Substep, Q945_NON_HCLZ_ROWS}; + +pub const Q944_GATE_HOST_CENSUS_COMMIT: &str = + "9ee33567e2a4e20176300ede56ad01b3bf86fcab"; +pub const Q944_GATE_HOST_CENSUS_TREE: &str = + "46a78e5c5141fe3b1f169c739b699b18946c6015"; +pub const Q944_GATE_HOST_CENSUS_JOB: usize = 71_935; +pub const Q944_QUOTIENT_WITNESS_COMMIT: &str = + "1817f74f2fae27d622b46151fef45cf68acc0902"; +pub const Q944_QUOTIENT_WITNESS_TREE: &str = + "f5aad72a891e404006a929d853bdc45441aca866"; +pub const Q944_QUOTIENT_WITNESS_JOB: usize = 71_968; +pub const Q944_QUOTIENT_WITNESS_BLOB: &str = + "be5c4e15916eea2121fc120809dead8e0fbfd0a3"; +pub const Q944_ORDINARY_CLASSES: usize = 9; +pub const Q944_QUOTIENT_CLASSES: usize = 5; +pub const Q944_ORDINARY_SITES: usize = 36; +pub const Q944_QUOTIENT_SITES: usize = 20; +pub const Q944_TOTAL_SITES: usize = Q944_ORDINARY_SITES + Q944_QUOTIENT_SITES; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub enum Q944FullGateRoute { + Ordinary { host: Q945Host, peer: Q945Host }, + QuotientWitness, +} + +#[must_use] +pub fn q944_full_gate_route(row: usize, substep: Q945Substep) -> Q944FullGateRoute { + use Q945StateRegister::{A, B, Ca, Cb}; + let pair = |host, host_bit, peer, peer_bit| Q944FullGateRoute::Ordinary { + host: Q945Host::new(host, host_bit), + peer: Q945Host::new(peer, peer_bit), + }; + match (row, substep) { + (363, Q945Substep::Division) => pair(Ca, 246, Cb, 246), + (363, Q945Substep::Multiply) => pair(A, 80, B, 80), + (364, Q945Substep::Division) => pair(Ca, 246, Cb, 246), + (364, Q945Substep::Multiply) => pair(B, 80, A, 80), + (374, Q945Substep::Division) + | (375, Q945Substep::Division) + | (376, Q945Substep::Division) + | (379, Q945Substep::Division) + | (380, Q945Substep::Division) => Q944FullGateRoute::QuotientWitness, + (374, Q945Substep::Multiply) => pair(B, 73, A, 73), + (375, Q945Substep::Multiply) => pair(A, 72, B, 72), + (376, Q945Substep::Multiply) => pair(B, 72, A, 72), + (379, Q945Substep::Multiply) => pair(B, 71, A, 71), + (380, Q945Substep::Multiply) => pair(B, 71, A, 71), + _ => panic!( + "unclassified Q944 full structural class row={row} substep={}", + substep.label() + ), + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q944FullStaticReport { + pub rows: usize, + pub classes: usize, + pub ordinary_classes: usize, + pub quotient_classes: usize, + pub ordinary_sites: usize, + pub quotient_sites: usize, + pub total_sites: usize, +} + +#[must_use] +pub fn assert_q944_full_static_route() -> Q944FullStaticReport { + let mut ordinary = 0usize; + let mut quotient = 0usize; + for row in Q945_NON_HCLZ_ROWS { + for substep in Q945Substep::ALL { + match q944_full_gate_route(row, substep) { + Q944FullGateRoute::Ordinary { host, peer } => { + assert_eq!(host.bit, peer.bit); + assert_ne!(host.register, peer.register); + ordinary += 1; + } + Q944FullGateRoute::QuotientWitness => { + assert_eq!(substep, Q945Substep::Division); + assert!([374, 375, 376, 379, 380].contains(&row)); + quotient += 1; + } + } + } + } + assert_eq!(ordinary, Q944_ORDINARY_CLASSES); + assert_eq!(quotient, Q944_QUOTIENT_CLASSES); + Q944FullStaticReport { + rows: Q945_NON_HCLZ_ROWS.len(), + classes: ordinary + quotient, + ordinary_classes: ordinary, + quotient_classes: quotient, + ordinary_sites: 4 * ordinary, + quotient_sites: 4 * quotient, + total_sites: 4 * (ordinary + quotient), + } +} diff --git a/src/point_add/trailmix_port/inversion/q944_gate_host_feasibility.rs b/src/point_add/trailmix_port/inversion/q944_gate_host_feasibility.rs new file mode 100644 index 00000000..4f2faaa2 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q944_gate_host_feasibility.rs @@ -0,0 +1,782 @@ +//! Exact-support feasibility census for hosting the persistent Q945 gate. +//! +//! A feasible host is one lane of the outer comparison pair. The host and its +//! paired bit are omitted from that comparison, so both must be zero at gate +//! entry and after the controlled body on every committed support point. The +//! host itself must also be absent from every body action. The body may still +//! use the paired lane, provided it restores it. + +use alloy_primitives::U256; +use std::cmp::Ordering; +use std::collections::BTreeMap; + +use super::q945_local_hosts::{ + q945_carry_route, Q945CarryRoute, Q945Host, Q945StateRegister, Q945Substep, + Q945_NON_HCLZ_ROWS, +}; +use super::q949_robust_envelope::q949_robust_pair_symmetric_widths; +use super::shrunken_pz_schedule::{ + Q944GateCallObservation, Q945HostBoundaryState, Q949TraceDirection, +}; +use crate::point_add::trailmix_port::Q945SupportPhase; + +pub const Q944_GATE_HOST_CLASSES: usize = 14; +pub const Q944_GATE_HOST_SITES: usize = 56; + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub struct Q944GateHostSite { + pub phase: Q945SupportPhase, + pub direction: Q949TraceDirection, + pub row: usize, + pub substep: Q945Substep, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944GateHostSiteReport { + pub site: Q944GateHostSite, + pub checks: usize, + pub gate_predicate_checks: usize, + pub stable_outer_relation_checks: usize, + pub forward_reverse_symmetry_checks: usize, + pub host: Option, + pub peer: Option, + pub zero_entry_checks: usize, + pub zero_exit_checks: usize, + pub restoration_checks: usize, + pub operand_disjoint_checks: usize, + pub action_disjoint_checks: usize, + pub dirty_comparator_contract_checks: usize, + pub exact_clean: bool, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944GateHostClassReport { + pub row: usize, + pub substep: Q945Substep, + pub outer_left: Q945StateRegister, + pub outer_right: Q945StateRegister, + pub allocated_width: usize, + pub candidate_orientations: usize, + pub observations: usize, + pub forward_observations: usize, + pub reverse_observations: usize, + pub inv_fwd_observations: usize, + pub alt_cancel_observations: usize, + pub gate_predicate_checks: usize, + pub stable_outer_relation_checks: usize, + pub forward_reverse_symmetry_checks: usize, + pub forward_reverse_symmetry_matches: usize, + pub allocation_bound_checks: usize, + pub allocation_bound_matches: usize, + pub left_entry_or: [u64; 8], + pub right_entry_or: [u64; 8], + pub left_exit_or: [u64; 8], + pub right_exit_or: [u64; 8], + pub exact_zero_paired_bits: Vec, + pub action_clean_orientations: usize, + pub preferred_freed_host: Q945Host, + pub preferred_host_is_outer_operand: bool, + pub preferred_host_action_disjoint: bool, + pub selected_host: Option, + pub selected_peer: Option, + pub omitted_pair_equivalence_checks: usize, + pub zero_entry_checks: usize, + pub zero_exit_checks: usize, + pub restoration_checks: usize, + pub operand_disjoint_checks: usize, + pub action_disjoint_checks: usize, + pub dirty_comparator_contract_checks: usize, + pub exact_clean: bool, + pub blocker: Option<&'static str>, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q944GateHostCounterexample { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, + pub phase: Q945SupportPhase, + pub direction: Q949TraceDirection, + pub row: usize, + pub substep: Q945Substep, + pub preferred_host: Q945Host, + pub preferred_peer: Option, + pub preferred_entry_value: bool, + pub preferred_exit_value: bool, + pub reason: &'static str, + pub failed_register: Option, + pub failed_boundary: Option<&'static str>, + pub observed_width: Option, + pub allocated_width: usize, + pub entry: Q945HostBoundaryState, + pub exit: Q945HostBoundaryState, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944GateHostFeasibilityReport { + pub requested_draws: usize, + pub accepted_draws: usize, + pub rejected_draws: usize, + pub factors_checked: usize, + pub inherited_width_misses: usize, + pub inherited_clz_window_misses: usize, + pub inherited_narrow_compare_misses: usize, + pub inherited_route_trace_clean: bool, + pub classes_checked: usize, + pub sites_checked: usize, + pub site_observations: usize, + pub gate_predicate_checks: usize, + pub stable_outer_relation_checks: usize, + pub forward_reverse_symmetry_checks: usize, + pub forward_reverse_symmetry_matches: usize, + pub allocation_bound_checks: usize, + pub allocation_bound_matches: usize, + pub exact_clean_classes: usize, + pub blocked_classes: usize, + pub classes: Vec, + pub sites: Vec, + pub first_counterexample: Option, + pub exact_clean: bool, +} + +#[derive(Clone, Copy)] +struct ObservationWitness { + draw: usize, + factor_label: &'static str, + factor: U256, + phase: Q945SupportPhase, + observation: Q944GateCallObservation, +} + +#[derive(Clone, Copy)] +struct AllocationBoundWitness { + observation: ObservationWitness, + register: Q945StateRegister, + boundary: &'static str, + observed_width: usize, +} + +#[derive(Clone)] +struct ClassAccumulator { + row: usize, + substep: Q945Substep, + outer_left: Q945StateRegister, + outer_right: Q945StateRegister, + width: usize, + observations: usize, + forward_observations: usize, + reverse_observations: usize, + inv_fwd_observations: usize, + alt_cancel_observations: usize, + gate_predicate_checks: usize, + stable_outer_relation_checks: usize, + symmetry_checks: usize, + symmetry_matches: usize, + allocation_bound_checks: usize, + allocation_bound_matches: usize, + left_entry_or: [u64; 8], + right_entry_or: [u64; 8], + left_exit_or: [u64; 8], + right_exit_or: [u64; 8], + first: Option, + first_allocation_bound_miss: Option, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct SiteAccumulator { + checks: usize, + gate_predicate_checks: usize, + stable_outer_relation_checks: usize, + symmetry_checks: usize, +} + +pub struct Q944GateHostCensus { + requested_draws: usize, + accepted_draws: usize, + rejected_draws: usize, + factors_checked: usize, + inherited_width_misses: usize, + inherited_clz_window_misses: usize, + inherited_narrow_compare_misses: usize, + classes: BTreeMap<(usize, Q945Substep), ClassAccumulator>, + sites: BTreeMap, +} + +fn pair_for(substep: Q945Substep) -> (Q945StateRegister, Q945StateRegister, usize) { + match substep { + Q945Substep::Division => (Q945StateRegister::Ca, Q945StateRegister::Cb, 2), + Q945Substep::Multiply => (Q945StateRegister::A, Q945StateRegister::B, 0), + } +} + +fn register_limbs( + boundary: Q945HostBoundaryState, + register: Q945StateRegister, +) -> [u64; 8] { + match register { + Q945StateRegister::A => boundary.a_limbs, + Q945StateRegister::B => boundary.b_limbs, + Q945StateRegister::Ca => boundary.ca_limbs, + Q945StateRegister::Cb => boundary.cb_limbs, + Q945StateRegister::Q => { + let mut limbs = [0u64; 8]; + limbs[0] = boundary.q as u64; + limbs[1] = (boundary.q >> 64) as u64; + limbs + } + Q945StateRegister::CounterOff => { + let mut limbs = [0u64; 8]; + limbs[0] = u64::from(boundary.done); + limbs + } + } +} + +fn register_bit(boundary: Q945HostBoundaryState, host: Q945Host) -> bool { + let limbs = register_limbs(boundary, host.register); + ((limbs[host.bit / 64] >> (host.bit % 64)) & 1) != 0 +} + +fn or_assign(target: &mut [u64; 8], value: [u64; 8]) { + for (target, value) in target.iter_mut().zip(value) { + *target |= value; + } +} + +fn bit_is_zero(values: &[[u64; 8]], bit: usize) -> bool { + values + .iter() + .all(|value| ((value[bit / 64] >> (bit % 64)) & 1) == 0) +} + +fn within_width(value: [u64; 8], width: usize) -> bool { + value.iter().enumerate().all(|(limb, value)| { + let start = limb * 64; + if start >= width { + *value == 0 + } else if start + 64 <= width { + true + } else { + *value >> (width - start) == 0 + } + }) +} + +fn limb_width(value: [u64; 8]) -> usize { + value + .iter() + .enumerate() + .rev() + .find_map(|(index, value)| { + (*value != 0).then_some(index * 64 + (64 - value.leading_zeros() as usize)) + }) + .unwrap_or(0) +} + +fn less(left: [u64; 8], right: [u64; 8]) -> bool { + for (left, right) in left.into_iter().zip(right).rev() { + match left.cmp(&right) { + Ordering::Less => return true, + Ordering::Greater => return false, + Ordering::Equal => {} + } + } + false +} + +fn preferred_host(row: usize, substep: Q945Substep) -> Q945Host { + match q945_carry_route(row, substep) { + Q945CarryRoute::Borrow(host) => host, + Q945CarryRoute::Row364DivisionLower80 { carry, .. } => carry, + } +} + +fn paired_host( + substep: Q945Substep, + host: Q945Host, +) -> Option { + let (left, right, _) = pair_for(substep); + if host.register == left { + Some(Q945Host::new(right, host.bit)) + } else if host.register == right { + Some(Q945Host::new(left, host.bit)) + } else { + None + } +} + +fn host_action_blocker( + row: usize, + substep: Q945Substep, + host: Q945Host, +) -> Option<&'static str> { + use Q945StateRegister::{A, Ca, Cb}; + match (row, substep, host.register, host.bit) { + // The pre-existing transcript route borrows A[71] during both row-379 + // multiply directions. B[71], if support-zero, remains eligible. + (379, Q945Substep::Multiply, A, 71) => { + Some("row379-a71-is-a-body-transcript-lender") + } + // Forward and reverse row-380 division borrow opposite cofactor top + // lanes. Neither orientation of pair 255 survives all four sites. + (380, Q945Substep::Division, Cb, 255) => { + Some("row380-cb255-is-forward-body-transcript-lender") + } + (380, Q945Substep::Division, Ca, 255) => { + Some("row380-ca255-is-reverse-body-transcript-lender") + } + _ => None, + } +} + +fn preferred_action_disjoint(row: usize, substep: Q945Substep, host: Q945Host) -> bool { + paired_host(substep, host).is_some() && host_action_blocker(row, substep, host).is_none() +} + +impl Q944GateHostCensus { + #[must_use] + pub fn new(requested_draws: usize) -> Self { + let mut classes = BTreeMap::new(); + for row in Q945_NON_HCLZ_ROWS { + for substep in Q945Substep::ALL { + let (outer_left, outer_right, width_index) = pair_for(substep); + let widths = q949_robust_pair_symmetric_widths(row); + assert_eq!(widths[width_index], widths[width_index + 1]); + classes.insert( + (row, substep), + ClassAccumulator { + row, + substep, + outer_left, + outer_right, + width: widths[width_index], + observations: 0, + forward_observations: 0, + reverse_observations: 0, + inv_fwd_observations: 0, + alt_cancel_observations: 0, + gate_predicate_checks: 0, + stable_outer_relation_checks: 0, + symmetry_checks: 0, + symmetry_matches: 0, + allocation_bound_checks: 0, + allocation_bound_matches: 0, + left_entry_or: [0; 8], + right_entry_or: [0; 8], + left_exit_or: [0; 8], + right_exit_or: [0; 8], + first: None, + first_allocation_bound_miss: None, + }, + ); + } + } + assert_eq!(classes.len(), Q944_GATE_HOST_CLASSES); + Self { + requested_draws, + accepted_draws: 0, + rejected_draws: 0, + factors_checked: 0, + inherited_width_misses: 0, + inherited_clz_window_misses: 0, + inherited_narrow_compare_misses: 0, + classes, + sites: BTreeMap::new(), + } + } + + pub fn record_rejected_draw(&mut self) { + self.rejected_draws += 1; + } + + pub fn record_accepted_draw(&mut self) { + self.accepted_draws += 1; + } + + pub fn record_inherited_diagnostics( + &mut self, + width_misses: usize, + clz_window_misses: usize, + narrow_compare_misses: usize, + ) { + self.inherited_width_misses += width_misses; + self.inherited_clz_window_misses += clz_window_misses; + self.inherited_narrow_compare_misses += narrow_compare_misses; + } + + pub fn record_factor( + &mut self, + draw: usize, + factor_label: &'static str, + factor: U256, + phase: Q945SupportPhase, + observations: &[Q944GateCallObservation], + ) { + assert_eq!(observations.len(), 2 * Q944_GATE_HOST_CLASSES); + self.factors_checked += 1; + let mut directional = BTreeMap::new(); + for &observation in observations { + let key = (observation.row, observation.substep); + let class = self.classes.get_mut(&key).expect("unclassified Q944 gate call"); + let left_entry = register_limbs(observation.entry, class.outer_left); + let right_entry = register_limbs(observation.entry, class.outer_right); + let left_exit = register_limbs(observation.exit, class.outer_left); + let right_exit = register_limbs(observation.exit, class.outer_right); + let entry_less = less(left_entry, right_entry); + let exit_less = less(left_exit, right_exit); + let predicate_clean = observation.gate_predicate + == (!observation.done && observation.full_less) + && observation.entry.done == observation.done + && observation.exit.done == observation.done; + let relation_stable = observation.full_less == entry_less && entry_less == exit_less; + let witness = ObservationWitness { + draw, + factor_label, + factor, + phase, + observation, + }; + + class.observations += 1; + class.forward_observations += + usize::from(observation.direction == Q949TraceDirection::Forward); + class.reverse_observations += + usize::from(observation.direction == Q949TraceDirection::Reverse); + class.inv_fwd_observations += usize::from(phase == Q945SupportPhase::InvFwd); + class.alt_cancel_observations += + usize::from(phase == Q945SupportPhase::AltCancel); + class.gate_predicate_checks += usize::from(predicate_clean); + class.stable_outer_relation_checks += usize::from(relation_stable); + for (register, boundary, value) in [ + (class.outer_left, "entry", left_entry), + (class.outer_right, "entry", right_entry), + (class.outer_left, "exit", left_exit), + (class.outer_right, "exit", right_exit), + ] { + let bounded = within_width(value, class.width); + class.allocation_bound_checks += 1; + class.allocation_bound_matches += usize::from(bounded); + if !bounded && class.first_allocation_bound_miss.is_none() { + class.first_allocation_bound_miss = Some(AllocationBoundWitness { + observation: witness, + register, + boundary, + observed_width: limb_width(value), + }); + } + } + or_assign(&mut class.left_entry_or, left_entry); + or_assign(&mut class.right_entry_or, right_entry); + or_assign(&mut class.left_exit_or, left_exit); + or_assign(&mut class.right_exit_or, right_exit); + class.first.get_or_insert(witness); + + let site = Q944GateHostSite { + phase, + direction: observation.direction, + row: observation.row, + substep: observation.substep, + }; + let site = self.sites.entry(site).or_default(); + site.checks += 1; + site.gate_predicate_checks += usize::from(predicate_clean); + site.stable_outer_relation_checks += usize::from(relation_stable); + + let old = directional.insert( + (observation.row, observation.substep, observation.direction), + observation, + ); + assert!(old.is_none(), "duplicate Q944 directional gate observation"); + } + + for row in Q945_NON_HCLZ_ROWS { + for substep in Q945Substep::ALL { + let forward = directional[&(row, substep, Q949TraceDirection::Forward)]; + let reverse = directional[&(row, substep, Q949TraceDirection::Reverse)]; + let symmetric = forward.entry == reverse.exit + && forward.exit == reverse.entry + && forward.done == reverse.done + && forward.full_less == reverse.full_less + && forward.gate_predicate == reverse.gate_predicate; + let class = self.classes.get_mut(&(row, substep)).unwrap(); + class.symmetry_checks += 1; + class.symmetry_matches += usize::from(symmetric); + self.sites + .get_mut(&Q944GateHostSite { + phase, + direction: Q949TraceDirection::Forward, + row, + substep, + }) + .unwrap() + .symmetry_checks += usize::from(symmetric); + self.sites + .get_mut(&Q944GateHostSite { + phase, + direction: Q949TraceDirection::Reverse, + row, + substep, + }) + .unwrap() + .symmetry_checks += usize::from(symmetric); + } + } + } + + #[must_use] + pub fn finish(self) -> Q944GateHostFeasibilityReport { + assert_eq!( + self.accepted_draws + self.rejected_draws, + self.requested_draws + ); + assert_eq!(self.factors_checked, 2 * self.accepted_draws); + assert_eq!(self.classes.len(), Q944_GATE_HOST_CLASSES); + assert_eq!(self.sites.len(), Q944_GATE_HOST_SITES); + + let expected_class_observations = 4 * self.accepted_draws; + let expected_site_observations = self.accepted_draws; + let mut selected = BTreeMap::new(); + let mut classes = Vec::new(); + let mut first_counterexample = None; + + for ((row, substep), class) in self.classes { + assert_eq!(class.observations, expected_class_observations); + assert_eq!(class.forward_observations, 2 * self.accepted_draws); + assert_eq!(class.reverse_observations, 2 * self.accepted_draws); + assert_eq!(class.inv_fwd_observations, 2 * self.accepted_draws); + assert_eq!(class.alt_cancel_observations, 2 * self.accepted_draws); + assert_eq!(class.symmetry_checks, 2 * self.accepted_draws); + + let zero_values = [ + class.left_entry_or, + class.right_entry_or, + class.left_exit_or, + class.right_exit_or, + ]; + let exact_zero_paired_bits: Vec = (0..class.width) + .filter(|&bit| bit_is_zero(&zero_values, bit)) + .collect(); + let preferred_freed_host = preferred_host(row, substep); + let preferred_peer = paired_host(substep, preferred_freed_host); + let preferred_host_is_outer_operand = preferred_peer.is_some(); + let preferred_host_action_disjoint = + preferred_action_disjoint(row, substep, preferred_freed_host); + + let mut orientations = Vec::new(); + for &bit in exact_zero_paired_bits.iter().rev() { + for register in [class.outer_left, class.outer_right] { + let host = Q945Host::new(register, bit); + if host_action_blocker(row, substep, host).is_none() { + orientations.push((host, paired_host(substep, host).unwrap())); + } + } + } + let preferred = preferred_peer.and_then(|peer| { + exact_zero_paired_bits + .contains(&preferred_freed_host.bit) + .then_some((preferred_freed_host, peer)) + .filter(|(host, _)| host_action_blocker(row, substep, *host).is_none()) + }); + let selected_pair = preferred.or_else(|| orientations.first().copied()); + selected.insert((row, substep), selected_pair); + + let base_clean = class.gate_predicate_checks == class.observations + && class.stable_outer_relation_checks == class.observations + && class.symmetry_matches == class.symmetry_checks + && class.allocation_bound_matches == class.allocation_bound_checks; + let exact_clean = base_clean && selected_pair.is_some(); + let blocker = if class.gate_predicate_checks != class.observations { + Some("gate-predicate-lifecycle-mismatch") + } else if class.stable_outer_relation_checks != class.observations { + Some("outer-relation-not-stable-across-body") + } else if class.symmetry_matches != class.symmetry_checks { + Some("forward-reverse-lifecycle-asymmetry") + } else if class.allocation_bound_matches != class.allocation_bound_checks { + Some("outer-register-exceeds-allocated-width") + } else if exact_zero_paired_bits.is_empty() { + match (row, substep) { + (364, Q945Substep::Division) => Some( + "row364-b80-is-division-body-target-and-no-paired-outer-zero-host", + ), + (374, Q945Substep::Division) => Some( + "row374-q24-is-division-body-target-and-no-paired-outer-zero-host", + ), + _ => Some("no-paired-outer-zero-host"), + } + } else if orientations.is_empty() { + Some("all-zero-paired-host-orientations-are-body-actions") + } else { + None + }; + + if !exact_clean && first_counterexample.is_none() { + let allocation_witness = class.first_allocation_bound_miss; + let witness = allocation_witness + .map(|witness| witness.observation) + .unwrap_or_else(|| class.first.expect("Q944 blocked class lacks witness")); + first_counterexample = Some(Q944GateHostCounterexample { + draw: witness.draw, + factor_label: witness.factor_label, + factor: witness.factor, + phase: witness.phase, + direction: witness.observation.direction, + row, + substep, + preferred_host: preferred_freed_host, + preferred_peer, + preferred_entry_value: register_bit( + witness.observation.entry, + preferred_freed_host, + ), + preferred_exit_value: register_bit( + witness.observation.exit, + preferred_freed_host, + ), + reason: blocker.unwrap(), + failed_register: allocation_witness.map(|witness| witness.register), + failed_boundary: allocation_witness.map(|witness| witness.boundary), + observed_width: allocation_witness.map(|witness| witness.observed_width), + allocated_width: class.width, + entry: witness.observation.entry, + exit: witness.observation.exit, + }); + } + + let selected_host = selected_pair.map(|pair| pair.0); + let selected_peer = selected_pair.map(|pair| pair.1); + let clean_checks = if exact_clean { class.observations } else { 0 }; + classes.push(Q944GateHostClassReport { + row: class.row, + substep: class.substep, + outer_left: class.outer_left, + outer_right: class.outer_right, + allocated_width: class.width, + candidate_orientations: 2 * class.width, + observations: class.observations, + forward_observations: class.forward_observations, + reverse_observations: class.reverse_observations, + inv_fwd_observations: class.inv_fwd_observations, + alt_cancel_observations: class.alt_cancel_observations, + gate_predicate_checks: class.gate_predicate_checks, + stable_outer_relation_checks: class.stable_outer_relation_checks, + forward_reverse_symmetry_checks: class.symmetry_checks, + forward_reverse_symmetry_matches: class.symmetry_matches, + allocation_bound_checks: class.allocation_bound_checks, + allocation_bound_matches: class.allocation_bound_matches, + left_entry_or: class.left_entry_or, + right_entry_or: class.right_entry_or, + left_exit_or: class.left_exit_or, + right_exit_or: class.right_exit_or, + exact_zero_paired_bits, + action_clean_orientations: orientations.len(), + preferred_freed_host, + preferred_host_is_outer_operand, + preferred_host_action_disjoint, + selected_host, + selected_peer, + omitted_pair_equivalence_checks: clean_checks, + zero_entry_checks: clean_checks, + zero_exit_checks: clean_checks, + restoration_checks: clean_checks, + operand_disjoint_checks: clean_checks, + action_disjoint_checks: clean_checks, + dirty_comparator_contract_checks: clean_checks, + exact_clean, + blocker, + }); + } + + let class_reports: BTreeMap<_, _> = classes + .iter() + .map(|class| ((class.row, class.substep), class)) + .collect(); + let mut sites = Vec::new(); + for (site, count) in self.sites { + assert_eq!(count.checks, expected_site_observations); + let class = class_reports[&(site.row, site.substep)]; + let pair = selected[&(site.row, site.substep)]; + let exact_clean = class.exact_clean + && count.gate_predicate_checks == count.checks + && count.stable_outer_relation_checks == count.checks + && count.symmetry_checks == count.checks; + let clean_checks = if exact_clean { count.checks } else { 0 }; + sites.push(Q944GateHostSiteReport { + site, + checks: count.checks, + gate_predicate_checks: count.gate_predicate_checks, + stable_outer_relation_checks: count.stable_outer_relation_checks, + forward_reverse_symmetry_checks: count.symmetry_checks, + host: pair.map(|pair| pair.0), + peer: pair.map(|pair| pair.1), + zero_entry_checks: clean_checks, + zero_exit_checks: clean_checks, + restoration_checks: clean_checks, + operand_disjoint_checks: clean_checks, + action_disjoint_checks: clean_checks, + dirty_comparator_contract_checks: clean_checks, + exact_clean, + }); + } + + let exact_clean_classes = classes.iter().filter(|class| class.exact_clean).count(); + let blocked_classes = classes.len() - exact_clean_classes; + let site_observations = sites.iter().map(|site| site.checks).sum(); + let gate_predicate_checks = classes + .iter() + .map(|class| class.gate_predicate_checks) + .sum(); + let stable_outer_relation_checks = classes + .iter() + .map(|class| class.stable_outer_relation_checks) + .sum(); + let forward_reverse_symmetry_checks = classes + .iter() + .map(|class| class.forward_reverse_symmetry_checks) + .sum(); + let forward_reverse_symmetry_matches = classes + .iter() + .map(|class| class.forward_reverse_symmetry_matches) + .sum(); + let allocation_bound_checks = classes + .iter() + .map(|class| class.allocation_bound_checks) + .sum(); + let allocation_bound_matches = classes + .iter() + .map(|class| class.allocation_bound_matches) + .sum(); + let exact_clean = self.rejected_draws == 0 + && blocked_classes == 0 + && sites.iter().all(|site| site.exact_clean); + let inherited_route_trace_clean = self.inherited_width_misses == 0 + && self.inherited_clz_window_misses == 0 + && self.inherited_narrow_compare_misses == 0; + assert_eq!(first_counterexample.is_some(), !exact_clean); + + Q944GateHostFeasibilityReport { + requested_draws: self.requested_draws, + accepted_draws: self.accepted_draws, + rejected_draws: self.rejected_draws, + factors_checked: self.factors_checked, + inherited_width_misses: self.inherited_width_misses, + inherited_clz_window_misses: self.inherited_clz_window_misses, + inherited_narrow_compare_misses: self.inherited_narrow_compare_misses, + inherited_route_trace_clean, + classes_checked: classes.len(), + sites_checked: sites.len(), + site_observations, + gate_predicate_checks, + stable_outer_relation_checks, + forward_reverse_symmetry_checks, + forward_reverse_symmetry_matches, + allocation_bound_checks, + allocation_bound_matches, + exact_clean_classes, + blocked_classes, + classes, + sites, + first_counterexample, + exact_clean, + } + } +} diff --git a/src/point_add/trailmix_port/inversion/q944_gate_host_lifecycle.rs b/src/point_add/trailmix_port/inversion/q944_gate_host_lifecycle.rs new file mode 100644 index 00000000..a1cb4778 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q944_gate_host_lifecycle.rs @@ -0,0 +1,183 @@ +//! Standalone proof for a zero lane hosting the complete active-and-less gate. +//! +//! The independently verified dirty-parity comparator remains unchanged. This +//! module composes it as compute/body/uncompute and checks the composition over +//! every basis state at small widths before any production integration. + +use crate::circuit::{Op, OperationType}; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use crate::point_add::trailmix_port::inversion::q944_dirty_parity_microkernels:: + strict_compare_gated_dirty_carry_refs; +use crate::point_add::B; + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct Q944GateHostLifecycleCounts { + pub x: usize, + pub cx: usize, + pub ccx: usize, + pub total: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944GateHostLifecycleReport { + pub widths_checked: usize, + pub basis_states_checked: usize, + pub zero_host_entry_checks: usize, + pub zero_host_exit_checks: usize, + pub counter_restoration_checks: usize, + pub parity_restoration_checks: usize, + pub operand_restoration_checks: usize, + pub body_semantic_checks: usize, + pub allocation_free_streams_checked: usize, + pub phase_clean_streams_checked: usize, + pub width_counts: Vec<(usize, Q944GateHostLifecycleCounts)>, +} + +fn build_hosted_lifecycle(width: usize) -> B { + let mut circ = Circuit::new(); + let counter = circ.alloc_qreg("q944.hosted.counter"); + let parity = circ.alloc_qreg("q944.hosted.dirty-parity"); + let host = circ.alloc_qreg("q944.hosted.gate"); + let body_control = circ.alloc_qreg("q944.hosted.body-control"); + let body_target = circ.alloc_qreg("q944.hosted.body-target"); + let v = circ.alloc_qreg_bits("q944.hosted.v", width); + let u = circ.alloc_qreg_bits("q944.hosted.u", width); + let vr: Vec<&QReg> = v.iter().collect(); + let ur: Vec<&QReg> = u.iter().collect(); + + let toggle_gate = |circ: &mut Circuit| { + circ.x(&counter); + strict_compare_gated_dirty_carry_refs( + circ, + &vr, + &ur, + &counter, + &host, + &parity, + ); + circ.x(&counter); + }; + toggle_gate(&mut circ); + circ.ccx(&host, &body_control, &body_target); + toggle_gate(&mut circ); + let builder = circ.into_builder(); + let inputs = 2 * width + 5; + assert_eq!(builder.next_qubit as usize, inputs); + assert_eq!(builder.active_qubits as usize, inputs); + assert_eq!(builder.peak_qubits as usize, inputs); + drop((vr, ur)); + drop((counter, parity, host, body_control, body_target, v, u)); + builder +} + +fn apply_scalar(ops: &[Op], mut state: u64) -> u64 { + let bit = |word: u64, id: u64| ((word >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + other => panic!("Q944 hosted lifecycle emitted phase gate {other:?}"), + } + } + state +} + +fn gate_counts(ops: &[Op]) -> Q944GateHostLifecycleCounts { + let mut counts = Q944GateHostLifecycleCounts::default(); + for op in ops { + match op.kind { + OperationType::X => counts.x += 1, + OperationType::CX => counts.cx += 1, + OperationType::CCX => counts.ccx += 1, + other => panic!("Q944 hosted lifecycle emitted phase gate {other:?}"), + } + } + counts.total = ops.len(); + assert_eq!(counts.total, counts.x + counts.cx + counts.ccx); + counts +} + +/// Exhaustively prove the complete hosted-gate lifecycle for widths 1 through +/// 5. The host is constrained to zero on entry; every other input, including +/// the comparator carry, is arbitrary. +#[must_use] +pub fn exhaustive_q944_gate_host_lifecycle_check() -> Q944GateHostLifecycleReport { + let mut basis_states_checked = 0usize; + let mut zero_host_entry_checks = 0usize; + let mut zero_host_exit_checks = 0usize; + let mut counter_restoration_checks = 0usize; + let mut parity_restoration_checks = 0usize; + let mut operand_restoration_checks = 0usize; + let mut body_semantic_checks = 0usize; + let mut width_counts = Vec::new(); + + for width in 1..=5 { + let builder = build_hosted_lifecycle(width); + let counts = gate_counts(&builder.ops); + assert_eq!(counts.x, 8 * width + 4); + assert_eq!(counts.cx, 12 * width); + assert_eq!(counts.ccx, 12 * width + 3); + assert_eq!(counts.total, 32 * width + 7); + + let qubits = 2 * width + 5; + let mask = (1u64 << width) - 1; + for input in 0..(1u64 << qubits) { + let host = (input >> 2) & 1; + if host != 0 { + continue; + } + basis_states_checked += 1; + zero_host_entry_checks += 1; + + let counter = input & 1; + let parity = (input >> 1) & 1; + let body_control = (input >> 3) & 1; + let body_target = (input >> 4) & 1; + let v = (input >> 5) & mask; + let u = (input >> (5 + width)) & mask; + let expected_toggle = (counter ^ 1) & u64::from(v < u) & body_control; + let expected = input ^ (expected_toggle << 4); + let output = apply_scalar(&builder.ops, input); + + assert_eq!(output, expected, "width={width} input={input:#x}"); + zero_host_exit_checks += usize::from(((output >> 2) & 1) == 0); + counter_restoration_checks += usize::from((output & 1) == counter); + parity_restoration_checks += usize::from(((output >> 1) & 1) == parity); + operand_restoration_checks += usize::from( + ((output >> 5) & mask) == v + && ((output >> (5 + width)) & mask) == u, + ); + body_semantic_checks += usize::from(((output >> 4) & 1) == (body_target ^ expected_toggle)); + } + width_counts.push((width, counts)); + } + + assert_eq!(zero_host_entry_checks, basis_states_checked); + assert_eq!(zero_host_exit_checks, basis_states_checked); + assert_eq!(counter_restoration_checks, basis_states_checked); + assert_eq!(parity_restoration_checks, basis_states_checked); + assert_eq!(operand_restoration_checks, basis_states_checked); + assert_eq!(body_semantic_checks, basis_states_checked); + Q944GateHostLifecycleReport { + widths_checked: width_counts.len(), + basis_states_checked, + zero_host_entry_checks, + zero_host_exit_checks, + counter_restoration_checks, + parity_restoration_checks, + operand_restoration_checks, + body_semantic_checks, + allocation_free_streams_checked: width_counts.len(), + phase_clean_streams_checked: width_counts.len(), + width_counts, + } +} diff --git a/src/point_add/trailmix_port/inversion/q944_quotient_witness.rs b/src/point_add/trailmix_port/inversion/q944_quotient_witness.rs new file mode 100644 index 00000000..e40702ad --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q944_quotient_witness.rs @@ -0,0 +1,455 @@ +//! Allocation-free quotient witness handoff for the five blocked Q944 rows. +//! +//! The 25-bit quotient register is zero before division. Its top lane `q[24]` +//! can therefore host the outer division predicate while the shift is built. +//! Every quotient bit except the sentinel is deposited before subtraction. +//! The deposited one-hot bit clears the binary shift inside the hosted body. +//! Only `s=24` remains parked in high shift lanes while the outer lifecycle +//! clears `q[24]`, after which that sentinel moves back into the quotient. +//! Reverse execution is the exact gate inverse, ordered so `s[0]` and `s[1]` +//! remain clean for the outer comparator. + +use crate::circuit::{Op, OperationType}; +use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use crate::point_add::B; + +pub const Q944_QUOTIENT_WIDTH: usize = 25; +pub const Q944_QUOTIENT_SENTINEL: usize = 24; +pub const Q944_SHIFT_WIDTH: usize = 5; + +fn assert_unique(roles: &[(&str, &QReg)]) { + for (index, (name, lane)) in roles.iter().enumerate() { + for (other_name, other) in &roles[..index] { + assert!( + lane.id() != other.id(), + "Q944 quotient witness alias: {name} aliases {other_name}" + ); + } + } +} + +fn assert_layout(q: &[QReg], s: &[&QReg], active: &QReg, lenders: &[&QReg]) { + assert_eq!(q.len(), Q944_QUOTIENT_WIDTH); + assert_eq!(s.len(), Q944_SHIFT_WIDTH); + assert_eq!(active.id(), q[Q944_QUOTIENT_SENTINEL].id()); + assert!(lenders.len() >= Q944_SHIFT_WIDTH - 1); + let mut roles = Vec::with_capacity(q.len() + s.len() + lenders.len()); + roles.extend(q.iter().map(|lane| ("q", lane))); + roles.extend(s.iter().map(|lane| ("s", *lane))); + roles.extend(lenders.iter().map(|lane| ("lender", *lane))); + assert_unique(&roles); +} + +/// Deposit `q[s] ^= active`, except when `s=24`, where the active host already +/// occupies the correct quotient lane. Every dirty lender is restored. +pub fn q944_partial_demux_excluding_sentinel( + circ: &mut Circuit, + q: &[QReg], + s: &[&QReg], + active: &QReg, + lenders: &[&QReg], +) { + assert_layout(q, s, active, lenders); + let allocation_serial = circ.b.allocation_serial; + let next_qubit = circ.b.next_qubit; + let active_qubits = circ.b.active_qubits; + let free_qubits = circ.b.free_qubits.clone(); + let previous = circ.push_section("q944.qw.partial-demux"); + for (index, target) in q.iter().enumerate() { + if index == Q944_QUOTIENT_SENTINEL { + continue; + } + for (bit, lane) in s.iter().enumerate() { + if (index >> bit) & 1 == 0 { + circ.x(lane); + } + } + let mut controls = Vec::with_capacity(1 + s.len()); + controls.push(active); + controls.extend(s.iter().copied()); + mcx_dirty_ladder(circ, &controls, target, &lenders[..controls.len() - 2]); + for (bit, lane) in s.iter().enumerate().rev() { + if (index >> bit) & 1 == 0 { + circ.x(lane); + } + } + } + circ.pop_section(&previous); + assert_eq!(circ.b.allocation_serial, allocation_serial); + assert_eq!(circ.b.next_qubit, next_qubit); + assert_eq!(circ.b.active_qubits, active_qubits); + assert_eq!(circ.b.free_qubits, free_qubits); +} + +/// Clear the binary shift from the deposited non-sentinel one-hot quotient. +/// For `s=24`, this deliberately leaves `s[4:3]=11` and `s[2:0]=000`: the +/// outer predicate lifecycle may therefore reuse `s[0]` and `s[1]` while the +/// sentinel remains parked in disjoint high lanes. +pub fn q944_clear_non_sentinel_shift(circ: &mut Circuit, q: &[QReg], s: &[&QReg]) { + assert_eq!(q.len(), Q944_QUOTIENT_WIDTH); + assert_eq!(s.len(), Q944_SHIFT_WIDTH); + let previous = circ.push_section("q944.qw.clear-non-sentinel-shift"); + for (index, source) in q.iter().enumerate() { + if index == Q944_QUOTIENT_SENTINEL { + continue; + } + for (bit, target) in s.iter().enumerate() { + if (index >> bit) & 1 == 1 { + circ.cx(source, target); + } + } + } + circ.pop_section(&previous); +} + +/// After the outer predicate has cleared `q[24]`, move the parked `s=24` +/// sentinel from `s[4:3]=11` into `q[24]` and clear both high shift lanes. +pub fn q944_commit_parked_sentinel(circ: &mut Circuit, q: &[QReg], s: &[&QReg]) { + assert_eq!(q.len(), Q944_QUOTIENT_WIDTH); + assert_eq!(s.len(), Q944_SHIFT_WIDTH); + let previous = circ.push_section("q944.qw.commit-parked-sentinel"); + circ.cx(s[4], s[3]); + circ.cx(s[4], &q[Q944_QUOTIENT_SENTINEL]); + circ.cx(&q[Q944_QUOTIENT_SENTINEL], s[4]); + circ.pop_section(&previous); +} + +/// Complete the forward one-hot handoff when no outer lifecycle needs the low +/// shift lanes between the two stages. +pub fn q944_forward_finalize_quotient(circ: &mut Circuit, q: &[QReg], s: &[&QReg]) { + q944_clear_non_sentinel_shift(circ, q, s); + q944_commit_parked_sentinel(circ, q, s); +} + +/// First part of the exact inverse of `q944_forward_finalize_quotient`. +/// It consumes a possible `q[24]` witness into `s[4:3]` while deliberately +/// leaving `s[0:2]=0` for `gate_hold_counter_zero` scratch. +pub fn q944_reverse_park_sentinel(circ: &mut Circuit, q: &[QReg], s: &[&QReg]) { + assert_eq!(q.len(), Q944_QUOTIENT_WIDTH); + assert_eq!(s.len(), Q944_SHIFT_WIDTH); + let previous = circ.push_section("q944.qw.reverse-park-sentinel"); + circ.cx(&q[Q944_QUOTIENT_SENTINEL], s[4]); + circ.cx(s[4], &q[Q944_QUOTIENT_SENTINEL]); + circ.cx(s[4], s[3]); + circ.pop_section(&previous); +} + +/// Complete the reverse quotient-to-shift decode after the outer predicate has +/// been computed into the now-clean `q[24]` host. +pub fn q944_reverse_materialize_non_sentinel_index( + circ: &mut Circuit, + q: &[QReg], + s: &[&QReg], +) { + assert_eq!(q.len(), Q944_QUOTIENT_WIDTH); + assert_eq!(s.len(), Q944_SHIFT_WIDTH); + let previous = circ.push_section("q944.qw.reverse-materialize-index"); + for (index, source) in q.iter().enumerate() { + if index == Q944_QUOTIENT_SENTINEL { + continue; + } + for (bit, target) in s.iter().enumerate() { + if (index >> bit) & 1 == 1 { + circ.cx(source, target); + } + } + } + circ.pop_section(&previous); +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct Q944QuotientWitnessGateCounts { + pub x: usize, + pub cx: usize, + pub ccx: usize, + pub total: usize, + pub toffoli_class: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944QuotientWitnessProofReport { + pub quotient_width: usize, + pub shift_width: usize, + pub sentinel: usize, + pub classical_equivalence_cases: usize, + pub circuit_forward_cases: usize, + pub circuit_roundtrip_cases: usize, + pub gate_scratch_boundary_checks: usize, + pub phase_checks: usize, + pub predicate_restoration_checks: usize, + pub lender_restoration_checks: usize, + pub allocation_free_streams_checked: usize, + pub forward_counts: Q944QuotientWitnessGateCounts, + pub roundtrip_counts: Q944QuotientWitnessGateCounts, +} + +fn counts(builder: &B, end: usize) -> Q944QuotientWitnessGateCounts { + let mut x = 0; + let mut cx = 0; + let mut ccx = 0; + for op in &builder.ops[..end] { + match op.kind { + OperationType::X => x += 1, + OperationType::CX => cx += 1, + OperationType::CCX => ccx += 1, + other => panic!("Q944 quotient witness emitted unsupported gate {other:?}"), + } + } + Q944QuotientWitnessGateCounts { + x, + cx, + ccx, + total: x + cx + ccx, + toffoli_class: ccx, + } +} + +fn apply_scalar(ops: &[Op], mut state: u64) -> (u64, bool) { + let bit = |word: u64, id: u64| ((word >> id) & 1) != 0; + let mut phase = false; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCZ => { + if bit(state, op.q_control1.0) + && bit(state, op.q_control2.0) + && bit(state, op.q_target.0) + { + phase = !phase; + } + } + other => panic!("Q944 quotient witness scalar saw unsupported gate {other:?}"), + } + } + (state, phase) +} + +struct Harness { + builder: B, + predicate: usize, + q: Vec, + s: Vec, + lenders: Vec, + target: usize, + hosted_body_end: usize, + forward_end: usize, +} + +fn build_harness() -> Harness { + let mut circ = Circuit::new(); + let predicate = circ.alloc_qreg("q944.qw.predicate"); + let q = circ.alloc_qreg_bits("q944.qw.q", Q944_QUOTIENT_WIDTH); + let s = circ.alloc_qreg_bits("q944.qw.s", Q944_SHIFT_WIDTH); + let lenders = circ.alloc_qreg_bits("q944.qw.lender", Q944_SHIFT_WIDTH - 1); + let target = circ.alloc_qreg("q944.qw.target"); + let s_refs: Vec<&QReg> = s.iter().collect(); + let lender_refs: Vec<&QReg> = lenders.iter().collect(); + let active = &q[Q944_QUOTIENT_SENTINEL]; + + circ.cx(&predicate, active); + q944_partial_demux_excluding_sentinel(&mut circ, &q, &s_refs, active, &lender_refs); + circ.cx(active, &target); + q944_clear_non_sentinel_shift(&mut circ, &q, &s_refs); + let hosted_body_end = circ.b.ops.len(); + circ.cx(&predicate, active); + q944_commit_parked_sentinel(&mut circ, &q, &s_refs); + let forward_end = circ.b.ops.len(); + + q944_reverse_park_sentinel(&mut circ, &q, &s_refs); + circ.cx(&predicate, active); + q944_reverse_materialize_non_sentinel_index(&mut circ, &q, &s_refs); + circ.cx(active, &target); + q944_partial_demux_excluding_sentinel(&mut circ, &q, &s_refs, active, &lender_refs); + circ.cx(&predicate, active); + + let expected_qubits = 1 + Q944_QUOTIENT_WIDTH + Q944_SHIFT_WIDTH + + (Q944_SHIFT_WIDTH - 1) + + 1; + let builder = circ.into_builder(); + assert_eq!(builder.next_qubit as usize, expected_qubits); + assert_eq!(builder.active_qubits as usize, expected_qubits); + assert_eq!(builder.peak_qubits as usize, expected_qubits); + let report = Harness { + builder, + predicate: predicate.id() as usize, + q: q.iter().map(|lane| lane.id() as usize).collect(), + s: s.iter().map(|lane| lane.id() as usize).collect(), + lenders: lenders.iter().map(|lane| lane.id() as usize).collect(), + target: target.id() as usize, + hosted_body_end, + forward_end, + }; + drop((s_refs, lender_refs)); + drop((predicate, q, s, lenders, target)); + report +} + +fn bit(state: u64, index: usize) -> bool { + ((state >> index) & 1) != 0 +} + +/// Exhaustive abstract arithmetic equivalence and exact 25-bit circuit proof. +#[must_use] +pub fn exhaustive_q944_quotient_witness_check() -> Q944QuotientWitnessProofReport { + let mut classical_equivalence_cases = 0usize; + for width in 1..=5 { + let modulus = 1usize << width; + for a in 0..modulus { + for b in 0..modulus { + for predicate in 0..=1usize { + for shift in 0..Q944_QUOTIENT_WIDTH { + let baseline_a = (a + modulus - predicate * b) % modulus; + let baseline_q = predicate << shift; + + // Candidate order: retain f in q[24], deposit every + // non-sentinel q bit, subtract once, clear the binary + // shift from the one-hot witness, clear f, then commit + // the parked sentinel. Production guarantees s=0 when + // f=0 because the bit-length difference is f-masked. + let mut candidate_q = 0usize; + let mut candidate_shift = predicate * shift; + let mut candidate_host = predicate; + if candidate_host != 0 && shift != Q944_QUOTIENT_SENTINEL { + candidate_q ^= 1usize << shift; + } + let candidate_a = (a + modulus - predicate * b) % modulus; + if candidate_host != 0 && shift != Q944_QUOTIENT_SENTINEL { + candidate_shift ^= shift; + } + assert_eq!(candidate_shift & 0b11, 0); + candidate_host ^= predicate; + if candidate_shift == Q944_QUOTIENT_SENTINEL { + assert_eq!(candidate_host, 0); + candidate_q ^= 1usize << Q944_QUOTIENT_SENTINEL; + candidate_shift = 0; + } + assert_eq!((candidate_a, candidate_q), (baseline_a, baseline_q)); + assert_eq!(candidate_shift, 0); + assert_eq!(candidate_host, 0); + let restored = (candidate_a + predicate * b) % modulus; + assert_eq!(restored, a); + classical_equivalence_cases += 1; + } + } + } + } + } + + let harness = build_harness(); + let mut circuit_forward_cases = 0usize; + let mut circuit_roundtrip_cases = 0usize; + let mut gate_scratch_boundary_checks = 0usize; + let mut phase_checks = 0usize; + let mut predicate_restoration_checks = 0usize; + let mut lender_restoration_checks = 0usize; + for predicate in 0..=1u64 { + for shift in 0..Q944_QUOTIENT_WIDTH { + for target in 0..=1u64 { + for lender_word in 0..(1u64 << harness.lenders.len()) { + let mut initial = predicate << harness.predicate; + initial |= target << harness.target; + let effective_shift = if predicate == 0 { 0 } else { shift }; + for (bit_index, lane) in harness.s.iter().enumerate() { + initial |= (((effective_shift >> bit_index) & 1) as u64) << lane; + } + for (bit_index, lane) in harness.lenders.iter().enumerate() { + initial |= ((lender_word >> bit_index) & 1) << lane; + } + + let (hosted_boundary, hosted_boundary_phase) = apply_scalar( + &harness.builder.ops[..harness.hosted_body_end], + initial, + ); + assert!(!hosted_boundary_phase); + for (shift_bit, &lane) in harness.s.iter().enumerate() { + let expected = predicate != 0 + && shift == Q944_QUOTIENT_SENTINEL + && (shift_bit == 3 || shift_bit == 4); + assert_eq!(bit(hosted_boundary, lane), expected); + } + assert_eq!( + bit(hosted_boundary, harness.q[Q944_QUOTIENT_SENTINEL]), + predicate != 0, + ); + gate_scratch_boundary_checks += 1; + + let (forward, forward_phase) = + apply_scalar(&harness.builder.ops[..harness.forward_end], initial); + let mut expected_forward = initial; + for lane in &harness.s { + expected_forward &= !(1u64 << lane); + } + expected_forward ^= predicate << harness.target; + if predicate != 0 { + expected_forward |= 1u64 << harness.q[shift]; + } + assert_eq!(forward, expected_forward); + assert!(!forward_phase); + circuit_forward_cases += 1; + phase_checks += 1; + predicate_restoration_checks += + usize::from(bit(forward, harness.predicate) == (predicate != 0)); + lender_restoration_checks += usize::from( + harness + .lenders + .iter() + .all(|&lane| bit(forward, lane) == bit(initial, lane)), + ); + + let (roundtrip, roundtrip_phase) = + apply_scalar(&harness.builder.ops[harness.forward_end..], forward); + assert_eq!(roundtrip, initial); + assert!(!roundtrip_phase); + circuit_roundtrip_cases += 1; + phase_checks += 1; + predicate_restoration_checks += + usize::from(bit(roundtrip, harness.predicate) == (predicate != 0)); + lender_restoration_checks += usize::from( + harness + .lenders + .iter() + .all(|&lane| bit(roundtrip, lane) == bit(initial, lane)), + ); + } + } + } + } + assert_eq!(predicate_restoration_checks, 2 * circuit_forward_cases); + assert_eq!(lender_restoration_checks, 2 * circuit_forward_cases); + Q944QuotientWitnessProofReport { + quotient_width: Q944_QUOTIENT_WIDTH, + shift_width: Q944_SHIFT_WIDTH, + sentinel: Q944_QUOTIENT_SENTINEL, + classical_equivalence_cases, + circuit_forward_cases, + circuit_roundtrip_cases, + gate_scratch_boundary_checks, + phase_checks, + predicate_restoration_checks, + lender_restoration_checks, + allocation_free_streams_checked: 2, + forward_counts: counts(&harness.builder, harness.forward_end), + roundtrip_counts: counts(&harness.builder, harness.builder.ops.len()), + } +} + +#[must_use] +pub const fn q944_dirty_arithmetic_toffoli(width: usize) -> usize { + 2 * width * width + width + 1 +} + +#[must_use] +pub const fn q944_distributed_arithmetic_toffoli(width: usize) -> usize { + Q944_QUOTIENT_WIDTH * q944_dirty_arithmetic_toffoli(width) +} diff --git a/src/point_add/trailmix_port/inversion/q945_local_hosts.rs b/src/point_add/trailmix_port/inversion/q945_local_hosts.rs new file mode 100644 index 00000000..cc367fc0 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q945_local_hosts.rs @@ -0,0 +1,330 @@ +//! Closed structural classification for the Q945 local-host route. +//! +//! This module binds the proposed lenders to the sealed Q949 allocation +//! schedule. It does not certify reachable-state zero claims. Q945 acceptance +//! remains blocked until the Q946 hardening prerequisites listed below are +//! integrated on top of this structural implementation. + +use super::q949_robust_envelope::q949_robust_pair_symmetric_widths; + +pub const Q945_TARGET: usize = 945; +pub const Q945_BASE_COMMIT: &str = "44649ea67d269d4457567a5525f716142886cff7"; +pub const Q945_CONTEXTS_PER_CLASS: usize = 4; +pub const Q945_HCLZ_ROWS: [usize; 14] = [ + 292, 293, 294, 301, 302, 303, 304, 336, 337, 338, 343, 344, 349, 385, +]; +pub const Q945_NON_HCLZ_ROWS: [usize; 7] = [363, 364, 374, 375, 376, 379, 380]; + +pub const Q945_REQUIRED_Q946_INTEGRATIONS: [&str; 4] = [ + "q946-specific-fresh-certificate", + "q946-exact-544-site-census", + "q946-narrowed-comparison-oracle", + "q946-composed-alias-proof", +]; + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q945Substep { + Division, + Multiply, +} + +impl Q945Substep { + pub const ALL: [Self; 2] = [Self::Division, Self::Multiply]; + + pub const fn label(self) -> &'static str { + match self { + Self::Division => "division", + Self::Multiply => "multiply", + } + } +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q945HclzForm { + Update, + Parity, +} + +impl Q945HclzForm { + pub const ALL: [Self; 2] = [Self::Update, Self::Parity]; + + pub const fn label(self) -> &'static str { + match self { + Self::Update => "update", + Self::Parity => "parity", + } + } +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q945StateRegister { + A, + B, + Ca, + Cb, + Q, + CounterOff, +} + +impl Q945StateRegister { + pub const fn label(self) -> &'static str { + match self { + Self::A => "A", + Self::B => "B", + Self::Ca => "ca", + Self::Cb => "cb", + Self::Q => "q", + Self::CounterOff => "counter[0]/off", + } + } + + const fn allocation_index(self) -> Option { + match self { + Self::A => Some(0), + Self::B => Some(1), + Self::Ca => Some(2), + Self::Cb => Some(3), + Self::Q => Some(4), + Self::CounterOff => None, + } + } +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub struct Q945Host { + pub register: Q945StateRegister, + pub bit: usize, +} + +impl Q945Host { + pub const fn new(register: Q945StateRegister, bit: usize) -> Self { + Self { register, bit } + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub enum Q945HclzRoute { + Borrow(Q945Host), + Direct, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub enum Q945CarryRoute { + Borrow(Q945Host), + Row364DivisionLower80 { + carry: Q945Host, + not_gate: Q945Host, + }, +} + +pub const Q945_DIRECT_HCLZ_CLASSES: [(usize, Q945Substep, Q945HclzForm); 4] = [ + (294, Q945Substep::Division, Q945HclzForm::Parity), + (337, Q945Substep::Multiply, Q945HclzForm::Parity), + (343, Q945Substep::Multiply, Q945HclzForm::Parity), + (344, Q945Substep::Multiply, Q945HclzForm::Parity), +]; + +pub const Q945_DIVISION_PARITY_HOSTS: [(usize, Q945Host); 13] = [ + (292, Q945Host::new(Q945StateRegister::Ca, 207)), + (293, Q945Host::new(Q945StateRegister::Ca, 207)), + (301, Q945Host::new(Q945StateRegister::Cb, 211)), + (302, Q945Host::new(Q945StateRegister::Ca, 211)), + (303, Q945Host::new(Q945StateRegister::Cb, 212)), + (304, Q945Host::new(Q945StateRegister::Ca, 212)), + (336, Q945Host::new(Q945StateRegister::Ca, 231)), + (337, Q945Host::new(Q945StateRegister::Cb, 232)), + (338, Q945Host::new(Q945StateRegister::Ca, 232)), + (343, Q945Host::new(Q945StateRegister::Cb, 235)), + (344, Q945Host::new(Q945StateRegister::Ca, 235)), + (349, Q945Host::new(Q945StateRegister::Ca, 238)), + (385, Q945Host::new(Q945StateRegister::Cb, 255)), +]; + +pub const Q945_MULTIPLY_PARITY_HOSTS: [(usize, Q945Host); 11] = [ + (292, Q945Host::new(Q945StateRegister::Q, 22)), + (293, Q945Host::new(Q945StateRegister::A, 117)), + (294, Q945Host::new(Q945StateRegister::B, 117)), + (301, Q945Host::new(Q945StateRegister::A, 113)), + (302, Q945Host::new(Q945StateRegister::B, 113)), + (303, Q945Host::new(Q945StateRegister::A, 112)), + (304, Q945Host::new(Q945StateRegister::B, 112)), + (336, Q945Host::new(Q945StateRegister::B, 94)), + (338, Q945Host::new(Q945StateRegister::B, 93)), + (349, Q945Host::new(Q945StateRegister::A, 87)), + (385, Q945Host::new(Q945StateRegister::B, 68)), +]; + +fn table_host(table: &[(usize, Q945Host)], row: usize) -> Option { + table + .iter() + .find_map(|(candidate, host)| (*candidate == row).then_some(*host)) +} + +pub fn q945_hclz_route( + row: usize, + substep: Q945Substep, + form: Q945HclzForm, +) -> Q945HclzRoute { + assert!( + Q945_HCLZ_ROWS.contains(&row), + "unclassified Q945 HCLZ row {row}" + ); + if form == Q945HclzForm::Update { + let host = if row == 385 { + match substep { + Q945Substep::Division => Q945Host::new(Q945StateRegister::Cb, 255), + Q945Substep::Multiply => Q945Host::new(Q945StateRegister::B, 68), + } + } else { + assert!(row <= 349, "Q945 off loan escaped the preterminal rows"); + Q945Host::new(Q945StateRegister::CounterOff, 0) + }; + return Q945HclzRoute::Borrow(host); + } + + let host = match substep { + Q945Substep::Division => table_host(&Q945_DIVISION_PARITY_HOSTS, row), + Q945Substep::Multiply => table_host(&Q945_MULTIPLY_PARITY_HOSTS, row), + }; + match host { + Some(host) => Q945HclzRoute::Borrow(host), + None if Q945_DIRECT_HCLZ_CLASSES.contains(&(row, substep, form)) => { + Q945HclzRoute::Direct + } + None => panic!( + "unclassified Q945 HCLZ class row={row} substep={} form={}", + substep.label(), + form.label() + ), + } +} + +pub fn q945_carry_route(row: usize, substep: Q945Substep) -> Q945CarryRoute { + assert!( + Q945_NON_HCLZ_ROWS.contains(&row), + "unclassified Q945 borrowed-carry row {row}" + ); + use Q945StateRegister::{A, B, Ca, Cb, Q}; + match (row, substep) { + (363, Q945Substep::Multiply) => Q945CarryRoute::Borrow(Q945Host::new(A, 80)), + (363, Q945Substep::Division) => Q945CarryRoute::Borrow(Q945Host::new(Cb, 247)), + (364, Q945Substep::Multiply) => Q945CarryRoute::Borrow(Q945Host::new(B, 80)), + (364, Q945Substep::Division) => Q945CarryRoute::Row364DivisionLower80 { + carry: Q945Host::new(B, 80), + not_gate: Q945Host::new(A, 80), + }, + (374, Q945Substep::Multiply) => Q945CarryRoute::Borrow(Q945Host::new(B, 73)), + (374, Q945Substep::Division) => Q945CarryRoute::Borrow(Q945Host::new(Q, 24)), + (375, Q945Substep::Multiply) => Q945CarryRoute::Borrow(Q945Host::new(A, 72)), + (375, Q945Substep::Division) => Q945CarryRoute::Borrow(Q945Host::new(Cb, 254)), + (376, Q945Substep::Multiply) => Q945CarryRoute::Borrow(Q945Host::new(B, 72)), + (376, Q945Substep::Division) => Q945CarryRoute::Borrow(Q945Host::new(Ca, 254)), + (379, Q945Substep::Multiply) => Q945CarryRoute::Borrow(Q945Host::new(A, 71)), + (379, Q945Substep::Division) => Q945CarryRoute::Borrow(Q945Host::new(Cb, 255)), + (380, Q945Substep::Multiply) => Q945CarryRoute::Borrow(Q945Host::new(B, 71)), + (380, Q945Substep::Division) => Q945CarryRoute::Borrow(Q945Host::new(Cb, 255)), + _ => panic!( + "unclassified Q945 borrowed-carry class row={row} substep={}", + substep.label() + ), + } +} + +fn assert_host_allocated(row: usize, host: Q945Host) { + if let Some(index) = host.register.allocation_index() { + let widths = q949_robust_pair_symmetric_widths(row); + assert!( + host.bit < widths[index], + "Q945 host {}[{}] is outside row {row} allocation {}", + host.register.label(), + host.bit, + widths[index] + ); + } else { + assert_eq!(host, Q945Host::new(Q945StateRegister::CounterOff, 0)); + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945StaticHostReport { + pub hclz_classes: usize, + pub borrowed_hclz_classes: usize, + pub direct_hclz_classes: usize, + pub borrowed_hclz_sites: usize, + pub direct_hclz_sites: usize, + pub hclz_events: usize, + pub borrowed_carry_classes: usize, + pub borrowed_carry_calls: usize, + pub non_hclz_events: usize, + pub acceptance_prerequisites: usize, +} + +pub fn assert_q945_static_host_table() -> Q945StaticHostReport { + assert_eq!(Q945_BASE_COMMIT.len(), 40); + assert!(Q945_HCLZ_ROWS.windows(2).all(|pair| pair[0] < pair[1])); + assert!(Q945_NON_HCLZ_ROWS.windows(2).all(|pair| pair[0] < pair[1])); + assert!(Q945_HCLZ_ROWS + .iter() + .all(|row| !Q945_NON_HCLZ_ROWS.contains(row))); + + let mut borrowed_hclz_classes = 0usize; + let mut direct = Vec::new(); + for row in Q945_HCLZ_ROWS { + for substep in Q945Substep::ALL { + for form in Q945HclzForm::ALL { + match q945_hclz_route(row, substep, form) { + Q945HclzRoute::Borrow(host) => { + assert_host_allocated(row, host); + borrowed_hclz_classes += 1; + } + Q945HclzRoute::Direct => direct.push((row, substep, form)), + } + } + } + } + assert_eq!(borrowed_hclz_classes, 52); + assert_eq!(direct, Q945_DIRECT_HCLZ_CLASSES); + + let mut borrowed_carry_classes = 0usize; + for row in Q945_NON_HCLZ_ROWS { + for substep in Q945Substep::ALL { + match q945_carry_route(row, substep) { + Q945CarryRoute::Borrow(host) => assert_host_allocated(row, host), + Q945CarryRoute::Row364DivisionLower80 { carry, not_gate } => { + assert_eq!((row, substep), (364, Q945Substep::Division)); + assert_eq!(carry, Q945Host::new(Q945StateRegister::B, 80)); + assert_eq!(not_gate, Q945Host::new(Q945StateRegister::A, 80)); + assert_host_allocated(row, carry); + assert_host_allocated(row, not_gate); + } + } + borrowed_carry_classes += 1; + } + } + assert_eq!(borrowed_carry_classes, 14); + + let hclz_classes = Q945_HCLZ_ROWS.len() * Q945Substep::ALL.len() * Q945HclzForm::ALL.len(); + let borrowed_hclz_sites = borrowed_hclz_classes * Q945_CONTEXTS_PER_CLASS; + let direct_hclz_sites = direct.len() * Q945_CONTEXTS_PER_CLASS; + let borrowed_carry_calls = borrowed_carry_classes * Q945_CONTEXTS_PER_CLASS; + let non_hclz_events = borrowed_carry_calls * 2; + assert_eq!(hclz_classes, 56); + assert_eq!(borrowed_hclz_sites, 208); + assert_eq!(direct_hclz_sites, 16); + assert_eq!(borrowed_hclz_sites + direct_hclz_sites, 224); + assert_eq!(borrowed_carry_calls, 56); + assert_eq!(non_hclz_events, 112); + + Q945StaticHostReport { + hclz_classes, + borrowed_hclz_classes, + direct_hclz_classes: direct.len(), + borrowed_hclz_sites, + direct_hclz_sites, + hclz_events: borrowed_hclz_sites + direct_hclz_sites, + borrowed_carry_classes, + borrowed_carry_calls, + non_hclz_events, + acceptance_prerequisites: Q945_REQUIRED_Q946_INTEGRATIONS.len(), + } +} diff --git a/src/point_add/trailmix_port/inversion/q949_robust_envelope.rs b/src/point_add/trailmix_port/inversion/q949_robust_envelope.rs new file mode 100644 index 00000000..ccff907d --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q949_robust_envelope.rs @@ -0,0 +1,312 @@ +use std::collections::BTreeSet; +use std::sync::OnceLock; + +mod embedded_data { + include!("q949_robust_envelope_data.rs"); +} + +pub const Q949_ROBUST_ENVELOPE_SCHEMA: &str = "q948-peak-safe-robust-row-envelope-v2"; +pub const Q949_ROBUST_ENVELOPE_SHA256: &str = + "ad72e9ef9d0be9b91f22fdc88fe7437fdedb3426ac032db63e6c28a6f6ee2e8e"; +pub const Q949_ROBUST_PROJECTION_SHA256: &str = + "b9f883b8e0ef831437c2ab2d1abf8378cd67fdab5a6b6d50b13e7fc8cc348465"; +pub const Q949_ROBUST_SELECTION_RESULT_SHA256: &str = + "c0f576c793e3c9dbcad53496cd7bd2b107a53ca8585e7a89a799567f49f9a697"; +pub const Q949_ROBUST_SELECTION_JOB_ID: u64 = 71_581; +pub const Q949_ROBUST_ENVELOPE_GENERATION_JOB_ID: u64 = 71_581; +pub const Q949_ROBUST_ARTIFACT_BYTES: usize = 10_545_370; +pub const Q949_ROBUST_ENVELOPE_FRESH_VALIDITY_CLAIMED: bool = false; +pub const Q949_ROBUST_ROWS: usize = 530; +pub const Q949_ROBUST_TARGET_SUM: usize = 683; +pub const Q949_ROBUST_PEAK_SAFE_SUM: usize = 681; +pub const Q949_ROBUST_TRAINING_STREAMS: usize = 14; + +pub const Q949_ROBUST_TRAINING_SOURCE_IDS: [&str; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_SOURCE_IDS; +pub const Q949_ROBUST_TRAINING_SCHEDULE_IDS: [&str; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_SCHEDULE_IDS; +pub const Q949_ROBUST_TRAINING_ROUTE_IDS: [&str; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_ROUTE_IDS; +pub const Q949_ROBUST_TRAINING_OP_STREAM_IDS: [&str; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_OP_STREAM_IDS; +pub const Q949_ROBUST_TRAINING_NONCES: [u64; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_NONCES; +pub const Q949_ROBUST_TRAINING_JOB_IDS: [u64; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_JOB_IDS; +pub const Q949_ROBUST_TRAINING_OP_COUNTS: [usize; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_OP_COUNTS; +pub const Q949_ROBUST_TRAINING_DIAGNOSTICS_SHA256: [&str; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_DIAGNOSTICS_SHA256; +pub const Q949_ROBUST_TRAINING_SOURCE_COMMITS: [&str; Q949_ROBUST_TRAINING_STREAMS] = + embedded_data::TRAINING_SOURCE_COMMITS; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949RobustEnvelopeTrainingReport { + pub artifact_bytes: usize, + pub rows_checked: usize, + pub width_component_witnesses_checked: usize, + pub clz_contexts_checked: usize, + pub clz_limiting_witnesses_checked: usize, + pub minimum_pair_symmetric_slack: usize, + pub maximum_pair_symmetric_sum: usize, + pub training_streams_seen: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub enum Q949RobustPhaseRequirement { + ForwardBoundary, + ForwardEntry, + ForwardPostSwap, + ForwardTransient, + ReverseBoundary, +} + +impl Q949RobustPhaseRequirement { + fn index(self) -> usize { + match self { + Self::ForwardBoundary => 0, + Self::ForwardEntry => 1, + Self::ForwardPostSwap => 2, + Self::ForwardTransient => 3, + Self::ReverseBoundary => 4, + } + } +} + +#[derive(Debug)] +struct Q949RobustEnvelope { + requirements: [[usize; 5]; Q949_ROBUST_ROWS], + phase_requirements: [[[usize; 5]; 5]; Q949_ROBUST_ROWS], + widths: [[usize; 5]; Q949_ROBUST_ROWS], + lows: [[usize; 5]; Q949_ROBUST_ROWS], + clz_safe_low_upper_bounds: [[Option; 4]; Q949_ROBUST_ROWS], + clz_bound_present: [[bool; 4]; Q949_ROBUST_ROWS], + report: Q949RobustEnvelopeTrainingReport, +} + +static ROBUST_ENVELOPE: OnceLock = OnceLock::new(); + +fn assert_lower_hex(label: &str, value: &str, bytes: usize) { + assert_eq!(value.len(), 2 * bytes, "{label} length drift"); + assert!( + value + .bytes() + .all(|byte| byte.is_ascii_digit() || (b'a'..=b'f').contains(&byte)), + "{label} is not lowercase hexadecimal" + ); +} + +fn assert_compact_training_provenance() { + assert_eq!(embedded_data::SELECTION_JOB_ID, Q949_ROBUST_SELECTION_JOB_ID); + assert_eq!( + embedded_data::SELECTION_RESULT_SHA256, + Q949_ROBUST_SELECTION_RESULT_SHA256 + ); + assert_eq!( + embedded_data::SELECTION_MAXIMUM_CARDINALITY, + Q949_ROBUST_TRAINING_STREAMS + ); + assert_eq!(embedded_data::PEAK_SAFE_PAIR_SYMMETRIC_CAP, 681); + assert_eq!( + embedded_data::TRAINING_STREAM_MASK.count_ones() as usize, + Q949_ROBUST_TRAINING_STREAMS + ); + let mut operation_streams = BTreeSet::new(); + for index in 0..Q949_ROBUST_TRAINING_STREAMS { + for (label, value, bytes) in [ + ("training source ID", Q949_ROBUST_TRAINING_SOURCE_IDS[index], 32), + ( + "training schedule ID", + Q949_ROBUST_TRAINING_SCHEDULE_IDS[index], + 32, + ), + ("training route ID", Q949_ROBUST_TRAINING_ROUTE_IDS[index], 32), + ( + "training operation-stream ID", + Q949_ROBUST_TRAINING_OP_STREAM_IDS[index], + 32, + ), + ( + "training diagnostics SHA256", + Q949_ROBUST_TRAINING_DIAGNOSTICS_SHA256[index], + 32, + ), + ( + "training source commit", + Q949_ROBUST_TRAINING_SOURCE_COMMITS[index], + 20, + ), + ] { + assert_lower_hex(label, value, bytes); + } + assert!(operation_streams.insert(Q949_ROBUST_TRAINING_OP_STREAM_IDS[index])); + assert_eq!(embedded_data::TRAINING_NONCE_BITS[index], 48); + assert!(Q949_ROBUST_TRAINING_NONCES[index] < (1u64 << 48)); + assert!(Q949_ROBUST_TRAINING_JOB_IDS[index] > 0); + assert!(Q949_ROBUST_TRAINING_OP_COUNTS[index] > 0); + } + assert!(!Q949_ROBUST_ENVELOPE_FRESH_VALIDITY_CLAIMED); +} + +fn parse_envelope() -> Q949RobustEnvelope { + assert_eq!(embedded_data::ENVELOPE_SCHEMA, Q949_ROBUST_ENVELOPE_SCHEMA); + assert_eq!(embedded_data::ENVELOPE_SHA256, Q949_ROBUST_ENVELOPE_SHA256); + assert_eq!(embedded_data::PROJECTION_SHA256, Q949_ROBUST_PROJECTION_SHA256); + assert_lower_hex( + "Q949 robust projection SHA256", + Q949_ROBUST_PROJECTION_SHA256, + 32, + ); + assert_eq!(embedded_data::ARTIFACT_BYTES, Q949_ROBUST_ARTIFACT_BYTES); + assert_compact_training_provenance(); + + let requirements = embedded_data::ROW_REQUIREMENTS.map(|row| row.map(usize::from)); + let phase_requirements = embedded_data::PHASE_REQUIREMENTS + .map(|row| row.map(|phase| phase.map(usize::from))); + let mut widths = [[0usize; 5]; Q949_ROBUST_ROWS]; + let mut lows = [[0usize; 5]; Q949_ROBUST_ROWS]; + let mut clz_safe_low_upper_bounds = [[None; 4]; Q949_ROBUST_ROWS]; + let mut clz_bound_present = [[false; 4]; Q949_ROBUST_ROWS]; + let mut minimum_pair_symmetric_slack = usize::MAX; + let mut maximum_pair_symmetric_sum = 0usize; + let mut clz_contexts_checked = 0usize; + let mut unconstrained_clz_contexts = 0usize; + + for row in 0..Q949_ROBUST_ROWS { + let required = requirements[row]; + let ab = required[0].max(required[1]); + let cacb = required[2].max(required[3]); + let symmetric = [ab, ab, cacb, cacb, required[4]]; + assert!(symmetric.into_iter().all(|width| width > 0)); + assert!(symmetric[4] <= 99, "Q949 robust row {row} exceeds Q_CAP"); + let sum = symmetric.iter().sum::(); + assert!( + sum <= Q949_ROBUST_PEAK_SAFE_SUM, + "Q949 robust row {row} exceeds peak-safe capacity" + ); + let slack = Q949_ROBUST_TARGET_SUM - sum; + minimum_pair_symmetric_slack = minimum_pair_symmetric_slack.min(slack); + maximum_pair_symmetric_sum = maximum_pair_symmetric_sum.max(sum); + widths[row] = symmetric; + + for (phase_index, phase) in phase_requirements[row].iter().enumerate() { + let absent = phase.iter().all(|&width| width == 0); + assert!( + !absent + || (row == 0 && phase_index == 0) + || (row == Q949_ROBUST_ROWS - 1 && phase_index == 4), + "unexpected missing robust phase requirement" + ); + assert!( + phase + .iter() + .zip(symmetric) + .all(|(&phase_width, row_width)| phase_width == 0 || phase_width <= row_width), + "robust phase requirement exceeds row allocation" + ); + } + + for register in 0..4 { + match embedded_data::CLZ_SAFE_LOW_UPPER_BOUNDS[row][register] { + safe_low if safe_low >= 0 => { + let safe_low = safe_low as usize; + assert!(safe_low < symmetric[register]); + clz_bound_present[row][register] = true; + clz_safe_low_upper_bounds[row][register] = Some(safe_low); + lows[row][register] = safe_low; + clz_contexts_checked += 1; + } + -1 => { + clz_bound_present[row][register] = true; + clz_contexts_checked += 1; + unconstrained_clz_contexts += 1; + } + -2 => {} + sentinel => panic!("unknown Q949 robust CLZ sentinel: {sentinel}"), + } + } + } + assert_eq!(minimum_pair_symmetric_slack, 2); + assert_eq!(maximum_pair_symmetric_sum, 681); + assert_eq!( + minimum_pair_symmetric_slack, + embedded_data::MINIMUM_PAIR_SYMMETRIC_SLACK + ); + assert_eq!( + maximum_pair_symmetric_sum, + embedded_data::MAXIMUM_PAIR_SYMMETRIC_SUM + ); + assert_eq!(clz_contexts_checked, embedded_data::CLZ_CONTEXTS); + assert_eq!(unconstrained_clz_contexts, 2); + assert_eq!( + unconstrained_clz_contexts, + embedded_data::UNCONSTRAINED_CLZ_CONTEXTS + ); + + Q949RobustEnvelope { + requirements, + phase_requirements, + widths, + lows, + clz_safe_low_upper_bounds, + clz_bound_present, + report: Q949RobustEnvelopeTrainingReport { + artifact_bytes: embedded_data::ARTIFACT_BYTES, + rows_checked: Q949_ROBUST_ROWS, + width_component_witnesses_checked: embedded_data::WIDTH_COMPONENT_WITNESSES, + clz_contexts_checked, + clz_limiting_witnesses_checked: embedded_data::CLZ_LIMITING_WITNESSES, + minimum_pair_symmetric_slack, + maximum_pair_symmetric_sum, + training_streams_seen: embedded_data::TRAINING_STREAM_MASK.count_ones() as usize, + }, + } +} + +fn envelope() -> &'static Q949RobustEnvelope { + ROBUST_ENVELOPE.get_or_init(parse_envelope) +} + +#[must_use] +pub fn q949_robust_envelope_sha256() -> String { + let _ = envelope(); + Q949_ROBUST_ENVELOPE_SHA256.to_owned() +} + +#[must_use] +pub fn q949_robust_row_requirements(row: usize) -> [usize; 5] { + envelope().requirements[row.min(Q949_ROBUST_ROWS - 1)] +} + +pub fn q949_robust_phase_requirements( + row: usize, + phase: Q949RobustPhaseRequirement, +) -> Option<[usize; 5]> { + let requirements = envelope().phase_requirements[row.min(Q949_ROBUST_ROWS - 1)][phase.index()]; + requirements.iter().any(|&width| width != 0).then_some(requirements) +} + +#[must_use] +pub fn q949_robust_pair_symmetric_widths(row: usize) -> [usize; 5] { + envelope().widths[row.min(Q949_ROBUST_ROWS - 1)] +} + +#[must_use] +pub fn q949_robust_clz_lows(row: usize) -> [usize; 5] { + envelope().lows[row.min(Q949_ROBUST_ROWS - 1)] +} + +#[must_use] +pub fn q949_robust_clz_safe_low_upper_bounds(row: usize) -> [Option; 4] { + envelope().clz_safe_low_upper_bounds[row.min(Q949_ROBUST_ROWS - 1)] +} + +#[must_use] +pub fn q949_robust_clz_bound_present(row: usize) -> [bool; 4] { + envelope().clz_bound_present[row.min(Q949_ROBUST_ROWS - 1)] +} + +#[must_use] +pub fn q949_robust_envelope_training_check() -> Q949RobustEnvelopeTrainingReport { + envelope().report +} diff --git a/src/point_add/trailmix_port/inversion/q949_robust_envelope_data.rs b/src/point_add/trailmix_port/inversion/q949_robust_envelope_data.rs new file mode 100644 index 00000000..7ad084f4 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q949_robust_envelope_data.rs @@ -0,0 +1,1738 @@ +// @generated from q948_peak_safe_robust_row_envelope.json. +// Sealed artifact SHA256: ad72e9ef9d0be9b91f22fdc88fe7437fdedb3426ac032db63e6c28a6f6ee2e8e. +// CLZ sentinels: -1 = observed but unconstrained; -2 = no context. +// Input operation streams: 2fe8b9e62f37ab9c3a3b5b8937281007ea0cb99b0f109a18cd43a5a25ede6257, 311105f8e263cfdeec3b6d83505a80e7dfbdfb0f976c2e5f7cda418a84e85910, 2d6778a0cae9352b45bcf52cf0f74e190917f7fcbb1247a935a66a2f12edb055, 40106fc30dca67e7f1c64035b57662dabd4a58eeaee99e893aee5da1b2ac30ce, 4d02f750913c9ae1fb806c330b0a6fb08bd7ae90a84520d5e40f2fcca3c73c43, fa6272914dbc480330b42cf74bfcec9ba691a3c4dbaf2f8839f1ffbb76f8abd2, 2e5d885b6da0111b6ac96fca1686c4f349001677e35a9cc97c79a9c49ed17621, a4b9e9ce5e78044c288f58886c8e55a46c5bef19d621e571839b3fe91f52f027, b5578b2b049deb83a44d679e904eba4adbc2f00f7bde7fe521eb8e634e2b8288, a069d87c766495c3fb33e7fa0d8d0aa3dfb6f24fc21d89927ad7b6a67a93e2aa, 9dcf87afe109dca4478fe5087402a9ab9549d0b490b2c78fa9ea35d2454d1c8f, 079d6b251f00576c9f377c5da0983f2a379dd4e1bc72a8ce8f45874ce9ac76ca, 36e008e4d7735fc07d98e2fb5cfb65b731b246f6d92d1e5c910e4cac6d257832, b196572322bf6c2f75700af3c859abfefc6cc03444937269f96b51cf46c2da95. + +pub(super) const ROW_REQUIREMENTS: [[u16; 5]; 530] = [ + [256, 256, 1, 1, 21], + [255, 255, 13, 13, 21], + [255, 255, 12, 13, 21], + [255, 255, 13, 13, 21], + [255, 255, 13, 13, 21], + [254, 254, 14, 14, 21], + [254, 254, 14, 14, 21], + [254, 254, 19, 19, 21], + [254, 254, 16, 19, 21], + [253, 253, 19, 19, 21], + [253, 253, 20, 20, 21], + [252, 252, 22, 22, 21], + [252, 252, 19, 22, 21], + [252, 252, 21, 22, 21], + [252, 252, 23, 22, 21], + [251, 251, 26, 26, 21], + [251, 251, 22, 26, 21], + [250, 250, 27, 27, 21], + [250, 250, 26, 27, 22], + [249, 249, 26, 27, 22], + [249, 249, 28, 28, 22], + [249, 249, 29, 29, 22], + [249, 249, 27, 29, 22], + [248, 248, 30, 30, 22], + [248, 248, 29, 30, 22], + [247, 247, 31, 31, 22], + [247, 247, 30, 31, 22], + [247, 247, 32, 32, 22], + [247, 247, 33, 32, 22], + [246, 246, 34, 34, 22], + [246, 246, 32, 34, 22], + [245, 245, 34, 34, 22], + [245, 245, 35, 34, 22], + [244, 244, 36, 36, 22], + [244, 244, 35, 36, 22], + [243, 243, 38, 38, 22], + [243, 243, 36, 38, 22], + [242, 242, 40, 40, 22], + [242, 242, 38, 40, 22], + [242, 242, 41, 41, 22], + [242, 241, 40, 41, 22], + [241, 241, 44, 44, 22], + [241, 240, 41, 44, 22], + [240, 240, 46, 46, 22], + [240, 240, 44, 46, 22], + [239, 239, 45, 46, 22], + [239, 239, 44, 46, 22], + [239, 239, 48, 48, 22], + [239, 238, 49, 48, 23], + [237, 237, 50, 50, 23], + [237, 237, 48, 50, 23], + [236, 236, 50, 50, 23], + [236, 236, 50, 50, 23], + [235, 235, 53, 53, 23], + [235, 235, 51, 53, 23], + [234, 234, 53, 53, 23], + [234, 234, 53, 53, 23], + [234, 234, 57, 57, 23], + [234, 234, 53, 57, 23], + [233, 233, 57, 57, 23], + [233, 232, 57, 57, 23], + [232, 232, 58, 58, 23], + [232, 232, 57, 58, 23], + [232, 232, 59, 59, 23], + [232, 232, 58, 59, 23], + [230, 230, 58, 59, 23], + [230, 229, 60, 60, 21], + [229, 229, 62, 62, 21], + [229, 228, 59, 62, 21], + [228, 228, 64, 64, 21], + [228, 228, 62, 64, 23], + [227, 227, 64, 64, 23], + [227, 227, 64, 64, 23], + [226, 226, 66, 66, 23], + [226, 226, 64, 66, 23], + [225, 225, 68, 68, 23], + [225, 225, 68, 68, 23], + [225, 225, 69, 69, 23], + [225, 224, 67, 69, 23], + [224, 224, 71, 71, 23], + [224, 223, 70, 71, 23], + [223, 223, 71, 71, 23], + [223, 223, 72, 71, 23], + [222, 222, 73, 73, 23], + [222, 221, 71, 73, 21], + [221, 221, 75, 75, 21], + [221, 221, 73, 75, 25], + [220, 220, 75, 75, 25], + [220, 220, 75, 75, 25], + [218, 218, 76, 76, 25], + [218, 218, 76, 76, 25], + [218, 218, 77, 77, 25], + [218, 217, 76, 77, 25], + [217, 217, 79, 79, 25], + [217, 216, 77, 79, 25], + [215, 215, 81, 81, 25], + [215, 215, 79, 81, 25], + [215, 215, 82, 82, 25], + [215, 215, 81, 82, 25], + [214, 214, 82, 82, 25], + [214, 214, 82, 82, 25], + [213, 213, 84, 84, 25], + [213, 212, 82, 84, 25], + [212, 212, 84, 84, 25], + [212, 212, 84, 84, 25], + [211, 211, 85, 85, 25], + [211, 211, 85, 85, 25], + [210, 210, 87, 87, 25], + [210, 209, 86, 87, 25], + [209, 209, 87, 87, 25], + [209, 209, 87, 87, 25], + [208, 208, 91, 91, 25], + [208, 207, 89, 91, 25], + [207, 207, 92, 92, 25], + [207, 207, 93, 92, 23], + [206, 206, 94, 94, 23], + [206, 206, 92, 94, 23], + [205, 205, 94, 94, 23], + [205, 205, 94, 94, 23], + [204, 204, 95, 95, 23], + [204, 204, 94, 95, 23], + [203, 203, 97, 97, 23], + [203, 202, 96, 97, 23], + [202, 202, 97, 97, 23], + [202, 202, 97, 97, 23], + [201, 201, 99, 99, 23], + [201, 201, 99, 99, 23], + [201, 201, 101, 101, 23], + [201, 200, 99, 101, 23], + [199, 199, 101, 101, 23], + [199, 199, 101, 101, 23], + [199, 199, 102, 102, 23], + [199, 198, 101, 102, 23], + [198, 197, 104, 104, 23], + [197, 197, 103, 104, 23], + [196, 196, 106, 106, 23], + [196, 196, 104, 106, 23], + [196, 196, 106, 106, 23], + [196, 195, 106, 106, 21], + [195, 195, 109, 109, 21], + [195, 194, 106, 109, 21], + [194, 194, 109, 109, 21], + [194, 194, 109, 109, 21], + [192, 192, 109, 109, 21], + [192, 192, 110, 110, 21], + [191, 191, 112, 112, 21], + [191, 191, 109, 112, 21], + [191, 191, 112, 112, 21], + [191, 191, 112, 112, 21], + [190, 189, 114, 114, 21], + [189, 189, 112, 114, 21], + [189, 189, 114, 114, 21], + [189, 188, 115, 115, 21], + [188, 188, 116, 116, 21], + [188, 188, 114, 116, 21], + [187, 187, 116, 116, 21], + [187, 187, 115, 116, 21], + [186, 186, 117, 117, 21], + [186, 185, 116, 117, 21], + [185, 185, 118, 118, 21], + [185, 184, 117, 118, 21], + [183, 183, 121, 121, 21], + [183, 183, 120, 121, 21], + [183, 183, 121, 121, 21], + [183, 182, 122, 122, 21], + [182, 182, 123, 123, 21], + [182, 181, 124, 123, 21], + [181, 181, 125, 125, 21], + [181, 180, 123, 125, 21], + [180, 180, 125, 125, 21], + [180, 180, 125, 125, 21], + [180, 180, 127, 127, 21], + [180, 179, 125, 127, 23], + [178, 178, 129, 129, 23], + [178, 177, 128, 129, 23], + [177, 177, 134, 134, 23], + [177, 177, 129, 134, 23], + [176, 176, 135, 135, 23], + [176, 175, 134, 135, 23], + [175, 175, 137, 137, 23], + [175, 174, 135, 137, 23], + [174, 174, 137, 137, 23], + [174, 173, 137, 137, 23], + [173, 173, 137, 137, 23], + [173, 172, 138, 137, 23], + [172, 171, 139, 139, 23], + [171, 171, 137, 139, 23], + [171, 171, 140, 140, 23], + [171, 171, 139, 140, 23], + [171, 171, 141, 141, 23], + [171, 170, 140, 141, 23], + [170, 169, 142, 142, 23], + [169, 168, 141, 142, 23], + [167, 168, 146, 146, 23], + [167, 168, 142, 146, 23], + [168, 168, 147, 147, 23], + [168, 168, 146, 147, 23], + [167, 166, 146, 147, 23], + [166, 165, 146, 147, 24], + [165, 165, 148, 147, 24], + [165, 165, 149, 148, 24], + [164, 164, 150, 150, 24], + [164, 164, 147, 150, 24], + [164, 164, 147, 150, 24], + [164, 164, 150, 150, 24], + [164, 164, 153, 153, 24], + [164, 163, 150, 153, 24], + [162, 162, 153, 153, 24], + [161, 161, 153, 153, 24], + [161, 161, 153, 153, 24], + [161, 161, 154, 153, 24], + [161, 161, 156, 156, 24], + [161, 160, 153, 156, 24], + [159, 159, 156, 156, 24], + [159, 158, 156, 156, 24], + [158, 158, 159, 159, 24], + [158, 157, 156, 159, 24], + [157, 157, 159, 159, 24], + [157, 157, 159, 159, 24], + [156, 156, 159, 159, 24], + [156, 156, 160, 159, 24], + [156, 156, 161, 161, 24], + [156, 156, 159, 161, 24], + [154, 154, 161, 161, 24], + [153, 154, 161, 161, 23], + [154, 154, 162, 162, 23], + [154, 153, 163, 162, 23], + [152, 152, 165, 165, 23], + [152, 152, 163, 165, 21], + [150, 150, 165, 165, 21], + [150, 150, 165, 165, 21], + [150, 150, 166, 166, 21], + [150, 149, 165, 166, 21], + [149, 149, 169, 169, 21], + [149, 149, 166, 169, 21], + [148, 148, 169, 169, 21], + [148, 147, 169, 169, 21], + [147, 147, 169, 169, 21], + [147, 147, 170, 169, 21], + [146, 146, 171, 171, 21], + [145, 146, 169, 171, 20], + [146, 146, 172, 172, 20], + [146, 145, 172, 172, 20], + [144, 143, 174, 174, 20], + [143, 143, 173, 174, 20], + [143, 143, 174, 174, 20], + [143, 143, 173, 174, 20], + [142, 142, 178, 178, 20], + [141, 142, 175, 178, 20], + [142, 142, 177, 178, 20], + [142, 141, 179, 179, 20], + [140, 140, 181, 181, 20], + [140, 139, 178, 181, 20], + [139, 139, 181, 181, 20], + [139, 139, 181, 181, 20], + [138, 138, 181, 181, 20], + [138, 137, 182, 181, 20], + [137, 136, 183, 183, 20], + [136, 136, 181, 183, 20], + [136, 136, 184, 184, 20], + [136, 135, 183, 184, 20], + [134, 134, 185, 185, 20], + [134, 134, 185, 185, 20], + [134, 134, 186, 186, 20], + [134, 134, 185, 186, 20], + [132, 132, 186, 186, 20], + [132, 132, 187, 186, 20], + [132, 132, 190, 190, 20], + [132, 131, 187, 190, 21], + [130, 130, 190, 190, 21], + [130, 130, 190, 190, 21], + [130, 130, 190, 190, 21], + [130, 129, 190, 190, 21], + [128, 128, 192, 192, 21], + [128, 128, 193, 192, 21], + [128, 128, 195, 195, 21], + [128, 127, 192, 195, 21], + [126, 126, 195, 195, 21], + [126, 126, 195, 195, 21], + [126, 126, 199, 199, 21], + [126, 125, 197, 199, 21], + [125, 125, 199, 199, 21], + [125, 125, 199, 199, 21], + [125, 125, 201, 201, 21], + [125, 125, 199, 201, 21], + [123, 123, 200, 201, 21], + [123, 123, 199, 201, 21], + [120, 120, 200, 201, 21], + [120, 119, 203, 203, 21], + [119, 119, 204, 204, 21], + [119, 118, 206, 206, 21], + [118, 118, 208, 208, 21], + [118, 118, 202, 208, 23], + [118, 118, 203, 208, 23], + [118, 117, 208, 208, 23], + [117, 117, 210, 210, 23], + [117, 117, 208, 210, 23], + [117, 117, 210, 210, 23], + [117, 116, 210, 210, 23], + [115, 115, 210, 210, 23], + [114, 114, 211, 210, 23], + [114, 114, 212, 212, 23], + [114, 114, 210, 212, 23], + [113, 113, 213, 213, 23], + [113, 112, 212, 213, 23], + [112, 112, 212, 213, 23], + [112, 111, 214, 214, 24], + [111, 111, 216, 216, 24], + [111, 110, 215, 216, 24], + [110, 110, 217, 217, 24], + [110, 110, 216, 217, 24], + [110, 110, 218, 218, 24], + [110, 110, 217, 218, 24], + [109, 109, 219, 219, 24], + [109, 109, 218, 219, 24], + [107, 107, 219, 219, 24], + [107, 107, 219, 219, 24], + [105, 105, 221, 221, 24], + [105, 105, 221, 221, 20], + [105, 105, 222, 222, 20], + [105, 105, 222, 222, 20], + [104, 104, 223, 223, 20], + [104, 104, 222, 223, 20], + [103, 103, 224, 224, 20], + [103, 102, 224, 224, 20], + [101, 101, 226, 226, 20], + [101, 101, 226, 226, 20], + [101, 101, 227, 227, 20], + [101, 100, 226, 227, 20], + [100, 100, 228, 228, 20], + [100, 100, 228, 228, 20], + [100, 100, 230, 230, 20], + [100, 100, 228, 230, 20], + [97, 97, 231, 231, 20], + [96, 96, 231, 231, 20], + [95, 95, 232, 232, 20], + [95, 94, 231, 232, 21], + [94, 94, 233, 233, 21], + [94, 93, 232, 233, 21], + [93, 93, 233, 233, 21], + [93, 93, 233, 233, 21], + [92, 92, 234, 234, 21], + [92, 92, 234, 234, 21], + [91, 91, 236, 236, 21], + [91, 91, 235, 236, 21], + [91, 91, 237, 237, 21], + [91, 90, 237, 237, 21], + [90, 89, 239, 239, 21], + [89, 88, 237, 239, 21], + [88, 88, 238, 239, 21], + [88, 88, 239, 239, 22], + [88, 88, 241, 241, 22], + [88, 88, 239, 241, 22], + [87, 87, 241, 241, 22], + [85, 87, 241, 241, 22], + [87, 87, 242, 242, 22], + [87, 87, 241, 242, 22], + [83, 83, 243, 243, 22], + [83, 82, 244, 243, 22], + [82, 82, 245, 245, 22], + [82, 81, 245, 245, 23], + [81, 81, 247, 247, 23], + [81, 81, 246, 247, 23], + [81, 81, 248, 248, 23], + [81, 80, 248, 248, 23], + [79, 79, 249, 249, 23], + [79, 79, 248, 249, 23], + [78, 78, 250, 250, 23], + [78, 78, 249, 250, 23], + [77, 77, 250, 250, 23], + [77, 76, 250, 250, 23], + [75, 75, 252, 252, 23], + [75, 74, 251, 252, 23], + [74, 74, 254, 254, 23], + [74, 74, 254, 254, 25], + [73, 73, 255, 255, 25], + [73, 72, 254, 255, 25], + [72, 72, 255, 255, 25], + [72, 72, 255, 255, 25], + [72, 72, 256, 256, 25], + [72, 72, 256, 255, 25], + [70, 70, 256, 256, 25], + [70, 70, 256, 255, 25], + [70, 70, 256, 256, 25], + [70, 69, 256, 255, 25], + [69, 68, 256, 256, 25], + [68, 68, 256, 255, 25], + [68, 68, 256, 256, 25], + [68, 67, 256, 255, 25], + [66, 66, 256, 256, 25], + [66, 65, 256, 255, 25], + [65, 65, 256, 256, 25], + [65, 65, 256, 255, 25], + [65, 65, 256, 256, 25], + [65, 65, 256, 255, 25], + [64, 64, 256, 256, 25], + [64, 64, 256, 255, 25], + [64, 64, 256, 256, 25], + [64, 63, 256, 255, 25], + [62, 62, 256, 256, 25], + [62, 61, 256, 255, 22], + [61, 61, 256, 256, 22], + [61, 61, 256, 255, 22], + [61, 61, 256, 256, 22], + [61, 61, 256, 255, 23], + [60, 60, 256, 256, 23], + [60, 59, 256, 255, 23], + [59, 59, 256, 256, 23], + [59, 58, 256, 255, 23], + [58, 58, 256, 256, 23], + [58, 57, 256, 255, 23], + [57, 57, 256, 256, 23], + [57, 57, 256, 255, 23], + [57, 57, 256, 256, 23], + [57, 57, 256, 255, 23], + [55, 55, 256, 256, 23], + [54, 54, 256, 255, 23], + [52, 54, 256, 256, 23], + [52, 54, 256, 255, 23], + [54, 54, 256, 256, 23], + [54, 53, 256, 255, 23], + [52, 52, 256, 256, 23], + [52, 52, 256, 255, 23], + [52, 52, 256, 256, 23], + [52, 51, 256, 255, 23], + [51, 50, 256, 256, 23], + [50, 49, 256, 255, 21], + [48, 47, 256, 256, 21], + [47, 47, 256, 255, 21], + [46, 47, 256, 256, 21], + [46, 47, 256, 255, 21], + [47, 47, 256, 256, 21], + [47, 46, 256, 255, 21], + [46, 45, 256, 256, 21], + [44, 45, 256, 255, 21], + [45, 45, 256, 256, 21], + [45, 45, 256, 255, 20], + [44, 44, 256, 256, 20], + [43, 44, 256, 255, 20], + [44, 44, 256, 256, 20], + [44, 43, 256, 255, 20], + [43, 43, 256, 256, 20], + [43, 42, 256, 255, 20], + [42, 42, 256, 256, 20], + [42, 41, 256, 255, 20], + [41, 41, 256, 256, 20], + [41, 41, 256, 255, 20], + [41, 41, 256, 256, 20], + [41, 41, 256, 255, 19], + [40, 40, 256, 256, 19], + [40, 39, 256, 255, 19], + [38, 38, 256, 256, 19], + [36, 38, 256, 255, 17], + [38, 38, 256, 256, 17], + [38, 38, 256, 255, 17], + [36, 36, 256, 256, 17], + [36, 36, 256, 255, 17], + [34, 34, 256, 256, 17], + [30, 33, 256, 255, 17], + [33, 33, 256, 256, 17], + [33, 32, 256, 255, 17], + [31, 30, 256, 256, 17], + [29, 29, 256, 255, 17], + [28, 29, 256, 256, 17], + [28, 29, 256, 255, 17], + [29, 29, 256, 256, 17], + [29, 28, 256, 255, 17], + [28, 27, 256, 256, 17], + [27, 26, 256, 255, 17], + [26, 26, 256, 256, 17], + [26, 26, 256, 255, 17], + [26, 26, 256, 256, 17], + [26, 26, 256, 255, 17], + [26, 26, 256, 256, 17], + [26, 25, 256, 255, 17], + [25, 25, 256, 256, 17], + [25, 24, 256, 255, 17], + [24, 24, 256, 256, 17], + [24, 24, 256, 255, 13], + [23, 23, 256, 256, 13], + [23, 22, 256, 255, 12], + [22, 22, 256, 256, 12], + [22, 22, 256, 255, 12], + [21, 21, 256, 256, 12], + [21, 20, 256, 255, 10], + [20, 20, 256, 256, 10], + [20, 19, 256, 255, 10], + [19, 19, 256, 256, 10], + [19, 19, 256, 255, 10], + [19, 19, 256, 256, 10], + [19, 19, 256, 255, 10], + [18, 18, 256, 256, 10], + [16, 16, 256, 255, 9], + [15, 16, 256, 256, 9], + [15, 16, 256, 255, 9], + [16, 16, 256, 256, 9], + [16, 15, 256, 255, 9], + [13, 13, 256, 256, 9], + [13, 12, 256, 255, 7], + [12, 12, 256, 256, 7], + [12, 12, 256, 255, 7], + [12, 12, 256, 256, 7], + [12, 12, 256, 255, 7], + [10, 10, 256, 256, 7], + [10, 9, 256, 255, 7], + [9, 8, 256, 256, 7], + [7, 8, 256, 255, 6], + [8, 8, 256, 256, 6], + [8, 8, 256, 255, 6], + [7, 7, 256, 256, 6], + [7, 7, 256, 255, 6], + [7, 7, 256, 256, 6], + [7, 7, 256, 255, 6], + [4, 4, 256, 256, 6], + [3, 3, 256, 255, 6], + [2, 2, 256, 256, 6], + [2, 2, 256, 255, 6], + [1, 2, 256, 256, 6], + [1, 2, 256, 255, 6], + [2, 2, 256, 255, 6], + [2, 2, 256, 255, 2], + [1, 1, 256, 256, 2], + [1, 1, 256, 255, 1], + [1, 1, 256, 255, 1], + [1, 1, 256, 255, 1], + [1, 1, 256, 255, 1], + [1, 1, 256, 255, 1], + [1, 1, 256, 255, 1], + [1, 1, 256, 255, 1], + [1, 1, 256, 255, 1], +]; + +pub(super) const PHASE_REQUIREMENTS: [[[u16; 5]; 5]; 530] = [ + [[0, 0, 0, 0, 0], [256, 255, 1, 1, 1], [255, 255, 1, 1, 21], [256, 256, 1, 1, 21], [255, 255, 1, 1, 21]], + [[255, 255, 1, 1, 21], [255, 255, 1, 1, 21], [255, 255, 1, 13, 21], [255, 255, 13, 13, 21], [255, 255, 1, 13, 21]], + [[255, 255, 1, 13, 21], [255, 255, 1, 13, 21], [254, 255, 12, 13, 21], [255, 255, 12, 13, 21], [254, 255, 12, 13, 21]], + [[254, 255, 12, 13, 21], [254, 255, 12, 13, 21], [255, 254, 9, 13, 21], [254, 255, 13, 13, 21], [255, 254, 9, 13, 21]], + [[255, 254, 9, 13, 21], [255, 254, 9, 13, 21], [254, 254, 13, 13, 21], [255, 255, 13, 13, 21], [254, 254, 13, 13, 21]], + [[254, 254, 13, 13, 21], [254, 254, 13, 13, 21], [254, 254, 13, 14, 21], [254, 254, 14, 14, 21], [254, 254, 13, 14, 21]], + [[254, 254, 13, 14, 21], [254, 254, 13, 14, 21], [253, 254, 14, 14, 21], [254, 254, 14, 14, 21], [253, 254, 14, 14, 21]], + [[253, 254, 14, 14, 21], [253, 254, 14, 14, 21], [254, 253, 14, 19, 21], [253, 254, 19, 19, 21], [254, 253, 14, 19, 21]], + [[254, 253, 14, 19, 21], [254, 253, 14, 19, 21], [253, 253, 16, 19, 21], [254, 254, 16, 19, 21], [253, 253, 16, 19, 21]], + [[253, 253, 16, 19, 21], [253, 253, 16, 19, 21], [253, 252, 16, 19, 21], [253, 253, 19, 19, 21], [253, 252, 16, 19, 21]], + [[253, 252, 16, 19, 21], [253, 252, 16, 19, 21], [252, 252, 20, 19, 21], [253, 253, 20, 20, 21], [252, 252, 20, 19, 21]], + [[252, 252, 20, 19, 21], [252, 252, 20, 19, 21], [252, 252, 19, 22, 21], [252, 252, 22, 22, 21], [252, 252, 19, 22, 21]], + [[252, 252, 19, 22, 21], [252, 252, 19, 22, 21], [251, 252, 19, 22, 21], [252, 252, 19, 22, 21], [251, 252, 19, 22, 21]], + [[251, 252, 19, 22, 21], [251, 252, 19, 22, 21], [252, 251, 19, 22, 21], [251, 252, 21, 22, 21], [252, 251, 19, 22, 21]], + [[252, 251, 19, 22, 21], [252, 251, 19, 22, 21], [251, 251, 23, 22, 21], [252, 252, 23, 22, 21], [251, 251, 23, 22, 21]], + [[251, 251, 23, 22, 21], [251, 251, 23, 22, 21], [251, 250, 22, 26, 21], [251, 251, 26, 25, 21], [251, 250, 22, 26, 21]], + [[251, 250, 22, 26, 21], [251, 250, 22, 26, 21], [250, 250, 22, 26, 21], [251, 251, 22, 26, 21], [250, 250, 22, 26, 21]], + [[250, 250, 22, 26, 21], [250, 250, 22, 26, 21], [250, 249, 26, 27, 21], [250, 250, 27, 27, 21], [250, 249, 26, 27, 21]], + [[250, 249, 26, 27, 21], [250, 249, 26, 27, 21], [249, 249, 26, 27, 22], [250, 250, 26, 27, 22], [249, 249, 26, 27, 22]], + [[249, 249, 26, 27, 22], [249, 249, 26, 27, 22], [249, 249, 26, 27, 22], [249, 249, 26, 27, 22], [249, 249, 26, 27, 22]], + [[249, 249, 26, 27, 22], [249, 249, 26, 27, 22], [248, 249, 28, 27, 22], [249, 249, 28, 28, 22], [248, 249, 28, 27, 22]], + [[248, 249, 28, 27, 22], [248, 249, 28, 27, 22], [249, 248, 27, 29, 22], [248, 249, 29, 29, 22], [249, 248, 27, 29, 22]], + [[249, 248, 27, 29, 22], [249, 248, 27, 29, 22], [248, 248, 27, 29, 22], [249, 249, 27, 29, 22], [248, 248, 27, 29, 22]], + [[248, 248, 27, 29, 22], [248, 248, 27, 29, 22], [248, 247, 29, 30, 22], [248, 248, 30, 30, 22], [248, 247, 29, 30, 22]], + [[248, 247, 29, 30, 22], [248, 247, 29, 30, 22], [247, 247, 29, 30, 22], [248, 248, 29, 30, 22], [247, 247, 29, 30, 22]], + [[247, 247, 29, 30, 22], [247, 247, 29, 30, 22], [247, 247, 30, 31, 22], [247, 247, 31, 31, 22], [247, 247, 30, 31, 22]], + [[247, 247, 30, 31, 22], [247, 247, 30, 31, 22], [246, 247, 30, 31, 22], [247, 247, 30, 31, 22], [246, 247, 30, 31, 22]], + [[246, 247, 30, 31, 22], [246, 247, 30, 31, 22], [247, 246, 30, 32, 22], [246, 247, 32, 31, 22], [247, 246, 30, 32, 22]], + [[247, 246, 30, 32, 22], [247, 246, 30, 32, 22], [245, 246, 33, 32, 22], [247, 247, 33, 32, 22], [245, 246, 33, 32, 22]], + [[245, 246, 33, 32, 22], [245, 246, 33, 32, 22], [246, 245, 31, 34, 22], [245, 246, 34, 33, 22], [246, 245, 31, 34, 22]], + [[246, 245, 31, 34, 22], [246, 245, 31, 34, 22], [244, 245, 32, 34, 22], [246, 246, 32, 34, 22], [244, 245, 32, 34, 22]], + [[244, 245, 32, 34, 22], [244, 245, 32, 34, 22], [245, 244, 34, 34, 22], [244, 245, 34, 34, 22], [245, 244, 34, 34, 22]], + [[245, 244, 34, 34, 22], [245, 244, 34, 34, 22], [244, 244, 35, 34, 22], [245, 245, 35, 34, 22], [244, 244, 35, 34, 22]], + [[244, 244, 35, 34, 22], [244, 244, 35, 34, 22], [244, 243, 34, 36, 22], [244, 244, 36, 35, 22], [244, 243, 34, 36, 22]], + [[244, 243, 34, 36, 22], [244, 243, 34, 36, 22], [243, 243, 35, 36, 22], [244, 244, 35, 36, 22], [243, 243, 35, 36, 22]], + [[243, 243, 35, 36, 22], [243, 243, 35, 36, 22], [243, 242, 36, 38, 22], [243, 243, 38, 38, 22], [243, 242, 36, 38, 22]], + [[243, 242, 36, 38, 22], [243, 242, 36, 38, 22], [242, 242, 36, 38, 22], [243, 243, 36, 38, 22], [242, 242, 36, 38, 22]], + [[242, 242, 36, 38, 22], [242, 242, 36, 38, 22], [242, 242, 38, 40, 22], [242, 242, 40, 40, 22], [242, 242, 38, 40, 22]], + [[242, 242, 38, 40, 22], [242, 242, 38, 40, 22], [241, 242, 38, 40, 22], [242, 242, 38, 40, 22], [241, 242, 38, 40, 22]], + [[241, 242, 38, 40, 22], [241, 242, 38, 40, 22], [242, 241, 40, 41, 22], [241, 242, 41, 41, 22], [242, 241, 40, 41, 22]], + [[242, 241, 40, 41, 22], [242, 241, 40, 41, 22], [240, 241, 40, 41, 22], [242, 241, 40, 41, 22], [240, 241, 40, 41, 22]], + [[240, 241, 40, 41, 22], [240, 241, 40, 41, 22], [241, 240, 41, 44, 22], [240, 241, 44, 44, 22], [241, 240, 41, 44, 22]], + [[241, 240, 41, 44, 22], [241, 240, 41, 44, 22], [239, 240, 41, 44, 22], [241, 240, 41, 44, 22], [239, 240, 41, 44, 22]], + [[239, 240, 41, 44, 22], [239, 240, 41, 44, 22], [240, 239, 44, 46, 22], [239, 240, 46, 46, 22], [240, 239, 44, 46, 22]], + [[240, 239, 44, 46, 22], [240, 239, 44, 46, 22], [239, 239, 44, 46, 22], [240, 240, 44, 46, 22], [239, 239, 44, 46, 22]], + [[239, 239, 44, 46, 22], [239, 239, 44, 46, 22], [239, 239, 44, 46, 22], [239, 239, 45, 46, 22], [239, 239, 44, 46, 22]], + [[239, 239, 44, 46, 22], [239, 239, 44, 46, 22], [237, 239, 44, 46, 22], [239, 239, 44, 46, 22], [237, 239, 44, 46, 22]], + [[237, 239, 44, 46, 22], [237, 239, 44, 46, 22], [239, 237, 47, 48, 22], [237, 239, 48, 48, 22], [239, 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[48, 47, 256, 255, 21], [50, 49, 256, 255, 21], [48, 47, 256, 255, 21]], + [[48, 47, 256, 255, 21], [48, 47, 256, 255, 21], [47, 47, 256, 255, 21], [48, 47, 256, 256, 21], [47, 47, 256, 255, 21]], + [[47, 47, 256, 255, 21], [47, 47, 256, 255, 21], [45, 47, 256, 255, 21], [47, 47, 256, 255, 21], [45, 47, 256, 255, 21]], + [[45, 47, 256, 255, 21], [45, 47, 256, 255, 21], [46, 47, 256, 255, 21], [45, 47, 256, 256, 21], [46, 47, 256, 255, 21]], + [[46, 47, 256, 255, 21], [46, 47, 256, 255, 21], [45, 47, 256, 255, 21], [46, 47, 256, 255, 21], [45, 47, 256, 255, 21]], + [[45, 47, 256, 255, 21], [45, 47, 256, 255, 21], [47, 45, 256, 255, 21], [45, 47, 256, 256, 21], [47, 45, 256, 255, 21]], + [[47, 45, 256, 255, 21], [47, 45, 256, 255, 21], [46, 45, 256, 255, 21], [47, 46, 256, 255, 21], [46, 45, 256, 255, 21]], + [[46, 45, 256, 255, 21], [46, 45, 256, 255, 21], [44, 45, 256, 255, 21], [46, 45, 256, 256, 21], [44, 45, 256, 255, 21]], + [[44, 45, 256, 255, 21], [44, 45, 256, 255, 21], [44, 45, 256, 255, 21], [44, 45, 256, 255, 21], [44, 45, 256, 255, 21]], + [[44, 45, 256, 255, 21], [44, 45, 256, 255, 21], [45, 44, 256, 255, 20], [44, 45, 256, 256, 21], [45, 44, 256, 255, 20]], + [[45, 44, 256, 255, 20], [45, 44, 256, 255, 20], [44, 44, 256, 255, 20], [45, 45, 256, 255, 20], [44, 44, 256, 255, 20]], + [[44, 44, 256, 255, 20], [44, 44, 256, 255, 20], [43, 44, 256, 255, 20], [44, 44, 256, 256, 20], [43, 44, 256, 255, 20]], + [[43, 44, 256, 255, 20], [43, 44, 256, 255, 20], [43, 44, 256, 255, 20], [43, 44, 256, 255, 20], [43, 44, 256, 255, 20]], + [[43, 44, 256, 255, 20], [43, 44, 256, 255, 20], [44, 43, 256, 255, 20], [43, 44, 256, 256, 20], [44, 43, 256, 255, 20]], + [[44, 43, 256, 255, 20], [44, 43, 256, 255, 20], [42, 43, 256, 255, 20], [44, 43, 256, 255, 20], [42, 43, 256, 255, 20]], + [[42, 43, 256, 255, 20], [42, 43, 256, 255, 20], [43, 42, 256, 255, 20], [42, 43, 256, 256, 20], [43, 42, 256, 255, 20]], + [[43, 42, 256, 255, 20], [43, 42, 256, 255, 20], [41, 42, 256, 255, 20], [43, 42, 256, 255, 20], [41, 42, 256, 255, 20]], + [[41, 42, 256, 255, 20], [41, 42, 256, 255, 20], [42, 41, 256, 255, 20], [41, 42, 256, 256, 20], [42, 41, 256, 255, 20]], + [[42, 41, 256, 255, 20], [42, 41, 256, 255, 20], [41, 41, 256, 255, 20], [42, 41, 256, 255, 20], [41, 41, 256, 255, 20]], + [[41, 41, 256, 255, 20], [41, 41, 256, 255, 20], [41, 41, 256, 255, 20], [41, 41, 256, 256, 20], [41, 41, 256, 255, 20]], + [[41, 41, 256, 255, 20], [41, 41, 256, 255, 20], [40, 41, 256, 255, 20], [41, 41, 256, 255, 20], [40, 41, 256, 255, 20]], + [[40, 41, 256, 255, 20], [40, 41, 256, 255, 20], [41, 40, 256, 255, 19], [40, 41, 256, 256, 20], [41, 40, 256, 255, 19]], + [[41, 40, 256, 255, 19], [41, 40, 256, 255, 19], [38, 40, 256, 255, 19], [41, 41, 256, 255, 19], [38, 40, 256, 255, 19]], + [[38, 40, 256, 255, 19], [38, 40, 256, 255, 19], [40, 38, 256, 255, 19], [38, 40, 256, 256, 19], [40, 38, 256, 255, 19]], + [[40, 38, 256, 255, 19], [40, 38, 256, 255, 19], [38, 38, 256, 255, 19], [40, 39, 256, 255, 19], [38, 38, 256, 255, 19]], + [[38, 38, 256, 255, 19], [38, 38, 256, 255, 19], [36, 38, 256, 255, 17], [38, 38, 256, 256, 19], [36, 38, 256, 255, 17]], + [[36, 38, 256, 255, 17], [36, 38, 256, 255, 17], [36, 38, 256, 255, 17], [36, 38, 256, 255, 17], [36, 38, 256, 255, 17]], + [[36, 38, 256, 255, 17], [36, 38, 256, 255, 17], [38, 36, 256, 255, 17], [36, 38, 256, 256, 17], [38, 36, 256, 255, 17]], + [[38, 36, 256, 255, 17], [38, 36, 256, 255, 17], [33, 36, 256, 255, 17], [38, 38, 256, 255, 17], [33, 36, 256, 255, 17]], + [[33, 36, 256, 255, 17], [33, 36, 256, 255, 17], [36, 33, 256, 255, 17], [33, 36, 256, 256, 17], [36, 33, 256, 255, 17]], + [[36, 33, 256, 255, 17], [36, 33, 256, 255, 17], [34, 33, 256, 255, 17], [36, 36, 256, 255, 17], [34, 33, 256, 255, 17]], + [[34, 33, 256, 255, 17], [34, 33, 256, 255, 17], [30, 33, 256, 255, 17], [34, 34, 256, 256, 17], [30, 33, 256, 255, 17]], + [[30, 33, 256, 255, 17], [30, 33, 256, 255, 17], [29, 33, 256, 255, 17], [30, 33, 256, 255, 17], [29, 33, 256, 255, 17]], + [[29, 33, 256, 255, 17], [29, 33, 256, 255, 17], [33, 29, 256, 255, 17], [29, 33, 256, 256, 17], [33, 29, 256, 255, 17]], + [[33, 29, 256, 255, 17], [33, 29, 256, 255, 17], [31, 29, 256, 255, 17], [33, 32, 256, 255, 17], [31, 29, 256, 255, 17]], + [[31, 29, 256, 255, 17], [31, 29, 256, 255, 17], [29, 29, 256, 255, 17], [31, 30, 256, 256, 17], [29, 29, 256, 255, 17]], + [[29, 29, 256, 255, 17], [29, 29, 256, 255, 17], [28, 29, 256, 255, 17], [29, 29, 256, 255, 17], [28, 29, 256, 255, 17]], + [[28, 29, 256, 255, 17], [28, 29, 256, 255, 17], [28, 29, 256, 255, 17], [28, 29, 256, 256, 17], [28, 29, 256, 255, 17]], + [[28, 29, 256, 255, 17], [28, 29, 256, 255, 17], [26, 29, 256, 255, 17], [28, 29, 256, 255, 17], [26, 29, 256, 255, 17]], + [[26, 29, 256, 255, 17], [26, 29, 256, 255, 17], [29, 26, 256, 255, 17], [26, 29, 256, 256, 17], [29, 26, 256, 255, 17]], + [[29, 26, 256, 255, 17], [29, 26, 256, 255, 17], [28, 26, 256, 255, 17], [29, 28, 256, 255, 17], [28, 26, 256, 255, 17]], + [[28, 26, 256, 255, 17], [28, 26, 256, 255, 17], [27, 26, 256, 255, 17], [28, 27, 256, 256, 17], [27, 26, 256, 255, 17]], + [[27, 26, 256, 255, 17], [27, 26, 256, 255, 17], [26, 26, 256, 255, 17], [27, 26, 256, 255, 17], [26, 26, 256, 255, 17]], + [[26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [26, 26, 256, 256, 17], [26, 26, 256, 255, 17]], + [[26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [26, 26, 256, 255, 17]], + [[26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [26, 26, 256, 256, 17], [26, 26, 256, 255, 17]], + [[26, 26, 256, 255, 17], [26, 26, 256, 255, 17], [25, 26, 256, 255, 17], [26, 26, 256, 255, 17], [25, 26, 256, 255, 17]], + [[25, 26, 256, 255, 17], [25, 26, 256, 255, 17], [26, 25, 256, 255, 17], [25, 26, 256, 256, 17], [26, 25, 256, 255, 17]], + [[26, 25, 256, 255, 17], [26, 25, 256, 255, 17], [24, 25, 256, 255, 17], [26, 25, 256, 255, 17], [24, 25, 256, 255, 17]], + [[24, 25, 256, 255, 17], [24, 25, 256, 255, 17], [25, 24, 256, 255, 17], [24, 25, 256, 256, 17], [25, 24, 256, 255, 17]], + [[25, 24, 256, 255, 17], [25, 24, 256, 255, 17], [23, 24, 256, 255, 17], [25, 24, 256, 255, 17], [23, 24, 256, 255, 17]], + [[23, 24, 256, 255, 17], [23, 24, 256, 255, 17], [24, 23, 256, 255, 13], [23, 24, 256, 256, 17], [24, 23, 256, 255, 13]], + [[24, 23, 256, 255, 13], [24, 23, 256, 255, 13], [22, 23, 256, 255, 13], [24, 24, 256, 255, 13], [22, 23, 256, 255, 13]], + [[22, 23, 256, 255, 13], [22, 23, 256, 255, 13], [23, 22, 256, 255, 12], [22, 23, 256, 256, 13], [23, 22, 256, 255, 12]], + [[23, 22, 256, 255, 12], [23, 22, 256, 255, 12], [21, 22, 256, 255, 12], [23, 22, 256, 255, 12], [21, 22, 256, 255, 12]], + [[21, 22, 256, 255, 12], [21, 22, 256, 255, 12], [22, 21, 256, 255, 12], [21, 22, 256, 256, 12], [22, 21, 256, 255, 12]], + [[22, 21, 256, 255, 12], [22, 21, 256, 255, 12], [20, 21, 256, 255, 12], [22, 22, 256, 255, 12], [20, 21, 256, 255, 12]], + [[20, 21, 256, 255, 12], [20, 21, 256, 255, 12], [21, 20, 256, 255, 10], [20, 21, 256, 256, 12], [21, 20, 256, 255, 10]], + [[21, 20, 256, 255, 10], [21, 20, 256, 255, 10], [19, 20, 256, 255, 10], [21, 20, 256, 255, 10], [19, 20, 256, 255, 10]], + [[19, 20, 256, 255, 10], [19, 20, 256, 255, 10], [20, 19, 256, 255, 10], [19, 20, 256, 256, 10], [20, 19, 256, 255, 10]], + [[20, 19, 256, 255, 10], [20, 19, 256, 255, 10], [19, 19, 256, 255, 10], [20, 19, 256, 255, 10], [19, 19, 256, 255, 10]], + [[19, 19, 256, 255, 10], [19, 19, 256, 255, 10], [19, 19, 256, 255, 10], [19, 19, 256, 256, 10], [19, 19, 256, 255, 10]], + [[19, 19, 256, 255, 10], [19, 19, 256, 255, 10], [16, 19, 256, 255, 10], [19, 19, 256, 255, 10], [16, 19, 256, 255, 10]], + [[16, 19, 256, 255, 10], [16, 19, 256, 255, 10], [19, 16, 256, 255, 10], [16, 19, 256, 256, 10], [19, 16, 256, 255, 10]], + [[19, 16, 256, 255, 10], [19, 16, 256, 255, 10], [18, 16, 256, 255, 10], [19, 19, 256, 255, 10], [18, 16, 256, 255, 10]], + [[18, 16, 256, 255, 10], [18, 16, 256, 255, 10], [16, 16, 256, 255, 9], [18, 18, 256, 256, 10], [16, 16, 256, 255, 9]], + [[16, 16, 256, 255, 9], [16, 16, 256, 255, 9], [14, 16, 256, 255, 9], [16, 16, 256, 255, 9], [14, 16, 256, 255, 9]], + [[14, 16, 256, 255, 9], [14, 16, 256, 255, 9], [15, 16, 256, 255, 9], [14, 16, 256, 256, 9], [15, 16, 256, 255, 9]], + [[15, 16, 256, 255, 9], [15, 16, 256, 255, 9], [13, 16, 256, 255, 9], [15, 16, 256, 255, 9], [13, 16, 256, 255, 9]], + [[13, 16, 256, 255, 9], [13, 16, 256, 255, 9], [16, 13, 256, 255, 9], [13, 16, 256, 256, 9], [16, 13, 256, 255, 9]], + [[16, 13, 256, 255, 9], [16, 13, 256, 255, 9], [13, 13, 256, 255, 9], [16, 15, 256, 255, 9], [13, 13, 256, 255, 9]], + [[13, 13, 256, 255, 9], [13, 13, 256, 255, 9], [13, 12, 256, 255, 7], [13, 13, 256, 256, 9], [13, 12, 256, 255, 7]], + [[13, 12, 256, 255, 7], [13, 12, 256, 255, 7], [12, 12, 256, 255, 7], [13, 12, 256, 255, 7], [12, 12, 256, 255, 7]], + [[12, 12, 256, 255, 7], [12, 12, 256, 255, 7], [12, 12, 256, 255, 7], [12, 12, 256, 256, 7], [12, 12, 256, 255, 7]], + [[12, 12, 256, 255, 7], [12, 12, 256, 255, 7], [10, 12, 256, 255, 7], [12, 12, 256, 255, 7], [10, 12, 256, 255, 7]], + [[10, 12, 256, 255, 7], [10, 12, 256, 255, 7], [12, 10, 256, 255, 7], [10, 12, 256, 256, 7], [12, 10, 256, 255, 7]], + [[12, 10, 256, 255, 7], [12, 10, 256, 255, 7], [8, 10, 256, 255, 7], [12, 12, 256, 255, 7], [8, 10, 256, 255, 7]], + [[8, 10, 256, 255, 7], [8, 10, 256, 255, 7], [10, 8, 256, 255, 7], [8, 10, 256, 256, 7], [10, 8, 256, 255, 7]], + [[10, 8, 256, 255, 7], [10, 8, 256, 255, 7], [9, 8, 256, 255, 7], [10, 9, 256, 255, 7], [9, 8, 256, 255, 7]], + [[9, 8, 256, 255, 7], [9, 8, 256, 255, 7], [7, 8, 256, 255, 4], [9, 8, 256, 256, 7], [7, 8, 256, 255, 4]], + [[7, 8, 256, 255, 4], [7, 8, 256, 255, 4], [7, 8, 256, 255, 6], [7, 8, 256, 255, 6], [7, 8, 256, 255, 6]], + [[7, 8, 256, 255, 6], [7, 8, 256, 255, 6], [8, 7, 256, 255, 6], [7, 8, 256, 256, 6], [8, 7, 256, 255, 6]], + [[8, 7, 256, 255, 6], [8, 7, 256, 255, 6], [7, 7, 256, 255, 6], [8, 8, 256, 255, 6], [7, 7, 256, 255, 6]], + [[7, 7, 256, 255, 6], [7, 7, 256, 255, 6], [7, 7, 256, 255, 6], [7, 7, 256, 256, 6], [7, 7, 256, 255, 6]], + [[7, 7, 256, 255, 6], [7, 7, 256, 255, 6], [3, 7, 256, 255, 6], [7, 7, 256, 255, 6], [3, 7, 256, 255, 6]], + [[3, 7, 256, 255, 6], [3, 7, 256, 255, 6], [7, 2, 256, 255, 6], [3, 7, 256, 256, 6], [7, 2, 256, 255, 6]], + [[7, 2, 256, 255, 6], [7, 2, 256, 255, 6], [4, 2, 256, 255, 6], [7, 7, 256, 255, 6], [4, 2, 256, 255, 6]], + [[4, 2, 256, 255, 6], [4, 2, 256, 255, 6], [3, 2, 256, 255, 6], [4, 4, 256, 256, 6], [3, 2, 256, 255, 6]], + [[3, 2, 256, 255, 6], [3, 2, 256, 255, 6], [2, 2, 256, 255, 6], [3, 3, 256, 255, 6], [2, 2, 256, 255, 6]], + [[2, 2, 256, 255, 6], [2, 2, 256, 255, 6], [2, 2, 256, 255, 6], [2, 2, 256, 256, 6], [2, 2, 256, 255, 6]], + [[2, 2, 256, 255, 6], [2, 2, 256, 255, 6], [1, 2, 256, 255, 6], [2, 2, 256, 255, 6], [1, 2, 256, 255, 6]], + [[1, 2, 256, 255, 6], [1, 2, 256, 255, 6], [1, 2, 256, 255, 6], [1, 2, 256, 256, 6], [1, 2, 256, 255, 6]], + [[1, 2, 256, 255, 6], [1, 2, 256, 255, 6], [1, 2, 256, 255, 6], [1, 2, 256, 255, 6], [1, 2, 256, 255, 6]], + [[1, 2, 256, 255, 6], [1, 2, 256, 255, 6], [2, 1, 256, 255, 1], [1, 2, 256, 255, 6], [2, 1, 256, 255, 1]], + [[2, 1, 256, 255, 1], [2, 1, 256, 255, 1], [1, 1, 256, 255, 2], [2, 2, 256, 255, 2], [1, 1, 256, 255, 2]], + [[1, 1, 256, 255, 2], [1, 1, 256, 255, 2], [1, 1, 256, 255, 1], [1, 1, 256, 256, 2], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1]], + [[1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [1, 1, 256, 255, 1], [0, 0, 0, 0, 0]], +]; + +pub(super) const CLZ_SAFE_LOW_UPPER_BOUNDS: [[i16; 4]; 530] = [ + [237, 235, -1, 0], + [236, 235, 1, 0], + [236, 235, 0, 0], + [235, 235, 0, 0], + [228, 235, 0, 0], + [228, 235, 0, 0], + [228, 234, 0, 0], + [228, 234, 0, 0], + [228, 229, 0, 0], + [228, 229, 0, 0], + [228, 228, 0, 0], + [228, 228, 0, 0], + [227, 228, 0, 0], + [225, 228, 0, 0], + [225, 228, 0, 0], + [222, 228, 0, 0], + [222, 226, 0, 0], + [222, 226, 0, 0], + [224, 222, 0, 0], + [222, 222, 0, 0], + [220, 222, 0, 0], + [218, 222, 0, 0], + [218, 222, 0, 0], + [218, 222, 0, 0], + [221, 218, 0, 0], + [220, 218, 1, 0], + [220, 218, 0, 0], + [219, 218, 0, 0], + [218, 218, 0, 3], + [218, 218, 0, 3], + [217, 218, 2, 4], + [217, 218, 3, 4], + [214, 218, 4, 4], + [214, 218, 4, 4], + [214, 214, 4, 5], + [213, 214, 4, 5], + [212, 214, 4, 6], + [212, 214, 4, 6], + [210, 212, 4, 6], + [210, 212, 4, 6], + [210, 210, 8, 6], + [207, 210, 8, 6], + [206, 210, 6, 6], + [206, 210, 6, 6], + [207, 206, 10, 6], + [205, 206, 10, 6], + [204, 206, 6, 11], + [204, 206, 6, 11], + [203, 205, 10, 13], + [203, 205, 10, 13], + [203, 203, 10, 14], + [202, 203, 13, 14], + [201, 203, 14, 14], + [199, 203, 14, 14], + [196, 202, 14, 14], + [196, 202, 14, 14], + [196, 199, 15, 14], + [196, 199, 15, 14], + [193, 196, 15, 14], + [193, 196, 17, 14], + [195, 193, 14, 19], + [193, 193, 14, 19], + [193, 193, 18, 19], + [193, 193, 18, 19], + [193, 193, 18, 21], + [192, 193, 19, 21], + [188, 193, 21, 21], + [187, 193, 22, 21], + [187, 192, 21, 22], + [187, 192, 21, 22], + [187, 189, 21, 22], + [187, 189, 23, 22], + [188, 187, 23, 22], + [187, 187, 23, 22], + [185, 187, 22, 25], + [185, 187, 22, 25], + [184, 185, 25, 25], + [184, 185, 25, 25], + [182, 184, 26, 25], + [182, 184, 26, 25], + [182, 183, 25, 29], + [181, 183, 25, 29], + [178, 182, 29, 30], + [178, 182, 29, 30], + [177, 181, 30, 31], + [176, 181, 30, 31], + [170, 177, 30, 31], + [170, 177, 30, 31], + [177, 170, 31, 32], + [177, 170, 31, 32], + [175, 170, 32, 32], + [175, 170, 33, 32], + [175, 170, 32, 35], + [175, 170, 32, 35], + [174, 170, 35, 35], + [173, 170, 35, 35], + [171, 170, 35, 35], + [167, 170, 35, 35], + [167, 170, 35, 37], + [167, 170, 35, 37], + [167, 170, 36, 38], + [167, 170, 36, 38], + [167, 170, 38, 40], + [167, 170, 38, 40], + [162, 169, 40, 40], + [162, 169, 40, 40], + [165, 162, 41, 40], + [165, 162, 41, 40], + [162, 162, 40, 43], + [162, 162, 40, 43], + [161, 162, 41, 44], + [161, 162, 42, 44], + [157, 161, 43, 44], + [157, 161, 43, 44], + [157, 159, 43, 44], + [157, 159, 43, 44], + [157, 159, 44, 44], + [157, 159, 45, 44], + [157, 157, 45, 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0, 213, 214], + [0, 0, 213, 214], + [0, 0, 214, 215], + [0, 0, 214, 215], + [0, 0, 215, 216], + [0, 0, 215, 216], + [0, 0, 215, 216], + [0, 0, 217, 216], + [0, 0, 216, 218], + [0, 0, 216, 218], + [0, 0, 218, 220], + [0, 0, 218, 220], + [0, 0, 218, 220], + [0, 0, 219, 220], + [0, 0, 220, 223], + [0, 0, 220, 223], + [0, 0, 220, 223], + [0, 0, 220, 223], + [0, 0, 223, 223], + [0, 0, 225, 223], + [0, 0, 223, 227], + [0, 0, 223, 227], + [0, 0, 223, 227], + [0, 0, 223, 227], + [0, 0, 227, 227], + [0, 0, 228, 227], + [0, 0, 227, 230], + [0, 0, 227, 230], + [0, 0, 230, 230], + [0, 0, 230, 230], + [0, 0, 230, 231], + [0, 0, 230, 231], + [0, 0, 231, 231], + [0, 0, 231, 231], + [0, 0, 231, 233], + [0, 0, 231, 233], + [0, 0, 232, 233], + [0, 0, 233, 233], + [0, 0, 233, 235], + [0, 0, 233, 235], + [0, 0, 235, 235], + [0, 0, 235, 235], + [0, 0, 235, 236], + [0, 0, 235, 236], + [0, 0, 236, 237], + [0, 0, 236, 237], + [0, 0, 236, 237], + [0, 0, 236, 237], + [0, 0, 237, 237], + [0, 0, 239, 237], + [0, 0, 237, 240], + [0, 0, 237, 240], + [0, 0, 237, 240], + [0, 0, 237, 240], + [0, 0, 240, 240], + [0, 0, 242, 240], + [0, 0, 240, 244], + [0, 0, 240, 244], + [0, 0, 244, 246], + [0, 0, 244, 246], + [0, 0, 244, 246], + [0, 0, 246, 246], + [0, 0, 246, 247], + [0, 0, 246, 247], + [0, 0, 247, 249], + [0, 0, 247, 249], + [0, 0, 249, 249], + [0, 0, 249, 249], + [0, 0, 249, 249], + [0, 0, 249, 249], + [0, 0, 249, 249], + [0, 0, 249, 249], + [0, 1, 251, 249], + [0, 1, 252, 249], + [1, 0, 249, 254], + [-1, 0, 249, 254], + [-2, -2, -2, -2], + [-2, -2, -2, -2], + [-2, -2, -2, -2], + [-2, -2, -2, -2], + [-2, -2, -2, -2], + [-2, -2, -2, -2], + [-2, -2, -2, -2], + [-2, -2, -2, -2], +]; + +pub(super) const ENVELOPE_SCHEMA: &str = "q948-peak-safe-robust-row-envelope-v2"; +pub(super) const ENVELOPE_SHA256: &str = "ad72e9ef9d0be9b91f22fdc88fe7437fdedb3426ac032db63e6c28a6f6ee2e8e"; +pub(super) const PROJECTION_DOMAIN: &[u8] = b"q948-peak-safe-envelope-projection-v3\0"; +pub(super) const ARTIFACT_BYTES: usize = 10545370; +pub(super) const PROJECTION_SHA256: &str = "b9f883b8e0ef831437c2ab2d1abf8378cd67fdab5a6b6d50b13e7fc8cc348465"; +pub(super) const WIDTH_COMPONENT_WITNESSES: usize = 2650; +pub(super) const CLZ_CONTEXTS: usize = 2088; +pub(super) const CLZ_LIMITING_WITNESSES: usize = 12590; +pub(super) const TRAINING_STREAM_MASK: u16 = 0b11111111111111; +pub(super) const UNCONSTRAINED_CLZ_CONTEXTS: usize = 2; +pub(super) const SELECTION_JOB_ID: u64 = 71581; +pub(super) const SELECTION_RESULT_SHA256: &str = "c0f576c793e3c9dbcad53496cd7bd2b107a53ca8585e7a89a799567f49f9a697"; +pub(super) const SELECTION_MAXIMUM_CARDINALITY: usize = 14; +pub(super) const PEAK_SAFE_PAIR_SYMMETRIC_CAP: usize = 681; +pub(super) const MINIMUM_PAIR_SYMMETRIC_SLACK: usize = 2; +pub(super) const MAXIMUM_PAIR_SYMMETRIC_SUM: usize = 681; + +pub(super) const TRAINING_SOURCE_IDS: [&str; 14] = [ + "27e670ba09ace020479ce7c5cfb8a864370a812884701f6c828e79b53d808c9e", + "7b4fa00cc1f7e9b894c2f3ac9db73dfcb2dad137edc4308e6da84344ad11946f", + "8932163f4cfa98210f5ff920b770412c35e4fb3f888994435b58980166c72eb9", + "f6327432a63be566fc22ef57e24b5c11f04a6196618f067bf115c57bcde6ba6d", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "ad02d6f1c5f3137c82943350bffc8a0acda3ae57ed8f03a0b1494c898dd1eda3", + "9cc1b532aca3b73f5055f9a3b1f87bb77c7fa3415eef96b35bb817a710a7f5aa", + "6fda12b6389c5d9d022eb0889a8ead32cabb9f0649f3ec3258ed2264a41775c1", +]; + +pub(super) const TRAINING_SCHEDULE_IDS: [&str; 14] = [ + "95879b97542ba00a9d6ef1fb0ac4101283d8debe90ea2a82a191e6a25270ae92", + "41bf181927dee9f4ced8edb8aea68ce0fd0cc159471490768f2a16eec102958b", + "fdf895f857f84297c45c787caff452fd26fa2f07ccdd3897b78c92f64f136c37", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "cfb132e1f906f8eb2e636d7fc37bd71ee07cd70f5b9af8ffe1d2ed7cc8393cab", + "9e8ebfb3f4052155bcf6bb06bf547c75e74ec4916b9b7a416a48dca709093203", +]; + +pub(super) const TRAINING_ROUTE_IDS: [&str; 14] = [ + "bf34b43335c2f3821cb7d847c41953d9b0442c202e2e918d4d83b833ce199b7e", + "f591e6863108e9b38a24306b35aaab4407a456736135e2e3c239938d15d1c14b", + "3d34d185e5a4dc41450c25efc120b5dc4201269532306f6d7faa89b3f8dfd523", + "dbbbd34502c4a1687b375f8d3a682f7d01eeacef9ef580377adc95ff3be28dad", + "df942ce6f5ed6a5e102724026d1b527edacbaf50ecb2b22010792f8d7eab2bc0", + "67d42531133e296a077ba8dc36da1b478eda9152da03a431b0e0e574399dddf4", + "9253705bed2d498d0695bf13d222c2f85b1e2d0898c4a707ed0c67e0ab232d11", + "1ddbae856f9a1036c4e7d3e1c723449dc337ba1b3f5f6397515e952c91a0f5fd", + "4c5ea9670617d7e12088c769cab994cdc28b34e28d5eb8ae04bd189bc495f6f7", + "d664115ca8b4b7434e0a1abe8b9f3de17a08577d8ee9f275a796c40e8d6766c9", + "957a649d7411145b68fe804754dc54fdf288f12432424c600ef4d0aeadce52b8", + "50698e384fc9a56edb15a7f8b5b78591d2fce272d04b8efe92e1fbe310b8497b", + "0df84565f51934acf3dc8a78f15de40fdc5aa8717e92a87299c450c38e69a5b2", + "3c9f20a93fc94b9994cd0661d0bdfa4b60d82b9c7d02bd0801c18bb4a5297881", +]; + +pub(super) const TRAINING_OP_STREAM_IDS: [&str; 14] = [ + "2fe8b9e62f37ab9c3a3b5b8937281007ea0cb99b0f109a18cd43a5a25ede6257", + "311105f8e263cfdeec3b6d83505a80e7dfbdfb0f976c2e5f7cda418a84e85910", + "2d6778a0cae9352b45bcf52cf0f74e190917f7fcbb1247a935a66a2f12edb055", + "40106fc30dca67e7f1c64035b57662dabd4a58eeaee99e893aee5da1b2ac30ce", + "4d02f750913c9ae1fb806c330b0a6fb08bd7ae90a84520d5e40f2fcca3c73c43", + "fa6272914dbc480330b42cf74bfcec9ba691a3c4dbaf2f8839f1ffbb76f8abd2", + "2e5d885b6da0111b6ac96fca1686c4f349001677e35a9cc97c79a9c49ed17621", + "a4b9e9ce5e78044c288f58886c8e55a46c5bef19d621e571839b3fe91f52f027", + "b5578b2b049deb83a44d679e904eba4adbc2f00f7bde7fe521eb8e634e2b8288", + "a069d87c766495c3fb33e7fa0d8d0aa3dfb6f24fc21d89927ad7b6a67a93e2aa", + "9dcf87afe109dca4478fe5087402a9ab9549d0b490b2c78fa9ea35d2454d1c8f", + "079d6b251f00576c9f377c5da0983f2a379dd4e1bc72a8ce8f45874ce9ac76ca", + "36e008e4d7735fc07d98e2fb5cfb65b731b246f6d92d1e5c910e4cac6d257832", + "b196572322bf6c2f75700af3c859abfefc6cc03444937269f96b51cf46c2da95", +]; + +pub(super) const TRAINING_DIAGNOSTICS_SHA256: [&str; 14] = [ + "fc2b8073464e81757257e473ba6a8a33c7c23f1722e00c401f49f07656de41ed", + "e073d018ecfbeef5c4d10146ec5e36bd05ddc0d36ff9d458850470e844bb8d1e", + "4f7d032da2d4032a91e769b77b493352a68f126a1223225ef39d547138a5f655", + "b5e0dec42ee7686e6c61aa994060f97c5743c57e22739f4dcb533faa246ca5a2", + "94a5bdbcdada7446a90a6238d47d775e452f2d11fe5218c7d98c1ec9e3f8daa8", + "7132b32dd44f919cde7cf6bf60bc25a501fd7ed5a5ef0877a74a18c48ddab045", + "79dead1bf4a7fca5d433ed6dc987743dd86c83db30b25a9d27faa49ad7d646d3", + "751b7013b33849b8868ce594450ad1489b0016606b902ae9c3c31e29d1176900", + "6f04134c108428a56c067d2abdbcbc198c8179382f45f5d1280acd41f61ba073", + "9cc53877e8f13948715bcd9cca8bcd3e309b8beb7fc0ad9d9f7edda904bd0ceb", + "061a1f993988e5bebb9700b9111c2110ddd459f36c64e3e6e37285f94c052202", + "d46c611b2a03604b585e106cb70ce3c061219e9cf6e4df4693993c418211ce9e", + "7f6ab39cb745656ddb8fc0c6540beb36ce8359511ee20b47963011ba5de79b78", + "91c43ed61b98240a629ec5812e5fb5e8d83896145fdbc7b86d9aa5c12bfb7330", +]; + +pub(super) const TRAINING_SOURCE_COMMITS: [&str; 14] = [ + "7a5525f8742d8b1c90392e97fa7d2fa58e576e5e", + "b35ab66074a6bb01292657c538c95e49bb83020a", + "f98aac1ebaac6edd1be462c51f4147d4cb8c324f", + "49654e06299f60f9a5408060419eb0b7d9a7a986", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "6eb0974217d665a66b91e772e86cf61afd89cdb5", + "cb19f39bdb9410007d2ffd29ece19bf241f64733", + "f664a87b222aeca5342864e4e11b91197b4251ca", +]; + +pub(super) const TRAINING_NONCES: [u64; 14] = [ + 1, 3, 4, 5, 7, 8, 11, 12, 15, 16, 20, 21, 5, 24, +]; + +pub(super) const TRAINING_NONCE_BITS: [usize; 14] = [ + 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, +]; + +pub(super) const TRAINING_JOB_IDS: [u64; 14] = [ + 71119, 71221, 71240, 71263, 71325, 71325, 71325, 71325, 71325, 71325, 71325, 71325, 71411, 71568, +]; + +pub(super) const TRAINING_OP_COUNTS: [usize; 14] = [ + 107179088, 113211114, 113123137, 115557695, 115557695, 115557695, 115557695, 115557695, 115557695, 115557695, 115557695, 115557695, 115555815, 120282969, +]; diff --git a/src/point_add/trailmix_port/inversion/q949_robust_projection_metadata.json b/src/point_add/trailmix_port/inversion/q949_robust_projection_metadata.json new file mode 100644 index 00000000..edb29b00 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/q949_robust_projection_metadata.json @@ -0,0 +1 @@ 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diff --git a/src/point_add/trailmix_port/inversion/register_shared_eea.rs b/src/point_add/trailmix_port/inversion/register_shared_eea.rs new file mode 100644 index 00000000..b8c95ee0 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/register_shared_eea.rs @@ -0,0 +1,751 @@ +//! Classical oracle for the register-sharing EEA of Luo et al. (2026). +//! +//! This module models the published optimized state transition. It is an +//! analysis oracle, not a reversible circuit implementation. In particular, +//! passing this oracle does not establish a challenge-valid qubit count. + +use alloy_primitives::U256; +use ruint::aliases::U512; + +pub const SECP256K1_BITS: usize = 256; +pub const REGISTER_SHARED_WORK_BITS: usize = SECP256K1_BITS + 3; +pub const REGISTER_SHARED_REFERENCE_STEPS: usize = 1_479; +pub const REGISTER_SHARED_PAPER_INVERSION_QUBITS: usize = 3 * SECP256K1_BITS + 4 * 8 + 20; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct Signed512 { + negative: bool, + magnitude: U512, +} + +impl Signed512 { + const ZERO: Self = Self { + negative: false, + magnitude: U512::ZERO, + }; + + fn unsigned(magnitude: U512) -> Self { + Self { + negative: false, + magnitude, + } + } + + fn normalized(mut self) -> Self { + if self.magnitude.is_zero() { + self.negative = false; + } + self + } + + fn negated(self) -> Self { + Self { + negative: !self.negative, + magnitude: self.magnitude, + } + .normalized() + } + + fn add(self, other: Self) -> Self { + if self.negative == other.negative { + let (magnitude, overflow) = self.magnitude.overflowing_add(other.magnitude); + assert!(!overflow, "register-sharing signed addition overflow"); + Self { + negative: self.negative, + magnitude, + } + .normalized() + } else if self.magnitude >= other.magnitude { + Self { + negative: self.negative, + magnitude: self.magnitude - other.magnitude, + } + .normalized() + } else { + Self { + negative: other.negative, + magnitude: other.magnitude - self.magnitude, + } + .normalized() + } + } + + fn sub(self, other: Self) -> Self { + self.add(other.negated()) + } + + fn shifted(self, shift: usize) -> Self { + assert!( + bit_len(self.magnitude) + shift <= 512, + "register-sharing signed shift overflow" + ); + Self { + negative: self.negative, + magnitude: self.magnitude << shift, + } + .normalized() + } + + fn bit_len(self) -> usize { + bit_len(self.magnitude) + } + + fn to_mod(self, modulus: U512) -> U512 { + let residue = self.magnitude % modulus; + if self.negative && !residue.is_zero() { + modulus - residue + } else { + residue + } + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct Work1 { + t: Signed512, + q: U512, + r: Signed512, + l_t: usize, + l_q: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct Work2 { + t_prime: Signed512, + r_prime: Signed512, + l_r_prime: usize, + l_s: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct Control { + phase1: bool, + phase2: bool, + iter: bool, + sign: bool, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct State { + n: usize, + work1: Work1, + work2: Work2, + control: Control, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct RegisterSharedStepObservation { + pub step: usize, + pub r_window: Option<(usize, usize)>, + pub swap_index: Option, + pub t_window_end: Option, + pub coefficient_active: bool, + pub coefficient_sub_enabled: bool, + pub coefficient_target_above_t: bool, + pub coefficient_less_than: bool, + pub coefficient_add_only: bool, + pub coefficient_t_prime_length_before: usize, + pub coefficient_shifted_t_length: usize, + pub coefficient_t_prime_length_after: usize, + pub length_update: bool, + pub work1_used: usize, + pub work2_used: usize, + pub l_t: usize, + pub l_q: usize, + pub l_r_prime_before: usize, + pub l_r_prime: usize, + pub transient_l_r_prime: usize, + pub accepted_remainder_update: bool, + pub accepted_remainder_strictly_decreased: bool, + pub accepted_length_nonincreasing: bool, + pub terminal_padding_length_update: bool, + pub l_s: usize, + pub max_intermediate_width: usize, + pub terminated: bool, +} + +/// Canonical packed boundary state for reduced-width gate-level replay. +/// +/// This is intentionally limited to small classical oracles whose complete +/// Work1 and Work2 registers fit in `u64`. It lets the reversible port compare +/// whole-step output against the independently implemented integer model. +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct RegisterSharedPackedSnapshot { + pub step: usize, + pub n: usize, + pub work1: u64, + pub work2: u64, + pub l_t: usize, + pub l_q: usize, + pub l_s: usize, + pub l_r_prime: usize, + pub phase1: bool, + pub phase2: bool, + pub iteration_parity: bool, + pub sign: bool, + pub t: u64, + pub q: u64, + pub r: u64, + pub t_prime: u64, + pub r_prime: u64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct RegisterSharedFactorAudit { + pub steps: usize, + pub euclidean_swaps: usize, + pub first_termination_step: Option, + pub terminal_padding_steps: usize, + pub maximum_work1_used: usize, + pub maximum_work2_used: usize, + pub maximum_shift: usize, + pub maximum_intermediate_width: usize, + pub initial_reflected_l_r_prime: usize, + pub maximum_boundary_l_r_prime: usize, + pub maximum_transient_l_r_prime: usize, + pub accepted_remainder_updates: usize, + pub terminal_padding_length_updates: usize, + pub accepted_remainder_strict_decrease_failures: usize, + pub accepted_length_increase_failures: usize, + pub boundary_l_r_prime_256_observations: usize, + pub transient_l_r_prime_256_observations: usize, + pub final_l_t: usize, + pub final_l_q: usize, + pub final_l_r_prime: usize, + pub final_l_s: usize, + pub inverse_identity_holds: bool, + pub terminal_gcd_state_holds: bool, + pub terminal_layout_holds: bool, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct RegisterSharedNoTransientLengthProofReport { + pub widths_checked: usize, + pub moduli_checked: usize, + pub inputs_checked: usize, + pub schedule_steps_checked: usize, + pub accepted_remainder_updates: usize, + pub terminal_padding_length_updates: usize, + pub maximum_initial_length: usize, + pub maximum_boundary_length: usize, + pub maximum_transient_length: usize, + pub strict_decrease_failures: usize, + pub length_increase_failures: usize, + pub out_of_range_failures: usize, +} + +fn bit_len(value: U512) -> usize { + if value.is_zero() { + 0 + } else { + 512 - value.leading_zeros() as usize + } +} + +fn widen(value: U256) -> U512 { + let limbs = value.as_limbs(); + U512::from_limbs([limbs[0], limbs[1], limbs[2], limbs[3], 0, 0, 0, 0]) +} + +fn secp256k1_modulus() -> U512 { + (U512::from(1u64) << 256) - (U512::from(1u64) << 32) - U512::from(977u64) +} + +fn set_bit(value: &mut U512, index: usize, bit: bool) { + assert!(index < 512); + let mask = U512::from(1u64) << index; + let old = !(*value & mask).is_zero(); + match (old, bit) { + (false, true) => *value |= mask, + (true, false) => *value -= mask, + _ => {} + } +} + +fn small_u64(value: U512) -> u64 { + let limbs = value.as_limbs(); + assert!(limbs[1..].iter().all(|&limb| limb == 0)); + limbs[0] +} + +fn rotate_low_small(value: u64, width: usize, amount: usize) -> u64 { + assert!(width > 0 && width < 64); + let amount = amount % width; + let mask = (1u64 << width) - 1; + if amount == 0 { + value & mask + } else { + ((value >> amount) | (value << (width - amount))) & mask + } +} + +impl State { + fn new(modulus: U512, input: U512, n: usize) -> Self { + assert!(!input.is_zero() && input < modulus); + let half = modulus >> 1; + let reflected = input > half; + let adjusted = if reflected { modulus - input } else { input }; + assert!( + bit_len(adjusted) < n, + "reflected denominator length must fit in n-1 bits" + ); + let state = Self { + n, + work1: Work1 { + t: Signed512::unsigned(U512::from(1u64)), + q: U512::ZERO, + r: Signed512::unsigned(modulus), + l_t: 1, + l_q: 0, + }, + work2: Work2 { + t_prime: Signed512::ZERO, + r_prime: Signed512::unsigned(adjusted), + l_r_prime: bit_len(adjusted), + l_s: 0, + }, + control: Control { + phase1: false, + phase2: false, + iter: reflected, + sign: false, + }, + }; + state.assert_boundary_invariants(); + state + } + + fn assert_boundary_invariants(&self) -> (usize, usize) { + assert!(!self.work1.t.negative); + assert!(!self.work1.r.negative); + assert!(!self.work2.t_prime.negative); + assert!(!self.work2.r_prime.negative); + assert_eq!(self.work1.l_t, self.work1.t.bit_len()); + assert_eq!(self.work2.l_r_prime, self.work2.r_prime.bit_len()); + let work1_used = self.work1.l_t + 1 + self.work1.l_q + self.work1.r.bit_len(); + let work2_used = self.work2.t_prime.bit_len() + self.work2.l_r_prime; + assert!( + work1_used <= self.n + 3, + "Work1 packing overflow: {work1_used} > {}", + self.n + 3 + ); + assert!( + work2_used <= self.n + 3, + "Work2 packing overflow: {work2_used} > {}", + self.n + 3 + ); + assert!(self.work2.l_s < (1usize << 10)); + (work1_used, work2_used) + } + + fn packed_snapshot(&self, step: usize) -> RegisterSharedPackedSnapshot { + let width = self.n + 3; + assert!(width < 64); + self.assert_boundary_invariants(); + assert!(!self.work1.t.negative); + assert!(!self.work1.r.negative); + assert!(!self.work2.t_prime.negative); + assert!(!self.work2.r_prime.negative); + + let t = small_u64(self.work1.t.magnitude); + let q = small_u64(self.work1.q); + let r = small_u64(self.work1.r.magnitude); + let t_prime = small_u64(self.work2.t_prime.magnitude); + let r_prime = small_u64(self.work2.r_prime.magnitude); + + let mut work1 = t; + let q_width = bit_len(self.work1.q); + if self.work1.l_q > 0 { + assert!(q_width >= self.work1.l_q); + let active_q = q >> (q_width - self.work1.l_q); + for physical_index in 0..self.work1.l_q { + let source_index = self.work1.l_q - 1 - physical_index; + if ((active_q >> source_index) & 1) != 0 { + work1 |= 1u64 << (self.work1.l_t + 1 + physical_index); + } + } + } + for bit in 0..bit_len(self.work1.r.magnitude) { + if ((r >> bit) & 1) != 0 { + work1 |= 1u64 << (width - 1 - bit); + } + } + + let mut work2_raw = t_prime; + for bit in 0..self.work2.l_r_prime { + if ((r_prime >> bit) & 1) != 0 { + work2_raw |= 1u64 << (width - 1 - bit); + } + } + let work2 = rotate_low_small(work2_raw, width, self.work2.l_s); + + RegisterSharedPackedSnapshot { + step, + n: self.n, + work1, + work2, + l_t: self.work1.l_t, + l_q: self.work1.l_q, + l_s: self.work2.l_s, + l_r_prime: self.work2.l_r_prime, + phase1: self.control.phase1, + phase2: self.control.phase2, + iteration_parity: self.control.iter, + sign: self.control.sign, + t, + q, + r, + t_prime, + r_prime, + } + } + + fn step(&mut self, step: usize) -> RegisterSharedStepObservation { + let mut observation = RegisterSharedStepObservation { + step, + l_r_prime_before: self.work2.l_r_prime, + transient_l_r_prime: self.work2.l_r_prime, + ..Default::default() + }; + + if !self.control.phase1 { + self.work2.l_s += 1; + } + if !self.control.phase1 && self.control.phase2 { + assert!(self.work2.l_s >= 2); + self.work2.l_s -= 2; + } + + if !self.control.phase1 && self.work2.l_r_prime > 0 { + let start = self.work1.l_t + self.work1.l_q + 2; + let end = self.n + 3 - self.work2.l_s; + assert!(start <= end); + observation.r_window = Some((start, end)); + let shifted = self.work2.r_prime.shifted(self.work2.l_s); + self.work1.r = self.work1.r.sub(shifted); + observation.max_intermediate_width = observation + .max_intermediate_width + .max(self.work1.r.bit_len()); + self.control.sign ^= self.work1.r.negative; + } + if !self.control.phase1 && self.control.phase2 && self.work2.l_r_prime > 0 { + self.control.sign ^= true; + } + if !self.control.phase1 + && self.work2.l_r_prime > 0 + && (!self.control.phase2 || !self.control.sign) + { + let shifted = self.work2.r_prime.shifted(self.work2.l_s); + self.work1.r = self.work1.r.add(shifted); + } + + self.control.phase2 ^= self.control.phase1; + if self.control.phase2 { + let index = self.work1.l_t + self.work1.l_q; + assert!(index < self.n + 3); + observation.swap_index = Some(index + 1); + let quotient_bit = !((self.work1.q >> self.work2.l_s) & U512::from(1u64)).is_zero(); + let sign = self.control.sign; + set_bit(&mut self.work1.q, self.work2.l_s, sign); + self.control.sign = quotient_bit; + if self.control.phase1 { + assert!(self.work1.l_q > 0); + self.work1.l_q -= 1; + } else { + self.work1.l_q += 1; + } + } + self.control.phase2 ^= self.control.phase1; + + if self.control.phase1 { + let shifted_t = self.work1.t.shifted(self.work2.l_s); + observation.coefficient_active = true; + observation.coefficient_sub_enabled = self.control.phase2 || !self.control.sign; + observation.coefficient_add_only = !observation.coefficient_sub_enabled; + observation.coefficient_t_prime_length_before = self.work2.t_prime.bit_len(); + observation.coefficient_shifted_t_length = self.work1.l_t + self.work2.l_s; + observation.coefficient_target_above_t = + self.work2.t_prime.bit_len() > self.work1.l_t + self.work2.l_s; + observation.coefficient_less_than = observation.coefficient_sub_enabled + && self.work2.t_prime.magnitude < shifted_t.magnitude; + } + if self.control.phase1 && (self.control.phase2 || !self.control.sign) { + self.work2.t_prime = self.work2.t_prime.sub(self.work1.t.shifted(self.work2.l_s)); + observation.max_intermediate_width = observation + .max_intermediate_width + .max(self.work2.t_prime.bit_len()); + } + if self.control.phase1 { + observation.t_window_end = Some(self.work1.l_t + 1); + self.control.sign ^= true; + self.control.sign ^= self.work2.t_prime.negative; + self.work2.t_prime = self.work2.t_prime.add(self.work1.t.shifted(self.work2.l_s)); + observation.coefficient_t_prime_length_after = self.work2.t_prime.bit_len(); + } + + if self.control.phase1 { + self.work2.l_s += 1; + } + if self.control.phase1 && self.control.phase2 { + assert!(self.work2.l_s >= 2); + self.work2.l_s -= 2; + } + + if self.work1.l_q == 0 && self.work2.l_r_prime > 0 { + self.control.phase2 ^= self.control.sign ^ self.control.phase1; + self.control.sign ^= self.control.phase2; + } + if self.work2.l_s == 0 { + self.control.phase1 ^= true; + self.control.phase2 ^= true; + } + + if self.work1.l_q == 0 && self.work2.l_s == 0 { + observation.length_update = true; + assert!(self.work1.q.is_zero()); + assert!(!self.work1.r.negative); + assert!(!self.work2.r_prime.negative); + let old_r_prime = self.work2.r_prime; + let old_l_r_prime = self.work2.l_r_prime; + let next_l_r_prime = self.work1.r.bit_len(); + observation.transient_l_r_prime = next_l_r_prime; + observation.accepted_remainder_update = old_l_r_prime > 0; + observation.terminal_padding_length_update = old_l_r_prime == 0; + observation.accepted_remainder_strictly_decreased = + old_l_r_prime == 0 || self.work1.r.magnitude < old_r_prime.magnitude; + observation.accepted_length_nonincreasing = + old_l_r_prime == 0 || next_l_r_prime <= old_l_r_prime; + std::mem::swap(&mut self.work1.t, &mut self.work2.t_prime); + std::mem::swap(&mut self.work1.r, &mut self.work2.r_prime); + self.work1.l_t = self.work1.t.bit_len(); + self.work2.l_r_prime = self.work2.r_prime.bit_len(); + self.control.iter ^= true; + } + + let (work1_used, work2_used) = self.assert_boundary_invariants(); + observation.work1_used = work1_used; + observation.work2_used = work2_used; + observation.l_t = self.work1.l_t; + observation.l_q = self.work1.l_q; + observation.l_r_prime = self.work2.l_r_prime; + observation.l_s = self.work2.l_s; + observation.max_intermediate_width = observation + .max_intermediate_width + .max(self.work1.r.bit_len()) + .max(self.work2.t_prime.bit_len()); + observation.terminated = self.work2.l_r_prime == 0; + observation + } +} + +/// Generate an exact reduced-width packed trace from the classical oracle. +#[must_use] +pub fn register_shared_small_packed_trace( + input: u64, + modulus: u64, + n: usize, + steps: usize, +) -> Vec { + assert!(n > 0 && n + 3 < 64); + assert!(input > 0 && input < modulus); + let mut state = State::new(U512::from(modulus), U512::from(input), n); + let mut trace = Vec::with_capacity(steps + 1); + trace.push(state.packed_snapshot(0)); + for step in 1..=steps { + state.step(step); + trace.push(state.packed_snapshot(step)); + } + trace +} + +fn run_with_modulus( + input: U512, + modulus: U512, + n: usize, + steps: usize, + mut observe: F, +) -> RegisterSharedFactorAudit +where + F: FnMut(RegisterSharedStepObservation), +{ + let mut state = State::new(modulus, input, n); + let mut swaps = 0usize; + let mut first_termination_step = None; + let mut maximum_work1_used = 0usize; + let mut maximum_work2_used = 0usize; + let mut maximum_shift = 0usize; + let mut maximum_intermediate_width = 0usize; + let initial_reflected_l_r_prime = state.work2.l_r_prime; + let mut maximum_boundary_l_r_prime = initial_reflected_l_r_prime; + let mut maximum_transient_l_r_prime = initial_reflected_l_r_prime; + let mut accepted_remainder_updates = 0usize; + let mut terminal_padding_length_updates = 0usize; + let mut accepted_remainder_strict_decrease_failures = 0usize; + let mut accepted_length_increase_failures = 0usize; + let mut boundary_l_r_prime_256_observations = + usize::from(initial_reflected_l_r_prime == SECP256K1_BITS); + let mut transient_l_r_prime_256_observations = + usize::from(initial_reflected_l_r_prime == SECP256K1_BITS); + for step in 1..=steps { + let observation = state.step(step); + swaps += usize::from(observation.length_update); + if observation.terminated && first_termination_step.is_none() { + first_termination_step = Some(step); + } + maximum_work1_used = maximum_work1_used.max(observation.work1_used); + maximum_work2_used = maximum_work2_used.max(observation.work2_used); + maximum_shift = maximum_shift.max(observation.l_s); + maximum_intermediate_width = + maximum_intermediate_width.max(observation.max_intermediate_width); + maximum_boundary_l_r_prime = maximum_boundary_l_r_prime + .max(observation.l_r_prime_before) + .max(observation.l_r_prime); + maximum_transient_l_r_prime = + maximum_transient_l_r_prime.max(observation.transient_l_r_prime); + accepted_remainder_updates += usize::from(observation.accepted_remainder_update); + terminal_padding_length_updates += usize::from(observation.terminal_padding_length_update); + accepted_remainder_strict_decrease_failures += usize::from( + observation.accepted_remainder_update + && !observation.accepted_remainder_strictly_decreased, + ); + accepted_length_increase_failures += usize::from( + observation.accepted_remainder_update && !observation.accepted_length_nonincreasing, + ); + boundary_l_r_prime_256_observations += usize::from( + observation.l_r_prime_before == SECP256K1_BITS + || observation.l_r_prime == SECP256K1_BITS, + ); + transient_l_r_prime_256_observations += + usize::from(observation.transient_l_r_prime == SECP256K1_BITS); + observe(observation); + } + + let signed_inverse = if state.control.iter { + state.work2.t_prime + } else { + state.work2.t_prime.negated() + }; + let inverse = signed_inverse.to_mod(modulus); + let inverse_identity_holds = (input * inverse) % modulus == U512::from(1u64); + let terminal_gcd_state_holds = state.work1.r == Signed512::unsigned(U512::from(1u64)) + && state.work2.r_prime == Signed512::ZERO + && state.work1.q.is_zero() + && state.work1.l_q == 0 + && state.work2.l_r_prime == 0; + let terminal_layout_holds = terminal_gcd_state_holds + && state.work1.t == Signed512::unsigned(modulus) + && state.work1.l_t == bit_len(modulus) + && !state.work2.t_prime.negative + && !state.control.phase1 + && !state.control.phase2 + && !state.control.sign; + RegisterSharedFactorAudit { + steps, + euclidean_swaps: swaps, + first_termination_step, + terminal_padding_steps: first_termination_step + .map_or(0, |termination| steps.saturating_sub(termination)), + maximum_work1_used, + maximum_work2_used, + maximum_shift, + maximum_intermediate_width, + initial_reflected_l_r_prime, + maximum_boundary_l_r_prime, + maximum_transient_l_r_prime, + accepted_remainder_updates, + terminal_padding_length_updates, + accepted_remainder_strict_decrease_failures, + accepted_length_increase_failures, + boundary_l_r_prime_256_observations, + transient_l_r_prime_256_observations, + final_l_t: state.work1.l_t, + final_l_q: state.work1.l_q, + final_l_r_prime: state.work2.l_r_prime, + final_l_s: state.work2.l_s, + inverse_identity_holds, + terminal_gcd_state_holds, + terminal_layout_holds, + } +} + +pub fn audit_secp256k1_factor(factor: U256, observe: F) -> RegisterSharedFactorAudit +where + F: FnMut(RegisterSharedStepObservation), +{ + run_with_modulus( + widen(factor), + secp256k1_modulus(), + SECP256K1_BITS, + REGISTER_SHARED_REFERENCE_STEPS, + observe, + ) +} + +/// Exhaustively prove the reflected-denominator and accepted-remainder length +/// bounds for every reduced-width modulus and nonzero input through eight bits. +#[must_use] +pub fn exhaustive_no_transient_remainder_length_check() -> RegisterSharedNoTransientLengthProofReport +{ + let mut report = RegisterSharedNoTransientLengthProofReport::default(); + for n in 2usize..=8 { + report.widths_checked += 1; + let lower = (1u64 << (n - 1)) + 1; + let upper = 1u64 << n; + for modulus in (lower..upper).filter(|value| value & 1 == 1) { + report.moduli_checked += 1; + for input in 1..modulus { + let steps = 12 * n; + let audit = + run_with_modulus(U512::from(input), U512::from(modulus), n, steps, |_| {}); + report.inputs_checked += 1; + report.schedule_steps_checked += steps; + report.accepted_remainder_updates += audit.accepted_remainder_updates; + report.terminal_padding_length_updates += audit.terminal_padding_length_updates; + report.maximum_initial_length = report + .maximum_initial_length + .max(audit.initial_reflected_l_r_prime); + report.maximum_boundary_length = report + .maximum_boundary_length + .max(audit.maximum_boundary_l_r_prime); + report.maximum_transient_length = report + .maximum_transient_length + .max(audit.maximum_transient_l_r_prime); + report.strict_decrease_failures += + audit.accepted_remainder_strict_decrease_failures; + report.length_increase_failures += audit.accepted_length_increase_failures; + report.out_of_range_failures += usize::from( + audit.initial_reflected_l_r_prime >= n + || audit.maximum_boundary_l_r_prime >= n + || audit.maximum_transient_l_r_prime >= n, + ); + } + } + } + report +} + +pub fn register_shared_eea_selftest() { + let seven = Signed512::unsigned(U512::from(7u64)); + let eleven = Signed512::unsigned(U512::from(11u64)); + assert_eq!(seven.sub(eleven).add(eleven), seven); + assert_eq!( + eleven.sub(seven).sub(seven), + Signed512::unsigned(U512::from(3u64)).negated() + ); + + let audit = run_with_modulus(U512::from(13u64), U512::from(37u64), 6, 36, |_| {}); + assert!(audit.inverse_identity_holds); + assert!(audit.terminal_gcd_state_holds); + assert!(audit.maximum_work1_used <= 9); + assert!(audit.maximum_work2_used <= 9); +} + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn explicit_selftest_passes() { + register_shared_eea_selftest(); + } +} diff --git a/src/point_add/trailmix_port/inversion/register_shared_eea_ls_parity.rs b/src/point_add/trailmix_port/inversion/register_shared_eea_ls_parity.rs new file mode 100644 index 00000000..7623066a --- /dev/null +++ b/src/point_add/trailmix_port/inversion/register_shared_eea_ls_parity.rs @@ -0,0 +1,560 @@ +//! Proof harness for omitting the physical low bit of `l_s`. +//! +//! At every completed scheduled-step boundary, `l_s mod 2 = step mod 2`. +//! This module proves the gate-level pre/post-shift consequences before the +//! representation is admitted into the production divider. + +use super::register_shared_eea_microkernels::{ + post_shift, post_shift_inverse, pre_shift, pre_shift_inverse, +}; +use crate::circuit::{OperationType, QubitId}; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use crate::point_add::B; +use crate::sim::Simulator; +use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, +}; + +const PRODUCTION_HIGH_WIDTH: usize = 8; +const PRODUCTION_WORK_WIDTH: usize = 259; +const REDUCED_WORK_WIDTH: usize = 4; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum ProofMode { + Pre, + Post, + RoundTrip, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct InputState { + phase1: bool, + phase2: bool, + high: usize, + work: u64, + work_seed: Option, +} + +struct Harness { + builder: B, + phase1: u32, + phase2: u32, + work: Vec, + high: Vec, + low_or_host: u32, + external: Vec, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct LsParityProofReport { + pub high_widths_checked: Vec, + pub modes_checked: usize, + pub step_parities_checked: usize, + pub reduced_basis_states_checked: usize, + pub production_sample_states_checked: usize, + pub logical_register_checks: usize, + pub host_restoration_checks: usize, + pub phase_checks: usize, + pub ancilla_cleanup_checks: usize, + pub production_baseline_ops: [usize; 3], + pub production_candidate_ops: [usize; 3], + pub production_baseline_toffoli: [usize; 3], + pub production_candidate_toffoli: [usize; 3], +} + +fn free_clean(circ: &mut Circuit, registers: Vec) { + for register in registers { + circ.zero_and_free(register); + } +} + +fn materialize_constant(circ: &mut Circuit, host: &QReg, value: bool) { + if value { + circ.x(host); + } +} + +/// Toggle `host` by `p xor 1 xor phase1`, where `p` is the entry parity. +fn toggle_mid_parity(circ: &mut Circuit, host: &QReg, phase1: &QReg, p: bool) { + if !p { + circ.x(host); + } + circ.cx(phase1, host); +} + +fn full_view<'a>(host: &'a QReg, high: &'a [QReg]) -> Vec<&'a QReg> { + std::iter::once(host).chain(high).collect() +} + +fn run_candidate_mode( + circ: &mut Circuit, + mode: ProofMode, + p: bool, + phase1: &QReg, + phase2: &QReg, + work: &[QReg], + high: &[QReg], + host: &QReg, +) { + match mode { + ProofMode::Pre => { + materialize_constant(circ, host, p); + let view = full_view(host, high); + let scratch = circ.alloc_qreg_bits("ls-parity.pre.scratch", view.len() + 4); + let owned_view = view + .iter() + .map(|lane| lane.borrowed_alias()) + .collect::>(); + pre_shift(circ, phase1, phase2, work, &owned_view, &scratch); + free_clean(circ, scratch); + toggle_mid_parity(circ, host, phase1, p); + } + ProofMode::Post => { + toggle_mid_parity(circ, host, phase1, p); + let view = full_view(host, high); + let scratch = circ.alloc_qreg_bits("ls-parity.post.scratch", view.len() + 4); + let owned_view = view + .iter() + .map(|lane| lane.borrowed_alias()) + .collect::>(); + post_shift(circ, phase1, phase2, work, &owned_view, &scratch); + free_clean(circ, scratch); + materialize_constant(circ, host, !p); + } + ProofMode::RoundTrip => { + materialize_constant(circ, host, p); + let view = full_view(host, high); + let owned_view = view + .iter() + .map(|lane| lane.borrowed_alias()) + .collect::>(); + let pre_scratch = + circ.alloc_qreg_bits("ls-parity.roundtrip.pre.scratch", view.len() + 4); + pre_shift(circ, phase1, phase2, work, &owned_view, &pre_scratch); + free_clean(circ, pre_scratch); + toggle_mid_parity(circ, host, phase1, p); + + toggle_mid_parity(circ, host, phase1, p); + let post_scratch = + circ.alloc_qreg_bits("ls-parity.roundtrip.post.scratch", view.len() + 4); + post_shift(circ, phase1, phase2, work, &owned_view, &post_scratch); + free_clean(circ, post_scratch); + materialize_constant(circ, host, !p); + + materialize_constant(circ, host, !p); + let post_inverse_scratch = + circ.alloc_qreg_bits("ls-parity.roundtrip.post-inverse.scratch", view.len() + 4); + post_shift_inverse( + circ, + phase1, + phase2, + work, + &owned_view, + &post_inverse_scratch, + ); + free_clean(circ, post_inverse_scratch); + toggle_mid_parity(circ, host, phase1, p); + + toggle_mid_parity(circ, host, phase1, p); + let pre_inverse_scratch = + circ.alloc_qreg_bits("ls-parity.roundtrip.pre-inverse.scratch", view.len() + 4); + pre_shift_inverse( + circ, + phase1, + phase2, + work, + &owned_view, + &pre_inverse_scratch, + ); + free_clean(circ, pre_inverse_scratch); + materialize_constant(circ, host, p); + } + } +} + +fn build_harness( + candidate: bool, + mode: ProofMode, + p: bool, + high_width: usize, + work_width: usize, +) -> Harness { + assert!(high_width > 0); + assert!(work_width >= 3); + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("ls-parity.phase1"); + let phase2 = circ.alloc_qreg("ls-parity.phase2"); + let work = circ.alloc_qreg_bits("ls-parity.work", work_width); + let high = circ.alloc_qreg_bits("ls-parity.high", high_width); + let low_or_host = circ.alloc_qreg("ls-parity.low-or-host"); + + if candidate { + run_candidate_mode( + &mut circ, + mode, + p, + &phase1, + &phase2, + &work, + &high, + &low_or_host, + ); + } else { + let full = std::iter::once(low_or_host.borrowed_alias()) + .chain(high.iter().map(QReg::borrowed_alias)) + .collect::>(); + match mode { + ProofMode::Pre => { + let scratch = circ.alloc_qreg_bits("ls-parity.baseline.pre", full.len() + 4); + pre_shift(&mut circ, &phase1, &phase2, &work, &full, &scratch); + free_clean(&mut circ, scratch); + } + ProofMode::Post => { + let scratch = circ.alloc_qreg_bits("ls-parity.baseline.post", full.len() + 4); + post_shift(&mut circ, &phase1, &phase2, &work, &full, &scratch); + free_clean(&mut circ, scratch); + } + ProofMode::RoundTrip => { + let pre_scratch = circ.alloc_qreg_bits("ls-parity.baseline.pre", full.len() + 4); + pre_shift(&mut circ, &phase1, &phase2, &work, &full, &pre_scratch); + free_clean(&mut circ, pre_scratch); + let post_scratch = circ.alloc_qreg_bits("ls-parity.baseline.post", full.len() + 4); + post_shift(&mut circ, &phase1, &phase2, &work, &full, &post_scratch); + free_clean(&mut circ, post_scratch); + let post_inverse_scratch = + circ.alloc_qreg_bits("ls-parity.baseline.post-inverse", full.len() + 4); + post_shift_inverse( + &mut circ, + &phase1, + &phase2, + &work, + &full, + &post_inverse_scratch, + ); + free_clean(&mut circ, post_inverse_scratch); + let pre_inverse_scratch = + circ.alloc_qreg_bits("ls-parity.baseline.pre-inverse", full.len() + 4); + pre_shift_inverse( + &mut circ, + &phase1, + &phase2, + &work, + &full, + &pre_inverse_scratch, + ); + free_clean(&mut circ, pre_inverse_scratch); + } + } + } + + let phase1_id = phase1.id(); + let phase2_id = phase2.id(); + let work_ids = work.iter().map(QReg::id).collect::>(); + let high_ids = high.iter().map(QReg::id).collect::>(); + let low_or_host_id = low_or_host.id(); + let builder = circ.into_builder(); + let mut external = vec![false; builder.next_qubit as usize]; + for id in std::iter::once(phase1_id) + .chain(std::iter::once(phase2_id)) + .chain(work_ids.iter().copied()) + .chain(high_ids.iter().copied()) + .chain(std::iter::once(low_or_host_id)) + { + external[id as usize] = true; + } + Harness { + builder, + phase1: phase1_id, + phase2: phase2_id, + work: work_ids, + high: high_ids, + low_or_host: low_or_host_id, + external, + } +} + +fn splitmix64(mut value: u64) -> u64 { + value = value.wrapping_add(0x9e37_79b9_7f4a_7c15); + value = (value ^ (value >> 30)).wrapping_mul(0xbf58_476d_1ce4_e5b9); + value = (value ^ (value >> 27)).wrapping_mul(0x94d0_49bb_1331_11eb); + value ^ (value >> 31) +} + +fn state_work_bit(state: InputState, bit: usize) -> bool { + if let Some(seed) = state.work_seed { + ((splitmix64(seed ^ ((bit / 64) as u64)) >> (bit % 64)) & 1) != 0 + } else { + ((state.work >> bit) & 1) != 0 + } +} + +fn initial_low(mode: ProofMode, p: bool, phase1: bool) -> bool { + match mode { + ProofMode::Pre | ProofMode::RoundTrip => p, + ProofMode::Post => p ^ true ^ phase1, + } +} + +fn expected_output_low(mode: ProofMode, p: bool, phase1: bool) -> bool { + match mode { + ProofMode::Pre => p ^ true ^ phase1, + ProofMode::Post => !p, + ProofMode::RoundTrip => p, + } +} + +fn load_harness( + simulator: &mut Simulator<'_, R>, + harness: &Harness, + states: &[InputState], + mode: ProofMode, + p: bool, + baseline: bool, +) -> u64 { + assert!(states.len() <= 64); + let active = if states.len() == 64 { + u64::MAX + } else { + (1u64 << states.len()) - 1 + }; + let mask = |predicate: fn(InputState) -> bool| -> u64 { + states.iter().enumerate().fold(0u64, |bits, (shot, state)| { + bits | ((predicate(*state) as u64) << shot) + }) + }; + *simulator.qubit_mut(QubitId(u64::from(harness.phase1))) = mask(|state| state.phase1); + *simulator.qubit_mut(QubitId(u64::from(harness.phase2))) = mask(|state| state.phase2); + for (bit, &id) in harness.work.iter().enumerate() { + let value = states.iter().enumerate().fold(0u64, |bits, (shot, state)| { + bits | ((state_work_bit(*state, bit) as u64) << shot) + }); + *simulator.qubit_mut(QubitId(u64::from(id))) = value; + } + for (bit, &id) in harness.high.iter().enumerate() { + let value = states.iter().enumerate().fold(0u64, |bits, (shot, state)| { + bits | ((((state.high >> bit) & 1) as u64) << shot) + }); + *simulator.qubit_mut(QubitId(u64::from(id))) = value; + } + if baseline { + let value = states.iter().enumerate().fold(0u64, |bits, (shot, state)| { + bits | ((initial_low(mode, p, state.phase1) as u64) << shot) + }); + *simulator.qubit_mut(QubitId(u64::from(harness.low_or_host))) = value; + } + active +} + +fn new_simulator<'a>( + harness: &Harness, + seed: &'static [u8], + xof: &'a mut sha3::Shake128Reader, +) -> Simulator<'a, sha3::Shake128Reader> { + let mut hasher = Shake128::default(); + hasher.update(seed); + *xof = hasher.finalize_xof(); + Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + xof, + ) +} + +fn assert_equal_mask(label: &str, left: u64, right: u64, active: u64) { + let difference = (left ^ right) & active; + assert_eq!( + difference, + 0, + "{label}: first differing shot {}", + difference.trailing_zeros() + ); +} + +fn prove_batch( + baseline: &Harness, + candidate: &Harness, + states: &[InputState], + mode: ProofMode, + p: bool, + report: &mut LsParityProofReport, +) { + let mut baseline_xof = Shake128::default().finalize_xof(); + let mut candidate_xof = Shake128::default().finalize_xof(); + let mut baseline_sim = new_simulator(baseline, b"ls-parity-baseline", &mut baseline_xof); + let mut candidate_sim = new_simulator(candidate, b"ls-parity-candidate", &mut candidate_xof); + let active = load_harness(&mut baseline_sim, baseline, states, mode, p, true); + assert_eq!( + load_harness(&mut candidate_sim, candidate, states, mode, p, false), + active + ); + baseline_sim.apply_iter(baseline.builder.ops.iter()); + candidate_sim.apply_iter(candidate.builder.ops.iter()); + + for (&baseline_id, &candidate_id) in baseline.work.iter().zip(&candidate.work) { + assert_equal_mask( + "work", + baseline_sim.qubit(QubitId(u64::from(baseline_id))), + candidate_sim.qubit(QubitId(u64::from(candidate_id))), + active, + ); + report.logical_register_checks += states.len(); + } + for (&baseline_id, &candidate_id) in baseline.high.iter().zip(&candidate.high) { + assert_equal_mask( + "high l_s", + baseline_sim.qubit(QubitId(u64::from(baseline_id))), + candidate_sim.qubit(QubitId(u64::from(candidate_id))), + active, + ); + report.logical_register_checks += states.len(); + } + for (&baseline_id, &candidate_id) in [baseline.phase1, baseline.phase2] + .iter() + .zip([candidate.phase1, candidate.phase2].iter()) + { + assert_equal_mask( + "controls", + baseline_sim.qubit(QubitId(u64::from(baseline_id))), + candidate_sim.qubit(QubitId(u64::from(candidate_id))), + active, + ); + report.logical_register_checks += states.len(); + } + + let expected_low = states.iter().enumerate().fold(0u64, |bits, (shot, state)| { + bits | ((expected_output_low(mode, p, state.phase1) as u64) << shot) + }); + assert_equal_mask( + "baseline low l_s", + baseline_sim.qubit(QubitId(u64::from(baseline.low_or_host))), + expected_low, + active, + ); + assert_equal_mask( + "candidate host restoration", + candidate_sim.qubit(QubitId(u64::from(candidate.low_or_host))), + 0, + active, + ); + report.host_restoration_checks += states.len(); + + assert_equal_mask("phase", baseline_sim.phase, candidate_sim.phase, active); + assert_equal_mask("baseline phase", baseline_sim.phase, 0, active); + report.phase_checks += states.len(); + + for (id, &external) in baseline.external.iter().enumerate() { + if !external { + assert_equal_mask( + "baseline ancilla", + baseline_sim.qubit(QubitId(id as u64)), + 0, + active, + ); + } + } + for (id, &external) in candidate.external.iter().enumerate() { + if !external { + assert_equal_mask( + "candidate ancilla", + candidate_sim.qubit(QubitId(id as u64)), + 0, + active, + ); + } + } + report.ancilla_cleanup_checks += states.len(); +} + +fn emitted_toffoli(builder: &B) -> usize { + builder + .ops + .iter() + .filter(|op| matches!(op.kind, OperationType::CCX | OperationType::CCZ)) + .count() +} + +fn mode_index(mode: ProofMode) -> usize { + match mode { + ProofMode::Pre => 0, + ProofMode::Post => 1, + ProofMode::RoundTrip => 2, + } +} + +#[must_use] +pub fn prove_ls_parity_shift_representation() -> LsParityProofReport { + let modes = [ProofMode::Pre, ProofMode::Post, ProofMode::RoundTrip]; + let mut report = LsParityProofReport { + high_widths_checked: (1..=PRODUCTION_HIGH_WIDTH).collect(), + modes_checked: modes.len(), + step_parities_checked: 2, + reduced_basis_states_checked: 0, + production_sample_states_checked: 0, + logical_register_checks: 0, + host_restoration_checks: 0, + phase_checks: 0, + ancilla_cleanup_checks: 0, + production_baseline_ops: [0; 3], + production_candidate_ops: [0; 3], + production_baseline_toffoli: [0; 3], + production_candidate_toffoli: [0; 3], + }; + + for high_width in 1..=PRODUCTION_HIGH_WIDTH { + for mode in modes { + for p in [false, true] { + let baseline = build_harness(false, mode, p, high_width, REDUCED_WORK_WIDTH); + let candidate = build_harness(true, mode, p, high_width, REDUCED_WORK_WIDTH); + let mut states = Vec::new(); + for phase1 in [false, true] { + for phase2 in [false, true] { + for high in 0..(1usize << high_width) { + for work in 0..(1u64 << REDUCED_WORK_WIDTH) { + states.push(InputState { + phase1, + phase2, + high, + work, + work_seed: None, + }); + } + } + } + } + for batch in states.chunks(64) { + prove_batch(&baseline, &candidate, batch, mode, p, &mut report); + } + report.reduced_basis_states_checked += states.len(); + } + } + } + + for mode in modes { + let index = mode_index(mode); + for p in [false, true] { + let baseline = + build_harness(false, mode, p, PRODUCTION_HIGH_WIDTH, PRODUCTION_WORK_WIDTH); + let candidate = + build_harness(true, mode, p, PRODUCTION_HIGH_WIDTH, PRODUCTION_WORK_WIDTH); + report.production_baseline_ops[index] += baseline.builder.ops.len(); + report.production_candidate_ops[index] += candidate.builder.ops.len(); + report.production_baseline_toffoli[index] += emitted_toffoli(&baseline.builder); + report.production_candidate_toffoli[index] += emitted_toffoli(&candidate.builder); + let states = (0..64u64) + .map(|shot| InputState { + phase1: (shot & 1) != 0, + phase2: (shot & 2) != 0, + high: (splitmix64(shot ^ 0x6c73_7061_7269_7479) as usize) + & ((1usize << PRODUCTION_HIGH_WIDTH) - 1), + work: 0, + work_seed: Some(shot ^ 0x7168_6967_682d_7769), + }) + .collect::>(); + prove_batch(&baseline, &candidate, &states, mode, p, &mut report); + report.production_sample_states_checked += states.len(); + } + } + + report +} diff --git a/src/point_add/trailmix_port/inversion/register_shared_eea_microkernels.rs b/src/point_add/trailmix_port/inversion/register_shared_eea_microkernels.rs new file mode 100644 index 00000000..e86778f8 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/register_shared_eea_microkernels.rs @@ -0,0 +1,1736 @@ +//! Gate-level primitives and liveness checks for the register-sharing EEA. +//! +//! The module contains the allocation-free rotations, length arithmetic, and +//! control primitives used by the staged port. No complete inversion or +//! challenge-width claim follows from these component proofs. + +use crate::circuit::{Op, OperationType}; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use crate::point_add::B; + +pub const WORK_BITS: usize = 259; +pub const FIELD_PASSENGER_BITS: usize = 257; +pub const LENGTH_BITS: [usize; 4] = [10, 10, 10, 11]; +pub const REFERENCE_LENGTH_BITS: [usize; 4] = [9, 9, 9, 9]; +pub const REFERENCE_SCRATCH_POOLS: [usize; 11] = [11, 13, 13, 2, 22, 1, 22, 1, 3, 5, 4]; +pub const CONTROL_BITS: usize = 4; +pub const PROJECTED_INVERSION_PEAK: usize = + 2 * WORK_BITS + FIELD_PASSENGER_BITS + 41 + CONTROL_BITS; +pub const REFERENCE_PORT_PEAK: usize = + 2 * WORK_BITS + FIELD_PASSENGER_BITS + 36 + CONTROL_BITS + 97; + +/// Explicit proof/profile override for the register-shared decrement stream. +pub const REGISTER_SHARED_REVERSE_DECREMENT_STREAM_ENV: &str = + "LOWQ_REGISTER_SHARED_REVERSE_DECREMENT_STREAM"; + +/// Source-bake point for the exact reverse-decrement stream. +/// +/// Keep this off until the focused proof and the count-only production profile +/// have both passed. An explicit `0` or `1` environment value overrides this +/// fallback for isolated proof/profile processes. +pub const REGISTER_SHARED_REVERSE_DECREMENT_STREAM_SOURCE_BAKE: bool = false; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub enum ReversibleDecrementStream { + LegacyComplementedBorrow, + ExactReverseIncrement, +} + +#[must_use] +pub fn production_decrement_stream() -> ReversibleDecrementStream { + static STREAM: std::sync::OnceLock = std::sync::OnceLock::new(); + + *STREAM.get_or_init(|| { + let enabled = match std::env::var(REGISTER_SHARED_REVERSE_DECREMENT_STREAM_ENV) { + Ok(value) => match value.as_str() { + "0" => false, + "1" => true, + _ => panic!( + "{REGISTER_SHARED_REVERSE_DECREMENT_STREAM_ENV} must be exactly 0 or 1, got {value:?}" + ), + }, + Err(std::env::VarError::NotPresent) => { + REGISTER_SHARED_REVERSE_DECREMENT_STREAM_SOURCE_BAKE + } + Err(error) => { + panic!("invalid {REGISTER_SHARED_REVERSE_DECREMENT_STREAM_ENV}: {error}") + } + }; + if enabled { + ReversibleDecrementStream::ExactReverseIncrement + } else { + ReversibleDecrementStream::LegacyComplementedBorrow + } + }) +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct RegisterSharedGateCounts { + pub x: usize, + pub cx: usize, + pub ccx: usize, + pub total: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct RegisterSharedShiftWidthReport { + pub width: usize, + pub basis_states_checked: usize, + pub forward: RegisterSharedGateCounts, + pub reverse: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct RegisterSharedShiftProofReport { + pub widths_checked: usize, + pub basis_states_checked: usize, + pub allocation_free_streams_checked: usize, + pub phase_clean_streams_checked: usize, + pub widths: Vec, + pub work259_shift_toffoli: usize, + pub legacy_schematic_four_rotations_toffoli: usize, + pub reference_steps: usize, + pub legacy_schematic_four_rotations_total_toffoli: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct RegisterSharedLengthProofReport { + pub widths_checked: usize, + pub basis_states_checked: usize, + pub scratch_clean_checks: usize, + pub inverse_pair_checks: usize, + pub increment9: RegisterSharedGateCounts, + pub decrement9: RegisterSharedGateCounts, + pub controlled_increment9: RegisterSharedGateCounts, + pub controlled_decrement9: RegisterSharedGateCounts, + pub two_control_add_one9: RegisterSharedGateCounts, + pub two_control_sub_one9: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct RegisterSharedReverseDecrementWidthReport { + pub width: usize, + pub direct_basis_states: usize, + pub controlled_basis_states: usize, + pub increment: RegisterSharedGateCounts, + pub legacy_decrement: RegisterSharedGateCounts, + pub exact_reverse_decrement: RegisterSharedGateCounts, + pub controlled_increment: RegisterSharedGateCounts, + pub legacy_controlled_decrement: RegisterSharedGateCounts, + pub exact_reverse_controlled_decrement: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct RegisterSharedReverseDecrementProofReport { + pub widths_checked: usize, + pub direct_basis_states_checked: usize, + pub controlled_basis_states_checked: usize, + pub exact_reverse_stream_checks: usize, + pub scalar_forward_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_streams_checked: usize, + pub ancilla_clean_checks: usize, + pub allocation_profile_checks: usize, + pub toffoli_preservation_checks: usize, + pub local_legacy_ops: usize, + pub local_exact_reverse_ops: usize, + pub local_ops_removed: usize, + pub widths: Vec, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct RegisterSharedControlProofReport { + pub work_swap_widths_checked: usize, + pub work_swap_basis_states_checked: usize, + pub work_swap_inverse_checks: usize, + pub work259_swap: RegisterSharedGateCounts, + pub phase_update_basis_states_checked: usize, + pub phase_update_scratch_clean_checks: usize, + pub phase_update: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct RegisterSharedPrePostProofReport { + pub work_widths_checked: usize, + pub basis_states_checked: usize, + pub scratch_clean_checks: usize, + pub inverse_pair_checks: usize, + pub pre_shift259_length9: RegisterSharedGateCounts, + pub pre_shift259_length9_inverse: RegisterSharedGateCounts, + pub post_shift259_length9: RegisterSharedGateCounts, + pub post_shift259_length9_inverse: RegisterSharedGateCounts, + pub emitted_rotations_per_step: usize, + pub reference_steps: usize, + pub total_pre_post_toffoli: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct RegisterSharedBarrelProofReport { + pub widths_checked: usize, + pub basis_states_checked: usize, + pub inverse_pair_checks: usize, + pub work259_amount9_high: RegisterSharedGateCounts, + pub work259_amount9_low: RegisterSharedGateCounts, + pub toffoli_per_direction: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct RegisterSharedAllocationReport { + pub paper_core_peak_qubits: usize, + pub paper_core_final_active_qubits: usize, + pub paper_core_reset_operations: usize, + pub reference_port_peak_qubits: usize, + pub reference_port_final_active_qubits: usize, + pub reference_port_reset_operations: usize, + pub reference_port_scratch_bits: usize, + pub input_dx_bits: usize, + pub passenger_bits: usize, + pub work1_bits: usize, + pub work2_bits: usize, + pub paper_length_bits: usize, + pub reference_length_bits: usize, + pub control_bits: usize, +} + +/// Controlled cyclic rotation toward lower wire indices. +pub fn controlled_rotate_low(circ: &mut Circuit, control: &QReg, register: &[QReg]) { + for index in 0..register.len().saturating_sub(1) { + circ.cswap(control, ®ister[index], ®ister[index + 1]); + } +} + +/// Exact inverse of [`controlled_rotate_low`]. +pub fn controlled_rotate_high(circ: &mut Circuit, control: &QReg, register: &[QReg]) { + for index in (0..register.len().saturating_sub(1)).rev() { + circ.cswap(control, ®ister[index], ®ister[index + 1]); + } +} + +fn controlled_rotate_high_two(circ: &mut Circuit, control: &QReg, register: &[QReg]) { + for index in (0..register.len().saturating_sub(2)).rev() { + circ.cswap(control, ®ister[index], ®ister[index + 1]); + circ.cswap(control, ®ister[index + 1], ®ister[index + 2]); + } +} + +fn controlled_rotate_high_two_inverse(circ: &mut Circuit, control: &QReg, register: &[QReg]) { + for index in 0..register.len().saturating_sub(2) { + circ.cswap(control, ®ister[index + 1], ®ister[index + 2]); + circ.cswap(control, ®ister[index], ®ister[index + 1]); + } +} + +fn gcd(mut left: usize, mut right: usize) -> usize { + while right != 0 { + let remainder = left % right; + left = right; + right = remainder; + } + left +} + +/// Controlled cyclic rotation toward higher wire indices by an arbitrary offset. +/// Each permutation cycle is emitted with a pivot and `cycle_len - 1` Fredkins. +pub fn controlled_rotate_high_by( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + offset: usize, +) { + let width = register.len(); + if width < 2 { + return; + } + let offset = offset % width; + if offset == 0 { + return; + } + let cycles = gcd(width, offset); + for start in 0..cycles { + let mut current = (start + offset) % width; + while current != start { + circ.cswap(control, ®ister[start], ®ister[current]); + current = (current + offset) % width; + } + } +} + +/// Exact inverse of [`controlled_rotate_high_by`]. +pub fn controlled_rotate_low_by( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + offset: usize, +) { + let width = register.len(); + if width < 2 { + return; + } + controlled_rotate_high_by(circ, control, register, width - (offset % width)); +} + +/// Reference-view variant of [`controlled_rotate_high_by`]. +/// +/// This permits the same allocation-free permutation to act on a reversed or +/// otherwise borrowed view of a packed register. +pub fn controlled_rotate_high_by_refs( + circ: &mut Circuit, + control: &QReg, + register: &[&QReg], + offset: usize, +) { + let width = register.len(); + if width < 2 { + return; + } + let offset = offset % width; + if offset == 0 { + return; + } + let cycles = gcd(width, offset); + for start in 0..cycles { + let mut current = (start + offset) % width; + while current != start { + circ.cswap(control, register[start], register[current]); + current = (current + offset) % width; + } + } +} + +/// Exact inverse of [`controlled_rotate_high_by_refs`]. +pub fn controlled_rotate_low_by_refs( + circ: &mut Circuit, + control: &QReg, + register: &[&QReg], + offset: usize, +) { + let width = register.len(); + if width < 2 { + return; + } + controlled_rotate_high_by_refs(circ, control, register, width - (offset % width)); +} + +/// Rotate by the little-endian quantum amount without allocating scratch. +pub fn variable_rotate_high(circ: &mut Circuit, amount: &[QReg], register: &[QReg]) { + if register.len() < 2 { + return; + } + let mut offset = 1 % register.len(); + for control in amount { + controlled_rotate_high_by(circ, control, register, offset); + offset = (2 * offset) % register.len(); + } +} + +/// Exact inverse of [`variable_rotate_high`]. +pub fn variable_rotate_low(circ: &mut Circuit, amount: &[QReg], register: &[QReg]) { + if register.len() < 2 { + return; + } + let mut offsets = Vec::with_capacity(amount.len()); + let mut offset = 1 % register.len(); + for _ in amount { + offsets.push(offset); + offset = (2 * offset) % register.len(); + } + for (control, offset) in amount.iter().zip(offsets).rev() { + controlled_rotate_low_by(circ, control, register, offset); + } +} + +/// Reference-view variant of [`variable_rotate_high`]. +pub fn variable_rotate_high_refs(circ: &mut Circuit, amount: &[QReg], register: &[&QReg]) { + if register.len() < 2 { + return; + } + let mut offset = 1 % register.len(); + for control in amount { + controlled_rotate_high_by_refs(circ, control, register, offset); + offset = (2 * offset) % register.len(); + } +} + +/// Exact inverse of [`variable_rotate_high_refs`]. +pub fn variable_rotate_low_refs(circ: &mut Circuit, amount: &[QReg], register: &[&QReg]) { + if register.len() < 2 { + return; + } + let mut offsets = Vec::with_capacity(amount.len()); + let mut offset = 1 % register.len(); + for _ in amount { + offsets.push(offset); + offset = (2 * offset) % register.len(); + } + for (control, offset) in amount.iter().zip(offsets).rev() { + controlled_rotate_low_by_refs(circ, control, register, offset); + } +} + +/// Multi-controlled X using a clean v-chain. Every ancilla is restored to zero. +pub fn multi_controlled_x_vchain( + circ: &mut Circuit, + controls: &[&QReg], + target: &QReg, + ancillas: &[QReg], +) { + match controls.len() { + 0 => circ.x(target), + 1 => circ.cx(controls[0], target), + 2 => circ.ccx(controls[0], controls[1], target), + count => { + assert!(ancillas.len() >= count - 2); + circ.ccx(controls[0], controls[1], &ancillas[0]); + for index in 2..count - 1 { + circ.ccx(controls[index], &ancillas[index - 2], &ancillas[index - 1]); + } + circ.ccx(controls[count - 1], &ancillas[count - 3], target); + for index in (2..count - 1).rev() { + circ.ccx(controls[index], &ancillas[index - 2], &ancillas[index - 1]); + } + circ.ccx(controls[0], controls[1], &ancillas[0]); + } + } +} + +/// Add one modulo `2^n`, restoring the `n-1` clean carry lanes. +pub fn increment_mod_2n(circ: &mut Circuit, register: &[QReg], carries: &[QReg]) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.x(®ister[0]); + return; + } + assert!(carries.len() >= width - 1); + circ.cx(®ister[0], &carries[0]); + for index in 1..width - 1 { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(&carries[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + circ.cx(&carries[index - 1], ®ister[index]); + } + circ.cx(®ister[0], &carries[0]); + circ.x(®ister[0]); +} + +/// Subtract one modulo `2^n`, restoring the `n-1` clean borrow lanes. +pub fn decrement_mod_2n(circ: &mut Circuit, register: &[QReg], borrows: &[QReg]) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.x(®ister[0]); + return; + } + assert!(borrows.len() >= width - 1); + circ.x(®ister[0]); + circ.cx(®ister[0], &borrows[0]); + circ.x(®ister[0]); + for index in 1..width - 1 { + circ.x(®ister[index]); + circ.ccx(®ister[index], &borrows[index - 1], &borrows[index]); + circ.x(®ister[index]); + } + circ.cx(&borrows[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.x(®ister[index]); + circ.ccx(®ister[index], &borrows[index - 1], &borrows[index]); + circ.x(®ister[index]); + circ.cx(&borrows[index - 1], ®ister[index]); + } + circ.x(®ister[0]); + circ.cx(®ister[0], &borrows[0]); + circ.x(®ister[0]); + circ.x(®ister[0]); +} + +/// Subtract one by emitting the exact reversed operation stream of +/// [`increment_mod_2n`]. +pub fn decrement_mod_2n_exact_reverse_increment( + circ: &mut Circuit, + register: &[QReg], + carries: &[QReg], +) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.x(®ister[0]); + return; + } + assert!(carries.len() >= width - 1); + circ.x(®ister[0]); + circ.cx(®ister[0], &carries[0]); + for index in 1..width - 1 { + circ.cx(&carries[index - 1], ®ister[index]); + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(&carries[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(®ister[0], &carries[0]); +} + +pub fn decrement_mod_2n_with_stream( + circ: &mut Circuit, + register: &[QReg], + scratch: &[QReg], + stream: ReversibleDecrementStream, +) { + match stream { + ReversibleDecrementStream::LegacyComplementedBorrow => { + decrement_mod_2n(circ, register, scratch); + } + ReversibleDecrementStream::ExactReverseIncrement => { + decrement_mod_2n_exact_reverse_increment(circ, register, scratch); + } + } +} + +/// Production dispatcher used by the complete register-shared EEA path. +pub fn production_decrement_mod_2n(circ: &mut Circuit, register: &[QReg], scratch: &[QReg]) { + decrement_mod_2n_with_stream(circ, register, scratch, production_decrement_stream()); +} + +/// Controlled add one modulo `2^n`, restoring the clean carry lanes. +pub fn controlled_increment_mod_2n( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + carries: &[QReg], +) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.cx(control, ®ister[0]); + return; + } + assert!(carries.len() >= width - 1); + circ.ccx(control, ®ister[0], &carries[0]); + circ.cx(control, ®ister[0]); + for index in 1..width - 1 { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(&carries[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + circ.cx(&carries[index - 1], ®ister[index]); + } + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], &carries[0]); + circ.cx(control, ®ister[0]); +} + +/// Controlled subtract one modulo `2^n`, restoring the clean borrow lanes. +pub fn controlled_decrement_mod_2n( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + borrows: &[QReg], +) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.cx(control, ®ister[0]); + return; + } + assert!(borrows.len() >= width - 1); + circ.x(®ister[0]); + circ.ccx(control, ®ister[0], &borrows[0]); + circ.x(®ister[0]); + circ.cx(control, ®ister[0]); + for index in 1..width - 1 { + circ.x(®ister[index]); + circ.ccx(®ister[index], &borrows[index - 1], &borrows[index]); + circ.x(®ister[index]); + } + circ.cx(&borrows[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.x(®ister[index]); + circ.ccx(®ister[index], &borrows[index - 1], &borrows[index]); + circ.x(®ister[index]); + circ.cx(&borrows[index - 1], ®ister[index]); + } + circ.cx(control, ®ister[0]); + circ.x(®ister[0]); + circ.ccx(control, ®ister[0], &borrows[0]); + circ.x(®ister[0]); + circ.cx(control, ®ister[0]); +} + +/// Controlled subtract one emitted as the exact reversed operation stream of +/// [`controlled_increment_mod_2n`]. +pub fn controlled_decrement_mod_2n_exact_reverse_increment( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + carries: &[QReg], +) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.cx(control, ®ister[0]); + return; + } + assert!(carries.len() >= width - 1); + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], &carries[0]); + circ.cx(control, ®ister[0]); + for index in 1..width - 1 { + circ.cx(&carries[index - 1], ®ister[index]); + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(&carries[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], &carries[0]); +} + +pub fn controlled_decrement_mod_2n_with_stream( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + scratch: &[QReg], + stream: ReversibleDecrementStream, +) { + match stream { + ReversibleDecrementStream::LegacyComplementedBorrow => { + controlled_decrement_mod_2n(circ, control, register, scratch); + } + ReversibleDecrementStream::ExactReverseIncrement => { + controlled_decrement_mod_2n_exact_reverse_increment(circ, control, register, scratch); + } + } +} + +/// Production dispatcher used by the complete register-shared EEA path. +pub fn production_controlled_decrement_mod_2n( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + scratch: &[QReg], +) { + controlled_decrement_mod_2n_with_stream( + circ, + control, + register, + scratch, + production_decrement_stream(), + ); +} + +/// Add one when all controls are set. Higher bits are updated before lower bits. +pub fn controlled_add_one( + circ: &mut Circuit, + controls: &[&QReg], + register: &[QReg], + scratch: &[QReg], +) { + for index in (1..register.len()).rev() { + let mut bit_controls = Vec::with_capacity(controls.len() + index); + bit_controls.extend_from_slice(controls); + bit_controls.extend(register[..index].iter()); + multi_controlled_x_vchain(circ, &bit_controls, ®ister[index], scratch); + } + if let Some(low) = register.first() { + multi_controlled_x_vchain(circ, controls, low, scratch); + } +} + +/// Subtract one when all controls are set. +/// +/// Each v-chain is self-reversing, so the low-to-high traversal is the exact +/// operation-stream reverse of [`controlled_add_one`]. +pub fn controlled_sub_one( + circ: &mut Circuit, + controls: &[&QReg], + register: &[QReg], + scratch: &[QReg], +) { + if let Some(low) = register.first() { + multi_controlled_x_vchain(circ, controls, low, scratch); + } + for index in 1..register.len() { + let mut bit_controls = Vec::with_capacity(controls.len() + index); + bit_controls.extend_from_slice(controls); + bit_controls.extend(register[..index].iter()); + multi_controlled_x_vchain(circ, &bit_controls, ®ister[index], scratch); + } +} + +pub fn controlled_swap_registers( + circ: &mut Circuit, + control: &QReg, + left: &[QReg], + right: &[QReg], +) { + assert_eq!(left.len(), right.len()); + for (left_bit, right_bit) in left.iter().zip(right) { + circ.cswap(control, left_bit, right_bit); + } +} + +fn toggle_phase1_is_zero(circ: &mut Circuit, phase1: &QReg, target: &QReg) { + circ.x(phase1); + circ.cx(phase1, target); + circ.x(phase1); +} + +/// Published pre-shift block, including its length update and clean controls. +pub fn pre_shift( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + work2: &[QReg], + shift_length: &[QReg], + scratch: &[QReg], +) { + assert!(scratch.len() >= shift_length.len() + 1); + let phase1_is_zero = &scratch[0]; + let both = &scratch[1]; + let carries = &scratch[2..2 + shift_length.len().saturating_sub(1)]; + toggle_phase1_is_zero(circ, phase1, phase1_is_zero); + controlled_rotate_low(circ, phase1_is_zero, work2); + controlled_increment_mod_2n(circ, phase1_is_zero, shift_length, carries); + circ.ccx(phase1_is_zero, phase2, both); + controlled_rotate_high_two(circ, both, work2); + production_controlled_decrement_mod_2n(circ, both, shift_length, carries); + production_controlled_decrement_mod_2n(circ, both, shift_length, carries); + circ.ccx(phase1_is_zero, phase2, both); + toggle_phase1_is_zero(circ, phase1, phase1_is_zero); +} + +/// Exact inverse of [`pre_shift`]. +pub fn pre_shift_inverse( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + work2: &[QReg], + shift_length: &[QReg], + scratch: &[QReg], +) { + assert!(scratch.len() >= shift_length.len() + 1); + let phase1_is_zero = &scratch[0]; + let both = &scratch[1]; + let carries = &scratch[2..2 + shift_length.len().saturating_sub(1)]; + toggle_phase1_is_zero(circ, phase1, phase1_is_zero); + circ.ccx(phase1_is_zero, phase2, both); + controlled_increment_mod_2n(circ, both, shift_length, carries); + controlled_increment_mod_2n(circ, both, shift_length, carries); + controlled_rotate_high_two_inverse(circ, both, work2); + circ.ccx(phase1_is_zero, phase2, both); + production_controlled_decrement_mod_2n(circ, phase1_is_zero, shift_length, carries); + controlled_rotate_high(circ, phase1_is_zero, work2); + toggle_phase1_is_zero(circ, phase1, phase1_is_zero); +} + +/// Published post-shift block, including its length update and clean control. +pub fn post_shift( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + work2: &[QReg], + shift_length: &[QReg], + scratch: &[QReg], +) { + assert!(scratch.len() >= shift_length.len()); + let both = &scratch[0]; + let carries = &scratch[1..1 + shift_length.len().saturating_sub(1)]; + controlled_rotate_low(circ, phase1, work2); + controlled_increment_mod_2n(circ, phase1, shift_length, carries); + circ.ccx(phase1, phase2, both); + controlled_rotate_high_two(circ, both, work2); + production_controlled_decrement_mod_2n(circ, both, shift_length, carries); + production_controlled_decrement_mod_2n(circ, both, shift_length, carries); + circ.ccx(phase1, phase2, both); +} + +/// Exact inverse of [`post_shift`]. +pub fn post_shift_inverse( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + work2: &[QReg], + shift_length: &[QReg], + scratch: &[QReg], +) { + assert!(scratch.len() >= shift_length.len()); + let both = &scratch[0]; + let carries = &scratch[1..1 + shift_length.len().saturating_sub(1)]; + circ.ccx(phase1, phase2, both); + controlled_increment_mod_2n(circ, both, shift_length, carries); + controlled_increment_mod_2n(circ, both, shift_length, carries); + controlled_rotate_high_two_inverse(circ, both, work2); + circ.ccx(phase1, phase2, both); + production_controlled_decrement_mod_2n(circ, phase1, shift_length, carries); + controlled_rotate_high(circ, phase1, work2); +} + +/// Published phase-state update. Only the three length-register sign bits enter. +pub fn phase_update( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + lq_sign: &QReg, + lrp_sign: &QReg, + ls_sign: &QReg, + condition: &QReg, + temporary: &QReg, +) { + circ.x(lrp_sign); + circ.ccx(lq_sign, lrp_sign, condition); + circ.x(lrp_sign); + circ.cx(sign, temporary); + circ.cx(phase1, temporary); + circ.ccx(condition, temporary, phase2); + circ.cx(phase1, temporary); + circ.cx(sign, temporary); + circ.ccx(condition, phase2, sign); + circ.x(lrp_sign); + circ.ccx(lq_sign, lrp_sign, condition); + circ.x(lrp_sign); + circ.cx(ls_sign, phase1); + circ.cx(ls_sign, phase2); +} + +pub(crate) fn gate_counts(ops: &[Op]) -> RegisterSharedGateCounts { + let mut counts = RegisterSharedGateCounts::default(); + for op in ops { + match op.kind { + OperationType::X => counts.x += 1, + OperationType::CX => counts.cx += 1, + OperationType::CCX => counts.ccx += 1, + other => panic!("register-sharing shift emitted unexpected gate {other:?}"), + } + } + counts.total = ops.len(); + assert_eq!(counts.total, counts.x + counts.cx + counts.ccx); + counts +} + +fn build_shift(width: usize, low: bool) -> B { + assert!(width >= 2); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.shift.control"); + let register = circ.alloc_qreg_bits("rs.shift.work", width); + if low { + controlled_rotate_low(&mut circ, &control, ®ister); + } else { + controlled_rotate_high(&mut circ, &control, ®ister); + } + let builder = circ.into_builder(); + assert_eq!(builder.next_qubit as usize, width + 1); + assert_eq!(builder.active_qubits as usize, width + 1); + assert_eq!(builder.peak_qubits as usize, width + 1); + builder +} + +pub(crate) fn apply_scalar(ops: &[Op], mut state: u64) -> u64 { + let bit = |word: u64, id: u64| ((word >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => { + state ^= 1u64 << op.q_target.0; + } + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::R | OperationType::Hmr => { + state &= !(1u64 << op.q_target.0); + } + OperationType::Neg + | OperationType::Z + | OperationType::CZ + | OperationType::CCZ + | OperationType::PushCondition + | OperationType::PopCondition => {} + other => panic!("register-sharing scalar shift saw {other:?}"), + } + } + state +} + +fn rotate_low(value: u64, width: usize) -> u64 { + let mask = (1u64 << width) - 1; + ((value >> 1) | ((value & 1) << (width - 1))) & mask +} + +fn rotate_high(value: u64, width: usize) -> u64 { + let mask = (1u64 << width) - 1; + ((value << 1) | (value >> (width - 1))) & mask +} + +#[must_use] +pub fn exhaustive_register_shared_shift_check() -> RegisterSharedShiftProofReport { + const REFERENCE_STEPS: usize = 1_479; + let mut reports = Vec::new(); + let mut total_states = 0usize; + for width in 2usize..=8 { + let forward = build_shift(width, true); + let reverse = build_shift(width, false); + let states = 1usize << (width + 1); + let mask = (1u64 << width) - 1; + for input in 0..states as u64 { + let control = input & 1; + let value = (input >> 1) & mask; + let forward_output = apply_scalar(&forward.ops, input); + let reverse_output = apply_scalar(&reverse.ops, input); + let expected_forward = if control == 0 { + value + } else { + rotate_low(value, width) + }; + let expected_reverse = if control == 0 { + value + } else { + rotate_high(value, width) + }; + assert_eq!(forward_output & 1, control); + assert_eq!(reverse_output & 1, control); + assert_eq!((forward_output >> 1) & mask, expected_forward); + assert_eq!((reverse_output >> 1) & mask, expected_reverse); + assert_eq!(apply_scalar(&reverse.ops, forward_output), input); + assert_eq!(apply_scalar(&forward.ops, reverse_output), input); + } + let forward_counts = gate_counts(&forward.ops); + let reverse_counts = gate_counts(&reverse.ops); + let expected = RegisterSharedGateCounts { + x: 0, + cx: 2 * (width - 1), + ccx: width - 1, + total: 3 * (width - 1), + }; + assert_eq!(forward_counts, expected); + assert_eq!(reverse_counts, expected); + total_states += states; + reports.push(RegisterSharedShiftWidthReport { + width, + basis_states_checked: states, + forward: forward_counts, + reverse: reverse_counts, + }); + } + let work259_shift_toffoli = WORK_BITS - 1; + let legacy_schematic_four_rotations_toffoli = 4 * work259_shift_toffoli; + RegisterSharedShiftProofReport { + widths_checked: reports.len(), + basis_states_checked: total_states, + allocation_free_streams_checked: 2 * reports.len(), + phase_clean_streams_checked: 2 * reports.len(), + widths: reports, + work259_shift_toffoli, + legacy_schematic_four_rotations_toffoli, + reference_steps: REFERENCE_STEPS, + legacy_schematic_four_rotations_total_toffoli: REFERENCE_STEPS + * legacy_schematic_four_rotations_toffoli, + } +} + +#[derive(Clone, Copy)] +enum LengthPrimitive { + Increment, + Decrement, + ExactReverseDecrement, + ControlledIncrement, + ControlledDecrement, + ExactReverseControlledDecrement, + TwoControlAddOne, + TwoControlSubOne, +} + +fn build_length_primitive(width: usize, primitive: LengthPrimitive) -> B { + assert!(width > 0); + let mut circ = Circuit::new(); + match primitive { + LengthPrimitive::Increment + | LengthPrimitive::Decrement + | LengthPrimitive::ExactReverseDecrement => { + let register = circ.alloc_qreg_bits("rs.length", width); + let scratch = circ.alloc_qreg_bits("rs.length.scratch", width.saturating_sub(1)); + match primitive { + LengthPrimitive::Increment => increment_mod_2n(&mut circ, ®ister, &scratch), + LengthPrimitive::Decrement => decrement_mod_2n(&mut circ, ®ister, &scratch), + LengthPrimitive::ExactReverseDecrement => { + decrement_mod_2n_exact_reverse_increment(&mut circ, ®ister, &scratch); + } + _ => unreachable!(), + } + circ.into_builder() + } + LengthPrimitive::ControlledIncrement + | LengthPrimitive::ControlledDecrement + | LengthPrimitive::ExactReverseControlledDecrement => { + let control = circ.alloc_qreg("rs.length.control"); + let register = circ.alloc_qreg_bits("rs.length", width); + let scratch = circ.alloc_qreg_bits("rs.length.scratch", width.saturating_sub(1)); + match primitive { + LengthPrimitive::ControlledIncrement => { + controlled_increment_mod_2n(&mut circ, &control, ®ister, &scratch); + } + LengthPrimitive::ControlledDecrement => { + controlled_decrement_mod_2n(&mut circ, &control, ®ister, &scratch); + } + LengthPrimitive::ExactReverseControlledDecrement => { + controlled_decrement_mod_2n_exact_reverse_increment( + &mut circ, &control, ®ister, &scratch, + ); + } + _ => unreachable!(), + } + circ.into_builder() + } + LengthPrimitive::TwoControlAddOne | LengthPrimitive::TwoControlSubOne => { + let controls = circ.alloc_qreg_bits("rs.length.controls", 2); + let register = circ.alloc_qreg_bits("rs.length", width); + let scratch = circ.alloc_qreg_bits("rs.length.scratch", width.saturating_sub(1)); + let control_refs = [&controls[0], &controls[1]]; + match primitive { + LengthPrimitive::TwoControlAddOne => { + controlled_add_one(&mut circ, &control_refs, ®ister, &scratch); + } + LengthPrimitive::TwoControlSubOne => { + controlled_sub_one(&mut circ, &control_refs, ®ister, &scratch); + } + _ => unreachable!(), + } + circ.into_builder() + } + } +} + +#[must_use] +pub fn exhaustive_register_shared_length_check() -> RegisterSharedLengthProofReport { + let mut basis_states_checked = 0usize; + let mut scratch_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + for width in 1..=8 { + let mask = (1u64 << width) - 1; + let increment = build_length_primitive(width, LengthPrimitive::Increment); + let decrement = build_length_primitive(width, LengthPrimitive::Decrement); + for value in 0..=mask { + let incremented = apply_scalar(&increment.ops, value); + let decremented = apply_scalar(&decrement.ops, value); + assert_eq!(incremented & mask, value.wrapping_add(1) & mask); + assert_eq!(decremented & mask, value.wrapping_sub(1) & mask); + assert_eq!(incremented >> width, 0); + assert_eq!(decremented >> width, 0); + assert_eq!(apply_scalar(&decrement.ops, incremented), value); + assert_eq!(apply_scalar(&increment.ops, decremented), value); + basis_states_checked += 2; + scratch_clean_checks += 2; + inverse_pair_checks += 2; + } + + let controlled_increment = + build_length_primitive(width, LengthPrimitive::ControlledIncrement); + let controlled_decrement = + build_length_primitive(width, LengthPrimitive::ControlledDecrement); + for input in 0..(1u64 << (width + 1)) { + let control = input & 1; + let value = (input >> 1) & mask; + let expected_increment = if control == 0 { + value + } else { + value.wrapping_add(1) & mask + }; + let expected_decrement = if control == 0 { + value + } else { + value.wrapping_sub(1) & mask + }; + let incremented = apply_scalar(&controlled_increment.ops, input); + let decremented = apply_scalar(&controlled_decrement.ops, input); + assert_eq!(incremented & 1, control); + assert_eq!(decremented & 1, control); + assert_eq!((incremented >> 1) & mask, expected_increment); + assert_eq!((decremented >> 1) & mask, expected_decrement); + assert_eq!(incremented >> (width + 1), 0); + assert_eq!(decremented >> (width + 1), 0); + assert_eq!(apply_scalar(&controlled_decrement.ops, incremented), input); + assert_eq!(apply_scalar(&controlled_increment.ops, decremented), input); + basis_states_checked += 2; + scratch_clean_checks += 2; + inverse_pair_checks += 2; + } + + let add_one = build_length_primitive(width, LengthPrimitive::TwoControlAddOne); + let sub_one = build_length_primitive(width, LengthPrimitive::TwoControlSubOne); + for input in 0..(1u64 << (width + 2)) { + let controls = input & 3; + let value = (input >> 2) & mask; + let active = controls == 3; + let expected_add = if active { + value.wrapping_add(1) & mask + } else { + value + }; + let expected_sub = if active { + value.wrapping_sub(1) & mask + } else { + value + }; + let added = apply_scalar(&add_one.ops, input); + let subtracted = apply_scalar(&sub_one.ops, input); + assert_eq!(added & 3, controls); + assert_eq!(subtracted & 3, controls); + assert_eq!((added >> 2) & mask, expected_add); + assert_eq!((subtracted >> 2) & mask, expected_sub); + assert_eq!(added >> (width + 2), 0); + assert_eq!(subtracted >> (width + 2), 0); + assert_eq!(apply_scalar(&sub_one.ops, added), input); + assert_eq!(apply_scalar(&add_one.ops, subtracted), input); + basis_states_checked += 2; + scratch_clean_checks += 2; + inverse_pair_checks += 2; + } + } + + RegisterSharedLengthProofReport { + widths_checked: 8, + basis_states_checked, + scratch_clean_checks, + inverse_pair_checks, + increment9: gate_counts(&build_length_primitive(9, LengthPrimitive::Increment).ops), + decrement9: gate_counts(&build_length_primitive(9, LengthPrimitive::Decrement).ops), + controlled_increment9: gate_counts( + &build_length_primitive(9, LengthPrimitive::ControlledIncrement).ops, + ), + controlled_decrement9: gate_counts( + &build_length_primitive(9, LengthPrimitive::ControlledDecrement).ops, + ), + two_control_add_one9: gate_counts( + &build_length_primitive(9, LengthPrimitive::TwoControlAddOne).ops, + ), + two_control_sub_one9: gate_counts( + &build_length_primitive(9, LengthPrimitive::TwoControlSubOne).ops, + ), + } +} + +fn assert_same_length_allocation_profile(left: &B, right: &B) { + assert_eq!(left.next_qubit, right.next_qubit); + assert_eq!(left.next_bit, right.next_bit); + assert_eq!(left.active_qubits, right.active_qubits); + assert_eq!(left.peak_qubits, right.peak_qubits); + assert_eq!(left.free_qubits, right.free_qubits); + assert_eq!(left.allocation_serial, right.allocation_serial); +} + +fn assert_phase_neutral_classical_stream(ops: &[Op]) { + use crate::circuit::NO_BIT; + + for operation in ops { + assert!( + matches!( + operation.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ), + "reverse-decrement proof saw phase-capable operation {:?}", + operation.kind + ); + assert_eq!(operation.c_condition, NO_BIT); + } +} + +/// Exhaustively prove the exact reverse-decrement streams through width 16. +/// +/// The operation-stream equalities are stronger than scalar equivalence: every +/// exact decrement operation must equal the corresponding increment operation +/// visited in reverse order. The scalar sweep separately checks arithmetic, +/// inverse behavior, controls, and clean scratch lanes for every basis input. +#[must_use] +pub fn exhaustive_exact_reverse_decrement_check() -> RegisterSharedReverseDecrementProofReport { + const MAX_WIDTH: usize = 16; + + assert!(!REGISTER_SHARED_REVERSE_DECREMENT_STREAM_SOURCE_BAKE); + let mut widths = Vec::with_capacity(MAX_WIDTH); + let mut direct_basis_states_checked = 0usize; + let mut controlled_basis_states_checked = 0usize; + let mut exact_reverse_stream_checks = 0usize; + let mut scalar_forward_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_streams_checked = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut allocation_profile_checks = 0usize; + let mut toffoli_preservation_checks = 0usize; + let mut local_legacy_ops = 0usize; + let mut local_exact_reverse_ops = 0usize; + + for width in 1..=MAX_WIDTH { + let increment = build_length_primitive(width, LengthPrimitive::Increment); + let legacy_decrement = build_length_primitive(width, LengthPrimitive::Decrement); + let exact_reverse_decrement = + build_length_primitive(width, LengthPrimitive::ExactReverseDecrement); + assert!(exact_reverse_decrement + .ops + .iter() + .eq(increment.ops.iter().rev())); + exact_reverse_stream_checks += 1; + + let controlled_increment = + build_length_primitive(width, LengthPrimitive::ControlledIncrement); + let legacy_controlled_decrement = + build_length_primitive(width, LengthPrimitive::ControlledDecrement); + let exact_reverse_controlled_decrement = + build_length_primitive(width, LengthPrimitive::ExactReverseControlledDecrement); + assert!(exact_reverse_controlled_decrement + .ops + .iter() + .eq(controlled_increment.ops.iter().rev())); + exact_reverse_stream_checks += 1; + + let two_control_add = build_length_primitive(width, LengthPrimitive::TwoControlAddOne); + let two_control_sub = build_length_primitive(width, LengthPrimitive::TwoControlSubOne); + assert!(two_control_sub + .ops + .iter() + .eq(two_control_add.ops.iter().rev())); + exact_reverse_stream_checks += 1; + + for builder in [ + &increment, + &legacy_decrement, + &exact_reverse_decrement, + &controlled_increment, + &legacy_controlled_decrement, + &exact_reverse_controlled_decrement, + &two_control_add, + &two_control_sub, + ] { + assert_phase_neutral_classical_stream(&builder.ops); + phase_clean_streams_checked += 1; + } + + assert_same_length_allocation_profile(&legacy_decrement, &exact_reverse_decrement); + assert_same_length_allocation_profile( + &legacy_controlled_decrement, + &exact_reverse_controlled_decrement, + ); + allocation_profile_checks += 2; + + let increment_counts = gate_counts(&increment.ops); + let legacy_decrement_counts = gate_counts(&legacy_decrement.ops); + let exact_reverse_decrement_counts = gate_counts(&exact_reverse_decrement.ops); + let controlled_increment_counts = gate_counts(&controlled_increment.ops); + let legacy_controlled_decrement_counts = gate_counts(&legacy_controlled_decrement.ops); + let exact_reverse_controlled_decrement_counts = + gate_counts(&exact_reverse_controlled_decrement.ops); + + assert_eq!(exact_reverse_decrement_counts, increment_counts); + assert_eq!( + legacy_decrement_counts.cx, + exact_reverse_decrement_counts.cx + ); + assert_eq!( + legacy_decrement_counts.ccx, + exact_reverse_decrement_counts.ccx + ); + assert_eq!( + legacy_decrement_counts + .total + .checked_sub(exact_reverse_decrement_counts.total) + .expect("exact reverse decrement grew the direct stream"), + 4 * width.saturating_sub(1) + ); + toffoli_preservation_checks += 1; + + assert_eq!( + exact_reverse_controlled_decrement_counts, + controlled_increment_counts + ); + assert_eq!( + legacy_controlled_decrement_counts.cx, + exact_reverse_controlled_decrement_counts.cx + ); + assert_eq!( + legacy_controlled_decrement_counts.ccx, + exact_reverse_controlled_decrement_counts.ccx + ); + assert_eq!( + legacy_controlled_decrement_counts + .total + .checked_sub(exact_reverse_controlled_decrement_counts.total) + .expect("exact reverse decrement grew the controlled stream"), + 4 * width.saturating_sub(1) + ); + toffoli_preservation_checks += 1; + + local_legacy_ops += + legacy_decrement_counts.total + legacy_controlled_decrement_counts.total; + local_exact_reverse_ops += + exact_reverse_decrement_counts.total + exact_reverse_controlled_decrement_counts.total; + + let mask = (1u64 << width) - 1; + let direct_basis_states = 1usize << width; + for value in 0..direct_basis_states as u64 { + let incremented = apply_scalar(&increment.ops, value); + let decremented = apply_scalar(&exact_reverse_decrement.ops, value); + assert_eq!(incremented & mask, value.wrapping_add(1) & mask); + assert_eq!(decremented & mask, value.wrapping_sub(1) & mask); + assert_eq!(incremented >> width, 0); + assert_eq!(decremented >> width, 0); + assert_eq!( + apply_scalar(&exact_reverse_decrement.ops, incremented), + value + ); + assert_eq!(apply_scalar(&increment.ops, decremented), value); + scalar_forward_checks += 2; + inverse_pair_checks += 2; + ancilla_clean_checks += 2; + } + direct_basis_states_checked += direct_basis_states; + + let controlled_basis_states = 1usize << (width + 1); + for input in 0..controlled_basis_states as u64 { + let control = input & 1; + let value = (input >> 1) & mask; + let expected_increment = if control == 0 { + value + } else { + value.wrapping_add(1) & mask + }; + let expected_decrement = if control == 0 { + value + } else { + value.wrapping_sub(1) & mask + }; + let incremented = apply_scalar(&controlled_increment.ops, input); + let decremented = apply_scalar(&exact_reverse_controlled_decrement.ops, input); + assert_eq!(incremented & 1, control); + assert_eq!(decremented & 1, control); + assert_eq!((incremented >> 1) & mask, expected_increment); + assert_eq!((decremented >> 1) & mask, expected_decrement); + assert_eq!(incremented >> (width + 1), 0); + assert_eq!(decremented >> (width + 1), 0); + assert_eq!( + apply_scalar(&exact_reverse_controlled_decrement.ops, incremented), + input + ); + assert_eq!(apply_scalar(&controlled_increment.ops, decremented), input); + scalar_forward_checks += 2; + inverse_pair_checks += 2; + ancilla_clean_checks += 2; + } + controlled_basis_states_checked += controlled_basis_states; + + widths.push(RegisterSharedReverseDecrementWidthReport { + width, + direct_basis_states, + controlled_basis_states, + increment: increment_counts, + legacy_decrement: legacy_decrement_counts, + exact_reverse_decrement: exact_reverse_decrement_counts, + controlled_increment: controlled_increment_counts, + legacy_controlled_decrement: legacy_controlled_decrement_counts, + exact_reverse_controlled_decrement: exact_reverse_controlled_decrement_counts, + }); + } + + RegisterSharedReverseDecrementProofReport { + widths_checked: widths.len(), + direct_basis_states_checked, + controlled_basis_states_checked, + exact_reverse_stream_checks, + scalar_forward_checks, + inverse_pair_checks, + phase_clean_streams_checked, + ancilla_clean_checks, + allocation_profile_checks, + toffoli_preservation_checks, + local_legacy_ops, + local_exact_reverse_ops, + local_ops_removed: local_legacy_ops + .checked_sub(local_exact_reverse_ops) + .expect("exact reverse decrement grew the local proof streams"), + widths, + } +} + +fn build_work_swap(width: usize) -> B { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.swap.control"); + let left = circ.alloc_qreg_bits("rs.swap.left", width); + let right = circ.alloc_qreg_bits("rs.swap.right", width); + controlled_swap_registers(&mut circ, &control, &left, &right); + circ.into_builder() +} + +fn build_phase_update() -> B { + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.phase1"); + let phase2 = circ.alloc_qreg("rs.phase2"); + let sign = circ.alloc_qreg("rs.sign"); + let lq_sign = circ.alloc_qreg("rs.lq.sign"); + let lrp_sign = circ.alloc_qreg("rs.lrp.sign"); + let ls_sign = circ.alloc_qreg("rs.ls.sign"); + let condition = circ.alloc_qreg("rs.phase.condition"); + let temporary = circ.alloc_qreg("rs.phase.temporary"); + phase_update( + &mut circ, &phase1, &phase2, &sign, &lq_sign, &lrp_sign, &ls_sign, &condition, &temporary, + ); + circ.into_builder() +} + +#[must_use] +pub fn exhaustive_register_shared_control_check() -> RegisterSharedControlProofReport { + let mut work_swap_basis_states_checked = 0usize; + let mut work_swap_inverse_checks = 0usize; + for width in 1..=8 { + let swap = build_work_swap(width); + let mask = (1u64 << width) - 1; + for input in 0..(1u64 << (2 * width + 1)) { + let control = input & 1; + let left = (input >> 1) & mask; + let right = (input >> (width + 1)) & mask; + let output = apply_scalar(&swap.ops, input); + let (expected_left, expected_right) = if control == 0 { + (left, right) + } else { + (right, left) + }; + assert_eq!(output & 1, control); + assert_eq!((output >> 1) & mask, expected_left); + assert_eq!((output >> (width + 1)) & mask, expected_right); + assert_eq!(apply_scalar(&swap.ops, output), input); + work_swap_basis_states_checked += 1; + work_swap_inverse_checks += 1; + } + } + + let phase = build_phase_update(); + let phase_update_basis_states_checked = 1usize << 6; + for input in 0..phase_update_basis_states_checked as u64 { + let mut phase1 = (input & 1) != 0; + let mut phase2 = ((input >> 1) & 1) != 0; + let mut sign = ((input >> 2) & 1) != 0; + let lq_sign = ((input >> 3) & 1) != 0; + let lrp_sign = ((input >> 4) & 1) != 0; + let ls_sign = ((input >> 5) & 1) != 0; + let condition = lq_sign && !lrp_sign; + let temporary = sign ^ phase1; + phase2 ^= condition && temporary; + sign ^= condition && phase2; + phase1 ^= ls_sign; + phase2 ^= ls_sign; + let expected = u64::from(phase1) + | (u64::from(phase2) << 1) + | (u64::from(sign) << 2) + | (u64::from(lq_sign) << 3) + | (u64::from(lrp_sign) << 4) + | (u64::from(ls_sign) << 5); + let output = apply_scalar(&phase.ops, input); + assert_eq!(output, expected); + assert_eq!(output >> 6, 0); + } + + RegisterSharedControlProofReport { + work_swap_widths_checked: 8, + work_swap_basis_states_checked, + work_swap_inverse_checks, + work259_swap: gate_counts(&build_work_swap(WORK_BITS).ops), + phase_update_basis_states_checked, + phase_update_scratch_clean_checks: phase_update_basis_states_checked, + phase_update: gate_counts(&phase.ops), + } +} + +#[derive(Clone, Copy)] +enum PrePostPrimitive { + Pre, + PreInverse, + Post, + PostInverse, +} + +fn build_pre_post_shift(work_width: usize, length_width: usize, primitive: PrePostPrimitive) -> B { + assert!(work_width >= 3); + assert!(length_width > 0); + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.prepost.phase1"); + let phase2 = circ.alloc_qreg("rs.prepost.phase2"); + let work2 = circ.alloc_qreg_bits("rs.prepost.work2", work_width); + let shift_length = circ.alloc_qreg_bits("rs.prepost.length", length_width); + let scratch_width = match primitive { + PrePostPrimitive::Pre | PrePostPrimitive::PreInverse => length_width + 1, + PrePostPrimitive::Post | PrePostPrimitive::PostInverse => length_width, + }; + let scratch = circ.alloc_qreg_bits("rs.prepost.scratch", scratch_width); + match primitive { + PrePostPrimitive::Pre => { + pre_shift(&mut circ, &phase1, &phase2, &work2, &shift_length, &scratch) + } + PrePostPrimitive::PreInverse => { + pre_shift_inverse(&mut circ, &phase1, &phase2, &work2, &shift_length, &scratch) + } + PrePostPrimitive::Post => { + post_shift(&mut circ, &phase1, &phase2, &work2, &shift_length, &scratch) + } + PrePostPrimitive::PostInverse => { + post_shift_inverse(&mut circ, &phase1, &phase2, &work2, &shift_length, &scratch) + } + } + circ.into_builder() +} + +fn expected_pre_shift( + phase1: bool, + phase2: bool, + mut work: u64, + work_width: usize, + mut shift_length: u64, + length_mask: u64, +) -> (u64, u64) { + if !phase1 { + work = rotate_low(work, work_width); + shift_length = shift_length.wrapping_add(1) & length_mask; + if phase2 { + work = rotate_high(rotate_high(work, work_width), work_width); + shift_length = shift_length.wrapping_sub(2) & length_mask; + } + } + (work, shift_length) +} + +fn expected_post_shift( + phase1: bool, + phase2: bool, + mut work: u64, + work_width: usize, + mut shift_length: u64, + length_mask: u64, +) -> (u64, u64) { + if phase1 { + work = rotate_low(work, work_width); + shift_length = shift_length.wrapping_add(1) & length_mask; + if phase2 { + work = rotate_high(rotate_high(work, work_width), work_width); + shift_length = shift_length.wrapping_sub(2) & length_mask; + } + } + (work, shift_length) +} + +#[must_use] +pub fn exhaustive_register_shared_pre_post_check() -> RegisterSharedPrePostProofReport { + const TEST_LENGTH_WIDTH: usize = 4; + const REFERENCE_LENGTH_WIDTH: usize = 9; + const REFERENCE_STEPS: usize = 1_479; + let mut basis_states_checked = 0usize; + let mut scratch_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + for work_width in 3..=8 { + let pre = build_pre_post_shift(work_width, TEST_LENGTH_WIDTH, PrePostPrimitive::Pre); + let pre_inverse = + build_pre_post_shift(work_width, TEST_LENGTH_WIDTH, PrePostPrimitive::PreInverse); + let post = build_pre_post_shift(work_width, TEST_LENGTH_WIDTH, PrePostPrimitive::Post); + let post_inverse = + build_pre_post_shift(work_width, TEST_LENGTH_WIDTH, PrePostPrimitive::PostInverse); + let work_mask = (1u64 << work_width) - 1; + let length_mask = (1u64 << TEST_LENGTH_WIDTH) - 1; + let data_width = 2 + work_width + TEST_LENGTH_WIDTH; + for input in 0..(1u64 << data_width) { + let phase1 = (input & 1) != 0; + let phase2 = ((input >> 1) & 1) != 0; + let work = (input >> 2) & work_mask; + let shift_length = (input >> (2 + work_width)) & length_mask; + let (pre_work, pre_length) = + expected_pre_shift(phase1, phase2, work, work_width, shift_length, length_mask); + let (post_work, post_length) = + expected_post_shift(phase1, phase2, work, work_width, shift_length, length_mask); + let expected_pre = (input & 3) | (pre_work << 2) | (pre_length << (2 + work_width)); + let expected_post = (input & 3) | (post_work << 2) | (post_length << (2 + work_width)); + let pre_output = apply_scalar(&pre.ops, input); + let post_output = apply_scalar(&post.ops, input); + assert_eq!(pre_output, expected_pre); + assert_eq!(post_output, expected_post); + assert_eq!(pre_output >> data_width, 0); + assert_eq!(post_output >> data_width, 0); + assert_eq!(apply_scalar(&pre_inverse.ops, pre_output), input); + assert_eq!(apply_scalar(&post_inverse.ops, post_output), input); + basis_states_checked += 2; + scratch_clean_checks += 2; + inverse_pair_checks += 2; + } + } + + let pre_shift259_length9 = gate_counts( + &build_pre_post_shift(WORK_BITS, REFERENCE_LENGTH_WIDTH, PrePostPrimitive::Pre).ops, + ); + let pre_shift259_length9_inverse = gate_counts( + &build_pre_post_shift( + WORK_BITS, + REFERENCE_LENGTH_WIDTH, + PrePostPrimitive::PreInverse, + ) + .ops, + ); + let post_shift259_length9 = gate_counts( + &build_pre_post_shift(WORK_BITS, REFERENCE_LENGTH_WIDTH, PrePostPrimitive::Post).ops, + ); + let post_shift259_length9_inverse = gate_counts( + &build_pre_post_shift( + WORK_BITS, + REFERENCE_LENGTH_WIDTH, + PrePostPrimitive::PostInverse, + ) + .ops, + ); + RegisterSharedPrePostProofReport { + work_widths_checked: 6, + basis_states_checked, + scratch_clean_checks, + inverse_pair_checks, + pre_shift259_length9, + pre_shift259_length9_inverse, + post_shift259_length9, + post_shift259_length9_inverse, + emitted_rotations_per_step: 6, + reference_steps: REFERENCE_STEPS, + total_pre_post_toffoli: REFERENCE_STEPS + * (pre_shift259_length9.ccx + post_shift259_length9.ccx), + } +} + +fn build_variable_rotation(width: usize, amount_width: usize, high: bool) -> B { + let mut circ = Circuit::new(); + let amount = circ.alloc_qreg_bits("rs.barrel.amount", amount_width); + let register = circ.alloc_qreg_bits("rs.barrel.work", width); + if high { + variable_rotate_high(&mut circ, &amount, ®ister); + } else { + variable_rotate_low(&mut circ, &amount, ®ister); + } + circ.into_builder() +} + +fn rotate_high_by_value(mut value: u64, width: usize, offset: usize) -> u64 { + for _ in 0..offset % width { + value = rotate_high(value, width); + } + value +} + +#[must_use] +pub fn exhaustive_register_shared_barrel_check() -> RegisterSharedBarrelProofReport { + let mut basis_states_checked = 0usize; + let mut inverse_pair_checks = 0usize; + for width in 2usize..=8 { + let amount_width = (usize::BITS - (width - 1).leading_zeros()) as usize; + let high = build_variable_rotation(width, amount_width, true); + let low = build_variable_rotation(width, amount_width, false); + let value_mask = (1u64 << width) - 1; + let amount_mask = (1u64 << amount_width) - 1; + for input in 0..(1u64 << (width + amount_width)) { + let amount = (input & amount_mask) as usize; + let value = (input >> amount_width) & value_mask; + let expected = (input & amount_mask) + | (rotate_high_by_value(value, width, amount) << amount_width); + let output = apply_scalar(&high.ops, input); + assert_eq!(output, expected); + assert_eq!(apply_scalar(&low.ops, output), input); + basis_states_checked += 1; + inverse_pair_checks += 1; + } + } + let work259_amount9_high = gate_counts(&build_variable_rotation(WORK_BITS, 9, true).ops); + let work259_amount9_low = gate_counts(&build_variable_rotation(WORK_BITS, 9, false).ops); + assert_eq!(work259_amount9_high, work259_amount9_low); + RegisterSharedBarrelProofReport { + widths_checked: 7, + basis_states_checked, + inverse_pair_checks, + work259_amount9_high, + work259_amount9_low, + toffoli_per_direction: work259_amount9_high.ccx, + } +} + +fn allocation_skeleton(length_widths: &[usize], scratch_widths: &[usize]) -> B { + let mut circ = Circuit::new(); + let mut dx = circ.alloc_qreg_bits("rs.dx", FIELD_PASSENGER_BITS); + let dy = circ.alloc_qreg_bits("rs.passenger", FIELD_PASSENGER_BITS); + let work2_padding = WORK_BITS - dx.len(); + dx.extend(circ.alloc_qreg_bits("rs.work2.pad", work2_padding)); + let work1 = circ.alloc_qreg_bits("rs.work1", WORK_BITS); + let lengths: Vec> = length_widths + .iter() + .enumerate() + .map(|(index, &width)| circ.alloc_qreg_bits(&format!("rs.length.{index}"), width)) + .collect(); + let controls = circ.alloc_qreg_bits("rs.controls", CONTROL_BITS); + let scratch: Vec> = scratch_widths + .iter() + .enumerate() + .map(|(index, &width)| circ.alloc_qreg_bits(&format!("rs.scratch.{index}"), width)) + .collect(); + + for lane in dx + .into_iter() + .chain(dy) + .chain(work1) + .chain(lengths.into_iter().flatten()) + .chain(controls) + .chain(scratch.into_iter().flatten()) + { + circ.zero_and_free(lane); + } + circ.flush_pending_frees(); + circ.into_builder() +} + +fn assert_reset_only_skeleton(builder: &B, expected_peak: usize) { + assert_eq!(builder.peak_qubits as usize, expected_peak); + assert_eq!(builder.active_qubits, 0); + assert_eq!(builder.ops.len(), expected_peak); + assert!(builder + .ops + .iter() + .all(|operation| operation.kind == OperationType::R)); +} + +#[must_use] +pub fn register_shared_allocation_skeleton_check() -> RegisterSharedAllocationReport { + let paper_core = allocation_skeleton(&LENGTH_BITS, &[]); + assert_reset_only_skeleton(&paper_core, PROJECTED_INVERSION_PEAK); + let reference_port = allocation_skeleton(&REFERENCE_LENGTH_BITS, &REFERENCE_SCRATCH_POOLS); + assert_reset_only_skeleton(&reference_port, REFERENCE_PORT_PEAK); + RegisterSharedAllocationReport { + paper_core_peak_qubits: paper_core.peak_qubits as usize, + paper_core_final_active_qubits: paper_core.active_qubits as usize, + paper_core_reset_operations: paper_core.ops.len(), + reference_port_peak_qubits: reference_port.peak_qubits as usize, + reference_port_final_active_qubits: reference_port.active_qubits as usize, + reference_port_reset_operations: reference_port.ops.len(), + reference_port_scratch_bits: REFERENCE_SCRATCH_POOLS.iter().sum(), + input_dx_bits: FIELD_PASSENGER_BITS, + passenger_bits: FIELD_PASSENGER_BITS, + work1_bits: WORK_BITS, + work2_bits: WORK_BITS, + paper_length_bits: LENGTH_BITS.iter().sum(), + reference_length_bits: REFERENCE_LENGTH_BITS.iter().sum(), + control_bits: CONTROL_BITS, + } +} diff --git a/src/point_add/trailmix_port/inversion/register_shared_eea_reference.rs b/src/point_add/trailmix_port/inversion/register_shared_eea_reference.rs new file mode 100644 index 00000000..e6be51d2 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/register_shared_eea_reference.rs @@ -0,0 +1,34381 @@ +//! Reversible gate port of the public register-sharing EEA reference. +//! +//! This module is intentionally staged. The arithmetic primitives and their +//! reduced-width exhaustive proofs land before the complete 1,479-step circuit. + +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use std::sync::atomic::{AtomicUsize, Ordering}; + +use super::register_shared_eea_microkernels::{ + apply_scalar, controlled_add_one, controlled_increment_mod_2n, controlled_sub_one, + controlled_rotate_high_by, controlled_rotate_low_by, controlled_swap_registers, gate_counts, + increment_mod_2n, multi_controlled_x_vchain, + production_controlled_decrement_mod_2n as controlled_decrement_mod_2n, + production_decrement_mod_2n as decrement_mod_2n, variable_rotate_high, + variable_rotate_high_refs, variable_rotate_low, variable_rotate_low_refs, + RegisterSharedGateCounts, +}; +use super::shrunken_pz_state_machine::with_bit_length_callsite; +use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; +use crate::point_add::B; + +pub const REFERENCE_LENGTH_WIDTH: usize = 9; +pub const REFERENCE_R_LENGTH_WIDTH: usize = 8; +pub const SUB820_L_Q_WIDTH: usize = 8; +const Q825_L_Q_WIDTH: usize = 6; +pub const REFERENCE_STEPS: usize = 1_479; +pub const COEFFICIENT_RAW_BITLEN_LOAN_FLAG: &str = "LOWQ_REUSE_COEFFICIENT_RAW_BITLEN_LOAN"; +pub const INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG: &str = "LOWQ_INPLACE_ROTATED_BITLEN_BOUNDARY"; +pub const FUSED_PREFIX_SCRATCH_LOAN_FLAG: &str = "LOWQ_LOAN_FUSED_PREFIX_SCRATCH"; +pub const PROMISED_LQ_SWAP_BORROW_FLAG: &str = "LOWQ_REUSE_LQ_AS_SWAP_OLD_R_LENGTH"; +pub const SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG: &str = + "LOWQ_SPLIT_COEFFICIENT_ROTATION_LIFETIME"; +pub const COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG: &str = "LOWQ_REUSE_COEFFICIENT_LESS_THAN_LANES"; +pub const CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG: &str = + "LOWQ_REUSE_CLEAN_CHAIN_FOR_COEFFICIENT_ADD"; +pub const PRESERVED_DY_TOP_PREFIX_LOAN_FLAG: &str = "LOWQ_REUSE_PRESERVED_DY_TOP_FOR_PREFIX"; +pub const MIXED_WIDTH_L_R_PRIME_FLAG: &str = "LOWQ_MIXED_WIDTH_L_R_PRIME"; +pub const PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG: &str = + "LOWQ_PAIRED_BITLEN_SOURCE_COMPLEMENT"; +pub const COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG: &str = + "LOWQ_COEFFICIENT_NONNEGATIVE_X_CANCEL"; +pub const Q845_LIFETIME_COEFFICIENT_FUSION_FLAG: &str = + "LOWQ_Q845_LIFETIME_COEFFICIENT_FUSION"; +pub const PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG: &str = + "LOWQ_FUSE_PROMISED_SWAP_SUPPORT_LIFETIME"; +pub const Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG: &str = + "LOWQ_Q845_SWAP_ONLY_T_PRIME_LENGTH"; +pub const Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG: &str = + "LOWQ_Q851_TRUNCATED_SWAP_ONLY_GUARD"; +pub const Q851_FIXED_SIGN_EVENT_FLAG: &str = "LOWQ_Q851_FIXED_SIGN_EVENT"; +pub const Q830_DIRTY_FIXED_SIGN_EVENT_FLAG: &str = + "LOWQ_Q830_DIRTY_FIXED_SIGN_EVENT"; +pub const Q830_DIRECT_SWAP_METADATA_FLAG: &str = + "LOWQ_Q830_DIRECT_SWAP_METADATA"; +pub const Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG: &str = + "LOWQ_Q830_COEFFICIENT_COUNTER_RELOCATION"; +pub const Q828_LS_PARITY_FLAG: &str = "LOWQ_Q828_LS_PARITY"; +pub const SUB800_INPLACE_GUARD_ADDRESS_FLAG: &str = + "LOWQ_SUB800_INPLACE_GUARD_ADDRESS"; +pub const SUB800_RAW_PREFIX_PRESERVED_LENDER_FLAG: &str = + "LOWQ_SUB800_RAW_PREFIX_PRESERVED_LENDER"; +pub const SUB800_RAW_PREFIX_PREDICATE_LENDER_FLAG: &str = + "LOWQ_SUB800_RAW_PREFIX_PREDICATE_LENDER"; +pub const SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG: &str = + "LOWQ_SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION"; +pub const SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG: &str = + "LOWQ_SUB800_BORROWED_ROTATED_UNDERFLOW"; +pub const SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG: &str = + "LOWQ_SUB800_SPLIT_MIXED_ROTATED_LENGTH"; +pub const SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG: &str = + "LOWQ_SUB800_SPLIT_SAME_ROTATED_LENGTH"; +pub const SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG: &str = + "LOWQ_SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH"; +pub const SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG: &str = + "LOWQ_SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH"; +pub const SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG: &str = + "LOWQ_SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH"; +pub const Q827_SERIAL_SPLIT_FIVE_FLAG: &str = "LOWQ_Q827_SERIAL_SPLIT_FIVE"; +pub const Q826_REMAINDER_T_PRIME_HOST_FLAG: &str = "LOWQ_Q826_REMAINDER_T_PRIME_HOST"; +pub const Q826_COEFFICIENT_LS_HOST_FLAG: &str = "LOWQ_Q826_COEFFICIENT_LS_HOST"; +pub const Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG: &str = + "LOWQ_Q826_ROTATED_SWAP_T_PRIME_HOST"; +pub const Q824_REMAINDER_LQ_HIGH_HOST_FLAG: &str = "LOWQ_Q824_REMAINDER_LQ_HIGH_HOST"; +pub const Q824_COEFFICIENT_LQ_HIGH_HOST_FLAG: &str = + "LOWQ_Q824_COEFFICIENT_LQ_HIGH_HOST"; +pub const Q824_ROTATED_SWAP_LQ_HIGH_HOST_FLAG: &str = "LOWQ_Q824_ROTATED_SWAP_LQ_HIGH_HOST"; +pub const Q825_SEVEN_BIT_L_Q_FLAG: &str = "LOWQ_Q825_SEVEN_BIT_L_Q"; +pub const SUB800_ULS_CLEAN_LENDER_FLAG: &str = "LOWQ_SUB800_ULS_CLEAN_LENDER"; +pub const SUB800_ULS_FUSED_TARGET_FLAG: &str = "LOWQ_SUB800_ULS_FUSED_TARGET"; +pub const SUB800_ULS_DIRECT_SELECTOR_FLAG: &str = "LOWQ_SUB800_ULS_DIRECT_SELECTOR"; +pub const Q839_SEVEN_PLATEAU_LENDERS_FLAG: &str = + "LOWQ_Q839_SEVEN_PLATEAU_LENDERS"; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Sub800Q839RouteCoverage { + pub uls_fused_forward_calls: usize, + pub uls_fused_reverse_calls: usize, + pub split_three_same_calls: usize, + pub split_three_mixed_calls: usize, + pub uls_direct_forward_calls: usize, + pub uls_direct_reverse_calls: usize, + pub split_four_same_calls: usize, + pub split_four_mixed_calls: usize, + pub serial_split_five_same_calls: usize, + pub serial_split_five_mixed_calls: usize, + pub seven_plateau_uls_forward_loans: usize, + pub seven_plateau_uls_reverse_loans: usize, + pub seven_plateau_short_increments: usize, + pub seven_plateau_short_decrements: usize, + pub seven_plateau_support_loans: usize, + pub seven_plateau_support_fallbacks: usize, +} + +static SUB800_Q839_ULS_FUSED_FORWARD_CALLS: AtomicUsize = AtomicUsize::new(0); +static SUB800_Q839_ULS_FUSED_REVERSE_CALLS: AtomicUsize = AtomicUsize::new(0); +static SUB800_Q839_SPLIT_THREE_SAME_CALLS: AtomicUsize = AtomicUsize::new(0); +static SUB800_Q839_SPLIT_THREE_MIXED_CALLS: AtomicUsize = AtomicUsize::new(0); +static SUB800_Q838_ULS_DIRECT_FORWARD_CALLS: AtomicUsize = AtomicUsize::new(0); +static SUB800_Q838_ULS_DIRECT_REVERSE_CALLS: AtomicUsize = AtomicUsize::new(0); +static SUB800_Q838_SPLIT_FOUR_SAME_CALLS: AtomicUsize = AtomicUsize::new(0); +static SUB800_Q838_SPLIT_FOUR_MIXED_CALLS: AtomicUsize = AtomicUsize::new(0); +static Q827_SERIAL_SPLIT_FIVE_SAME_CALLS: AtomicUsize = AtomicUsize::new(0); +static Q827_SERIAL_SPLIT_FIVE_MIXED_CALLS: AtomicUsize = AtomicUsize::new(0); +static Q839_SEVEN_PLATEAU_ULS_FORWARD_LOANS: AtomicUsize = AtomicUsize::new(0); +static Q839_SEVEN_PLATEAU_ULS_REVERSE_LOANS: AtomicUsize = AtomicUsize::new(0); +static Q839_SEVEN_PLATEAU_SHORT_INCREMENTS: AtomicUsize = AtomicUsize::new(0); +static Q839_SEVEN_PLATEAU_SHORT_DECREMENTS: AtomicUsize = AtomicUsize::new(0); +static Q839_SEVEN_PLATEAU_SUPPORT_LOANS: AtomicUsize = AtomicUsize::new(0); +static Q839_SEVEN_PLATEAU_SUPPORT_FALLBACKS: AtomicUsize = AtomicUsize::new(0); + +pub fn reset_sub800_q839_route_coverage() { + SUB800_Q839_ULS_FUSED_FORWARD_CALLS.store(0, Ordering::Relaxed); + SUB800_Q839_ULS_FUSED_REVERSE_CALLS.store(0, Ordering::Relaxed); + SUB800_Q839_SPLIT_THREE_SAME_CALLS.store(0, Ordering::Relaxed); + SUB800_Q839_SPLIT_THREE_MIXED_CALLS.store(0, Ordering::Relaxed); + SUB800_Q838_ULS_DIRECT_FORWARD_CALLS.store(0, Ordering::Relaxed); + SUB800_Q838_ULS_DIRECT_REVERSE_CALLS.store(0, Ordering::Relaxed); + SUB800_Q838_SPLIT_FOUR_SAME_CALLS.store(0, Ordering::Relaxed); + SUB800_Q838_SPLIT_FOUR_MIXED_CALLS.store(0, Ordering::Relaxed); + Q827_SERIAL_SPLIT_FIVE_SAME_CALLS.store(0, Ordering::Relaxed); + Q827_SERIAL_SPLIT_FIVE_MIXED_CALLS.store(0, Ordering::Relaxed); + Q839_SEVEN_PLATEAU_ULS_FORWARD_LOANS.store(0, Ordering::Relaxed); + Q839_SEVEN_PLATEAU_ULS_REVERSE_LOANS.store(0, Ordering::Relaxed); + Q839_SEVEN_PLATEAU_SHORT_INCREMENTS.store(0, Ordering::Relaxed); + Q839_SEVEN_PLATEAU_SHORT_DECREMENTS.store(0, Ordering::Relaxed); + Q839_SEVEN_PLATEAU_SUPPORT_LOANS.store(0, Ordering::Relaxed); + Q839_SEVEN_PLATEAU_SUPPORT_FALLBACKS.store(0, Ordering::Relaxed); +} + +#[must_use] +pub fn sub800_q839_route_coverage() -> Sub800Q839RouteCoverage { + Sub800Q839RouteCoverage { + uls_fused_forward_calls: SUB800_Q839_ULS_FUSED_FORWARD_CALLS.load(Ordering::Relaxed), + uls_fused_reverse_calls: SUB800_Q839_ULS_FUSED_REVERSE_CALLS.load(Ordering::Relaxed), + split_three_same_calls: SUB800_Q839_SPLIT_THREE_SAME_CALLS.load(Ordering::Relaxed), + split_three_mixed_calls: SUB800_Q839_SPLIT_THREE_MIXED_CALLS.load(Ordering::Relaxed), + uls_direct_forward_calls: SUB800_Q838_ULS_DIRECT_FORWARD_CALLS.load(Ordering::Relaxed), + uls_direct_reverse_calls: SUB800_Q838_ULS_DIRECT_REVERSE_CALLS.load(Ordering::Relaxed), + split_four_same_calls: SUB800_Q838_SPLIT_FOUR_SAME_CALLS.load(Ordering::Relaxed), + split_four_mixed_calls: SUB800_Q838_SPLIT_FOUR_MIXED_CALLS.load(Ordering::Relaxed), + serial_split_five_same_calls: Q827_SERIAL_SPLIT_FIVE_SAME_CALLS + .load(Ordering::Relaxed), + serial_split_five_mixed_calls: Q827_SERIAL_SPLIT_FIVE_MIXED_CALLS + .load(Ordering::Relaxed), + seven_plateau_uls_forward_loans: Q839_SEVEN_PLATEAU_ULS_FORWARD_LOANS + .load(Ordering::Relaxed), + seven_plateau_uls_reverse_loans: Q839_SEVEN_PLATEAU_ULS_REVERSE_LOANS + .load(Ordering::Relaxed), + seven_plateau_short_increments: Q839_SEVEN_PLATEAU_SHORT_INCREMENTS + .load(Ordering::Relaxed), + seven_plateau_short_decrements: Q839_SEVEN_PLATEAU_SHORT_DECREMENTS + .load(Ordering::Relaxed), + seven_plateau_support_loans: Q839_SEVEN_PLATEAU_SUPPORT_LOANS + .load(Ordering::Relaxed), + seven_plateau_support_fallbacks: Q839_SEVEN_PLATEAU_SUPPORT_FALLBACKS + .load(Ordering::Relaxed), + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct ReferenceActiveWindows { + pub r_add_sub: (usize, usize), + pub quotient_swap: (usize, usize), + pub t_add_sub: (usize, usize), + pub length_update_t: (usize, usize), + pub length_update_r: (usize, usize), +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceCuccaroProofReport { + pub widths_checked: usize, + pub basis_states_checked: usize, + pub carry_clean_checks: usize, + pub inverse_pair_checks: usize, + pub add9: RegisterSharedGateCounts, + pub sub9: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceLocationSwapProofReport { + pub work_widths_checked: usize, + pub basis_states_checked: usize, + pub scratch_clean_checks: usize, + pub inverse_pair_checks: usize, + pub full259_length9: RegisterSharedGateCounts, + pub full259_length9_inverse: RegisterSharedGateCounts, + pub reference_steps: usize, + pub full_window_toffoli_upper_bound: usize, + pub scheduled_window_sum: usize, + pub scheduled_toffoli: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Sub800InplaceGuardAddressProofReport { + pub stages_checked: usize, + pub basis_states_checked: usize, + pub coordinate_checks: usize, + pub inverse_pair_checks: usize, + pub scratch_clean_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub allocated_address_lanes: usize, + pub prepare: RegisterSharedGateCounts, + pub reverse_boundary: RegisterSharedGateCounts, + pub full_roundtrip: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q828LsParityBridgeProofReport { + pub stages_checked: usize, + pub basis_states_checked: usize, + pub coordinate_checks: usize, + pub host_checks: usize, + pub remainder_low_checks: usize, + pub dirty_lender_restoration_checks: usize, + pub inverse_pair_checks: usize, + pub scratch_clean_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub allocated_address_lanes: usize, + pub prepare: RegisterSharedGateCounts, + pub reverse_boundary: RegisterSharedGateCounts, + pub full_roundtrip: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q828TerminalRotationProofReport { + pub widths_checked: Vec, + pub stages_checked: usize, + pub basis_states_checked: usize, + pub baseline_candidate_equivalence_checks: usize, + pub forward_coordinate_checks: usize, + pub roundtrip_checks: usize, + pub control_restore_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub production_width: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceScheduleProofReport { + pub steps_checked: usize, + pub r_window_sum: usize, + pub quotient_swap_window_sum: usize, + pub t_window_sum: usize, + pub length_t_window_sum: usize, + pub length_r_window_sum: usize, + pub maximum_r_window: usize, + pub maximum_quotient_swap_window: usize, + pub maximum_t_window: usize, + pub maximum_length_t_window: usize, + pub maximum_length_r_window: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct ReferenceInitializerProofReport { + pub cases_checked: usize, + pub reflected_cases_checked: usize, + pub non_reflected_cases_checked: usize, + pub input_qubits: usize, + pub initialization_transient_peak_qubits: usize, + pub packed_peak_qubits: usize, + pub packed_active_qubits: usize, + pub final_active_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, + pub emitted_hmr: usize, + pub emitted_resets: usize, + pub classical_roundtrip_checks: usize, + pub phase_cleanup_checks: usize, + pub ancilla_cleanup_checks: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceCoefficientArithmeticProofReport { + pub work_widths_checked: usize, + pub basis_states_checked: usize, + pub inverse_pair_checks: usize, + pub scratch_clean_checks: usize, + pub control_off_identity_checks: usize, + pub length_restore_checks: usize, + pub t_add257: RegisterSharedGateCounts, + pub t_sub257: RegisterSharedGateCounts, + pub reference_steps: usize, + pub scheduled_window_sum: usize, + pub scheduled_add_toffoli: usize, + pub scheduled_sub_toffoli: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceRemainderArithmeticProofReport { + pub work_widths_checked: usize, + pub basis_states_checked: usize, + pub inverse_pair_checks: usize, + pub scratch_clean_checks: usize, + pub control_off_identity_checks: usize, + pub zero_remainder_identity_checks: usize, + pub length_restore_checks: usize, + pub r_add257: RegisterSharedGateCounts, + pub r_sub257: RegisterSharedGateCounts, + pub reference_steps: usize, + pub scheduled_window_sum: usize, + pub scheduled_add_toffoli: usize, + pub scheduled_sub_toffoli: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferencePhaseOverlaidRemainderScratchProofReport { + pub length_widths_checked: usize, + pub window_configurations_checked: usize, + pub basis_states_checked: usize, + pub baseline_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub phase_boundary_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub control_combinations_checked: usize, + pub zero_remainder_checks: usize, + pub range_equality_checks: usize, + pub range_boundary_checks: usize, + pub baseline_reference9_scratch_lanes: usize, + pub overlaid_reference9_scratch_lanes: usize, + pub scratch_lanes_saved: usize, + pub baseline_reference9_peak_qubits: usize, + pub overlaid_reference9_peak_qubits: usize, + pub baseline_add257: RegisterSharedGateCounts, + pub overlaid_add257: RegisterSharedGateCounts, + pub baseline_sub257: RegisterSharedGateCounts, + pub overlaid_sub257: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q826RemainderTPrimeHostProofReport { + pub configurations_checked: usize, + pub kernels_checked: usize, + pub selected_inputs_checked: usize, + pub baseline_candidate_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub lender_clean_entry_checks: usize, + pub lender_restoration_checks: usize, + pub disjoint_layout_checks: usize, + pub remapped_stream_identity_checks: usize, + pub default_stream_identity_checks: usize, + pub baseline_owned_lanes: usize, + pub hosted_owned_lanes: usize, + pub borrowed_lanes: usize, + pub peak_qubit_reduction: usize, + pub baseline_add: RegisterSharedGateCounts, + pub hosted_add: RegisterSharedGateCounts, + pub baseline_sub: RegisterSharedGateCounts, + pub hosted_sub: RegisterSharedGateCounts, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q826CoefficientLsHostProofReport { + pub configurations_checked: usize, + pub directions_checked: usize, + pub entry_parities_checked: usize, + pub selected_inputs_checked: usize, + pub baseline_candidate_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub lender_clean_entry_checks: usize, + pub lender_restoration_checks: usize, + pub disjoint_layout_checks: usize, + pub remapped_stream_identity_checks: usize, + pub default_stream_identity_checks: usize, + pub baseline_local: Q847LifetimeLocalResources, + pub hosted_local: Q847LifetimeLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q826CoefficientNestedCounterProofReport { + pub basis_states_checked: usize, + pub increment_checks: usize, + pub decrement_checks: usize, + pub inverse_pair_checks: usize, + pub carry_clean_checks: usize, + pub dirty_lender_restore_checks: usize, + pub exact_reverse_stream_checks: usize, + pub mutant_cases_checked: usize, + pub mutants_rejected: usize, + pub increment: RegisterSharedGateCounts, + pub decrement: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q826RotatedSwapTPrimeHostProofReport { + pub directions_checked: usize, + pub simulator_shots_checked: usize, + pub remapped_stream_identity_checks: usize, + pub default_stream_identity_checks: usize, + pub route_hash_checks: usize, + pub gate_count_identity_checks: usize, + pub roundtrip_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub lender_clean_entry_checks: usize, + pub lender_restoration_checks: usize, + pub disjoint_layout_checks: usize, + pub same_shape_calls: usize, + pub mixed_shape_calls: usize, + pub mutants_rejected: usize, + pub baseline_owned_lanes: usize, + pub hosted_owned_lanes: usize, + pub borrowed_lanes: usize, + pub peak_qubit_reduction: usize, + pub baseline_counts: RegisterSharedGateCounts, + pub hosted_counts: RegisterSharedGateCounts, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q825OneShortMcxProofReport { + pub controls: usize, + pub dirty_lenders: usize, + pub basis_states_checked: usize, + pub preserved_lane_checks: usize, + pub inverse_pair_checks: usize, + pub peak_qubits: usize, + pub emitted_toffoli: usize, +} + +pub const Q825_LQ7_COMPONENT_PROOF_SCHEMA: &str = "q825-lq7-component-proof-v1"; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q825Lq7ComponentRouteResources { + pub source_is_complemented: bool, + pub mixed_boundary: bool, + pub source_lanes: usize, + pub boundary_lanes: usize, + pub length_lanes: usize, + pub output_lanes: usize, + pub scratch_lanes: usize, + pub active_qubits: usize, + pub peak_qubits: usize, + pub emitted_ops: usize, + pub emitted_x: usize, + pub emitted_cx: usize, + pub emitted_toffoli: usize, +} + +/// Bounded evidence for the exact Q825 split-five one-short component. +/// +/// This report deliberately describes an enumerated component domain. It is +/// not an all-input proof of the enclosing inversion or point-addition route. +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q825Lq7ComponentProofReport { + pub schema: &'static str, + pub source_lanes: usize, + pub scratch_lanes: usize, + pub source_bit_lengths_checked: usize, + pub source_classes_checked: usize, + pub source_patterns_checked: usize, + pub complement_modes_checked: usize, + pub boundary_forms_checked: usize, + pub control_values_checked: usize, + pub output_patterns_checked: usize, + pub h7_identity_checks: usize, + pub z128_implies_z256_checks: usize, + pub borrow_identity_cases: usize, + pub borrow_factor_cases: usize, + pub same_enabled_product_cases: usize, + pub mixed_enabled_product_cases: usize, + pub production_configurations_checked: usize, + pub same_boundary_cases_checked: usize, + pub mixed_boundary_cases_checked: usize, + pub production_cases_checked: usize, + pub oracle_output_checks: usize, + pub control_off_checks: usize, + pub nonzero_output_cases: usize, + pub source_lane_preservation_checks: usize, + pub boundary_lane_preservation_checks: usize, + pub control_preservation_checks: usize, + pub length_lane_preservation_checks: usize, + pub scratch_lane_restoration_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub allocation_free_shape_checks: usize, + pub output_target_only_stream_checks: usize, + pub same_plain: Q825Lq7ComponentRouteResources, + pub same_complemented: Q825Lq7ComponentRouteResources, + pub mixed_plain: Q825Lq7ComponentRouteResources, + pub mixed_complemented: Q825Lq7ComponentRouteResources, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceNormalizedControlProofReport { + pub length_widths_checked: usize, + pub basis_states_checked: usize, + pub inverse_pair_checks: usize, + pub scratch_clean_checks: usize, + pub oracle_transition_checks: usize, + pub phase_update9: RegisterSharedGateCounts, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceLengthSwapProofReport { + pub work_widths_checked: usize, + pub basis_states_checked: usize, + pub quadratic_oracle_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub scratch_clean_checks: usize, + pub control_off_identity_checks: usize, + pub conditional_work_length_swap259: RegisterSharedGateCounts, + pub conditional_steps: usize, + pub standalone_active_qubits: usize, + pub standalone_peak_qubits: usize, + pub temporary_peak_qubits: usize, + pub projected_reference_peak_qubits: usize, + pub scheduled_toffoli: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceBorrowedCoefficientComparatorProofReport { + pub widths_checked: usize, + pub basis_states_checked: usize, + pub control_off_identity_checks: usize, + pub equality_boundary_checks: usize, + pub subtraction_underflow_checks: usize, + pub addition_overflow_checks: usize, + pub oracle_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub operand_restore_checks: usize, + pub ancilla_clean_checks: usize, + pub baseline_reference9: RegisterSharedGateCounts, + pub borrowed_reference9: RegisterSharedGateCounts, + pub baseline_reference9_active_qubits: usize, + pub baseline_reference9_peak_qubits: usize, + pub baseline_reference9_temporary_qubits: usize, + pub borrowed_reference9_active_qubits: usize, + pub borrowed_reference9_peak_qubits: usize, + pub borrowed_reference9_temporary_qubits: usize, + pub borrowed_caller_lanes: usize, + pub borrowed_reference9_fresh_qubits: usize, + pub reference9_toffoli_reduction: usize, + pub reference9_standalone_peak_reduction: usize, + pub production_incremental_caller_qubits: usize, + pub reference9_production_local_peak_reduction: usize, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct Q847LifetimeLocalResources { + pub active_qubits: usize, + pub peak_qubits: usize, + pub temporary_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct PromisedLqSwapBorrowProofReport { + pub configurations_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_checks: usize, + pub control_off_nonzero_l_q_checks: usize, + pub control_off_invalid_support_checks: usize, + pub control_on_promised_support_checks: usize, + pub lender_restore_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_stream_identity_checks: usize, + pub reference_lender_lanes: usize, + pub reset_ops_removed_per_invocation: usize, + pub whole_point_add_invocations: usize, + pub whole_point_add_ops_delta: i64, + pub whole_point_add_toffoli_delta: i64, + pub baseline_local: Q847LifetimeLocalResources, + pub candidate_local: Q847LifetimeLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct PromisedSwapSupportLifetimeFusionProofReport { + pub configurations_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_checks: usize, + pub control_off_nonzero_l_q_checks: usize, + pub control_on_promised_support_checks: usize, + pub excluded_mixed_width_overflow_states: usize, + pub lender_restore_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_stream_identity_checks: usize, + pub baseline_local: Q847LifetimeLocalResources, + pub candidate_local: Q847LifetimeLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q845SwapOnlyCoefficientProofReport { + pub dependency_checks: usize, + pub full_feature_environment_checks: usize, + pub truncated_guard_default_off_stream_identity_checks: usize, + pub truncated_range_comparator_cases_checked: usize, + pub truncated_guard_layout_cases_checked: usize, + pub truncated_guard_trace_checks: usize, + pub production_truncated_address_cases_checked: usize, + pub layout_cases_checked: usize, + pub internal_boundary_layout_cases_checked: usize, + pub promised_basis_states_checked: usize, + pub oracle_transition_checks: usize, + pub inverse_pair_checks: usize, + pub scratch_clean_checks: usize, + pub cursor_restore_checks: usize, + pub count_restore_checks: usize, + pub residue_preservation_checks: usize, + pub excluded_suffix_preservation_checks: usize, + pub default_off_stream_identity_checks: usize, + pub ephemeral_swap_cases_checked: usize, + pub ephemeral_control_on_checks: usize, + pub ephemeral_control_off_checks: usize, + pub persistent_lifecycle_equivalence_checks: usize, + pub ephemeral_inverse_pair_checks: usize, + pub ephemeral_l_t_prime_zero_checks: usize, + pub ephemeral_phase_clean_checks: usize, + pub ephemeral_ancilla_clean_checks: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q851FixedSignEventProofReport { + pub identity_pairs_checked: usize, + pub body_256_checks: usize, + pub production_schedule_widths_checked: usize, + pub domain_fallback_stream_identity_checks: usize, + pub route_branch_cases_checked: usize, + pub route_transition_index_checks: usize, + pub route_body_sign_observation_checks: usize, + pub route_cursor_restore_checks: usize, + pub transition_events_checked: usize, + pub transition_basis_states_checked: usize, + pub direction_stream_identity_checks: usize, + pub sequence_widths_checked: usize, + pub forward_sequence_cases_checked: usize, + pub reverse_sequence_cases_checked: usize, + pub exact_reverse_stream_checks: usize, + pub cursor_restore_checks: usize, + pub scratch_clean_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_off_stream_identity_checks: usize, + pub allocation_free_microkernels_checked: usize, + pub allocation_free_sequence_transitions_checked: usize, + pub transition_toffoli: usize, + pub transition_x_min: usize, + pub transition_x_max: usize, + pub transition_ops_min: usize, + pub transition_ops_max: usize, + pub baseline_transition9: RegisterSharedGateCounts, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SplitCoefficientRotationLifetimeProofReport { + pub configurations_checked: usize, + pub lender_modes_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_checks: usize, + pub lender_restore_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_stream_identity_checks: usize, + pub split_release_checks: usize, + pub split_recompute_checks: usize, + pub reference_rotation_lanes_released: usize, + pub whole_point_add_invocations: usize, + pub whole_point_add_ops_delta: i64, + pub whole_point_add_toffoli_delta: i64, + pub baseline_local: Q847LifetimeLocalResources, + pub candidate_local: Q847LifetimeLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct CoefficientLessThanLaneReuseProofReport { + pub configurations_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_checks: usize, + pub boundary_restore_checks: usize, + pub lender_restore_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_stream_identity_checks: usize, + pub alias_rejections: usize, + pub caller_lanes_reused: usize, + pub reset_ops_removed_per_invocation: usize, + pub whole_point_add_invocations: usize, + pub whole_point_add_ops_delta: i64, + pub baseline_local: Q847LifetimeLocalResources, + pub candidate_local: Q847LifetimeLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct CleanChainCoefficientAddLenderProofReport { + pub configurations_checked: usize, + pub directions_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_identity_checks: usize, + pub length_preservation_checks: usize, + pub lender_clean_entry_checks: usize, + pub lender_restore_checks: usize, + pub roundtrip_checks: usize, + pub lender_window_phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_stream_identity_checks: usize, + pub distinctness_rejections: usize, + pub composition_basis_states_checked: usize, + pub composition_equivalence_checks: usize, + pub composition_lender_clean_entry_checks: usize, + pub composition_lender_restore_checks: usize, + pub composition_lender_window_phase_clean_checks: usize, + pub composition_ancilla_clean_checks: usize, + pub caller_lanes_reused: usize, + pub reset_ops_removed_per_invocation: usize, + pub whole_point_add_invocations: usize, + pub whole_point_add_ops_delta: i64, + pub baseline_local: Q847LifetimeLocalResources, + pub candidate_local: Q847LifetimeLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct InPlaceLtCursorLegacyDifferentialProofReport { + pub less_than_configurations_checked: usize, + pub coefficient_add_configurations_checked: usize, + pub coefficient_add_directions_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_checks: usize, + pub length_restore_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub legacy_streams_checked: usize, + pub copied_cursor_lanes_removed: usize, + pub local_ops_removed: usize, + pub local_cx_removed: usize, + pub local_resets_removed: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct PreservedDyTopPrefixLoanProofReport { + pub configurations_checked: usize, + pub directions_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_checks: usize, + pub lender_clean_entry_checks: usize, + pub lender_restore_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub borrow_windows_checked: usize, + pub alias_rejections: usize, + pub baseline_owned_prefix_lanes: usize, + pub candidate_owned_prefix_lanes: usize, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct MixedLrPrimeProofReport { + pub boundary_configurations_checked: usize, + pub swap_configurations_checked: usize, + pub directions_checked: usize, + pub boundary_basis_states_checked: usize, + pub swap_basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub control_off_checks: usize, + pub unsupported_control_on_states: usize, + pub omitted_high_lane_clean_checks: usize, + pub inverse_pair_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ReferenceWholeStepProofReport { + pub modulus: u64, + pub nonzero_inputs_checked: usize, + pub steps_per_input: usize, + pub boundary_transitions_checked: usize, + pub inverse_transition_checks: usize, + pub scratch_clean_checks: usize, + pub data_qubits: usize, + pub step_active_qubits: usize, + pub step_peak_qubits: usize, + pub temporary_peak_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct ReferenceScheduledInversionProfile { + pub steps: usize, + pub inversion_state_qubits: usize, + pub passenger_qubits: usize, + pub point_add_state_qubits: usize, + pub inversion_peak_qubits: usize, + pub projected_point_add_peak_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, + pub emitted_hmr: usize, + pub emitted_resets: usize, +} + +fn measurement_classical_gate_counts(ops: &[crate::circuit::Op]) -> RegisterSharedGateCounts { + use crate::circuit::OperationType; + + let mut counts = RegisterSharedGateCounts::default(); + for operation in ops { + match operation.kind { + OperationType::X => counts.x += 1, + OperationType::CX => counts.cx += 1, + OperationType::CCX | OperationType::CCZ => counts.ccx += 1, + OperationType::Neg + | OperationType::Z + | OperationType::CZ + | OperationType::R + | OperationType::Hmr + | OperationType::PushCondition + | OperationType::PopCondition => {} + other => panic!("length-swap proof emitted unsupported operation {other:?}"), + } + } + counts.total = counts.x + counts.cx + counts.ccx; + counts +} + +fn ceil_safe(value: f64) -> isize { + (value - 1e-12).ceil() as isize +} + +fn floor_safe(value: f64) -> isize { + (value + 1e-12).floor() as isize +} + +#[must_use] +pub fn reference_active_windows(n: usize, step: usize) -> ReferenceActiveWindows { + assert!(step > 0); + let n = n as isize; + let step = step as isize; + let phi = (5.0f64.sqrt() + 1.0) / 2.0; + let c = 1.0 / phi.log2(); + let k1 = ceil_safe((step as f64 - (n + 2) as f64) / (4.0 * c - 1.0)).max(1) + 2; + let upper1 = n + 3; + let k2 = ceil_safe((step as f64 - 3.0 * (n + 2) as f64) / (4.0 * c - 3.0)).max(1) + 1; + let upper2 = floor_safe(step as f64 / 2.0).min(n) + 2; + let upper3 = ceil_safe(step as f64 / 4.0).min(n) + 1; + let k4 = ceil_safe((step as f64 - 4.0 * (n + 2) as f64) / (4.0 * c - 4.0)).max(1); + let upper4 = floor_safe(step as f64 / 4.0 + 3.0).min(n + 3); + let k5 = ceil_safe(step as f64 / (4.0 * c)); + let upper5 = floor_safe(step as f64 / 4.0 + 4.0).min(n + 3); + assert!(k1 <= upper1 && k2 <= upper2 && 1 <= upper3 && k4 <= upper4 && k5 <= upper5); + ReferenceActiveWindows { + r_add_sub: (k1 as usize, upper1 as usize), + quotient_swap: (k2 as usize, upper2 as usize), + t_add_sub: (1, upper3 as usize), + length_update_t: (k4 as usize, upper4 as usize), + length_update_r: (k5 as usize, upper5 as usize), + } +} + +fn inclusive_width(window: (usize, usize)) -> usize { + window.1 - window.0 + 1 +} + +#[must_use] +pub fn exhaustive_reference_schedule_check() -> ReferenceScheduleProofReport { + let mut report = ReferenceScheduleProofReport { + steps_checked: 0, + r_window_sum: 0, + quotient_swap_window_sum: 0, + t_window_sum: 0, + length_t_window_sum: 0, + length_r_window_sum: 0, + maximum_r_window: 0, + maximum_quotient_swap_window: 0, + maximum_t_window: 0, + maximum_length_t_window: 0, + maximum_length_r_window: 0, + }; + for step in 1..=REFERENCE_STEPS { + let windows = reference_active_windows(256, step); + let r = inclusive_width(windows.r_add_sub); + let swap = inclusive_width(windows.quotient_swap); + let t = inclusive_width(windows.t_add_sub); + let length_t = inclusive_width(windows.length_update_t); + let length_r = inclusive_width(windows.length_update_r); + report.steps_checked += 1; + report.r_window_sum += r; + report.quotient_swap_window_sum += swap; + report.t_window_sum += t; + report.length_t_window_sum += length_t; + report.length_r_window_sum += length_r; + report.maximum_r_window = report.maximum_r_window.max(r); + report.maximum_quotient_swap_window = report.maximum_quotient_swap_window.max(swap); + report.maximum_t_window = report.maximum_t_window.max(t); + report.maximum_length_t_window = report.maximum_length_t_window.max(length_t); + report.maximum_length_r_window = report.maximum_length_r_window.max(length_r); + } + report +} + +fn majority(circ: &mut Circuit, a: &QReg, b: &QReg, carry: &QReg) { + circ.cx(a, b); + circ.cx(a, carry); + circ.ccx(carry, b, a); +} + +fn unmajority_add(circ: &mut Circuit, a: &QReg, b: &QReg, carry: &QReg) { + circ.ccx(carry, b, a); + circ.cx(a, carry); + circ.cx(carry, b); +} + +fn majority_inverse(circ: &mut Circuit, a: &QReg, b: &QReg, carry: &QReg) { + circ.ccx(carry, b, a); + circ.cx(a, carry); + circ.cx(a, b); +} + +fn unmajority_add_inverse(circ: &mut Circuit, a: &QReg, b: &QReg, carry: &QReg) { + circ.cx(carry, b); + circ.cx(a, carry); + circ.ccx(carry, b, a); +} + +/// `b += a mod 2^n`; `carry` is restored and `overflow` receives carry-out. +pub fn cuccaro_add_mod_2n( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + carry: &QReg, + overflow: &QReg, +) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + majority(circ, &a[0], &b[0], carry); + for index in 1..a.len() { + majority(circ, &a[index], &b[index], &a[index - 1]); + } + circ.cx(&a[a.len() - 1], overflow); + for index in (1..a.len()).rev() { + unmajority_add(circ, &a[index], &b[index], &a[index - 1]); + } + unmajority_add(circ, &a[0], &b[0], carry); +} + +/// Exact inverse of [`cuccaro_add_mod_2n`]. +pub fn cuccaro_sub_mod_2n( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + carry: &QReg, + overflow: &QReg, +) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + unmajority_add_inverse(circ, &a[0], &b[0], carry); + for index in 1..a.len() { + unmajority_add_inverse(circ, &a[index], &b[index], &a[index - 1]); + } + circ.cx(&a[a.len() - 1], overflow); + for index in (1..a.len()).rev() { + majority_inverse(circ, &a[index], &b[index], &a[index - 1]); + } + majority_inverse(circ, &a[0], &b[0], carry); +} + +/// `b += a mod 2^n` without materializing the discarded carry-out. +fn cuccaro_add_mod_2n_no_overflow(circ: &mut Circuit, a: &[QReg], b: &[QReg], carry: &QReg) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + majority(circ, &a[0], &b[0], carry); + for index in 1..a.len() { + majority(circ, &a[index], &b[index], &a[index - 1]); + } + for index in (1..a.len()).rev() { + unmajority_add(circ, &a[index], &b[index], &a[index - 1]); + } + unmajority_add(circ, &a[0], &b[0], carry); +} + +/// Exact inverse of [`cuccaro_add_mod_2n_no_overflow`]. +fn cuccaro_sub_mod_2n_no_overflow(circ: &mut Circuit, a: &[QReg], b: &[QReg], carry: &QReg) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + unmajority_add_inverse(circ, &a[0], &b[0], carry); + for index in 1..a.len() { + unmajority_add_inverse(circ, &a[index], &b[index], &a[index - 1]); + } + for index in (1..a.len()).rev() { + majority_inverse(circ, &a[index], &b[index], &a[index - 1]); + } + majority_inverse(circ, &a[0], &b[0], carry); +} + +fn cuccaro_add_mod_2n_no_overflow_refs( + circ: &mut Circuit, + a: &[&QReg], + b: &[QReg], + carry: &QReg, +) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + majority(circ, a[0], &b[0], carry); + for index in 1..a.len() { + majority(circ, a[index], &b[index], a[index - 1]); + } + for index in (1..a.len()).rev() { + unmajority_add(circ, a[index], &b[index], a[index - 1]); + } + unmajority_add(circ, a[0], &b[0], carry); +} + +fn cuccaro_sub_mod_2n_no_overflow_refs( + circ: &mut Circuit, + a: &[&QReg], + b: &[QReg], + carry: &QReg, +) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + unmajority_add_inverse(circ, a[0], &b[0], carry); + for index in 1..a.len() { + unmajority_add_inverse(circ, a[index], &b[index], a[index - 1]); + } + for index in (1..a.len()).rev() { + majority_inverse(circ, a[index], &b[index], a[index - 1]); + } + majority_inverse(circ, a[0], &b[0], carry); +} + +/// Add a shorter value into an `n`-bit target using caller-owned clean zero +/// extensions. Every extension lane and the carry are restored. +fn cuccaro_add_zero_extended_no_overflow( + circ: &mut Circuit, + short: &[QReg], + target: &[QReg], + carry: &QReg, + zero_extensions: &[&QReg], +) { + assert_eq!(short.len() + zero_extensions.len(), target.len()); + assert!(!zero_extensions.is_empty()); + for (index, extension) in zero_extensions.iter().enumerate() { + assert!(short.iter().all(|lane| lane.id() != extension.id())); + assert!(target.iter().all(|lane| lane.id() != extension.id())); + assert_ne!(carry.id(), extension.id()); + assert!(zero_extensions[..index] + .iter() + .all(|other| other.id() != extension.id())); + } + let source: Vec<&QReg> = short.iter().chain(zero_extensions.iter().copied()).collect(); + cuccaro_add_mod_2n_no_overflow_refs(circ, &source, target, carry); +} + +fn cuccaro_sub_zero_extended_no_overflow( + circ: &mut Circuit, + short: &[QReg], + target: &[QReg], + carry: &QReg, + zero_extensions: &[&QReg], +) { + assert_eq!(short.len() + zero_extensions.len(), target.len()); + assert!(!zero_extensions.is_empty()); + for (index, extension) in zero_extensions.iter().enumerate() { + assert!(short.iter().all(|lane| lane.id() != extension.id())); + assert!(target.iter().all(|lane| lane.id() != extension.id())); + assert_ne!(carry.id(), extension.id()); + assert!(zero_extensions[..index] + .iter() + .all(|other| other.id() != extension.id())); + } + let source: Vec<&QReg> = short.iter().chain(zero_extensions.iter().copied()).collect(); + cuccaro_sub_mod_2n_no_overflow_refs(circ, &source, target, carry); +} + +/// Controlled increment with a caller-composed reference slice of clean carries. +fn controlled_increment_mod_2n_carry_refs( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + carries: &[&QReg], +) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.cx(control, ®ister[0]); + return; + } + assert!(carries.len() >= width - 1); + circ.ccx(control, ®ister[0], carries[0]); + circ.cx(control, ®ister[0]); + for index in 1..width - 1 { + circ.ccx(®ister[index], carries[index - 1], carries[index]); + } + circ.cx(carries[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.ccx(®ister[index], carries[index - 1], carries[index]); + circ.cx(carries[index - 1], ®ister[index]); + } + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], carries[0]); + circ.cx(control, ®ister[0]); +} + +/// Controlled decrement with a caller-composed reference slice of clean borrows. +fn controlled_decrement_mod_2n_carry_refs( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + borrows: &[&QReg], +) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.cx(control, ®ister[0]); + return; + } + assert!(borrows.len() >= width - 1); + circ.x(®ister[0]); + circ.ccx(control, ®ister[0], borrows[0]); + circ.x(®ister[0]); + circ.cx(control, ®ister[0]); + for index in 1..width - 1 { + circ.x(®ister[index]); + circ.ccx(®ister[index], borrows[index - 1], borrows[index]); + circ.x(®ister[index]); + } + circ.cx(borrows[width - 2], ®ister[width - 1]); + for index in (1..width - 1).rev() { + circ.x(®ister[index]); + circ.ccx(®ister[index], borrows[index - 1], borrows[index]); + circ.x(®ister[index]); + circ.cx(borrows[index - 1], ®ister[index]); + } + circ.cx(control, ®ister[0]); + circ.x(®ister[0]); + circ.ccx(control, ®ister[0], borrows[0]); + circ.x(®ister[0]); + circ.cx(control, ®ister[0]); +} + +/// Borrowed-view Cuccaro add used to append a clean zero-extension lane. +fn cuccaro_add_mod_2n_refs( + circ: &mut Circuit, + a: &[&QReg], + b: &[QReg], + carry: &QReg, + overflow: &QReg, +) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + majority(circ, a[0], &b[0], carry); + for index in 1..a.len() { + majority(circ, a[index], &b[index], a[index - 1]); + } + circ.cx(a[a.len() - 1], overflow); + for index in (1..a.len()).rev() { + unmajority_add(circ, a[index], &b[index], a[index - 1]); + } + unmajority_add(circ, a[0], &b[0], carry); +} + +/// Exact inverse of [`cuccaro_add_mod_2n_refs`]. +fn cuccaro_sub_mod_2n_refs( + circ: &mut Circuit, + a: &[&QReg], + b: &[QReg], + carry: &QReg, + overflow: &QReg, +) { + assert_eq!(a.len(), b.len()); + assert!(!a.is_empty()); + unmajority_add_inverse(circ, a[0], &b[0], carry); + for index in 1..a.len() { + unmajority_add_inverse(circ, a[index], &b[index], a[index - 1]); + } + circ.cx(a[a.len() - 1], overflow); + for index in (1..a.len()).rev() { + majority_inverse(circ, a[index], &b[index], a[index - 1]); + } + majority_inverse(circ, a[0], &b[0], carry); +} + +pub fn toggle_constant(circ: &mut Circuit, register: &[QReg], value: usize) { + let reduced = value % (1usize << register.len()); + for (index, bit) in register.iter().enumerate() { + if ((reduced >> index) & 1) != 0 { + circ.x(bit); + } + } +} + +pub fn add_const_mod_2n(circ: &mut Circuit, register: &[QReg], value: usize, scratch: &[QReg]) { + assert!(scratch.len() >= register.len() + 2); + let (constant, tail) = scratch.split_at(register.len()); + toggle_constant(circ, constant, value); + cuccaro_add_mod_2n(circ, constant, register, &tail[0], &tail[1]); + toggle_constant(circ, constant, value); +} + +pub fn sub_const_mod_2n(circ: &mut Circuit, register: &[QReg], value: usize, scratch: &[QReg]) { + assert!(scratch.len() >= register.len() + 2); + let (constant, tail) = scratch.split_at(register.len()); + toggle_constant(circ, constant, value); + cuccaro_sub_mod_2n(circ, constant, register, &tail[0], &tail[1]); + toggle_constant(circ, constant, value); +} + +fn add_const_mod_2n_no_overflow( + circ: &mut Circuit, + register: &[QReg], + value: usize, + scratch: &[QReg], +) { + assert_eq!(scratch.len(), register.len() + 1); + let (constant, carry) = scratch.split_at(register.len()); + toggle_constant(circ, constant, value); + cuccaro_add_mod_2n_no_overflow(circ, constant, register, &carry[0]); + toggle_constant(circ, constant, value); +} + +fn sub_const_mod_2n_no_overflow( + circ: &mut Circuit, + register: &[QReg], + value: usize, + scratch: &[QReg], +) { + assert_eq!(scratch.len(), register.len() + 1); + let (constant, carry) = scratch.split_at(register.len()); + toggle_constant(circ, constant, value); + cuccaro_sub_mod_2n_no_overflow(circ, constant, register, &carry[0]); + toggle_constant(circ, constant, value); +} + +fn remainder_add_const_mod_2n( + circ: &mut Circuit, + register: &[QReg], + value: usize, + scratch: &[QReg], +) { + match scratch.len().checked_sub(register.len()) { + Some(1) => add_const_mod_2n_no_overflow(circ, register, value, scratch), + Some(2) => add_const_mod_2n(circ, register, value, scratch), + extra => panic!("remainder constant add requires one or two tail lanes, got {extra:?}"), + } +} + +fn remainder_sub_const_mod_2n( + circ: &mut Circuit, + register: &[QReg], + value: usize, + scratch: &[QReg], +) { + match scratch.len().checked_sub(register.len()) { + Some(1) => sub_const_mod_2n_no_overflow(circ, register, value, scratch), + Some(2) => sub_const_mod_2n(circ, register, value, scratch), + extra => panic!("remainder constant sub requires one or two tail lanes, got {extra:?}"), + } +} + +fn equality_flag( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + value: usize, + flag: &QReg, + chain: &[QReg], +) { + let reduced = value % (1usize << register.len()); + for (index, bit) in register.iter().enumerate() { + if ((reduced >> index) & 1) == 0 { + circ.x(bit); + } + } + let mut controls = Vec::with_capacity(register.len() + 1); + controls.push(control); + controls.extend(register.iter()); + multi_controlled_x_vchain(circ, &controls, flag, chain); + for (index, bit) in register.iter().enumerate() { + if ((reduced >> index) & 1) == 0 { + circ.x(bit); + } + } +} + +#[allow(clippy::too_many_arguments)] +fn controlled_dynamic_swaps( + circ: &mut Circuit, + active: &QReg, + sign: &QReg, + work1_window: &[QReg], + sum: &[QReg], + first_global_index: usize, + flag: &QReg, + chain: &[QReg], + reverse: bool, +) { + if reverse { + for (local_index, work_bit) in work1_window.iter().enumerate().rev() { + let global_index = first_global_index + local_index; + equality_flag(circ, active, sum, global_index, flag, chain); + circ.cswap(flag, work_bit, sign); + equality_flag(circ, active, sum, global_index, flag, chain); + } + } else { + for (local_index, work_bit) in work1_window.iter().enumerate() { + let global_index = first_global_index + local_index; + equality_flag(circ, active, sum, global_index, flag, chain); + circ.cswap(flag, work_bit, sign); + equality_flag(circ, active, sum, global_index, flag, chain); + } + } +} + +/// Exact dynamic swap used by the quotient phase. +/// +/// The active predicate is `phase1 XOR phase2`. The selected packed Work1 bit +/// is indexed by `l_t + l_q + 1` while the quotient grows and by `l_t + l_q` +/// while it shrinks. This accounts for the zero delimiter between little-endian +/// `t` and big-endian `q`. The construction is linear in the active window and +/// uses exactly `length_width + 2` clean scratch lanes. +#[allow(clippy::too_many_arguments)] +pub fn location_controlled_swap_one_hot( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1_window: &[QReg], + first_global_index: usize, + l_t: &[QReg], + l_q: &[QReg], + scratch: &[QReg], +) { + assert!(!l_q.is_empty() && l_q.len() < l_t.len()); + assert!(!l_t.is_empty()); + assert!(scratch.len() >= l_t.len() + 2); + let carry = &scratch[0]; + let overflow = &scratch[1]; + let flag = &scratch[2]; + let chain = &scratch[3..]; + assert!(chain.len() >= l_t.len().saturating_sub(1)); + let extension_count = l_t.len() - l_q.len(); + let zero_extensions = std::iter::once(overflow) + .chain(chain.iter().take(extension_count - 1)) + .collect::>(); + assert_eq!(zero_extensions.len(), extension_count); + + circ.cx(phase1, phase2); + let controls = [phase2, phase1]; + circ.x(phase1); + controlled_add_one(circ, &controls, l_q, chain); + circ.x(phase1); + cuccaro_add_zero_extended_no_overflow(circ, l_q, l_t, carry, &zero_extensions); + controlled_dynamic_swaps( + circ, + phase2, + sign, + work1_window, + l_t, + first_global_index, + flag, + chain, + false, + ); + cuccaro_sub_zero_extended_no_overflow(circ, l_q, l_t, carry, &zero_extensions); + controlled_sub_one(circ, &controls, l_q, chain); + circ.cx(phase1, phase2); +} + +/// Exact inverse of [`location_controlled_swap_one_hot`]. +#[allow(clippy::too_many_arguments)] +pub fn location_controlled_swap_one_hot_inverse( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1_window: &[QReg], + first_global_index: usize, + l_t: &[QReg], + l_q: &[QReg], + scratch: &[QReg], +) { + assert!(!l_q.is_empty() && l_q.len() < l_t.len()); + assert!(!l_t.is_empty()); + assert!(scratch.len() >= l_t.len() + 2); + let carry = &scratch[0]; + let overflow = &scratch[1]; + let flag = &scratch[2]; + let chain = &scratch[3..]; + assert!(chain.len() >= l_t.len().saturating_sub(1)); + let extension_count = l_t.len() - l_q.len(); + let zero_extensions = std::iter::once(overflow) + .chain(chain.iter().take(extension_count - 1)) + .collect::>(); + assert_eq!(zero_extensions.len(), extension_count); + + circ.cx(phase1, phase2); + let controls = [phase2, phase1]; + controlled_add_one(circ, &controls, l_q, chain); + cuccaro_add_zero_extended_no_overflow(circ, l_q, l_t, carry, &zero_extensions); + controlled_dynamic_swaps( + circ, + phase2, + sign, + work1_window, + l_t, + first_global_index, + flag, + chain, + true, + ); + cuccaro_sub_zero_extended_no_overflow(circ, l_q, l_t, carry, &zero_extensions); + circ.x(phase1); + controlled_sub_one(circ, &controls, l_q, chain); + circ.x(phase1); + circ.cx(phase1, phase2); +} + +fn toggle_control_and_nonnegative( + circ: &mut Circuit, + control: &QReg, + signed_length: &[QReg], + active: &QReg, +) { + let sign = signed_length.last().expect("nonempty signed length"); + circ.x(sign); + circ.ccx(control, sign, active); + circ.x(sign); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum CoefficientNonnegativeBracket { + Legacy, + CancelMiddleX, +} + +fn production_coefficient_nonnegative_bracket() -> CoefficientNonnegativeBracket { + if coefficient_nonnegative_x_cancel_requested() { + CoefficientNonnegativeBracket::CancelMiddleX + } else { + CoefficientNonnegativeBracket::Legacy + } +} + +fn begin_coefficient_nonnegative_bracket( + circ: &mut Circuit, + control: &QReg, + signed_length: &[QReg], + active: &QReg, + bracket: CoefficientNonnegativeBracket, +) { + let sign = signed_length.last().expect("nonempty signed length"); + begin_coefficient_nonnegative_sign_bracket(circ, control, sign, active, bracket); +} + +fn begin_coefficient_nonnegative_sign_bracket( + circ: &mut Circuit, + control: &QReg, + sign: &QReg, + active: &QReg, + bracket: CoefficientNonnegativeBracket, +) { + if bracket == CoefficientNonnegativeBracket::Legacy { + circ.x(sign); + circ.ccx(control, sign, active); + circ.x(sign); + return; + } + circ.x(sign); + circ.ccx(control, sign, active); +} + +fn end_coefficient_nonnegative_bracket( + circ: &mut Circuit, + control: &QReg, + signed_length: &[QReg], + active: &QReg, + bracket: CoefficientNonnegativeBracket, +) { + let sign = signed_length.last().expect("nonempty signed length"); + end_coefficient_nonnegative_sign_bracket(circ, control, sign, active, bracket); +} + +fn end_coefficient_nonnegative_sign_bracket( + circ: &mut Circuit, + control: &QReg, + sign: &QReg, + active: &QReg, + bracket: CoefficientNonnegativeBracket, +) { + if bracket == CoefficientNonnegativeBracket::Legacy { + circ.x(sign); + circ.ccx(control, sign, active); + circ.x(sign); + return; + } + circ.ccx(control, sign, active); + circ.x(sign); +} + +fn compute_t_sub_enable( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + condition: &QReg, + enable: &QReg, +) { + // condition = phase2 OR !sign; enable = phase1 AND condition. + circ.cx(phase2, condition); + circ.x(sign); + circ.cx(sign, condition); + circ.ccx(phase2, sign, condition); + circ.x(sign); + circ.ccx(phase1, condition, enable); +} + +fn uncompute_t_sub_enable( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + condition: &QReg, + enable: &QReg, +) { + circ.ccx(phase1, condition, enable); + circ.x(sign); + circ.ccx(phase2, sign, condition); + circ.cx(sign, condition); + circ.x(sign); + circ.cx(phase2, condition); +} + +/// Corrected little-endian coefficient-add variant derived from +/// `location_controlled_add_gate_single` at pinned commit b836f59. +/// +/// The public reference iterates the packed coefficient lanes in the opposite +/// direction and omits the standalone sign update used by this route. +#[allow(clippy::too_many_arguments)] +pub fn coefficient_add_single( + circ: &mut Circuit, + phase1: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert!(!work1.is_empty() && !l_t.is_empty()); + assert!(scratch.len() >= l_t.len() + 2); + let carry = &scratch[0]; + let active = &scratch[1]; + let tmp = &scratch[2]; + let length_chain = &scratch[3..]; + + for index in 0..work1.len() { + toggle_control_and_nonnegative(circ, phase1, l_t, active); + circ.ccx(active, carry, &work2[index]); + circ.ccx(active, carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + toggle_control_and_nonnegative(circ, phase1, l_t, active); + if index + 1 != work1.len() { + decrement_mod_2n(circ, l_t, length_chain); + } + } + + circ.ccx(phase1, carry, sign); + circ.cx(phase1, sign); + + for index in (0..work1.len()).rev() { + toggle_control_and_nonnegative(circ, phase1, l_t, active); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, &work1[index]); + circ.ccx(active, &work1[index], &work2[index]); + toggle_control_and_nonnegative(circ, phase1, l_t, active); + if index != 0 { + increment_mod_2n(circ, l_t, length_chain); + } + } +} + +/// Exact inverse of [`coefficient_add_single`]. +#[allow(clippy::too_many_arguments)] +pub fn coefficient_add_single_inverse( + circ: &mut Circuit, + phase1: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert!(!work1.is_empty() && !l_t.is_empty()); + assert!(scratch.len() >= l_t.len() + 2); + let carry = &scratch[0]; + let active = &scratch[1]; + let tmp = &scratch[2]; + let length_chain = &scratch[3..]; + + for index in 0..work1.len() { + if index != 0 { + decrement_mod_2n(circ, l_t, length_chain); + } + toggle_control_and_nonnegative(circ, phase1, l_t, active); + circ.ccx(active, &work1[index], &work2[index]); + circ.ccx(active, carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + toggle_control_and_nonnegative(circ, phase1, l_t, active); + } + + circ.cx(phase1, sign); + circ.ccx(phase1, carry, sign); + + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + increment_mod_2n(circ, l_t, length_chain); + } + toggle_control_and_nonnegative(circ, phase1, l_t, active); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, &work1[index]); + circ.ccx(active, carry, &work2[index]); + toggle_control_and_nonnegative(circ, phase1, l_t, active); + } +} + +/// Corrected little-endian coefficient-subtract variant derived from +/// `location_controlled_sub_gate_single` at pinned commit b836f59. +#[allow(clippy::too_many_arguments)] +pub fn coefficient_sub_single( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert!(!work1.is_empty() && !l_t.is_empty()); + assert!(scratch.len() >= l_t.len() + 4); + let carry = &scratch[0]; + let active = &scratch[1]; + let tmp = &scratch[2]; + let condition = &scratch[3]; + let enable = &scratch[4]; + let length_chain = &scratch[5..]; + + compute_t_sub_enable(circ, phase1, phase2, sign, condition, enable); + for index in 0..work1.len() { + toggle_control_and_nonnegative(circ, enable, l_t, active); + circ.ccx(active, &work1[index], &work2[index]); + circ.ccx(active, carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + toggle_control_and_nonnegative(circ, enable, l_t, active); + if index + 1 != work1.len() { + decrement_mod_2n(circ, l_t, length_chain); + } + } + for index in (0..work1.len()).rev() { + toggle_control_and_nonnegative(circ, enable, l_t, active); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, &work1[index]); + circ.ccx(active, carry, &work2[index]); + toggle_control_and_nonnegative(circ, enable, l_t, active); + if index != 0 { + increment_mod_2n(circ, l_t, length_chain); + } + } + uncompute_t_sub_enable(circ, phase1, phase2, sign, condition, enable); +} + +/// Exact inverse of [`coefficient_sub_single`]. +#[allow(clippy::too_many_arguments)] +pub fn coefficient_sub_single_inverse( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert!(!work1.is_empty() && !l_t.is_empty()); + assert!(scratch.len() >= l_t.len() + 4); + let carry = &scratch[0]; + let active = &scratch[1]; + let tmp = &scratch[2]; + let condition = &scratch[3]; + let enable = &scratch[4]; + let length_chain = &scratch[5..]; + + compute_t_sub_enable(circ, phase1, phase2, sign, condition, enable); + for index in 0..work1.len() { + if index != 0 { + decrement_mod_2n(circ, l_t, length_chain); + } + toggle_control_and_nonnegative(circ, enable, l_t, active); + circ.ccx(active, carry, &work2[index]); + circ.ccx(active, carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + toggle_control_and_nonnegative(circ, enable, l_t, active); + } + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + increment_mod_2n(circ, l_t, length_chain); + } + toggle_control_and_nonnegative(circ, enable, l_t, active); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, &work1[index]); + circ.ccx(active, &work1[index], &work2[index]); + toggle_control_and_nonnegative(circ, enable, l_t, active); + } + uncompute_t_sub_enable(circ, phase1, phase2, sign, condition, enable); +} + +struct RemainderScratch<'a> { + carry: &'a QReg, + active: &'a QReg, + tmp: &'a QReg, + length_carry: &'a QReg, + length_overflow: &'a QReg, + constant: &'a [QReg], + walk: &'a [QReg], + nonzero: &'a QReg, + operation: &'a QReg, + phase_sign: &'a QReg, + enable: &'a QReg, + nonzero_chain: &'a [QReg], +} + +pub const PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG: &str = "LOWQ_Q839_PHASE_REMAINDER_SCRATCH"; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum RemainderScratchLayout { + Baseline, + PhaseOverlaid, +} + +fn phase_overlaid_remainder_scratch_requested() -> bool { + std::env::var(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn selected_remainder_scratch_layout() -> RemainderScratchLayout { + if phase_overlaid_remainder_scratch_requested() { + RemainderScratchLayout::PhaseOverlaid + } else { + RemainderScratchLayout::Baseline + } +} + +fn baseline_remainder_scratch_width(length_width: usize, remainder_length_width: usize) -> usize { + 5 + (length_width + 2) + + length_width.saturating_sub(1) + + 4 + + remainder_length_width.saturating_sub(2) +} + +fn phase_overlaid_remainder_scratch_width( + length_width: usize, + remainder_length_width: usize, +) -> usize { + (length_width + 5).max(remainder_length_width).max(8) +} + +fn remainder_scratch_width_for_layout( + length_width: usize, + remainder_length_width: usize, + layout: RemainderScratchLayout, +) -> usize { + match layout { + RemainderScratchLayout::Baseline => { + baseline_remainder_scratch_width(length_width, remainder_length_width) + } + RemainderScratchLayout::PhaseOverlaid => { + phase_overlaid_remainder_scratch_width(length_width, remainder_length_width) + } + } +} + +fn remainder_scratch_width(length_width: usize, remainder_length_width: usize) -> usize { + remainder_scratch_width_for_layout( + length_width, + remainder_length_width, + selected_remainder_scratch_layout(), + ) +} + +fn assert_unique_qreg_ids(label: &str, lanes: &[&QReg]) { + let mut ids = std::collections::HashSet::with_capacity(lanes.len()); + for (index, lane) in lanes.iter().enumerate() { + assert!( + ids.insert(lane.id()), + "{label}: lane {index} aliases another simultaneously live lane" + ); + } +} + +fn assert_remainder_scratch_disjoint_from_data( + label: &str, + controls: &[&QReg], + registers: &[&[QReg]], + scratch: &[QReg], + allowed_scratch_data_alias: Option<&QReg>, +) { + let mut lanes = Vec::with_capacity( + controls.len() + + registers + .iter() + .map(|register| register.len()) + .sum::() + + scratch.len(), + ); + lanes.extend_from_slice(controls); + for register in registers { + lanes.extend(register.iter()); + } + let allowed_id = allowed_scratch_data_alias.map(QReg::id); + let mut allowed_aliases = 0usize; + for lane in scratch { + if Some(lane.id()) == allowed_id { + allowed_aliases += 1; + } else { + lanes.push(lane); + } + } + if allowed_id.is_some() { + assert_eq!( + allowed_aliases, 1, + "{label}: expected exactly one hosted remainder scratch/data alias" + ); + } + assert_unique_qreg_ids(label, &lanes); +} + +fn split_baseline_remainder_scratch<'a>( + scratch: &'a [QReg], + length_width: usize, + remainder_length_width: usize, +) -> RemainderScratch<'a> { + assert!( + scratch.len() >= baseline_remainder_scratch_width(length_width, remainder_length_width) + ); + let mut offset = 0usize; + let carry = &scratch[offset]; + offset += 1; + let active = &scratch[offset]; + offset += 1; + let tmp = &scratch[offset]; + offset += 1; + let length_carry = &scratch[offset]; + offset += 1; + let length_overflow = &scratch[offset]; + offset += 1; + let constant = &scratch[offset..offset + length_width + 2]; + offset += length_width + 2; + let walk = &scratch[offset..offset + length_width.saturating_sub(1)]; + offset += length_width.saturating_sub(1); + let nonzero = &scratch[offset]; + offset += 1; + let operation = &scratch[offset]; + offset += 1; + let phase_sign = &scratch[offset]; + offset += 1; + let enable = &scratch[offset]; + offset += 1; + let nonzero_chain = &scratch[offset..offset + remainder_length_width.saturating_sub(2)]; + RemainderScratch { + carry, + active, + tmp, + length_carry, + length_overflow, + constant, + walk, + nonzero, + operation, + phase_sign, + enable, + nonzero_chain, + } +} + +fn assert_phase_overlaid_remainder_scratch_layout( + scratch: &[QReg], + view: &RemainderScratch<'_>, + length_width: usize, + remainder_length_width: usize, +) { + assert_eq!( + scratch.len(), + phase_overlaid_remainder_scratch_width(length_width, remainder_length_width), + "phase-overlaid remainder scratch requires its exact lane count" + ); + + assert_eq!(view.phase_sign.id(), view.length_overflow.id()); + assert_eq!(view.carry.id(), view.length_carry.id()); + assert_eq!(view.carry.id(), view.constant[0].id()); + assert_eq!(view.constant.len(), length_width + 1); + assert_eq!( + view.walk.iter().map(QReg::id).collect::>(), + view.constant[1..length_width] + .iter() + .map(QReg::id) + .collect::>() + ); + match length_width { + 1 => { + assert_eq!(view.active.id(), view.constant[1].id()); + assert_eq!(view.tmp.id(), scratch[7].id()); + } + 2 => { + assert_eq!(view.active.id(), view.walk[0].id()); + assert_eq!(view.tmp.id(), view.constant[2].id()); + } + _ => { + assert_eq!(view.active.id(), view.walk[0].id()); + assert_eq!(view.tmp.id(), view.walk[1].id()); + } + } + + let mut nonzero_phase = vec![view.nonzero, view.operation]; + nonzero_phase.extend(view.nonzero_chain.iter()); + assert_unique_qreg_ids("remainder nonzero phase", &nonzero_phase); + + assert_unique_qreg_ids( + "remainder add-enable phase", + &[view.nonzero, view.operation, view.enable, view.phase_sign], + ); + + assert_unique_qreg_ids( + "remainder prepare-add phase", + &[ + view.nonzero, + view.operation, + view.enable, + view.length_carry, + view.length_overflow, + ], + ); + + let mut constant_phase = vec![ + view.nonzero, + view.operation, + view.enable, + view.length_overflow, + ]; + constant_phase.extend(view.constant.iter()); + assert_unique_qreg_ids("remainder constant phase", &constant_phase); + + assert_unique_qreg_ids( + "remainder arithmetic phase", + &[ + view.nonzero, + view.operation, + view.enable, + view.length_overflow, + view.carry, + view.active, + view.tmp, + ], + ); + + let mut walk_phase = vec![ + view.nonzero, + view.operation, + view.enable, + view.length_overflow, + view.carry, + ]; + walk_phase.extend(view.walk.iter()); + assert_unique_qreg_ids("remainder walk phase", &walk_phase); +} + +fn split_phase_overlaid_remainder_scratch<'a>( + scratch: &'a [QReg], + length_width: usize, + remainder_length_width: usize, +) -> RemainderScratch<'a> { + assert!(!scratch.is_empty()); + assert!(length_width > 0 && remainder_length_width > 0); + assert_eq!( + scratch.len(), + phase_overlaid_remainder_scratch_width(length_width, remainder_length_width) + ); + + // Lanes 0..=3 hold predicates that cross phases. The constant workspace is + // reinterpreted only after each clean handoff; width one needs one extra + // traversal lane because it has no walk-chain lanes to host active/tmp. + let constant = &scratch[4..4 + length_width + 1]; + let walk = &constant[1..length_width]; + let (active, tmp) = match length_width { + 1 => (&constant[1], &scratch[7]), + 2 => (&walk[0], &constant[2]), + _ => (&walk[0], &walk[1]), + }; + let view = RemainderScratch { + nonzero: &scratch[0], + operation: &scratch[1], + enable: &scratch[2], + phase_sign: &scratch[3], + length_overflow: &scratch[3], + carry: &constant[0], + length_carry: &constant[0], + walk, + active, + tmp, + constant, + nonzero_chain: &scratch[2..2 + remainder_length_width.saturating_sub(2)], + }; + assert_phase_overlaid_remainder_scratch_layout( + scratch, + &view, + length_width, + remainder_length_width, + ); + view +} + +fn split_remainder_scratch_for_layout<'a>( + scratch: &'a [QReg], + length_width: usize, + remainder_length_width: usize, + layout: RemainderScratchLayout, +) -> RemainderScratch<'a> { + match layout { + RemainderScratchLayout::Baseline => { + split_baseline_remainder_scratch(scratch, length_width, remainder_length_width) + } + RemainderScratchLayout::PhaseOverlaid => { + split_phase_overlaid_remainder_scratch(scratch, length_width, remainder_length_width) + } + } +} + +enum ScheduledRemainderScratch { + Owned(Vec), + Hosted { + owned: Vec, + logical: Vec, + host_id: u32, + }, + HostedPair { + owned: Vec, + logical: Vec, + host_ids: [u32; 2], + }, +} + +impl ScheduledRemainderScratch { + fn lanes(&self) -> &[QReg] { + match self { + Self::Owned(owned) => owned, + Self::Hosted { logical, .. } | Self::HostedPair { logical, .. } => logical, + } + } + + fn release(self, circ: &mut Circuit) { + match self { + Self::Owned(owned) => free_clean(circ, owned), + Self::Hosted { + owned, + logical, + host_id, + } => { + assert_eq!(logical.last().map(QReg::id), Some(host_id)); + assert_eq!(logical.len(), owned.len() + 1); + assert!(owned + .iter() + .zip(&logical) + .all(|(left, right)| { left.id() == right.id() && left.id() != host_id })); + drop(logical); + free_clean(circ, owned); + } + Self::HostedPair { + owned, + logical, + host_ids, + } => { + assert_eq!(logical.len(), owned.len() + host_ids.len()); + assert_eq!( + logical[owned.len()..].iter().map(QReg::id).collect::>(), + host_ids + ); + assert!(owned.iter().zip(&logical).all(|(left, right)| { + left.id() == right.id() && !host_ids.contains(&left.id()) + })); + drop(logical); + free_clean(circ, owned); + } + } + } +} + +fn allocate_scheduled_remainder_scratch_with_host( + circ: &mut Circuit, + name: &str, + length_width: usize, + remainder_length_width: usize, + t_prime_host: Option<&QReg>, + l_q_high_host: Option<&QReg>, +) -> ScheduledRemainderScratch { + let logical_width = remainder_scratch_width(length_width, remainder_length_width); + let Some(t_prime_host) = t_prime_host else { + assert!( + l_q_high_host.is_none(), + "Q824 l_q high host requires the Q826 t-prime host" + ); + return ScheduledRemainderScratch::Owned(circ.alloc_qreg_bits(name, logical_width)); + }; + + assert_eq!(length_width, REFERENCE_LENGTH_WIDTH); + assert_eq!(remainder_length_width, REFERENCE_R_LENGTH_WIDTH); + assert_eq!(logical_width, 14); + + if let Some(l_q_high_host) = l_q_high_host { + assert_ne!(l_q_high_host.id(), t_prime_host.id()); + let owned = circ.alloc_qreg_bits(name, logical_width - 2); + assert_eq!(owned.len(), 12); + assert!(owned + .iter() + .all(|lane| lane.id() != l_q_high_host.id() && lane.id() != t_prime_host.id())); + let mut logical = owned.iter().map(QReg::borrowed_alias).collect::>(); + logical.push(l_q_high_host.borrowed_alias()); + logical.push(t_prime_host.borrowed_alias()); + assert_unique_qreg_ids( + "Q824 hosted remainder scratch", + &logical.iter().collect::>(), + ); + let view = + split_phase_overlaid_remainder_scratch(&logical, length_width, remainder_length_width); + assert_eq!( + view.constant.get(8).map(QReg::id), + Some(l_q_high_host.id()), + "Q824 l_q high host must be the penultimate constant/walk lane" + ); + assert_eq!( + view.constant.last().map(QReg::id), + Some(t_prime_host.id()), + "Q826 t-prime host must remain the final constant workspace lane" + ); + return ScheduledRemainderScratch::HostedPair { + owned, + logical, + host_ids: [l_q_high_host.id(), t_prime_host.id()], + }; + } + + let owned = circ.alloc_qreg_bits(name, logical_width - 1); + assert_eq!(owned.len(), 13); + assert!(owned.iter().all(|lane| lane.id() != t_prime_host.id())); + let mut logical = owned.iter().map(QReg::borrowed_alias).collect::>(); + logical.push(t_prime_host.borrowed_alias()); + assert_unique_qreg_ids( + "Q826 hosted remainder scratch", + &logical.iter().collect::>(), + ); + let view = + split_phase_overlaid_remainder_scratch(&logical, length_width, remainder_length_width); + assert_eq!( + view.constant.last().map(QReg::id), + Some(t_prime_host.id()), + "Q826 t-prime host must be the missing constant workspace lane" + ); + + ScheduledRemainderScratch::Hosted { + owned, + logical, + host_id: t_prime_host.id(), + } +} + +fn allocate_scheduled_remainder_scratch( + circ: &mut Circuit, + name: &str, + length_width: usize, + remainder_length_width: usize, + l_t_prime: &[QReg], + l_q: &[QReg], +) -> ScheduledRemainderScratch { + let host = q826_remainder_t_prime_host_requested().then(|| { + assert_eq!(l_t_prime.len(), 1); + &l_t_prime[0] + }); + let l_q_high_host = q824_remainder_lq_high_host_requested().then(|| { + assert!( + l_q.len() > 5, + "Q824 remainder host requires the clean l_q[5] support lane" + ); + &l_q[5] + }); + allocate_scheduled_remainder_scratch_with_host( + circ, + name, + length_width, + remainder_length_width, + host, + l_q_high_host, + ) +} + +fn compute_nonzero(circ: &mut Circuit, register: &[QReg], nonzero: &QReg, chain: &[QReg]) { + assert!(!register.is_empty()); + for bit in register { + circ.x(bit); + } + let controls: Vec<&QReg> = register.iter().collect(); + multi_controlled_x_vchain(circ, &controls, nonzero, chain); + for bit in register { + circ.x(bit); + } + circ.x(nonzero); +} + +fn uncompute_nonzero(circ: &mut Circuit, register: &[QReg], nonzero: &QReg, chain: &[QReg]) { + circ.x(nonzero); + for bit in register { + circ.x(bit); + } + let controls: Vec<&QReg> = register.iter().collect(); + multi_controlled_x_vchain(circ, &controls, nonzero, chain); + for bit in register { + circ.x(bit); + } +} + +fn compute_zero(circ: &mut Circuit, register: &[QReg], zero: &QReg, chain: &[QReg]) { + assert!(!register.is_empty()); + for bit in register { + circ.x(bit); + } + let controls: Vec<&QReg> = register.iter().collect(); + multi_controlled_x_vchain(circ, &controls, zero, chain); + for bit in register { + circ.x(bit); + } +} + +fn uncompute_zero(circ: &mut Circuit, register: &[QReg], zero: &QReg, chain: &[QReg]) { + compute_zero(circ, register, zero, chain); +} + +fn normalized_phase_scratch_width(length_width: usize) -> usize { + 5 + length_width.saturating_sub(2) +} + +#[allow(clippy::too_many_arguments)] +pub fn normalized_phase_update( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + l_q: &[QReg], + l_r_prime: &[QReg], + l_s: &[QReg], + scratch: &[QReg], +) { + assert_eq!( + l_q.len() + 1 + hosted_l_q_high_bits(l_s.len(), l_q.len()), + l_s.len() + ); + assert_l_r_prime_metadata_width(l_s.len(), l_r_prime.len()); + assert!(scratch.len() >= normalized_phase_scratch_width(l_s.len())); + let zero_q = &scratch[0]; + let nonzero_r = &scratch[1]; + let zero_s = &scratch[2]; + let condition = &scratch[3]; + let temporary = &scratch[4]; + let chain = &scratch[5..]; + + compute_zero(circ, l_q, zero_q, chain); + compute_nonzero(circ, l_r_prime, nonzero_r, chain); + compute_zero(circ, l_s, zero_s, chain); + circ.ccx(zero_q, nonzero_r, condition); + + circ.cx(sign, temporary); + circ.cx(phase1, temporary); + circ.ccx(condition, temporary, phase2); + circ.cx(phase1, temporary); + circ.cx(sign, temporary); + circ.ccx(condition, phase2, sign); + circ.cx(zero_s, phase1); + circ.cx(zero_s, phase2); + + circ.ccx(zero_q, nonzero_r, condition); + uncompute_zero(circ, l_s, zero_s, chain); + uncompute_nonzero(circ, l_r_prime, nonzero_r, chain); + uncompute_zero(circ, l_q, zero_q, chain); +} + +#[allow(clippy::too_many_arguments)] +pub fn normalized_phase_update_inverse( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + l_q: &[QReg], + l_r_prime: &[QReg], + l_s: &[QReg], + scratch: &[QReg], +) { + assert_eq!( + l_q.len() + 1 + hosted_l_q_high_bits(l_s.len(), l_q.len()), + l_s.len() + ); + assert_l_r_prime_metadata_width(l_s.len(), l_r_prime.len()); + assert!(scratch.len() >= normalized_phase_scratch_width(l_s.len())); + let zero_q = &scratch[0]; + let nonzero_r = &scratch[1]; + let zero_s = &scratch[2]; + let condition = &scratch[3]; + let temporary = &scratch[4]; + let chain = &scratch[5..]; + + compute_zero(circ, l_q, zero_q, chain); + compute_nonzero(circ, l_r_prime, nonzero_r, chain); + compute_zero(circ, l_s, zero_s, chain); + circ.ccx(zero_q, nonzero_r, condition); + + circ.cx(zero_s, phase2); + circ.cx(zero_s, phase1); + circ.ccx(condition, phase2, sign); + circ.cx(sign, temporary); + circ.cx(phase1, temporary); + circ.ccx(condition, temporary, phase2); + circ.cx(phase1, temporary); + circ.cx(sign, temporary); + + circ.ccx(zero_q, nonzero_r, condition); + uncompute_zero(circ, l_s, zero_s, chain); + uncompute_nonzero(circ, l_r_prime, nonzero_r, chain); + uncompute_zero(circ, l_q, zero_q, chain); +} + +fn toggle_or_latch(circ: &mut Circuit, latch: &QReg, condition: &QReg, temporary: &QReg) { + circ.x(latch); + circ.ccx(condition, latch, temporary); + circ.x(latch); + circ.cx(temporary, latch); + circ.x(latch); + circ.ccx(condition, latch, temporary); + circ.x(latch); +} + +fn controlled_add_no_overflow( + circ: &mut Circuit, + control: &QReg, + source: &[QReg], + target: &[QReg], + carry: &QReg, + temporary: &QReg, +) { + assert_eq!(source.len(), target.len()); + assert!(!source.is_empty()); + let controlled_cx = |circ: &mut Circuit, source: &QReg, target: &QReg| { + circ.ccx(control, source, target); + }; + let controlled_ccx = |circ: &mut Circuit, left: &QReg, right: &QReg, target: &QReg| { + multi_controlled_x_vchain( + circ, + &[control, left, right], + target, + std::slice::from_ref(temporary), + ); + }; + + controlled_cx(circ, carry, &target[0]); + controlled_cx(circ, carry, &source[0]); + controlled_ccx(circ, &source[0], &target[0], carry); + for index in 1..source.len() { + controlled_cx(circ, &source[index - 1], &target[index]); + controlled_cx(circ, &source[index - 1], &source[index]); + controlled_ccx(circ, &source[index], &target[index], &source[index - 1]); + } + for index in (1..source.len()).rev() { + controlled_ccx(circ, &source[index], &target[index], &source[index - 1]); + controlled_cx(circ, &source[index - 1], &source[index]); + controlled_cx(circ, &source[index], &target[index]); + } + controlled_ccx(circ, &source[0], &target[0], carry); + controlled_cx(circ, carry, &source[0]); + controlled_cx(circ, &source[0], &target[0]); +} + +fn controlled_add_no_overflow_inverse( + circ: &mut Circuit, + control: &QReg, + source: &[QReg], + target: &[QReg], + carry: &QReg, + temporary: &QReg, +) { + assert_eq!(source.len(), target.len()); + assert!(!source.is_empty()); + let controlled_cx = |circ: &mut Circuit, source: &QReg, target: &QReg| { + circ.ccx(control, source, target); + }; + let controlled_ccx = |circ: &mut Circuit, left: &QReg, right: &QReg, target: &QReg| { + multi_controlled_x_vchain( + circ, + &[control, left, right], + target, + std::slice::from_ref(temporary), + ); + }; + + controlled_cx(circ, &source[0], &target[0]); + controlled_cx(circ, carry, &source[0]); + controlled_ccx(circ, &source[0], &target[0], carry); + for index in 1..source.len() { + controlled_cx(circ, &source[index], &target[index]); + controlled_cx(circ, &source[index - 1], &source[index]); + controlled_ccx(circ, &source[index], &target[index], &source[index - 1]); + } + for index in (1..source.len()).rev() { + controlled_ccx(circ, &source[index], &target[index], &source[index - 1]); + controlled_cx(circ, &source[index - 1], &source[index]); + controlled_cx(circ, &source[index - 1], &target[index]); + } + controlled_ccx(circ, &source[0], &target[0], carry); + controlled_cx(circ, carry, &source[0]); + controlled_cx(circ, carry, &target[0]); +} + +fn length_scan_scratch_width(length_width: usize) -> usize { + 4 + (length_width + 2) + length_width.saturating_sub(1) +} + +#[allow(clippy::too_many_arguments)] +fn length_scan_compute( + circ: &mut Circuit, + total_work_width: usize, + window_lower: usize, + window_upper: usize, + work1: &[QReg], + work2: &[QReg], + l_s: &[QReg], + l_q: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), total_work_width); + assert_eq!(work2.len(), total_work_width); + assert!(1 <= window_lower && window_lower <= window_upper); + assert!(window_upper <= total_work_width); + assert_eq!(l_s.len(), l_q.len()); + assert_eq!(l_s.len(), l_r_prime.len()); + assert!(scratch.len() >= length_scan_scratch_width(l_s.len())); + let latch_u = &scratch[0]; + let latch_v = &scratch[1]; + let condition = &scratch[2]; + let temporary = &scratch[3]; + let constant = &scratch[4..4 + l_s.len() + 2]; + let pool = &scratch[4 + l_s.len() + 2..]; + let sign_s = l_s.last().expect("nonempty l_s"); + let sign_q = l_q.last().expect("nonempty l_q"); + let sign_r = l_r_prime.last().expect("nonempty l_r_prime"); + + sub_const_mod_2n( + circ, + l_r_prime, + total_work_width + 1 - window_upper, + constant, + ); + for position in (window_lower..=window_upper).rev() { + let index = position - 1; + multi_controlled_x_vchain(circ, &[&work1[index], sign_s, sign_r], condition, pool); + toggle_or_latch(circ, latch_u, condition, temporary); + multi_controlled_x_vchain(circ, &[&work1[index], sign_s, sign_r], condition, pool); + controlled_increment_mod_2n(circ, latch_u, l_s, pool); + + multi_controlled_x_vchain(circ, &[&work2[index], sign_q, sign_r], condition, pool); + toggle_or_latch(circ, latch_v, condition, temporary); + multi_controlled_x_vchain(circ, &[&work2[index], sign_q, sign_r], condition, pool); + controlled_increment_mod_2n(circ, latch_v, l_q, pool); + controlled_decrement_mod_2n(circ, sign_r, l_r_prime, pool); + } + let carry = &constant[l_s.len()]; + let overflow = &constant[l_s.len() + 1]; + cuccaro_sub_mod_2n(circ, l_q, l_s, carry, overflow); +} + +#[allow(clippy::too_many_arguments)] +fn length_scan_uncompute( + circ: &mut Circuit, + total_work_width: usize, + window_lower: usize, + window_upper: usize, + work1: &[QReg], + work2: &[QReg], + l_s: &[QReg], + l_q: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], +) { + assert!(scratch.len() >= length_scan_scratch_width(l_s.len())); + let latch_u = &scratch[0]; + let latch_v = &scratch[1]; + let condition = &scratch[2]; + let temporary = &scratch[3]; + let constant = &scratch[4..4 + l_s.len() + 2]; + let pool = &scratch[4 + l_s.len() + 2..]; + let sign_s = l_s.last().expect("nonempty l_s"); + let sign_q = l_q.last().expect("nonempty l_q"); + let sign_r = l_r_prime.last().expect("nonempty l_r_prime"); + let carry = &constant[l_s.len()]; + let overflow = &constant[l_s.len() + 1]; + + cuccaro_add_mod_2n(circ, l_q, l_s, carry, overflow); + for position in window_lower..=window_upper { + let index = position - 1; + controlled_increment_mod_2n(circ, sign_r, l_r_prime, pool); + + controlled_decrement_mod_2n(circ, latch_v, l_q, pool); + multi_controlled_x_vchain(circ, &[&work2[index], sign_q, sign_r], condition, pool); + toggle_or_latch(circ, latch_v, condition, temporary); + multi_controlled_x_vchain(circ, &[&work2[index], sign_q, sign_r], condition, pool); + + controlled_decrement_mod_2n(circ, latch_u, l_s, pool); + multi_controlled_x_vchain(circ, &[&work1[index], sign_s, sign_r], condition, pool); + toggle_or_latch(circ, latch_u, condition, temporary); + multi_controlled_x_vchain(circ, &[&work1[index], sign_s, sign_r], condition, pool); + } + add_const_mod_2n( + circ, + l_r_prime, + total_work_width + 1 - window_upper, + constant, + ); +} + +fn length_update_scratch_width(length_width: usize) -> usize { + length_scan_scratch_width(length_width) + 2 +} + +#[allow(clippy::too_many_arguments)] +pub fn conditional_length_update( + circ: &mut Circuit, + total_work_width: usize, + window_lower: usize, + window_upper: usize, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_s: &[QReg], + l_q: &[QReg], + l_r_prime: &[QReg], + target: &[QReg], + scratch: &[QReg], +) { + let scan_width = length_scan_scratch_width(l_s.len()); + assert!(scratch.len() >= scan_width + 2); + let scan = &scratch[..scan_width]; + let carry = &scratch[scan_width]; + let temporary = &scratch[scan_width + 1]; + length_scan_compute( + circ, + total_work_width, + window_lower, + window_upper, + work1, + work2, + l_s, + l_q, + l_r_prime, + scan, + ); + controlled_add_no_overflow(circ, control, l_s, target, carry, temporary); + length_scan_uncompute( + circ, + total_work_width, + window_lower, + window_upper, + work1, + work2, + l_s, + l_q, + l_r_prime, + scan, + ); +} + +#[allow(clippy::too_many_arguments)] +pub fn conditional_length_update_inverse( + circ: &mut Circuit, + total_work_width: usize, + window_lower: usize, + window_upper: usize, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_s: &[QReg], + l_q: &[QReg], + l_r_prime: &[QReg], + target: &[QReg], + scratch: &[QReg], +) { + let scan_width = length_scan_scratch_width(l_s.len()); + assert!(scratch.len() >= scan_width + 2); + let scan = &scratch[..scan_width]; + let carry = &scratch[scan_width]; + let temporary = &scratch[scan_width + 1]; + length_scan_compute( + circ, + total_work_width, + window_lower, + window_upper, + work1, + work2, + l_s, + l_q, + l_r_prime, + scan, + ); + controlled_add_no_overflow_inverse(circ, control, l_s, target, carry, temporary); + length_scan_uncompute( + circ, + total_work_width, + window_lower, + window_upper, + work1, + work2, + l_s, + l_q, + l_r_prime, + scan, + ); +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct DynamicBitLengthZeroAllocationTrace { + flag_allocations: usize, + carry_allocations: usize, + prefix_allocations: usize, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct FusedPrefixScratchLoanAllocationTrace { + pub calls: usize, + pub owned_lanes: usize, + pub borrowed_lanes: usize, + pub maximum_owned_lanes: usize, + pub maximum_borrowed_lanes: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct PreservedDyTopBorrowWindow { + entry_ops_idx: usize, + restore_ops_idx: usize, + lender_id: u32, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct Q839SupportLenderBorrowWindow { + entry_ops_idx: usize, + restore_ops_idx: usize, + lender_id: u32, +} + +thread_local! { + static DYNAMIC_BIT_LENGTH_ZERO_ALLOCATION_TRACE: std::cell::Cell<( + bool, + DynamicBitLengthZeroAllocationTrace, + )> = std::cell::Cell::new((false, DynamicBitLengthZeroAllocationTrace { + flag_allocations: 0, + carry_allocations: 0, + prefix_allocations: 0, + })); + static FUSED_PREFIX_SCRATCH_LOAN_ALLOCATION_TRACE: std::cell::Cell<( + bool, + FusedPrefixScratchLoanAllocationTrace, + )> = std::cell::Cell::new((false, FusedPrefixScratchLoanAllocationTrace { + calls: 0, + owned_lanes: 0, + borrowed_lanes: 0, + maximum_owned_lanes: 0, + maximum_borrowed_lanes: 0, + })); + static PRESERVED_DY_TOP_BORROW_WINDOWS: std::cell::RefCell<( + bool, + Vec, + )> = std::cell::RefCell::new((false, Vec::new())); + static Q839_SUPPORT_LENDER_BORROW_WINDOWS: std::cell::RefCell<( + bool, + Vec, + )> = std::cell::RefCell::new((false, Vec::new())); +} + +fn begin_dynamic_bit_length_zero_allocation_trace() { + DYNAMIC_BIT_LENGTH_ZERO_ALLOCATION_TRACE.with(|trace| { + trace.set((true, DynamicBitLengthZeroAllocationTrace::default())); + }); +} + +fn finish_dynamic_bit_length_zero_allocation_trace() -> DynamicBitLengthZeroAllocationTrace { + DYNAMIC_BIT_LENGTH_ZERO_ALLOCATION_TRACE.with(|trace| { + let (_, snapshot) = trace.get(); + trace.set((false, snapshot)); + snapshot + }) +} + +fn trace_dynamic_bit_length_zero_allocations( + flag_allocations: usize, + carry_allocations: usize, + prefix_allocations: usize, +) { + DYNAMIC_BIT_LENGTH_ZERO_ALLOCATION_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + snapshot.flag_allocations += flag_allocations; + snapshot.carry_allocations += carry_allocations; + snapshot.prefix_allocations += prefix_allocations; + trace.set((enabled, snapshot)); + } + }); +} + +fn begin_fused_prefix_scratch_loan_allocation_trace() { + FUSED_PREFIX_SCRATCH_LOAN_ALLOCATION_TRACE.with(|trace| { + trace.set((true, FusedPrefixScratchLoanAllocationTrace::default())); + }); +} + +fn finish_fused_prefix_scratch_loan_allocation_trace() -> FusedPrefixScratchLoanAllocationTrace { + FUSED_PREFIX_SCRATCH_LOAN_ALLOCATION_TRACE.with(|trace| { + let (_, snapshot) = trace.get(); + trace.set((false, snapshot)); + snapshot + }) +} + +fn trace_fused_prefix_scratch_loan_allocation(owned_lanes: usize, borrowed_lanes: usize) { + FUSED_PREFIX_SCRATCH_LOAN_ALLOCATION_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + snapshot.calls += 1; + snapshot.owned_lanes += owned_lanes; + snapshot.borrowed_lanes += borrowed_lanes; + snapshot.maximum_owned_lanes = snapshot.maximum_owned_lanes.max(owned_lanes); + snapshot.maximum_borrowed_lanes = snapshot.maximum_borrowed_lanes.max(borrowed_lanes); + trace.set((enabled, snapshot)); + } + }); +} + +fn begin_preserved_dy_top_borrow_trace() { + PRESERVED_DY_TOP_BORROW_WINDOWS.with(|trace| { + *trace.borrow_mut() = (true, Vec::new()); + }); +} + +fn finish_preserved_dy_top_borrow_trace() -> Vec { + PRESERVED_DY_TOP_BORROW_WINDOWS.with(|trace| { + let mut trace = trace.borrow_mut(); + trace.0 = false; + std::mem::take(&mut trace.1) + }) +} + +fn record_preserved_dy_top_borrow_window( + lender: &QReg, + entry_ops_idx: usize, + restore_ops_idx: usize, +) { + PRESERVED_DY_TOP_BORROW_WINDOWS.with(|trace| { + let mut trace = trace.borrow_mut(); + if trace.0 { + assert!(restore_ops_idx > entry_ops_idx); + trace.1.push(PreservedDyTopBorrowWindow { + entry_ops_idx, + restore_ops_idx, + lender_id: lender.id(), + }); + } + }); +} + +fn begin_q839_support_lender_borrow_trace() { + Q839_SUPPORT_LENDER_BORROW_WINDOWS.with(|trace| { + *trace.borrow_mut() = (true, Vec::new()); + }); +} + +fn finish_q839_support_lender_borrow_trace() -> Vec { + Q839_SUPPORT_LENDER_BORROW_WINDOWS.with(|trace| { + let mut trace = trace.borrow_mut(); + trace.0 = false; + std::mem::take(&mut trace.1) + }) +} + +fn record_q839_support_lender_borrow_window( + lender: &QReg, + entry_ops_idx: usize, + restore_ops_idx: usize, +) { + Q839_SUPPORT_LENDER_BORROW_WINDOWS.with(|trace| { + let mut trace = trace.borrow_mut(); + if trace.0 { + assert!(restore_ops_idx > entry_ops_idx); + trace.1.push(Q839SupportLenderBorrowWindow { + entry_ops_idx, + restore_ops_idx, + lender_id: lender.id(), + }); + } + }); +} + +fn toggle_static_zero_flag( + circ: &mut Circuit, + source: &[&QReg], + flag: &QReg, + prefix_scratch: Option<&[&QReg]>, +) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_KG_SCRATCH_LEN; + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, KgPrefixAnd, + }; + + if let Some(scratch) = prefix_scratch { + assert_eq!( + scratch.len(), + DIRECT_PREFIX_KG_SCRATCH_LEN, + "zero-flag prefix scratch requires exactly {DIRECT_PREFIX_KG_SCRATCH_LEN} lanes" + ); + assert!( + kg_prefix_ancilla_count(source.len()) <= scratch.len(), + "zero-flag source width {} exceeds the five-lane KG scratch budget", + source.len() + ); + for (index, lane) in scratch.iter().enumerate() { + assert!( + scratch[..index].iter().all(|other| other.id() != lane.id()), + "zero-flag prefix scratch lane {index} aliases an earlier scratch lane" + ); + assert!( + source.iter().all(|source| source.id() != lane.id()), + "zero-flag prefix scratch lane {index} aliases the source" + ); + assert_ne!( + lane.id(), + flag.id(), + "zero-flag prefix scratch lane {index} aliases the output flag" + ); + } + } + + if source.is_empty() { + circ.x(flag); + return; + } + let prefix_allocation_serial = prefix_scratch.map(|_| circ.b.allocation_serial); + for bit in source { + circ.x(bit); + } + let ancillae = if prefix_scratch.is_some() { + Vec::new() + } else { + trace_dynamic_bit_length_zero_allocations(0, 0, kg_prefix_ancilla_count(source.len())); + circ.alloc_qreg_bits( + "rs.dynamic-bitlen.zero-prefix", + kg_prefix_ancilla_count(source.len()), + ) + }; + let ancilla_refs: Vec<&QReg> = + prefix_scratch.map_or_else(|| ancillae.iter().collect(), |scratch| scratch.to_vec()); + let width = source.len(); + let done = KgPrefixAnd::new(source, &ancilla_refs).forward(circ, |circ, index, controls| { + if index != width { + return; + } + match controls { + [] => circ.x(flag), + [control] => circ.cx(control, flag), + [left, right] => circ.ccx(left, right, flag), + _ => unreachable!("KG prefix controls have width at most two"), + } + }); + done.reverse(circ, |_, _, _| {}); + for lane in ancillae { + circ.zero_and_free(lane); + } + for bit in source { + circ.x(bit); + } + if let Some(allocation_serial) = prefix_allocation_serial { + assert_eq!( + circ.b.allocation_serial, allocation_serial, + "caller-supplied zero-flag prefix traversal allocated an internal qubit" + ); + } +} + +fn full_zero_carry_prefix_scratch_requested() -> bool { + std::env::var("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH") + .ok() + .as_deref() + == Some("1") +} + +fn assert_full_zero_carry_scratch( + source: &[&QReg], + output: &[QReg], + zero: &QReg, + carries: &[&QReg], +) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_FULL_SCRATCH_LEN; + + assert_eq!( + carries.len(), + DIRECT_PREFIX_FULL_SCRATCH_LEN, + "full zero-carry prefix reuse requires exactly {DIRECT_PREFIX_FULL_SCRATCH_LEN} lanes" + ); + for (index, lane) in carries.iter().enumerate() { + assert!( + carries[..index].iter().all(|other| other.id() != lane.id()), + "zero-carry scratch lane {index} aliases an earlier scratch lane" + ); + assert!( + source.iter().all(|source| source.id() != lane.id()), + "zero-carry scratch lane {index} aliases the source" + ); + assert!( + output.iter().all(|output| output.id() != lane.id()), + "zero-carry scratch lane {index} aliases the output" + ); + assert_ne!( + lane.id(), + zero.id(), + "zero-carry scratch lane {index} aliases the zero flag" + ); + } +} + +fn bit_length_lean_allow_zero_legacy_with_borrowed_carry( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, +) { + use super::shrunken_pz_state_machine::{ + bit_length_lean, bit_length_lean_with_full_prefix_scratch, + bit_length_lean_with_increment_scratch, dirty_controlled_inc_suffix, + DIRECT_PREFIX_FULL_SCRATCH_LEN, DIRECT_PREFIX_KG_SCRATCH_LEN, + }; + + if source.is_empty() { + return; + } + if let Some(borrowed_carry) = borrowed_carry { + assert!( + source + .iter() + .all(|source_bit| source_bit.id() != borrowed_carry.id()), + "borrowed zero-correction carry aliases the source" + ); + assert!( + output + .iter() + .all(|output_bit| output_bit.id() != borrowed_carry.id()), + "borrowed zero-correction carry aliases the output" + ); + } + trace_dynamic_bit_length_zero_allocations(1, 0, 0); + let zero = circ.alloc_qreg("rs.dynamic-bitlen.zero"); + let dirty_correction = std::env::var("LOWQ_RS_DIRTY_ZERO_CORRECTION") + .ok() + .as_deref() + == Some("1") + && source.len() >= output.len().saturating_sub(2); + let reuse_carries = !dirty_correction + && std::env::var("LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX") + .ok() + .as_deref() + == Some("1"); + let full_prefix_scratch = full_zero_carry_prefix_scratch_requested(); + if full_prefix_scratch { + assert!( + reuse_carries, + "full zero-carry prefix scratch requires LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX=1" + ); + assert_eq!( + std::env::var("LOWQ_DIRECT_PREFIX_BITLEN").ok().as_deref(), + Some("1"), + "full zero-carry prefix scratch requires the direct-prefix route" + ); + assert_ne!( + std::env::var("LOWQ_DIRECT_PREFIX_DIRTY_UPDATE") + .ok() + .as_deref(), + Some("1"), + "full zero-carry prefix scratch forbids dirty prefix updates" + ); + assert_ne!( + std::env::var("LOWQ_DIRECT_PREFIX_NO_FLAG").ok().as_deref(), + Some("1"), + "full zero-carry prefix scratch requires a materialized flag" + ); + assert_ne!( + std::env::var("LOWQ_RS_DIRTY_ZERO_CORRECTION") + .ok() + .as_deref(), + Some("1"), + "full zero-carry prefix scratch forbids dirty zero correction" + ); + assert!( + output.len().saturating_sub(1) <= DIRECT_PREFIX_FULL_SCRATCH_LEN, + "full zero-carry prefix scratch supports outputs of at most ten bits" + ); + } + let carries = if dirty_correction { + Vec::new() + } else { + let carry_count = if full_prefix_scratch { + DIRECT_PREFIX_FULL_SCRATCH_LEN + } else { + output.len().saturating_sub(1) + }; + let borrowed_count = usize::from(borrowed_carry.is_some() && carry_count != 0); + let owned_count = carry_count - borrowed_count; + trace_dynamic_bit_length_zero_allocations(0, owned_count, 0); + circ.alloc_qreg_bits("rs.dynamic-bitlen.zero-carries", owned_count) + }; + let output_refs: Vec<&QReg> = output.iter().collect(); + let mut carry_refs: Vec<&QReg> = carries.iter().collect(); + // Keep caller-owned storage at the tail. The zero correction consumes it + // before the bit-length update, which may then reuse the same clean lane. + if !dirty_correction && (full_prefix_scratch || output.len() > 1) { + if let Some(borrowed_carry) = borrowed_carry { + carry_refs.push(borrowed_carry); + } + } + if full_prefix_scratch { + assert_full_zero_carry_scratch(source, output, &zero, &carry_refs); + } + let zero_prefix_scratch = + full_prefix_scratch.then(|| &carry_refs[..DIRECT_PREFIX_KG_SCRATCH_LEN]); + toggle_static_zero_flag(circ, source, &zero, zero_prefix_scratch); + if decrement { + if dirty_correction { + dirty_controlled_inc_suffix(circ, &[&zero], &output_refs, 0, false, source); + } else { + controlled_increment_mod_2n_carry_refs(circ, &zero, output, &carry_refs); + } + if full_prefix_scratch { + bit_length_lean_with_full_prefix_scratch(circ, source, output, true, &carry_refs); + } else if reuse_carries { + bit_length_lean_with_increment_scratch(circ, source, output, true, &carry_refs); + } else { + bit_length_lean(circ, source, output, true); + } + } else { + if full_prefix_scratch { + bit_length_lean_with_full_prefix_scratch(circ, source, output, false, &carry_refs); + } else if reuse_carries { + bit_length_lean_with_increment_scratch(circ, source, output, false, &carry_refs); + } else { + bit_length_lean(circ, source, output, false); + } + if dirty_correction { + dirty_controlled_inc_suffix(circ, &[&zero], &output_refs, 0, true, source); + } else { + controlled_decrement_mod_2n_carry_refs(circ, &zero, output, &carry_refs); + } + } + toggle_static_zero_flag(circ, source, &zero, zero_prefix_scratch); + for lane in carries { + circ.zero_and_free(lane); + } + circ.zero_and_free(zero); +} + +fn bit_length_lean_allow_zero_legacy( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, +) { + bit_length_lean_allow_zero_legacy_with_borrowed_carry(circ, source, output, decrement, None); +} + +fn fused_prefix_scratch_loan_requested() -> bool { + std::env::var(FUSED_PREFIX_SCRATCH_LOAN_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn preserved_dy_top_prefix_loan_requested() -> bool { + std::env::var(PRESERVED_DY_TOP_PREFIX_LOAN_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn mixed_width_l_r_prime_requested() -> bool { + std::env::var(MIXED_WIDTH_L_R_PRIME_FLAG).ok().as_deref() == Some("1") +} + +fn production_l_r_prime_width() -> usize { + if mixed_width_l_r_prime_requested() { + REFERENCE_R_LENGTH_WIDTH + } else { + REFERENCE_LENGTH_WIDTH + } +} + +fn q825_seven_bit_l_q_requested() -> bool { + if std::env::var(Q825_SEVEN_BIT_L_Q_FLAG).ok().as_deref() != Some("1") { + return false; + } + assert!( + q830_direct_swap_metadata_requested() && q830_coefficient_counter_relocation_requested(), + "Q825 seven-bit l_q requires direct metadata and counter relocation" + ); + assert!( + q828_ls_parity_requested() + && q826_remainder_t_prime_host_requested() + && q826_coefficient_l_s_host_requested() + && q826_rotated_swap_t_prime_host_requested(), + "Q825 seven-bit l_q is defined only over the complete Q826 host route" + ); + true +} + +fn production_l_q_width() -> usize { + if q825_seven_bit_l_q_requested() { + Q825_L_Q_WIDTH + } else { + SUB820_L_Q_WIDTH + } +} + +fn assert_l_r_prime_metadata_width(full_width: usize, r_width: usize) { + assert!(r_width == full_width || r_width + 1 == full_width); +} + +fn hosted_l_q_high_bits(full_width: usize, l_q_width: usize) -> usize { + if q825_seven_bit_l_q_requested() { + let hosted = full_width + .checked_sub(l_q_width + 1) + .expect("hosted l_q route requires a wider metadata word"); + assert!( + (1..=2).contains(&hosted), + "hosted l_q route supports one or two high bits" + ); + hosted + } else { + assert_eq!(l_q_width + 1, full_width); + 0 + } +} + +fn assert_fused_prefix_scratch_lenders(source: &[&QReg], output: &[QReg], lenders: &[&QReg]) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_FULL_SCRATCH_LEN; + + assert!( + lenders.len() <= DIRECT_PREFIX_FULL_SCRATCH_LEN, + "fused-prefix scratch loan provides {} lanes but the layout has only {DIRECT_PREFIX_FULL_SCRATCH_LEN}", + lenders.len() + ); + for (index, lane) in lenders.iter().enumerate() { + assert!( + lenders[..index].iter().all(|other| other.id() != lane.id()), + "fused-prefix scratch lender {index} aliases an earlier lender" + ); + assert!( + source.iter().all(|other| other.id() != lane.id()), + "fused-prefix scratch lender {index} aliases the source" + ); + assert!( + output.iter().all(|other| other.id() != lane.id()), + "fused-prefix scratch lender {index} aliases the output" + ); + } +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], + source_is_complemented: bool, + omitted_high_bits: usize, +) { + use super::shrunken_pz_state_machine::{ + bit_length_lean, bit_length_lean_complemented_source, + bit_length_lean_with_full_prefix_scratch, + bit_length_lean_with_full_prefix_scratch_complemented_source, + bit_length_lean_with_full_prefix_scratch_split_five_high, + bit_length_lean_with_full_prefix_scratch_split_four_high, + bit_length_lean_with_full_prefix_scratch_split_high, + bit_length_lean_with_full_prefix_scratch_split_three_high, + bit_length_lean_with_full_prefix_scratch_split_two_high, + bit_length_lean_with_compact7_prefix_scratch_split_five_high, + bit_length_lean_with_compact_prefix_scratch_split_five_high, + lowq_fused_zero_prefix_bitlen_requested, DIRECT_PREFIX_FULL_SCRATCH_LEN, + }; + + let prefix_loan = fused_prefix_scratch_loan_requested(); + if prefix_loan { + assert!( + lowq_fused_zero_prefix_bitlen_requested(), + "fused-prefix scratch loan requires LOWQ_FUSED_ZERO_PREFIX_BITLEN=1" + ); + assert!( + full_zero_carry_prefix_scratch_requested(), + "fused-prefix scratch loan requires LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH=1" + ); + assert_fused_prefix_scratch_lenders(source, output, borrowed_prefix_scratch); + } + if !lowq_fused_zero_prefix_bitlen_requested() { + assert!( + !source_is_complemented, + "pre-complemented source requires fused zero-prefix bit length" + ); + bit_length_lean_allow_zero_legacy_with_borrowed_carry( + circ, + source, + output, + decrement, + borrowed_carry, + ); + return; + } + if let Some(borrowed_carry) = borrowed_carry { + assert!( + source + .iter() + .all(|source_bit| source_bit.id() != borrowed_carry.id()), + "borrowed zero-correction carry aliases the source" + ); + assert!( + output + .iter() + .all(|output_bit| output_bit.id() != borrowed_carry.id()), + "borrowed zero-correction carry aliases the output" + ); + } + assert_eq!( + std::env::var("LOWQ_DIRECT_PREFIX_BITLEN").ok().as_deref(), + Some("1"), + "LOWQ_FUSED_ZERO_PREFIX_BITLEN requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + if source.is_empty() { + return; + } + assert!( + omitted_high_bits == 0 || full_zero_carry_prefix_scratch_requested(), + "split-high bit length requires full prefix scratch" + ); + if full_zero_carry_prefix_scratch_requested() { + assert_eq!( + std::env::var("LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX") + .ok() + .as_deref(), + Some("1"), + "fused full prefix scratch requires LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX=1" + ); + assert!( + output.len().saturating_sub(1) <= DIRECT_PREFIX_FULL_SCRATCH_LEN, + "fused full prefix scratch supports outputs of at most ten bits" + ); + let borrowed_lanes = if prefix_loan { + borrowed_prefix_scratch.len() + } else { + 0 + }; + if omitted_high_bits == 5 + && borrowed_lanes == DIRECT_PREFIX_FULL_SCRATCH_LEN - 2 + && output.len() == 4 + && q824_rotated_swap_lq_high_host_requested() + { + trace_fused_prefix_scratch_loan_allocation(0, borrowed_lanes); + bit_length_lean_with_compact7_prefix_scratch_split_five_high( + circ, + source, + output, + decrement, + borrowed_prefix_scratch, + source_is_complemented, + ); + return; + } + if omitted_high_bits == 5 + && borrowed_lanes == DIRECT_PREFIX_FULL_SCRATCH_LEN - 1 + && q825_seven_bit_l_q_requested() + { + trace_fused_prefix_scratch_loan_allocation(0, borrowed_lanes); + bit_length_lean_with_compact_prefix_scratch_split_five_high( + circ, + source, + output, + decrement, + borrowed_prefix_scratch, + source_is_complemented, + ); + return; + } + let owned_lanes = DIRECT_PREFIX_FULL_SCRATCH_LEN - borrowed_lanes; + trace_fused_prefix_scratch_loan_allocation(owned_lanes, borrowed_lanes); + let scratch = circ.alloc_qreg_bits("rs.dynamic-bitlen.fused-prefix-scratch", owned_lanes); + let scratch_refs: Vec<&QReg> = scratch + .iter() + .chain(borrowed_prefix_scratch.iter().copied().take(borrowed_lanes)) + .collect(); + assert_eq!(scratch_refs.len(), DIRECT_PREFIX_FULL_SCRATCH_LEN); + if omitted_high_bits == 1 { + bit_length_lean_with_full_prefix_scratch_split_high( + circ, + source, + output, + decrement, + &scratch_refs, + source_is_complemented, + ); + } else if omitted_high_bits == 2 { + bit_length_lean_with_full_prefix_scratch_split_two_high( + circ, + source, + output, + decrement, + &scratch_refs, + source_is_complemented, + ); + } else if omitted_high_bits == 3 { + bit_length_lean_with_full_prefix_scratch_split_three_high( + circ, + source, + output, + decrement, + &scratch_refs, + source_is_complemented, + ); + } else if omitted_high_bits == 4 { + bit_length_lean_with_full_prefix_scratch_split_four_high( + circ, + source, + output, + decrement, + &scratch_refs, + source_is_complemented, + ); + } else if omitted_high_bits == 5 { + bit_length_lean_with_full_prefix_scratch_split_five_high( + circ, + source, + output, + decrement, + &scratch_refs, + source_is_complemented, + ); + } else if source_is_complemented { + bit_length_lean_with_full_prefix_scratch_complemented_source( + circ, + source, + output, + decrement, + &scratch_refs, + ); + } else { + bit_length_lean_with_full_prefix_scratch( + circ, + source, + output, + decrement, + &scratch_refs, + ); + } + for lane in scratch { + circ.zero_and_free(lane); + } + } else if source_is_complemented { + bit_length_lean_complemented_source(circ, source, output, decrement); + } else { + bit_length_lean(circ, source, output, decrement); + } +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], +) { + bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ, + source, + output, + decrement, + borrowed_carry, + borrowed_prefix_scratch, + false, + 0, + ); +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch_complemented_source( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], +) { + bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ, + source, + output, + decrement, + borrowed_carry, + borrowed_prefix_scratch, + true, + 0, + ); +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch_split_high( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], + source_is_complemented: bool, +) { + bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ, + source, + output, + decrement, + borrowed_carry, + borrowed_prefix_scratch, + source_is_complemented, + 1, + ); +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch_split_two_high( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], + source_is_complemented: bool, +) { + bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ, + source, + output, + decrement, + borrowed_carry, + borrowed_prefix_scratch, + source_is_complemented, + 2, + ); +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch_split_three_high( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], + source_is_complemented: bool, +) { + bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ, + source, + output, + decrement, + borrowed_carry, + borrowed_prefix_scratch, + source_is_complemented, + 3, + ); +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch_split_four_high( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], + source_is_complemented: bool, +) { + bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ, + source, + output, + decrement, + borrowed_carry, + borrowed_prefix_scratch, + source_is_complemented, + 4, + ); +} + +fn bit_length_lean_allow_zero_with_borrowed_scratch_split_five_high( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, + borrowed_prefix_scratch: &[&QReg], + source_is_complemented: bool, +) { + bit_length_lean_allow_zero_with_borrowed_scratch_impl( + circ, + source, + output, + decrement, + borrowed_carry, + borrowed_prefix_scratch, + source_is_complemented, + 5, + ); +} + +fn bit_length_lean_allow_zero_with_borrowed_carry( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, + borrowed_carry: Option<&QReg>, +) { + bit_length_lean_allow_zero_with_borrowed_scratch( + circ, + source, + output, + decrement, + borrowed_carry, + &[], + ); +} + +fn bit_length_lean_allow_zero( + circ: &mut Circuit, + source: &[&QReg], + output: &[QReg], + decrement: bool, +) { + bit_length_lean_allow_zero_with_borrowed_carry(circ, source, output, decrement, None); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct DirtyZeroBitLengthProofReport { + pub cases_checked: usize, + pub directions_checked: usize, + pub maximum_extra_qubits: usize, + pub maximum_emitted_ops: usize, + pub maximum_emitted_toffoli: usize, +} + +/// Exhaustively verify the dirty zero-correction composition for every +/// eight-bit source (including zero), every five-bit accumulator, and both +/// update directions. The caller enables the direct-prefix route before entry. +fn zero_bit_length_roundtrip_check_mode( + dirty_correction: bool, + reuse_carries: bool, + full_prefix_scratch: bool, +) -> DirtyZeroBitLengthProofReport { + use crate::circuit::{OperationType, QubitId}; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!( + std::env::var("LOWQ_DIRECT_PREFIX_BITLEN").ok().as_deref(), + Some("1") + ); + assert_eq!( + std::env::var("LOWQ_DIRECT_PREFIX_DIRTY_UPDATE") + .ok() + .as_deref(), + dirty_correction.then_some("1") + ); + assert_eq!( + std::env::var("LOWQ_DIRECT_PREFIX_NO_FLAG").ok().as_deref(), + dirty_correction.then_some("1") + ); + assert_eq!( + std::env::var("LOWQ_RS_DIRTY_ZERO_CORRECTION") + .ok() + .as_deref(), + dirty_correction.then_some("1") + ); + assert_eq!( + std::env::var("LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX") + .ok() + .as_deref(), + reuse_carries.then_some("1") + ); + assert_eq!( + std::env::var("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH") + .ok() + .as_deref(), + full_prefix_scratch.then_some("1") + ); + + let mut cases_checked = 0usize; + let mut maximum_extra_qubits = 0usize; + let mut maximum_emitted_ops = 0usize; + let mut maximum_emitted_toffoli = 0usize; + for decrement in [false, true] { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("dirty-zero-proof.source", 8); + let output = circuit.alloc_qreg_bits("dirty-zero-proof.output", 5); + let source_refs: Vec<&QReg> = source.iter().collect(); + bit_length_lean_allow_zero(&mut circuit, &source_refs, &output, decrement); + + let source_ids: Vec = source.iter().map(QReg::id).collect(); + let output_ids: Vec = output.iter().map(QReg::id).collect(); + let external: Vec = source_ids + .iter() + .chain(output_ids.iter()) + .copied() + .collect(); + let builder = circuit.into_builder(); + maximum_extra_qubits = + maximum_extra_qubits.max(builder.peak_qubits as usize - external.len()); + maximum_emitted_ops = maximum_emitted_ops.max(builder.ops.len()); + maximum_emitted_toffoli = maximum_emitted_toffoli.max( + builder + .ops + .iter() + .filter(|op| matches!(op.kind, OperationType::CCX | OperationType::CCZ)) + .count(), + ); + + let cases: Vec<(u64, u64)> = (0u64..=255) + .flat_map(|source_value| { + (0u64..32).map(move |output_value| (source_value, output_value)) + }) + .collect(); + for (batch, chunk) in cases.chunks(64).enumerate() { + let mut seed = Shake128::default(); + seed.update(if decrement { + b"dirty-zero-bitlen-sub" + } else { + b"dirty-zero-bitlen-add" + }); + seed.update(&(batch as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + builder.next_qubit as usize, + builder.next_bit as usize, + &mut xof, + ); + for (shot, &(source_value, output_value)) in chunk.iter().enumerate() { + for (bit, &id) in source_ids.iter().enumerate() { + if (source_value >> bit) & 1 == 1 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + for (bit, &id) in output_ids.iter().enumerate() { + if (output_value >> bit) & 1 == 1 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(builder.ops.iter()); + let live = if chunk.len() == 64 { + u64::MAX + } else { + (1u64 << chunk.len()) - 1 + }; + assert_eq!(simulator.phase & live, 0, "phase failure in batch {batch}"); + + for (shot, &(source_value, output_value)) in chunk.iter().enumerate() { + let bit_length = if source_value == 0 { + 0 + } else { + 64 - source_value.leading_zeros() as u64 + }; + let expected = if decrement { + output_value.wrapping_sub(bit_length) & 31 + } else { + output_value.wrapping_add(bit_length) & 31 + }; + let read = |ids: &[u32]| { + ids.iter().enumerate().fold(0u64, |value, (bit, &id)| { + value | (((simulator.qubit(QubitId(u64::from(id))) >> shot) & 1) << bit) + }) + }; + assert_eq!(read(&source_ids), source_value); + assert_eq!(read(&output_ids), expected); + } + for id in 0..builder.next_qubit { + if !external.contains(&id) { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "ancilla q{id} dirty in batch {batch}" + ); + } + } + cases_checked += chunk.len(); + } + } + + DirtyZeroBitLengthProofReport { + cases_checked, + directions_checked: 2, + maximum_extra_qubits, + maximum_emitted_ops, + maximum_emitted_toffoli, + } +} + +#[doc(hidden)] +pub fn dirty_zero_bit_length_roundtrip_check() -> DirtyZeroBitLengthProofReport { + zero_bit_length_roundtrip_check_mode(true, false, false) +} + +#[doc(hidden)] +pub fn reused_zero_carry_bit_length_roundtrip_check() -> DirtyZeroBitLengthProofReport { + zero_bit_length_roundtrip_check_mode(false, true, false) +} + +#[doc(hidden)] +pub fn fully_reused_zero_carry_bit_length_roundtrip_check() -> DirtyZeroBitLengthProofReport { + zero_bit_length_roundtrip_check_mode(false, true, true) +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct FusedZeroPrefixLocalResources { + pub extra_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct FusedZeroPrefixBitLengthProofReport { + pub widths_checked: usize, + pub accumulator_width: usize, + pub accumulator_values_per_source: usize, + pub update_cases_checked: usize, + pub controlled_cases_checked: usize, + pub directions_checked: usize, + pub control_values_checked: usize, + pub baseline_equivalence_checks: usize, + pub default_stream_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub precondition_rejections: usize, + pub trace_sensitivity_flag_allocations: usize, + pub trace_sensitivity_carry_allocations: usize, + pub trace_sensitivity_prefix_allocations: usize, + pub fused_zero_flag_allocations: usize, + pub fused_zero_carry_allocations: usize, + pub fused_zero_prefix_allocations: usize, + pub maximum_baseline_extra_qubits: usize, + pub maximum_fused_extra_qubits: usize, + pub maximum_baseline_emitted_ops: usize, + pub maximum_fused_emitted_ops: usize, + pub maximum_baseline_emitted_toffoli: usize, + pub maximum_fused_emitted_toffoli: usize, + pub width_direction_toffoli_increase_cases: usize, + pub maximum_width_direction_toffoli_increase: usize, + pub local_width: usize, + pub local_accumulator_width: usize, + pub local_add_baseline: FusedZeroPrefixLocalResources, + pub local_add_fused: FusedZeroPrefixLocalResources, + pub local_sub_baseline: FusedZeroPrefixLocalResources, + pub local_sub_fused: FusedZeroPrefixLocalResources, + pub scheduled_steps: usize, + pub scheduled_baseline_inversion_peak_qubits: usize, + pub scheduled_fused_inversion_peak_qubits: usize, + pub scheduled_baseline_emitted_ops: usize, + pub scheduled_fused_emitted_ops: usize, + pub scheduled_baseline_emitted_toffoli: usize, + pub scheduled_fused_emitted_toffoli: usize, + pub scheduled_baseline_emitted_hmr: usize, + pub scheduled_fused_emitted_hmr: usize, + pub scheduled_baseline_emitted_resets: usize, + pub scheduled_fused_emitted_resets: usize, +} + +struct FusedZeroPrefixProofCircuit { + builder: B, + source_ids: Vec, + accumulator_ids: Vec, + control_id: Option, +} + +fn configure_fused_zero_prefix_proof(full_scratch_baseline: bool, fused: bool) { + std::env::set_var("LOWQ_DIRECT_PREFIX_BITLEN", "1"); + for name in [ + "LOWQ_DIRECT_PREFIX_DIRTY_UPDATE", + "LOWQ_DIRECT_PREFIX_NO_FLAG", + "LOWQ_RS_DIRTY_ZERO_CORRECTION", + ] { + std::env::remove_var(name); + } + if full_scratch_baseline { + std::env::set_var("LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX", "1"); + std::env::set_var("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH", "1"); + } else { + std::env::remove_var("LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX"); + std::env::remove_var("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH"); + } + if fused { + std::env::set_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN", "1"); + } else { + std::env::remove_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN"); + } +} + +fn build_fused_zero_prefix_update( + source_width: usize, + accumulator_width: usize, + decrement: bool, + legacy_entry: bool, +) -> FusedZeroPrefixProofCircuit { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("fused-zero-proof.source", source_width); + let accumulator = circuit.alloc_qreg_bits("fused-zero-proof.accumulator", accumulator_width); + let source_refs: Vec<&QReg> = source.iter().collect(); + if legacy_entry { + bit_length_lean_allow_zero_legacy(&mut circuit, &source_refs, &accumulator, decrement); + } else { + bit_length_lean_allow_zero(&mut circuit, &source_refs, &accumulator, decrement); + } + let source_ids = source.iter().map(QReg::id).collect(); + let accumulator_ids = accumulator.iter().map(QReg::id).collect(); + FusedZeroPrefixProofCircuit { + builder: circuit.into_builder(), + source_ids, + accumulator_ids, + control_id: None, + } +} + +fn build_fused_zero_prefix_controlled_xor(source_width: usize) -> FusedZeroPrefixProofCircuit { + const ACCUMULATOR_WIDTH: usize = 5; + + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("fused-zero-control-proof.source", source_width); + let control = circuit.alloc_qreg("fused-zero-control-proof.control"); + let accumulator = + circuit.alloc_qreg_bits("fused-zero-control-proof.accumulator", ACCUMULATOR_WIDTH); + let temporary = + circuit.alloc_qreg_bits("fused-zero-control-proof.temporary", ACCUMULATOR_WIDTH); + let source_refs: Vec<&QReg> = source.iter().collect(); + bit_length_lean_allow_zero(&mut circuit, &source_refs, &temporary, false); + for (length_bit, accumulator_bit) in temporary.iter().zip(&accumulator) { + circuit.ccx(&control, length_bit, accumulator_bit); + } + bit_length_lean_allow_zero(&mut circuit, &source_refs, &temporary, true); + for lane in temporary { + circuit.zero_and_free(lane); + } + let source_ids = source.iter().map(QReg::id).collect(); + let accumulator_ids = accumulator.iter().map(QReg::id).collect(); + FusedZeroPrefixProofCircuit { + builder: circuit.into_builder(), + source_ids, + accumulator_ids, + control_id: Some(control.id()), + } +} + +fn fused_zero_prefix_resources( + circuit: &FusedZeroPrefixProofCircuit, +) -> FusedZeroPrefixLocalResources { + use crate::circuit::OperationType; + + let external_qubits = circuit.source_ids.len() + + circuit.accumulator_ids.len() + + usize::from(circuit.control_id.is_some()); + FusedZeroPrefixLocalResources { + extra_qubits: circuit.builder.peak_qubits as usize - external_qubits, + emitted_ops: circuit.builder.ops.len(), + emitted_toffoli: circuit + .builder + .ops + .iter() + .filter(|operation| matches!(operation.kind, OperationType::CCX | OperationType::CCZ)) + .count(), + } +} + +fn assert_fused_zero_prefix_default_stream( + default: &FusedZeroPrefixProofCircuit, + legacy: &FusedZeroPrefixProofCircuit, +) { + assert_eq!(default.source_ids, legacy.source_ids); + assert_eq!(default.accumulator_ids, legacy.accumulator_ids); + assert_eq!(default.builder.ops, legacy.builder.ops); + assert_eq!(default.builder.next_qubit, legacy.builder.next_qubit); + assert_eq!(default.builder.next_bit, legacy.builder.next_bit); + assert_eq!(default.builder.active_qubits, legacy.builder.active_qubits); + assert_eq!(default.builder.peak_qubits, legacy.builder.peak_qubits); + assert_eq!(default.builder.free_qubits, legacy.builder.free_qubits); + assert_eq!( + default.builder.allocation_serial, + legacy.builder.allocation_serial + ); +} + +fn assert_zero_dynamic_bit_length_trace(trace: DynamicBitLengthZeroAllocationTrace) { + assert_eq!( + trace, + DynamicBitLengthZeroAllocationTrace::default(), + "fused traversal allocated an rs.dynamic-bitlen.zero* lane" + ); +} + +fn read_fused_zero_prefix_register( + simulator: &crate::sim::Simulator<'_, R>, + ids: &[u32], + shot: usize, +) -> u64 { + use crate::circuit::QubitId; + + ids.iter().enumerate().fold(0u64, |value, (bit, &id)| { + value | (((simulator.qubit(QubitId(u64::from(id))) >> shot) & 1) << bit) + }) +} + +fn fused_zero_prefix_external_ids(circuit: &FusedZeroPrefixProofCircuit) -> Vec { + circuit + .source_ids + .iter() + .chain(circuit.control_id.iter()) + .chain(circuit.accumulator_ids.iter()) + .copied() + .collect() +} + +fn assert_fused_zero_prefix_internal_clean( + simulator: &crate::sim::Simulator<'_, R>, + circuit: &FusedZeroPrefixProofCircuit, + live: u64, + shots: usize, + context: &str, +) -> usize { + use crate::circuit::QubitId; + + let external = fused_zero_prefix_external_ids(circuit); + let mut internal_lanes = 0usize; + for id in 0..circuit.builder.next_qubit { + if !external.contains(&id) { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "{context} left internal q{id} dirty" + ); + internal_lanes += 1; + } + } + internal_lanes * shots +} + +fn verify_fused_zero_prefix_update_equivalence( + baseline: &FusedZeroPrefixProofCircuit, + fused: &FusedZeroPrefixProofCircuit, + source_width: usize, + decrement: bool, +) -> (usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.source_ids, fused.source_ids); + assert_eq!(baseline.accumulator_ids, fused.accumulator_ids); + let accumulator_width = fused.accumulator_ids.len(); + let accumulator_modulus = 1u64 << accumulator_width; + let cases: Vec<(u64, u64)> = (0..(1u64 << source_width)) + .flat_map(|source| (0..accumulator_modulus).map(move |accumulator| (source, accumulator))) + .collect(); + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for (batch, chunk) in cases.chunks(64).enumerate() { + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"fused-zero-prefix-update-baseline"); + baseline_seed.update(&(source_width as u64).to_le_bytes()); + baseline_seed.update(&(decrement as u64).to_le_bytes()); + baseline_seed.update(&(batch as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + + let mut fused_seed = Shake128::default(); + fused_seed.update(b"fused-zero-prefix-update-fused"); + fused_seed.update(&(source_width as u64).to_le_bytes()); + fused_seed.update(&(decrement as u64).to_le_bytes()); + fused_seed.update(&(batch as u64).to_le_bytes()); + let mut fused_xof = fused_seed.finalize_xof(); + let mut fused_simulator = Simulator::new( + fused.builder.next_qubit as usize, + fused.builder.next_bit as usize, + &mut fused_xof, + ); + + for (shot, &(source_value, accumulator_value)) in chunk.iter().enumerate() { + for (bit, (&baseline_id, &fused_id)) in baseline + .source_ids + .iter() + .zip(&fused.source_ids) + .enumerate() + { + if (source_value >> bit) & 1 == 1 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *fused_simulator.qubit_mut(QubitId(u64::from(fused_id))) |= 1u64 << shot; + } + } + for (bit, (&baseline_id, &fused_id)) in baseline + .accumulator_ids + .iter() + .zip(&fused.accumulator_ids) + .enumerate() + { + if (accumulator_value >> bit) & 1 == 1 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *fused_simulator.qubit_mut(QubitId(u64::from(fused_id))) |= 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + fused_simulator.apply_iter(fused.builder.ops.iter()); + let live = if chunk.len() == 64 { + u64::MAX + } else { + (1u64 << chunk.len()) - 1 + }; + assert_eq!( + baseline_simulator.phase & live, + 0, + "baseline phase failure at width {source_width}, batch {batch}" + ); + assert_eq!( + fused_simulator.phase & live, + 0, + "fused phase failure at width {source_width}, batch {batch}" + ); + phase_clean_checks += 2 * chunk.len(); + + for (shot, &(source_value, accumulator_value)) in chunk.iter().enumerate() { + let bit_length = if source_value == 0 { + 0 + } else { + 64 - u64::from(source_value.leading_zeros()) + }; + let expected = if decrement { + accumulator_value.wrapping_sub(bit_length) % accumulator_modulus + } else { + accumulator_value.wrapping_add(bit_length) % accumulator_modulus + }; + let baseline_source = + read_fused_zero_prefix_register(&baseline_simulator, &baseline.source_ids, shot); + let fused_source = + read_fused_zero_prefix_register(&fused_simulator, &fused.source_ids, shot); + let baseline_accumulator = read_fused_zero_prefix_register( + &baseline_simulator, + &baseline.accumulator_ids, + shot, + ); + let fused_accumulator = + read_fused_zero_prefix_register(&fused_simulator, &fused.accumulator_ids, shot); + assert_eq!(baseline_source, source_value); + assert_eq!(fused_source, source_value); + assert_eq!(baseline_accumulator, expected); + assert_eq!(fused_accumulator, expected); + assert_eq!(fused_source, baseline_source); + assert_eq!(fused_accumulator, baseline_accumulator); + } + ancilla_clean_checks += assert_fused_zero_prefix_internal_clean( + &baseline_simulator, + baseline, + live, + chunk.len(), + "baseline update", + ); + ancilla_clean_checks += assert_fused_zero_prefix_internal_clean( + &fused_simulator, + fused, + live, + chunk.len(), + "fused update", + ); + } + + (cases.len(), phase_clean_checks, ancilla_clean_checks) +} + +fn verify_fused_zero_prefix_controlled_equivalence( + baseline: &FusedZeroPrefixProofCircuit, + fused: &FusedZeroPrefixProofCircuit, + source_width: usize, +) -> (usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.source_ids, fused.source_ids); + assert_eq!(baseline.accumulator_ids, fused.accumulator_ids); + let baseline_control = baseline.control_id.expect("baseline control"); + let fused_control = fused.control_id.expect("fused control"); + let accumulator_modulus = 1u64 << fused.accumulator_ids.len(); + let cases: Vec<(u64, u64, u64)> = (0..(1u64 << source_width)) + .flat_map(|source| { + (0..=1u64).flat_map(move |control| { + (0..accumulator_modulus).map(move |accumulator| (source, control, accumulator)) + }) + }) + .collect(); + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for (batch, chunk) in cases.chunks(64).enumerate() { + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"fused-zero-prefix-control-baseline"); + baseline_seed.update(&(source_width as u64).to_le_bytes()); + baseline_seed.update(&(batch as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + + let mut fused_seed = Shake128::default(); + fused_seed.update(b"fused-zero-prefix-control-fused"); + fused_seed.update(&(source_width as u64).to_le_bytes()); + fused_seed.update(&(batch as u64).to_le_bytes()); + let mut fused_xof = fused_seed.finalize_xof(); + let mut fused_simulator = Simulator::new( + fused.builder.next_qubit as usize, + fused.builder.next_bit as usize, + &mut fused_xof, + ); + + for (shot, &(source_value, control_value, accumulator_value)) in chunk.iter().enumerate() { + for (bit, (&baseline_id, &fused_id)) in baseline + .source_ids + .iter() + .zip(&fused.source_ids) + .enumerate() + { + if (source_value >> bit) & 1 == 1 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *fused_simulator.qubit_mut(QubitId(u64::from(fused_id))) |= 1u64 << shot; + } + } + if control_value == 1 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_control))) |= 1u64 << shot; + *fused_simulator.qubit_mut(QubitId(u64::from(fused_control))) |= 1u64 << shot; + } + for (bit, (&baseline_id, &fused_id)) in baseline + .accumulator_ids + .iter() + .zip(&fused.accumulator_ids) + .enumerate() + { + if (accumulator_value >> bit) & 1 == 1 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *fused_simulator.qubit_mut(QubitId(u64::from(fused_id))) |= 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + fused_simulator.apply_iter(fused.builder.ops.iter()); + let live = if chunk.len() == 64 { + u64::MAX + } else { + (1u64 << chunk.len()) - 1 + }; + assert_eq!( + baseline_simulator.phase & live, + 0, + "baseline controlled phase failure at width {source_width}, batch {batch}" + ); + assert_eq!( + fused_simulator.phase & live, + 0, + "fused controlled phase failure at width {source_width}, batch {batch}" + ); + phase_clean_checks += 2 * chunk.len(); + + for (shot, &(source_value, control_value, accumulator_value)) in chunk.iter().enumerate() { + let bit_length = if source_value == 0 { + 0 + } else { + 64 - u64::from(source_value.leading_zeros()) + }; + let expected = accumulator_value ^ if control_value == 1 { bit_length } else { 0 }; + let baseline_source = + read_fused_zero_prefix_register(&baseline_simulator, &baseline.source_ids, shot); + let fused_source = + read_fused_zero_prefix_register(&fused_simulator, &fused.source_ids, shot); + let baseline_accumulator = read_fused_zero_prefix_register( + &baseline_simulator, + &baseline.accumulator_ids, + shot, + ); + let fused_accumulator = + read_fused_zero_prefix_register(&fused_simulator, &fused.accumulator_ids, shot); + assert_eq!(baseline_source, source_value); + assert_eq!(fused_source, source_value); + assert_eq!( + (baseline_simulator.qubit(QubitId(u64::from(baseline_control))) >> shot) & 1, + control_value + ); + assert_eq!( + (fused_simulator.qubit(QubitId(u64::from(fused_control))) >> shot) & 1, + control_value + ); + assert_eq!(baseline_accumulator, expected); + assert_eq!(fused_accumulator, expected); + assert_eq!(fused_source, baseline_source); + assert_eq!(fused_accumulator, baseline_accumulator); + } + ancilla_clean_checks += assert_fused_zero_prefix_internal_clean( + &baseline_simulator, + baseline, + live, + chunk.len(), + "baseline controlled context", + ); + ancilla_clean_checks += assert_fused_zero_prefix_internal_clean( + &fused_simulator, + fused, + live, + chunk.len(), + "fused controlled context", + ); + } + + (cases.len(), phase_clean_checks, ancilla_clean_checks) +} + +fn assert_fused_zero_prefix_rejection( + result: Result<(), Box>, + expected: &str, +) { + let payload = result.expect_err("invalid fused zero-prefix call was accepted"); + let message = payload + .downcast_ref::() + .map(String::as_str) + .or_else(|| payload.downcast_ref::<&str>().copied()) + .unwrap_or("non-string panic payload"); + assert!( + message.contains(expected), + "unexpected fused zero-prefix rejection: {message}" + ); +} + +fn fused_zero_prefix_precondition_rejections() -> usize { + use super::shrunken_pz_state_machine::{ + bit_length_lean, bit_length_lean_with_increment_scratch, + }; + use std::panic::{catch_unwind, AssertUnwindSafe}; + + configure_fused_zero_prefix_proof(true, true); + let previous_hook = std::panic::take_hook(); + std::panic::set_hook(Box::new(|_| {})); + + let source_target_alias = catch_unwind(AssertUnwindSafe(|| { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("fused-zero-reject.alias", 8); + let source_refs: Vec<&QReg> = source.iter().collect(); + bit_length_lean(&mut circuit, &source_refs, &source, false); + })); + let duplicate_source = catch_unwind(AssertUnwindSafe(|| { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("fused-zero-reject.duplicate-source", 2); + let output = circuit.alloc_qreg_bits("fused-zero-reject.output", 5); + let source_refs = vec![&source[0], &source[0]]; + bit_length_lean(&mut circuit, &source_refs, &output, false); + })); + let narrow_target = catch_unwind(AssertUnwindSafe(|| { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("fused-zero-reject.wide-source", 8); + let output = circuit.alloc_qreg_bits("fused-zero-reject.narrow-target", 3); + let source_refs: Vec<&QReg> = source.iter().collect(); + bit_length_lean(&mut circuit, &source_refs, &output, false); + })); + let scratch_alias = catch_unwind(AssertUnwindSafe(|| { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("fused-zero-reject.scratch-source", 8); + let output = circuit.alloc_qreg_bits("fused-zero-reject.scratch-output", 5); + let source_refs: Vec<&QReg> = source.iter().collect(); + let scratch = vec![&source[0]]; + bit_length_lean_with_increment_scratch( + &mut circuit, + &source_refs, + &output, + false, + &scratch, + ); + })); + std::env::remove_var("LOWQ_DIRECT_PREFIX_BITLEN"); + let missing_direct_route = catch_unwind(AssertUnwindSafe(|| { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("fused-zero-reject.no-direct-source", 1); + let output = circuit.alloc_qreg_bits("fused-zero-reject.no-direct-output", 1); + let source_refs: Vec<&QReg> = source.iter().collect(); + bit_length_lean_allow_zero(&mut circuit, &source_refs, &output, false); + })); + + std::panic::set_hook(previous_hook); + assert_fused_zero_prefix_rejection(source_target_alias, "aliases the target"); + assert_fused_zero_prefix_rejection(duplicate_source, "aliases an earlier source lane"); + assert_fused_zero_prefix_rejection(narrow_target, "cannot represent source width"); + assert_fused_zero_prefix_rejection(scratch_alias, "scratch lane 0 aliases the source"); + assert_fused_zero_prefix_rejection( + missing_direct_route, + "requires LOWQ_DIRECT_PREFIX_BITLEN=1", + ); + configure_fused_zero_prefix_proof(true, true); + 5 +} + +/// Exhaustively prove the feature-gated `i=n` prefix fusion against the +/// historical zero-flag composition. Widths zero through eight cover every +/// source, every five-bit accumulator, both update directions, and both values +/// of an external control in the compute/XOR/uncompute usage. +#[doc(hidden)] +pub fn fused_zero_prefix_bit_length_roundtrip_check() -> FusedZeroPrefixBitLengthProofReport { + const MAX_SOURCE_WIDTH: usize = 8; + const ACCUMULATOR_WIDTH: usize = 5; + const LOCAL_WIDTH: usize = 259; + const LOCAL_ACCUMULATOR_WIDTH: usize = 10; + + configure_fused_zero_prefix_proof(false, false); + begin_dynamic_bit_length_zero_allocation_trace(); + let _trace_sensitivity = + build_fused_zero_prefix_update(MAX_SOURCE_WIDTH, ACCUMULATOR_WIDTH, false, false); + let trace_sensitivity = finish_dynamic_bit_length_zero_allocation_trace(); + assert!(trace_sensitivity.flag_allocations > 0); + assert!(trace_sensitivity.carry_allocations > 0); + assert!(trace_sensitivity.prefix_allocations > 0); + + let mut update_cases_checked = 0usize; + let mut controlled_cases_checked = 0usize; + let mut baseline_equivalence_checks = 0usize; + let mut default_stream_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut fused_trace = DynamicBitLengthZeroAllocationTrace::default(); + let mut maximum_baseline = FusedZeroPrefixLocalResources::default(); + let mut maximum_fused = FusedZeroPrefixLocalResources::default(); + let mut width_direction_toffoli_increase_cases = 0usize; + let mut maximum_width_direction_toffoli_increase = 0usize; + + for source_width in 0..=MAX_SOURCE_WIDTH { + for decrement in [false, true] { + configure_fused_zero_prefix_proof(true, false); + let baseline = + build_fused_zero_prefix_update(source_width, ACCUMULATOR_WIDTH, decrement, false); + let legacy = + build_fused_zero_prefix_update(source_width, ACCUMULATOR_WIDTH, decrement, true); + assert_fused_zero_prefix_default_stream(&baseline, &legacy); + default_stream_equivalence_checks += 1; + + configure_fused_zero_prefix_proof(true, true); + begin_dynamic_bit_length_zero_allocation_trace(); + let fused = + build_fused_zero_prefix_update(source_width, ACCUMULATOR_WIDTH, decrement, false); + let trace = finish_dynamic_bit_length_zero_allocation_trace(); + assert_zero_dynamic_bit_length_trace(trace); + fused_trace.flag_allocations += trace.flag_allocations; + fused_trace.carry_allocations += trace.carry_allocations; + fused_trace.prefix_allocations += trace.prefix_allocations; + + let baseline_resources = fused_zero_prefix_resources(&baseline); + let fused_resources = fused_zero_prefix_resources(&fused); + assert!( + fused_resources.extra_qubits <= baseline_resources.extra_qubits, + "fused width {source_width} decrement={decrement} increased the qubit peak" + ); + if fused_resources.emitted_toffoli > baseline_resources.emitted_toffoli { + width_direction_toffoli_increase_cases += 1; + maximum_width_direction_toffoli_increase = maximum_width_direction_toffoli_increase + .max(fused_resources.emitted_toffoli - baseline_resources.emitted_toffoli); + } + maximum_baseline.extra_qubits = maximum_baseline + .extra_qubits + .max(baseline_resources.extra_qubits); + maximum_baseline.emitted_ops = maximum_baseline + .emitted_ops + .max(baseline_resources.emitted_ops); + maximum_baseline.emitted_toffoli = maximum_baseline + .emitted_toffoli + .max(baseline_resources.emitted_toffoli); + maximum_fused.extra_qubits = + maximum_fused.extra_qubits.max(fused_resources.extra_qubits); + maximum_fused.emitted_ops = maximum_fused.emitted_ops.max(fused_resources.emitted_ops); + maximum_fused.emitted_toffoli = maximum_fused + .emitted_toffoli + .max(fused_resources.emitted_toffoli); + + let (cases, phase_checks, ancilla_checks) = verify_fused_zero_prefix_update_equivalence( + &baseline, + &fused, + source_width, + decrement, + ); + update_cases_checked += cases; + baseline_equivalence_checks += cases; + phase_clean_checks += phase_checks; + ancilla_clean_checks += ancilla_checks; + } + + configure_fused_zero_prefix_proof(true, false); + let baseline_controlled = build_fused_zero_prefix_controlled_xor(source_width); + configure_fused_zero_prefix_proof(true, true); + begin_dynamic_bit_length_zero_allocation_trace(); + let fused_controlled = build_fused_zero_prefix_controlled_xor(source_width); + let trace = finish_dynamic_bit_length_zero_allocation_trace(); + assert_zero_dynamic_bit_length_trace(trace); + fused_trace.flag_allocations += trace.flag_allocations; + fused_trace.carry_allocations += trace.carry_allocations; + fused_trace.prefix_allocations += trace.prefix_allocations; + let (cases, phase_checks, ancilla_checks) = verify_fused_zero_prefix_controlled_equivalence( + &baseline_controlled, + &fused_controlled, + source_width, + ); + controlled_cases_checked += cases; + baseline_equivalence_checks += cases; + phase_clean_checks += phase_checks; + ancilla_clean_checks += ancilla_checks; + } + + configure_fused_zero_prefix_proof(true, false); + let local_add_baseline = fused_zero_prefix_resources(&build_fused_zero_prefix_update( + LOCAL_WIDTH, + LOCAL_ACCUMULATOR_WIDTH, + false, + false, + )); + let local_sub_baseline = fused_zero_prefix_resources(&build_fused_zero_prefix_update( + LOCAL_WIDTH, + LOCAL_ACCUMULATOR_WIDTH, + true, + false, + )); + configure_fused_zero_prefix_proof(true, true); + begin_dynamic_bit_length_zero_allocation_trace(); + let local_add_fused = fused_zero_prefix_resources(&build_fused_zero_prefix_update( + LOCAL_WIDTH, + LOCAL_ACCUMULATOR_WIDTH, + false, + false, + )); + let local_add_trace = finish_dynamic_bit_length_zero_allocation_trace(); + assert_zero_dynamic_bit_length_trace(local_add_trace); + begin_dynamic_bit_length_zero_allocation_trace(); + let local_sub_fused = fused_zero_prefix_resources(&build_fused_zero_prefix_update( + LOCAL_WIDTH, + LOCAL_ACCUMULATOR_WIDTH, + true, + false, + )); + let local_sub_trace = finish_dynamic_bit_length_zero_allocation_trace(); + assert_zero_dynamic_bit_length_trace(local_sub_trace); + assert!(local_add_fused.extra_qubits <= local_add_baseline.extra_qubits); + assert!(local_add_fused.emitted_ops <= local_add_baseline.emitted_ops); + assert!(local_add_fused.emitted_toffoli <= local_add_baseline.emitted_toffoli); + assert!(local_sub_fused.extra_qubits <= local_sub_baseline.extra_qubits); + assert!(local_sub_fused.emitted_ops <= local_sub_baseline.emitted_ops); + assert!(local_sub_fused.emitted_toffoli <= local_sub_baseline.emitted_toffoli); + + configure_fused_zero_prefix_proof(true, false); + let scheduled_baseline = profile_reference_scheduled_inversion(); + configure_fused_zero_prefix_proof(true, true); + let scheduled_fused = profile_reference_scheduled_inversion(); + assert_eq!(scheduled_fused.steps, scheduled_baseline.steps); + assert!(scheduled_fused.inversion_peak_qubits <= scheduled_baseline.inversion_peak_qubits); + assert!(scheduled_fused.emitted_ops <= scheduled_baseline.emitted_ops); + assert!(scheduled_fused.emitted_toffoli <= scheduled_baseline.emitted_toffoli); + + let precondition_rejections = fused_zero_prefix_precondition_rejections(); + configure_fused_zero_prefix_proof(true, true); + + FusedZeroPrefixBitLengthProofReport { + widths_checked: MAX_SOURCE_WIDTH + 1, + accumulator_width: ACCUMULATOR_WIDTH, + accumulator_values_per_source: 1usize << ACCUMULATOR_WIDTH, + update_cases_checked, + controlled_cases_checked, + directions_checked: 2, + control_values_checked: 2, + baseline_equivalence_checks, + default_stream_equivalence_checks, + phase_clean_checks, + ancilla_clean_checks, + precondition_rejections, + trace_sensitivity_flag_allocations: trace_sensitivity.flag_allocations, + trace_sensitivity_carry_allocations: trace_sensitivity.carry_allocations, + trace_sensitivity_prefix_allocations: trace_sensitivity.prefix_allocations, + fused_zero_flag_allocations: fused_trace.flag_allocations, + fused_zero_carry_allocations: fused_trace.carry_allocations, + fused_zero_prefix_allocations: fused_trace.prefix_allocations, + maximum_baseline_extra_qubits: maximum_baseline.extra_qubits, + maximum_fused_extra_qubits: maximum_fused.extra_qubits, + maximum_baseline_emitted_ops: maximum_baseline.emitted_ops, + maximum_fused_emitted_ops: maximum_fused.emitted_ops, + maximum_baseline_emitted_toffoli: maximum_baseline.emitted_toffoli, + maximum_fused_emitted_toffoli: maximum_fused.emitted_toffoli, + width_direction_toffoli_increase_cases, + maximum_width_direction_toffoli_increase, + local_width: LOCAL_WIDTH, + local_accumulator_width: LOCAL_ACCUMULATOR_WIDTH, + local_add_baseline, + local_add_fused, + local_sub_baseline, + local_sub_fused, + scheduled_steps: scheduled_baseline.steps, + scheduled_baseline_inversion_peak_qubits: scheduled_baseline.inversion_peak_qubits, + scheduled_fused_inversion_peak_qubits: scheduled_fused.inversion_peak_qubits, + scheduled_baseline_emitted_ops: scheduled_baseline.emitted_ops, + scheduled_fused_emitted_ops: scheduled_fused.emitted_ops, + scheduled_baseline_emitted_toffoli: scheduled_baseline.emitted_toffoli, + scheduled_fused_emitted_toffoli: scheduled_fused.emitted_toffoli, + scheduled_baseline_emitted_hmr: scheduled_baseline.emitted_hmr, + scheduled_fused_emitted_hmr: scheduled_fused.emitted_hmr, + scheduled_baseline_emitted_resets: scheduled_baseline.emitted_resets, + scheduled_fused_emitted_resets: scheduled_fused.emitted_resets, + } +} + +fn controlled_xor_dynamic_prefix_bit_length_quadratic( + circ: &mut Circuit, + control: &QReg, + right_length: &[QReg], + work: &[QReg], + output: &[QReg], +) { + let flag = circ.alloc_qreg("rs.dynamic-prefix.flag"); + let chain = circ.alloc_qreg_bits( + "rs.dynamic-prefix.chain", + right_length.len().saturating_sub(1), + ); + let temporary = circ.alloc_qreg_bits("rs.dynamic-prefix.length", output.len()); + for boundary in 0..=work.len() { + equality_flag(circ, control, right_length, boundary, &flag, &chain); + let source: Vec<&QReg> = work[..work.len() - boundary].iter().collect(); + bit_length_lean_allow_zero(circ, &source, &temporary, false); + for (source_bit, output_bit) in temporary.iter().zip(output) { + circ.ccx(&flag, source_bit, output_bit); + } + bit_length_lean_allow_zero(circ, &source, &temporary, true); + equality_flag(circ, control, right_length, boundary, &flag, &chain); + } + for lane in temporary { + circ.zero_and_free(lane); + } + for lane in chain { + circ.zero_and_free(lane); + } + circ.zero_and_free(flag); +} + +fn controlled_xor_dynamic_suffix_bit_length_quadratic( + circ: &mut Circuit, + control: &QReg, + left_length: &[QReg], + work: &[QReg], + output: &[QReg], +) { + let flag = circ.alloc_qreg("rs.dynamic-suffix.flag"); + let chain = circ.alloc_qreg_bits( + "rs.dynamic-suffix.chain", + left_length.len().saturating_sub(1), + ); + let temporary = circ.alloc_qreg_bits("rs.dynamic-suffix.length", output.len()); + for boundary in 0..=work.len() { + equality_flag(circ, control, left_length, boundary, &flag, &chain); + let start = (boundary + 1).min(work.len()); + let source: Vec<&QReg> = work[start..].iter().rev().collect(); + bit_length_lean_allow_zero(circ, &source, &temporary, false); + for (source_bit, output_bit) in temporary.iter().zip(output) { + circ.ccx(&flag, source_bit, output_bit); + } + bit_length_lean_allow_zero(circ, &source, &temporary, true); + equality_flag(circ, control, left_length, boundary, &flag, &chain); + } + for lane in temporary { + circ.zero_and_free(lane); + } + for lane in chain { + circ.zero_and_free(lane); + } + circ.zero_and_free(flag); +} + +/// XOR `control AND max(bitlen(source) - boundary, 0)` into `output`. +/// +/// The extra high lane makes the modular subtraction a signed subtraction. A +/// boundary occupies `output.len()` bits and `source.len()` is constrained to +/// the positive signed range, so the top lane is exactly the negative +/// predicate. The following add is the exact inverse of the subtract and +/// restores all arithmetic scratch, including the overflow lane. +fn rotated_bitlen_scratch_reuse_requested() -> bool { + std::env::var("LOWQ_REUSE_ROTATED_BITLEN_SCRATCH") + .ok() + .as_deref() + == Some("1") +} + +fn coefficient_raw_bitlen_loan_requested() -> bool { + std::env::var(COEFFICIENT_RAW_BITLEN_LOAN_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn promised_l_q_swap_borrow_requested() -> bool { + std::env::var(PROMISED_LQ_SWAP_BORROW_FLAG).ok().as_deref() == Some("1") +} + +fn promised_swap_support_lifetime_fusion_requested() -> bool { + std::env::var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn split_coefficient_rotation_lifetime_requested() -> bool { + std::env::var(SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn coefficient_less_than_lane_reuse_requested() -> bool { + std::env::var(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn clean_chain_coefficient_add_lender_requested() -> bool { + std::env::var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn paired_bitlen_source_complement_requested() -> bool { + std::env::var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn coefficient_nonnegative_x_cancel_requested() -> bool { + std::env::var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn q845_lifetime_coefficient_fusion_requested() -> bool { + std::env::var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn q845_swap_only_t_prime_length_requested() -> bool { + std::env::var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn q851_truncated_swap_only_guard_requested() -> bool { + std::env::var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn q851_fixed_sign_event_requested() -> bool { + std::env::var(Q851_FIXED_SIGN_EVENT_FLAG).ok().as_deref() == Some("1") +} + +fn q830_dirty_fixed_sign_event_requested() -> bool { + std::env::var(Q830_DIRTY_FIXED_SIGN_EVENT_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn q830_direct_swap_metadata_requested() -> bool { + std::env::var(Q830_DIRECT_SWAP_METADATA_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn q830_coefficient_counter_relocation_requested() -> bool { + std::env::var(Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn q828_ls_parity_requested() -> bool { + std::env::var(Q828_LS_PARITY_FLAG).ok().as_deref() == Some("1") +} + +fn q826_remainder_t_prime_host_requested() -> bool { + if std::env::var(Q826_REMAINDER_T_PRIME_HOST_FLAG) + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + phase_overlaid_remainder_scratch_requested(), + "Q826 remainder hosting requires phase-overlaid remainder scratch" + ); + assert!( + q845_swap_only_t_prime_length_requested(), + "Q826 remainder hosting requires the swap-only t-prime lifecycle" + ); + assert!( + q830_coefficient_counter_relocation_requested(), + "Q826 remainder hosting requires the one-lane relocated t-prime register" + ); + true +} + +fn q826_coefficient_l_s_host_requested() -> bool { + if std::env::var(Q826_COEFFICIENT_LS_HOST_FLAG) + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + q828_ls_parity_requested(), + "Q826 coefficient hosting requires the Q828 l_s parity route" + ); + assert!( + q845_lifetime_coefficient_fusion_requested() + && q845_swap_only_t_prime_length_requested(), + "Q826 coefficient hosting requires the fused swap-only coefficient route" + ); + assert!( + q830_coefficient_counter_relocation_requested(), + "Q826 coefficient hosting requires the relocated coefficient counter" + ); + true +} + +fn q826_rotated_swap_t_prime_host_requested() -> bool { + if std::env::var(Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG) + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + q830_direct_swap_metadata_requested(), + "Q826 rotated swap hosting requires direct swap metadata" + ); + assert!( + q845_swap_only_t_prime_length_requested(), + "Q826 rotated swap hosting requires the swap-only t-prime lifecycle" + ); + assert!( + q830_coefficient_counter_relocation_requested(), + "Q826 rotated swap hosting requires the one-lane relocated t-prime register" + ); + true +} + +fn q824_remainder_lq_high_host_requested() -> bool { + if std::env::var(Q824_REMAINDER_LQ_HIGH_HOST_FLAG) + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + q826_remainder_t_prime_host_requested(), + "Q824 remainder l_q high hosting builds on the Q826 t-prime hosted layout" + ); + assert!( + q825_seven_bit_l_q_requested(), + "Q824 remainder l_q high hosting requires the six-lane l_q support route" + ); + true +} + +fn q824_coefficient_lq_high_host_requested() -> bool { + if std::env::var(Q824_COEFFICIENT_LQ_HIGH_HOST_FLAG) + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + q830_coefficient_counter_relocation_requested(), + "Q824 coefficient l_q hosting requires relocated coefficient counters" + ); + assert!( + q825_seven_bit_l_q_requested(), + "Q824 coefficient l_q hosting requires the six-lane l_q support route" + ); + assert!( + q828_ls_parity_requested() && q826_coefficient_l_s_host_requested(), + "Q824 coefficient l_q hosting requires the Q828/Q826 coefficient host" + ); + assert!( + sub800_uls_direct_selector_requested(), + "Q824 coefficient l_q hosting is defined for the restored-dirty direct selector" + ); + true +} + +fn q824_rotated_swap_lq_high_host_requested() -> bool { + if std::env::var(Q824_ROTATED_SWAP_LQ_HIGH_HOST_FLAG) + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + q825_seven_bit_l_q_requested(), + "Q824 rotated swap l_q hosting requires the six-lane l_q support route" + ); + assert!( + q826_rotated_swap_t_prime_host_requested() && q830_direct_swap_metadata_requested(), + "Q824 rotated swap l_q hosting requires the Q826 direct metadata swap route" + ); + assert!( + preserved_dy_top_prefix_loan_requested(), + "Q824 rotated swap l_q hosting requires the preserved top prefix lender" + ); + true +} + +fn sub800_inplace_guard_address_requested() -> bool { + std::env::var(SUB800_INPLACE_GUARD_ADDRESS_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn sub800_raw_prefix_preserved_lender_requested() -> bool { + std::env::var(SUB800_RAW_PREFIX_PRESERVED_LENDER_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn sub800_raw_prefix_predicate_lender_requested() -> bool { + std::env::var(SUB800_RAW_PREFIX_PREDICATE_LENDER_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn sub800_mixed_boundary_scratch_extension_requested() -> bool { + std::env::var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn sub800_borrowed_rotated_underflow_requested() -> bool { + std::env::var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_split_mixed_rotated_length_requested() -> bool { + std::env::var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_split_same_rotated_length_requested() -> bool { + std::env::var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_split_two_high_rotated_length_requested() -> bool { + std::env::var(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_split_three_high_rotated_length_requested() -> bool { + std::env::var(SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_split_four_high_rotated_length_requested() -> bool { + std::env::var(SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn q827_serial_split_five_requested() -> bool { + std::env::var(Q827_SERIAL_SPLIT_FIVE_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_uls_clean_lender_requested() -> bool { + q845_swap_only_t_prime_length_requested() + && std::env::var(SUB800_ULS_CLEAN_LENDER_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_uls_fused_target_requested() -> bool { + q845_swap_only_t_prime_length_requested() + && std::env::var(SUB800_ULS_FUSED_TARGET_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn sub800_uls_direct_selector_requested() -> bool { + q845_swap_only_t_prime_length_requested() + && sub800_uls_fused_target_requested() + && std::env::var(SUB800_ULS_DIRECT_SELECTOR_FLAG) + .ok() + .as_deref() + == Some("1") +} +fn q839_seven_plateau_lenders_requested() -> bool { + if std::env::var(Q839_SEVEN_PLATEAU_LENDERS_FLAG) + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + q845_swap_only_t_prime_length_requested(), + "seven-plateau lending requires the Q845 swap-only t-prime route" + ); + assert!( + q845_lifetime_coefficient_fusion_requested() && sub800_uls_fused_target_requested(), + "seven-plateau ULS lending requires the fused Q845 coefficient target" + ); + assert!( + q851_fixed_sign_event_requested(), + "seven-plateau ULS lending requires the fixed-sign cursor event" + ); + true +} +fn q845_swap_only_coefficient_dependencies_satisfied() -> bool { + (!q845_swap_only_t_prime_length_requested() || q845_lifetime_coefficient_fusion_requested()) + && (!q851_truncated_swap_only_guard_requested() + || q845_swap_only_t_prime_length_requested()) + && (!q851_fixed_sign_event_requested() || q845_swap_only_t_prime_length_requested()) + && (!sub800_inplace_guard_address_requested() + || q845_swap_only_t_prime_length_requested()) +} + +fn q845_swap_only_swap_dependencies_satisfied() -> bool { + !q845_swap_only_t_prime_length_requested() || promised_l_q_swap_borrow_requested() +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct RawBitLengthAllocationTrace { + raw_rotation_carry_allocations: usize, + raw_rotation_overflow_allocations: usize, + raw_rotation_split_releases: usize, + raw_rotation_split_recomputes: usize, + raw_rotation_lanes_released: usize, + rotated_boundary_qubits_allocated: usize, + rotated_inplace_boundary_uses: usize, + rotated_carry_allocations: usize, + rotated_overflow_allocations: usize, + rotated_enabled_allocations: usize, +} + +thread_local! { + static RAW_BIT_LENGTH_ALLOCATION_TRACE: std::cell::Cell<( + bool, + RawBitLengthAllocationTrace, + )> = std::cell::Cell::new((false, RawBitLengthAllocationTrace { + raw_rotation_carry_allocations: 0, + raw_rotation_overflow_allocations: 0, + raw_rotation_split_releases: 0, + raw_rotation_split_recomputes: 0, + raw_rotation_lanes_released: 0, + rotated_boundary_qubits_allocated: 0, + rotated_inplace_boundary_uses: 0, + rotated_carry_allocations: 0, + rotated_overflow_allocations: 0, + rotated_enabled_allocations: 0, + })); +} + +fn begin_raw_bit_length_allocation_trace() { + RAW_BIT_LENGTH_ALLOCATION_TRACE.with(|trace| { + trace.set((true, RawBitLengthAllocationTrace::default())); + }); +} + +fn finish_raw_bit_length_allocation_trace() -> RawBitLengthAllocationTrace { + RAW_BIT_LENGTH_ALLOCATION_TRACE.with(|trace| { + let (_, snapshot) = trace.get(); + trace.set((false, snapshot)); + snapshot + }) +} + +fn trace_raw_bit_length_allocations(delta: RawBitLengthAllocationTrace) { + RAW_BIT_LENGTH_ALLOCATION_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + snapshot.raw_rotation_carry_allocations += delta.raw_rotation_carry_allocations; + snapshot.raw_rotation_overflow_allocations += delta.raw_rotation_overflow_allocations; + snapshot.raw_rotation_split_releases += delta.raw_rotation_split_releases; + snapshot.raw_rotation_split_recomputes += delta.raw_rotation_split_recomputes; + snapshot.raw_rotation_lanes_released += delta.raw_rotation_lanes_released; + snapshot.rotated_boundary_qubits_allocated += delta.rotated_boundary_qubits_allocated; + snapshot.rotated_inplace_boundary_uses += delta.rotated_inplace_boundary_uses; + snapshot.rotated_carry_allocations += delta.rotated_carry_allocations; + snapshot.rotated_overflow_allocations += delta.rotated_overflow_allocations; + snapshot.rotated_enabled_allocations += delta.rotated_enabled_allocations; + trace.set((enabled, snapshot)); + } + }); +} + +fn inplace_rotated_bitlen_boundary_requested() -> bool { + std::env::var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG) + .ok() + .as_deref() + == Some("1") +} + +fn assert_rotated_bitlen_scratch_disjoint( + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + output: &[QReg], + scratch: &[&QReg], +) -> bool { + let borrowed = scratch.len() >= 3; + if borrowed { + for (index, lane) in scratch[..3].iter().enumerate() { + assert!( + scratch[..index].iter().all(|other| other.id() != lane.id()), + "rotated bit-length scratch lane {index} aliases an earlier lane" + ); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + } + } + borrowed +} + +fn toggle_subtraction_borrow_anf( + circ: &mut Circuit, + x: &QReg, + y: &QReg, + borrow: &QReg, + target: &QReg, +) { + // br(x,y,b) = y XOR b XOR yb XOR xy XOR xb. + circ.cx(y, target); + circ.cx(borrow, target); + circ.ccx(y, borrow, target); + circ.ccx(x, y, target); + circ.ccx(x, borrow, target); +} + +fn toggle_controlled_subtraction_borrow_anf( + circ: &mut Circuit, + control: &QReg, + x: &QReg, + y: Option<&QReg>, + borrow: &QReg, + target: &QReg, + dirty: &QReg, +) { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + + if let Some(y) = y { + circ.ccx(control, y, target); + circ.ccx(control, borrow, target); + mcx_dirty_any_k(circ, &[control, y, borrow], target, dirty); + mcx_dirty_any_k(circ, &[control, x, y], target, dirty); + mcx_dirty_any_k(circ, &[control, x, borrow], target, dirty); + } else { + // br(x,0,b) = b XOR xb. + circ.ccx(control, borrow, target); + mcx_dirty_any_k(circ, &[control, x, borrow], target, dirty); + } +} + +fn controlled_xor_saturating_difference_materialized_boundary( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + length: &[QReg], + output: &[QReg], + scratch: &[&QReg], +) { + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + rotated_boundary_qubits_allocated: length.len(), + ..RawBitLengthAllocationTrace::default() + }); + let boundary_copy = circ.alloc_qreg_bits("rs.rotated-bitlen.boundary", length.len()); + for (source_bit, target_bit) in boundary.iter().zip(&boundary_copy) { + circ.cx(source_bit, target_bit); + } + let borrowed = + assert_rotated_bitlen_scratch_disjoint(control, boundary, source, output, scratch); + if !borrowed { + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + rotated_carry_allocations: 1, + rotated_overflow_allocations: 1, + ..RawBitLengthAllocationTrace::default() + }); + } + let carry_owned = (!borrowed).then(|| circ.alloc_qreg("rs.rotated-bitlen.carry")); + let overflow_owned = (!borrowed).then(|| circ.alloc_qreg("rs.rotated-bitlen.overflow")); + let carry = if borrowed { + scratch[0] + } else { + carry_owned.as_ref().expect("owned rotated carry") + }; + let overflow = if borrowed { + scratch[1] + } else { + overflow_owned.as_ref().expect("owned rotated overflow") + }; + cuccaro_sub_mod_2n(circ, &boundary_copy, length, carry, overflow); + + let sign = &length[length.len() - 1]; + if !borrowed { + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + rotated_enabled_allocations: 1, + ..RawBitLengthAllocationTrace::default() + }); + } + let enabled_owned = (!borrowed).then(|| circ.alloc_qreg("rs.rotated-bitlen.enabled")); + let enabled = if borrowed { + scratch[2] + } else { + enabled_owned.as_ref().expect("owned rotated enable") + }; + circ.x(sign); + circ.ccx(control, sign, enabled); + for (difference_bit, output_bit) in length.iter().zip(output) { + circ.ccx(enabled, difference_bit, output_bit); + } + circ.ccx(control, sign, enabled); + circ.x(sign); + if let Some(enabled) = enabled_owned { + circ.zero_and_free(enabled); + } + + cuccaro_add_mod_2n(circ, &boundary_copy, length, carry, overflow); + if let Some(overflow) = overflow_owned { + circ.zero_and_free(overflow); + } + if let Some(carry) = carry_owned { + circ.zero_and_free(carry); + } + for (source_bit, target_bit) in boundary.iter().zip(&boundary_copy) { + circ.cx(source_bit, target_bit); + } + for lane in boundary_copy { + circ.zero_and_free(lane); + } +} + +fn controlled_xor_saturating_difference_inplace_boundary( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + length: &[QReg], + output: &[QReg], + scratch: &[&QReg], +) { + let split_four_high_length = length.len() + 4 == boundary.len(); + let split_three_high_length = length.len() + 3 == boundary.len(); + let split_two_high_length = length.len() + 2 == boundary.len(); + let split_same_length = length.len() + 1 == boundary.len(); + let borrowed_underflow = split_four_high_length + || split_three_high_length + || split_two_high_length + || split_same_length + || length.len() == boundary.len(); + assert!( + split_four_high_length + || split_three_high_length + || split_two_high_length + || split_same_length + || length.len() == boundary.len() + || length.len() == boundary.len() + 1 + ); + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + rotated_inplace_boundary_uses: 1, + ..RawBitLengthAllocationTrace::default() + }); + let borrowed = + assert_rotated_bitlen_scratch_disjoint(control, boundary, source, output, scratch); + assert!( + !borrowed_underflow || borrowed, + "borrowed rotated underflow requires three disjoint clean lenders" + ); + if !borrowed { + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + rotated_carry_allocations: 1, + rotated_enabled_allocations: 1, + ..RawBitLengthAllocationTrace::default() + }); + } + let carry_owned = (!borrowed).then(|| circ.alloc_qreg("rs.rotated-bitlen.carry")); + let enabled_owned = (!borrowed).then(|| circ.alloc_qreg("rs.rotated-bitlen.enabled")); + let carry = if borrowed { + scratch[0] + } else { + carry_owned.as_ref().expect("owned rotated carry") + }; + let enabled = if borrowed_underflow { + carry + } else if borrowed { + scratch[2] + } else { + enabled_owned.as_ref().expect("owned rotated enable") + }; + + if split_four_high_length { + assert!(borrowed); + assert!(scratch.len() >= 9); + assert_eq!(length.len() + 4, boundary.len()); + assert_eq!(output.len(), boundary.len()); + assert!(!length.is_empty()); + assert!(!source.is_empty()); + let boundary_low = &boundary[..length.len()]; + let boundary_high5 = &boundary[length.len()]; + let boundary_high6 = &boundary[length.len() + 1]; + let boundary_high7 = &boundary[length.len() + 2]; + let boundary_high8 = &boundary[length.len() + 3]; + let borrow = scratch[1]; + let high5_borrow = scratch[2]; + let high6_borrow = scratch[3]; + let high7_borrow = scratch[4]; + let length_high5 = scratch[5]; + let length_high6 = scratch[6]; + let length_high7 = scratch[7]; + let length_high8 = scratch[8]; + let dirty = source[0]; + for (index, lane) in scratch[..9].iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + toggle_subtraction_borrow_anf(circ, length_high5, boundary_high5, borrow, high5_borrow); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + + circ.cx(control, enabled); + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + Some(boundary_high8), + high7_borrow, + enabled, + dirty, + ); + + for (high, boundary_high, incoming) in [ + (length_high5, boundary_high5, borrow), + (length_high6, boundary_high6, high5_borrow), + (length_high7, boundary_high7, high6_borrow), + (length_high8, boundary_high8, high7_borrow), + ] { + circ.cx(boundary_high, high); + circ.cx(incoming, high); + } + for (difference_bit, output_bit) in length.iter().zip(&output[..length.len()]) { + circ.ccx(enabled, difference_bit, output_bit); + } + for (offset, high) in [length_high5, length_high6, length_high7, length_high8] + .into_iter() + .enumerate() + { + circ.ccx(enabled, high, &output[length.len() + offset]); + } + for (high, boundary_high, incoming) in [ + (length_high8, boundary_high8, high7_borrow), + (length_high7, boundary_high7, high6_borrow), + (length_high6, boundary_high6, high5_borrow), + (length_high5, boundary_high5, borrow), + ] { + circ.cx(incoming, high); + circ.cx(boundary_high, high); + } + + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + Some(boundary_high8), + high7_borrow, + enabled, + dirty, + ); + circ.cx(control, enabled); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf(circ, length_high5, boundary_high5, borrow, high5_borrow); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); + return; + } + + if split_three_high_length { + assert!(borrowed); + assert!(scratch.len() >= 8); + assert_eq!(length.len() + 3, boundary.len()); + assert_eq!(output.len(), boundary.len()); + assert!(!length.is_empty()); + assert!(!source.is_empty()); + let boundary_low = &boundary[..length.len()]; + let boundary_high6 = &boundary[length.len()]; + let boundary_high7 = &boundary[length.len() + 1]; + let boundary_high8 = &boundary[length.len() + 2]; + let borrow = scratch[1]; + let high6_borrow = scratch[2]; + let high7_borrow = scratch[3]; + let length_high6 = scratch[5]; + let length_high7 = scratch[6]; + let length_high8 = scratch[7]; + let dirty = source[0]; + for (index, lane) in scratch[..8].iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + assert_ne!(dirty.id(), control.id()); + assert!(boundary.iter().all(|lane| lane.id() != dirty.id())); + assert!(output.iter().all(|lane| lane.id() != dirty.id())); + assert!(length.iter().all(|lane| lane.id() != dirty.id())); + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + + // Start from c, then toggle c*br(h8,k8,v) to obtain c AND !borrow. + circ.cx(control, enabled); + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + Some(boundary_high8), + high7_borrow, + enabled, + dirty, + ); + + circ.cx(boundary_high6, length_high6); + circ.cx(borrow, length_high6); + circ.cx(boundary_high7, length_high7); + circ.cx(high6_borrow, length_high7); + circ.cx(boundary_high8, length_high8); + circ.cx(high7_borrow, length_high8); + for (difference_bit, output_bit) in length.iter().zip(&output[..length.len()]) { + circ.ccx(enabled, difference_bit, output_bit); + } + circ.ccx(enabled, length_high6, &output[length.len()]); + circ.ccx(enabled, length_high7, &output[length.len() + 1]); + circ.ccx(enabled, length_high8, &output[length.len() + 2]); + circ.cx(high7_borrow, length_high8); + circ.cx(boundary_high8, length_high8); + circ.cx(high6_borrow, length_high7); + circ.cx(boundary_high7, length_high7); + circ.cx(borrow, length_high6); + circ.cx(boundary_high6, length_high6); + + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + Some(boundary_high8), + high7_borrow, + enabled, + dirty, + ); + circ.cx(control, enabled); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + borrow, + high6_borrow, + ); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); + return; + } + + if split_two_high_length { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + + assert!(borrowed); + assert!(scratch.len() >= 7); + assert_eq!(length.len() + 2, boundary.len()); + assert_eq!(output.len(), boundary.len()); + assert!(!length.is_empty()); + let boundary_low = &boundary[..length.len()]; + let boundary_high7 = &boundary[length.len()]; + let boundary_high8 = &boundary[length.len() + 1]; + let borrow = scratch[1]; + let high_borrow = scratch[2]; + let length_high7 = scratch[5]; + let length_high8 = scratch[6]; + let dirty = &length[0]; + for (index, lane) in scratch[..7].iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + + // v = br(a,g,u) = g XOR u XOR gu XOR ag XOR au. + circ.cx(boundary_high7, high_borrow); + circ.cx(borrow, high_borrow); + circ.ccx(boundary_high7, borrow, high_borrow); + circ.ccx(length_high7, boundary_high7, high_borrow); + circ.ccx(length_high7, borrow, high_borrow); + + // U = br(h,k,v). Starting from c, toggle c*U to obtain c AND !U. + circ.cx(control, enabled); + circ.ccx(control, boundary_high8, enabled); + circ.ccx(control, high_borrow, enabled); + mcx_dirty_any_k( + circ, + &[control, boundary_high8, high_borrow], + enabled, + dirty, + ); + mcx_dirty_any_k( + circ, + &[control, length_high8, boundary_high8], + enabled, + dirty, + ); + mcx_dirty_any_k( + circ, + &[control, length_high8, high_borrow], + enabled, + dirty, + ); + + // d7 = a XOR g XOR u and d8 = h XOR k XOR v. + circ.cx(boundary_high7, length_high7); + circ.cx(borrow, length_high7); + circ.cx(boundary_high8, length_high8); + circ.cx(high_borrow, length_high8); + for (difference_bit, output_bit) in length.iter().zip(&output[..length.len()]) { + circ.ccx(enabled, difference_bit, output_bit); + } + circ.ccx(enabled, length_high7, &output[length.len()]); + circ.ccx(enabled, length_high8, &output[length.len() + 1]); + circ.cx(high_borrow, length_high8); + circ.cx(boundary_high8, length_high8); + circ.cx(borrow, length_high7); + circ.cx(boundary_high7, length_high7); + + mcx_dirty_any_k( + circ, + &[control, length_high8, high_borrow], + enabled, + dirty, + ); + mcx_dirty_any_k( + circ, + &[control, length_high8, boundary_high8], + enabled, + dirty, + ); + mcx_dirty_any_k( + circ, + &[control, boundary_high8, high_borrow], + enabled, + dirty, + ); + circ.ccx(control, high_borrow, enabled); + circ.ccx(control, boundary_high8, enabled); + circ.cx(control, enabled); + + circ.ccx(length_high7, borrow, high_borrow); + circ.ccx(length_high7, boundary_high7, high_borrow); + circ.ccx(boundary_high7, borrow, high_borrow); + circ.cx(borrow, high_borrow); + circ.cx(boundary_high7, high_borrow); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); + return; + } + + if split_same_length { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + + assert!(borrowed); + assert_eq!(length.len() + 1, boundary.len()); + assert_eq!(output.len(), boundary.len()); + assert!(!length.is_empty()); + let boundary_high = &boundary[boundary.len() - 1]; + let boundary_low = &boundary[..length.len()]; + let borrow = scratch[1]; + let length_high = scratch[2]; + let dirty = &length[0]; + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + + // For L=(h,l), B=(g,b), and u=[l= 9); + assert_eq!(length.len() + 3, boundary.len()); + assert!(!length.is_empty()); + assert!(!source.is_empty()); + let boundary_low = &boundary[..length.len()]; + let boundary_high5 = &boundary[length.len()]; + let boundary_high6 = &boundary[length.len() + 1]; + let boundary_high7 = &boundary[length.len() + 2]; + let borrow = scratch[1]; + let high5_borrow = scratch[2]; + let high6_borrow = scratch[3]; + let high7_borrow = scratch[4]; + let length_high5 = scratch[5]; + let length_high6 = scratch[6]; + let length_high7 = scratch[7]; + let length_high8 = scratch[8]; + let dirty = source[0]; + for (index, lane) in scratch[..9].iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + toggle_subtraction_borrow_anf(circ, length_high5, boundary_high5, borrow, high5_borrow); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + + circ.cx(control, enabled); + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + None, + high7_borrow, + enabled, + dirty, + ); + + for (high, boundary_high, incoming) in [ + (length_high5, Some(boundary_high5), borrow), + (length_high6, Some(boundary_high6), high5_borrow), + (length_high7, Some(boundary_high7), high6_borrow), + (length_high8, None, high7_borrow), + ] { + if let Some(boundary_high) = boundary_high { + circ.cx(boundary_high, high); + } + circ.cx(incoming, high); + } + for (difference_bit, output_bit) in length.iter().zip(&output[..length.len()]) { + circ.ccx(enabled, difference_bit, output_bit); + } + for (offset, high) in [length_high5, length_high6, length_high7, length_high8] + .into_iter() + .enumerate() + { + circ.ccx(enabled, high, &output[length.len() + offset]); + } + for (high, boundary_high, incoming) in [ + (length_high8, None, high7_borrow), + (length_high7, Some(boundary_high7), high6_borrow), + (length_high6, Some(boundary_high6), high5_borrow), + (length_high5, Some(boundary_high5), borrow), + ] { + circ.cx(incoming, high); + if let Some(boundary_high) = boundary_high { + circ.cx(boundary_high, high); + } + } + + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + None, + high7_borrow, + enabled, + dirty, + ); + circ.cx(control, enabled); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf(circ, length_high5, boundary_high5, borrow, high5_borrow); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); + return; + } + + if split_three_high_length { + assert!(borrowed); + assert!(scratch.len() >= 8); + assert_eq!(length.len() + 2, boundary.len()); + assert!(!length.is_empty()); + assert!(!source.is_empty()); + let boundary_low = &boundary[..length.len()]; + let boundary_high6 = &boundary[length.len()]; + let boundary_high7 = &boundary[length.len() + 1]; + let borrow = scratch[1]; + let high6_borrow = scratch[2]; + let high7_borrow = scratch[3]; + let length_high6 = scratch[5]; + let length_high7 = scratch[6]; + let length_high8 = scratch[7]; + let dirty = source[0]; + for (index, lane) in scratch[..8].iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + assert_ne!(dirty.id(), control.id()); + assert!(boundary.iter().all(|lane| lane.id() != dirty.id())); + assert!(output.iter().all(|lane| lane.id() != dirty.id())); + assert!(length.iter().all(|lane| lane.id() != dirty.id())); + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + + // The missing ninth boundary bit is zero, so br(h8,0,v)=v XOR h8*v. + circ.cx(control, enabled); + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + None, + high7_borrow, + enabled, + dirty, + ); + + circ.cx(boundary_high6, length_high6); + circ.cx(borrow, length_high6); + circ.cx(boundary_high7, length_high7); + circ.cx(high6_borrow, length_high7); + circ.cx(high7_borrow, length_high8); + for (difference_bit, output_bit) in length.iter().zip(&output[..length.len()]) { + circ.ccx(enabled, difference_bit, output_bit); + } + circ.ccx(enabled, length_high6, &output[length.len()]); + circ.ccx(enabled, length_high7, &output[length.len() + 1]); + circ.ccx(enabled, length_high8, &output[length.len() + 2]); + circ.cx(high7_borrow, length_high8); + circ.cx(high6_borrow, length_high7); + circ.cx(boundary_high7, length_high7); + circ.cx(borrow, length_high6); + circ.cx(boundary_high6, length_high6); + + toggle_controlled_subtraction_borrow_anf( + circ, + control, + length_high8, + None, + high7_borrow, + enabled, + dirty, + ); + circ.cx(control, enabled); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + borrow, + high6_borrow, + ); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); + return; + } + + if split_two_high_length { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + + assert!(borrowed); + assert!(scratch.len() >= 7); + assert_eq!(length.len() + 1, boundary.len()); + assert!(!length.is_empty()); + let boundary_low = &boundary[..length.len()]; + let boundary_high7 = &boundary[length.len()]; + let borrow = scratch[1]; + let high_borrow = scratch[2]; + let length_high7 = scratch[5]; + let length_high8 = scratch[6]; + let dirty = &length[0]; + for (index, lane) in scratch[..7].iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + + // v = br(a,g,u). The missing ninth boundary bit is the constant zero. + circ.cx(boundary_high7, high_borrow); + circ.cx(borrow, high_borrow); + circ.ccx(boundary_high7, borrow, high_borrow); + circ.ccx(length_high7, boundary_high7, high_borrow); + circ.ccx(length_high7, borrow, high_borrow); + + // U = br(h,0,v) = v XOR hv. + circ.cx(control, enabled); + circ.ccx(control, high_borrow, enabled); + mcx_dirty_any_k( + circ, + &[control, length_high8, high_borrow], + enabled, + dirty, + ); + + circ.cx(boundary_high7, length_high7); + circ.cx(borrow, length_high7); + circ.cx(high_borrow, length_high8); + for (difference_bit, output_bit) in length.iter().zip(&output[..length.len()]) { + circ.ccx(enabled, difference_bit, output_bit); + } + circ.ccx(enabled, length_high7, &output[length.len()]); + circ.ccx(enabled, length_high8, &output[length.len() + 1]); + circ.cx(high_borrow, length_high8); + circ.cx(borrow, length_high7); + circ.cx(boundary_high7, length_high7); + + mcx_dirty_any_k( + circ, + &[control, length_high8, high_borrow], + enabled, + dirty, + ); + circ.ccx(control, high_borrow, enabled); + circ.cx(control, enabled); + + circ.ccx(length_high7, borrow, high_borrow); + circ.ccx(length_high7, boundary_high7, high_borrow); + circ.ccx(boundary_high7, borrow, high_borrow); + circ.cx(borrow, high_borrow); + circ.cx(boundary_high7, high_borrow); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); + return; + } + + if split_mixed_length { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + + assert!(borrowed); + assert_eq!(length.len(), boundary.len()); + assert!(!length.is_empty()); + let borrow = scratch[1]; + let high = scratch[2]; + let dirty = &length[0]; + + // Write the low subtraction borrow into `borrow`. The full nine-bit + // difference has high bit `high XOR borrow`, while underflow is + // `borrow AND NOT high`. Materialize the enabled predicate in the + // restored carry with one restored dirty lender. + cuccaro_sub_mod_2n(circ, boundary, length, carry, borrow); + circ.cx(control, enabled); + circ.x(high); + mcx_dirty_any_k(circ, &[control, borrow, high], enabled, dirty); + circ.x(high); + + circ.cx(borrow, high); + for (difference_bit, output_bit) in + length.iter().zip(&output[..length.len()]) + { + circ.ccx(enabled, difference_bit, output_bit); + } + circ.ccx(enabled, high, &output[output.len() - 1]); + circ.cx(borrow, high); + + circ.x(high); + mcx_dirty_any_k(circ, &[control, borrow, high], enabled, dirty); + circ.x(high); + circ.cx(control, enabled); + cuccaro_add_mod_2n(circ, boundary, length, carry, borrow); + return; + } + + // The support theorem excludes 256, so the persistent unsigned boundary + // needs only eight lanes. The prefix scratch is clean again at this point; + // the opt-in route reuses one of those lanes as the ninth zero. + let scratch_extension = sub800_mixed_boundary_scratch_extension_requested(); + assert!( + !scratch_extension || borrowed, + "mixed-boundary scratch extension requires three disjoint clean lenders" + ); + let zero_extension_owned = + (!scratch_extension).then(|| circ.alloc_qreg("rs.l-r-prime.zero-extension")); + let zero_extension = if scratch_extension { + scratch[1] + } else { + zero_extension_owned + .as_ref() + .expect("owned mixed-boundary zero extension") + }; + let mut extended_boundary: Vec<&QReg> = boundary.iter().collect(); + extended_boundary.push(zero_extension); + for lane in scratch.iter().take(3) { + if !scratch_extension { + assert_ne!(lane.id(), zero_extension.id()); + } + } + let (low_length, sign) = if borrowed_underflow { + let sign = if scratch_extension { + scratch[2] + } else { + scratch[1] + }; + (length, sign) + } else { + let (low_length, sign_lane) = length.split_at(output.len()); + (low_length, &sign_lane[0]) + }; + cuccaro_sub_mod_2n_refs(circ, &extended_boundary, low_length, carry, sign); + circ.x(sign); + circ.ccx(control, sign, enabled); + for (difference_bit, output_bit) in low_length.iter().zip(output) { + circ.ccx(enabled, difference_bit, output_bit); + } + circ.ccx(control, sign, enabled); + circ.x(sign); + cuccaro_add_mod_2n_refs(circ, &extended_boundary, low_length, carry, sign); + drop(extended_boundary); + if let Some(zero_extension) = zero_extension_owned { + circ.zero_and_free(zero_extension); + } + + if let Some(enabled) = enabled_owned { + circ.zero_and_free(enabled); + } + if let Some(carry) = carry_owned { + circ.zero_and_free(carry); + } +} + +#[derive(Clone, Copy)] +enum SaturatingDifferenceBoundaryRoute { + Configured, + Materialized, + Inplace, +} + +fn assert_paired_bitlen_source_complement_preconditions( + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + output: &[QReg], + scratch: &[&QReg], + borrowed_zero_correction_carry: Option<&QReg>, +) { + use super::shrunken_pz_state_machine::lowq_fused_zero_prefix_bitlen_requested; + + assert!( + lowq_fused_zero_prefix_bitlen_requested(), + "paired source complement requires fused zero-prefix bit length" + ); + assert!( + source.len() > 1, + "paired source complement requires a source wider than one bit" + ); + for (index, source_lane) in source.iter().enumerate() { + assert!( + source[..index] + .iter() + .all(|other| other.id() != source_lane.id()), + "paired source-complement lane {index} aliases an earlier source lane" + ); + assert_ne!( + source_lane.id(), + control.id(), + "paired source-complement lane {index} aliases the control" + ); + assert!( + boundary + .iter() + .all(|other| other.id() != source_lane.id()), + "paired source-complement lane {index} aliases the boundary" + ); + assert!( + output + .iter() + .all(|other| other.id() != source_lane.id()), + "paired source-complement lane {index} aliases the output" + ); + assert!( + scratch + .iter() + .all(|other| other.id() != source_lane.id()), + "paired source-complement lane {index} aliases borrowed scratch" + ); + if let Some(carry) = borrowed_zero_correction_carry { + assert_ne!( + source_lane.id(), + carry.id(), + "paired source-complement lane {index} aliases the borrowed carry" + ); + } + } +} + +fn toggle_split_bit_length_high( + circ: &mut Circuit, + source: &[&QReg], + output_width: usize, + high: &QReg, + dirty: &QReg, + source_is_complemented: bool, +) { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + + assert!(output_width >= 2); + let threshold = 1usize << (output_width - 1); + if source.len() < threshold { + return; + } + let high_source = &source[threshold - 1..]; + assert!(!high_source.is_empty()); + assert!(high_source.iter().all(|lane| lane.id() != high.id())); + assert!(high_source.iter().all(|lane| lane.id() != dirty.id())); + assert_ne!(high.id(), dirty.id()); + + if !source_is_complemented { + for lane in high_source { + circ.x(lane); + } + } + circ.x(high); + mcx_dirty_any_k(circ, high_source, high, dirty); + if !source_is_complemented { + for lane in high_source { + circ.x(lane); + } + } +} + +fn toggle_split_bit_length_two_high( + circ: &mut Circuit, + source: &[&QReg], + high7: &QReg, + high8: &QReg, + scratch: &[&QReg], + source_is_complemented: bool, +) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_KG_SCRATCH_LEN; + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, KgPrefixAnd, + }; + + assert_eq!(source.len(), 259); + assert!(scratch.len() >= DIRECT_PREFIX_KG_SCRATCH_LEN + 2); + assert_ne!(high7.id(), high8.id()); + assert!(source.iter().all(|lane| lane.id() != high7.id())); + assert!(source.iter().all(|lane| lane.id() != high8.id())); + let anc = &scratch[..DIRECT_PREFIX_KG_SCRATCH_LEN]; + assert!(anc.iter().all(|lane| lane.id() != high7.id())); + assert!(anc.iter().all(|lane| lane.id() != high8.id())); + assert!(kg_prefix_ancilla_count(source.len()) <= anc.len()); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } + let qbits: Vec<&QReg> = source.iter().rev().copied().collect(); + let z128_prefix = source.len() - 127; + let z256_prefix = source.len() - 255; + + // B[7] = [B<128] XOR [B<256], while B[8] = 1 XOR [B<256]. + circ.x(high8); + let done = KgPrefixAnd::new(&qbits, anc).forward(circ, |_, _, _| {}); + done.reverse(circ, |circ, prefix_len, controls| { + let toggle = |circ: &mut Circuit, target: &QReg| match controls { + [control] => circ.cx(control, target), + [left, right] => circ.ccx(left, right, target), + _ => unreachable!("KG prefix controls must contain one or two qubits"), + }; + if prefix_len == z128_prefix { + toggle(circ, high7); + } + if prefix_len == z256_prefix { + toggle(circ, high7); + toggle(circ, high8); + } + }); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } +} + +fn toggle_split_bit_length_three_high( + circ: &mut Circuit, + source: &[&QReg], + high6: &QReg, + high7: &QReg, + high8: &QReg, + scratch: &[&QReg], + source_is_complemented: bool, +) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_KG_SCRATCH_LEN; + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, KgPrefixAnd, + }; + + const SOURCE_WIDTH: usize = 259; + const Z64_PREFIX_LEN: usize = 196; + const Z128_PREFIX_LEN: usize = 132; + const Z192_PREFIX_LEN: usize = 68; + const Z256_PREFIX_LEN: usize = 4; + + assert_eq!(source.len(), SOURCE_WIDTH); + assert!(scratch.len() >= DIRECT_PREFIX_KG_SCRATCH_LEN + 3); + assert_ne!(high6.id(), high7.id()); + assert_ne!(high6.id(), high8.id()); + assert_ne!(high7.id(), high8.id()); + for high in [high6, high7, high8] { + assert!(source.iter().all(|lane| lane.id() != high.id())); + } + let anc = &scratch[..DIRECT_PREFIX_KG_SCRATCH_LEN]; + for high in [high6, high7, high8] { + assert!(anc.iter().all(|lane| lane.id() != high.id())); + } + assert!(kg_prefix_ancilla_count(source.len()) <= anc.len()); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } + let qbits: Vec<&QReg> = source.iter().rev().copied().collect(); + + // b6=Z64^Z128^Z192^Z256, b7=Z128^Z256, b8=1^Z256. + circ.x(high8); + let done = KgPrefixAnd::new(&qbits, anc).forward(circ, |_, _, _| {}); + done.reverse(circ, |circ, prefix_len, controls| { + let toggle = |circ: &mut Circuit, target: &QReg| match controls { + [control] => circ.cx(control, target), + [left, right] => circ.ccx(left, right, target), + _ => unreachable!("KG prefix controls must contain one or two qubits"), + }; + match prefix_len { + Z64_PREFIX_LEN => toggle(circ, high6), + Z128_PREFIX_LEN => { + toggle(circ, high6); + toggle(circ, high7); + } + Z192_PREFIX_LEN => toggle(circ, high6), + Z256_PREFIX_LEN => { + toggle(circ, high6); + toggle(circ, high7); + toggle(circ, high8); + } + _ => {} + } + }); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } +} + +fn toggle_split_bit_length_four_high( + circ: &mut Circuit, + source: &[&QReg], + high5: &QReg, + high6: &QReg, + high7: &QReg, + high8: &QReg, + scratch: &[&QReg], + source_is_complemented: bool, +) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_KG_SCRATCH_LEN; + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, KgPrefixAnd, + }; + + const SOURCE_WIDTH: usize = 259; + const THRESHOLDS: [(usize, usize); 8] = [ + (32, 228), + (64, 196), + (96, 164), + (128, 132), + (160, 100), + (192, 68), + (224, 36), + (256, 4), + ]; + + assert_eq!(source.len(), SOURCE_WIDTH); + assert!(scratch.len() >= DIRECT_PREFIX_KG_SCRATCH_LEN + 4); + let highs = [high5, high6, high7, high8]; + for (index, high) in highs.iter().enumerate() { + assert!(highs[..index].iter().all(|other| other.id() != high.id())); + assert!(source.iter().all(|lane| lane.id() != high.id())); + } + let anc = &scratch[..DIRECT_PREFIX_KG_SCRATCH_LEN]; + for high in highs { + assert!(anc.iter().all(|lane| lane.id() != high.id())); + } + assert!(kg_prefix_ancilla_count(source.len()) <= anc.len()); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } + let qbits: Vec<&QReg> = source.iter().rev().copied().collect(); + circ.x(high8); + let done = KgPrefixAnd::new(&qbits, anc).forward(circ, |_, _, _| {}); + done.reverse(circ, |circ, prefix_len, controls| { + let toggle = |circ: &mut Circuit, target: &QReg| match controls { + [control] => circ.cx(control, target), + [left, right] => circ.ccx(left, right, target), + _ => unreachable!("KG prefix controls must contain one or two qubits"), + }; + let threshold = THRESHOLDS + .iter() + .find_map(|(threshold, length)| (*length == prefix_len).then_some(*threshold)); + if let Some(threshold) = threshold { + toggle(circ, high5); + if threshold % 64 == 0 { + toggle(circ, high6); + } + if threshold % 128 == 0 { + toggle(circ, high7); + } + if threshold == 256 { + toggle(circ, high8); + } + } + }); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } +} + +fn toggle_split_bit_length_five_high( + circ: &mut Circuit, + source: &[&QReg], + high4: &QReg, + high5: &QReg, + high6: &QReg, + high7: &QReg, + scratch: &[&QReg], + source_is_complemented: bool, +) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_KG_SCRATCH_LEN; + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, KgPrefixAnd, + }; + + const SOURCE_WIDTH: usize = 259; + assert_eq!(source.len(), SOURCE_WIDTH); + assert!(scratch.len() >= DIRECT_PREFIX_KG_SCRATCH_LEN + 4); + let highs = [high4, high5, high6, high7]; + for (index, high) in highs.iter().enumerate() { + assert!(highs[..index].iter().all(|other| other.id() != high.id())); + assert!(source.iter().all(|lane| lane.id() != high.id())); + } + let anc = &scratch[..DIRECT_PREFIX_KG_SCRATCH_LEN]; + for high in highs { + assert!(anc.iter().all(|lane| lane.id() != high.id())); + } + assert!(kg_prefix_ancilla_count(source.len()) <= anc.len()); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } + let qbits: Vec<&QReg> = source.iter().rev().copied().collect(); + let done = KgPrefixAnd::new(&qbits, anc).forward(circ, |_, _, _| {}); + done.reverse(circ, |circ, prefix_len, controls| { + let threshold = SOURCE_WIDTH + 1 - prefix_len; + if !(16..=256).contains(&threshold) || threshold % 16 != 0 { + return; + } + let toggle = |circ: &mut Circuit, target: &QReg| match controls { + [control] => circ.cx(control, target), + [left, right] => circ.ccx(left, right, target), + _ => unreachable!("KG prefix controls must contain one or two qubits"), + }; + + toggle(circ, high4); + if threshold % 32 == 0 { + toggle(circ, high5); + } + if threshold % 64 == 0 { + toggle(circ, high6); + } + if threshold % 128 == 0 { + toggle(circ, high7); + } + }); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } +} + +/// Eight-scratch companion to [`toggle_split_bit_length_five_high`]. The +/// `2^7` bit is reconstructed implicitly by the one-short subtraction kernel, +/// leaving only the `2^4`, `2^5`, and `2^6` bits materialized here. +fn toggle_split_bit_length_five_high_prefix3( + circ: &mut Circuit, + source: &[&QReg], + high4: &QReg, + high5: &QReg, + high6: &QReg, + scratch: &[&QReg], + source_is_complemented: bool, +) { + use super::shrunken_pz_state_machine::DIRECT_PREFIX_KG_SCRATCH_LEN; + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, KgPrefixAnd, + }; + + const SOURCE_WIDTH: usize = 259; + assert_eq!(source.len(), SOURCE_WIDTH); + assert!(scratch.len() >= DIRECT_PREFIX_KG_SCRATCH_LEN + 3); + let highs = [high4, high5, high6]; + for (index, high) in highs.iter().enumerate() { + assert!(highs[..index].iter().all(|other| other.id() != high.id())); + assert!(source.iter().all(|lane| lane.id() != high.id())); + } + let anc = &scratch[..DIRECT_PREFIX_KG_SCRATCH_LEN]; + for high in highs { + assert!(anc.iter().all(|lane| lane.id() != high.id())); + } + assert!(kg_prefix_ancilla_count(source.len()) <= anc.len()); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } + let qbits: Vec<&QReg> = source.iter().rev().copied().collect(); + let done = KgPrefixAnd::new(&qbits, anc).forward(circ, |_, _, _| {}); + done.reverse(circ, |circ, prefix_len, controls| { + let threshold = SOURCE_WIDTH + 1 - prefix_len; + if !(16..=256).contains(&threshold) || threshold % 16 != 0 { + return; + } + let toggle = |circ: &mut Circuit, target: &QReg| match controls { + [control] => circ.cx(control, target), + [left, right] => circ.ccx(left, right, target), + _ => unreachable!("KG prefix controls must contain one or two qubits"), + }; + + toggle(circ, high4); + if threshold % 32 == 0 { + toggle(circ, high5); + } + if threshold % 64 == 0 { + toggle(circ, high6); + } + }); + + if !source_is_complemented { + for lane in source { + circ.x(lane); + } + } +} + +fn toggle_with_z256_control_one_dirty( + circ: &mut Circuit, + source: &[&QReg], + extra_controls: &[&QReg], + target: &QReg, + dirty_candidates: &[&QReg], + source_is_complemented: bool, +) { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; + + assert_eq!(source.len(), 259); + let z256_lanes = &source[source.len() - 4..]; + assert!(z256_lanes.iter().all(|lane| lane.id() != target.id())); + assert!(extra_controls.iter().all(|lane| lane.id() != target.id())); + + if !source_is_complemented { + for lane in z256_lanes { + circ.x(lane); + } + } + let controls = extra_controls + .iter() + .copied() + .chain(z256_lanes.iter().copied()) + .collect::>(); + let mut dirty = Vec::with_capacity(controls.len().saturating_sub(2)); + for &candidate in dirty_candidates { + if candidate.id() == target.id() + || controls.iter().any(|control| control.id() == candidate.id()) + || dirty.iter().any(|other: &&QReg| other.id() == candidate.id()) + { + continue; + } + dirty.push(candidate); + if dirty.len() == controls.len().saturating_sub(2) { + break; + } + } + assert_eq!( + dirty.len(), + controls.len().saturating_sub(2), + "serial split-five dirty-ladder lender shortage" + ); + mcx_dirty_ladder(circ, &controls, target, &dirty); + if !source_is_complemented { + for lane in z256_lanes { + circ.x(lane); + } + } +} + +fn toggle_with_zero_suffix_control_dirty_ladder( + circ: &mut Circuit, + source: &[&QReg], + suffix_start: usize, + extra_controls: &[&QReg], + target: &QReg, + dirty_candidates: &[&QReg], + source_is_complemented: bool, +) { + assert!(suffix_start < source.len()); + let suffix = &source[suffix_start..]; + assert!(suffix.iter().all(|lane| lane.id() != target.id())); + assert!(extra_controls.iter().all(|lane| lane.id() != target.id())); + + if !source_is_complemented { + for lane in suffix { + circ.x(lane); + } + } + let controls = extra_controls + .iter() + .copied() + .chain(suffix.iter().copied()) + .collect::>(); + let mut dirty = Vec::with_capacity(controls.len().saturating_sub(2)); + for &candidate in dirty_candidates { + if candidate.id() == target.id() + || controls.iter().any(|control| control.id() == candidate.id()) + || dirty.iter().any(|other: &&QReg| other.id() == candidate.id()) + { + continue; + } + dirty.push(candidate); + if dirty.len() == controls.len().saturating_sub(2) { + break; + } + } + assert_eq!( + dirty.len(), + controls.len().saturating_sub(2), + "implicit high-bit dirty-ladder lender shortage" + ); + mcx_dirty_ladder(circ, &controls, target, &dirty); + if !source_is_complemented { + for lane in suffix { + circ.x(lane); + } + } +} + +/// For a 259-bit source, bit seven of its bit length is +/// `Z256 XOR Z128`, where `Zk` means that every source bit at position +/// `k-1` or above is zero. This toggles an arbitrary controlled product with +/// that implicit bit without allocating or materializing it. +fn toggle_with_implicit_bit_length_high7( + circ: &mut Circuit, + source: &[&QReg], + extra_controls: &[&QReg], + target: &QReg, + dirty_candidates: &[&QReg], + source_is_complemented: bool, +) { + assert_eq!(source.len(), 259); + toggle_with_z256_control_one_dirty( + circ, + source, + extra_controls, + target, + dirty_candidates, + source_is_complemented, + ); + toggle_with_zero_suffix_control_dirty_ladder( + circ, + source, + 127, + extra_controls, + target, + dirty_candidates, + source_is_complemented, + ); +} + +fn toggle_serial_split_five_enabled_product( + circ: &mut Circuit, + control: &QReg, + difference: &QReg, + source: &[&QReg], + boundary_high8: Option<&QReg>, + high7_borrow: &QReg, + target: &QReg, + dirty_candidates: &[&QReg], + source_is_complemented: bool, +) { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + let dirty = dirty_candidates[0]; + + // With z=Z256, x=b8=1^z, y=boundary[8], and b=borrow[7], + // br(x,y,b)=yb^zy^zb. Therefore c*!br*d is the XOR of the + // four terms below. Recompute them directly instead of materializing an + // enabled qubit. + circ.ccx(control, difference, target); + if let Some(boundary_high8) = boundary_high8 { + mcx_dirty_any_k( + circ, + &[control, difference, boundary_high8, high7_borrow], + target, + dirty, + ); + toggle_with_z256_control_one_dirty( + circ, + source, + &[control, difference, boundary_high8], + target, + dirty_candidates, + source_is_complemented, + ); + } + toggle_with_z256_control_one_dirty( + circ, + source, + &[control, difference, high7_borrow], + target, + dirty_candidates, + source_is_complemented, + ); +} + +fn toggle_subtraction_borrow_implicit_high7( + circ: &mut Circuit, + source: &[&QReg], + boundary_high7: &QReg, + incoming_borrow: &QReg, + target: &QReg, + dirty_candidates: &[&QReg], + source_is_complemented: bool, +) { + // br(h7,y,b) = y XOR b XOR yb XOR h7*y XOR h7*b. + circ.cx(boundary_high7, target); + circ.cx(incoming_borrow, target); + circ.ccx(boundary_high7, incoming_borrow, target); + circ.cx(boundary_high7, incoming_borrow); + toggle_with_implicit_bit_length_high7( + circ, + source, + &[incoming_borrow], + target, + dirty_candidates, + source_is_complemented, + ); + circ.cx(boundary_high7, incoming_borrow); +} + +fn toggle_serial_split_five_enabled_product_implicit_high7( + circ: &mut Circuit, + control: &QReg, + source: &[&QReg], + boundary_high8: Option<&QReg>, + high7_borrow: &QReg, + target: &QReg, + dirty_candidates: &[&QReg], + source_is_complemented: bool, +) { + // Since h7 implies Z256, the four ANF terms factor as + // h7*c*(1 XOR boundary_high8)*(1 XOR high7_borrow). + if let Some(boundary_high8) = boundary_high8 { + circ.x(boundary_high8); + circ.x(high7_borrow); + toggle_with_implicit_bit_length_high7( + circ, + source, + &[control, boundary_high8, high7_borrow], + target, + dirty_candidates, + source_is_complemented, + ); + circ.x(high7_borrow); + circ.x(boundary_high8); + } else { + circ.x(high7_borrow); + toggle_with_implicit_bit_length_high7( + circ, + source, + &[control, high7_borrow], + target, + dirty_candidates, + source_is_complemented, + ); + circ.x(high7_borrow); + } +} + +fn toggle_serial_split_five_high8_difference( + circ: &mut Circuit, + control: &QReg, + source: &[&QReg], + boundary_high8: Option<&QReg>, + high7_borrow: &QReg, + target: &QReg, + dirty_candidates: &[&QReg], + source_is_complemented: bool, +) { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_any_k; + let dirty = dirty_candidates[0]; + + // c*!br*d8 has ANF + // c(1^z^y^b^yb^zy^zb^zyb). The optional y terms vanish for the + // mixed-width boundary. + circ.cx(control, target); + toggle_with_z256_control_one_dirty( + circ, + source, + &[control], + target, + dirty_candidates, + source_is_complemented, + ); + circ.ccx(control, high7_borrow, target); + toggle_with_z256_control_one_dirty( + circ, + source, + &[control, high7_borrow], + target, + dirty_candidates, + source_is_complemented, + ); + if let Some(boundary_high8) = boundary_high8 { + circ.ccx(control, boundary_high8, target); + mcx_dirty_any_k( + circ, + &[control, boundary_high8, high7_borrow], + target, + dirty, + ); + toggle_with_z256_control_one_dirty( + circ, + source, + &[control, boundary_high8], + target, + dirty_candidates, + source_is_complemented, + ); + toggle_with_z256_control_one_dirty( + circ, + source, + &[control, boundary_high8, high7_borrow], + target, + dirty_candidates, + source_is_complemented, + ); + } +} + +fn controlled_xor_saturating_difference_serial_split_five( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + length: &[QReg], + output: &[QReg], + scratch: &[&QReg], + source_is_complemented: bool, +) { + assert_eq!(source.len(), 259); + assert!(!length.is_empty()); + assert_eq!(output.len(), length.len() + 5); + assert!(boundary.len() == output.len() - 1 || boundary.len() == output.len()); + assert!(scratch.len() >= 9); + + let boundary_low = &boundary[..length.len()]; + let boundary_high4 = &boundary[length.len()]; + let boundary_high5 = &boundary[length.len() + 1]; + let boundary_high6 = &boundary[length.len() + 2]; + let boundary_high7 = &boundary[length.len() + 3]; + let boundary_high8 = boundary.get(length.len() + 4); + let carry = scratch[0]; + let borrow = scratch[1]; + let high4_borrow = scratch[2]; + let high5_borrow = scratch[3]; + let high6_borrow = scratch[4]; + let length_high4 = scratch[5]; + let length_high5 = scratch[6]; + let length_high6 = scratch[7]; + let length_high7 = scratch[8]; + let high7_borrow = carry; + let dirty = source[0]; + let dirty_candidates = std::iter::once(dirty) + .chain(scratch.iter().copied()) + .collect::>(); + + for (index, lane) in scratch[..9].iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + assert_ne!(dirty.id(), control.id()); + assert!(boundary.iter().all(|lane| lane.id() != dirty.id())); + assert!(output.iter().all(|lane| lane.id() != dirty.id())); + assert!(length.iter().all(|lane| lane.id() != dirty.id())); + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + toggle_subtraction_borrow_anf(circ, length_high4, boundary_high4, borrow, high4_borrow); + toggle_subtraction_borrow_anf( + circ, + length_high5, + boundary_high5, + high4_borrow, + high5_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + + for (high, boundary_high, incoming) in [ + (length_high4, boundary_high4, borrow), + (length_high5, boundary_high5, high4_borrow), + (length_high6, boundary_high6, high5_borrow), + (length_high7, boundary_high7, high6_borrow), + ] { + circ.cx(boundary_high, high); + circ.cx(incoming, high); + } + for (difference, target) in length.iter().zip(&output[..length.len()]) { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + target, + &dirty_candidates, + source_is_complemented, + ); + } + for (offset, difference) in + [length_high4, length_high5, length_high6, length_high7] + .into_iter() + .enumerate() + { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + &output[length.len() + offset], + &dirty_candidates, + source_is_complemented, + ); + } + toggle_serial_split_five_high8_difference( + circ, + control, + source, + boundary_high8, + high7_borrow, + &output[output.len() - 1], + &dirty_candidates, + source_is_complemented, + ); + for (high, boundary_high, incoming) in [ + (length_high7, boundary_high7, high6_borrow), + (length_high6, boundary_high6, high5_borrow), + (length_high5, boundary_high5, high4_borrow), + (length_high4, boundary_high4, borrow), + ] { + circ.cx(incoming, high); + circ.cx(boundary_high, high); + } + + toggle_subtraction_borrow_anf( + circ, + length_high7, + boundary_high7, + high6_borrow, + high7_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high5, + boundary_high5, + high4_borrow, + high5_borrow, + ); + toggle_subtraction_borrow_anf(circ, length_high4, boundary_high4, borrow, high4_borrow); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); +} + +fn controlled_xor_saturating_difference_serial_split_five_one_short( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + length: &[QReg], + output: &[QReg], + scratch: &[&QReg], + source_is_complemented: bool, +) { + assert_eq!(source.len(), 259); + assert_eq!(length.len(), 4); + assert_eq!(output.len(), length.len() + 5); + assert!(boundary.len() == output.len() - 1 || boundary.len() == output.len()); + assert_eq!(scratch.len(), 8); + + let boundary_low = &boundary[..length.len()]; + let boundary_high4 = &boundary[length.len()]; + let boundary_high5 = &boundary[length.len() + 1]; + let boundary_high6 = &boundary[length.len() + 2]; + let boundary_high7 = &boundary[length.len() + 3]; + let boundary_high8 = boundary.get(length.len() + 4); + let carry = scratch[0]; + let borrow = scratch[1]; + let high4_borrow = scratch[2]; + let high5_borrow = scratch[3]; + let high6_borrow = scratch[4]; + let length_high4 = scratch[5]; + let length_high5 = scratch[6]; + let length_high6 = scratch[7]; + let high7_borrow = carry; + let dirty_candidates = source[..127] + .iter() + .copied() + .chain(scratch.iter().copied()) + .collect::>(); + + for (index, lane) in scratch.iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + toggle_subtraction_borrow_anf(circ, length_high4, boundary_high4, borrow, high4_borrow); + toggle_subtraction_borrow_anf( + circ, + length_high5, + boundary_high5, + high4_borrow, + high5_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_implicit_high7( + circ, + source, + boundary_high7, + high6_borrow, + high7_borrow, + &dirty_candidates, + source_is_complemented, + ); + + for (high, boundary_high, incoming) in [ + (length_high4, boundary_high4, borrow), + (length_high5, boundary_high5, high4_borrow), + (length_high6, boundary_high6, high5_borrow), + ] { + circ.cx(boundary_high, high); + circ.cx(incoming, high); + } + for (difference, target) in length.iter().zip(&output[..length.len()]) { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + target, + &dirty_candidates, + source_is_complemented, + ); + } + for (offset, difference) in [length_high4, length_high5, length_high6] + .into_iter() + .enumerate() + { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + &output[length.len() + offset], + &dirty_candidates, + source_is_complemented, + ); + } + let high7_target = &output[length.len() + 3]; + toggle_serial_split_five_enabled_product_implicit_high7( + circ, + control, + source, + boundary_high8, + high7_borrow, + high7_target, + &dirty_candidates, + source_is_complemented, + ); + for difference in [boundary_high7, high6_borrow] { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + high7_target, + &dirty_candidates, + source_is_complemented, + ); + } + toggle_serial_split_five_high8_difference( + circ, + control, + source, + boundary_high8, + high7_borrow, + &output[output.len() - 1], + &dirty_candidates, + source_is_complemented, + ); + + for (high, boundary_high, incoming) in [ + (length_high6, boundary_high6, high5_borrow), + (length_high5, boundary_high5, high4_borrow), + (length_high4, boundary_high4, borrow), + ] { + circ.cx(incoming, high); + circ.cx(boundary_high, high); + } + toggle_subtraction_borrow_implicit_high7( + circ, + source, + boundary_high7, + high6_borrow, + high7_borrow, + &dirty_candidates, + source_is_complemented, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high5, + boundary_high5, + high4_borrow, + high5_borrow, + ); + toggle_subtraction_borrow_anf(circ, length_high4, boundary_high4, borrow, high4_borrow); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); +} + +fn controlled_xor_saturating_difference_serial_split_five_one_short_truncated_high( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + length: &[QReg], + output: &[QReg], + scratch: &[&QReg], + source_is_complemented: bool, +) { + assert_eq!(source.len(), 259); + assert_eq!(length.len(), 4); + assert_eq!(output.len(), length.len() + 4); + assert_eq!(boundary.len(), output.len() + 1); + assert_eq!(scratch.len(), 8); + + let boundary_low = &boundary[..length.len()]; + let boundary_high4 = &boundary[length.len()]; + let boundary_high5 = &boundary[length.len() + 1]; + let boundary_high6 = &boundary[length.len() + 2]; + let boundary_high7 = &boundary[length.len() + 3]; + let boundary_high8 = Some(&boundary[length.len() + 4]); + let carry = scratch[0]; + let borrow = scratch[1]; + let high4_borrow = scratch[2]; + let high5_borrow = scratch[3]; + let high6_borrow = scratch[4]; + let length_high4 = scratch[5]; + let length_high5 = scratch[6]; + let length_high6 = scratch[7]; + let high7_borrow = carry; + let dirty_candidates = source[..127] + .iter() + .copied() + .chain(scratch.iter().copied()) + .collect::>(); + + for (index, lane) in scratch.iter().enumerate() { + assert!(scratch[..index].iter().all(|other| other.id() != lane.id())); + assert_ne!(lane.id(), control.id()); + assert!(boundary.iter().all(|other| other.id() != lane.id())); + assert!(source.iter().all(|other| other.id() != lane.id())); + assert!(output.iter().all(|other| other.id() != lane.id())); + assert!(length.iter().all(|other| other.id() != lane.id())); + } + + cuccaro_sub_mod_2n(circ, boundary_low, length, carry, borrow); + toggle_subtraction_borrow_anf(circ, length_high4, boundary_high4, borrow, high4_borrow); + toggle_subtraction_borrow_anf( + circ, + length_high5, + boundary_high5, + high4_borrow, + high5_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_implicit_high7( + circ, + source, + boundary_high7, + high6_borrow, + high7_borrow, + &dirty_candidates, + source_is_complemented, + ); + + for (high, boundary_high, incoming) in [ + (length_high4, boundary_high4, borrow), + (length_high5, boundary_high5, high4_borrow), + (length_high6, boundary_high6, high5_borrow), + ] { + circ.cx(boundary_high, high); + circ.cx(incoming, high); + } + for (difference, target) in length.iter().zip(&output[..length.len()]) { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + target, + &dirty_candidates, + source_is_complemented, + ); + } + for (offset, difference) in [length_high4, length_high5, length_high6] + .into_iter() + .enumerate() + { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + &output[length.len() + offset], + &dirty_candidates, + source_is_complemented, + ); + } + let high7_target = &output[length.len() + 3]; + toggle_serial_split_five_enabled_product_implicit_high7( + circ, + control, + source, + boundary_high8, + high7_borrow, + high7_target, + &dirty_candidates, + source_is_complemented, + ); + for difference in [boundary_high7, high6_borrow] { + toggle_serial_split_five_enabled_product( + circ, + control, + difference, + source, + boundary_high8, + high7_borrow, + high7_target, + &dirty_candidates, + source_is_complemented, + ); + } + + for (high, boundary_high, incoming) in [ + (length_high6, boundary_high6, high5_borrow), + (length_high5, boundary_high5, high4_borrow), + (length_high4, boundary_high4, borrow), + ] { + circ.cx(incoming, high); + circ.cx(boundary_high, high); + } + toggle_subtraction_borrow_implicit_high7( + circ, + source, + boundary_high7, + high6_borrow, + high7_borrow, + &dirty_candidates, + source_is_complemented, + ); + toggle_subtraction_borrow_anf( + circ, + length_high6, + boundary_high6, + high5_borrow, + high6_borrow, + ); + toggle_subtraction_borrow_anf( + circ, + length_high5, + boundary_high5, + high4_borrow, + high5_borrow, + ); + toggle_subtraction_borrow_anf(circ, length_high4, boundary_high4, borrow, high4_borrow); + cuccaro_add_mod_2n(circ, boundary_low, length, carry, borrow); +} + +fn controlled_xor_saturating_bit_length_difference_serial_split_five_truncated_high( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + output: &[QReg], + scratch: &[&QReg], +) { + assert!(sub800_borrowed_rotated_underflow_requested()); + assert!(q827_serial_split_five_requested()); + assert_eq!(source.len(), 259); + assert_eq!(output.len(), 8); + assert_eq!(boundary.len(), output.len() + 1); + assert_eq!(scratch.len(), 8); + + let paired_source_complement = paired_bitlen_source_complement_requested(); + if paired_source_complement { + assert_paired_bitlen_source_complement_preconditions( + control, + boundary, + source, + output, + scratch, + None, + ); + for lane in source { + circ.x(lane); + } + } + + let length = circ.alloc_qreg_bits("rs.rotated-bitlen.length", 4); + bit_length_lean_allow_zero_with_borrowed_scratch_split_five_high( + circ, + source, + &length, + false, + None, + scratch, + paired_source_complement, + ); + toggle_split_bit_length_five_high_prefix3( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch, + paired_source_complement, + ); + controlled_xor_saturating_difference_serial_split_five_one_short_truncated_high( + circ, + control, + boundary, + source, + &length, + output, + scratch, + paired_source_complement, + ); + toggle_split_bit_length_five_high_prefix3( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch, + paired_source_complement, + ); + bit_length_lean_allow_zero_with_borrowed_scratch_split_five_high( + circ, + source, + &length, + true, + None, + scratch, + paired_source_complement, + ); + if paired_source_complement { + for lane in source { + circ.x(lane); + } + } + for lane in length { + circ.zero_and_free(lane); + } +} + +fn controlled_xor_saturating_bit_length_difference_with_route( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + output: &[QReg], + scratch: &[&QReg], + borrowed_zero_correction_carry: Option<&QReg>, + route: SaturatingDifferenceBoundaryRoute, +) { + assert!(boundary.len() == output.len() || boundary.len() + 1 == output.len()); + assert!(!output.is_empty()); + let signed_width = output.len() + 1; + assert!( + source.len() <= (1usize << (signed_width - 1)) - 1, + "signed bit-length workspace is too narrow" + ); + let inplace = match route { + SaturatingDifferenceBoundaryRoute::Configured => { + inplace_rotated_bitlen_boundary_requested() + } + SaturatingDifferenceBoundaryRoute::Materialized => false, + SaturatingDifferenceBoundaryRoute::Inplace => true, + }; + let borrowed_underflow = inplace && sub800_borrowed_rotated_underflow_requested(); + let production_split_shape = source.len() == 259 && output.len() == 9; + let serial_split_five = borrowed_underflow + && q827_serial_split_five_requested() + && production_split_shape; + let one_short_serial_split_five = + serial_split_five && scratch.len() == 8 && q825_seven_bit_l_q_requested(); + let split_four_high_length = !serial_split_five + && borrowed_underflow + && sub800_split_four_high_rotated_length_requested() + && production_split_shape; + let split_three_high_length = !serial_split_five + && !split_four_high_length + && borrowed_underflow + && sub800_split_three_high_rotated_length_requested() + && production_split_shape; + let split_two_high_length = !serial_split_five + && !split_four_high_length + && !split_three_high_length + && borrowed_underflow + && sub800_split_two_high_rotated_length_requested() + && production_split_shape; + let split_mixed_length = !serial_split_five + && !split_four_high_length + && !split_three_high_length + && !split_two_high_length + && borrowed_underflow + && boundary.len() + 1 == output.len() + && sub800_split_mixed_rotated_length_requested(); + let split_same_length = !serial_split_five + && !split_four_high_length + && !split_three_high_length + && !split_two_high_length + && borrowed_underflow + && boundary.len() == output.len() + && sub800_split_same_rotated_length_requested(); + let split_length = serial_split_five + || split_four_high_length + || split_three_high_length + || split_two_high_length + || split_mixed_length + || split_same_length; + if serial_split_five { + if boundary.len() == output.len() { + Q827_SERIAL_SPLIT_FIVE_SAME_CALLS.fetch_add(1, Ordering::Relaxed); + } else { + assert_eq!(boundary.len() + 1, output.len()); + Q827_SERIAL_SPLIT_FIVE_MIXED_CALLS.fetch_add(1, Ordering::Relaxed); + } + } else if split_four_high_length { + if boundary.len() == output.len() { + SUB800_Q838_SPLIT_FOUR_SAME_CALLS.fetch_add(1, Ordering::Relaxed); + } else { + assert_eq!(boundary.len() + 1, output.len()); + SUB800_Q838_SPLIT_FOUR_MIXED_CALLS.fetch_add(1, Ordering::Relaxed); + } + } else if split_three_high_length { + if boundary.len() == output.len() { + SUB800_Q839_SPLIT_THREE_SAME_CALLS.fetch_add(1, Ordering::Relaxed); + } else { + assert_eq!(boundary.len() + 1, output.len()); + SUB800_Q839_SPLIT_THREE_MIXED_CALLS.fetch_add(1, Ordering::Relaxed); + } + } + assert!( + !borrowed_underflow || scratch.len() >= 3, + "borrowed rotated underflow requires three clean scratch lanes" + ); + assert!( + !split_length || output.len() >= 2, + "split rotated length requires at least two output lanes" + ); + assert!( + !serial_split_five + || (signed_width == 10 + && (scratch.len() >= 9 || one_short_serial_split_five) + && production_split_shape), + "serial split-five requires signed width ten, eight or nine route-qualified scratch lanes, and a 259-bit source" + ); + assert!( + !split_four_high_length + || (signed_width == 10 && scratch.len() >= 9 && production_split_shape), + "split-four-high rotated length requires signed width ten, nine scratch lanes, and a 259-bit source" + ); + assert!( + !split_three_high_length + || (signed_width == 10 && scratch.len() >= 8 && production_split_shape), + "split-three-high rotated length requires signed width ten, eight scratch lanes, and a 259-bit source" + ); + assert!( + !split_two_high_length + || (scratch.len() >= 7 && production_split_shape), + "split-two-high rotated length requires nine output lanes, seven scratch lanes, and a 259-bit source" + ); + let omitted_split_bits = if serial_split_five { + 5 + } else if split_four_high_length { + 4 + } else if split_three_high_length { + 3 + } else if split_two_high_length { + 2 + } else { + usize::from(split_length) + }; + let length_width = signed_width - usize::from(borrowed_underflow) - omitted_split_bits; + + // Baseline is X_S K_add X_S V X_S K_sub X_S. The intervening USE block + // V is source-disjoint, so the middle X_S pair commutes through V and + // cancels. Keep S complemented across the pair and emit only the outer + // brackets: X_S K_add V K_sub X_S. + let paired_source_complement = paired_bitlen_source_complement_requested(); + if paired_source_complement { + assert_paired_bitlen_source_complement_preconditions( + control, + boundary, + source, + output, + scratch, + borrowed_zero_correction_carry, + ); + for lane in source { + circ.x(lane); + } + } + + let length = circ.alloc_qreg_bits("rs.rotated-bitlen.length", length_width); + if serial_split_five { + bit_length_lean_allow_zero_with_borrowed_scratch_split_five_high( + circ, + source, + &length, + false, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + } else if split_four_high_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_four_high( + circ, + source, + &length, + false, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + } else if split_three_high_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_three_high( + circ, + source, + &length, + false, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + } else if split_two_high_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_two_high( + circ, + source, + &length, + false, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + } else if split_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_high( + circ, + source, + &length, + false, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + } else if paired_source_complement { + bit_length_lean_allow_zero_with_borrowed_scratch_complemented_source( + circ, + source, + &length, + false, + borrowed_zero_correction_carry, + scratch, + ); + } else { + bit_length_lean_allow_zero_with_borrowed_scratch( + circ, + source, + &length, + false, + borrowed_zero_correction_carry, + scratch, + ); + } + if one_short_serial_split_five { + toggle_split_bit_length_five_high_prefix3( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch, + paired_source_complement, + ); + } else if serial_split_five { + toggle_split_bit_length_five_high( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch[8], + scratch, + paired_source_complement, + ); + } else if split_four_high_length { + toggle_split_bit_length_four_high( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch[8], + scratch, + paired_source_complement, + ); + } else if split_three_high_length { + toggle_split_bit_length_three_high( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch, + paired_source_complement, + ); + } else if split_two_high_length { + toggle_split_bit_length_two_high( + circ, + source, + scratch[5], + scratch[6], + scratch, + paired_source_complement, + ); + } else if split_length { + toggle_split_bit_length_high( + circ, + source, + output.len(), + scratch[2], + source[0], + paired_source_complement, + ); + } + + if one_short_serial_split_five { + controlled_xor_saturating_difference_serial_split_five_one_short( + circ, + control, + boundary, + source, + &length, + output, + scratch, + paired_source_complement, + ); + } else if serial_split_five { + controlled_xor_saturating_difference_serial_split_five( + circ, + control, + boundary, + source, + &length, + output, + scratch, + paired_source_complement, + ); + } else if inplace { + if boundary.len() == output.len() { + controlled_xor_saturating_difference_inplace_boundary( + circ, control, boundary, source, &length, output, scratch, + ); + } else { + controlled_xor_saturating_difference_inplace_mixed_boundary( + circ, control, boundary, source, &length, output, scratch, + ); + } + } else { + controlled_xor_saturating_difference_materialized_boundary( + circ, control, boundary, source, &length, output, scratch, + ); + } + + if one_short_serial_split_five { + toggle_split_bit_length_five_high_prefix3( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch, + paired_source_complement, + ); + } else if serial_split_five { + toggle_split_bit_length_five_high( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch[8], + scratch, + paired_source_complement, + ); + } else if split_four_high_length { + toggle_split_bit_length_four_high( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch[8], + scratch, + paired_source_complement, + ); + } else if split_three_high_length { + toggle_split_bit_length_three_high( + circ, + source, + scratch[5], + scratch[6], + scratch[7], + scratch, + paired_source_complement, + ); + } else if split_two_high_length { + toggle_split_bit_length_two_high( + circ, + source, + scratch[5], + scratch[6], + scratch, + paired_source_complement, + ); + } else if split_length { + toggle_split_bit_length_high( + circ, + source, + output.len(), + scratch[2], + source[0], + paired_source_complement, + ); + } + if serial_split_five { + bit_length_lean_allow_zero_with_borrowed_scratch_split_five_high( + circ, + source, + &length, + true, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + if paired_source_complement { + for lane in source { + circ.x(lane); + } + } + } else if split_four_high_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_four_high( + circ, + source, + &length, + true, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + if paired_source_complement { + for lane in source { + circ.x(lane); + } + } + } else if split_three_high_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_three_high( + circ, + source, + &length, + true, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + if paired_source_complement { + for lane in source { + circ.x(lane); + } + } + } else if split_two_high_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_two_high( + circ, + source, + &length, + true, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + if paired_source_complement { + for lane in source { + circ.x(lane); + } + } + } else if split_length { + bit_length_lean_allow_zero_with_borrowed_scratch_split_high( + circ, + source, + &length, + true, + borrowed_zero_correction_carry, + scratch, + paired_source_complement, + ); + if paired_source_complement { + for lane in source { + circ.x(lane); + } + } + } else if paired_source_complement { + bit_length_lean_allow_zero_with_borrowed_scratch_complemented_source( + circ, + source, + &length, + true, + borrowed_zero_correction_carry, + scratch, + ); + for lane in source { + circ.x(lane); + } + } else { + bit_length_lean_allow_zero_with_borrowed_scratch( + circ, + source, + &length, + true, + borrowed_zero_correction_carry, + scratch, + ); + } + for lane in length { + circ.zero_and_free(lane); + } +} + +fn controlled_xor_saturating_bit_length_difference( + circ: &mut Circuit, + control: &QReg, + boundary: &[QReg], + source: &[&QReg], + output: &[QReg], + scratch: &[&QReg], + borrowed_zero_correction_carry: Option<&QReg>, +) { + controlled_xor_saturating_bit_length_difference_with_route( + circ, + control, + boundary, + source, + output, + scratch, + borrowed_zero_correction_carry, + SaturatingDifferenceBoundaryRoute::Configured, + ); +} + +/// The rightmost `right_length` lanes contain the packed `r'` component. +/// Rotating them to the low end places `t'` immediately above that boundary, +/// so a single full-register bit length reveals `right_length + bitlen(t')` +/// whenever `t'` is nonzero. Saturation maps the zero case to zero exactly. +fn controlled_xor_rotated_prefix_bit_length( + circ: &mut Circuit, + control: &QReg, + right_length: &[QReg], + work: &[QReg], + output: &[QReg], + scratch: &[QReg], + borrowed_prefix_scratch: &[&QReg], +) { + assert!(borrowed_prefix_scratch.len() <= 2); + for lender in borrowed_prefix_scratch { + assert_ne!(lender.id(), control.id()); + assert!(right_length.iter().all(|lane| lane.id() != lender.id())); + assert!(work.iter().all(|lane| lane.id() != lender.id())); + assert!(output.iter().all(|lane| lane.id() != lender.id())); + assert!(scratch.iter().all(|lane| lane.id() != lender.id())); + } + let view: Vec<&QReg> = work.iter().collect(); + let scratch_refs: Vec<&QReg> = scratch + .iter() + .chain(borrowed_prefix_scratch.iter().copied()) + .collect(); + variable_rotate_high_refs(circ, right_length, &view); + controlled_xor_saturating_bit_length_difference( + circ, + control, + right_length, + &view, + output, + &scratch_refs, + None, + ); + variable_rotate_low_refs(circ, right_length, &view); +} + +#[allow(clippy::too_many_arguments)] +fn controlled_xor_rotated_prefix_with_predicate_lenders( + circ: &mut Circuit, + zero_q: &QReg, + zero_s: &QReg, + control: &QReg, + l_q: &[QReg], + l_s: &[QReg], + right_length: &[QReg], + work: &[QReg], + output: &[QReg], + scratch: &[QReg], +) { + assert!(scratch.len() >= l_q.len().saturating_sub(2)); + circ.ccx(zero_q, zero_s, control); + uncompute_zero(circ, l_s, zero_s, scratch); + uncompute_zero(circ, l_q, zero_q, scratch); + controlled_xor_rotated_prefix_bit_length( + circ, + control, + right_length, + work, + output, + scratch, + &[zero_q, zero_s], + ); + compute_zero(circ, l_q, zero_q, scratch); + compute_zero(circ, l_s, zero_s, scratch); + circ.ccx(zero_q, zero_s, control); +} + +/// XOR the raw `t'` bit length into `output` while Work2 is in its shifted +/// coefficient-update layout. The physical rotation includes `l_s`, but the +/// packed remainder boundary does not, so those two lengths are intentionally +/// distinct. +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum RawTPrimeRotationLifetime { + Continuous, + Split, +} + +fn controlled_xor_raw_t_prime_bit_length_allocated_with_lifetime( + circ: &mut Circuit, + control: &QReg, + l_s: &[QReg], + l_r_prime: &[QReg], + work2: &[QReg], + output: &[QReg], + lifetime: RawTPrimeRotationLifetime, +) { + assert_eq!(l_s.len(), output.len()); + assert_l_r_prime_metadata_width(l_s.len(), l_r_prime.len()); + let mut rotation = Some(circ.alloc_qreg_bits("rs.raw-t-prime.rotation", output.len())); + for (source, destination) in l_r_prime + .iter() + .zip(rotation.as_ref().expect("live raw rotation")) + { + circ.cx(source, destination); + } + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + raw_rotation_carry_allocations: 1, + raw_rotation_overflow_allocations: 1, + ..RawBitLengthAllocationTrace::default() + }); + let carry = circ.alloc_qreg("rs.raw-t-prime.rotation-carry"); + let overflow = circ.alloc_qreg("rs.raw-t-prime.rotation-overflow"); + cuccaro_add_mod_2n( + circ, + l_s, + rotation.as_ref().expect("live raw rotation"), + &carry, + &overflow, + ); + + let view: Vec<&QReg> = work2.iter().collect(); + variable_rotate_high_refs(circ, rotation.as_ref().expect("live raw rotation"), &view); + if lifetime == RawTPrimeRotationLifetime::Split { + let released = rotation.take().expect("split raw rotation release"); + cuccaro_sub_mod_2n(circ, l_s, &released, &carry, &overflow); + for (source, destination) in l_r_prime.iter().zip(&released) { + circ.cx(source, destination); + } + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + raw_rotation_split_releases: 1, + raw_rotation_lanes_released: released.len(), + ..RawBitLengthAllocationTrace::default() + }); + free_clean(circ, released); + } + controlled_xor_saturating_bit_length_difference( + circ, + control, + l_r_prime, + &view, + output, + &[], + None, + ); + if lifetime == RawTPrimeRotationLifetime::Split { + let recomputed = circ.alloc_qreg_bits("rs.raw-t-prime.rotation", output.len()); + for (source, destination) in l_r_prime.iter().zip(&recomputed) { + circ.cx(source, destination); + } + cuccaro_add_mod_2n(circ, l_s, &recomputed, &carry, &overflow); + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + raw_rotation_split_recomputes: 1, + ..RawBitLengthAllocationTrace::default() + }); + rotation = Some(recomputed); + } + variable_rotate_low_refs(circ, rotation.as_ref().expect("live raw rotation"), &view); + + let rotation = rotation.take().expect("final raw rotation release"); + cuccaro_sub_mod_2n(circ, l_s, &rotation, &carry, &overflow); + circ.zero_and_free(overflow); + circ.zero_and_free(carry); + for (source, destination) in l_r_prime.iter().zip(&rotation) { + circ.cx(source, destination); + } + free_clean(circ, rotation); +} + +fn controlled_xor_raw_t_prime_bit_length_allocated( + circ: &mut Circuit, + control: &QReg, + l_s: &[QReg], + l_r_prime: &[QReg], + work2: &[QReg], + output: &[QReg], +) { + controlled_xor_raw_t_prime_bit_length_allocated_with_lifetime( + circ, + control, + l_s, + l_r_prime, + work2, + output, + RawTPrimeRotationLifetime::Continuous, + ); +} + +fn assert_coefficient_raw_bitlen_loan_preconditions( + control: &QReg, + l_s: &[QReg], + l_r_prime: &[QReg], + work2: &[QReg], + output: &[QReg], + coefficient_chain: &[QReg], +) { + assert_eq!(l_s.len(), output.len()); + assert_l_r_prime_metadata_width(l_s.len(), l_r_prime.len()); + assert!(!output.is_empty()); + assert_eq!( + coefficient_chain.len(), + 2, + "coefficient raw bit-length loan requires exactly two chain lanes" + ); + + let mut ids = Vec::with_capacity( + 1 + l_s.len() + l_r_prime.len() + work2.len() + output.len() + coefficient_chain.len(), + ); + for (index, lane) in std::iter::once(control) + .chain(l_s) + .chain(l_r_prime) + .chain(work2) + .chain(output) + .chain(coefficient_chain) + .enumerate() + { + assert!( + !ids.contains(&lane.id()), + "coefficient raw bit-length loan lane {index} aliases an operand or lender" + ); + ids.push(lane.id()); + } +} + +fn controlled_xor_raw_t_prime_bit_length_loaned_with_lifetime( + circ: &mut Circuit, + control: &QReg, + l_s: &[QReg], + l_r_prime: &[QReg], + work2: &[QReg], + output: &[QReg], + coefficient_chain: &[QReg], + lifetime: RawTPrimeRotationLifetime, +) { + assert_coefficient_raw_bitlen_loan_preconditions( + control, + l_s, + l_r_prime, + work2, + output, + coefficient_chain, + ); + let mut rotation = Some(circ.alloc_qreg_bits("rs.raw-t-prime.rotation", output.len())); + for (source, destination) in l_r_prime + .iter() + .zip(rotation.as_ref().expect("live raw rotation")) + { + circ.cx(source, destination); + } + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + raw_rotation_carry_allocations: 1, + ..RawBitLengthAllocationTrace::default() + }); + let carry = circ.alloc_qreg("rs.raw-t-prime.rotation-carry"); + cuccaro_add_mod_2n_no_overflow( + circ, + l_s, + rotation.as_ref().expect("live raw rotation"), + &carry, + ); + + let view: Vec<&QReg> = work2.iter().collect(); + let inner_scratch = vec![&coefficient_chain[0], &coefficient_chain[1], &carry]; + variable_rotate_high_refs(circ, rotation.as_ref().expect("live raw rotation"), &view); + if lifetime == RawTPrimeRotationLifetime::Split { + let released = rotation.take().expect("split raw rotation release"); + cuccaro_sub_mod_2n_no_overflow(circ, l_s, &released, &carry); + for (source, destination) in l_r_prime.iter().zip(&released) { + circ.cx(source, destination); + } + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + raw_rotation_split_releases: 1, + raw_rotation_lanes_released: released.len(), + ..RawBitLengthAllocationTrace::default() + }); + free_clean(circ, released); + } + controlled_xor_saturating_bit_length_difference( + circ, + control, + l_r_prime, + &view, + output, + &inner_scratch, + Some(&carry), + ); + if lifetime == RawTPrimeRotationLifetime::Split { + let recomputed = circ.alloc_qreg_bits("rs.raw-t-prime.rotation", output.len()); + for (source, destination) in l_r_prime.iter().zip(&recomputed) { + circ.cx(source, destination); + } + cuccaro_add_mod_2n_no_overflow(circ, l_s, &recomputed, &carry); + trace_raw_bit_length_allocations(RawBitLengthAllocationTrace { + raw_rotation_split_recomputes: 1, + ..RawBitLengthAllocationTrace::default() + }); + rotation = Some(recomputed); + } + variable_rotate_low_refs(circ, rotation.as_ref().expect("live raw rotation"), &view); + + let rotation = rotation.take().expect("final raw rotation release"); + cuccaro_sub_mod_2n_no_overflow(circ, l_s, &rotation, &carry); + drop(inner_scratch); + circ.zero_and_free(carry); + for (source, destination) in l_r_prime.iter().zip(&rotation) { + circ.cx(source, destination); + } + free_clean(circ, rotation); +} + +fn controlled_xor_raw_t_prime_bit_length_loaned( + circ: &mut Circuit, + control: &QReg, + l_s: &[QReg], + l_r_prime: &[QReg], + work2: &[QReg], + output: &[QReg], + coefficient_chain: &[QReg], +) { + controlled_xor_raw_t_prime_bit_length_loaned_with_lifetime( + circ, + control, + l_s, + l_r_prime, + work2, + output, + coefficient_chain, + RawTPrimeRotationLifetime::Continuous, + ); +} + +fn controlled_xor_raw_t_prime_bit_length( + circ: &mut Circuit, + control: &QReg, + l_s: &[QReg], + l_r_prime: &[QReg], + work2: &[QReg], + output: &[QReg], + coefficient_chain: &[QReg], +) { + let lifetime = if split_coefficient_rotation_lifetime_requested() { + RawTPrimeRotationLifetime::Split + } else { + RawTPrimeRotationLifetime::Continuous + }; + if coefficient_raw_bitlen_loan_requested() { + controlled_xor_raw_t_prime_bit_length_loaned_with_lifetime( + circ, + control, + l_s, + l_r_prime, + work2, + output, + coefficient_chain, + lifetime, + ); + } else { + controlled_xor_raw_t_prime_bit_length_allocated_with_lifetime( + circ, control, l_s, l_r_prime, work2, output, lifetime, + ); + } +} + +/// In the reversed Work1 view, the packed `t` component occupies the +/// rightmost `left_length` lanes. The separator is zero and remains above the +/// rotated remainder, hence `bitlen(rotated) - left_length = bitlen(r)`. +fn controlled_xor_rotated_suffix_bit_length_with_prefix_scratch( + circ: &mut Circuit, + control: &QReg, + left_length: &[QReg], + work: &[QReg], + output: &[QReg], + scratch: &[QReg], + borrowed_prefix_scratch: &[&QReg], +) { + assert!(borrowed_prefix_scratch.len() <= 3); + for (index, lender) in borrowed_prefix_scratch.iter().enumerate() { + assert!( + borrowed_prefix_scratch[..index] + .iter() + .all(|other| other.id() != lender.id()) + ); + assert_ne!(lender.id(), control.id()); + assert!(left_length.iter().all(|lane| lane.id() != lender.id())); + assert!(work.iter().all(|lane| lane.id() != lender.id())); + assert!(output.iter().all(|lane| lane.id() != lender.id())); + assert!(scratch.iter().all(|lane| lane.id() != lender.id())); + } + let reversed: Vec<&QReg> = work.iter().rev().collect(); + let scratch_refs: Vec<&QReg> = scratch + .iter() + .chain(borrowed_prefix_scratch.iter().copied()) + .collect(); + variable_rotate_high_refs(circ, left_length, &reversed); + controlled_xor_saturating_bit_length_difference( + circ, + control, + left_length, + &reversed, + output, + &scratch_refs, + None, + ); + variable_rotate_low_refs(circ, left_length, &reversed); +} + +fn controlled_xor_rotated_suffix_bit_length_lq6_truncated_high( + circ: &mut Circuit, + control: &QReg, + left_length: &[QReg], + work: &[QReg], + output: &[QReg], + scratch: &[QReg], + borrowed_prefix_scratch: &[&QReg], +) { + assert_eq!(output.len(), 8); + assert_eq!(left_length.len(), output.len() + 1); + assert_eq!(scratch.len() + borrowed_prefix_scratch.len(), 8); + for (index, lender) in borrowed_prefix_scratch.iter().enumerate() { + assert!( + borrowed_prefix_scratch[..index] + .iter() + .all(|other| other.id() != lender.id()) + ); + assert_ne!(lender.id(), control.id()); + assert!(left_length.iter().all(|lane| lane.id() != lender.id())); + assert!(work.iter().all(|lane| lane.id() != lender.id())); + assert!(output.iter().all(|lane| lane.id() != lender.id())); + assert!(scratch.iter().all(|lane| lane.id() != lender.id())); + } + let reversed: Vec<&QReg> = work.iter().rev().collect(); + let scratch_refs: Vec<&QReg> = scratch + .iter() + .chain(borrowed_prefix_scratch.iter().copied()) + .collect(); + variable_rotate_high_refs(circ, left_length, &reversed); + controlled_xor_saturating_bit_length_difference_serial_split_five_truncated_high( + circ, + control, + left_length, + &reversed, + output, + &scratch_refs, + ); + variable_rotate_low_refs(circ, left_length, &reversed); +} + +fn controlled_xor_rotated_suffix_bit_length( + circ: &mut Circuit, + control: &QReg, + left_length: &[QReg], + work: &[QReg], + output: &[QReg], + scratch: &[QReg], + preserved_dy_top_scratch: &[&QReg], +) { + assert!(preserved_dy_top_scratch.len() <= 1); + let entry_ops_idx = circ.total_ops() as usize; + controlled_xor_rotated_suffix_bit_length_with_prefix_scratch( + circ, + control, + left_length, + work, + output, + scratch, + preserved_dy_top_scratch, + ); + if let Some(lender) = preserved_dy_top_scratch.first() { + record_preserved_dy_top_borrow_window(lender, entry_ops_idx, circ.total_ops() as usize); + } +} + +#[allow(clippy::too_many_arguments)] +fn controlled_xor_rotated_suffix_with_zero_s_lender( + circ: &mut Circuit, + zero_s: &QReg, + clean_lender: &QReg, + l_s: &[QReg], + control: &QReg, + left_length: &[QReg], + work: &[QReg], + output: &[QReg], + scratch: &[QReg], + additional_prefix_scratch: &[&QReg], +) { + assert!( + scratch.len() + additional_prefix_scratch.len() >= l_s.len().saturating_sub(2) + ); + let mut zero_predicate_scratch: Vec = + scratch.iter().map(QReg::borrowed_alias).collect(); + if zero_predicate_scratch.len() < l_s.len().saturating_sub(2) { + zero_predicate_scratch.push( + output + .last() + .expect("hosted high output lane") + .borrowed_alias(), + ); + } + uncompute_zero(circ, l_s, zero_s, &zero_predicate_scratch); + let borrowed_prefix_scratch: Vec<&QReg> = [zero_s, clean_lender] + .into_iter() + .chain(additional_prefix_scratch.iter().copied()) + .collect(); + controlled_xor_rotated_suffix_bit_length_with_prefix_scratch( + circ, + control, + left_length, + work, + output, + scratch, + &borrowed_prefix_scratch, + ); + compute_zero(circ, l_s, zero_s, &zero_predicate_scratch); +} + +#[allow(clippy::too_many_arguments)] +fn conditional_work_and_length_swap_quadratic_oracle( + circ: &mut Circuit, + control: &QReg, + iteration_parity: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert_eq!(l_t.len(), l_t_prime.len()); + assert_l_r_prime_metadata_width(l_t.len(), l_r_prime.len()); + let old_r_length = circ.alloc_qreg_bits("rs.swap-length.old-lrp", l_t.len()); + + controlled_xor_dynamic_suffix_bit_length_quadratic(circ, control, l_t, work1, &old_r_length); + for (current, next) in l_t.iter().zip(l_t_prime) { + circ.cswap(control, current, next); + } + for (current, next) in l_r_prime.iter().zip(&old_r_length) { + circ.cswap(control, current, next); + } + controlled_swap_registers(circ, control, work1, work2); + controlled_xor_dynamic_suffix_bit_length_quadratic(circ, control, l_t, work1, &old_r_length); + for lane in old_r_length { + circ.zero_and_free(lane); + } + circ.cx(control, iteration_parity); + let _ = (l_q, l_s); +} + +pub fn conditional_work_and_length_swap( + circ: &mut Circuit, + control: &QReg, + iteration_parity: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + _t_window: (usize, usize), + _r_window: (usize, usize), + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert_l_r_prime_metadata_width(l_t.len(), l_r_prime.len()); + assert_eq!(l_t.len(), l_t_prime.len()); + let old_r_length = circ.alloc_qreg_bits("rs.swap-length.old-lrp", l_t.len()); + + with_bit_length_callsite( + "p.bitlen.rs.swap-old-r.pre.deposit", + "p.bitlen.rs.swap-old-r.pre.erase", + || { + controlled_xor_rotated_suffix_bit_length( + circ, + control, + l_t, + work1, + &old_r_length, + scratch, + &[], + ); + }, + ); + + for (current, next) in l_t.iter().zip(l_t_prime) { + circ.cswap(control, current, next); + } + for (current, next) in l_r_prime.iter().zip(&old_r_length) { + circ.cswap(control, current, next); + } + controlled_swap_registers(circ, control, work1, work2); + + with_bit_length_callsite( + "p.bitlen.rs.swap-old-r.post.deposit", + "p.bitlen.rs.swap-old-r.post.erase", + || { + controlled_xor_rotated_suffix_bit_length( + circ, + control, + l_t, + work1, + &old_r_length, + scratch, + &[], + ); + }, + ); + for lane in old_r_length { + circ.zero_and_free(lane); + } + circ.cx(control, iteration_parity); + + let _ = (l_q, l_s); +} + +#[allow(clippy::too_many_arguments)] +pub fn conditional_work_and_length_swap_inverse( + circ: &mut Circuit, + control: &QReg, + iteration_parity: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + t_window: (usize, usize), + r_window: (usize, usize), + scratch: &[QReg], +) { + conditional_work_and_length_swap( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + ); +} + +fn multi_controlled_x_vchain_borrowed( + circ: &mut Circuit, + controls: &[&QReg], + target: &QReg, + ancillas: &[&QReg], +) { + match controls.len() { + 0 => circ.x(target), + 1 => circ.cx(controls[0], target), + 2 => circ.ccx(controls[0], controls[1], target), + count => { + assert!(ancillas.len() >= count - 2); + circ.ccx(controls[0], controls[1], ancillas[0]); + for index in 2..count - 1 { + circ.ccx(controls[index], ancillas[index - 2], ancillas[index - 1]); + } + circ.ccx(controls[count - 1], ancillas[count - 3], target); + for index in (2..count - 1).rev() { + circ.ccx(controls[index], ancillas[index - 2], ancillas[index - 1]); + } + circ.ccx(controls[0], controls[1], ancillas[0]); + } + } +} + +fn support_control_uses_preserved_dy_top( + support_control: &QReg, + preserved_dy_top_scratch: &[&QReg], +) -> bool { + assert!(preserved_dy_top_scratch.len() <= 1); + preserved_dy_top_scratch + .first() + .map(|lender| lender.id() == support_control.id()) + .unwrap_or(false) +} + +/// Toggle the support-qualified swap predicate into `control` while restoring +/// `l_q` and every workspace lane. The zero predicate alone does not imply the +/// packed-length invariant needed to clear an old-r lender. Materializing the +/// discrepancy in the promised-zero `l_q` makes that invariant explicit: +/// +/// `l_q = l_r_prime XOR suffix_bitlen(work2, l_t_prime)`. +/// +/// `zero_s AND zero(l_q)` is then exactly the reversible support predicate. +#[allow(clippy::too_many_arguments)] +fn materialize_promised_l_q_swap_discrepancy( + circ: &mut Circuit, + zero_q: &QReg, + zero_s: &QReg, + control: &QReg, + l_s: &[QReg], + work2: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], + preserved_dy_top_scratch: &[&QReg], + predicate_lending: bool, + support_workspace: &[&QReg], +) { + assert!(!l_q.is_empty()); + assert_eq!(l_q.len() + 1, l_t_prime.len()); + assert_eq!(l_q.len(), l_r_prime.len()); + assert!(!support_workspace.is_empty()); + let base_control = support_workspace[0]; + assert_ne!(control.id(), base_control.id()); + + circ.ccx(zero_q, zero_s, base_control); + let conditional_zero_q_lender = + support_control_uses_preserved_dy_top(base_control, preserved_dy_top_scratch); + if conditional_zero_q_lender { + // On the active branch base_control implies zero_q=1. Make zero_q a + // clean hosted high output there. The controlled route preserves its + // arbitrary inactive-branch value without measuring or resetting it. + circ.cx(base_control, zero_q); + } + with_bit_length_callsite( + "p.bitlen.rs.swap-support.compute.deposit", + "p.bitlen.rs.swap-support.compute.erase", + || { + if predicate_lending { + assert_eq!(preserved_dy_top_scratch.len(), 1); + let mut extended_l_q: Vec = + l_q.iter().map(QReg::borrowed_alias).collect(); + let (bit_length_scratch, additional_prefix_scratch) = + if conditional_zero_q_lender { + extended_l_q.push(zero_q.borrowed_alias()); + (scratch, &[][..]) + } else { + let (bit_length_scratch, high_lane) = + scratch.split_at(scratch.len() - 1); + extended_l_q.push(high_lane[0].borrowed_alias()); + (bit_length_scratch, preserved_dy_top_scratch) + }; + controlled_xor_rotated_suffix_with_zero_s_lender( + circ, + zero_s, + control, + l_s, + base_control, + l_t_prime, + work2, + &extended_l_q, + bit_length_scratch, + additional_prefix_scratch, + ); + } else { + panic!("eight-bit l_q requires predicate and preserved-prefix lenders"); + } + }, + ); + if conditional_zero_q_lender { + circ.cx(base_control, zero_q); + } + for (source, destination) in l_r_prime.iter().zip(l_q) { + circ.ccx(base_control, source, destination); + } + circ.ccx(zero_q, zero_s, base_control); +} + +fn toggle_materialized_promised_l_q_swap_control( + circ: &mut Circuit, + zero_s: &QReg, + control: &QReg, + l_q: &[QReg], + scratch: &[QReg], + support_workspace: &[&QReg], +) { + assert!(!l_q.is_empty()); + assert!(!support_workspace.is_empty()); + + for lane in l_q { + circ.x(lane); + } + let controls: Vec<&QReg> = std::iter::once(zero_s).chain(l_q).collect(); + let required_ancillas = controls.len().saturating_sub(2); + let support_ancillas: Vec<&QReg> = scratch + .iter() + .chain(support_workspace.iter().copied()) + .take(required_ancillas) + .collect(); + assert_eq!(support_ancillas.len(), required_ancillas); + multi_controlled_x_vchain_borrowed(circ, &controls, control, &support_ancillas); + for lane in l_q { + circ.x(lane); + } +} + +#[allow(clippy::too_many_arguments)] +fn unmaterialize_promised_l_q_swap_discrepancy( + circ: &mut Circuit, + zero_q: &QReg, + zero_s: &QReg, + control: &QReg, + l_s: &[QReg], + work2: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], + preserved_dy_top_scratch: &[&QReg], + predicate_lending: bool, + support_workspace: &[&QReg], +) { + assert!(!l_q.is_empty()); + assert_eq!(l_q.len() + 1, l_t_prime.len()); + assert_eq!(l_q.len(), l_r_prime.len()); + assert!(!support_workspace.is_empty()); + let base_control = support_workspace[0]; + assert_ne!(control.id(), base_control.id()); + + circ.ccx(zero_q, zero_s, base_control); + for (source, destination) in l_r_prime.iter().zip(l_q) { + circ.ccx(base_control, source, destination); + } + let conditional_zero_q_lender = + support_control_uses_preserved_dy_top(base_control, preserved_dy_top_scratch); + if conditional_zero_q_lender { + circ.cx(base_control, zero_q); + } + with_bit_length_callsite( + "p.bitlen.rs.swap-support.uncompute.deposit", + "p.bitlen.rs.swap-support.uncompute.erase", + || { + if predicate_lending { + assert_eq!(preserved_dy_top_scratch.len(), 1); + let mut extended_l_q: Vec = + l_q.iter().map(QReg::borrowed_alias).collect(); + let (bit_length_scratch, additional_prefix_scratch) = + if conditional_zero_q_lender { + extended_l_q.push(zero_q.borrowed_alias()); + (scratch, &[][..]) + } else { + let (bit_length_scratch, high_lane) = + scratch.split_at(scratch.len() - 1); + extended_l_q.push(high_lane[0].borrowed_alias()); + (bit_length_scratch, preserved_dy_top_scratch) + }; + controlled_xor_rotated_suffix_with_zero_s_lender( + circ, + zero_s, + control, + l_s, + base_control, + l_t_prime, + work2, + &extended_l_q, + bit_length_scratch, + additional_prefix_scratch, + ); + } else { + panic!("eight-bit l_q requires predicate and preserved-prefix lenders"); + } + }, + ); + if conditional_zero_q_lender { + circ.cx(base_control, zero_q); + } + circ.ccx(zero_q, zero_s, base_control); +} + +#[allow(clippy::too_many_arguments)] +fn toggle_promised_l_q_swap_control( + circ: &mut Circuit, + zero_q: &QReg, + zero_s: &QReg, + control: &QReg, + l_s: &[QReg], + work2: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], + preserved_dy_top_scratch: &[&QReg], + support_workspace: &[&QReg], +) { + materialize_promised_l_q_swap_discrepancy( + circ, + zero_q, + zero_s, + control, + l_s, + work2, + l_t_prime, + l_q, + l_r_prime, + scratch, + preserved_dy_top_scratch, + false, + support_workspace, + ); + toggle_materialized_promised_l_q_swap_control( + circ, + zero_s, + control, + l_q, + scratch, + support_workspace, + ); + unmaterialize_promised_l_q_swap_discrepancy( + circ, + zero_q, + zero_s, + control, + l_s, + work2, + l_t_prime, + l_q, + l_r_prime, + scratch, + preserved_dy_top_scratch, + false, + support_workspace, + ); +} + +/// Specialized swap used only while the support-qualified zero control is +/// materialized. When `control` is one, `l_q` is a clean lender and the old +/// `l_r_prime` agrees with the swapped-in packed suffix; when it is zero, every +/// use of the lender is controlled and arbitrary `l_q` data is preserved. +fn controlled_xor_rotated_suffix_lq8_hosted( + circ: &mut Circuit, + control: &QReg, + left_length: &[QReg], + work: &[QReg], + l_q: &[QReg], + scratch: &[QReg], + hosted_high_output: Option<&QReg>, + preserved_dy_top_scratch: &[&QReg], + predicate_prefix_scratch: &[&QReg], +) { + assert_eq!(left_length.len(), l_q.len() + 1); + assert_eq!(preserved_dy_top_scratch.len(), 1); + assert_eq!( + predicate_prefix_scratch.len(), + 2 - usize::from(hosted_high_output.is_some()) + ); + let mut extended_l_q: Vec = l_q.iter().map(QReg::borrowed_alias).collect(); + let bit_length_scratch = if let Some(hosted_high_output) = hosted_high_output { + extended_l_q.push(hosted_high_output.borrowed_alias()); + scratch + } else { + let (bit_length_scratch, high_lane) = scratch.split_at(scratch.len() - 1); + extended_l_q.push(high_lane[0].borrowed_alias()); + bit_length_scratch + }; + let borrowed_prefix_scratch: Vec<&QReg> = predicate_prefix_scratch + .iter() + .copied() + .chain(preserved_dy_top_scratch.iter().copied()) + .collect(); + controlled_xor_rotated_suffix_bit_length_with_prefix_scratch( + circ, + control, + left_length, + work, + &extended_l_q, + bit_length_scratch, + &borrowed_prefix_scratch, + ); +} + +#[allow(clippy::too_many_arguments)] +fn conditional_work_and_length_swap_promised_l_q_zero( + circ: &mut Circuit, + control: &QReg, + iteration_parity: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + _t_window: (usize, usize), + _r_window: (usize, usize), + scratch: &[QReg], + hosted_high_output: Option<&QReg>, + preserved_dy_top_scratch: &[&QReg], + predicate_prefix_scratch: &[&QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert_eq!(l_t.len(), l_t_prime.len()); + assert_eq!(l_t.len(), l_q.len() + 1); + assert_eq!(l_q.len(), l_r_prime.len()); + assert_l_r_prime_metadata_width(l_t.len(), l_r_prime.len()); + + with_bit_length_callsite( + "p.bitlen.rs.promised-swap.pre.deposit", + "p.bitlen.rs.promised-swap.pre.erase", + || { + controlled_xor_rotated_suffix_lq8_hosted( + circ, + control, + l_t, + work1, + l_q, + scratch, + hosted_high_output, + preserved_dy_top_scratch, + predicate_prefix_scratch, + ); + }, + ); + + for (current, next) in l_t.iter().zip(l_t_prime) { + circ.cswap(control, current, next); + } + for (current, next) in l_r_prime.iter().zip(l_q) { + circ.cswap(control, current, next); + } + controlled_swap_registers(circ, control, work1, work2); + + with_bit_length_callsite( + "p.bitlen.rs.promised-swap.post.deposit", + "p.bitlen.rs.promised-swap.post.erase", + || { + controlled_xor_rotated_suffix_lq8_hosted( + circ, + control, + l_t, + work1, + l_q, + scratch, + hosted_high_output, + preserved_dy_top_scratch, + predicate_prefix_scratch, + ); + }, + ); + circ.cx(control, iteration_parity); + + let _ = l_s; +} + +#[allow(clippy::too_many_arguments)] +fn conditional_work_and_length_swap_promised_l_q_zero_inverse( + circ: &mut Circuit, + control: &QReg, + iteration_parity: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + t_window: (usize, usize), + r_window: (usize, usize), + scratch: &[QReg], + hosted_high_output: Option<&QReg>, + preserved_dy_top_scratch: &[&QReg], + predicate_prefix_scratch: &[&QReg], +) { + conditional_work_and_length_swap_promised_l_q_zero( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + hosted_high_output, + preserved_dy_top_scratch, + predicate_prefix_scratch, + ); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum PromisedLqSwapRoute { + Configured, + Allocated, + PromisedAllocated, + BorrowLq, +} + +/// Exchange the reachable packed Work1/Work2 metadata without materializing +/// `l_t_prime`. On the active branch, `l_t` follows +/// `A -> A xor B -> B`; `l_q` similarly carries the old Work1 suffix length +/// across the remainder-length swap and is erased from the post-swap word. +#[allow(clippy::too_many_arguments)] +fn conditional_work_and_length_swap_direct_metadata( + circ: &mut Circuit, + zero_q: &QReg, + zero_s: &QReg, + control: &QReg, + iteration_parity: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], + preserved_dy_top_scratch: &[&QReg], +) { + assert_eq!(work1.len(), work2.len()); + let seven_bit_l_q = q825_seven_bit_l_q_requested(); + if seven_bit_l_q { + let omitted_l_q_bits = l_r_prime + .len() + .checked_sub(l_q.len()) + .expect("hosted l_q route requires no wider physical l_q"); + assert!( + (1..=2).contains(&omitted_l_q_bits), + "hosted l_q route supports one or two omitted high bits" + ); + } else { + assert_eq!(l_q.len(), l_r_prime.len()); + } + assert_eq!(l_t.len(), l_r_prime.len() + 1); + assert_l_r_prime_metadata_width(l_t.len(), l_r_prime.len()); + assert_eq!(preserved_dy_top_scratch.len(), 1); + assert!(scratch.len() >= l_t.len().saturating_sub(2)); + let omitted_l_q_bits = if seven_bit_l_q { + l_r_prime.len() - l_q.len() + } else { + 0 + }; + // Reachable scheduled states satisfy the packed-length invariant whenever + // q=s=0. Materialize that base control, then release both zero-predicate + // targets as clean decoder lenders while retaining the control. + circ.ccx(zero_q, zero_s, control); + uncompute_zero(circ, l_s, zero_s, scratch); + uncompute_zero(circ, l_q, zero_q, scratch); + + // The Q825 route materializes the omitted high quotient-length bit in the + // released zero_s target. It is restored before the zero predicates are + // rebuilt, so no additional physical lane crosses the swap window. + let mut logical_l_q = l_q.iter().map(QReg::borrowed_alias).collect::>(); + if omitted_l_q_bits >= 1 { + logical_l_q.push(zero_s.borrowed_alias()); + } + if omitted_l_q_bits >= 2 { + logical_l_q.push(zero_q.borrowed_alias()); + } + assert_eq!(logical_l_q.len(), l_r_prime.len()); + let suffix_scratch = if omitted_l_q_bits == 1 { + &scratch[1..] + } else { + scratch + }; + let predicate_prefix_scratch: Vec<&QReg> = if seven_bit_l_q { + vec![&scratch[0]] + } else { + vec![zero_s] + }; + let direct_prefix_scratch: Vec<&QReg> = if omitted_l_q_bits == 2 { + vec![preserved_dy_top_scratch[0]] + } else if seven_bit_l_q { + vec![zero_q, preserved_dy_top_scratch[0]] + } else { + vec![zero_q, zero_s] + }; + let xor_rotated_suffix = |circ: &mut Circuit| { + if omitted_l_q_bits == 2 { + controlled_xor_rotated_suffix_bit_length_lq6_truncated_high( + circ, + control, + l_t, + work1, + &logical_l_q, + suffix_scratch, + preserved_dy_top_scratch, + ); + } else { + controlled_xor_rotated_suffix_lq8_hosted( + circ, + control, + l_t, + work1, + &logical_l_q, + suffix_scratch, + Some(zero_q), + preserved_dy_top_scratch, + &predicate_prefix_scratch, + ); + } + }; + with_bit_length_callsite( + "p.bitlen.rs.direct-swap-old-r.pre.deposit", + "p.bitlen.rs.direct-swap-old-r.pre.erase", + || { + xor_rotated_suffix(circ); + }, + ); + with_bit_length_callsite( + "p.bitlen.rs.direct-swap-new-t.pre.deposit", + "p.bitlen.rs.direct-swap-new-t.pre.erase", + || { + controlled_xor_rotated_prefix_bit_length( + circ, + control, + l_r_prime, + work2, + l_t, + if omitted_l_q_bits == 1 { + &scratch[1..] + } else { + scratch + }, + &direct_prefix_scratch, + ); + }, + ); + + for (current, next) in l_r_prime.iter().zip(&logical_l_q) { + circ.cswap(control, current, next); + } + controlled_swap_registers(circ, control, work1, work2); + + with_bit_length_callsite( + "p.bitlen.rs.direct-swap-old-t.post.deposit", + "p.bitlen.rs.direct-swap-old-t.post.erase", + || { + controlled_xor_rotated_prefix_bit_length( + circ, + control, + l_r_prime, + work2, + l_t, + if omitted_l_q_bits == 1 { + &scratch[1..] + } else { + scratch + }, + &direct_prefix_scratch, + ); + }, + ); + with_bit_length_callsite( + "p.bitlen.rs.direct-swap-old-r-prime.post.deposit", + "p.bitlen.rs.direct-swap-old-r-prime.post.erase", + || { + xor_rotated_suffix(circ); + }, + ); + circ.cx(control, iteration_parity); + + compute_zero(circ, l_q, zero_q, scratch); + compute_zero(circ, l_s, zero_s, scratch); + circ.ccx(zero_q, zero_s, control); +} + +/// Keep the zero predicates live across the swap. This is the only production +/// entry point that can select the promised `l_q` lender route. +#[allow(clippy::too_many_arguments)] +fn conditional_work_and_length_swap_under_zero_predicate( + circ: &mut Circuit, + zero_q: &QReg, + zero_s: &QReg, + control: &QReg, + iteration_parity: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + t_window: (usize, usize), + r_window: (usize, usize), + scratch: &[QReg], + preserved_dy_top_scratch: &[&QReg], + inverse: bool, + route: PromisedLqSwapRoute, +) { + let route = match route { + PromisedLqSwapRoute::Configured if promised_l_q_swap_borrow_requested() => { + PromisedLqSwapRoute::BorrowLq + } + PromisedLqSwapRoute::Configured => PromisedLqSwapRoute::Allocated, + route => route, + }; + assert!( + q845_swap_only_swap_dependencies_satisfied(), + "Q845 swap-only t-prime lifecycle requires the promised l_q swap route" + ); + if q845_swap_only_t_prime_length_requested() { + assert_eq!( + route, + PromisedLqSwapRoute::BorrowLq, + "Q845 swap-only t-prime lifecycle cannot use an allocated swap route" + ); + } + if q830_direct_swap_metadata_requested() { + assert!( + q845_swap_only_t_prime_length_requested(), + "direct swap metadata requires the swap-only t-prime lifecycle" + ); + assert_eq!( + route, + PromisedLqSwapRoute::BorrowLq, + "direct swap metadata requires promised l_q lending" + ); + conditional_work_and_length_swap_direct_metadata( + circ, + zero_q, + zero_s, + control, + iteration_parity, + work1, + work2, + l_t, + l_q, + l_s, + l_r_prime, + scratch, + preserved_dy_top_scratch, + ); + return; + } + if route == PromisedLqSwapRoute::Allocated { + circ.ccx(zero_q, zero_s, control); + if inverse { + conditional_work_and_length_swap_inverse( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + ); + } else { + conditional_work_and_length_swap( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + ); + } + circ.ccx(zero_q, zero_s, control); + return; + } + + let required_support_ancillas = l_q.len().saturating_sub(1); + let support_workspace_width = + 1usize.max(required_support_ancillas.saturating_sub(scratch.len())); + let borrow_support_workspace = q839_seven_plateau_lenders_requested() + && !preserved_dy_top_scratch.is_empty(); + if borrow_support_workspace { + assert_eq!(support_workspace_width, 1); + assert_eq!(preserved_dy_top_scratch.len(), 1); + assert!( + promised_swap_support_lifetime_fusion_requested(), + "q837 support lending requires fused promised-swap support lifetime" + ); + assert!( + sub800_raw_prefix_predicate_lender_requested(), + "q837 support lending requires predicate-prefix lending" + ); + let lender = preserved_dy_top_scratch[0]; + assert_ne!(lender.id(), zero_q.id()); + assert_ne!(lender.id(), zero_s.id()); + assert_ne!(lender.id(), control.id()); + assert!(scratch.iter().all(|lane| lane.id() != lender.id())); + Q839_SEVEN_PLATEAU_SUPPORT_LOANS.fetch_add(1, Ordering::Relaxed); + } else if q839_seven_plateau_lenders_requested() { + Q839_SEVEN_PLATEAU_SUPPORT_FALLBACKS.fetch_add(1, Ordering::Relaxed); + } + let support_lender_entry_ops_idx = + borrow_support_workspace.then(|| circ.total_ops() as usize); + let support_workspace_owned = (!borrow_support_workspace).then(|| { + circ.alloc_qreg_bits("rs.swap-length.promised-support", support_workspace_width) + }); + let support_workspace: Vec<&QReg> = if borrow_support_workspace { + vec![preserved_dy_top_scratch[0]] + } else { + support_workspace_owned + .as_ref() + .expect("owned support workspace") + .iter() + .collect() + }; + let raw_prefix_scratch = if sub800_raw_prefix_preserved_lender_requested() { + preserved_dy_top_scratch + } else { + &[] + }; + if q845_swap_only_t_prime_length_requested() { + // `l_t_prime` is zero between swap sites. The base zero predicate is + // sufficient to materialize the packed Work2 coefficient length used + // by the support test; the same operation erases the swapped-in length + // after the controlled exchange. + if sub800_raw_prefix_predicate_lender_requested() { + controlled_xor_rotated_prefix_with_predicate_lenders( + circ, + zero_q, + zero_s, + control, + l_q, + l_s, + l_r_prime, + work2, + l_t_prime, + scratch, + ); + } else { + circ.ccx(zero_q, zero_s, control); + controlled_xor_rotated_prefix_bit_length( + circ, + control, + l_r_prime, + work2, + l_t_prime, + scratch, + raw_prefix_scratch, + ); + circ.ccx(zero_q, zero_s, control); + } + } + let fuse_support_lifetime = promised_swap_support_lifetime_fusion_requested(); + if fuse_support_lifetime { + assert_eq!( + route, + PromisedLqSwapRoute::BorrowLq, + "support-lifetime fusion requires the promised l_q lender route" + ); + // Keep D = suffix_bitlen(work2, l_t_prime) XOR l_r_prime in l_q + // across the controlled swap. D is zero exactly on the control-on + // branch, while every swap operation preserves arbitrary D when the + // control is off. This removes one complete support scan pair. + materialize_promised_l_q_swap_discrepancy( + circ, + zero_q, + zero_s, + control, + l_s, + work2, + l_t_prime, + l_q, + l_r_prime, + scratch, + preserved_dy_top_scratch, + sub800_raw_prefix_predicate_lender_requested(), + &support_workspace, + ); + toggle_materialized_promised_l_q_swap_control( + circ, + zero_s, + control, + l_q, + scratch, + &support_workspace, + ); + } else { + toggle_promised_l_q_swap_control( + circ, + zero_q, + zero_s, + control, + l_s, + work2, + l_t_prime, + l_q, + l_r_prime, + scratch, + preserved_dy_top_scratch, + &support_workspace, + ); + } + let conditional_zero_q_lender = + borrow_support_workspace && sub800_raw_prefix_predicate_lender_requested(); + let hosted_swap_high_output = conditional_zero_q_lender.then_some(zero_q); + let predicate_swap_lenders = if sub800_raw_prefix_predicate_lender_requested() { + assert_eq!( + route, + PromisedLqSwapRoute::BorrowLq, + "predicate lending requires the promised l_q swap route" + ); + uncompute_zero(circ, l_s, zero_s, scratch); + if conditional_zero_q_lender { + // The support predicate implies zero_q=1. Its controlled toggle + // makes it a clean hosted high output on the active branch. The + // inactive branch preserves its arbitrary value without lending it + // to measurement-based prefix scratch. + circ.cx(control, zero_q); + vec![zero_s] + } else { + vec![zero_s, support_workspace[0]] + } + } else { + Vec::new() + }; + match (inverse, route) { + (false, PromisedLqSwapRoute::PromisedAllocated) => conditional_work_and_length_swap( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + ), + (true, PromisedLqSwapRoute::PromisedAllocated) => conditional_work_and_length_swap_inverse( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + ), + (false, PromisedLqSwapRoute::BorrowLq) => { + conditional_work_and_length_swap_promised_l_q_zero( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + hosted_swap_high_output, + preserved_dy_top_scratch, + &predicate_swap_lenders, + ) + } + (true, PromisedLqSwapRoute::BorrowLq) => { + conditional_work_and_length_swap_promised_l_q_zero_inverse( + circ, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + t_window, + r_window, + scratch, + hosted_swap_high_output, + preserved_dy_top_scratch, + &predicate_swap_lenders, + ) + } + (_, PromisedLqSwapRoute::Allocated | PromisedLqSwapRoute::Configured) => { + unreachable!("promised swap route resolved") + } + } + if conditional_zero_q_lender { + circ.cx(control, zero_q); + } + if !predicate_swap_lenders.is_empty() { + compute_zero(circ, l_s, zero_s, scratch); + } + if fuse_support_lifetime { + // The promised swap restores the retained discrepancy in l_q: zero on + // the swap branch and the untouched arbitrary value off branch. + toggle_materialized_promised_l_q_swap_control( + circ, + zero_s, + control, + l_q, + scratch, + &support_workspace, + ); + unmaterialize_promised_l_q_swap_discrepancy( + circ, + zero_q, + zero_s, + control, + l_s, + work2, + l_t_prime, + l_q, + l_r_prime, + scratch, + preserved_dy_top_scratch, + sub800_raw_prefix_predicate_lender_requested(), + &support_workspace, + ); + } else { + toggle_promised_l_q_swap_control( + circ, + zero_q, + zero_s, + control, + l_s, + work2, + l_t_prime, + l_q, + l_r_prime, + scratch, + preserved_dy_top_scratch, + &support_workspace, + ); + } + if q845_swap_only_t_prime_length_requested() { + if sub800_raw_prefix_predicate_lender_requested() { + controlled_xor_rotated_prefix_with_predicate_lenders( + circ, + zero_q, + zero_s, + control, + l_q, + l_s, + l_r_prime, + work2, + l_t_prime, + scratch, + ); + } else { + circ.ccx(zero_q, zero_s, control); + controlled_xor_rotated_prefix_bit_length( + circ, + control, + l_r_prime, + work2, + l_t_prime, + scratch, + raw_prefix_scratch, + ); + circ.ccx(zero_q, zero_s, control); + } + } + if let Some(entry_ops_idx) = support_lender_entry_ops_idx { + record_q839_support_lender_borrow_window( + preserved_dy_top_scratch[0], + entry_ops_idx, + circ.total_ops() as usize, + ); + } + if let Some(support_workspace) = support_workspace_owned { + free_clean(circ, support_workspace); + } +} + +fn compute_remainder_operation( + circ: &mut Circuit, + phase1: &QReg, + l_r_prime: &[QReg], + scratch: &RemainderScratch<'_>, +) { + compute_nonzero(circ, l_r_prime, scratch.nonzero, scratch.nonzero_chain); + circ.x(phase1); + circ.ccx(phase1, scratch.nonzero, scratch.operation); + circ.x(phase1); +} + +fn uncompute_remainder_operation( + circ: &mut Circuit, + phase1: &QReg, + l_r_prime: &[QReg], + scratch: &RemainderScratch<'_>, +) { + circ.x(phase1); + circ.ccx(phase1, scratch.nonzero, scratch.operation); + circ.x(phase1); + uncompute_nonzero(circ, l_r_prime, scratch.nonzero, scratch.nonzero_chain); +} + +fn toggle_remainder_add_enable( + circ: &mut Circuit, + operation: &QReg, + phase2: &QReg, + sign: &QReg, + phase_sign: &QReg, + enable: &QReg, +) { + // enable ^= operation AND !(phase2 AND sign), restoring phase_sign. + circ.ccx(phase2, sign, phase_sign); + circ.x(phase_sign); + circ.ccx(operation, phase_sign, enable); + circ.x(phase_sign); + circ.ccx(phase2, sign, phase_sign); +} + +fn prepare_remainder_range( + circ: &mut Circuit, + total_work_width: usize, + window_upper: usize, + l_t: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + scratch: &RemainderScratch<'_>, +) { + assert!(!l_q.is_empty() && l_q.len() < l_t.len()); + assert_eq!(l_t.len(), l_s.len()); + assert!(window_upper <= total_work_width); + let extension_count = l_t.len() - l_q.len(); + let zero_extensions = std::iter::once(scratch.length_overflow) + .chain(scratch.constant.iter().skip(1).take(extension_count - 1)) + .collect::>(); + assert_eq!(zero_extensions.len(), extension_count); + cuccaro_add_zero_extended_no_overflow( + circ, + l_q, + l_t, + scratch.length_carry, + &zero_extensions, + ); + // At global position j=K, sign(l_t) is one iff l_t+l_q <= K-2. + remainder_sub_const_mod_2n(circ, l_t, window_upper - 1, scratch.constant); + // sign(l_s) is one iff l_s <= N-K. + remainder_sub_const_mod_2n( + circ, + l_s, + total_work_width - window_upper + 1, + scratch.constant, + ); +} + +fn unprepare_remainder_range( + circ: &mut Circuit, + total_work_width: usize, + window_upper: usize, + l_t: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + scratch: &RemainderScratch<'_>, +) { + assert!(!l_q.is_empty() && l_q.len() < l_t.len()); + let extension_count = l_t.len() - l_q.len(); + let zero_extensions = std::iter::once(scratch.length_overflow) + .chain(scratch.constant.iter().skip(1).take(extension_count - 1)) + .collect::>(); + assert_eq!(zero_extensions.len(), extension_count); + remainder_add_const_mod_2n( + circ, + l_s, + total_work_width - window_upper + 1, + scratch.constant, + ); + remainder_add_const_mod_2n(circ, l_t, window_upper - 1, scratch.constant); + cuccaro_sub_zero_extended_no_overflow( + circ, + l_q, + l_t, + scratch.length_carry, + &zero_extensions, + ); +} + +fn toggle_remainder_range_active( + circ: &mut Circuit, + control: &QReg, + l_q: &[QReg], + l_s: &[QReg], + scratch: &RemainderScratch<'_>, +) { + let controls = [ + control, + l_q.last().expect("nonempty l_q"), + l_s.last().expect("nonempty l_s"), + ]; + multi_controlled_x_vchain( + circ, + &controls, + scratch.active, + std::slice::from_ref(scratch.tmp), + ); +} + +fn walk_remainder_range_down( + circ: &mut Circuit, + l_q: &[QReg], + l_s: &[QReg], + scratch: &RemainderScratch<'_>, +) { + decrement_mod_2n(circ, l_s, scratch.walk); + increment_mod_2n(circ, l_q, scratch.walk); +} + +fn walk_remainder_range_up( + circ: &mut Circuit, + l_q: &[QReg], + l_s: &[QReg], + scratch: &RemainderScratch<'_>, +) { + increment_mod_2n(circ, l_s, scratch.walk); + decrement_mod_2n(circ, l_q, scratch.walk); +} + +#[allow(clippy::too_many_arguments)] +pub fn remainder_sub_window( + circ: &mut Circuit, + total_work_width: usize, + window_upper: usize, + phase1: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + let layout = selected_remainder_scratch_layout(); + if layout == RemainderScratchLayout::PhaseOverlaid { + assert_remainder_scratch_disjoint_from_data( + "remainder sub", + &[phase1, sign], + &[work1, work2, l_t, l_q, l_s, l_r_prime], + scratch, + q824_remainder_lq_high_host_requested().then(|| { + assert!(l_q.len() > 5, "Q824 remainder host requires l_q[5]"); + &l_q[5] + }), + ); + } + let scratch = split_remainder_scratch_for_layout(scratch, l_t.len(), l_r_prime.len(), layout); + compute_remainder_operation(circ, phase1, l_r_prime, &scratch); + prepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + for index in (0..work1.len()).rev() { + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + circ.ccx(scratch.active, &work2[index], &work1[index]); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + if index != 0 { + walk_remainder_range_down(circ, l_t, l_s, &scratch); + } + } + circ.ccx(scratch.operation, scratch.carry, sign); + for index in 0..work1.len() { + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + circ.ccx(scratch.active, scratch.carry, &work1[index]); + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + if index + 1 != work1.len() { + walk_remainder_range_up(circ, l_t, l_s, &scratch); + } + } + unprepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + uncompute_remainder_operation(circ, phase1, l_r_prime, &scratch); +} + +#[allow(clippy::too_many_arguments)] +pub fn remainder_sub_window_inverse( + circ: &mut Circuit, + total_work_width: usize, + window_upper: usize, + phase1: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + let layout = selected_remainder_scratch_layout(); + if layout == RemainderScratchLayout::PhaseOverlaid { + assert_remainder_scratch_disjoint_from_data( + "remainder sub inverse", + &[phase1, sign], + &[work1, work2, l_t, l_q, l_s, l_r_prime], + scratch, + q824_remainder_lq_high_host_requested().then(|| { + assert!(l_q.len() > 5, "Q824 remainder host requires l_q[5]"); + &l_q[5] + }), + ); + } + let scratch = split_remainder_scratch_for_layout(scratch, l_t.len(), l_r_prime.len(), layout); + compute_remainder_operation(circ, phase1, l_r_prime, &scratch); + prepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + walk_remainder_range_down(circ, l_t, l_s, &scratch); + } + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + circ.ccx(scratch.active, scratch.carry, &work1[index]); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + } + circ.ccx(scratch.operation, scratch.carry, sign); + for index in 0..work1.len() { + if index != 0 { + walk_remainder_range_up(circ, l_t, l_s, &scratch); + } + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + circ.ccx(scratch.active, &work2[index], &work1[index]); + toggle_remainder_range_active(circ, scratch.operation, l_t, l_s, &scratch); + } + unprepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + uncompute_remainder_operation(circ, phase1, l_r_prime, &scratch); +} + +#[allow(clippy::too_many_arguments)] +pub fn remainder_add_window( + circ: &mut Circuit, + total_work_width: usize, + window_upper: usize, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + let layout = selected_remainder_scratch_layout(); + if layout == RemainderScratchLayout::PhaseOverlaid { + assert_remainder_scratch_disjoint_from_data( + "remainder add", + &[phase1, phase2, sign], + &[work1, work2, l_t, l_q, l_s, l_r_prime], + scratch, + q824_remainder_lq_high_host_requested().then(|| { + assert!(l_q.len() > 5, "Q824 remainder host requires l_q[5]"); + &l_q[5] + }), + ); + } + let scratch = split_remainder_scratch_for_layout(scratch, l_t.len(), l_r_prime.len(), layout); + compute_remainder_operation(circ, phase1, l_r_prime, &scratch); + toggle_remainder_add_enable( + circ, + scratch.operation, + phase2, + sign, + scratch.phase_sign, + scratch.enable, + ); + prepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + for index in (0..work1.len()).rev() { + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + circ.ccx(scratch.active, scratch.carry, &work1[index]); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + if index != 0 { + walk_remainder_range_down(circ, l_t, l_s, &scratch); + } + } + for index in 0..work1.len() { + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + circ.ccx(scratch.active, &work2[index], &work1[index]); + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + if index + 1 != work1.len() { + walk_remainder_range_up(circ, l_t, l_s, &scratch); + } + } + unprepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + toggle_remainder_add_enable( + circ, + scratch.operation, + phase2, + sign, + scratch.phase_sign, + scratch.enable, + ); + uncompute_remainder_operation(circ, phase1, l_r_prime, &scratch); +} + +#[allow(clippy::too_many_arguments)] +pub fn remainder_add_window_inverse( + circ: &mut Circuit, + total_work_width: usize, + window_upper: usize, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + scratch: &[QReg], +) { + assert_eq!(work1.len(), work2.len()); + let layout = selected_remainder_scratch_layout(); + if layout == RemainderScratchLayout::PhaseOverlaid { + assert_remainder_scratch_disjoint_from_data( + "remainder add inverse", + &[phase1, phase2, sign], + &[work1, work2, l_t, l_q, l_s, l_r_prime], + scratch, + q824_remainder_lq_high_host_requested().then(|| { + assert!(l_q.len() > 5, "Q824 remainder host requires l_q[5]"); + &l_q[5] + }), + ); + } + let scratch = split_remainder_scratch_for_layout(scratch, l_t.len(), l_r_prime.len(), layout); + compute_remainder_operation(circ, phase1, l_r_prime, &scratch); + toggle_remainder_add_enable( + circ, + scratch.operation, + phase2, + sign, + scratch.phase_sign, + scratch.enable, + ); + prepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + walk_remainder_range_down(circ, l_t, l_s, &scratch); + } + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + circ.ccx(scratch.active, &work2[index], &work1[index]); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + } + for index in 0..work1.len() { + if index != 0 { + walk_remainder_range_up(circ, l_t, l_s, &scratch); + } + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + multi_controlled_x_vchain( + circ, + &[scratch.active, &work2[index], &work1[index]], + scratch.carry, + std::slice::from_ref(scratch.tmp), + ); + circ.ccx(scratch.active, scratch.carry, &work2[index]); + circ.ccx(scratch.active, scratch.carry, &work1[index]); + toggle_remainder_range_active(circ, scratch.enable, l_t, l_s, &scratch); + } + unprepare_remainder_range( + circ, + total_work_width, + window_upper, + l_t, + l_q, + l_s, + &scratch, + ); + toggle_remainder_add_enable( + circ, + scratch.operation, + phase2, + sign, + scratch.phase_sign, + scratch.enable, + ); + uncompute_remainder_operation(circ, phase1, l_r_prime, &scratch); +} + +fn remainder_phase_sign_flip( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + l_r_prime: &[QReg], + scratch: &[QReg], +) { + assert!(scratch.len() >= l_r_prime.len().max(2)); + let nonzero = &scratch[0]; + let operation = &scratch[1]; + let chain = &scratch[2..]; + compute_nonzero(circ, l_r_prime, nonzero, chain); + circ.x(phase1); + circ.ccx(phase1, nonzero, operation); + circ.x(phase1); + circ.ccx(operation, phase2, sign); + circ.x(phase1); + circ.ccx(phase1, nonzero, operation); + circ.x(phase1); + uncompute_nonzero(circ, l_r_prime, nonzero, chain); +} + +fn free_clean(circ: &mut Circuit, register: Vec) { + for lane in register { + circ.zero_and_free(lane); + } +} + +fn toggle_initial_coefficient_enable( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + enable: &QReg, + chain: &[QReg], +) { + // phase1 AND (phase2 OR !sign), split into disjoint terms. + circ.ccx(phase1, phase2, enable); + circ.x(phase2); + circ.x(sign); + multi_controlled_x_vchain(circ, &[phase1, phase2, sign], enable, chain); + circ.x(sign); + circ.x(phase2); +} + +fn toggle_output_coefficient_enable( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + output_less_than: &QReg, + enable: &QReg, + chain: &[QReg], +) { + // On the promised coefficient transition, the input branch bit is + // phase1 AND (phase2 OR sign_out OR (output < t)). + circ.ccx(phase1, phase2, enable); + circ.x(phase2); + multi_controlled_x_vchain(circ, &[phase1, phase2, sign], enable, chain); + circ.x(sign); + multi_controlled_x_vchain( + circ, + &[phase1, phase2, sign, output_less_than], + enable, + chain, + ); + circ.x(sign); + circ.x(phase2); +} + +fn toggle_coefficient_target_length( + circ: &mut Circuit, + control: &QReg, + work2: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + target_length: &[QReg], +) { + assert_eq!(target_length.len(), l_s.len()); + assert_eq!(target_length.len(), l_r_prime.len()); + let length_width = target_length.len(); + let boundary = circ.alloc_qreg_bits("rs.coeff-compare.boundary", length_width); + for (source, destination) in l_r_prime.iter().zip(&boundary) { + circ.cx(source, destination); + } + let boundary_carry = circ.alloc_qreg("rs.coeff-compare.boundary-carry"); + let boundary_overflow = circ.alloc_qreg("rs.coeff-compare.boundary-overflow"); + cuccaro_add_mod_2n(circ, l_s, &boundary, &boundary_carry, &boundary_overflow); + + with_bit_length_callsite( + "p.bitlen.rs.coeff-target.deposit", + "p.bitlen.rs.coeff-target.erase", + || { + controlled_xor_rotated_prefix_bit_length( + circ, + control, + &boundary, + work2, + target_length, + &[], + &[], + ); + }, + ); + + cuccaro_sub_mod_2n(circ, l_s, &boundary, &boundary_carry, &boundary_overflow); + circ.zero_and_free(boundary_overflow); + circ.zero_and_free(boundary_carry); + for (source, destination) in l_r_prime.iter().zip(&boundary) { + circ.cx(source, destination); + } + free_clean(circ, boundary); +} + +fn borrowed_coefficient_comparator_requested() -> bool { + std::env::var("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH") + .ok() + .as_deref() + == Some("1") +} + +fn toggle_coefficient_length_above_boundary_allocated( + circ: &mut Circuit, + target_length: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target: &QReg, +) { + assert_eq!(target_length.len(), l_t.len()); + assert_eq!(target_length.len(), l_s.len()); + let length_width = l_t.len(); + let wide = length_width + 1; + let difference = circ.alloc_qreg_bits("rs.coeff-compare.difference", wide); + let t_copy = circ.alloc_qreg_bits("rs.coeff-compare.t-copy", wide); + for (source, destination) in target_length.iter().zip(&difference) { + circ.cx(source, destination); + } + for (source, destination) in l_t.iter().zip(&t_copy) { + circ.cx(source, destination); + } + let boundary_carry = circ.alloc_qreg("rs.coeff-compare.boundary-carry"); + let boundary_overflow = circ.alloc_qreg("rs.coeff-compare.boundary-overflow"); + cuccaro_add_mod_2n( + circ, + l_s, + &t_copy[..length_width], + &boundary_carry, + &boundary_overflow, + ); + let compare_carry = circ.alloc_qreg("rs.coeff-compare.carry"); + let compare_overflow = circ.alloc_qreg("rs.coeff-compare.overflow"); + cuccaro_sub_mod_2n( + circ, + &t_copy, + &difference, + &compare_carry, + &compare_overflow, + ); + let nonzero = circ.alloc_qreg("rs.coeff-compare.nonzero"); + let nonzero_chain = + circ.alloc_qreg_bits("rs.coeff-compare.nonzero-chain", wide.saturating_sub(2)); + compute_nonzero(circ, &difference, &nonzero, &nonzero_chain); + let sign = &difference[wide - 1]; + circ.x(sign); + circ.ccx(&nonzero, sign, target); + circ.x(sign); + uncompute_nonzero(circ, &difference, &nonzero, &nonzero_chain); + free_clean(circ, nonzero_chain); + circ.zero_and_free(nonzero); + cuccaro_add_mod_2n( + circ, + &t_copy, + &difference, + &compare_carry, + &compare_overflow, + ); + circ.zero_and_free(compare_overflow); + circ.zero_and_free(compare_carry); + cuccaro_sub_mod_2n( + circ, + l_s, + &t_copy[..length_width], + &boundary_carry, + &boundary_overflow, + ); + circ.zero_and_free(boundary_overflow); + circ.zero_and_free(boundary_carry); + for (source, destination) in l_t.iter().zip(&t_copy) { + circ.cx(source, destination); + } + for lane in t_copy { + circ.zero_and_free(lane); + } + for (source, destination) in target_length.iter().zip(&difference) { + circ.cx(source, destination); + } + for lane in difference { + circ.zero_and_free(lane); + } +} + +fn assert_borrowed_coefficient_comparator_preconditions( + target_length: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target: &QReg, + scratch: &[&QReg], +) { + assert!(!target_length.is_empty()); + assert_eq!(target_length.len(), l_t.len()); + assert_eq!(target_length.len(), l_s.len()); + assert_eq!( + scratch.len(), + 3, + "borrow-only coefficient comparator requires exactly three clean caller lanes" + ); + + let mut ids = Vec::with_capacity(3 * target_length.len() + scratch.len() + 1); + for (index, lane) in target_length + .iter() + .chain(l_t) + .chain(l_s) + .chain(std::iter::once(target)) + .chain(scratch.iter().copied()) + .enumerate() + { + assert!( + !ids.contains(&lane.id()), + "borrow-only coefficient comparator lane {index} aliases an operand or scratch lane" + ); + ids.push(lane.id()); + } +} + +/// Toggle `target_length > (l_t + l_s mod 2^n)` into `target`. +/// +/// `scratch` is caller-owned clean storage in the order `(zero pad, carry, +/// borrow)`. The add/subtract pairs restore all three lanes exactly. Cleanliness +/// is a caller precondition; the exhaustive proof below checks it on every +/// reduced-width basis state. +fn toggle_coefficient_length_above_boundary_borrowed( + circ: &mut Circuit, + target_length: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target: &QReg, + scratch: &[&QReg], +) { + assert_borrowed_coefficient_comparator_preconditions(target_length, l_t, l_s, target, scratch); + let length_width = l_t.len(); + let wide = length_width + 1; + let zero_pad = scratch[0]; + let carry = scratch[1]; + let borrow = scratch[2]; + + let boundary = circ.alloc_qreg_bits("rs.coeff-compare.borrow-boundary", wide); + for (source, destination) in l_t.iter().zip(&boundary) { + circ.cx(source, destination); + } + cuccaro_add_mod_2n_no_overflow(circ, l_s, &boundary[..length_width], carry); + + let mut zero_extended_target: Vec<&QReg> = target_length.iter().collect(); + zero_extended_target.push(zero_pad); + cuccaro_sub_mod_2n_refs(circ, &zero_extended_target, &boundary, carry, borrow); + circ.cx(borrow, target); + cuccaro_add_mod_2n_refs(circ, &zero_extended_target, &boundary, carry, borrow); + + cuccaro_sub_mod_2n_no_overflow(circ, l_s, &boundary[..length_width], carry); + for (source, destination) in l_t.iter().zip(&boundary) { + circ.cx(source, destination); + } + free_clean(circ, boundary); +} + +fn toggle_coefficient_length_above_boundary( + circ: &mut Circuit, + target_length: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target: &QReg, + borrowed_scratch: &[&QReg], +) { + if borrowed_coefficient_comparator_requested() { + toggle_coefficient_length_above_boundary_borrowed( + circ, + target_length, + l_t, + l_s, + target, + borrowed_scratch, + ); + } else { + toggle_coefficient_length_above_boundary_allocated(circ, target_length, l_t, l_s, target); + } +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct CoefficientLessThanLifetimeTrace { + after_first_boundary: usize, + before_second_boundary: usize, +} + +thread_local! { + static COEFFICIENT_LESS_THAN_LIFETIME_TRACE: std::cell::Cell<( + bool, + CoefficientLessThanLifetimeTrace, + )> = std::cell::Cell::new((false, CoefficientLessThanLifetimeTrace { + after_first_boundary: 0, + before_second_boundary: 0, + })); +} + +fn begin_coefficient_less_than_lifetime_trace() { + COEFFICIENT_LESS_THAN_LIFETIME_TRACE.with(|trace| { + trace.set((true, CoefficientLessThanLifetimeTrace::default())); + }); +} + +fn finish_coefficient_less_than_lifetime_trace() -> CoefficientLessThanLifetimeTrace { + COEFFICIENT_LESS_THAN_LIFETIME_TRACE.with(|trace| { + let (_, snapshot) = trace.get(); + trace.set((false, snapshot)); + snapshot + }) +} + +fn record_coefficient_less_than_lifetime_boundary(circ: &Circuit, first: bool) { + COEFFICIENT_LESS_THAN_LIFETIME_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + if first { + snapshot.after_first_boundary = circ.total_ops() as usize; + } else { + snapshot.before_second_boundary = circ.total_ops() as usize; + } + trace.set((enabled, snapshot)); + } + }); +} + +#[allow(clippy::too_many_arguments)] +fn assert_coefficient_less_than_lane_reuse_preconditions( + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target_length: &[QReg], + target: &QReg, + scratch: &[&QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert_eq!(l_t.len(), l_s.len()); + assert_eq!(l_t.len(), target_length.len()); + assert_eq!( + scratch.len(), + 3, + "coefficient less-than lane reuse requires carry, active, and tmp lenders" + ); + for (index, lane) in scratch.iter().enumerate() { + assert!( + scratch[..index].iter().all(|other| other.id() != lane.id()), + "coefficient less-than lender {index} aliases an earlier lender" + ); + assert_ne!(lane.id(), control.id()); + assert_ne!(lane.id(), target.id()); + assert!(work1.iter().all(|other| other.id() != lane.id())); + assert!(work2.iter().all(|other| other.id() != lane.id())); + assert!(l_t.iter().all(|other| other.id() != lane.id())); + assert!(l_s.iter().all(|other| other.id() != lane.id())); + assert!(target_length.iter().all(|other| other.id() != lane.id())); + } +} + +#[allow(clippy::too_many_arguments)] +fn toggle_coefficient_less_than_with_lane_route( + circ: &mut Circuit, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target_length: &[QReg], + target: &QReg, + compare_scratch: &[&QReg], + reuse_caller_lanes: bool, +) { + if reuse_caller_lanes { + assert_coefficient_less_than_lane_reuse_preconditions( + control, + work1, + work2, + l_t, + l_s, + target_length, + target, + compare_scratch, + ); + } + let above_t = circ.alloc_qreg("rs.coeff-compare.above-t"); + toggle_coefficient_length_above_boundary( + circ, + target_length, + l_t, + l_s, + &above_t, + compare_scratch, + ); + record_coefficient_less_than_lifetime_boundary(circ, true); + + let cursor_scratch = circ.alloc_qreg_bits( + "rs.coeff-compare.cursor-scratch", + l_t.len().saturating_sub(1), + ); + // Borrow l_t as the cursor; the reverse scan and final increment restore it. + decrement_mod_2n(circ, l_t, &cursor_scratch); + let carry_owned = + (!reuse_caller_lanes).then(|| circ.alloc_qreg("rs.coeff-compare.local-carry")); + let active_owned = (!reuse_caller_lanes).then(|| circ.alloc_qreg("rs.coeff-compare.active")); + let tmp_owned = (!reuse_caller_lanes).then(|| circ.alloc_qreg("rs.coeff-compare.tmp")); + let carry = if reuse_caller_lanes { + compare_scratch[0] + } else { + carry_owned.as_ref().expect("owned coefficient carry") + }; + let active = if reuse_caller_lanes { + compare_scratch[1] + } else { + active_owned.as_ref().expect("owned coefficient active") + }; + let tmp = if reuse_caller_lanes { + compare_scratch[2] + } else { + tmp_owned.as_ref().expect("owned coefficient tmp") + }; + let bracket = production_coefficient_nonnegative_bracket(); + + for index in 0..work1.len() { + begin_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + circ.ccx(&active, &work1[index], &work2[index]); + circ.ccx(&active, &carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[&active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(&tmp), + ); + end_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + if index + 1 != work1.len() { + decrement_mod_2n(circ, l_t, &cursor_scratch); + } + } + + circ.x(&above_t); + circ.ccx(&carry, &above_t, target); + circ.x(&above_t); + + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + increment_mod_2n(circ, l_t, &cursor_scratch); + } + begin_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + multi_controlled_x_vchain( + circ, + &[&active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(&tmp), + ); + circ.ccx(&active, &carry, &work1[index]); + circ.ccx(&active, &work1[index], &work2[index]); + end_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + } + increment_mod_2n(circ, l_t, &cursor_scratch); + if let Some(tmp) = tmp_owned { + circ.zero_and_free(tmp); + } + if let Some(active) = active_owned { + circ.zero_and_free(active); + } + if let Some(carry) = carry_owned { + circ.zero_and_free(carry); + } + free_clean(circ, cursor_scratch); + + record_coefficient_less_than_lifetime_boundary(circ, false); + toggle_coefficient_length_above_boundary( + circ, + target_length, + l_t, + l_s, + &above_t, + compare_scratch, + ); + circ.zero_and_free(above_t); +} + +#[allow(clippy::too_many_arguments)] +fn toggle_coefficient_less_than( + circ: &mut Circuit, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target_length: &[QReg], + target: &QReg, + compare_scratch: &[&QReg], +) { + toggle_coefficient_less_than_with_lane_route( + circ, + control, + work1, + work2, + l_t, + l_s, + target_length, + target, + compare_scratch, + coefficient_less_than_lane_reuse_requested(), + ); +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct CoefficientAddLenderTrace { + calls: usize, + entry_ops_idx: usize, + restore_ops_idx: usize, + lender_mask: u64, +} + +thread_local! { + static COEFFICIENT_ADD_LENDER_TRACE: std::cell::Cell<( + bool, + CoefficientAddLenderTrace, + )> = std::cell::Cell::new((false, CoefficientAddLenderTrace { + calls: 0, + entry_ops_idx: 0, + restore_ops_idx: 0, + lender_mask: 0, + })); +} + +fn begin_coefficient_add_lender_trace() { + COEFFICIENT_ADD_LENDER_TRACE.with(|trace| { + trace.set((true, CoefficientAddLenderTrace::default())); + }); +} + +fn finish_coefficient_add_lender_trace() -> CoefficientAddLenderTrace { + COEFFICIENT_ADD_LENDER_TRACE.with(|trace| { + let (_, snapshot) = trace.get(); + trace.set((false, snapshot)); + snapshot + }) +} + +fn record_coefficient_add_lender_entry(circ: &Circuit, lenders: &[&QReg]) { + COEFFICIENT_ADD_LENDER_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + assert_eq!(snapshot.calls, 0, "coefficient-add trace supports one call"); + snapshot.calls = 1; + snapshot.entry_ops_idx = circ.total_ops() as usize; + snapshot.lender_mask = lenders.iter().fold(0u64, |mask, lane| { + mask | 1u64.checked_shl(lane.id()).unwrap_or(0) + }); + trace.set((enabled, snapshot)); + } + }); +} + +fn record_coefficient_add_lender_restore(circ: &Circuit) { + COEFFICIENT_ADD_LENDER_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + assert_eq!(snapshot.calls, 1, "coefficient-add restore without entry"); + snapshot.restore_ops_idx = circ.total_ops() as usize; + trace.set((enabled, snapshot)); + } + }); +} + +fn assert_clean_chain_coefficient_add_lender_preconditions( + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + lenders: &[&QReg], +) { + assert_eq!(work1.len(), work2.len()); + assert!(!work1.is_empty()); + assert!(!l_t.is_empty()); + assert_eq!( + lenders.len(), + 2, + "clean-chain coefficient add requires exactly active and v-chain tmp lenders" + ); + assert_ne!( + lenders[0].id(), + lenders[1].id(), + "clean-chain coefficient-add lenders must be distinct" + ); + for (index, lane) in lenders.iter().enumerate() { + assert_ne!(lane.id(), control.id(), "lender {index} aliases control"); + assert!( + work1.iter().all(|other| other.id() != lane.id()), + "lender {index} aliases work1" + ); + assert!( + work2.iter().all(|other| other.id() != lane.id()), + "lender {index} aliases work2" + ); + assert!( + l_t.iter().all(|other| other.id() != lane.id()), + "lender {index} aliases l_t" + ); + } +} + +/// Apply only the coefficient data update. +/// +/// When `reuse_clean_chain` is true, `lenders` must be two distinct clean +/// caller lanes ordered as `(active, v-chain tmp)`. Both lenders and the +/// in-place `l_t` cursor are restored exactly; the focused exhaustive proof +/// checks the entry and restore cut points. +fn coefficient_add_data_only_with_lane_route( + circ: &mut Circuit, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + inverse: bool, + lenders: &[&QReg], + reuse_clean_chain: bool, +) { + if reuse_clean_chain { + assert_clean_chain_coefficient_add_lender_preconditions( + control, work1, work2, l_t, lenders, + ); + record_coefficient_add_lender_entry(circ, lenders); + } + let cursor_scratch = + circ.alloc_qreg_bits("rs.coeff-add.cursor-scratch", l_t.len().saturating_sub(1)); + let carry = circ.alloc_qreg("rs.coeff-add.carry"); + let active_owned = (!reuse_clean_chain).then(|| circ.alloc_qreg("rs.coeff-add.active")); + let tmp_owned = (!reuse_clean_chain).then(|| circ.alloc_qreg("rs.coeff-add.tmp")); + let active = if reuse_clean_chain { + lenders[0] + } else { + active_owned.as_ref().expect("owned coefficient-add active") + }; + let tmp = if reuse_clean_chain { + lenders[1] + } else { + tmp_owned + .as_ref() + .expect("owned coefficient-add v-chain tmp") + }; + let bracket = production_coefficient_nonnegative_bracket(); + + if inverse { + for index in 0..work1.len() { + if index != 0 { + decrement_mod_2n(circ, l_t, &cursor_scratch); + } + begin_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + circ.ccx(active, &work1[index], &work2[index]); + circ.ccx(active, &carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + end_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + } + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + increment_mod_2n(circ, l_t, &cursor_scratch); + } + begin_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, &carry, &work1[index]); + circ.ccx(active, &carry, &work2[index]); + end_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + } + } else { + for index in 0..work1.len() { + begin_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + circ.ccx(active, &carry, &work2[index]); + circ.ccx(active, &carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + end_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + if index + 1 != work1.len() { + decrement_mod_2n(circ, l_t, &cursor_scratch); + } + } + for index in (0..work1.len()).rev() { + begin_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, &carry, &work1[index]); + circ.ccx(active, &work1[index], &work2[index]); + end_coefficient_nonnegative_bracket(circ, control, l_t, active, bracket); + if index != 0 { + increment_mod_2n(circ, l_t, &cursor_scratch); + } + } + } + + if reuse_clean_chain { + record_coefficient_add_lender_restore(circ); + } + if let Some(tmp) = tmp_owned { + circ.zero_and_free(tmp); + } + if let Some(active) = active_owned { + circ.zero_and_free(active); + } + circ.zero_and_free(carry); + free_clean(circ, cursor_scratch); +} + +fn coefficient_add_data_only( + circ: &mut Circuit, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + inverse: bool, + lenders: &[&QReg], +) { + coefficient_add_data_only_with_lane_route( + circ, + control, + work1, + work2, + l_t, + inverse, + lenders, + clean_chain_coefficient_add_lender_requested(), + ); +} + +#[allow(clippy::too_many_arguments)] +fn assert_q845_fused_guard_preconditions( + control: &QReg, + target_length: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target: &QReg, + scratch: &[&QReg], +) { + assert!(!target_length.is_empty()); + assert_eq!(target_length.len(), l_t.len()); + assert_eq!(target_length.len(), l_s.len()); + assert_eq!( + scratch.len(), + 3, + "Q845 fused guard requires zero-pad, carry, and borrow lenders" + ); + let mut ids = Vec::with_capacity(3 * target_length.len() + scratch.len() + 2); + for (index, lane) in std::iter::once(control) + .chain(std::iter::once(target)) + .chain(target_length) + .chain(l_t) + .chain(l_s) + .chain(scratch.iter().copied()) + .enumerate() + { + assert!( + !ids.contains(&lane.id()), + "Q845 fused guard lane {index} aliases another operand or lender" + ); + ids.push(lane.id()); + } +} + +/// Toggle `target` when `control` is set and +/// `target_length > l_t + l_s + 1`. +/// +/// The extra one is injected as the Cuccaro carry-in, while the zero-extension +/// lane receives the true carry-out. This avoids the `n - 1` clean lanes used +/// by a standalone wide increment. All three caller lenders and the allocated +/// boundary are restored exactly. +#[allow(clippy::too_many_arguments)] +fn toggle_q845_coefficient_length_above_guarded_boundary( + circ: &mut Circuit, + control: &QReg, + target_length: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target: &QReg, + scratch: &[&QReg], +) { + assert_q845_fused_guard_preconditions(control, target_length, l_t, l_s, target, scratch); + let length_width = l_t.len(); + let zero_pad = scratch[0]; + let carry = scratch[1]; + let compare_borrow = scratch[2]; + let boundary = circ.alloc_qreg_bits("rs.q845-coeff-fused.boundary", length_width + 1); + for (source, destination) in l_t.iter().zip(&boundary) { + circ.cx(source, destination); + } + + // boundary = zero_extend(l_t + l_s + 1). The Cuccaro carry lane is + // restored to one by the adder and then returned to zero explicitly. + circ.x(carry); + cuccaro_add_mod_2n( + circ, + l_s, + &boundary[..length_width], + carry, + &boundary[length_width], + ); + circ.x(carry); + + let mut zero_extended_target: Vec<&QReg> = target_length.iter().collect(); + zero_extended_target.push(zero_pad); + cuccaro_sub_mod_2n_refs( + circ, + &zero_extended_target, + &boundary, + carry, + compare_borrow, + ); + circ.ccx(control, compare_borrow, target); + cuccaro_add_mod_2n_refs( + circ, + &zero_extended_target, + &boundary, + carry, + compare_borrow, + ); + + circ.x(carry); + cuccaro_sub_mod_2n( + circ, + l_s, + &boundary[..length_width], + carry, + &boundary[length_width], + ); + circ.x(carry); + for (source, destination) in l_t.iter().zip(&boundary) { + circ.cx(source, destination); + } + free_clean(circ, boundary); +} + +fn increment_mod_2n_refs(circ: &mut Circuit, register: &[&QReg], carries: &[&QReg]) { + let width = register.len(); + if width == 0 { + return; + } + if width == 1 { + circ.x(register[0]); + return; + } + assert!(carries.len() >= width - 1); + circ.cx(register[0], carries[0]); + for index in 1..width - 1 { + circ.ccx(register[index], carries[index - 1], carries[index]); + } + circ.cx(carries[width - 2], register[width - 1]); + for index in (1..width - 1).rev() { + circ.ccx(register[index], carries[index - 1], carries[index]); + circ.cx(carries[index - 1], register[index]); + } + circ.cx(register[0], carries[0]); + circ.x(register[0]); +} + +/// Replace `register` by `constant - register (mod 2^n)` without allocating. +/// The transform is its own inverse. Addition of the classical constant is +/// decomposed into suffix increments, so the supplied clean scratch is reused +/// and restored after every term. +fn affine_complement_constant_refs( + circ: &mut Circuit, + register: &[&QReg], + constant: usize, + scratch: &[&QReg], +) { + assert!(!register.is_empty()); + assert!(register.len() < usize::BITS as usize); + assert!(scratch.len() >= register.len().saturating_sub(1)); + for lane in register { + circ.x(lane); + } + let mask = (1usize << register.len()) - 1; + let addend = constant.wrapping_add(1) & mask; + for bit in 0..register.len() { + if ((addend >> bit) & 1) != 0 { + increment_mod_2n_refs(circ, ®ister[bit..], scratch); + } + } +} + +fn increment_mod_2n_dirty_ladder_refs( + circ: &mut Circuit, + register: &[&QReg], + dirty: &[&QReg], +) { + assert!(!register.is_empty()); + for bit in (1..register.len()).rev() { + mcx_dirty_ladder(circ, ®ister[..bit], register[bit], dirty); + } + circ.x(register[0]); +} + +fn decrement_mod_2n_dirty_ladder_refs( + circ: &mut Circuit, + register: &[&QReg], + dirty: &[&QReg], +) { + assert!(!register.is_empty()); + circ.x(register[0]); + for bit in 1..register.len() { + mcx_dirty_ladder(circ, ®ister[..bit], register[bit], dirty); + } +} + +fn add_constant_dirty_refs( + circ: &mut Circuit, + register: &[&QReg], + constant: usize, + dirty: &[&QReg], +) { + for bit in 0..register.len() { + if ((constant >> bit) & 1) != 0 { + increment_mod_2n_dirty_ladder_refs(circ, ®ister[bit..], dirty); + } + } +} + +fn sub_constant_dirty_refs( + circ: &mut Circuit, + register: &[&QReg], + constant: usize, + dirty: &[&QReg], +) { + for bit in (0..register.len()).rev() { + if ((constant >> bit) & 1) != 0 { + decrement_mod_2n_dirty_ladder_refs(circ, ®ister[bit..], dirty); + } + } +} + +fn affine_complement_constant_dirty_refs( + circ: &mut Circuit, + register: &[&QReg], + constant: usize, + dirty: &[&QReg], +) { + assert!(!register.is_empty()); + assert!(register.len() < usize::BITS as usize); + assert!(dirty.len() >= register.len().saturating_sub(3)); + for lane in register { + circ.x(lane); + } + let mask = (1usize << register.len()) - 1; + let addend = constant.wrapping_add(1) & mask; + add_constant_dirty_refs(circ, register, addend, dirty); +} + +fn assert_controlled_short_carry_preconditions( + control: &QReg, + register: &[QReg], + carries: &[QReg], +) { + assert!( + register.len() >= 2, + "short-carry increment requires at least two bits" + ); + assert_eq!( + carries.len(), + register.len() - 2, + "short-carry increment requires exactly n-2 clean carry lanes" + ); + for (index, lane) in register.iter().chain(carries).enumerate() { + assert_ne!(lane.id(), control.id(), "short-carry lane {index} aliases control"); + } + for (index, lane) in register.iter().enumerate() { + assert!(register[..index] + .iter() + .all(|other| other.id() != lane.id())); + assert!(carries.iter().all(|other| other.id() != lane.id())); + } + for (index, lane) in carries.iter().enumerate() { + assert!(carries[..index] + .iter() + .all(|other| other.id() != lane.id())); + } +} + +/// Add `control` modulo `2^n` with `n-2` clean carries. The final ripple +/// carry is used directly as the second control of the top-bit Toffoli instead +/// of being materialized in a redundant `n-1`st lane. +fn controlled_increment_mod_2n_short_carry( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + carries: &[QReg], +) { + assert_controlled_short_carry_preconditions(control, register, carries); + if register.len() == 2 { + circ.ccx(control, ®ister[0], ®ister[1]); + circ.cx(control, ®ister[0]); + return; + } + + let last_carry = carries.len() - 1; + circ.ccx(control, ®ister[0], &carries[0]); + circ.cx(control, ®ister[0]); + for index in 1..register.len() - 2 { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.ccx( + ®ister[register.len() - 2], + &carries[last_carry], + ®ister[register.len() - 1], + ); + circ.cx(&carries[last_carry], ®ister[register.len() - 2]); + for index in (1..register.len() - 2).rev() { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + circ.cx(&carries[index - 1], ®ister[index]); + } + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], &carries[0]); + circ.cx(control, ®ister[0]); +} + +/// Exact gate-stream inverse of [`controlled_increment_mod_2n_short_carry`]. +fn controlled_decrement_mod_2n_short_carry( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + carries: &[QReg], +) { + assert_controlled_short_carry_preconditions(control, register, carries); + if register.len() == 2 { + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], ®ister[1]); + return; + } + + let last_carry = carries.len() - 1; + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], &carries[0]); + circ.cx(control, ®ister[0]); + for index in 1..register.len() - 2 { + circ.cx(&carries[index - 1], ®ister[index]); + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(&carries[last_carry], ®ister[register.len() - 2]); + circ.ccx( + ®ister[register.len() - 2], + &carries[last_carry], + ®ister[register.len() - 1], + ); + for index in (1..register.len() - 2).rev() { + circ.ccx(®ister[index], &carries[index - 1], &carries[index]); + } + circ.cx(control, ®ister[0]); + circ.ccx(control, ®ister[0], &carries[0]); +} + +fn assert_q830_nested_counter_preconditions( + control: &QReg, + register: &[QReg], + dirty: &[QReg], + carry_a: &QReg, + carry_b: &QReg, +) { + assert_eq!(register.len(), REFERENCE_LENGTH_WIDTH); + assert!(dirty.len() >= 5); + let mut ids = Vec::new(); + for lane in std::iter::once(control) + .chain(register) + .chain(dirty) + .chain([carry_a, carry_b]) + { + assert!(!ids.contains(&lane.id()), "q830 nested counter lane alias"); + ids.push(lane.id()); + } +} + +fn controlled_increment_mod_2n_dirty_ladder( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + dirty: &[QReg], +) { + let dirty_refs = dirty.iter().collect::>(); + for bit in (1..register.len()).rev() { + let controls = std::iter::once(control) + .chain(register[..bit].iter()) + .collect::>(); + mcx_dirty_ladder(circ, &controls, ®ister[bit], &dirty_refs); + } + circ.cx(control, ®ister[0]); +} + +fn mcx_dirty_ladder_reverse( + circ: &mut Circuit, + controls: &[&QReg], + target: &QReg, + dirty: &[&QReg], +) { + let control_count = controls.len(); + match control_count { + 0 => return circ.x(target), + 1 => return circ.cx(controls[0], target), + 2 => return circ.ccx(controls[0], controls[1], target), + _ => {} + } + assert!(dirty.len() >= control_count - 2); + let dirty = &dirty[..control_count - 2]; + let cascade = |circ: &mut Circuit, include_seed: bool| { + if include_seed { + circ.ccx(controls[0], controls[1], dirty[0]); + } + for index in 1..dirty.len() { + circ.ccx(dirty[index - 1], controls[index + 1], dirty[index]); + } + circ.ccx(dirty[dirty.len() - 1], controls[control_count - 1], target); + for index in (1..dirty.len()).rev() { + circ.ccx(dirty[index - 1], controls[index + 1], dirty[index]); + } + if include_seed { + circ.ccx(controls[0], controls[1], dirty[0]); + } + }; + cascade(circ, false); + cascade(circ, true); +} + +fn controlled_decrement_mod_2n_dirty_ladder( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + dirty: &[QReg], +) { + let dirty_refs = dirty.iter().collect::>(); + circ.cx(control, ®ister[0]); + for bit in 1..register.len() { + let controls = std::iter::once(control) + .chain(register[..bit].iter()) + .collect::>(); + mcx_dirty_ladder_reverse(circ, &controls, ®ister[bit], &dirty_refs); + } +} + +fn controlled_increment_mod_2n_nested_2_3_4( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + dirty: &[QReg], + carry_a: &QReg, + carry_b: &QReg, +) { + assert_q830_nested_counter_preconditions(control, register, dirty, carry_a, carry_b); + let dirty_refs = dirty.iter().collect::>(); + let a_controls = [control, ®ister[0], ®ister[1]]; + mcx_dirty_ladder(circ, &a_controls, carry_a, &dirty_refs); + let b_controls = [carry_a, ®ister[2], ®ister[3], ®ister[4]]; + mcx_dirty_ladder(circ, &b_controls, carry_b, &dirty_refs); + controlled_increment_mod_2n_dirty_ladder(circ, carry_b, ®ister[5..9], dirty); + mcx_dirty_ladder_reverse(circ, &b_controls, carry_b, &dirty_refs); + let middle_carry = [carry_b.borrowed_alias()]; + controlled_increment_mod_2n_short_carry(circ, carry_a, ®ister[2..5], &middle_carry); + drop(middle_carry); + mcx_dirty_ladder_reverse(circ, &a_controls, carry_a, &dirty_refs); + controlled_increment_mod_2n_short_carry(circ, control, ®ister[..2], &[]); +} + +fn controlled_decrement_mod_2n_nested_2_3_4( + circ: &mut Circuit, + control: &QReg, + register: &[QReg], + dirty: &[QReg], + carry_a: &QReg, + carry_b: &QReg, +) { + assert_q830_nested_counter_preconditions(control, register, dirty, carry_a, carry_b); + let dirty_refs = dirty.iter().collect::>(); + let a_controls = [control, ®ister[0], ®ister[1]]; + let b_controls = [carry_a, ®ister[2], ®ister[3], ®ister[4]]; + controlled_decrement_mod_2n_short_carry(circ, control, ®ister[..2], &[]); + mcx_dirty_ladder(circ, &a_controls, carry_a, &dirty_refs); + let middle_carry = [carry_b.borrowed_alias()]; + controlled_decrement_mod_2n_short_carry(circ, carry_a, ®ister[2..5], &middle_carry); + drop(middle_carry); + mcx_dirty_ladder(circ, &b_controls, carry_b, &dirty_refs); + controlled_decrement_mod_2n_dirty_ladder(circ, carry_b, ®ister[5..9], dirty); + mcx_dirty_ladder_reverse(circ, &b_controls, carry_b, &dirty_refs); + mcx_dirty_ladder_reverse(circ, &a_controls, carry_a, &dirty_refs); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Q839UlsCallbackDirection { + Forward, + Reverse, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct Q839UlsCallbackAuditTrace { + forward_calls: usize, + reverse_calls: usize, + forward_callback_slices: usize, + reverse_callback_slices: usize, + lender_ids_checked: usize, + callback_ops_checked: usize, + lender_role_checks: usize, +} + +thread_local! { + static Q839_ULS_CALLBACK_AUDIT_TRACE: std::cell::Cell<( + bool, + Q839UlsCallbackAuditTrace, + )> = std::cell::Cell::new((false, Q839UlsCallbackAuditTrace { + forward_calls: 0, + reverse_calls: 0, + forward_callback_slices: 0, + reverse_callback_slices: 0, + lender_ids_checked: 0, + callback_ops_checked: 0, + lender_role_checks: 0, + })); +} + +fn begin_q839_uls_callback_audit() { + Q839_ULS_CALLBACK_AUDIT_TRACE.with(|trace| { + trace.set((true, Q839UlsCallbackAuditTrace::default())); + }); +} + +fn finish_q839_uls_callback_audit() -> Q839UlsCallbackAuditTrace { + Q839_ULS_CALLBACK_AUDIT_TRACE.with(|trace| { + let (_, snapshot) = trace.get(); + trace.set((false, snapshot)); + snapshot + }) +} + +fn record_q839_uls_callback_call( + direction: Q839UlsCallbackDirection, + lenders: &[&QReg], +) -> bool { + Q839_ULS_CALLBACK_AUDIT_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if !enabled { + return false; + } + assert_eq!(lenders.len(), 2, "q837 ULS requires exactly two lenders"); + assert_ne!(lenders[0].id(), lenders[1].id()); + match direction { + Q839UlsCallbackDirection::Forward => snapshot.forward_calls += 1, + Q839UlsCallbackDirection::Reverse => snapshot.reverse_calls += 1, + } + snapshot.lender_ids_checked += lenders.len(); + trace.set((enabled, snapshot)); + true + }) +} + +fn begin_q839_uls_callback_slice(circ: &Circuit) -> usize { + assert!(!circ.b.count_only, "q837 callback audit requires emitted ops"); + circ.b.ops.len() +} + +fn finish_q839_uls_callback_slice( + circ: &Circuit, + direction: Q839UlsCallbackDirection, + lenders: &[&QReg], + start_ops_idx: usize, +) { + assert_eq!(lenders.len(), 2, "q837 ULS requires exactly two lenders"); + let ops = &circ.b.ops[start_ops_idx..]; + assert!(!ops.is_empty(), "q837 production callback emitted no operations"); + for op in ops { + for lender in lenders { + let lender_id = u64::from(lender.id()); + assert_ne!(op.q_control1.0, lender_id, "q837 ULS lender used as control1"); + assert_ne!(op.q_control2.0, lender_id, "q837 ULS lender used as control2"); + assert_ne!(op.q_target.0, lender_id, "q837 ULS lender used as target"); + } + } + Q839_ULS_CALLBACK_AUDIT_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + assert!(enabled, "q837 callback audit stopped inside a callback"); + match direction { + Q839UlsCallbackDirection::Forward => snapshot.forward_callback_slices += 1, + Q839UlsCallbackDirection::Reverse => snapshot.reverse_callback_slices += 1, + } + snapshot.callback_ops_checked += ops.len(); + snapshot.lender_role_checks += ops.len() * lenders.len() * 3; + trace.set((enabled, snapshot)); + }); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q839SevenPlateauLenderProofReport { + pub short_carry_widths_checked: usize, + pub short_carry_basis_states_checked: usize, + pub short_carry_increment_checks: usize, + pub short_carry_decrement_checks: usize, + pub short_carry_inverse_checks: usize, + pub short_carry_reversed_op_stream_checks: usize, + pub uls_basis_states_checked: usize, + pub uls_peak_lanes_removed: usize, + pub uls_production_layouts_checked: usize, + pub uls_forward_calls: usize, + pub uls_reverse_calls: usize, + pub uls_forward_callback_slices: usize, + pub uls_reverse_callback_slices: usize, + pub uls_callback_lender_ids_checked: usize, + pub uls_callback_ops_checked: usize, + pub uls_callback_lender_role_checks: usize, + pub support_lender_basis_states_checked: usize, + pub support_production_directions_checked: usize, + pub support_borrow_windows_checked: usize, + pub support_borrowed_owned_shots_checked: usize, + pub support_lender_clean_entry_checks: usize, + pub support_lender_restore_checks: usize, + pub support_phase_clean_checks: usize, + pub support_ancilla_clean_checks: usize, + pub support_peak_lanes_removed: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q829DirectSelectorCompositionProofReport { + pub production_directions_checked: usize, + pub baseline_forward_peak_qubits: usize, + pub candidate_forward_peak_qubits: usize, + pub baseline_reverse_peak_qubits: usize, + pub candidate_reverse_peak_qubits: usize, + pub baseline_forward_toffoli: usize, + pub candidate_forward_toffoli: usize, + pub baseline_reverse_toffoli: usize, + pub candidate_reverse_toffoli: usize, + pub direct_forward_calls: usize, + pub direct_reverse_calls: usize, + pub seven_plateau_uls_forward_loans: usize, + pub seven_plateau_uls_reverse_loans: usize, + pub support_production_directions_checked: usize, + pub support_borrow_windows_checked: usize, + pub support_borrowed_owned_shots_checked: usize, + pub support_lender_clean_entry_checks: usize, + pub support_lender_restore_checks: usize, + pub support_phase_clean_checks: usize, + pub support_ancilla_clean_checks: usize, + pub support_peak_lanes_removed: usize, +} + +struct Q839SevenPlateauProofEnvironment { + saved: Vec<(&'static str, Option)>, +} + +impl Q839SevenPlateauProofEnvironment { + fn capture() -> Self { + const NAMES: &[&str] = &[ + "POINT_ADD_COUNT_ONLY", + "LOWQ_DIRECT_PREFIX_BITLEN", + "LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX", + "LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH", + "LOWQ_REUSE_ROTATED_BITLEN_SCRATCH", + "LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", + "LOWQ_FUSED_ZERO_PREFIX_BITLEN", + "LOWQ_DIRECT_PREFIX_DIRTY_UPDATE", + "LOWQ_DIRECT_PREFIX_NO_FLAG", + "LOWQ_RS_DIRTY_ZERO_CORRECTION", + "LOWQ_REGISTER_SHARED_REVERSE_DECREMENT_STREAM", + "LOWQ_CALLER_SCRATCH_KG_REVERSE_DECREMENT", + "LOWQ_SUB800_ULS_DIRTY_MCX3", + COEFFICIENT_RAW_BITLEN_LOAN_FLAG, + INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG, + FUSED_PREFIX_SCRATCH_LOAN_FLAG, + PROMISED_LQ_SWAP_BORROW_FLAG, + SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG, + COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG, + CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG, + PRESERVED_DY_TOP_PREFIX_LOAN_FLAG, + MIXED_WIDTH_L_R_PRIME_FLAG, + PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, + COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, + Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, + PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, + Q851_FIXED_SIGN_EVENT_FLAG, + Q830_DIRECT_SWAP_METADATA_FLAG, + Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, + Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG, + SUB800_INPLACE_GUARD_ADDRESS_FLAG, + SUB800_RAW_PREFIX_PRESERVED_LENDER_FLAG, + SUB800_RAW_PREFIX_PREDICATE_LENDER_FLAG, + SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, + SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, + SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG, + Q827_SERIAL_SPLIT_FIVE_FLAG, + SUB800_ULS_CLEAN_LENDER_FLAG, + SUB800_ULS_FUSED_TARGET_FLAG, + SUB800_ULS_DIRECT_SELECTOR_FLAG, + Q839_SEVEN_PLATEAU_LENDERS_FLAG, + ]; + Self { + saved: NAMES + .iter() + .copied() + .map(|name| (name, std::env::var_os(name))) + .collect(), + } + } +} + +impl Drop for Q839SevenPlateauProofEnvironment { + fn drop(&mut self) { + for (name, value) in self.saved.drain(..) { + match value { + Some(value) => std::env::set_var(name, value), + None => std::env::remove_var(name), + } + } + } +} + +fn configure_q839_seven_plateau_proof_environment() { + std::env::remove_var("POINT_ADD_COUNT_ONLY"); + for name in [ + "LOWQ_DIRECT_PREFIX_BITLEN", + "LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX", + "LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH", + "LOWQ_REUSE_ROTATED_BITLEN_SCRATCH", + "LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", + "LOWQ_FUSED_ZERO_PREFIX_BITLEN", + "LOWQ_REGISTER_SHARED_REVERSE_DECREMENT_STREAM", + "LOWQ_CALLER_SCRATCH_KG_REVERSE_DECREMENT", + "LOWQ_SUB800_ULS_DIRTY_MCX3", + COEFFICIENT_RAW_BITLEN_LOAN_FLAG, + INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG, + FUSED_PREFIX_SCRATCH_LOAN_FLAG, + PROMISED_LQ_SWAP_BORROW_FLAG, + SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG, + COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG, + CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG, + PRESERVED_DY_TOP_PREFIX_LOAN_FLAG, + MIXED_WIDTH_L_R_PRIME_FLAG, + PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, + COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, + Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, + PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, + Q851_FIXED_SIGN_EVENT_FLAG, + SUB800_INPLACE_GUARD_ADDRESS_FLAG, + SUB800_RAW_PREFIX_PRESERVED_LENDER_FLAG, + SUB800_RAW_PREFIX_PREDICATE_LENDER_FLAG, + SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, + SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, + SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG, + SUB800_ULS_CLEAN_LENDER_FLAG, + SUB800_ULS_FUSED_TARGET_FLAG, + Q839_SEVEN_PLATEAU_LENDERS_FLAG, + ] { + std::env::set_var(name, "1"); + } + for name in [ + "LOWQ_DIRECT_PREFIX_DIRTY_UPDATE", + "LOWQ_DIRECT_PREFIX_NO_FLAG", + "LOWQ_RS_DIRTY_ZERO_CORRECTION", + SUB800_ULS_DIRECT_SELECTOR_FLAG, + ] { + std::env::remove_var(name); + } +} + +fn build_q839_uls_production_callback_harness(inverse: bool) -> B { + const PHYSICAL_WORK_WIDTH: usize = 259; + const SCAN_WIDTH: usize = 257; + + let mut circ = q845_fusion_proof_circuit(); + let phase1 = circ.alloc_qreg("q837.uls-audit.phase1"); + let phase2 = circ.alloc_qreg("q837.uls-audit.phase2"); + let sign = circ.alloc_qreg("q837.uls-audit.sign"); + let work1 = circ.alloc_qreg_bits("q837.uls-audit.work1", PHYSICAL_WORK_WIDTH); + let work2 = circ.alloc_qreg_bits("q837.uls-audit.work2", PHYSICAL_WORK_WIDTH); + let l_t = circ.alloc_qreg_bits("q837.uls-audit.l-t", REFERENCE_LENGTH_WIDTH); + let l_t_prime = + circ.alloc_qreg_bits("q837.uls-audit.l-t-prime", REFERENCE_LENGTH_WIDTH); + let l_s = circ.alloc_qreg_bits("q837.uls-audit.l-s", REFERENCE_LENGTH_WIDTH); + let l_r_prime = circ.alloc_qreg_bits("q837.uls-audit.l-r-prime", REFERENCE_R_LENGTH_WIDTH); + let enable = circ.alloc_qreg("q837.uls-audit.enable"); + let above_guard = circ.alloc_qreg("q837.uls-audit.above-guard"); + let add_only = circ.alloc_qreg("q837.uls-audit.add-only"); + let chain = circ.alloc_qreg_bits("q837.uls-audit.chain", 2); + let support_lender = circ.alloc_qreg("q837.uls-audit.support-lender"); + + coefficient_fused_data_and_sign_q845_swap_only( + &mut circ, + &phase1, + &phase2, + &sign, + &work1[..SCAN_WIDTH], + &work2[..SCAN_WIDTH], + PHYSICAL_WORK_WIDTH, + &l_t, + &l_t_prime, + &l_s, + &l_r_prime, + &enable, + &above_guard, + &add_only, + &chain, + inverse, + None, + Some(&support_lender), + None, + ); + circ.into_builder() +} + +fn build_q829_direct_selector_production_callback_harness(inverse: bool) -> B { + const PHYSICAL_WORK_WIDTH: usize = 259; + const SCAN_WIDTH: usize = 257; + + let mut circ = q845_fusion_proof_circuit(); + let phase1 = circ.alloc_qreg("q829.direct-audit.phase1"); + let phase2 = circ.alloc_qreg("q829.direct-audit.phase2"); + let sign = circ.alloc_qreg("q829.direct-audit.sign"); + let work1 = circ.alloc_qreg_bits("q829.direct-audit.work1", PHYSICAL_WORK_WIDTH); + let work2 = circ.alloc_qreg_bits("q829.direct-audit.work2", PHYSICAL_WORK_WIDTH); + let l_t = circ.alloc_qreg_bits("q829.direct-audit.l-t", REFERENCE_LENGTH_WIDTH); + let l_t_prime = circ.alloc_qreg("q829.direct-audit.l-t-prime"); + let l_q = circ.alloc_qreg_bits("q829.direct-audit.l-q", production_l_q_width()); + let l_s = circ.alloc_qreg_bits("q829.direct-audit.l-s", REFERENCE_LENGTH_WIDTH); + let l_r_prime = + circ.alloc_qreg_bits("q829.direct-audit.l-r-prime", REFERENCE_R_LENGTH_WIDTH); + let enable = circ.alloc_qreg("q829.direct-audit.enable"); + let above_guard = circ.alloc_qreg("q829.direct-audit.above-guard"); + let add_only = circ.alloc_qreg("q829.direct-audit.add-only"); + let chain = circ.alloc_qreg_bits("q829.direct-audit.chain", 2); + let support_lender = circ.alloc_qreg("q829.direct-audit.support-lender"); + + coefficient_fused_data_and_sign_q845_swap_only( + &mut circ, + &phase1, + &phase2, + &sign, + &work1[..SCAN_WIDTH], + &work2[..SCAN_WIDTH], + PHYSICAL_WORK_WIDTH, + &l_t, + std::slice::from_ref(&l_t_prime), + &l_s, + &l_r_prime, + &enable, + &above_guard, + &add_only, + &chain, + inverse, + None, + Some(&support_lender), + Some(&l_q), + ); + circ.into_builder() +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct Q839SupportProductionAudit { + borrowed_owned_shots_checked: usize, + lender_clean_entry_checks: usize, + lender_restore_checks: usize, + phase_clean_checks: usize, + ancilla_clean_checks: usize, +} + +impl Q839SupportProductionAudit { + fn add(&mut self, other: Self) { + self.borrowed_owned_shots_checked += other.borrowed_owned_shots_checked; + self.lender_clean_entry_checks += other.lender_clean_entry_checks; + self.lender_restore_checks += other.lender_restore_checks; + self.phase_clean_checks += other.phase_clean_checks; + self.ancilla_clean_checks += other.ancilla_clean_checks; + } +} + +fn q839_support_sample_mask(id: u32) -> u64 { + let mut value = u64::from(id).wrapping_add(0x9e37_79b9_7f4a_7c15); + value = (value ^ (value >> 30)).wrapping_mul(0xbf58_476d_1ce4_e5b9); + value = (value ^ (value >> 27)).wrapping_mul(0x94d0_49bb_1331_11eb); + (value ^ (value >> 31)) & !1 +} + +fn verify_q839_support_production_harness( + label: &[u8], + owned: &PromisedLqSwapProofHarness, + borrowed: &PromisedLqSwapProofHarness, +) -> Q839SupportProductionAudit { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + const SHOTS: usize = 64; + const FIRST_ZERO_PREDICATE_SHOTS: u64 = 0xff; + const ZERO_Q_NONZERO_S_SHOT: u64 = 1 << 8; + const NONZERO_Q_ZERO_S_SHOT: u64 = 1 << 9; + const ZERO_Q_ZERO_S_SHOT: u64 = 1 << 10; + const NONZERO_Q_NONZERO_S_SHOT: u64 = 1 << 11; + const FOUR_ZERO_PREDICATE_CLASSES: u64 = ZERO_Q_NONZERO_S_SHOT + | NONZERO_Q_ZERO_S_SHOT + | ZERO_Q_ZERO_S_SHOT + | NONZERO_Q_NONZERO_S_SHOT; + + assert_eq!(owned.data_ids, borrowed.data_ids); + assert_eq!(owned.l_t_prime_ids, borrowed.l_t_prime_ids); + assert_eq!(owned.l_q_ids, borrowed.l_q_ids); + assert_eq!(owned.l_s_ids, borrowed.l_s_ids); + assert_eq!(owned.preserved_dy_top_id, borrowed.preserved_dy_top_id); + assert!(owned.q839_support_lender_windows.is_empty()); + assert_eq!(borrowed.q839_support_lender_windows.len(), 1); + let window = borrowed.q839_support_lender_windows[0]; + assert_eq!(window.lender_id, borrowed.preserved_dy_top_id); + assert_eq!(owned.builder.peak_qubits, borrowed.builder.peak_qubits + 1); + + let mut owned_seed = Shake128::default(); + owned_seed.update(label); + owned_seed.update(b"-owned"); + let mut owned_xof = owned_seed.finalize_xof(); + let mut borrowed_seed = Shake128::default(); + borrowed_seed.update(label); + borrowed_seed.update(b"-borrowed"); + let mut borrowed_xof = borrowed_seed.finalize_xof(); + let mut owned_simulator = Simulator::new( + owned.builder.next_qubit as usize, + owned.builder.next_bit as usize, + &mut owned_xof, + ); + let mut borrowed_simulator = Simulator::new( + borrowed.builder.next_qubit as usize, + borrowed.builder.next_bit as usize, + &mut borrowed_xof, + ); + for &id in &owned.data_ids { + let mut mask = q839_support_sample_mask(id); + if owned.l_t_prime_ids.contains(&id) { + mask = 0; + } else if owned.l_q_ids.contains(&id) { + mask &= !(FIRST_ZERO_PREDICATE_SHOTS + | ZERO_Q_NONZERO_S_SHOT + | ZERO_Q_ZERO_S_SHOT); + mask |= NONZERO_Q_ZERO_S_SHOT | NONZERO_Q_NONZERO_S_SHOT; + } else if owned.l_s_ids.contains(&id) { + mask &= !(FIRST_ZERO_PREDICATE_SHOTS + | NONZERO_Q_ZERO_S_SHOT + | ZERO_Q_ZERO_S_SHOT); + mask |= ZERO_Q_NONZERO_S_SHOT | NONZERO_Q_NONZERO_S_SHOT; + } + *owned_simulator.qubit_mut(QubitId(u64::from(id))) = mask; + *borrowed_simulator.qubit_mut(QubitId(u64::from(id))) = mask; + } + let zero_predicate_mask = |ids: &[u32]| { + ids.iter().fold(u64::MAX, |mask, &id| { + mask & !owned_simulator.qubit(QubitId(u64::from(id))) + }) + }; + let zero_q_shots = zero_predicate_mask(&owned.l_q_ids); + let zero_s_shots = zero_predicate_mask(&owned.l_s_ids); + assert_eq!( + zero_q_shots, + FIRST_ZERO_PREDICATE_SHOTS | ZERO_Q_NONZERO_S_SHOT | ZERO_Q_ZERO_S_SHOT, + "{label:?} q837 support Zq shots" + ); + assert_eq!( + zero_s_shots, + FIRST_ZERO_PREDICATE_SHOTS | NONZERO_Q_ZERO_S_SHOT | ZERO_Q_ZERO_S_SHOT, + "{label:?} q837 support Zs shots" + ); + assert_eq!( + zero_q_shots & !zero_s_shots, + ZERO_Q_NONZERO_S_SHOT, + "{label:?} q837 support omitted Zq=1,Zs=0 shot" + ); + assert_eq!( + (!zero_q_shots & zero_s_shots) & FOUR_ZERO_PREDICATE_CLASSES, + NONZERO_Q_ZERO_S_SHOT, + "{label:?} q837 support omitted Zq=0,Zs=1 shot" + ); + assert_eq!( + (zero_q_shots & zero_s_shots) & FOUR_ZERO_PREDICATE_CLASSES, + ZERO_Q_ZERO_S_SHOT, + "{label:?} q837 support omitted Zq=1,Zs=1 shot" + ); + assert_eq!( + (!zero_q_shots & !zero_s_shots) & FOUR_ZERO_PREDICATE_CLASSES, + NONZERO_Q_NONZERO_S_SHOT, + "{label:?} q837 support omitted Zq=0,Zs=0 shot" + ); + + borrowed_simulator.apply_iter(borrowed.builder.ops[..window.entry_ops_idx].iter()); + assert_eq!( + borrowed_simulator.qubit(QubitId(u64::from(window.lender_id))), + 0, + "{label:?} q837 support lender dirty at entry" + ); + assert_eq!( + borrowed_simulator.phase, 0, + "{label:?} q837 support phase dirty at entry" + ); + borrowed_simulator.apply_iter( + borrowed.builder.ops[window.entry_ops_idx..window.restore_ops_idx].iter(), + ); + assert_eq!( + borrowed_simulator.qubit(QubitId(u64::from(window.lender_id))), + 0, + "{label:?} q837 support lender dirty at restore" + ); + assert_eq!( + borrowed_simulator.phase, 0, + "{label:?} q837 support phase dirty at restore" + ); + borrowed_simulator.apply_iter(borrowed.builder.ops[window.restore_ops_idx..].iter()); + owned_simulator.apply_iter(owned.builder.ops.iter()); + assert_eq!(owned_simulator.phase, 0, "{label:?} owned support phase"); + assert_eq!(borrowed_simulator.phase, 0, "{label:?} borrowed support phase"); + + for &id in &owned.data_ids { + assert_eq!( + owned_simulator.qubit(QubitId(u64::from(id))), + borrowed_simulator.qubit(QubitId(u64::from(id))), + "{label:?} borrowed support changed external q{id}" + ); + } + assert_eq!( + owned_simulator.qubit(QubitId(u64::from(owned.preserved_dy_top_id))), + 0 + ); + assert_eq!( + borrowed_simulator.qubit(QubitId(u64::from(borrowed.preserved_dy_top_id))), + 0 + ); + + let mut owned_external = vec![false; owned.builder.next_qubit as usize]; + let mut borrowed_external = vec![false; borrowed.builder.next_qubit as usize]; + for &id in &owned.data_ids { + owned_external[id as usize] = true; + borrowed_external[id as usize] = true; + } + owned_external[owned.preserved_dy_top_id as usize] = true; + borrowed_external[borrowed.preserved_dy_top_id as usize] = true; + for id in 0..owned.builder.next_qubit { + if !owned_external[id as usize] { + assert_eq!( + owned_simulator.qubit(QubitId(u64::from(id))), + 0, + "{label:?} owned support left q{id} dirty" + ); + } + } + for id in 0..borrowed.builder.next_qubit { + if !borrowed_external[id as usize] { + assert_eq!( + borrowed_simulator.qubit(QubitId(u64::from(id))), + 0, + "{label:?} borrowed support left q{id} dirty" + ); + } + } + + Q839SupportProductionAudit { + borrowed_owned_shots_checked: SHOTS, + lender_clean_entry_checks: SHOTS, + lender_restore_checks: SHOTS, + phase_clean_checks: 2 * SHOTS, + ancilla_clean_checks: 2 * SHOTS, + } +} + +/// Diagnostic proof for the lender primitives used by the gated seven-plateau +/// cut. It exhausts short carries through production width 9, audits the actual +/// production coefficient callback slices against both ULS lenders, and checks +/// the production mixed-width swap with its preserved-top support lender. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q839_seven_plateau_lender_check() -> Q839SevenPlateauLenderProofReport { + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + unary_iterate_log_star_toggle_target_with_clean_lenders, + }; + + let _environment = Q839SevenPlateauProofEnvironment::capture(); + configure_q839_seven_plateau_proof_environment(); + + let mut short_carry_basis_states_checked = 0usize; + let mut short_carry_increment_checks = 0usize; + let mut short_carry_decrement_checks = 0usize; + let mut short_carry_inverse_checks = 0usize; + let mut short_carry_reversed_op_stream_checks = 0usize; + for width in 2usize..=REFERENCE_LENGTH_WIDTH { + let build = |decrement: bool| { + let mut circ = Circuit::new(); + let control = circ.alloc_input_qreg_bits("q839.short-carry.control", 1); + let register = circ.alloc_input_qreg_bits("q839.short-carry.register", width); + let carries = circ.alloc_qreg_bits("q839.short-carry.carries", width - 2); + let lender = circ.alloc_input_qreg_bits("q839.short-carry.uls-lender", 1); + if decrement { + controlled_decrement_mod_2n_short_carry( + &mut circ, + &control[0], + ®ister, + &carries, + ); + } else { + controlled_increment_mod_2n_short_carry( + &mut circ, + &control[0], + ®ister, + &carries, + ); + } + ( + circ.into_builder(), + control[0].id(), + register.iter().map(QReg::id).collect::>(), + carries.iter().map(QReg::id).collect::>(), + lender[0].id(), + ) + }; + let (increment, control_id, register_ids, carry_ids, lender_id) = build(false); + let ( + decrement, + decrement_control_id, + decrement_register_ids, + decrement_carry_ids, + decrement_lender_id, + ) = build(true); + assert_eq!(control_id, decrement_control_id); + assert_eq!(register_ids, decrement_register_ids); + assert_eq!(carry_ids, decrement_carry_ids); + assert_eq!(lender_id, decrement_lender_id); + assert_eq!( + decrement.ops, + increment.ops.iter().rev().copied().collect::>() + ); + short_carry_reversed_op_stream_checks += 1; + let mask = (1usize << width) - 1; + for control in 0usize..=1 { + for value in 0usize..=mask { + for lender in 0usize..=1 { + let mut input = (control as u64) << control_id; + input |= (lender as u64) << lender_id; + for (bit, id) in register_ids.iter().enumerate() { + input |= (((value >> bit) & 1) as u64) << id; + } + let incremented = apply_scalar(&increment.ops, input); + let actual = register_ids.iter().enumerate().fold( + 0usize, + |word, (bit, id)| { + word | ((((incremented >> id) & 1) as usize) << bit) + }, + ); + assert_eq!( + actual, + value.wrapping_add(control) & mask, + "short-carry width={width} control={control} value={value} lender={lender}" + ); + assert_eq!((incremented >> lender_id) & 1, lender as u64); + assert!(carry_ids + .iter() + .all(|id| ((incremented >> id) & 1) == 0)); + let decremented = apply_scalar(&decrement.ops, input); + let actual_decrement = register_ids.iter().enumerate().fold( + 0usize, + |word, (bit, id)| { + word | ((((decremented >> id) & 1) as usize) << bit) + }, + ); + assert_eq!( + actual_decrement, + value.wrapping_sub(control) & mask, + "short-carry decrement width={width} control={control} value={value} lender={lender}" + ); + assert_eq!((decremented >> lender_id) & 1, lender as u64); + assert!(carry_ids + .iter() + .all(|id| ((decremented >> id) & 1) == 0)); + assert_eq!(apply_scalar(&decrement.ops, incremented), input); + assert_eq!(apply_scalar(&increment.ops, decremented), input); + short_carry_basis_states_checked += 1; + short_carry_increment_checks += 1; + short_carry_decrement_checks += 1; + short_carry_inverse_checks += 2; + } + } + } + } + + let build_uls = |lender_count: usize| { + let mut circ = Circuit::new(); + let lenders = circ.alloc_qreg_bits("q839.uls-proof.lenders", 2); + let counter = circ.alloc_input_qreg_bits("q839.uls-proof.counter", 9); + let target = circ.alloc_input_qreg_bits("q839.uls-proof.target", 1); + let counter_refs: Vec<&QReg> = counter.iter().collect(); + let lender_refs: Vec<&QReg> = lenders.iter().take(lender_count).collect(); + unary_iterate_log_star_toggle_target_with_clean_lenders( + &mut circ, + &counter_refs, + 16, + &lender_refs, + &target[0], + true, + |_, _| {}, + ); + let external_ids: Vec = lenders + .iter() + .chain(&counter) + .chain(std::iter::once(&target[0])) + .map(QReg::id) + .collect(); + let external_mask = external_ids + .iter() + .fold(0u64, |mask, id| mask | (1u64 << id)); + (circ.into_builder(), external_ids, external_mask) + }; + let (uls_baseline, baseline_ids, baseline_mask) = build_uls(0); + let (uls_candidate, candidate_ids, candidate_mask) = build_uls(2); + assert_eq!(baseline_ids, candidate_ids); + assert_eq!(baseline_mask, candidate_mask); + assert_eq!(uls_candidate.peak_qubits + 2, uls_baseline.peak_qubits); + let mut uls_basis_states_checked = 0usize; + for value in 0u64..(1u64 << 10) { + let mut input = 0u64; + for (bit, id) in baseline_ids[2..].iter().enumerate() { + input |= ((value >> bit) & 1) << id; + } + let baseline_output = apply_scalar(&uls_baseline.ops, input); + let candidate_output = apply_scalar(&uls_candidate.ops, input); + assert_eq!(baseline_output & baseline_mask, candidate_output & candidate_mask); + assert_eq!(baseline_output & !baseline_mask, 0); + assert_eq!(candidate_output & !candidate_mask, 0); + uls_basis_states_checked += 1; + } + + reset_sub800_q839_route_coverage(); + begin_q839_uls_callback_audit(); + let production_forward = build_q839_uls_production_callback_harness(false); + let production_inverse = build_q839_uls_production_callback_harness(true); + let uls_callback_audit = finish_q839_uls_callback_audit(); + assert!(!production_forward.ops.is_empty()); + assert!(!production_inverse.ops.is_empty()); + let production_callback_slices_per_direction = 2 * 257; + assert_eq!(uls_callback_audit.forward_calls, 2); + assert_eq!(uls_callback_audit.reverse_calls, 2); + assert_eq!( + uls_callback_audit.forward_callback_slices, + production_callback_slices_per_direction + ); + assert_eq!( + uls_callback_audit.reverse_callback_slices, + production_callback_slices_per_direction + ); + assert_eq!(uls_callback_audit.lender_ids_checked, 8); + assert!(uls_callback_audit.callback_ops_checked > 0); + assert_eq!( + uls_callback_audit.lender_role_checks, + uls_callback_audit.callback_ops_checked * 2 * 3 + ); + let callback_coverage = sub800_q839_route_coverage(); + assert_eq!(callback_coverage.seven_plateau_uls_forward_loans, 2); + assert_eq!(callback_coverage.seven_plateau_uls_reverse_loans, 2); + assert_eq!( + callback_coverage.seven_plateau_short_increments, + production_callback_slices_per_direction + ); + assert_eq!( + callback_coverage.seven_plateau_short_decrements, + production_callback_slices_per_direction + ); + + let mut support_lender_basis_states_checked = 0usize; + let mut support = Circuit::new(); + let zero_q = support.alloc_input_qreg_bits("q839.support-proof.zero-q", 1); + let zero_s = support.alloc_input_qreg_bits("q839.support-proof.zero-s", 1); + let target = support.alloc_input_qreg_bits("q839.support-proof.target", 1); + let lender = support.alloc_qreg("q839.support-proof.lender"); + support.ccx(&zero_q[0], &zero_s[0], &lender); + support.cx(&lender, &target[0]); + support.ccx(&zero_q[0], &zero_s[0], &lender); + let support_ops = support.into_builder().ops; + for input in 0u64..8 { + let encoded = (input & 1) << zero_q[0].id() + | ((input >> 1) & 1) << zero_s[0].id() + | ((input >> 2) & 1) << target[0].id(); + let output = apply_scalar(&support_ops, encoded); + assert_eq!((output >> lender.id()) & 1, 0); + assert_eq!( + (output >> target[0].id()) & 1, + ((input >> 2) & 1) ^ ((input & 1) & ((input >> 1) & 1)) + ); + support_lender_basis_states_checked += 1; + } + + let mut support_production_audit = Q839SupportProductionAudit::default(); + for (inverse, label) in [ + (false, b"q837-support-forward".as_slice()), + (true, b"q837-support-inverse".as_slice()), + ] { + std::env::remove_var(Q839_SEVEN_PLATEAU_LENDERS_FLAG); + let owned = build_promised_l_q_swap_proof_harness_with_widths( + 259, + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + inverse, + PromisedLqSwapRoute::BorrowLq, + true, + ); + std::env::set_var(Q839_SEVEN_PLATEAU_LENDERS_FLAG, "1"); + let borrowed = build_promised_l_q_swap_proof_harness_with_widths( + 259, + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + inverse, + PromisedLqSwapRoute::BorrowLq, + true, + ); + support_production_audit.add(verify_q839_support_production_harness( + label, &owned, &borrowed, + )); + } + let support_coverage = sub800_q839_route_coverage(); + assert_eq!(support_coverage.seven_plateau_support_loans, 2); + assert_eq!(support_coverage.seven_plateau_support_fallbacks, 0); + + Q839SevenPlateauLenderProofReport { + short_carry_widths_checked: REFERENCE_LENGTH_WIDTH - 1, + short_carry_basis_states_checked, + short_carry_increment_checks, + short_carry_decrement_checks, + short_carry_inverse_checks, + short_carry_reversed_op_stream_checks, + uls_basis_states_checked, + uls_peak_lanes_removed: 2, + uls_production_layouts_checked: 2, + uls_forward_calls: uls_callback_audit.forward_calls, + uls_reverse_calls: uls_callback_audit.reverse_calls, + uls_forward_callback_slices: uls_callback_audit.forward_callback_slices, + uls_reverse_callback_slices: uls_callback_audit.reverse_callback_slices, + uls_callback_lender_ids_checked: uls_callback_audit.lender_ids_checked, + uls_callback_ops_checked: uls_callback_audit.callback_ops_checked, + uls_callback_lender_role_checks: uls_callback_audit.lender_role_checks, + support_lender_basis_states_checked, + support_production_directions_checked: 2, + support_borrow_windows_checked: 2, + support_borrowed_owned_shots_checked: support_production_audit + .borrowed_owned_shots_checked, + support_lender_clean_entry_checks: support_production_audit.lender_clean_entry_checks, + support_lender_restore_checks: support_production_audit.lender_restore_checks, + support_phase_clean_checks: support_production_audit.phase_clean_checks, + support_ancilla_clean_checks: support_production_audit.ancilla_clean_checks, + support_peak_lanes_removed: 1, + } +} + +/// Compose the direct unary selector with the Q829 relocated coefficient +/// layout and prove that direct metadata bypasses the older seven-plateau +/// support-workspace branch. This does not claim complete point-add resources +/// or correctness. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q829_direct_selector_composition_check( +) -> Q829DirectSelectorCompositionProofReport { + let _environment = Q839SevenPlateauProofEnvironment::capture(); + configure_q839_seven_plateau_proof_environment(); + std::env::set_var(Q830_DIRECT_SWAP_METADATA_FLAG, "1"); + std::env::set_var(Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, "1"); + + std::env::remove_var(SUB800_ULS_DIRECT_SELECTOR_FLAG); + reset_sub800_q839_route_coverage(); + let baseline_forward = build_q829_direct_selector_production_callback_harness(false); + let baseline_reverse = build_q829_direct_selector_production_callback_harness(true); + let baseline_coverage = sub800_q839_route_coverage(); + assert_eq!(baseline_coverage.uls_direct_forward_calls, 0); + assert_eq!(baseline_coverage.uls_direct_reverse_calls, 0); + assert_eq!(baseline_coverage.seven_plateau_uls_forward_loans, 2); + assert_eq!(baseline_coverage.seven_plateau_uls_reverse_loans, 2); + + std::env::set_var(SUB800_ULS_DIRECT_SELECTOR_FLAG, "1"); + reset_sub800_q839_route_coverage(); + let candidate_forward = build_q829_direct_selector_production_callback_harness(false); + let candidate_reverse = build_q829_direct_selector_production_callback_harness(true); + let callback_coverage = sub800_q839_route_coverage(); + assert_eq!(callback_coverage.uls_direct_forward_calls, 2); + assert_eq!(callback_coverage.uls_direct_reverse_calls, 2); + assert_eq!(callback_coverage.seven_plateau_uls_forward_loans, 0); + assert_eq!(callback_coverage.seven_plateau_uls_reverse_loans, 0); + assert_eq!(candidate_forward.peak_qubits + 1, baseline_forward.peak_qubits); + assert_eq!(candidate_reverse.peak_qubits + 1, baseline_reverse.peak_qubits); + + for inverse in [false, true] { + std::env::remove_var(Q839_SEVEN_PLATEAU_LENDERS_FLAG); + let flag_off = build_promised_l_q_swap_proof_harness_with_widths( + 259, + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + inverse, + PromisedLqSwapRoute::BorrowLq, + true, + ); + std::env::set_var(Q839_SEVEN_PLATEAU_LENDERS_FLAG, "1"); + let flag_on = build_promised_l_q_swap_proof_harness_with_widths( + 259, + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + inverse, + PromisedLqSwapRoute::BorrowLq, + true, + ); + assert_eq!(flag_off.builder.ops, flag_on.builder.ops); + assert_eq!(flag_off.builder.peak_qubits, flag_on.builder.peak_qubits); + assert!(flag_off.q839_support_lender_windows.is_empty()); + assert!(flag_on.q839_support_lender_windows.is_empty()); + } + let final_coverage = sub800_q839_route_coverage(); + assert_eq!(final_coverage.uls_direct_forward_calls, 2); + assert_eq!(final_coverage.uls_direct_reverse_calls, 2); + assert_eq!(final_coverage.seven_plateau_support_loans, 0); + assert_eq!(final_coverage.seven_plateau_support_fallbacks, 0); + + let baseline_forward_counts = measurement_classical_gate_counts(&baseline_forward.ops); + let candidate_forward_counts = measurement_classical_gate_counts(&candidate_forward.ops); + let baseline_reverse_counts = measurement_classical_gate_counts(&baseline_reverse.ops); + let candidate_reverse_counts = measurement_classical_gate_counts(&candidate_reverse.ops); + assert!(candidate_forward_counts.ccx > baseline_forward_counts.ccx); + assert!(candidate_reverse_counts.ccx > baseline_reverse_counts.ccx); + + Q829DirectSelectorCompositionProofReport { + production_directions_checked: 2, + baseline_forward_peak_qubits: baseline_forward.peak_qubits as usize, + candidate_forward_peak_qubits: candidate_forward.peak_qubits as usize, + baseline_reverse_peak_qubits: baseline_reverse.peak_qubits as usize, + candidate_reverse_peak_qubits: candidate_reverse.peak_qubits as usize, + baseline_forward_toffoli: baseline_forward_counts.ccx, + candidate_forward_toffoli: candidate_forward_counts.ccx, + baseline_reverse_toffoli: baseline_reverse_counts.ccx, + candidate_reverse_toffoli: candidate_reverse_counts.ccx, + direct_forward_calls: final_coverage.uls_direct_forward_calls, + direct_reverse_calls: final_coverage.uls_direct_reverse_calls, + seven_plateau_uls_forward_loans: final_coverage.seven_plateau_uls_forward_loans, + seven_plateau_uls_reverse_loans: final_coverage.seven_plateau_uls_reverse_loans, + support_production_directions_checked: 2, + support_borrow_windows_checked: final_coverage.seven_plateau_support_loans, + support_borrowed_owned_shots_checked: 0, + support_lender_clean_entry_checks: 0, + support_lender_restore_checks: 0, + support_phase_clean_checks: 0, + support_ancilla_clean_checks: 0, + support_peak_lanes_removed: 0, + } +} + +#[cfg(test)] +mod q839_seven_plateau_lender_tests { + #[test] + fn production_lender_proof_hardening() { + let report = super::exhaustive_q839_seven_plateau_lender_check(); + assert_eq!(report.short_carry_widths_checked, 8); + assert_eq!(report.short_carry_basis_states_checked, 4_080); + assert_eq!(report.short_carry_reversed_op_stream_checks, 8); + assert_eq!(report.uls_forward_calls, report.uls_reverse_calls); + assert_eq!( + report.uls_forward_callback_slices, + report.uls_reverse_callback_slices + ); + assert_eq!(report.uls_peak_lanes_removed, 2); + assert_eq!(report.support_borrow_windows_checked, 2); + assert_eq!(report.support_peak_lanes_removed, 1); + } +} + +enum Q845SwapOnlyAddress<'a> { + Allocated(Vec), + InPlaceLS(&'a [QReg]), + Q828LsParity(Q828LsParityBridge<'a>), +} + +impl Q845SwapOnlyAddress<'_> { + fn lanes(&self) -> &[QReg] { + match self { + Self::Allocated(address) => address, + Self::InPlaceLS(address) => address, + Self::Q828LsParity(bridge) => &bridge.address, + } + } + + fn is_in_place(&self) -> bool { + matches!(self, Self::InPlaceLS(_)) + } +} + +/// Dynamic coefficient guard used when `l_t_prime` is intentionally zero +/// between swap sites. The global cache becomes a reversible population +/// counter. The baseline allocates a nine-lane address; the sub-800 candidate +/// stores the phase-local affine coordinates directly in `l_s` and restores +/// `l_s` before returning. +struct Q845SwapOnlyCoefficientGuard<'a> { + address: Q845SwapOnlyAddress<'a>, + physical_work_width: usize, + uls_clean_lender: Option<&'a QReg>, + relocation_l_q: Option<&'a [QReg]>, + count_lq_high_host: bool, +} + +fn toggle_register_geq_constant_vchain( + circ: &mut Circuit, + register: &[QReg], + value: usize, + target: &QReg, + scratch: &[QReg], +) { + let width = register.len(); + assert!(width < usize::BITS as usize); + let modulus = 1usize << width; + if value == 0 { + circ.x(target); + return; + } + if value >= modulus { + return; + } + assert!(scratch.len() >= width.saturating_sub(2)); + let scratch_refs = scratch.iter().collect::>(); + + let mut toggle_pattern = |required: &[(usize, bool)]| { + for &(index, expected) in required { + if !expected { + circ.x(®ister[index]); + } + } + let controls = required + .iter() + .map(|&(index, _)| ®ister[index]) + .collect::>(); + multi_controlled_x_vchain_borrowed(circ, &controls, target, &scratch_refs); + for &(index, expected) in required.iter().rev() { + if !expected { + circ.x(®ister[index]); + } + } + }; + + // These terms are disjoint: either the register equals the constant, or + // its highest differing bit is one where the constant has zero. + for differing_bit in (0..width).rev() { + if ((value >> differing_bit) & 1) != 0 { + continue; + } + let mut required = Vec::with_capacity(width - differing_bit); + required.push((differing_bit, true)); + for high_bit in differing_bit + 1..width { + required.push((high_bit, ((value >> high_bit) & 1) != 0)); + } + toggle_pattern(&required); + } + let equality = (0..width) + .map(|index| (index, ((value >> index) & 1) != 0)) + .collect::>(); + toggle_pattern(&equality); +} + +fn toggle_register_geq_constant_dirty( + circ: &mut Circuit, + register: &[QReg], + value: usize, + target: &QReg, + dirty: &[&QReg], +) { + let width = register.len(); + assert!(width < usize::BITS as usize); + let modulus = 1usize << width; + if value == 0 { + circ.x(target); + return; + } + if value >= modulus { + return; + } + assert!(dirty.len() >= width.saturating_sub(2)); + let mut toggle_pattern = |required: &[(usize, bool)]| { + for &(index, expected) in required { + if !expected { + circ.x(®ister[index]); + } + } + let controls = required + .iter() + .map(|&(index, _)| ®ister[index]) + .collect::>(); + mcx_dirty_ladder(circ, &controls, target, dirty); + for &(index, expected) in required.iter().rev() { + if !expected { + circ.x(®ister[index]); + } + } + }; + for differing_bit in (0..width).rev() { + if ((value >> differing_bit) & 1) != 0 { + continue; + } + let mut required = Vec::with_capacity(width - differing_bit); + required.push((differing_bit, true)); + for high_bit in differing_bit + 1..width { + required.push((high_bit, ((value >> high_bit) & 1) != 0)); + } + toggle_pattern(&required); + } + let equality = (0..width) + .map(|index| (index, ((value >> index) & 1) != 0)) + .collect::>(); + toggle_pattern(&equality); +} + +fn toggle_nonzero_dirty( + circ: &mut Circuit, + control: &QReg, + count: &[QReg], + target: &QReg, + dirty: &[&QReg], +) { + circ.cx(control, target); + for bit in count { + circ.x(bit); + } + let controls = std::iter::once(control).chain(count).collect::>(); + if dirty.len() >= controls.len().saturating_sub(2) { + mcx_dirty_ladder(circ, &controls, target, dirty); + } else { + mcx_dirty_ladder_one_short(circ, &controls, target, dirty); + } + for bit in count.iter().rev() { + circ.x(bit); + } +} + +/// Toggle an MCX with one fewer dirty lender than the standard ladder. +/// +/// The first two controls are folded into `dirty[0]`. Two surrounded +/// `(k-1)`-control ladders then cancel the unknown initial value of that +/// lender. Since those inner ladders do not control on `ctrls[0]`, that lane +/// supplies their otherwise missing final dirty lender and is restored after +/// each use. +fn mcx_dirty_ladder_one_short( + circ: &mut Circuit, + ctrls: &[&QReg], + target: &QReg, + dirty: &[&QReg], +) { + let k = ctrls.len(); + assert!(k >= 4); + assert!(dirty.len() >= k - 3, "one-short MCX lender shortage"); + let dirty = &dirty[..k - 3]; + let pivot = dirty[0]; + assert_ne!(pivot.id(), target.id()); + assert!(ctrls.iter().all(|control| control.id() != pivot.id())); + + let inner_controls = std::iter::once(pivot) + .chain(ctrls[2..].iter().copied()) + .collect::>(); + let mut inner_dirty = dirty[1..].to_vec(); + inner_dirty.push(ctrls[0]); + assert_eq!(inner_dirty.len(), inner_controls.len() - 2); + for (index, lender) in inner_dirty.iter().enumerate() { + assert_ne!(lender.id(), target.id()); + assert!( + inner_controls + .iter() + .all(|control| control.id() != lender.id()) + ); + assert!( + inner_dirty[..index] + .iter() + .all(|other| other.id() != lender.id()) + ); + } + + circ.ccx(ctrls[0], ctrls[1], pivot); + mcx_dirty_ladder(circ, &inner_controls, target, &inner_dirty); + circ.ccx(ctrls[0], ctrls[1], pivot); + mcx_dirty_ladder(circ, &inner_controls, target, &inner_dirty); +} + +fn build_q825_one_short_mcx_harness() -> B { + const CONTROLS: usize = 10; + const DIRTY: usize = CONTROLS - 3; + + let mut circ = Circuit::new(); + let controls = circ.alloc_qreg_bits("q825.one-short-mcx.controls", CONTROLS); + let target = circ.alloc_qreg("q825.one-short-mcx.target"); + let dirty = circ.alloc_qreg_bits("q825.one-short-mcx.dirty", DIRTY); + let control_refs = controls.iter().collect::>(); + let dirty_refs = dirty.iter().collect::>(); + mcx_dirty_ladder_one_short(&mut circ, &control_refs, &target, &dirty_refs); + circ.into_builder() +} + +/// Exhaustively validate the exact ten-control, seven-dirty-lender gadget used +/// by the Q825 coefficient nonzero predicate. +#[must_use] +pub fn q825_one_short_mcx_exhaustive_check() -> Q825OneShortMcxProofReport { + const CONTROLS: usize = 10; + const DIRTY: usize = CONTROLS - 3; + const DATA_WIDTH: usize = CONTROLS + 1 + DIRTY; + + let builder = build_q825_one_short_mcx_harness(); + let counts = gate_counts(&builder.ops); + assert_eq!(builder.peak_qubits as usize, DATA_WIDTH); + assert_eq!(builder.active_qubits as usize, DATA_WIDTH); + assert_eq!(counts.x, 0); + assert_eq!(counts.cx, 0); + assert_eq!(counts.ccx, 58); + assert_eq!(counts.total, 58); + + let control_mask = (1u64 << CONTROLS) - 1; + let target_mask = 1u64 << CONTROLS; + let preserved_mask = ((1u64 << DATA_WIDTH) - 1) ^ target_mask; + let mut preserved_lane_checks = 0usize; + let mut inverse_pair_checks = 0usize; + for input in 0..(1u64 << DATA_WIDTH) { + let predicate = input & control_mask == control_mask; + let expected = input ^ (u64::from(predicate) << CONTROLS); + let output = apply_scalar(&builder.ops, input); + assert_eq!(output, expected); + assert_eq!(output & preserved_mask, input & preserved_mask); + assert_eq!(apply_scalar(&builder.ops, output), input); + preserved_lane_checks += 1; + inverse_pair_checks += 1; + } + + Q825OneShortMcxProofReport { + controls: CONTROLS, + dirty_lenders: DIRTY, + basis_states_checked: 1usize << DATA_WIDTH, + preserved_lane_checks, + inverse_pair_checks, + peak_qubits: builder.peak_qubits as usize, + emitted_toffoli: counts.ccx, + } +} + +impl<'a> Q845SwapOnlyCoefficientGuard<'a> { + fn clean_q828_host(&self) -> Option<&'a QReg> { + match &self.address { + Q845SwapOnlyAddress::Q828LsParity(bridge) => Some(bridge.host), + Q845SwapOnlyAddress::Allocated(_) | Q845SwapOnlyAddress::InPlaceLS(_) => None, + } + } + + fn relocated_dirty_lenders(&self) -> Vec<&'a QReg> { + let l_q = self + .relocation_l_q + .expect("relocated coefficient counter lenders"); + let mut dirty = l_q.iter().collect::>(); + if dirty.len() < 7 { + let host = self + .uls_clean_lender + .expect("six-lq route requires the Q828 host lender"); + assert!(dirty.iter().all(|lane| lane.id() != host.id())); + dirty.push(host); + } + assert!(dirty.len() >= 7); + dirty + } + + fn relocated_count_disjoint_dirty_lenders<'b>( + &'b self, + count: &[QReg], + extra: &[&'b QReg], + ) -> Vec<&'b QReg> { + let l_q = self + .relocation_l_q + .expect("relocated coefficient counter lenders"); + let count_ids = count.iter().map(QReg::id).collect::>(); + let mut dirty = Vec::new(); + for lane in l_q { + if !count_ids.contains(&lane.id()) { + dirty.push(lane); + } + } + if let Some(host) = self.uls_clean_lender { + if !count_ids.contains(&host.id()) && dirty.iter().all(|lane| lane.id() != host.id()) { + dirty.push(host); + } + } + for &lane in extra { + assert!( + !count_ids.contains(&lane.id()), + "Q824 coefficient dirty lender aliases the hosted count" + ); + if dirty.iter().all(|other| other.id() != lane.id()) { + dirty.push(lane); + } + } + assert!( + dirty.len() >= 7, + "Q824 coefficient hosted count needs seven count-disjoint dirty lenders" + ); + dirty + } + + fn prepare( + circ: &mut Circuit, + physical_work_width: usize, + count: &[QReg], + l_s: &'a [QReg], + l_r_prime: &[QReg], + carry: &QReg, + overflow: &QReg, + phase1: &'a QReg, + q828_entry_parity: Option, + uls_clean_lender: Option<&'a QReg>, + relocation_l_q: Option<&'a [QReg]>, + count_lq_high_host: bool, + ) -> Self { + assert_eq!(count.len(), l_s.len()); + assert_l_r_prime_metadata_width(count.len(), l_r_prime.len()); + assert!(physical_work_width < (1usize << count.len())); + if q830_coefficient_counter_relocation_requested() { + assert_eq!( + relocation_l_q.map(|lanes| lanes.len()), + Some(production_l_q_width()), + "relocated coefficient count requires the production l_q lenders" + ); + } + if q828_ls_parity_requested() { + assert!(sub800_inplace_guard_address_requested()); + assert!(q830_coefficient_counter_relocation_requested()); + assert_eq!(l_s.len(), REFERENCE_LENGTH_WIDTH); + let entry_parity = q828_entry_parity.expect("q828 coefficient entry parity"); + let host = uls_clean_lender.expect("q828 hosted l_s low lane"); + assert_eq!(l_s[0].id(), host.id()); + let l_q_dirty = relocation_l_q.expect("q828 relocated counter lenders"); + let bridge = Q828LsParityBridge::prepare( + circ, + count, + &l_s[1..], + l_r_prime, + l_q_dirty, + host, + phase1, + entry_parity, + carry, + ); + return Self { + address: Q845SwapOnlyAddress::Q828LsParity(bridge), + physical_work_width, + uls_clean_lender, + relocation_l_q, + count_lq_high_host, + }; + } + assert!(q828_entry_parity.is_none()); + if sub800_inplace_guard_address_requested() { + let address = l_s.iter().collect::>(); + let scratch = count.iter().collect::>(); + affine_complement_constant_refs( + circ, + &address, + physical_work_width, + &scratch, + ); + let source = l_r_prime + .iter() + .chain(count.iter().skip(l_r_prime.len())) + .collect::>(); + assert_eq!(source.len(), l_s.len()); + cuccaro_sub_mod_2n_no_overflow_refs(circ, &source, l_s, carry); + return Self { + address: Q845SwapOnlyAddress::InPlaceLS(l_s), + physical_work_width, + uls_clean_lender, + relocation_l_q, + count_lq_high_host, + }; + } + + let address = circ.alloc_qreg_bits("rs.q845-swap-only.address", count.len()); + toggle_constant(circ, &address, physical_work_width); + + for (source, destination) in l_s.iter().zip(count) { + circ.cx(source, destination); + } + cuccaro_sub_mod_2n(circ, count, &address, carry, overflow); + for (source, destination) in l_s.iter().zip(count) { + circ.cx(source, destination); + } + for (source, destination) in l_r_prime.iter().zip(count) { + circ.cx(source, destination); + } + cuccaro_sub_mod_2n(circ, count, &address, carry, overflow); + for (source, destination) in l_r_prime.iter().zip(count) { + circ.cx(source, destination); + } + + Self { + address: Q845SwapOnlyAddress::Allocated(address), + physical_work_width, + uls_clean_lender, + relocation_l_q, + count_lq_high_host, + } + } + + fn accumulate( + &self, + circ: &mut Circuit, + lower_negative: &QReg, + active: &QReg, + work_bit: &QReg, + count: &[QReg], + count_scratch: &[QReg], + condition: &QReg, + condition_scratch: &QReg, + ) { + multi_controlled_x_vchain_borrowed( + circ, + &[lower_negative, active, work_bit], + condition, + &[condition_scratch], + ); + if q830_coefficient_counter_relocation_requested() { + assert_eq!(count.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(count_scratch.len(), 6); + controlled_increment_mod_2n_nested_2_3_4( + circ, + condition, + count, + &count_scratch[..5], + condition_scratch, + &count_scratch[5], + ); + } else if q839_seven_plateau_lenders_requested() { + assert_eq!(count.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(count_scratch.len(), count.len() - 2); + Q839_SEVEN_PLATEAU_SHORT_INCREMENTS.fetch_add(1, Ordering::Relaxed); + controlled_increment_mod_2n_short_carry(circ, condition, count, count_scratch); + } else { + controlled_increment_mod_2n(circ, condition, count, count_scratch); + } + multi_controlled_x_vchain_borrowed( + circ, + &[lower_negative, active, work_bit], + condition, + &[condition_scratch], + ); + } + + fn unaccumulate( + &self, + circ: &mut Circuit, + lower_negative: &QReg, + active: &QReg, + work_bit: &QReg, + count: &[QReg], + count_scratch: &[QReg], + condition: &QReg, + condition_scratch: &QReg, + ) { + multi_controlled_x_vchain_borrowed( + circ, + &[lower_negative, active, work_bit], + condition, + &[condition_scratch], + ); + if q830_coefficient_counter_relocation_requested() { + assert_eq!(count.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(count_scratch.len(), 6); + controlled_decrement_mod_2n_nested_2_3_4( + circ, + condition, + count, + &count_scratch[..5], + condition_scratch, + &count_scratch[5], + ); + } else if q839_seven_plateau_lenders_requested() { + assert_eq!(count.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(count_scratch.len(), count.len() - 2); + Q839_SEVEN_PLATEAU_SHORT_DECREMENTS.fetch_add(1, Ordering::Relaxed); + controlled_decrement_mod_2n_short_carry(circ, condition, count, count_scratch); + } else { + controlled_decrement_mod_2n(circ, condition, count, count_scratch); + } + multi_controlled_x_vchain_borrowed( + circ, + &[lower_negative, active, work_bit], + condition, + &[condition_scratch], + ); + } + + fn for_each_forward( + &self, + circ: &mut Circuit, + scan_width: usize, + active: &QReg, + range_scratch: &[QReg], + mut body: F, + ) + where + F: FnMut(&mut Circuit, usize, &QReg), + { + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + sub800_uls_production_callback_index, + unary_iterate_direct_toggle_target_with_clean_scratch, + unary_iterate_direct_toggle_target_with_dirty_scratch, + unary_iterate_log_star_toggle_target_with_clean_lender, + unary_iterate_log_star_toggle_target_with_clean_lenders, + unary_iterate_log_star_with_clean_lender, + }; + + assert!(scan_width <= self.physical_work_width); + circ.x(active); + let address = self.address.lanes().iter().collect::>(); + let truncated = q851_truncated_swap_only_guard_requested() + && scan_width < self.physical_work_width; + let n_iters = if truncated { + scan_width + 1 + } else { + self.physical_work_width + 1 + }; + if sub800_uls_direct_selector_requested() { + SUB800_Q838_ULS_DIRECT_FORWARD_CALLS.fetch_add(1, Ordering::Relaxed); + if self.relocation_l_q.is_some() { + let dirty = self.relocated_dirty_lenders(); + unary_iterate_direct_toggle_target_with_dirty_scratch( + circ, + &address, + n_iters, + &dirty[..7], + active, + true, + |circ, callback_index| { + if let Some(index) = sub800_uls_production_callback_index( + self.physical_work_width, + scan_width, + truncated, + false, + callback_index, + ) { + body(circ, index, active); + } + }, + ); + } else { + let selector_scratch = range_scratch.iter().collect::>(); + unary_iterate_direct_toggle_target_with_clean_scratch( + circ, + &address, + n_iters, + &selector_scratch, + active, + true, + |circ, callback_index| { + if let Some(index) = sub800_uls_production_callback_index( + self.physical_work_width, + scan_width, + truncated, + false, + callback_index, + ) { + body(circ, index, active); + } + }, + ); + } + } else if sub800_uls_fused_target_requested() { + SUB800_Q839_ULS_FUSED_FORWARD_CALLS.fetch_add(1, Ordering::Relaxed); + if q839_seven_plateau_lenders_requested() { + assert_eq!(range_scratch.len(), REFERENCE_LENGTH_WIDTH - 1); + let lenders: Vec<&QReg> = if let Some(l_q) = self.relocation_l_q { + vec![&l_q[6], &l_q[7]] + } else { + let cursor_lender = range_scratch + .last() + .expect("seven-plateau ULS cursor lender"); + self.uls_clean_lender + .into_iter() + .chain(std::iter::once(cursor_lender)) + .collect() + }; + Q839_SEVEN_PLATEAU_ULS_FORWARD_LOANS.fetch_add(1, Ordering::Relaxed); + let audit_callbacks = + record_q839_uls_callback_call(Q839UlsCallbackDirection::Forward, &lenders); + unary_iterate_log_star_toggle_target_with_clean_lenders( + circ, + &address, + n_iters, + &lenders, + active, + true, + |circ, index| { + if index < scan_width { + if audit_callbacks { + let callback_start = begin_q839_uls_callback_slice(circ); + body(circ, index, active); + finish_q839_uls_callback_slice( + circ, + Q839UlsCallbackDirection::Forward, + &lenders, + callback_start, + ); + } else { + body(circ, index, active); + } + } + }, + ); + } else { + unary_iterate_log_star_toggle_target_with_clean_lender( + circ, + &address, + n_iters, + self.uls_clean_lender, + active, + true, + |circ, index| { + if index < scan_width { + body(circ, index, active); + } + }, + ); + } + } else { + unary_iterate_log_star_with_clean_lender( + circ, + &address, + n_iters, + self.uls_clean_lender, + |circ, index, gate| { + circ.cx(gate, active); + if index < scan_width { + body(circ, index, active); + } + }, + ); + } + if truncated { + if self.relocation_l_q.is_some() { + let dirty = self.relocated_dirty_lenders(); + toggle_register_geq_constant_dirty( + circ, + self.address.lanes(), + scan_width + 1, + active, + &dirty, + ); + } else { + toggle_register_geq_constant_vchain( + circ, + self.address.lanes(), + scan_width + 1, + active, + range_scratch, + ); + } + } + } + + fn for_each_reverse( + &self, + circ: &mut Circuit, + scan_width: usize, + active: &QReg, + range_scratch: &[QReg], + constant_scratch: &[&QReg], + constant_carry: &QReg, + mut body: F, + ) + where + F: FnMut(&mut Circuit, usize, &QReg), + { + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + sub800_uls_production_callback_index, + unary_iterate_direct_toggle_target_with_clean_scratch, + unary_iterate_direct_toggle_target_with_dirty_scratch, + unary_iterate_log_star_toggle_target_with_clean_lender, + unary_iterate_log_star_toggle_target_with_clean_lenders, + unary_iterate_log_star_with_clean_lender, + }; + + assert!(scan_width <= self.physical_work_width); + assert_eq!(constant_scratch.len(), self.address.lanes().len()); + let truncated = q851_truncated_swap_only_guard_requested() + && scan_width < self.physical_work_width; + let delta = self.physical_work_width - scan_width; + if truncated { + if self.relocation_l_q.is_some() { + let address = self.address.lanes().iter().collect::>(); + let dirty = self.relocated_dirty_lenders(); + sub_constant_dirty_refs(circ, &address, delta, &dirty); + toggle_register_geq_constant_dirty( + circ, + self.address.lanes(), + scan_width + 1, + active, + &dirty, + ); + } else { + for (index, bit) in constant_scratch.iter().enumerate() { + if ((delta >> index) & 1) != 0 { + circ.x(bit); + } + } + cuccaro_sub_mod_2n_no_overflow_refs( + circ, + constant_scratch, + self.address.lanes(), + constant_carry, + ); + for (index, bit) in constant_scratch.iter().enumerate() { + if ((delta >> index) & 1) != 0 { + circ.x(bit); + } + } + toggle_register_geq_constant_vchain( + circ, + self.address.lanes(), + scan_width + 1, + active, + range_scratch, + ); + } + } + let address = self.address.lanes().iter().collect::>(); + let n_iters = if truncated { + scan_width + 1 + } else { + self.physical_work_width + 1 + }; + if sub800_uls_direct_selector_requested() { + SUB800_Q838_ULS_DIRECT_REVERSE_CALLS.fetch_add(1, Ordering::Relaxed); + if self.relocation_l_q.is_some() { + let dirty = self.relocated_dirty_lenders(); + unary_iterate_direct_toggle_target_with_dirty_scratch( + circ, + &address, + n_iters, + &dirty[..7], + active, + false, + |circ, reverse_index| { + if let Some(index) = sub800_uls_production_callback_index( + self.physical_work_width, + scan_width, + truncated, + true, + reverse_index, + ) { + body(circ, index, active); + } + }, + ); + } else { + let selector_scratch = range_scratch.iter().collect::>(); + unary_iterate_direct_toggle_target_with_clean_scratch( + circ, + &address, + n_iters, + &selector_scratch, + active, + false, + |circ, reverse_index| { + if let Some(index) = sub800_uls_production_callback_index( + self.physical_work_width, + scan_width, + truncated, + true, + reverse_index, + ) { + body(circ, index, active); + } + }, + ); + } + } else if sub800_uls_fused_target_requested() { + SUB800_Q839_ULS_FUSED_REVERSE_CALLS.fetch_add(1, Ordering::Relaxed); + if q839_seven_plateau_lenders_requested() { + assert_eq!(range_scratch.len(), REFERENCE_LENGTH_WIDTH - 1); + let lenders: Vec<&QReg> = if let Some(l_q) = self.relocation_l_q { + vec![&l_q[6], &l_q[7]] + } else { + let cursor_lender = range_scratch + .last() + .expect("seven-plateau ULS cursor lender"); + self.uls_clean_lender + .into_iter() + .chain(std::iter::once(cursor_lender)) + .collect() + }; + Q839_SEVEN_PLATEAU_ULS_REVERSE_LOANS.fetch_add(1, Ordering::Relaxed); + let audit_callbacks = + record_q839_uls_callback_call(Q839UlsCallbackDirection::Reverse, &lenders); + unary_iterate_log_star_toggle_target_with_clean_lenders( + circ, + &address, + n_iters, + &lenders, + active, + false, + |circ, reverse_index| { + if let Some(index) = sub800_uls_production_callback_index( + self.physical_work_width, + scan_width, + truncated, + true, + reverse_index, + ) { + if audit_callbacks { + let callback_start = begin_q839_uls_callback_slice(circ); + body(circ, index, active); + finish_q839_uls_callback_slice( + circ, + Q839UlsCallbackDirection::Reverse, + &lenders, + callback_start, + ); + } else { + body(circ, index, active); + } + } + }, + ); + } else { + unary_iterate_log_star_toggle_target_with_clean_lender( + circ, + &address, + n_iters, + self.uls_clean_lender, + active, + false, + |circ, reverse_index| { + if let Some(index) = sub800_uls_production_callback_index( + self.physical_work_width, + scan_width, + truncated, + true, + reverse_index, + ) { + body(circ, index, active); + } + }, + ); + } + } else { + unary_iterate_log_star_with_clean_lender( + circ, + &address, + n_iters, + self.uls_clean_lender, + |circ, reverse_index, gate| { + let index = if truncated { + scan_width - reverse_index + } else { + self.physical_work_width - reverse_index + }; + if index < scan_width { + body(circ, index, active); + } + circ.cx(gate, active); + }, + ); + } + circ.x(active); + if truncated { + if self.relocation_l_q.is_some() { + let address = self.address.lanes().iter().collect::>(); + let dirty = self.relocated_dirty_lenders(); + add_constant_dirty_refs(circ, &address, delta, &dirty); + } else { + for (index, bit) in constant_scratch.iter().enumerate() { + if ((delta >> index) & 1) != 0 { + circ.x(bit); + } + } + cuccaro_add_mod_2n_no_overflow_refs( + circ, + constant_scratch, + self.address.lanes(), + constant_carry, + ); + for (index, bit) in constant_scratch.iter().enumerate() { + if ((delta >> index) & 1) != 0 { + circ.x(bit); + } + } + } + } + } + + fn toggle_nonzero( + &self, + circ: &mut Circuit, + control: &QReg, + count: &[QReg], + target: &QReg, + scratch: &[QReg], + extra_dirty_lenders: &[&QReg], + ) { + if self.relocation_l_q.is_some() { + let dirty = if self.count_lq_high_host { + self.relocated_count_disjoint_dirty_lenders(count, extra_dirty_lenders) + } else { + self.relocated_dirty_lenders() + }; + toggle_nonzero_dirty(circ, control, count, target, &dirty); + return; + } + assert!(scratch.len() >= count.len().saturating_sub(1)); + circ.cx(control, target); + for bit in count { + circ.x(bit); + } + let controls: Vec<&QReg> = std::iter::once(control).chain(count).collect(); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + multi_controlled_x_vchain_borrowed(circ, &controls, target, &scratch_refs); + for bit in count { + circ.x(bit); + } + } + + fn prepare_reverse_boundary( + &self, + circ: &mut Circuit, + source: &[&QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + carry: &QReg, + overflow: &QReg, + ) { + assert_eq!(source.len(), self.address.lanes().len()); + if let Q845SwapOnlyAddress::Q828LsParity(bridge) = &self.address { + bridge.prepare_reverse_boundary( + circ, + self.relocation_l_q + .expect("q828 reverse boundary dirty lenders"), + ); + return; + } + if self.address.is_in_place() { + let address = self.address.lanes().iter().collect::>(); + if let Some(l_q) = self.relocation_l_q { + let dirty = l_q.iter().take(6).collect::>(); + affine_complement_constant_dirty_refs( + circ, + &address, + self.physical_work_width, + &dirty, + ); + } else { + affine_complement_constant_refs( + circ, + &address, + self.physical_work_width, + source, + ); + } + return; + } + for (bit, destination) in l_r_prime.iter().zip(source) { + circ.cx(bit, destination); + } + cuccaro_add_mod_2n_refs(circ, source, self.address.lanes(), carry, overflow); + for (bit, destination) in l_r_prime.iter().zip(source) { + circ.cx(bit, destination); + } + for (bit, destination) in l_s.iter().zip(source) { + circ.cx(bit, destination); + } + cuccaro_add_mod_2n_refs(circ, source, self.address.lanes(), carry, overflow); + for (bit, destination) in l_s.iter().zip(source) { + circ.cx(bit, destination); + } + toggle_constant(circ, self.address.lanes(), self.physical_work_width); + + for (bit, destination) in l_s.iter().zip(source) { + circ.cx(bit, destination); + } + cuccaro_add_mod_2n_refs(circ, source, self.address.lanes(), carry, overflow); + for (bit, destination) in l_s.iter().zip(source) { + circ.cx(bit, destination); + } + for (bit, destination) in l_r_prime.iter().zip(source) { + circ.cx(bit, destination); + } + cuccaro_add_mod_2n_refs(circ, source, self.address.lanes(), carry, overflow); + for (bit, destination) in l_r_prime.iter().zip(source) { + circ.cx(bit, destination); + } + } + + fn finish( + self, + circ: &mut Circuit, + count: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + carry: &QReg, + overflow: &QReg, + ) { + match self.address { + Q845SwapOnlyAddress::Allocated(address) => { + for (bit, destination) in l_r_prime.iter().zip(count) { + circ.cx(bit, destination); + } + cuccaro_sub_mod_2n(circ, count, &address, carry, overflow); + for (bit, destination) in l_r_prime.iter().zip(count) { + circ.cx(bit, destination); + } + for (bit, destination) in l_s.iter().zip(count) { + circ.cx(bit, destination); + } + cuccaro_sub_mod_2n(circ, count, &address, carry, overflow); + for (bit, destination) in l_s.iter().zip(count) { + circ.cx(bit, destination); + } + free_clean(circ, address); + } + Q845SwapOnlyAddress::InPlaceLS(address) => { + assert!(address + .iter() + .zip(l_s) + .all(|(left, right)| left.id() == right.id())); + let source = l_r_prime + .iter() + .chain(count.iter().skip(l_r_prime.len())) + .collect::>(); + assert_eq!(source.len(), address.len()); + cuccaro_sub_mod_2n_no_overflow_refs(circ, &source, address, carry); + } + Q845SwapOnlyAddress::Q828LsParity(bridge) => { + bridge.finish(circ, count, l_r_prime, carry); + } + } + } +} + +#[derive(Clone, Copy)] +enum Sub800GuardProofStage { + Prepare, + ReverseBoundary, + FullRoundtrip, +} + +struct Sub800GuardProofHarness { + builder: B, + l_s_ids: Vec, + l_r_prime_ids: Vec, + scratch_ids: Vec, +} + +fn build_sub800_guard_proof_harness(stage: Sub800GuardProofStage) -> Sub800GuardProofHarness { + let mut circ = Circuit::new(); + let l_s = circ.alloc_qreg_bits("sub800.guard-proof.l-s", REFERENCE_LENGTH_WIDTH); + let l_r_prime = + circ.alloc_qreg_bits("sub800.guard-proof.l-r-prime", REFERENCE_R_LENGTH_WIDTH); + let count = circ.alloc_qreg_bits("sub800.guard-proof.count", REFERENCE_LENGTH_WIDTH); + let carry = circ.alloc_qreg("sub800.guard-proof.carry"); + let overflow = circ.alloc_qreg("sub800.guard-proof.overflow"); + let phase1 = circ.alloc_qreg("sub800.guard-proof.phase1"); + let reverse_source = + circ.alloc_qreg_bits("sub800.guard-proof.reverse-source", REFERENCE_LENGTH_WIDTH); + + { + let guard = Q845SwapOnlyCoefficientGuard::prepare( + &mut circ, + 259, + &count, + &l_s, + &l_r_prime, + &carry, + &overflow, + &phase1, + None, + None, + None, + false, + ); + if matches!( + stage, + Sub800GuardProofStage::ReverseBoundary | Sub800GuardProofStage::FullRoundtrip + ) { + let source = reverse_source.iter().collect::>(); + guard.prepare_reverse_boundary( + &mut circ, + &source, + &l_s, + &l_r_prime, + &carry, + &overflow, + ); + } + if matches!(stage, Sub800GuardProofStage::FullRoundtrip) { + guard.finish( + &mut circ, + &count, + &l_s, + &l_r_prime, + &carry, + &overflow, + ); + } + } + + let l_s_ids = l_s.iter().map(QReg::id).collect::>(); + let l_r_prime_ids = l_r_prime.iter().map(QReg::id).collect::>(); + let scratch_ids = count + .iter() + .chain(std::iter::once(&carry)) + .chain(std::iter::once(&overflow)) + .chain(&reverse_source) + .map(QReg::id) + .collect::>(); + Sub800GuardProofHarness { + builder: circ.into_builder(), + l_s_ids, + l_r_prime_ids, + scratch_ids, + } +} + +fn sub800_guard_expected(stage: Sub800GuardProofStage, l_s: usize, l_r_prime: usize) -> usize { + match stage { + Sub800GuardProofStage::Prepare => 259usize.wrapping_sub(l_s).wrapping_sub(l_r_prime) & 511, + Sub800GuardProofStage::ReverseBoundary => l_s.wrapping_add(l_r_prime) & 511, + Sub800GuardProofStage::FullRoundtrip => l_s, + } +} + +fn verify_sub800_guard_harness( + stage: Sub800GuardProofStage, + harness: &Sub800GuardProofHarness, +) -> (usize, usize, usize, usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + let mut basis_states_checked = 0usize; + let mut coordinate_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let state_count = 512usize * 256usize; + for batch_start in (0..state_count).step_by(64) { + let mut seed = Shake128::default(); + seed.update(b"sub800-inplace-guard-address-v1"); + seed.update(&[stage as u8]); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for shot in 0..64 { + let state = batch_start + shot; + let l_s = state & 511; + let l_r_prime = (state >> 9) & 255; + for (bit, id) in harness.l_s_ids.iter().enumerate() { + if ((l_s >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(*id))) |= 1u64 << shot; + } + } + for (bit, id) in harness.l_r_prime_ids.iter().enumerate() { + if ((l_r_prime >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(*id))) |= 1u64 << shot; + } + } + } + + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase, 0, "sub800 guard forward phase garbage"); + for (bit, id) in harness.l_s_ids.iter().enumerate() { + let expected = (0..64).fold(0u64, |plane, shot| { + let state = batch_start + shot; + let l_s = state & 511; + let l_r_prime = (state >> 9) & 255; + plane + | ((((sub800_guard_expected(stage, l_s, l_r_prime) >> bit) & 1) as u64) + << shot) + }); + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), expected); + } + for (bit, id) in harness.l_r_prime_ids.iter().enumerate() { + let expected = (0..64).fold(0u64, |plane, shot| { + let l_r_prime = ((batch_start + shot) >> 9) & 255; + plane | ((((l_r_prime >> bit) & 1) as u64) << shot) + }); + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), expected); + } + for id in &harness.scratch_ids { + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), 0); + } + + simulator.apply_iter(harness.builder.ops.iter().rev()); + assert_eq!(simulator.phase, 0, "sub800 guard inverse phase garbage"); + for (bit, id) in harness.l_s_ids.iter().enumerate() { + let expected = (0..64).fold(0u64, |plane, shot| { + let l_s = (batch_start + shot) & 511; + plane | ((((l_s >> bit) & 1) as u64) << shot) + }); + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), expected); + } + for (bit, id) in harness.l_r_prime_ids.iter().enumerate() { + let expected = (0..64).fold(0u64, |plane, shot| { + let l_r_prime = ((batch_start + shot) >> 9) & 255; + plane | ((((l_r_prime >> bit) & 1) as u64) << shot) + }); + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), expected); + } + for id in &harness.scratch_ids { + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), 0); + } + + basis_states_checked += 64; + coordinate_checks += 64; + inverse_pair_checks += 64; + scratch_clean_checks += 2 * 64; + phase_clean_checks += 2 * 64; + ancilla_clean_checks += 2 * 64; + } + ( + basis_states_checked, + coordinate_checks, + inverse_pair_checks, + scratch_clean_checks, + phase_clean_checks, + ancilla_clean_checks, + ) +} + +/// Exhaustively verify the three affine-coordinate stages used by the +/// default-off sub-800 guard-address candidate. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_sub800_inplace_guard_address_check() -> Sub800InplaceGuardAddressProofReport { + let saved = std::env::var_os(SUB800_INPLACE_GUARD_ADDRESS_FLAG); + std::env::set_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG, "1"); + let stages = [ + Sub800GuardProofStage::Prepare, + Sub800GuardProofStage::ReverseBoundary, + Sub800GuardProofStage::FullRoundtrip, + ]; + let harnesses = stages.map(build_sub800_guard_proof_harness); + let mut totals = [0usize; 6]; + for (stage, harness) in stages.into_iter().zip(&harnesses) { + let report = verify_sub800_guard_harness(stage, harness); + for (total, value) in totals.iter_mut().zip([ + report.0, report.1, report.2, report.3, report.4, report.5, + ]) { + *total += value; + } + } + match saved { + Some(value) => std::env::set_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG, value), + None => std::env::remove_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG), + } + + Sub800InplaceGuardAddressProofReport { + stages_checked: stages.len(), + basis_states_checked: totals[0], + coordinate_checks: totals[1], + inverse_pair_checks: totals[2], + scratch_clean_checks: totals[3], + phase_clean_checks: totals[4], + ancilla_clean_checks: totals[5], + allocated_address_lanes: 0, + prepare: gate_counts(&harnesses[0].builder.ops), + reverse_boundary: gate_counts(&harnesses[1].builder.ops), + full_roundtrip: gate_counts(&harnesses[2].builder.ops), + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Q828LsParityBridgeStage { + Prepare, + ReverseBoundary, + FullRoundtrip, +} + +struct Q828LsParityBridge<'a> { + address: Vec, + host: &'a QReg, + phase1: &'a QReg, + entry_parity: bool, +} + +fn toggle_q828_ls_mid_bit( + circ: &mut Circuit, + target: &QReg, + phase1: &QReg, + entry_parity: bool, +) { + // The coefficient phase sees b = entry_parity XOR 1 XOR phase1. + if !entry_parity { + circ.x(target); + } + circ.cx(phase1, target); +} + +fn toggle_q828_one_xor_ls_mid_bit( + circ: &mut Circuit, + target: &QReg, + phase1: &QReg, + entry_parity: bool, +) { + // 1 XOR b = entry_parity XOR phase1. + if entry_parity { + circ.x(target); + } + circ.cx(phase1, target); +} + +impl<'a> Q828LsParityBridge<'a> { + #[allow(clippy::too_many_arguments)] + fn prepare( + circ: &mut Circuit, + count: &[QReg], + l_s_high: &'a [QReg], + l_r_prime: &[QReg], + l_q_dirty: &[QReg], + host: &'a QReg, + phase1: &'a QReg, + entry_parity: bool, + carry: &QReg, + ) -> Self { + assert_eq!(count.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(l_s_high.len() + 1, count.len()); + assert_eq!(l_r_prime.len() + 1, count.len()); + assert!(l_q_dirty.len() >= 6); + assert!(l_s_high.iter().all(|lane| lane.id() != host.id())); + assert!(l_r_prime.iter().all(|lane| lane.id() != host.id())); + assert!(l_q_dirty.iter().all(|lane| lane.id() != host.id())); + + let full_l_s = std::iter::once(host.borrowed_alias()) + .chain(l_s_high.iter().map(QReg::borrowed_alias)) + .collect::>(); + let full_refs = full_l_s.iter().collect::>(); + let clean_scratch = count.iter().collect::>(); + affine_complement_constant_refs(circ, &full_refs, 259, &clean_scratch); + let remainder_source = l_r_prime + .iter() + .chain(count.iter().skip(l_r_prime.len())) + .collect::>(); + assert_eq!(remainder_source.len(), full_l_s.len()); + cuccaro_sub_mod_2n_no_overflow_refs(circ, &remainder_source, &full_l_s, carry); + + // The low address bit is a0 = 1 XOR b XOR r0. Toggling r0 by + // 1 XOR b copies a0 into its own lane, after which it clears the host. + let remainder_low = &l_r_prime[0]; + toggle_q828_one_xor_ls_mid_bit( + circ, + remainder_low, + phase1, + entry_parity, + ); + circ.cx(remainder_low, host); + + let address = std::iter::once(remainder_low.borrowed_alias()) + .chain(l_s_high.iter().map(QReg::borrowed_alias)) + .collect::>(); + let address_ids = address.iter().map(QReg::id).collect::>(); + assert_eq!(address_ids.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(address_ids[0], remainder_low.id()); + assert!(address_ids[1..] + .iter() + .zip(l_s_high) + .all(|(left, right)| *left == right.id())); + assert!(address.iter().all(|lane| lane.id() != host.id())); + assert!(l_q_dirty[..6] + .iter() + .all(|lane| address.iter().all(|address_lane| lane.id() != address_lane.id()))); + + Self { + address, + host, + phase1, + entry_parity, + } + } + + fn prepare_reverse_boundary(&self, circ: &mut Circuit, l_q_dirty: &[QReg]) { + assert!(l_q_dirty.len() >= 6); + let address = self.address.iter().collect::>(); + let dirty = l_q_dirty[..6].iter().collect::>(); + affine_complement_constant_dirty_refs(circ, &address, 259, &dirty); + } + + fn finish( + self, + circ: &mut Circuit, + count: &[QReg], + l_r_prime: &[QReg], + carry: &QReg, + ) { + assert_eq!(count.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(l_r_prime.len(), REFERENCE_R_LENGTH_WIDTH); + assert_eq!(self.address[0].id(), l_r_prime[0].id()); + + // Keep the host clean through both ULS scans. Once the reverse scan is + // complete, the low address bit is b XOR r0; recreate b and xor that + // address bit to recover the original r0 in the host. + toggle_q828_ls_mid_bit( + circ, + self.host, + self.phase1, + self.entry_parity, + ); + circ.cx(&self.address[0], self.host); + let source = std::iter::once(self.host) + .chain(l_r_prime.iter().skip(1)) + .chain(count.iter().skip(l_r_prime.len())) + .collect::>(); + assert_eq!(source.len(), self.address.len()); + cuccaro_sub_mod_2n_no_overflow_refs(circ, &source, &self.address, carry); + + // The address is L again and the host contains the original r0. + // Swap restores r0 and leaves the logical low bit b in the host. The + // caller still needs that bit for post-shift and phase update; it is + // erased only at the scheduled-step boundary. + circ.cx(self.host, &self.address[0]); + circ.cx(&self.address[0], self.host); + circ.cx(self.host, &self.address[0]); + } +} + +struct Q828LsParityBridgeHarness { + builder: B, + phase1_id: u32, + host_id: u32, + high_ids: Vec, + l_r_prime_ids: Vec, + l_q_dirty_ids: Vec, + scratch_ids: Vec, + external: Vec, +} + +fn build_q828_ls_parity_bridge_harness( + stage: Q828LsParityBridgeStage, + entry_parity: bool, +) -> Q828LsParityBridgeHarness { + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("q828.ls-bridge.phase1"); + let host = circ.alloc_qreg("q828.ls-bridge.host"); + let high = circ.alloc_qreg_bits("q828.ls-bridge.high", REFERENCE_LENGTH_WIDTH - 1); + let l_r_prime = + circ.alloc_qreg_bits("q828.ls-bridge.l-r-prime", REFERENCE_R_LENGTH_WIDTH); + let l_q_dirty = circ.alloc_qreg_bits("q828.ls-bridge.l-q-dirty", SUB820_L_Q_WIDTH); + let count = circ.alloc_qreg_bits("q828.ls-bridge.count", REFERENCE_LENGTH_WIDTH); + let carry = circ.alloc_qreg("q828.ls-bridge.carry"); + + let bridge = Q828LsParityBridge::prepare( + &mut circ, + &count, + &high, + &l_r_prime, + &l_q_dirty, + &host, + &phase1, + entry_parity, + &carry, + ); + if matches!( + stage, + Q828LsParityBridgeStage::ReverseBoundary | Q828LsParityBridgeStage::FullRoundtrip + ) { + bridge.prepare_reverse_boundary(&mut circ, &l_q_dirty); + } + if matches!(stage, Q828LsParityBridgeStage::FullRoundtrip) { + bridge.finish(&mut circ, &count, &l_r_prime, &carry); + } + + let phase1_id = phase1.id(); + let host_id = host.id(); + let high_ids = high.iter().map(QReg::id).collect::>(); + let l_r_prime_ids = l_r_prime.iter().map(QReg::id).collect::>(); + let l_q_dirty_ids = l_q_dirty.iter().map(QReg::id).collect::>(); + let scratch_ids = count + .iter() + .chain(std::iter::once(&carry)) + .map(QReg::id) + .collect::>(); + let builder = circ.into_builder(); + let mut external = vec![false; builder.next_qubit as usize]; + for id in std::iter::once(phase1_id) + .chain(std::iter::once(host_id)) + .chain(high_ids.iter().copied()) + .chain(l_r_prime_ids.iter().copied()) + .chain(l_q_dirty_ids.iter().copied()) + .chain(scratch_ids.iter().copied()) + { + external[id as usize] = true; + } + Q828LsParityBridgeHarness { + builder, + phase1_id, + host_id, + high_ids, + l_r_prime_ids, + l_q_dirty_ids, + scratch_ids, + external, + } +} + +fn q828_bridge_dirty_value(state: usize, entry_parity: bool) -> usize { + let mut value = (state as u64) + ^ ((state as u64) >> 7) + ^ 0xa5u64 + ^ ((entry_parity as u64) << 3); + value ^= value << 13; + value ^= value >> 17; + value ^= value << 5; + value as usize & 255 +} + +fn q828_bridge_expected_address( + stage: Q828LsParityBridgeStage, + logical_l_s: usize, + l_r_prime: usize, +) -> Option { + match stage { + Q828LsParityBridgeStage::Prepare => Some( + 259usize.wrapping_sub(logical_l_s).wrapping_sub(l_r_prime) & 511, + ), + Q828LsParityBridgeStage::ReverseBoundary => { + Some(logical_l_s.wrapping_add(l_r_prime) & 511) + } + Q828LsParityBridgeStage::FullRoundtrip => None, + } +} + +fn verify_q828_ls_parity_bridge_harness( + stage: Q828LsParityBridgeStage, + entry_parity: bool, + harness: &Q828LsParityBridgeHarness, +) -> [usize; 9] { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + let state_count = 2usize * 256usize * 256usize; + let mut totals = [0usize; 9]; + for batch_start in (0..state_count).step_by(64) { + let mut seed = Shake128::default(); + seed.update(b"q828-ls-parity-coefficient-bridge-v1"); + seed.update(&[stage as u8, entry_parity as u8]); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for shot in 0..64usize { + let state = batch_start + shot; + let phase1 = (state & 1) != 0; + let high = (state >> 1) & 255; + let l_r_prime = (state >> 9) & 255; + let mid = entry_parity ^ true ^ phase1; + if phase1 { + *simulator.qubit_mut(QubitId(u64::from(harness.phase1_id))) |= 1u64 << shot; + } + if mid { + *simulator.qubit_mut(QubitId(u64::from(harness.host_id))) |= 1u64 << shot; + } + for (bit, id) in harness.high_ids.iter().enumerate() { + if ((high >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(*id))) |= 1u64 << shot; + } + } + for (bit, id) in harness.l_r_prime_ids.iter().enumerate() { + if ((l_r_prime >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(*id))) |= 1u64 << shot; + } + } + let dirty = q828_bridge_dirty_value(state, entry_parity); + for (bit, id) in harness.l_q_dirty_ids.iter().enumerate() { + if ((dirty >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(*id))) |= 1u64 << shot; + } + } + } + + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase, 0, "q828 l_s bridge forward phase garbage"); + for shot in 0..64usize { + let state = batch_start + shot; + let phase1 = (state & 1) != 0; + let high = (state >> 1) & 255; + let l_r_prime = (state >> 9) & 255; + let mid = entry_parity ^ true ^ phase1; + let logical_l_s = (high << 1) | usize::from(mid); + if let Some(expected_address) = + q828_bridge_expected_address(stage, logical_l_s, l_r_prime) + { + let address_low = + simulator.qubit(QubitId(u64::from(harness.l_r_prime_ids[0]))); + let mut address = usize::from(((address_low >> shot) & 1) != 0); + for (bit, id) in harness.high_ids.iter().enumerate() { + address |= usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0, + ) << (bit + 1); + } + assert_eq!(address, expected_address); + for (bit, id) in harness.l_r_prime_ids.iter().enumerate().skip(1) { + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0, + ), + (l_r_prime >> bit) & 1 + ); + } + } + let expected_host = usize::from( + matches!(stage, Q828LsParityBridgeStage::FullRoundtrip) && mid, + ); + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(harness.host_id))) >> shot) & 1) != 0 + ), + expected_host + ); + if matches!(stage, Q828LsParityBridgeStage::FullRoundtrip) { + for (bit, id) in harness.high_ids.iter().enumerate() { + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0, + ), + (high >> bit) & 1 + ); + } + let restored_r = harness.l_r_prime_ids.iter().enumerate().fold( + 0usize, + |value, (bit, id)| { + value + | (usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0, + ) << bit) + }, + ); + assert_eq!(restored_r, l_r_prime); + totals[2] += 1; + } + let restored_dirty = harness.l_q_dirty_ids.iter().enumerate().fold( + 0usize, + |value, (bit, id)| { + value + | (usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0, + ) << bit) + }, + ); + assert_eq!(restored_dirty, q828_bridge_dirty_value(state, entry_parity)); + totals[3] += 1; + } + for id in &harness.scratch_ids { + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), 0); + } + for (id, &external) in harness.external.iter().enumerate() { + if !external { + assert_eq!(simulator.qubit(QubitId(id as u64)), 0); + } + } + + simulator.apply_iter(harness.builder.ops.iter().rev()); + assert_eq!(simulator.phase, 0, "q828 l_s bridge inverse phase garbage"); + for shot in 0..64usize { + let state = batch_start + shot; + let phase1 = (state & 1) != 0; + let high = (state >> 1) & 255; + let l_r_prime = (state >> 9) & 255; + let mid = entry_parity ^ true ^ phase1; + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(harness.host_id))) >> shot) & 1) != 0 + ), + usize::from(mid) + ); + for (bit, id) in harness.high_ids.iter().enumerate() { + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0 + ), + (high >> bit) & 1 + ); + } + for (bit, id) in harness.l_r_prime_ids.iter().enumerate() { + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0 + ), + (l_r_prime >> bit) & 1 + ); + } + let dirty = q828_bridge_dirty_value(state, entry_parity); + for (bit, id) in harness.l_q_dirty_ids.iter().enumerate() { + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0 + ), + (dirty >> bit) & 1 + ); + } + } + for id in &harness.scratch_ids { + assert_eq!(simulator.qubit(QubitId(u64::from(*id))), 0); + } + for (id, &external) in harness.external.iter().enumerate() { + if !external { + assert_eq!(simulator.qubit(QubitId(id as u64)), 0); + } + } + + totals[0] += 64; + totals[1] += 64; + totals[4] += 64; + totals[5] += 2 * 64; + totals[6] += 2 * 64; + totals[7] += 2 * 64; + totals[8] += 64; + } + totals +} + +/// Exhaustively prove the coefficient-address bridge needed by the split +/// `l_s` representation. This is a local reversible miter, not a Q828 claim. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q828_ls_parity_bridge_check() -> Q828LsParityBridgeProofReport { + let stages = [ + Q828LsParityBridgeStage::Prepare, + Q828LsParityBridgeStage::ReverseBoundary, + Q828LsParityBridgeStage::FullRoundtrip, + ]; + let mut harnesses = Vec::new(); + let mut totals = [0usize; 9]; + for stage in stages { + for entry_parity in [false, true] { + let harness = build_q828_ls_parity_bridge_harness(stage, entry_parity); + let stage_totals = + verify_q828_ls_parity_bridge_harness(stage, entry_parity, &harness); + for (total, value) in totals.iter_mut().zip(stage_totals) { + *total += value; + } + harnesses.push(harness); + } + } + + let paired_counts = |first: usize| { + let left = gate_counts(&harnesses[first].builder.ops); + let right = gate_counts(&harnesses[first + 1].builder.ops); + RegisterSharedGateCounts { + x: left.x + right.x, + cx: left.cx + right.cx, + ccx: left.ccx + right.ccx, + total: left.total + right.total, + } + }; + Q828LsParityBridgeProofReport { + stages_checked: stages.len(), + basis_states_checked: totals[0], + coordinate_checks: totals[1], + host_checks: totals[8], + remainder_low_checks: totals[2], + dirty_lender_restoration_checks: totals[3], + inverse_pair_checks: totals[4], + scratch_clean_checks: totals[5], + phase_clean_checks: totals[6], + ancilla_clean_checks: totals[7], + allocated_address_lanes: 0, + prepare: paired_counts(0), + reverse_boundary: paired_counts(2), + full_roundtrip: paired_counts(4), + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Q828TerminalRotationStage { + Forward, + Roundtrip, +} + +struct Q828TerminalRotationHarness { + builder: B, + low_id: u32, + high_ids: Vec, + baseline_ids: Vec, + candidate_ids: Vec, + external: Vec, +} + +fn build_q828_terminal_rotation_harness( + width: usize, + stage: Q828TerminalRotationStage, +) -> Q828TerminalRotationHarness { + assert!(width >= 2); + let mut circ = Circuit::new(); + let low = circ.alloc_qreg("q828.terminal.low"); + let high = circ.alloc_qreg_bits("q828.terminal.high", REFERENCE_LENGTH_WIDTH - 1); + let baseline = circ.alloc_qreg_bits("q828.terminal.baseline", width); + let candidate = circ.alloc_qreg_bits("q828.terminal.candidate", width); + let full_amount = std::iter::once(low.borrowed_alias()) + .chain(high.iter().map(QReg::borrowed_alias)) + .collect::>(); + + circ.x(&low); + variable_rotate_high(&mut circ, &full_amount, &baseline); + q828_terminal_rotate_high(&mut circ, &high, &candidate); + if matches!(stage, Q828TerminalRotationStage::Roundtrip) { + q828_terminal_rotate_low(&mut circ, &high, &candidate); + variable_rotate_low(&mut circ, &full_amount, &baseline); + circ.x(&low); + } + + let low_id = low.id(); + let high_ids = high.iter().map(QReg::id).collect::>(); + let baseline_ids = baseline.iter().map(QReg::id).collect::>(); + let candidate_ids = candidate.iter().map(QReg::id).collect::>(); + let builder = circ.into_builder(); + let mut external = vec![false; builder.next_qubit as usize]; + for id in std::iter::once(low_id) + .chain(high_ids.iter().copied()) + .chain(baseline_ids.iter().copied()) + .chain(candidate_ids.iter().copied()) + { + external[id as usize] = true; + } + Q828TerminalRotationHarness { + builder, + low_id, + high_ids, + baseline_ids, + candidate_ids, + external, + } +} + +fn q828_terminal_one_hot_position( + simulator: &crate::sim::Simulator<'_, R>, + ids: &[u32], + shot: usize, +) -> usize { + use crate::circuit::QubitId; + + let mut position = None; + for (index, id) in ids.iter().enumerate() { + if ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0 { + assert!(position.is_none(), "q828 terminal register is not one-hot"); + position = Some(index); + } + } + position.expect("q828 terminal register lost its one-hot bit") +} + +fn verify_q828_terminal_rotation_harness( + width: usize, + stage: Q828TerminalRotationStage, + harness: &Q828TerminalRotationHarness, +) -> [usize; 8] { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + let state_count = 256usize * width; + let mut totals = [0usize; 8]; + for batch_start in (0..state_count).step_by(64) { + let mut seed = Shake128::default(); + seed.update(b"q828-terminal-rotation-v1"); + seed.update(&(width as u64).to_le_bytes()); + seed.update(&[stage as u8]); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for shot in 0..64usize { + let state = batch_start + shot; + let high = state / width; + let position = state % width; + for (bit, id) in harness.high_ids.iter().enumerate() { + if ((high >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(*id))) |= 1u64 << shot; + } + } + *simulator.qubit_mut(QubitId(u64::from(harness.baseline_ids[position]))) |= + 1u64 << shot; + *simulator.qubit_mut(QubitId(u64::from(harness.candidate_ids[position]))) |= + 1u64 << shot; + } + + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase, 0, "q828 terminal forward phase garbage"); + for shot in 0..64usize { + let state = batch_start + shot; + let high = state / width; + let position = state % width; + let baseline_position = + q828_terminal_one_hot_position(&simulator, &harness.baseline_ids, shot); + let candidate_position = + q828_terminal_one_hot_position(&simulator, &harness.candidate_ids, shot); + assert_eq!(candidate_position, baseline_position); + totals[1] += 1; + let expected = match stage { + Q828TerminalRotationStage::Forward => { + (position + ((2 * high + 1) % width)) % width + } + Q828TerminalRotationStage::Roundtrip => position, + }; + assert_eq!(candidate_position, expected); + match stage { + Q828TerminalRotationStage::Forward => totals[2] += 1, + Q828TerminalRotationStage::Roundtrip => totals[3] += 1, + } + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(harness.low_id))) >> shot) & 1) != 0 + ), + usize::from(matches!(stage, Q828TerminalRotationStage::Forward)) + ); + for (bit, id) in harness.high_ids.iter().enumerate() { + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0, + ), + (high >> bit) & 1 + ); + } + totals[4] += 1; + } + for (id, &external) in harness.external.iter().enumerate() { + if !external { + assert_eq!(simulator.qubit(QubitId(id as u64)), 0); + } + } + + simulator.apply_iter(harness.builder.ops.iter().rev()); + assert_eq!(simulator.phase, 0, "q828 terminal inverse phase garbage"); + for shot in 0..64usize { + let state = batch_start + shot; + let high = state / width; + let position = state % width; + assert_eq!( + q828_terminal_one_hot_position(&simulator, &harness.baseline_ids, shot), + position + ); + assert_eq!( + q828_terminal_one_hot_position(&simulator, &harness.candidate_ids, shot), + position + ); + assert_eq!(simulator.qubit(QubitId(u64::from(harness.low_id))) >> shot & 1, 0); + for (bit, id) in harness.high_ids.iter().enumerate() { + assert_eq!( + usize::from( + ((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) != 0, + ), + (high >> bit) & 1 + ); + } + totals[5] += 1; + } + for (id, &external) in harness.external.iter().enumerate() { + if !external { + assert_eq!(simulator.qubit(QubitId(id as u64)), 0); + } + } + + totals[0] += 64; + totals[6] += 2 * 64; + totals[7] += 2 * 64; + } + totals +} + +/// Prove the terminal identity `L=2H+1` against the baseline full-register +/// rotation. The complete 259-lane production permutation is included. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q828_terminal_rotation_check() -> Q828TerminalRotationProofReport { + let widths = (2usize..=17) + .chain(std::iter::once(REGISTER_SHARED_WORK_WIDTH)) + .collect::>(); + let stages = [ + Q828TerminalRotationStage::Forward, + Q828TerminalRotationStage::Roundtrip, + ]; + let mut totals = [0usize; 8]; + for width in widths.iter().copied() { + for stage in stages { + let harness = build_q828_terminal_rotation_harness(width, stage); + let stage_totals = verify_q828_terminal_rotation_harness(width, stage, &harness); + for (total, value) in totals.iter_mut().zip(stage_totals) { + *total += value; + } + } + } + Q828TerminalRotationProofReport { + widths_checked: widths, + stages_checked: stages.len(), + basis_states_checked: totals[0], + baseline_candidate_equivalence_checks: totals[1], + forward_coordinate_checks: totals[2], + roundtrip_checks: totals[3], + control_restore_checks: totals[4], + inverse_pair_checks: totals[5], + phase_clean_checks: totals[6], + ancilla_clean_checks: totals[7], + production_width: REGISTER_SHARED_WORK_WIDTH, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Q851CoefficientCursorDirection { + Decrement, + Increment, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Q851CoefficientCursorTraversal { + InverseForward, + InverseReverse, + ForwardForward, + ForwardReverse, +} + +fn q851_coefficient_cursor_transition( + traversal: Q851CoefficientCursorTraversal, + index: usize, + scan_width: usize, +) -> Option<(usize, Q851CoefficientCursorDirection)> { + assert!(index < scan_width); + match traversal { + Q851CoefficientCursorTraversal::InverseForward => index + .checked_sub(1) + .map(|event| (event, Q851CoefficientCursorDirection::Decrement)), + Q851CoefficientCursorTraversal::InverseReverse => (index + 1 != scan_width) + .then_some((index, Q851CoefficientCursorDirection::Increment)), + Q851CoefficientCursorTraversal::ForwardForward => (index + 1 != scan_width) + .then_some((index, Q851CoefficientCursorDirection::Decrement)), + Q851CoefficientCursorTraversal::ForwardReverse => index + .checked_sub(1) + .map(|event| (event, Q851CoefficientCursorDirection::Increment)), + } +} + +fn toggle_q851_fixed_sign_event( + circ: &mut Circuit, + signed_length: &[QReg], + transition_index: usize, + scratch: &[QReg], +) { + assert_eq!(signed_length.len(), REFERENCE_LENGTH_WIDTH); + assert!( + scratch.len() >= REFERENCE_LENGTH_WIDTH - 3, + "fixed-sign cursor event requires six clean v-chain lanes" + ); + assert!(transition_index < 256); + for (index, lane) in signed_length.iter().enumerate() { + for other in &signed_length[index + 1..] { + assert_ne!(lane.id(), other.id(), "coefficient cursor aliases itself"); + } + for other in scratch { + assert_ne!(lane.id(), other.id(), "coefficient cursor aliases scratch"); + } + } + for (index, lane) in scratch.iter().enumerate() { + for other in &scratch[index + 1..] { + assert_ne!(lane.id(), other.id(), "coefficient scratch aliases itself"); + } + } + + if q830_dirty_fixed_sign_event_requested() + || q830_coefficient_counter_relocation_requested() + { + let low = &signed_length[..REFERENCE_LENGTH_WIDTH - 1]; + for (bit, lane) in low.iter().enumerate() { + if transition_index & (1usize << bit) == 0 { + circ.x(lane); + } + } + let controls = low.iter().collect::>(); + let dirty = scratch[..REFERENCE_LENGTH_WIDTH - 3] + .iter() + .collect::>(); + mcx_dirty_ladder( + circ, + &controls, + signed_length.last().expect("nonempty signed length"), + &dirty, + ); + for (bit, lane) in low.iter().enumerate().rev() { + if transition_index & (1usize << bit) == 0 { + circ.x(lane); + } + } + return; + } + + // For 0 <= i <= 256, + // MSB((L - i) mod 512) = MSB(L) XOR [i > (L mod 256)]. + // The transition after body i therefore toggles only when L mod 256 = i. + let low = &signed_length[..REFERENCE_LENGTH_WIDTH - 1]; + for (bit, lane) in low.iter().enumerate() { + if transition_index & (1usize << bit) == 0 { + circ.x(lane); + } + } + let controls = low.iter().collect::>(); + multi_controlled_x_vchain( + circ, + &controls, + signed_length.last().expect("nonempty signed length"), + scratch, + ); + for (bit, lane) in low.iter().enumerate().rev() { + if transition_index & (1usize << bit) == 0 { + circ.x(lane); + } + } +} + +fn transition_q851_coefficient_cursor( + circ: &mut Circuit, + signed_length: &[QReg], + scan_width: usize, + transition_index: usize, + scratch: &[QReg], + direction: Q851CoefficientCursorDirection, +) { + let fixed_sign_domain = signed_length.len() == REFERENCE_LENGTH_WIDTH && scan_width <= 257; + if q851_fixed_sign_event_requested() && fixed_sign_domain { + toggle_q851_fixed_sign_event(circ, signed_length, transition_index, scratch); + return; + } + match direction { + Q851CoefficientCursorDirection::Decrement => { + decrement_mod_2n(circ, signed_length, scratch) + } + Q851CoefficientCursorDirection::Increment => { + increment_mod_2n(circ, signed_length, scratch) + } + } +} + +#[allow(clippy::too_many_arguments)] +fn transition_q851_coefficient_cursor_at_body( + circ: &mut Circuit, + signed_length: &[QReg], + scan_width: usize, + index: usize, + scratch: &[QReg], + traversal: Q851CoefficientCursorTraversal, +) { + if let Some((transition_index, direction)) = + q851_coefficient_cursor_transition(traversal, index, scan_width) + { + transition_q851_coefficient_cursor( + circ, + signed_length, + scan_width, + transition_index, + scratch, + direction, + ); + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Q845FusedCoefficientBody { + AddForward, + AddReverse, + SubForward, + SubReverse, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct Q826CoefficientHostTrace { + calls: usize, + entry_ops_idx: usize, + restore_ops_idx: usize, + lane_id: u32, + borrowed: bool, +} + +thread_local! { + static Q826_COEFFICIENT_HOST_TRACE: std::cell::Cell<( + bool, + Q826CoefficientHostTrace, + )> = std::cell::Cell::new((false, Q826CoefficientHostTrace { + calls: 0, + entry_ops_idx: 0, + restore_ops_idx: 0, + lane_id: 0, + borrowed: false, + })); +} + +fn begin_q826_coefficient_host_trace() { + Q826_COEFFICIENT_HOST_TRACE.with(|trace| { + trace.set((true, Q826CoefficientHostTrace::default())); + }); +} + +fn finish_q826_coefficient_host_trace() -> Q826CoefficientHostTrace { + Q826_COEFFICIENT_HOST_TRACE.with(|trace| { + let (_, snapshot) = trace.get(); + trace.set((false, snapshot)); + snapshot + }) +} + +fn record_q826_coefficient_host_entry(circ: &Circuit, lane: &QReg, borrowed: bool) { + Q826_COEFFICIENT_HOST_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + assert_eq!(snapshot.calls, 0, "Q826 coefficient trace supports one call"); + snapshot.calls = 1; + snapshot.entry_ops_idx = circ.total_ops() as usize; + snapshot.lane_id = lane.id(); + snapshot.borrowed = borrowed; + trace.set((enabled, snapshot)); + } + }); +} + +fn record_q826_coefficient_host_restore(circ: &Circuit) { + Q826_COEFFICIENT_HOST_TRACE.with(|trace| { + let (enabled, mut snapshot) = trace.get(); + if enabled { + assert_eq!(snapshot.calls, 1, "Q826 coefficient restore without entry"); + snapshot.restore_ops_idx = circ.total_ops() as usize; + trace.set((enabled, snapshot)); + } + }); +} + +fn emit_q845_fused_coefficient_body( + circ: &mut Circuit, + body: Q845FusedCoefficientBody, + active: &QReg, + carry: &QReg, + work1: &QReg, + work2: &QReg, + tmp: &QReg, +) { + match body { + Q845FusedCoefficientBody::AddForward => { + circ.ccx(active, carry, work2); + circ.ccx(active, carry, work1); + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + } + Q845FusedCoefficientBody::AddReverse => { + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, work1); + circ.ccx(active, work1, work2); + } + Q845FusedCoefficientBody::SubForward => { + circ.ccx(active, work1, work2); + circ.ccx(active, carry, work1); + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + } + Q845FusedCoefficientBody::SubReverse => { + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, work1); + circ.ccx(active, carry, work2); + } + } +} + +#[allow(clippy::too_many_arguments)] +fn toggle_output_coefficient_enable_q845_inline_underflow( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + carry: &QReg, + above_guard: &QReg, + enable: &QReg, + scratch: &[&QReg], +) { + assert_eq!(scratch.len(), 3); + // phase1 AND (phase2 OR sign_out OR (carry AND !above_guard)), split + // into disjoint terms. The final five-control term borrows add_only as its + // third v-chain lane only at cuts where add_only is proved zero. + circ.ccx(phase1, phase2, enable); + circ.x(phase2); + multi_controlled_x_vchain_borrowed(circ, &[phase1, phase2, sign], enable, scratch); + circ.x(sign); + circ.x(above_guard); + multi_controlled_x_vchain_borrowed( + circ, + &[phase1, phase2, sign, carry, above_guard], + enable, + scratch, + ); + circ.x(above_guard); + circ.x(sign); + circ.x(phase2); +} + +#[allow(clippy::too_many_arguments)] +fn coefficient_fused_data_and_sign_q845_swap_only( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + physical_work_width: usize, + l_t: &[QReg], + l_t_prime: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + enable: &QReg, + above_guard: &QReg, + add_only: &QReg, + chain: &[QReg], + inverse: bool, + q828_entry_parity: Option, + uls_clean_lender: Option<&QReg>, + relocation_l_q: Option<&[QReg]>, +) { + assert_eq!(work1.len(), work2.len()); + assert!(!work1.is_empty()); + assert_eq!(l_t.len(), l_s.len()); + assert_l_r_prime_metadata_width(l_t.len(), l_r_prime.len()); + assert_eq!(chain.len(), 2); + let relocate_count = q830_coefficient_counter_relocation_requested(); + if relocate_count { + assert_eq!(l_t.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(l_t_prime.len(), 1); + assert_eq!(relocation_l_q.map(|lanes| lanes.len()), Some(production_l_q_width())); + assert!(uls_clean_lender.is_some()); + } else { + assert_eq!(l_t.len(), l_t_prime.len()); + assert!(relocation_l_q.is_none()); + } + + let host_count_lq_high = relocate_count && q824_coefficient_lq_high_host_requested(); + if host_count_lq_high { + let l_q = relocation_l_q.expect("Q824 coefficient count host requires l_q lenders"); + assert!( + l_q.len() > 5, + "Q824 coefficient count host requires the clean l_q[5] support lane" + ); + assert!( + uls_clean_lender.is_some(), + "Q824 coefficient count host requires the Q828 host scratch lender" + ); + } + + let relocation_cursor_scratch = relocate_count.then(|| { + circ.alloc_qreg_bits( + "rs.q845-swap-only.cursor-scratch", + l_t.len().saturating_sub(1 + usize::from(host_count_lq_high)), + ) + }); + let count_storage = if let Some(cursor_scratch) = relocation_cursor_scratch.as_ref() { + let mut storage = cursor_scratch + .iter() + .map(QReg::borrowed_alias) + .collect::>(); + if host_count_lq_high { + storage.push( + relocation_l_q.expect("Q824 coefficient count host l_q")[5].borrowed_alias(), + ); + } + storage.extend(l_t_prime.iter().map(QReg::borrowed_alias)); + storage + } else { + l_t_prime.iter().map(QReg::borrowed_alias).collect::>() + }; + + let guard = Q845SwapOnlyCoefficientGuard::prepare( + circ, + physical_work_width, + &count_storage, + l_s, + l_r_prime, + &chain[0], + &chain[1], + phase1, + q828_entry_parity, + uls_clean_lender, + relocation_l_q, + host_count_lq_high, + ); + let cursor_scratch = relocation_cursor_scratch.unwrap_or_else(|| { + circ.alloc_qreg_bits( + "rs.q845-swap-only.cursor-scratch", + l_t.len().saturating_sub(1), + ) + }); + let callback_cursor_scratch = if let Some(l_q) = relocation_l_q { + if host_count_lq_high { + l_q[..5] + .iter() + .map(QReg::borrowed_alias) + .chain(std::iter::once( + uls_clean_lender + .expect("Q824 coefficient cursor scratch lender") + .borrowed_alias(), + )) + .collect::>() + } else { + l_q[..6] + .iter() + .map(QReg::borrowed_alias) + .collect::>() + } + } else if q839_seven_plateau_lenders_requested() { + assert_eq!(cursor_scratch.len(), REFERENCE_LENGTH_WIDTH - 1); + cursor_scratch[..cursor_scratch.len() - 1] + .iter() + .map(QReg::borrowed_alias) + .collect::>() + } else { + cursor_scratch.iter().map(QReg::borrowed_alias).collect::>() + }; + let callback_counter_scratch = if let Some(l_q) = relocation_l_q { + if host_count_lq_high { + l_q[..5] + .iter() + .map(QReg::borrowed_alias) + .chain(std::iter::once( + uls_clean_lender + .expect("Q824 coefficient counter scratch lender") + .borrowed_alias(), + )) + .collect::>() + } else { + l_q[..6] + .iter() + .map(QReg::borrowed_alias) + .collect::>() + } + } else { + callback_cursor_scratch + .iter() + .map(QReg::borrowed_alias) + .collect::>() + }; + assert_eq!(count_storage.len(), REFERENCE_LENGTH_WIDTH); + let coefficient_active = &chain[0]; + let tmp = &chain[1]; + let nonzero_extra_dirty_lenders: Vec<&QReg> = + host_count_lq_high.then_some(tmp).into_iter().collect(); + let output_scratch = [&chain[0], &chain[1], add_only]; + let lower_negative = l_t.last().expect("nonempty coefficient cursor"); + let bracket = production_coefficient_nonnegative_bracket(); + // Rejected experiment: Q827 also uses this Q828 host as the seventh ULS + // counter scratch between coefficient bits, while the carry stays live. + let borrowed_carry = q826_coefficient_l_s_host_requested().then(|| { + let host = guard + .clean_q828_host() + .expect("Q826 coefficient host must be the cleared Q828 l_s parity lane"); + for (label, lane) in std::iter::once(("phase1", phase1)) + .chain(std::iter::once(("phase2", phase2))) + .chain(std::iter::once(("sign", sign))) + .chain(std::iter::once(("enable", enable))) + .chain(std::iter::once(("above-guard", above_guard))) + .chain(std::iter::once(("add-only", add_only))) + .chain(work1.iter().map(|lane| ("work1", lane))) + .chain(work2.iter().map(|lane| ("work2", lane))) + .chain(l_t.iter().map(|lane| ("l-t", lane))) + .chain(l_t_prime.iter().map(|lane| ("l-t-prime", lane))) + .chain(l_r_prime.iter().map(|lane| ("l-r-prime", lane))) + .chain(chain.iter().map(|lane| ("chain", lane))) + .chain(count_storage.iter().map(|lane| ("count", lane))) + .chain(cursor_scratch.iter().map(|lane| ("cursor-scratch", lane))) + .chain(guard.address.lanes().iter().map(|lane| ("guard-address", lane))) + { + assert_ne!(host.id(), lane.id(), "Q826 coefficient host aliases {label}"); + } + host + }); + let owned_carry = borrowed_carry + .is_none() + .then(|| circ.alloc_qreg("rs.q845-swap-only.carry")); + let carry = borrowed_carry + .or(owned_carry.as_ref()) + .expect("coefficient carry route"); + record_q826_coefficient_host_entry(circ, carry, borrowed_carry.is_some()); + + if inverse { + guard.for_each_forward( + circ, + work1.len(), + above_guard, + &cursor_scratch, + |circ, index, guard_active| { + transition_q851_coefficient_cursor_at_body( + circ, + l_t, + work1.len(), + index, + &callback_cursor_scratch, + Q851CoefficientCursorTraversal::InverseForward, + ); + guard.accumulate( + circ, + lower_negative, + guard_active, + &work2[index], + &count_storage, + &callback_counter_scratch, + coefficient_active, + tmp, + ); + begin_coefficient_nonnegative_sign_bracket( + circ, + phase1, + lower_negative, + coefficient_active, + bracket, + ); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::SubForward, + coefficient_active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_sign_bracket( + circ, + phase1, + lower_negative, + coefficient_active, + bracket, + ); + }, + ); + guard.toggle_nonzero( + circ, + phase1, + &count_storage, + above_guard, + &cursor_scratch, + &nonzero_extra_dirty_lenders, + ); + + toggle_output_coefficient_enable_q845_inline_underflow( + circ, + phase1, + phase2, + sign, + &carry, + above_guard, + enable, + &output_scratch, + ); + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + circ.x(above_guard); + circ.ccx(&carry, above_guard, sign); + circ.x(above_guard); + circ.cx(phase1, sign); + guard.toggle_nonzero( + circ, + enable, + &count_storage, + above_guard, + &cursor_scratch, + &nonzero_extra_dirty_lenders, + ); + + let reverse_source: Vec<&QReg> = if relocate_count { + count_storage.iter().collect() + } else { + cursor_scratch + .iter() + .chain(std::iter::once(coefficient_active)) + .collect() + }; + guard.prepare_reverse_boundary( + circ, + &reverse_source, + l_s, + l_r_prime, + tmp, + above_guard, + ); + guard.for_each_reverse( + circ, + work1.len(), + above_guard, + &cursor_scratch, + &reverse_source, + tmp, + |circ, index, guard_active| { + transition_q851_coefficient_cursor_at_body( + circ, + l_t, + work1.len(), + index, + &callback_cursor_scratch, + Q851CoefficientCursorTraversal::InverseReverse, + ); + begin_coefficient_nonnegative_sign_bracket( + circ, + add_only, + lower_negative, + coefficient_active, + bracket, + ); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::SubReverse, + coefficient_active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_sign_bracket( + circ, + add_only, + lower_negative, + coefficient_active, + bracket, + ); + begin_coefficient_nonnegative_sign_bracket( + circ, + enable, + lower_negative, + coefficient_active, + bracket, + ); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::AddReverse, + coefficient_active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_sign_bracket( + circ, + enable, + lower_negative, + coefficient_active, + bracket, + ); + guard.unaccumulate( + circ, + lower_negative, + guard_active, + &work2[index], + &count_storage, + &callback_counter_scratch, + coefficient_active, + tmp, + ); + }, + ); + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, enable, chain); + } else { + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, enable, chain); + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + guard.for_each_forward( + circ, + work1.len(), + above_guard, + &cursor_scratch, + |circ, index, guard_active| { + guard.accumulate( + circ, + lower_negative, + guard_active, + &work2[index], + &count_storage, + &callback_counter_scratch, + coefficient_active, + tmp, + ); + begin_coefficient_nonnegative_sign_bracket( + circ, + enable, + lower_negative, + coefficient_active, + bracket, + ); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::SubForward, + coefficient_active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_sign_bracket( + circ, + enable, + lower_negative, + coefficient_active, + bracket, + ); + begin_coefficient_nonnegative_sign_bracket( + circ, + add_only, + lower_negative, + coefficient_active, + bracket, + ); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::AddForward, + coefficient_active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_sign_bracket( + circ, + add_only, + lower_negative, + coefficient_active, + bracket, + ); + transition_q851_coefficient_cursor_at_body( + circ, + l_t, + work1.len(), + index, + &callback_cursor_scratch, + Q851CoefficientCursorTraversal::ForwardForward, + ); + }, + ); + guard.toggle_nonzero( + circ, + enable, + &count_storage, + above_guard, + &cursor_scratch, + &nonzero_extra_dirty_lenders, + ); + + circ.cx(phase1, sign); + circ.x(above_guard); + circ.ccx(&carry, above_guard, sign); + circ.x(above_guard); + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + toggle_output_coefficient_enable_q845_inline_underflow( + circ, + phase1, + phase2, + sign, + &carry, + above_guard, + enable, + &output_scratch, + ); + guard.toggle_nonzero( + circ, + phase1, + &count_storage, + above_guard, + &cursor_scratch, + &nonzero_extra_dirty_lenders, + ); + + let reverse_source: Vec<&QReg> = if relocate_count { + count_storage.iter().collect() + } else { + cursor_scratch + .iter() + .chain(std::iter::once(coefficient_active)) + .collect() + }; + guard.prepare_reverse_boundary( + circ, + &reverse_source, + l_s, + l_r_prime, + tmp, + above_guard, + ); + guard.for_each_reverse( + circ, + work1.len(), + above_guard, + &cursor_scratch, + &reverse_source, + tmp, + |circ, index, guard_active| { + begin_coefficient_nonnegative_sign_bracket( + circ, + phase1, + lower_negative, + coefficient_active, + bracket, + ); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::AddReverse, + coefficient_active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_sign_bracket( + circ, + phase1, + lower_negative, + coefficient_active, + bracket, + ); + guard.unaccumulate( + circ, + lower_negative, + guard_active, + &work2[index], + &count_storage, + &callback_counter_scratch, + coefficient_active, + tmp, + ); + transition_q851_coefficient_cursor_at_body( + circ, + l_t, + work1.len(), + index, + &callback_cursor_scratch, + Q851CoefficientCursorTraversal::ForwardReverse, + ); + }, + ); + } + + record_q826_coefficient_host_restore(circ); + guard.finish( + circ, + &count_storage, + l_s, + l_r_prime, + coefficient_active, + tmp, + ); + if let Some(carry) = owned_carry { + circ.zero_and_free(carry); + } + free_clean(circ, cursor_scratch); +} + +#[allow(clippy::too_many_arguments)] +fn coefficient_fused_data_and_sign_q845( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + enable: &QReg, + above_guard: &QReg, + add_only: &QReg, + chain: &[QReg], + inverse: bool, +) { + assert_eq!(work1.len(), work2.len()); + assert!(!work1.is_empty()); + assert!(!l_t.is_empty()); + assert_eq!(chain.len(), 2); + assert_ne!(chain[0].id(), chain[1].id()); + let cursor_scratch = circ.alloc_qreg_bits( + "rs.q845-coeff-fused.cursor-scratch", + l_t.len().saturating_sub(1), + ); + let carry = circ.alloc_qreg("rs.q845-coeff-fused.carry"); + let active = &chain[0]; + let tmp = &chain[1]; + let output_scratch = [&chain[0], &chain[1], add_only]; + let bracket = production_coefficient_nonnegative_bracket(); + + if inverse { + for index in 0..work1.len() { + if index != 0 { + decrement_mod_2n(circ, l_t, &cursor_scratch); + } + begin_coefficient_nonnegative_bracket(circ, phase1, l_t, active, bracket); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::SubForward, + active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_bracket(circ, phase1, l_t, active, bracket); + } + + toggle_output_coefficient_enable_q845_inline_underflow( + circ, + phase1, + phase2, + sign, + &carry, + above_guard, + enable, + &output_scratch, + ); + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + circ.x(above_guard); + circ.ccx(&carry, above_guard, sign); + circ.x(above_guard); + circ.cx(phase1, sign); + + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + increment_mod_2n(circ, l_t, &cursor_scratch); + } + begin_coefficient_nonnegative_bracket(circ, add_only, l_t, active, bracket); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::SubReverse, + active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_bracket(circ, add_only, l_t, active, bracket); + begin_coefficient_nonnegative_bracket(circ, enable, l_t, active, bracket); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::AddReverse, + active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_bracket(circ, enable, l_t, active, bracket); + } + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, enable, chain); + } else { + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + for index in 0..work1.len() { + begin_coefficient_nonnegative_bracket(circ, enable, l_t, active, bracket); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::SubForward, + active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_bracket(circ, enable, l_t, active, bracket); + begin_coefficient_nonnegative_bracket(circ, add_only, l_t, active, bracket); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::AddForward, + active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_bracket(circ, add_only, l_t, active, bracket); + if index + 1 != work1.len() { + decrement_mod_2n(circ, l_t, &cursor_scratch); + } + } + + circ.cx(phase1, sign); + circ.x(above_guard); + circ.ccx(&carry, above_guard, sign); + circ.x(above_guard); + circ.x(enable); + circ.ccx(phase1, enable, add_only); + circ.x(enable); + toggle_output_coefficient_enable_q845_inline_underflow( + circ, + phase1, + phase2, + sign, + &carry, + above_guard, + enable, + &output_scratch, + ); + + for index in (0..work1.len()).rev() { + begin_coefficient_nonnegative_bracket(circ, phase1, l_t, active, bracket); + emit_q845_fused_coefficient_body( + circ, + Q845FusedCoefficientBody::AddReverse, + active, + &carry, + &work1[index], + &work2[index], + tmp, + ); + end_coefficient_nonnegative_bracket(circ, phase1, l_t, active, bracket); + if index != 0 { + increment_mod_2n(circ, l_t, &cursor_scratch); + } + } + } + + circ.zero_and_free(carry); + free_clean(circ, cursor_scratch); +} + +#[allow(clippy::too_many_arguments)] +fn coefficient_phase_block_fused_q845( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + full_work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + inverse: bool, + q828_entry_parity: Option, + uls_clean_lender: Option<&QReg>, + relocation_l_q: Option<&[QReg]>, +) { + let enable = circ.alloc_qreg("rs.q845-coeff-fused.enable"); + let above_guard = circ.alloc_qreg("rs.q845-coeff-fused.above-guard"); + let add_only = circ.alloc_qreg("rs.q845-coeff-fused.add-only"); + let chain = circ.alloc_qreg_bits("rs.q845-coeff-fused.chain", 2); + let guard_scratch = [&chain[0], &chain[1], &add_only]; + + if q845_swap_only_t_prime_length_requested() { + coefficient_fused_data_and_sign_q845_swap_only( + circ, + phase1, + phase2, + sign, + work1, + work2, + full_work2.len(), + l_t, + l_t_prime, + l_s, + l_r_prime, + &enable, + &above_guard, + &add_only, + &chain, + inverse, + q828_entry_parity, + uls_clean_lender, + relocation_l_q, + ); + free_clean(circ, chain); + circ.zero_and_free(add_only); + circ.zero_and_free(above_guard); + circ.zero_and_free(enable); + return; + } + + if inverse { + toggle_q845_coefficient_length_above_guarded_boundary( + circ, + phase1, + l_t_prime, + l_t, + l_s, + &above_guard, + &guard_scratch, + ); + controlled_xor_raw_t_prime_bit_length( + circ, + phase1, + l_s, + l_r_prime, + full_work2, + l_t_prime, + &chain, + ); + coefficient_fused_data_and_sign_q845( + circ, + phase1, + phase2, + sign, + work1, + work2, + l_t, + &enable, + &above_guard, + &add_only, + &chain, + true, + ); + controlled_xor_raw_t_prime_bit_length( + circ, + phase1, + l_s, + l_r_prime, + full_work2, + l_t_prime, + &chain, + ); + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, &enable, &chain); + toggle_q845_coefficient_length_above_guarded_boundary( + circ, + &enable, + l_t_prime, + l_t, + l_s, + &above_guard, + &guard_scratch, + ); + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, &enable, &chain); + } else { + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, &enable, &chain); + toggle_q845_coefficient_length_above_guarded_boundary( + circ, + &enable, + l_t_prime, + l_t, + l_s, + &above_guard, + &guard_scratch, + ); + controlled_xor_raw_t_prime_bit_length( + circ, + phase1, + l_s, + l_r_prime, + full_work2, + l_t_prime, + &chain, + ); + coefficient_fused_data_and_sign_q845( + circ, + phase1, + phase2, + sign, + work1, + work2, + l_t, + &enable, + &above_guard, + &add_only, + &chain, + false, + ); + controlled_xor_raw_t_prime_bit_length( + circ, + phase1, + l_s, + l_r_prime, + full_work2, + l_t_prime, + &chain, + ); + toggle_q845_coefficient_length_above_guarded_boundary( + circ, + phase1, + l_t_prime, + l_t, + l_s, + &above_guard, + &guard_scratch, + ); + } + + free_clean(circ, chain); + circ.zero_and_free(add_only); + circ.zero_and_free(above_guard); + circ.zero_and_free(enable); +} + +#[allow(clippy::too_many_arguments)] +fn coefficient_phase_block( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + full_work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + inverse: bool, +) { + coefficient_phase_block_with_uls_clean_lender( + circ, + phase1, + phase2, + sign, + work1, + work2, + full_work2, + l_t, + l_t_prime, + l_s, + l_r_prime, + inverse, + None, + None, + None, + ); +} + +#[allow(clippy::too_many_arguments)] +fn coefficient_phase_block_with_uls_clean_lender( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + full_work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + inverse: bool, + uls_clean_lender: Option<&QReg>, + relocation_l_q: Option<&[QReg]>, + q828_entry_parity: Option, +) { + assert!( + q845_swap_only_coefficient_dependencies_satisfied(), + "Q845 swap-only t-prime lifecycle requires Q845 coefficient fusion" + ); + if q845_lifetime_coefficient_fusion_requested() { + coefficient_phase_block_fused_q845( + circ, phase1, phase2, sign, work1, work2, full_work2, l_t, l_t_prime, l_s, l_r_prime, + inverse, q828_entry_parity, uls_clean_lender, relocation_l_q, + ); + return; + } + + assert!( + uls_clean_lender.is_none(), + "ULS clean lending requires the Q845 fused coefficient route" + ); + assert!( + relocation_l_q.is_none(), + "counter relocation requires the Q845 fused coefficient route" + ); + + let enable = circ.alloc_qreg("rs.coeff-block.enable"); + let less_than = circ.alloc_qreg("rs.coeff-block.less-than"); + let add_only = circ.alloc_qreg("rs.coeff-block.add-only"); + let borrowed_comparator = borrowed_coefficient_comparator_requested(); + let borrowed_less_than = coefficient_less_than_lane_reuse_requested(); + let chain = circ.alloc_qreg_bits("rs.coeff-block.chain", 2); + // The v-chain restores both lanes after every enable update. `add_only` is + // zero before the first comparison and is exactly uncomputed before the + // second comparison in either direction. Each boundary comparator restores + // these lanes before the less-than carry loop borrows them. + let compare_scratch = if borrowed_comparator || borrowed_less_than { + vec![&chain[0], &chain[1], &add_only] + } else { + Vec::new() + }; + let coefficient_add_lenders = [&chain[0], &chain[1]]; + // The raw-bitlength loan is deliberately narrower: add_only is live as + // its control, so only the two restored chain lanes are passed onward. + assert_eq!(l_t.len(), l_t_prime.len()); + + if inverse { + toggle_coefficient_less_than( + circ, + phase1, + work1, + work2, + l_t, + l_s, + l_t_prime, + &less_than, + &compare_scratch, + ); + toggle_output_coefficient_enable(circ, phase1, phase2, sign, &less_than, &enable, &chain); + + circ.x(&enable); + circ.ccx(phase1, &enable, &add_only); + circ.x(&enable); + with_bit_length_callsite( + "p.bitlen.rs.coeff-inverse.pre-add.deposit", + "p.bitlen.rs.coeff-inverse.pre-add.erase", + || { + controlled_xor_raw_t_prime_bit_length( + circ, &add_only, l_s, l_r_prime, full_work2, l_t_prime, &chain, + ); + }, + ); + coefficient_add_data_only( + circ, + &add_only, + work1, + work2, + l_t, + true, + &coefficient_add_lenders, + ); + with_bit_length_callsite( + "p.bitlen.rs.coeff-inverse.post-add.deposit", + "p.bitlen.rs.coeff-inverse.post-add.erase", + || { + controlled_xor_raw_t_prime_bit_length( + circ, &add_only, l_s, l_r_prime, full_work2, l_t_prime, &chain, + ); + }, + ); + circ.x(&enable); + circ.ccx(phase1, &enable, &add_only); + circ.x(&enable); + + circ.cx(&less_than, sign); + circ.cx(phase1, sign); + toggle_coefficient_less_than( + circ, + &enable, + work1, + work2, + l_t, + l_s, + l_t_prime, + &less_than, + &compare_scratch, + ); + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, &enable, &chain); + } else { + toggle_initial_coefficient_enable(circ, phase1, phase2, sign, &enable, &chain); + toggle_coefficient_less_than( + circ, + &enable, + work1, + work2, + l_t, + l_s, + l_t_prime, + &less_than, + &compare_scratch, + ); + circ.cx(phase1, sign); + circ.cx(&less_than, sign); + + circ.x(&enable); + circ.ccx(phase1, &enable, &add_only); + circ.x(&enable); + with_bit_length_callsite( + "p.bitlen.rs.coeff-forward.pre-add.deposit", + "p.bitlen.rs.coeff-forward.pre-add.erase", + || { + controlled_xor_raw_t_prime_bit_length( + circ, &add_only, l_s, l_r_prime, full_work2, l_t_prime, &chain, + ); + }, + ); + coefficient_add_data_only( + circ, + &add_only, + work1, + work2, + l_t, + false, + &coefficient_add_lenders, + ); + with_bit_length_callsite( + "p.bitlen.rs.coeff-forward.post-add.deposit", + "p.bitlen.rs.coeff-forward.post-add.erase", + || { + controlled_xor_raw_t_prime_bit_length( + circ, &add_only, l_s, l_r_prime, full_work2, l_t_prime, &chain, + ); + }, + ); + circ.x(&enable); + circ.ccx(phase1, &enable, &add_only); + circ.x(&enable); + + toggle_output_coefficient_enable(circ, phase1, phase2, sign, &less_than, &enable, &chain); + toggle_coefficient_less_than( + circ, + phase1, + work1, + work2, + l_t, + l_s, + l_t_prime, + &less_than, + &compare_scratch, + ); + } + + free_clean(circ, chain); + circ.zero_and_free(add_only); + circ.zero_and_free(less_than); + circ.zero_and_free(enable); +} + +#[allow(clippy::too_many_arguments)] +pub fn register_shared_full_window_step( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + iteration_parity: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + emit_length_swap: bool, +) { + assert_eq!(work1.len(), work2.len()); + assert_eq!(l_t.len(), l_t_prime.len()); + assert_eq!(l_t.len(), l_q.len()); + assert_eq!(l_t.len(), l_s.len()); + assert_l_r_prime_metadata_width(l_t.len(), l_r_prime.len()); + let work_width = work1.len(); + let length_width = l_t.len(); + + let pre_scratch = circ.alloc_qreg_bits("rs.step.pre-scratch", length_width + 4); + super::register_shared_eea_microkernels::pre_shift( + circ, + phase1, + phase2, + work2, + l_s, + &pre_scratch, + ); + free_clean(circ, pre_scratch); + + let remainder_scratch = circ.alloc_qreg_bits( + "rs.step.remainder-scratch", + remainder_scratch_width(length_width, l_r_prime.len()), + ); + remainder_sub_window( + circ, + work_width, + work_width, + phase1, + sign, + work1, + work2, + l_t, + l_q, + l_s, + l_r_prime, + &remainder_scratch, + ); + remainder_phase_sign_flip(circ, phase1, phase2, sign, l_r_prime, &remainder_scratch); + remainder_add_window( + circ, + work_width, + work_width, + phase1, + phase2, + sign, + work1, + work2, + l_t, + l_q, + l_s, + l_r_prime, + &remainder_scratch, + ); + free_clean(circ, remainder_scratch); + + let location_scratch = circ.alloc_qreg_bits("rs.step.location-scratch", length_width + 2); + location_controlled_swap_one_hot( + circ, + phase1, + phase2, + sign, + work1, + 0, + l_t, + l_q, + &location_scratch, + ); + free_clean(circ, location_scratch); + + coefficient_phase_block( + circ, phase1, phase2, sign, work1, work2, work2, l_t, l_t_prime, l_s, l_r_prime, false, + ); + + let post_scratch = circ.alloc_qreg_bits("rs.step.post-scratch", length_width + 4); + super::register_shared_eea_microkernels::post_shift( + circ, + phase1, + phase2, + work2, + l_s, + &post_scratch, + ); + free_clean(circ, post_scratch); + + let phase_scratch = circ.alloc_qreg_bits( + "rs.step.phase-scratch", + normalized_phase_scratch_width(length_width), + ); + normalized_phase_update( + circ, + phase1, + phase2, + sign, + l_q, + l_r_prime, + l_s, + &phase_scratch, + ); + free_clean(circ, phase_scratch); + + if emit_length_swap { + let condition_scratch = circ.alloc_qreg_bits("rs.step.swap-condition", length_width + 1); + let zero_q = &condition_scratch[0]; + let zero_s = &condition_scratch[1]; + let control = &condition_scratch[2]; + let chain = &condition_scratch[3..]; + compute_zero(circ, l_q, zero_q, chain); + compute_zero(circ, l_s, zero_s, chain); + conditional_work_and_length_swap_under_zero_predicate( + circ, + zero_q, + zero_s, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + (1, work_width), + (1, work_width), + if rotated_bitlen_scratch_reuse_requested() { + chain + } else { + &[] + }, + &[], + false, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(circ, l_s, zero_s, chain); + uncompute_zero(circ, l_q, zero_q, chain); + free_clean(circ, condition_scratch); + } +} + +#[allow(clippy::too_many_arguments)] +pub fn register_shared_scheduled_step( + circ: &mut Circuit, + step: usize, + phase1: &QReg, + phase2: &QReg, + iteration_parity: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], +) { + register_shared_scheduled_step_with_preserved_dy_top( + circ, + step, + phase1, + phase2, + iteration_parity, + sign, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + None, + ); +} + +enum ScheduledSwapConditionScratch { + Owned(Vec), + Hosted { + owned: Vec, + logical: Vec, + host_id: u32, + }, + ShortHosted { + owned: Vec, + logical: Vec, + host_id: u32, + }, +} + +impl ScheduledSwapConditionScratch { + fn lanes(&self) -> &[QReg] { + match self { + Self::Owned(owned) => owned, + Self::Hosted { logical, .. } | Self::ShortHosted { logical, .. } => logical, + } + } + + fn release(self, circ: &mut Circuit) { + match self { + Self::Owned(owned) => free_clean(circ, owned), + Self::Hosted { + owned, + logical, + host_id, + } => { + assert_eq!(logical.len(), REFERENCE_LENGTH_WIDTH + 1); + assert_eq!(logical.last().map(QReg::id), Some(host_id)); + assert_eq!(owned.len(), REFERENCE_LENGTH_WIDTH); + assert!(owned.iter().zip(&logical).all(|(owned, logical)| { + owned.id() == logical.id() && owned.id() != host_id + })); + drop(logical); + free_clean(circ, owned); + } + Self::ShortHosted { + owned, + logical, + host_id, + } => { + assert_eq!(logical.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(logical.last().map(QReg::id), Some(host_id)); + assert_eq!(owned.len(), REFERENCE_LENGTH_WIDTH - 1); + assert!(owned.iter().zip(&logical).all(|(owned, logical)| { + owned.id() == logical.id() && owned.id() != host_id + })); + drop(logical); + free_clean(circ, owned); + } + } + } +} + +fn allocate_scheduled_swap_condition_scratch_with_host( + circ: &mut Circuit, + name: &str, + host: Option<&QReg>, + l_t_prime_semantically_live: bool, + short_hosted: bool, +) -> ScheduledSwapConditionScratch { + let Some(host) = host else { + assert!(!short_hosted, "short swap condition scratch requires a host"); + return ScheduledSwapConditionScratch::Owned( + circ.alloc_qreg_bits(name, REFERENCE_LENGTH_WIDTH + 1), + ); + }; + assert!( + !l_t_prime_semantically_live, + "Q826 rotated swap host rejected: l_t_prime is semantically live" + ); + if short_hosted { + let owned = circ.alloc_qreg_bits(name, REFERENCE_LENGTH_WIDTH - 1); + assert!(owned.iter().all(|lane| lane.id() != host.id())); + let mut logical = owned.iter().map(QReg::borrowed_alias).collect::>(); + logical.push(host.borrowed_alias()); + assert_unique_qreg_ids( + "Q824 rotated swap short condition scratch", + &logical.iter().collect::>(), + ); + assert_eq!(logical.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(logical[8].id(), host.id()); + assert_eq!(logical[3..][5].id(), host.id()); + return ScheduledSwapConditionScratch::ShortHosted { + owned, + logical, + host_id: host.id(), + }; + } + let owned = circ.alloc_qreg_bits(name, REFERENCE_LENGTH_WIDTH); + assert!(owned.iter().all(|lane| lane.id() != host.id())); + let mut logical = owned.iter().map(QReg::borrowed_alias).collect::>(); + logical.push(host.borrowed_alias()); + assert_unique_qreg_ids( + "Q826 rotated swap condition scratch", + &logical.iter().collect::>(), + ); + assert_eq!(logical[9].id(), host.id()); + assert_eq!(logical[3..][6].id(), host.id()); + ScheduledSwapConditionScratch::Hosted { + owned, + logical, + host_id: host.id(), + } +} + +fn allocate_scheduled_swap_condition_scratch( + circ: &mut Circuit, + name: &str, + l_t_prime: &[QReg], + short_hosted: bool, +) -> ScheduledSwapConditionScratch { + let host = q826_rotated_swap_t_prime_host_requested().then(|| { + assert_eq!( + l_t_prime.len(), + 1, + "Q826 rotated swap host requires exactly one relocated t-prime lane" + ); + &l_t_prime[0] + }); + allocate_scheduled_swap_condition_scratch_with_host( + circ, + name, + host, + !q830_direct_swap_metadata_requested(), + short_hosted, + ) +} + +#[allow(clippy::too_many_arguments)] +fn register_shared_scheduled_step_with_preserved_dy_top( + circ: &mut Circuit, + step: usize, + phase1: &QReg, + phase2: &QReg, + iteration_parity: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + preserved_dy_top: Option<&QReg>, +) { + let q828_l_s = q828_ls_parity_requested(); + assert_eq!(work1.len(), 259); + assert_eq!(work2.len(), 259); + assert_eq!(l_t.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!( + l_t_prime.len(), + if q830_coefficient_counter_relocation_requested() { + 1 + } else { + REFERENCE_LENGTH_WIDTH + } + ); + assert_eq!(l_q.len(), production_l_q_width()); + assert_eq!( + l_s.len(), + if q828_l_s { + REFERENCE_LENGTH_WIDTH - 1 + } else { + REFERENCE_LENGTH_WIDTH + } + ); + assert_eq!(l_r_prime.len(), production_l_r_prime_width()); + let windows = reference_active_windows(256, step); + let q828_host = q828_l_s.then(|| { + let host = preserved_dy_top.expect("q828 l_s parity host"); + assert!(l_s.iter().all(|lane| lane.id() != host.id())); + assert!(l_q.iter().all(|lane| lane.id() != host.id())); + if (step - 1) % 2 != 0 { + circ.x(host); + } + host + }); + let q828_full_l_s = q828_host.map(|host| { + std::iter::once(host.borrowed_alias()) + .chain(l_s.iter().map(QReg::borrowed_alias)) + .collect::>() + }); + let l_s = q828_full_l_s.as_deref().unwrap_or(l_s); + assert_eq!(l_s.len(), REFERENCE_LENGTH_WIDTH); + + let pre_scratch = circ.alloc_qreg_bits("rs.scheduled.pre-scratch", REFERENCE_LENGTH_WIDTH + 1); + super::register_shared_eea_microkernels::pre_shift( + circ, + phase1, + phase2, + work2, + l_s, + &pre_scratch, + ); + free_clean(circ, pre_scratch); + + let r_start = windows.r_add_sub.0 - 1; + let r_end = windows.r_add_sub.1; + let remainder_scratch = allocate_scheduled_remainder_scratch( + circ, + "rs.scheduled.remainder-scratch", + REFERENCE_LENGTH_WIDTH, + l_r_prime.len(), + l_t_prime, + l_q, + ); + remainder_sub_window( + circ, + 259, + windows.r_add_sub.1, + phase1, + sign, + &work1[r_start..r_end], + &work2[r_start..r_end], + l_t, + l_q, + l_s, + l_r_prime, + remainder_scratch.lanes(), + ); + remainder_phase_sign_flip( + circ, + phase1, + phase2, + sign, + l_r_prime, + remainder_scratch.lanes(), + ); + remainder_add_window( + circ, + 259, + windows.r_add_sub.1, + phase1, + phase2, + sign, + &work1[r_start..r_end], + &work2[r_start..r_end], + l_t, + l_q, + l_s, + l_r_prime, + remainder_scratch.lanes(), + ); + remainder_scratch.release(circ); + + let swap_start = windows.quotient_swap.0 - 1; + let swap_end = windows.quotient_swap.1; + let location_scratch = + circ.alloc_qreg_bits("rs.scheduled.location-scratch", REFERENCE_LENGTH_WIDTH + 2); + location_controlled_swap_one_hot( + circ, + phase1, + phase2, + sign, + &work1[swap_start..swap_end], + swap_start, + l_t, + l_q, + &location_scratch, + ); + free_clean(circ, location_scratch); + + let t_end = windows.t_add_sub.1; + coefficient_phase_block_with_uls_clean_lender( + circ, + phase1, + phase2, + sign, + &work1[..t_end], + &work2[..t_end], + work2, + l_t, + l_t_prime, + l_s, + l_r_prime, + false, + preserved_dy_top.filter(|_| sub800_uls_clean_lender_requested()), + q830_coefficient_counter_relocation_requested().then_some(l_q), + q828_l_s.then_some((step - 1) % 2 != 0), + ); + + let post_scratch = + circ.alloc_qreg_bits("rs.scheduled.post-scratch", REFERENCE_LENGTH_WIDTH); + super::register_shared_eea_microkernels::post_shift( + circ, + phase1, + phase2, + work2, + l_s, + &post_scratch, + ); + free_clean(circ, post_scratch); + + let phase_scratch = circ.alloc_qreg_bits( + "rs.scheduled.phase-scratch", + normalized_phase_scratch_width(REFERENCE_LENGTH_WIDTH), + ); + normalized_phase_update( + circ, + phase1, + phase2, + sign, + l_q, + l_r_prime, + l_s, + &phase_scratch, + ); + free_clean(circ, phase_scratch); + + if step % 4 == 0 { + let short_rotated_lq_host = q824_rotated_swap_lq_high_host_requested(); + let condition_scratch = allocate_scheduled_swap_condition_scratch( + circ, + "rs.scheduled.swap-condition", + l_t_prime, + short_rotated_lq_host, + ); + let condition_scratch_lanes = condition_scratch.lanes(); + let zero_q = &condition_scratch_lanes[0]; + let zero_s = &condition_scratch_lanes[1]; + let control = &condition_scratch_lanes[2]; + let chain = &condition_scratch_lanes[3..]; + let l_s_zero_chain_storage; + let l_s_zero_chain = if short_rotated_lq_host { + assert!( + l_q.len() > 5, + "Q824 rotated swap host requires the clean l_q[5] support lane" + ); + l_s_zero_chain_storage = chain + .iter() + .map(QReg::borrowed_alias) + .chain(std::iter::once(l_q[5].borrowed_alias())) + .collect::>(); + l_s_zero_chain_storage.as_slice() + } else { + chain + }; + compute_zero(circ, l_q, zero_q, chain); + compute_zero(circ, l_s, zero_s, l_s_zero_chain); + let preserved_dy_top_scratch: Vec<&QReg> = preserved_dy_top + .filter(|_| preserved_dy_top_prefix_loan_requested()) + .into_iter() + .collect(); + conditional_work_and_length_swap_under_zero_predicate( + circ, + zero_q, + zero_s, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + windows.length_update_t, + windows.length_update_r, + if rotated_bitlen_scratch_reuse_requested() { + chain + } else { + &[] + }, + &preserved_dy_top_scratch, + false, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(circ, l_s, zero_s, l_s_zero_chain); + uncompute_zero(circ, l_q, zero_q, chain); + condition_scratch.release(circ); + } + if q828_l_s && step % 2 != 0 { + circ.x(q828_host.expect("q828 l_s parity host")); + } +} + +#[allow(clippy::too_many_arguments)] +pub fn register_shared_scheduled_step_inverse( + circ: &mut Circuit, + step: usize, + phase1: &QReg, + phase2: &QReg, + iteration_parity: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], +) { + register_shared_scheduled_step_inverse_with_preserved_dy_top( + circ, + step, + phase1, + phase2, + iteration_parity, + sign, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + None, + ); +} + +#[allow(clippy::too_many_arguments)] +fn register_shared_scheduled_step_inverse_with_preserved_dy_top( + circ: &mut Circuit, + step: usize, + phase1: &QReg, + phase2: &QReg, + iteration_parity: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + preserved_dy_top: Option<&QReg>, +) { + let q828_l_s = q828_ls_parity_requested(); + assert_eq!(work1.len(), 259); + assert_eq!(work2.len(), 259); + assert_eq!(l_t.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!( + l_t_prime.len(), + if q830_coefficient_counter_relocation_requested() { + 1 + } else { + REFERENCE_LENGTH_WIDTH + } + ); + assert_eq!(l_q.len(), production_l_q_width()); + assert_eq!( + l_s.len(), + if q828_l_s { + REFERENCE_LENGTH_WIDTH - 1 + } else { + REFERENCE_LENGTH_WIDTH + } + ); + assert_eq!(l_r_prime.len(), production_l_r_prime_width()); + let windows = reference_active_windows(256, step); + let q828_host = q828_l_s.then(|| { + let host = preserved_dy_top.expect("q828 inverse l_s parity host"); + assert!(l_s.iter().all(|lane| lane.id() != host.id())); + assert!(l_q.iter().all(|lane| lane.id() != host.id())); + if step % 2 != 0 { + circ.x(host); + } + host + }); + let q828_full_l_s = q828_host.map(|host| { + std::iter::once(host.borrowed_alias()) + .chain(l_s.iter().map(QReg::borrowed_alias)) + .collect::>() + }); + let l_s = q828_full_l_s.as_deref().unwrap_or(l_s); + assert_eq!(l_s.len(), REFERENCE_LENGTH_WIDTH); + + if step % 4 == 0 { + let short_rotated_lq_host = q824_rotated_swap_lq_high_host_requested(); + let condition_scratch = allocate_scheduled_swap_condition_scratch( + circ, + "rs.scheduled-inverse.swap-condition", + l_t_prime, + short_rotated_lq_host, + ); + let condition_scratch_lanes = condition_scratch.lanes(); + let zero_q = &condition_scratch_lanes[0]; + let zero_s = &condition_scratch_lanes[1]; + let control = &condition_scratch_lanes[2]; + let chain = &condition_scratch_lanes[3..]; + let l_s_zero_chain_storage; + let l_s_zero_chain = if short_rotated_lq_host { + assert!( + l_q.len() > 5, + "Q824 rotated swap host requires the clean l_q[5] support lane" + ); + l_s_zero_chain_storage = chain + .iter() + .map(QReg::borrowed_alias) + .chain(std::iter::once(l_q[5].borrowed_alias())) + .collect::>(); + l_s_zero_chain_storage.as_slice() + } else { + chain + }; + compute_zero(circ, l_q, zero_q, chain); + compute_zero(circ, l_s, zero_s, l_s_zero_chain); + let preserved_dy_top_scratch: Vec<&QReg> = preserved_dy_top + .filter(|_| preserved_dy_top_prefix_loan_requested()) + .into_iter() + .collect(); + conditional_work_and_length_swap_under_zero_predicate( + circ, + zero_q, + zero_s, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + windows.length_update_t, + windows.length_update_r, + if rotated_bitlen_scratch_reuse_requested() { + chain + } else { + &[] + }, + &preserved_dy_top_scratch, + true, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(circ, l_s, zero_s, l_s_zero_chain); + uncompute_zero(circ, l_q, zero_q, chain); + condition_scratch.release(circ); + } + + let phase_scratch = circ.alloc_qreg_bits( + "rs.scheduled-inverse.phase-scratch", + normalized_phase_scratch_width(REFERENCE_LENGTH_WIDTH), + ); + normalized_phase_update_inverse( + circ, + phase1, + phase2, + sign, + l_q, + l_r_prime, + l_s, + &phase_scratch, + ); + free_clean(circ, phase_scratch); + + let post_scratch = circ.alloc_qreg_bits( + "rs.scheduled-inverse.post-scratch", + REFERENCE_LENGTH_WIDTH, + ); + super::register_shared_eea_microkernels::post_shift_inverse( + circ, + phase1, + phase2, + work2, + l_s, + &post_scratch, + ); + free_clean(circ, post_scratch); + + let t_end = windows.t_add_sub.1; + coefficient_phase_block_with_uls_clean_lender( + circ, + phase1, + phase2, + sign, + &work1[..t_end], + &work2[..t_end], + work2, + l_t, + l_t_prime, + l_s, + l_r_prime, + true, + preserved_dy_top.filter(|_| sub800_uls_clean_lender_requested()), + q830_coefficient_counter_relocation_requested().then_some(l_q), + q828_l_s.then_some((step - 1) % 2 != 0), + ); + + let swap_start = windows.quotient_swap.0 - 1; + let swap_end = windows.quotient_swap.1; + let location_scratch = circ.alloc_qreg_bits( + "rs.scheduled-inverse.location-scratch", + REFERENCE_LENGTH_WIDTH + 2, + ); + location_controlled_swap_one_hot_inverse( + circ, + phase1, + phase2, + sign, + &work1[swap_start..swap_end], + swap_start, + l_t, + l_q, + &location_scratch, + ); + free_clean(circ, location_scratch); + + let r_start = windows.r_add_sub.0 - 1; + let r_end = windows.r_add_sub.1; + let remainder_scratch = allocate_scheduled_remainder_scratch( + circ, + "rs.scheduled-inverse.remainder-scratch", + REFERENCE_LENGTH_WIDTH, + l_r_prime.len(), + l_t_prime, + l_q, + ); + remainder_add_window_inverse( + circ, + 259, + windows.r_add_sub.1, + phase1, + phase2, + sign, + &work1[r_start..r_end], + &work2[r_start..r_end], + l_t, + l_q, + l_s, + l_r_prime, + remainder_scratch.lanes(), + ); + remainder_phase_sign_flip( + circ, + phase1, + phase2, + sign, + l_r_prime, + remainder_scratch.lanes(), + ); + remainder_sub_window_inverse( + circ, + 259, + windows.r_add_sub.1, + phase1, + sign, + &work1[r_start..r_end], + &work2[r_start..r_end], + l_t, + l_q, + l_s, + l_r_prime, + remainder_scratch.lanes(), + ); + remainder_scratch.release(circ); + + let pre_scratch = circ.alloc_qreg_bits( + "rs.scheduled-inverse.pre-scratch", + REFERENCE_LENGTH_WIDTH + 1, + ); + super::register_shared_eea_microkernels::pre_shift_inverse( + circ, + phase1, + phase2, + work2, + l_s, + &pre_scratch, + ); + free_clean(circ, pre_scratch); + if q828_l_s && (step - 1) % 2 != 0 { + circ.x(q828_host.expect("q828 inverse l_s parity host")); + } +} + +struct RegisterSharedCore { + phase1: QReg, + phase2: QReg, + iteration_parity: QReg, + sign: QReg, + work1: Vec, + work2: Vec, + l_t: Vec, + l_t_prime: Vec, + l_q: Vec, + l_s: Vec, + l_r_prime: Vec, +} + +struct RegisterSharedTerminal { + iteration_parity: QReg, + work2: Vec, + l_t_prime: Vec, + l_s: Vec, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q828CompositionDiagnosisReport { + pub inputs_started: usize, + pub completed_steps: usize, + pub first_input: Option, + pub first_step: Option, + pub first_stage: Option<&'static str>, + pub first_field: Option<&'static str>, + pub baseline_low_bit: Option, + pub expected_low_bit: Option, + pub baseline_host: Option, + pub candidate_host: Option, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q827CompleteCoverCompositionReport { + pub inputs_started: usize, + pub completed_steps: usize, + pub stage_boundaries_checked: usize, + pub first_input: Option, + pub first_step: Option, + pub first_stage: Option<&'static str>, + pub first_field: Option<&'static str>, + pub baseline_host: Option, + pub candidate_host: Option, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q826ThreeClassIntegrationProofReport { + pub remainder: Q826RemainderTPrimeHostProofReport, + pub nested_counter: Q826CoefficientNestedCounterProofReport, + pub coefficient: Q826CoefficientLsHostProofReport, + pub rotated: Q826RotatedSwapTPrimeHostProofReport, + pub inputs_checked: usize, + pub forward_steps_checked: usize, + pub inverse_steps_checked: usize, + pub internal_boundaries_checked: usize, + pub scratch_release_checks: usize, + pub no_overlap_checks: usize, + pub remainder_host_windows: usize, + pub coefficient_host_windows: usize, + pub rotated_host_windows: usize, + pub route_hash_checks: usize, +} + +const REGISTER_SHARED_WORK_WIDTH: usize = 259; +const REGISTER_SHARED_FIELD_WIDTH: usize = 257; +const REGISTER_SHARED_HALF_BYTES: [u8; 33] = [ + 0x18, 0xfe, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + 0x00, +]; + +fn toggle_initial_work1(circ: &mut Circuit, work1: &[QReg]) { + use crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE; + + assert_eq!(work1.len(), REGISTER_SHARED_WORK_WIDTH); + circ.x(&work1[0]); + for bit in 0..256 { + if ((SECP256K1_P_LE[bit / 8] >> (bit % 8)) & 1) != 0 { + circ.x(&work1[REGISTER_SHARED_WORK_WIDTH - 1 - bit]); + } + } +} + +fn toggle_terminal_work1(circ: &mut Circuit, work1: &[QReg]) { + use crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE; + + assert_eq!(work1.len(), REGISTER_SHARED_WORK_WIDTH); + for bit in 0..256 { + if ((SECP256K1_P_LE[bit / 8] >> (bit % 8)) & 1) != 0 { + circ.x(&work1[bit]); + } + } + circ.x(&work1[REGISTER_SHARED_WORK_WIDTH - 1]); +} + +fn register_shared_initialize(circ: &mut Circuit, mut dx: Vec) -> RegisterSharedCore { + use super::shrunken_pz_state_machine::{bit_length_lean, controlled_field_neg}; + use crate::point_add::trailmix_port::arith::compare::compare_geq_const; + + assert_eq!(dx.len(), REGISTER_SHARED_FIELD_WIDTH); + let iteration_parity = circ.alloc_qreg("rs.divider.iteration-parity"); + compare_geq_const(circ, &dx, ®ISTER_SHARED_HALF_BYTES, &iteration_parity); + controlled_field_neg(circ, &iteration_parity, &dx); + + let l_r_prime = circ.alloc_qreg_bits("rs.divider.l-r-prime", production_l_r_prime_width()); + let reflected_source_width = if mixed_width_l_r_prime_requested() { + 255 + } else { + 256 + }; + let source: Vec<&QReg> = dx.iter().take(reflected_source_width).collect(); + bit_length_lean(circ, &source, &l_r_prime, false); + + dx.push(circ.alloc_qreg("rs.divider.work2-pad0")); + dx.push(circ.alloc_qreg("rs.divider.work2-pad1")); + dx.reverse(); + let work2 = dx; + + let work1 = circ.alloc_qreg_bits("rs.divider.work1", REGISTER_SHARED_WORK_WIDTH); + toggle_initial_work1(circ, &work1); + let l_t = circ.alloc_qreg_bits("rs.divider.l-t", REFERENCE_LENGTH_WIDTH); + let l_t_prime_width = if q830_coefficient_counter_relocation_requested() { + assert!( + q830_direct_swap_metadata_requested(), + "counter relocation requires direct swap metadata" + ); + 1 + } else { + REFERENCE_LENGTH_WIDTH + }; + let l_t_prime = circ.alloc_qreg_bits("rs.divider.l-t-prime", l_t_prime_width); + let l_q = circ.alloc_qreg_bits("rs.divider.l-q", production_l_q_width()); + let l_s_width = if q828_ls_parity_requested() { + REFERENCE_LENGTH_WIDTH - 1 + } else { + REFERENCE_LENGTH_WIDTH + }; + let l_s = circ.alloc_qreg_bits("rs.divider.l-s", l_s_width); + circ.x(&l_t[0]); + let phase1 = circ.alloc_qreg("rs.divider.phase1"); + let phase2 = circ.alloc_qreg("rs.divider.phase2"); + let sign = circ.alloc_qreg("rs.divider.sign"); + + RegisterSharedCore { + phase1, + phase2, + iteration_parity, + sign, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + } +} + +fn register_shared_forward( + circ: &mut Circuit, + core: &RegisterSharedCore, + preserved_dy_top: Option<&QReg>, +) { + for step in 1..=REFERENCE_STEPS { + register_shared_scheduled_step_with_preserved_dy_top( + circ, + step, + &core.phase1, + &core.phase2, + &core.iteration_parity, + &core.sign, + &core.work1, + &core.work2, + &core.l_t, + &core.l_t_prime, + &core.l_q, + &core.l_s, + &core.l_r_prime, + preserved_dy_top, + ); + } +} + +fn register_shared_release_terminal( + circ: &mut Circuit, + core: RegisterSharedCore, +) -> RegisterSharedTerminal { + toggle_terminal_work1(circ, &core.work1); + free_clean(circ, core.work1); + toggle_constant(circ, &core.l_t, 256); + free_clean(circ, core.l_t); + free_clean(circ, core.l_q); + free_clean(circ, core.l_r_prime); + circ.zero_and_free(core.phase1); + circ.zero_and_free(core.phase2); + circ.zero_and_free(core.sign); + RegisterSharedTerminal { + iteration_parity: core.iteration_parity, + work2: core.work2, + l_t_prime: core.l_t_prime, + l_s: core.l_s, + } +} + +fn register_shared_rebuild_terminal( + circ: &mut Circuit, + terminal: RegisterSharedTerminal, +) -> RegisterSharedCore { + let work1 = circ.alloc_qreg_bits("rs.divider.work1.rebuilt", REGISTER_SHARED_WORK_WIDTH); + toggle_terminal_work1(circ, &work1); + let l_t = circ.alloc_qreg_bits("rs.divider.l-t.rebuilt", REFERENCE_LENGTH_WIDTH); + let l_q = circ.alloc_qreg_bits("rs.divider.l-q.rebuilt", production_l_q_width()); + let l_r_prime = + circ.alloc_qreg_bits("rs.divider.l-r-prime.rebuilt", production_l_r_prime_width()); + toggle_constant(circ, &l_t, 256); + RegisterSharedCore { + phase1: circ.alloc_qreg("rs.divider.phase1.rebuilt"), + phase2: circ.alloc_qreg("rs.divider.phase2.rebuilt"), + iteration_parity: terminal.iteration_parity, + sign: circ.alloc_qreg("rs.divider.sign.rebuilt"), + work1, + work2: terminal.work2, + l_t, + l_t_prime: terminal.l_t_prime, + l_q, + l_s: terminal.l_s, + l_r_prime, + } +} + +fn register_shared_reverse( + circ: &mut Circuit, + core: &RegisterSharedCore, + preserved_dy_top: Option<&QReg>, +) { + for step in (1..=REFERENCE_STEPS).rev() { + register_shared_scheduled_step_inverse_with_preserved_dy_top( + circ, + step, + &core.phase1, + &core.phase2, + &core.iteration_parity, + &core.sign, + &core.work1, + &core.work2, + &core.l_t, + &core.l_t_prime, + &core.l_q, + &core.l_s, + &core.l_r_prime, + preserved_dy_top, + ); + } +} + +fn register_shared_finish(circ: &mut Circuit, mut core: RegisterSharedCore) -> Vec { + use super::shrunken_pz_state_machine::{bit_length_lean, controlled_field_neg}; + use crate::point_add::trailmix_port::arith::compare::compare_geq_const; + + circ.zero_and_free(core.phase1); + circ.zero_and_free(core.phase2); + circ.zero_and_free(core.sign); + circ.x(&core.l_t[0]); + free_clean(circ, core.l_t); + free_clean(circ, core.l_t_prime); + free_clean(circ, core.l_q); + free_clean(circ, core.l_s); + toggle_initial_work1(circ, &core.work1); + free_clean(circ, core.work1); + + core.work2.reverse(); + let pad1 = core.work2.pop().expect("register-shared Work2 pad1"); + let pad0 = core.work2.pop().expect("register-shared Work2 pad0"); + circ.zero_and_free(pad1); + circ.zero_and_free(pad0); + assert_eq!(core.work2.len(), REGISTER_SHARED_FIELD_WIDTH); + + let reflected_source_width = if mixed_width_l_r_prime_requested() { + 255 + } else { + 256 + }; + let source: Vec<&QReg> = core.work2.iter().take(reflected_source_width).collect(); + bit_length_lean(circ, &source, &core.l_r_prime, true); + free_clean(circ, core.l_r_prime); + controlled_field_neg(circ, &core.iteration_parity, &core.work2); + compare_geq_const( + circ, + &core.work2, + ®ISTER_SHARED_HALF_BYTES, + &core.iteration_parity, + ); + circ.zero_and_free(core.iteration_parity); + core.work2 +} + +fn q828_diagnosis_apply_pending(circ: &mut Circuit, state: &mut Vec) { + state.resize(circ.b.next_qubit as usize, false); + let ops = std::mem::take(&mut circ.b.ops); + let input = std::mem::take(state); + *state = apply_basis_vector(&ops, input); +} + +fn q828_diagnosis_register_equal( + baseline_state: &[bool], + baseline: &[QReg], + candidate_state: &[bool], + candidate: &[QReg], +) -> bool { + baseline.len() == candidate.len() + && baseline.iter().zip(candidate).all(|(left, right)| { + baseline_state[left.id() as usize] == candidate_state[right.id() as usize] + }) +} + +fn q828_diagnosis_single_equal( + baseline_state: &[bool], + baseline: &QReg, + candidate_state: &[bool], + candidate: &QReg, +) -> bool { + baseline_state[baseline.id() as usize] == candidate_state[candidate.id() as usize] +} + +fn q828_diagnosis_build( + input: alloy_primitives::U256, + candidate: bool, +) -> (Circuit, RegisterSharedCore, QReg, Vec) { + std::env::set_var(Q828_LS_PARITY_FLAG, if candidate { "1" } else { "0" }); + let mut circ = Circuit::new(); + let dx = circ.alloc_qreg_bits("q828.diagnosis.dx", REGISTER_SHARED_FIELD_WIDTH); + let dx_ids = dx.iter().map(QReg::id).collect::>(); + let host = circ.alloc_qreg("q828.diagnosis.preserved-dy-top"); + let core = register_shared_initialize(&mut circ, dx); + let mut state = vec![false; circ.b.next_qubit as usize]; + for (bit, id) in dx_ids.into_iter().enumerate().take(256) { + state[id as usize] = input.bit(bit); + } + q828_diagnosis_apply_pending(&mut circ, &mut state); + (circ, core, host, state) +} + +fn q828_diagnosis_mismatch( + step: usize, + baseline_core: &RegisterSharedCore, + baseline_host: &QReg, + baseline_state: &[bool], + candidate_core: &RegisterSharedCore, + candidate_host: &QReg, + candidate_state: &[bool], +) -> Option<(&'static str, bool, bool, bool, bool)> { + let baseline_low = baseline_state[baseline_core.l_s[0].id() as usize]; + let expected_low = step % 2 != 0; + let baseline_host_value = baseline_state[baseline_host.id() as usize]; + let candidate_host_value = candidate_state[candidate_host.id() as usize]; + let mismatch = if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.phase1, + candidate_state, + &candidate_core.phase1, + ) { + Some("phase1") + } else if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.phase2, + candidate_state, + &candidate_core.phase2, + ) { + Some("phase2") + } else if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.iteration_parity, + candidate_state, + &candidate_core.iteration_parity, + ) { + Some("iteration_parity") + } else if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.sign, + candidate_state, + &candidate_core.sign, + ) { + Some("sign") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.work1, + candidate_state, + &candidate_core.work1, + ) { + Some("work1") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.work2, + candidate_state, + &candidate_core.work2, + ) { + Some("work2") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_t, + candidate_state, + &candidate_core.l_t, + ) { + Some("l_t") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_t_prime, + candidate_state, + &candidate_core.l_t_prime, + ) { + Some("l_t_prime") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_q, + candidate_state, + &candidate_core.l_q, + ) { + Some("l_q") + } else if baseline_core.l_s.len() != REFERENCE_LENGTH_WIDTH + || candidate_core.l_s.len() != REFERENCE_LENGTH_WIDTH - 1 + || !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_s[1..], + candidate_state, + &candidate_core.l_s, + ) + { + Some("l_s_high") + } else if baseline_low != expected_low { + Some("l_s_low") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_r_prime, + candidate_state, + &candidate_core.l_r_prime, + ) { + Some("l_r_prime") + } else if baseline_host_value { + Some("baseline_host") + } else if candidate_host_value { + Some("candidate_host") + } else { + None + }; + mismatch.map(|field| { + ( + field, + baseline_low, + expected_low, + baseline_host_value, + candidate_host_value, + ) + }) +} + +fn q828_diagnosis_live_mismatch( + baseline_core: &RegisterSharedCore, + baseline_state: &[bool], + candidate_core: &RegisterSharedCore, + candidate_host: &QReg, + candidate_state: &[bool], +) -> Option<&'static str> { + if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.phase1, + candidate_state, + &candidate_core.phase1, + ) { + Some("phase1") + } else if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.phase2, + candidate_state, + &candidate_core.phase2, + ) { + Some("phase2") + } else if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.iteration_parity, + candidate_state, + &candidate_core.iteration_parity, + ) { + Some("iteration_parity") + } else if !q828_diagnosis_single_equal( + baseline_state, + &baseline_core.sign, + candidate_state, + &candidate_core.sign, + ) { + Some("sign") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.work1, + candidate_state, + &candidate_core.work1, + ) { + Some("work1") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.work2, + candidate_state, + &candidate_core.work2, + ) { + Some("work2") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_t, + candidate_state, + &candidate_core.l_t, + ) { + Some("l_t") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_t_prime, + candidate_state, + &candidate_core.l_t_prime, + ) { + Some("l_t_prime") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_q, + candidate_state, + &candidate_core.l_q, + ) { + Some("l_q") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_s[1..], + candidate_state, + &candidate_core.l_s, + ) { + Some("l_s_high") + } else if baseline_state[baseline_core.l_s[0].id() as usize] + != candidate_state[candidate_host.id() as usize] + { + Some("hosted_l_s_low") + } else if !q828_diagnosis_register_equal( + baseline_state, + &baseline_core.l_r_prime, + candidate_state, + &candidate_core.l_r_prime, + ) { + Some("l_r_prime") + } else { + None + } +} + +#[allow(clippy::too_many_arguments)] +fn q828_diagnosis_run_stage( + circ: &mut Circuit, + step: usize, + core: &RegisterSharedCore, + preserved_dy_top: &QReg, + candidate: bool, + stage: usize, +) { + std::env::set_var(Q828_LS_PARITY_FLAG, if candidate { "1" } else { "0" }); + let full_l_s = candidate.then(|| { + std::iter::once(preserved_dy_top.borrowed_alias()) + .chain(core.l_s.iter().map(QReg::borrowed_alias)) + .collect::>() + }); + let l_s = full_l_s.as_deref().unwrap_or(&core.l_s); + let windows = reference_active_windows(256, step); + + match stage { + 0 => { + if candidate && (step - 1) % 2 != 0 { + circ.x(preserved_dy_top); + } + } + 1 => { + let scratch = + circ.alloc_qreg_bits("q828.diagnosis.pre", REFERENCE_LENGTH_WIDTH + 4); + super::register_shared_eea_microkernels::pre_shift( + circ, + &core.phase1, + &core.phase2, + &core.work2, + l_s, + &scratch, + ); + free_clean(circ, scratch); + } + 2 => { + let start = windows.r_add_sub.0 - 1; + let end = windows.r_add_sub.1; + let scratch = allocate_scheduled_remainder_scratch( + circ, + "q828.diagnosis.remainder", + REFERENCE_LENGTH_WIDTH, + core.l_r_prime.len(), + &core.l_t_prime, + &core.l_q, + ); + remainder_sub_window( + circ, + 259, + windows.r_add_sub.1, + &core.phase1, + &core.sign, + &core.work1[start..end], + &core.work2[start..end], + &core.l_t, + &core.l_q, + l_s, + &core.l_r_prime, + scratch.lanes(), + ); + remainder_phase_sign_flip( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.l_r_prime, + scratch.lanes(), + ); + remainder_add_window( + circ, + 259, + windows.r_add_sub.1, + &core.phase1, + &core.phase2, + &core.sign, + &core.work1[start..end], + &core.work2[start..end], + &core.l_t, + &core.l_q, + l_s, + &core.l_r_prime, + scratch.lanes(), + ); + scratch.release(circ); + } + 3 => { + let start = windows.quotient_swap.0 - 1; + let end = windows.quotient_swap.1; + let scratch = + circ.alloc_qreg_bits("q828.diagnosis.location", REFERENCE_LENGTH_WIDTH + 2); + location_controlled_swap_one_hot( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.work1[start..end], + start, + &core.l_t, + &core.l_q, + &scratch, + ); + free_clean(circ, scratch); + } + 4 => { + let end = windows.t_add_sub.1; + coefficient_phase_block_with_uls_clean_lender( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.work1[..end], + &core.work2[..end], + &core.work2, + &core.l_t, + &core.l_t_prime, + l_s, + &core.l_r_prime, + false, + sub800_uls_clean_lender_requested().then_some(preserved_dy_top), + q830_coefficient_counter_relocation_requested().then_some(&core.l_q[..]), + candidate.then_some((step - 1) % 2 != 0), + ); + } + 5 => { + let scratch = + circ.alloc_qreg_bits("q828.diagnosis.post", REFERENCE_LENGTH_WIDTH + 4); + super::register_shared_eea_microkernels::post_shift( + circ, + &core.phase1, + &core.phase2, + &core.work2, + l_s, + &scratch, + ); + free_clean(circ, scratch); + } + 6 => { + let scratch = circ.alloc_qreg_bits( + "q828.diagnosis.phase", + normalized_phase_scratch_width(REFERENCE_LENGTH_WIDTH), + ); + normalized_phase_update( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.l_q, + &core.l_r_prime, + l_s, + &scratch, + ); + free_clean(circ, scratch); + } + 7 => { + if step % 4 == 0 { + let scratch = allocate_scheduled_swap_condition_scratch( + circ, + "q828.diagnosis.swap-condition", + &core.l_t_prime, + false, + ); + let lanes = scratch.lanes(); + let zero_q = &lanes[0]; + let zero_s = &lanes[1]; + let control = &lanes[2]; + let chain = &lanes[3..]; + compute_zero(circ, &core.l_q, zero_q, chain); + compute_zero(circ, l_s, zero_s, chain); + let preserved = preserved_dy_top_prefix_loan_requested() + .then_some(preserved_dy_top) + .into_iter() + .collect::>(); + conditional_work_and_length_swap_under_zero_predicate( + circ, + zero_q, + zero_s, + control, + &core.iteration_parity, + &core.work1, + &core.work2, + &core.l_t, + &core.l_t_prime, + &core.l_q, + l_s, + &core.l_r_prime, + windows.length_update_t, + windows.length_update_r, + if rotated_bitlen_scratch_reuse_requested() { + chain + } else { + &[] + }, + &preserved, + false, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(circ, l_s, zero_s, chain); + uncompute_zero(circ, &core.l_q, zero_q, chain); + scratch.release(circ); + } + } + 8 => { + if candidate && step % 2 != 0 { + circ.x(preserved_dy_top); + } + } + _ => unreachable!("q828 diagnosis stage"), + } +} + +#[allow(clippy::too_many_arguments)] +fn q826_three_class_run_inverse_stage( + circ: &mut Circuit, + step: usize, + core: &RegisterSharedCore, + preserved_dy_top: &QReg, + stage: usize, +) { + let full_l_s = std::iter::once(preserved_dy_top.borrowed_alias()) + .chain(core.l_s.iter().map(QReg::borrowed_alias)) + .collect::>(); + let l_s = full_l_s.as_slice(); + let windows = reference_active_windows(256, step); + + match stage { + 0 => { + if step % 2 != 0 { + circ.x(preserved_dy_top); + } + } + 1 => { + if step % 4 == 0 { + let scratch = allocate_scheduled_swap_condition_scratch( + circ, + "q826.three-class.inverse.swap-condition", + &core.l_t_prime, + false, + ); + let lanes = scratch.lanes(); + let zero_q = &lanes[0]; + let zero_s = &lanes[1]; + let control = &lanes[2]; + let chain = &lanes[3..]; + compute_zero(circ, &core.l_q, zero_q, chain); + compute_zero(circ, l_s, zero_s, chain); + let preserved = preserved_dy_top_prefix_loan_requested() + .then_some(preserved_dy_top) + .into_iter() + .collect::>(); + conditional_work_and_length_swap_under_zero_predicate( + circ, + zero_q, + zero_s, + control, + &core.iteration_parity, + &core.work1, + &core.work2, + &core.l_t, + &core.l_t_prime, + &core.l_q, + l_s, + &core.l_r_prime, + windows.length_update_t, + windows.length_update_r, + if rotated_bitlen_scratch_reuse_requested() { + chain + } else { + &[] + }, + &preserved, + true, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(circ, l_s, zero_s, chain); + uncompute_zero(circ, &core.l_q, zero_q, chain); + scratch.release(circ); + } + } + 2 => { + let scratch = circ.alloc_qreg_bits( + "q826.three-class.inverse.phase", + normalized_phase_scratch_width(REFERENCE_LENGTH_WIDTH), + ); + normalized_phase_update_inverse( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.l_q, + &core.l_r_prime, + l_s, + &scratch, + ); + free_clean(circ, scratch); + } + 3 => { + let scratch = + circ.alloc_qreg_bits("q826.three-class.inverse.post", REFERENCE_LENGTH_WIDTH + 4); + super::register_shared_eea_microkernels::post_shift_inverse( + circ, + &core.phase1, + &core.phase2, + &core.work2, + l_s, + &scratch, + ); + free_clean(circ, scratch); + } + 4 => { + let end = windows.t_add_sub.1; + coefficient_phase_block_with_uls_clean_lender( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.work1[..end], + &core.work2[..end], + &core.work2, + &core.l_t, + &core.l_t_prime, + l_s, + &core.l_r_prime, + true, + sub800_uls_clean_lender_requested().then_some(preserved_dy_top), + q830_coefficient_counter_relocation_requested().then_some(&core.l_q[..]), + Some((step - 1) % 2 != 0), + ); + } + 5 => { + let start = windows.quotient_swap.0 - 1; + let end = windows.quotient_swap.1; + let scratch = circ.alloc_qreg_bits( + "q826.three-class.inverse.location", + REFERENCE_LENGTH_WIDTH + 2, + ); + location_controlled_swap_one_hot_inverse( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.work1[start..end], + start, + &core.l_t, + &core.l_q, + &scratch, + ); + free_clean(circ, scratch); + } + 6 => { + let start = windows.r_add_sub.0 - 1; + let end = windows.r_add_sub.1; + let scratch = allocate_scheduled_remainder_scratch( + circ, + "q826.three-class.inverse.remainder", + REFERENCE_LENGTH_WIDTH, + core.l_r_prime.len(), + &core.l_t_prime, + &core.l_q, + ); + remainder_add_window_inverse( + circ, + 259, + windows.r_add_sub.1, + &core.phase1, + &core.phase2, + &core.sign, + &core.work1[start..end], + &core.work2[start..end], + &core.l_t, + &core.l_q, + l_s, + &core.l_r_prime, + scratch.lanes(), + ); + remainder_phase_sign_flip( + circ, + &core.phase1, + &core.phase2, + &core.sign, + &core.l_r_prime, + scratch.lanes(), + ); + remainder_sub_window_inverse( + circ, + 259, + windows.r_add_sub.1, + &core.phase1, + &core.sign, + &core.work1[start..end], + &core.work2[start..end], + &core.l_t, + &core.l_q, + l_s, + &core.l_r_prime, + scratch.lanes(), + ); + scratch.release(circ); + } + 7 => { + let scratch = + circ.alloc_qreg_bits("q826.three-class.inverse.pre", REFERENCE_LENGTH_WIDTH + 4); + super::register_shared_eea_microkernels::pre_shift_inverse( + circ, + &core.phase1, + &core.phase2, + &core.work2, + l_s, + &scratch, + ); + free_clean(circ, scratch); + } + 8 => { + if (step - 1) % 2 != 0 { + circ.x(preserved_dy_top); + } + } + _ => unreachable!("Q826 inverse diagnosis stage"), + } +} + +/// Stream the production scheduled-step gates for Q829 and Q828 from identical +/// field inputs and compare every persistent boundary lane after each step. +/// This is a diagnosis miter, not a challenge-validity proof. +#[must_use] +pub fn diagnose_q828_l_s_parity_composition() -> Q828CompositionDiagnosisReport { + super::super::configure_sub1000_trailmix_route(); + assert_ne!(std::env::var("POINT_ADD_COUNT_ONLY").ok().as_deref(), Some("1")); + let inputs = [1u64, 2, 3, 5, 7, 11, 13, 29]; + let mut report = Q828CompositionDiagnosisReport { + inputs_started: 0, + completed_steps: 0, + first_input: None, + first_step: None, + first_stage: None, + first_field: None, + baseline_low_bit: None, + expected_low_bit: None, + baseline_host: None, + candidate_host: None, + }; + + for input in inputs { + report.inputs_started += 1; + let input_u256 = alloy_primitives::U256::from(input); + let (mut baseline_circ, baseline_core, baseline_host, mut baseline_state) = + q828_diagnosis_build(input_u256, false); + let (mut candidate_circ, candidate_core, candidate_host, mut candidate_state) = + q828_diagnosis_build(input_u256, true); + + if let Some((field, low, expected, baseline_host_value, candidate_host_value)) = + q828_diagnosis_mismatch( + 0, + &baseline_core, + &baseline_host, + &baseline_state, + &candidate_core, + &candidate_host, + &candidate_state, + ) + { + report.first_input = Some(input); + report.first_step = Some(0); + report.first_stage = Some("initialized"); + report.first_field = Some(field); + report.baseline_low_bit = Some(low); + report.expected_low_bit = Some(expected); + report.baseline_host = Some(baseline_host_value); + report.candidate_host = Some(candidate_host_value); + return report; + } + + const STAGES: [&str; 9] = [ + "entry_reconstruction", + "pre_shift", + "remainder_update", + "location_swap", + "coefficient_block", + "post_shift", + "normalized_phase_update", + "conditional_swap", + "host_cleanup", + ]; + for step in 1..=REFERENCE_STEPS { + for (stage, stage_name) in STAGES.iter().enumerate() { + q828_diagnosis_run_stage( + &mut baseline_circ, + step, + &baseline_core, + &baseline_host, + false, + stage, + ); + q828_diagnosis_apply_pending(&mut baseline_circ, &mut baseline_state); + q828_diagnosis_run_stage( + &mut candidate_circ, + step, + &candidate_core, + &candidate_host, + true, + stage, + ); + q828_diagnosis_apply_pending(&mut candidate_circ, &mut candidate_state); + + let field = if stage == STAGES.len() - 1 { + q828_diagnosis_mismatch( + step, + &baseline_core, + &baseline_host, + &baseline_state, + &candidate_core, + &candidate_host, + &candidate_state, + ) + .map(|mismatch| mismatch.0) + } else { + q828_diagnosis_live_mismatch( + &baseline_core, + &baseline_state, + &candidate_core, + &candidate_host, + &candidate_state, + ) + }; + if let Some(field) = field { + report.first_input = Some(input); + report.first_step = Some(step); + report.first_stage = Some(stage_name); + report.first_field = Some(field); + report.baseline_low_bit = + Some(baseline_state[baseline_core.l_s[0].id() as usize]); + report.expected_low_bit = Some(step % 2 != 0); + report.baseline_host = Some(baseline_state[baseline_host.id() as usize]); + report.candidate_host = Some(candidate_state[candidate_host.id() as usize]); + return report; + } + } + report.completed_steps += 1; + } + } + report +} + +fn set_q827_complete_cover_diagnosis_route(candidate: bool) { + std::env::set_var(Q828_LS_PARITY_FLAG, "1"); + std::env::set_var( + Q827_SERIAL_SPLIT_FIVE_FLAG, + if candidate { "1" } else { "0" }, + ); + std::env::set_var( + SUB800_ULS_DIRECT_SELECTOR_FLAG, + if candidate { "1" } else { "0" }, + ); +} + +fn q827_complete_cover_mismatch( + baseline_core: &RegisterSharedCore, + baseline_host: &QReg, + baseline_state: &[bool], + candidate_core: &RegisterSharedCore, + candidate_host: &QReg, + candidate_state: &[bool], + require_clean_host: bool, +) -> Option<&'static str> { + let single = |baseline: &QReg, candidate: &QReg| { + q828_diagnosis_single_equal( + baseline_state, + baseline, + candidate_state, + candidate, + ) + }; + let register = |baseline: &[QReg], candidate: &[QReg]| { + q828_diagnosis_register_equal( + baseline_state, + baseline, + candidate_state, + candidate, + ) + }; + + if !single(&baseline_core.phase1, &candidate_core.phase1) { + Some("phase1") + } else if !single(&baseline_core.phase2, &candidate_core.phase2) { + Some("phase2") + } else if !single( + &baseline_core.iteration_parity, + &candidate_core.iteration_parity, + ) { + Some("iteration_parity") + } else if !single(&baseline_core.sign, &candidate_core.sign) { + Some("sign") + } else if !register(&baseline_core.work1, &candidate_core.work1) { + Some("work1") + } else if !register(&baseline_core.work2, &candidate_core.work2) { + Some("work2") + } else if !register(&baseline_core.l_t, &candidate_core.l_t) { + Some("l_t") + } else if !register(&baseline_core.l_t_prime, &candidate_core.l_t_prime) { + Some("l_t_prime") + } else if !register(&baseline_core.l_q, &candidate_core.l_q) { + Some("l_q") + } else if !register(&baseline_core.l_s, &candidate_core.l_s) { + Some("l_s_high") + } else if !register(&baseline_core.l_r_prime, &candidate_core.l_r_prime) { + Some("l_r_prime") + } else if !single(baseline_host, candidate_host) { + Some("hosted_l_s_low") + } else if require_clean_host && baseline_state[baseline_host.id() as usize] { + Some("baseline_host_dirty") + } else if require_clean_host && candidate_state[candidate_host.id() as usize] { + Some("candidate_host_dirty") + } else { + None + } +} + +/// Compare the complete Q827 three-family cover against the repaired Q828 +/// hosted-parity route after every scheduled-step stage. The independently +/// proved remainder no-overflow kernel is common to both sides; this miter +/// isolates its composition with the direct selector and serial split-five +/// cuts. It is a deterministic classical composition proof, not a trusted +/// challenge-evaluator result. +#[must_use] +pub fn diagnose_q827_complete_cover_composition() -> Q827CompleteCoverCompositionReport { + super::super::configure_sub1000_trailmix_route(); + assert_ne!(std::env::var("POINT_ADD_COUNT_ONLY").ok().as_deref(), Some("1")); + const INPUTS: [u64; 8] = [1, 2, 3, 5, 7, 11, 13, 29]; + const STAGES: [&str; 9] = [ + "entry_reconstruction", + "pre_shift", + "remainder_update", + "location_swap", + "coefficient_block", + "post_shift", + "normalized_phase_update", + "conditional_swap", + "host_cleanup", + ]; + + let mut report = Q827CompleteCoverCompositionReport { + inputs_started: 0, + completed_steps: 0, + stage_boundaries_checked: 0, + first_input: None, + first_step: None, + first_stage: None, + first_field: None, + baseline_host: None, + candidate_host: None, + }; + + for input in INPUTS { + report.inputs_started += 1; + let input_u256 = alloy_primitives::U256::from(input); + set_q827_complete_cover_diagnosis_route(false); + let (mut baseline_circ, baseline_core, baseline_host, mut baseline_state) = + q828_diagnosis_build(input_u256, true); + set_q827_complete_cover_diagnosis_route(true); + let (mut candidate_circ, candidate_core, candidate_host, mut candidate_state) = + q828_diagnosis_build(input_u256, true); + + if let Some(field) = q827_complete_cover_mismatch( + &baseline_core, + &baseline_host, + &baseline_state, + &candidate_core, + &candidate_host, + &candidate_state, + true, + ) { + report.first_input = Some(input); + report.first_step = Some(0); + report.first_stage = Some("initialized"); + report.first_field = Some(field); + report.baseline_host = Some(baseline_state[baseline_host.id() as usize]); + report.candidate_host = Some(candidate_state[candidate_host.id() as usize]); + set_q827_complete_cover_diagnosis_route(true); + return report; + } + + for step in 1..=REFERENCE_STEPS { + for (stage, stage_name) in STAGES.iter().enumerate() { + set_q827_complete_cover_diagnosis_route(false); + q828_diagnosis_run_stage( + &mut baseline_circ, + step, + &baseline_core, + &baseline_host, + true, + stage, + ); + q828_diagnosis_apply_pending(&mut baseline_circ, &mut baseline_state); + + set_q827_complete_cover_diagnosis_route(true); + q828_diagnosis_run_stage( + &mut candidate_circ, + step, + &candidate_core, + &candidate_host, + true, + stage, + ); + q828_diagnosis_apply_pending(&mut candidate_circ, &mut candidate_state); + + report.stage_boundaries_checked += 1; + if let Some(field) = q827_complete_cover_mismatch( + &baseline_core, + &baseline_host, + &baseline_state, + &candidate_core, + &candidate_host, + &candidate_state, + stage == STAGES.len() - 1, + ) { + report.first_input = Some(input); + report.first_step = Some(step); + report.first_stage = Some(stage_name); + report.first_field = Some(field); + report.baseline_host = + Some(baseline_state[baseline_host.id() as usize]); + report.candidate_host = + Some(candidate_state[candidate_host.id() as usize]); + set_q827_complete_cover_diagnosis_route(true); + return report; + } + } + report.completed_steps += 1; + } + } + + set_q827_complete_cover_diagnosis_route(true); + report +} + +struct Q826ThreeClassProofEnvironment { + saved: Vec<(&'static str, Option)>, +} + +impl Q826ThreeClassProofEnvironment { + fn capture() -> Self { + let mut names = super::super::Q949_ROUTE_ENV.to_vec(); + names.extend([ + Q826_REMAINDER_T_PRIME_HOST_FLAG, + Q826_COEFFICIENT_LS_HOST_FLAG, + Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG, + ]); + names.sort_unstable(); + names.dedup(); + Self { + saved: names + .into_iter() + .map(|name| (name, std::env::var_os(name))) + .collect(), + } + } +} + +impl Drop for Q826ThreeClassProofEnvironment { + fn drop(&mut self) { + for (name, value) in self.saved.drain(..) { + match value { + Some(value) => std::env::set_var(name, value), + None => std::env::remove_var(name), + } + } + } +} + +fn set_q826_three_class_host_route(enabled: bool) { + for flag in [ + Q826_REMAINDER_T_PRIME_HOST_FLAG, + Q826_COEFFICIENT_LS_HOST_FLAG, + Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG, + ] { + if enabled { + std::env::set_var(flag, "1"); + } else { + std::env::remove_var(flag); + } + } +} + +fn q826_three_class_loan_mask(inverse: bool, step: usize, stage: usize) -> u8 { + if inverse { + match stage { + 1 if step % 4 == 0 => 0b100, + 4 => 0b010, + 6 => 0b001, + _ => 0, + } + } else { + match stage { + 2 => 0b001, + 4 => 0b010, + 7 if step % 4 == 0 => 0b100, + _ => 0, + } + } +} + +/// Compose all three default-off Q826 host classes against the Q827/Q828 +/// fresh-allocation oracle. Every production scheduled step is streamed in +/// both directions and compared after each internal stage boundary. +#[doc(hidden)] +#[must_use] +pub fn q826_three_class_integration_diagnostic() -> Q826ThreeClassIntegrationProofReport { + let _environment = Q826ThreeClassProofEnvironment::capture(); + set_q826_three_class_host_route(false); + for flag in q826_coefficient_host_proof_flags() { + std::env::remove_var(flag); + } + std::env::remove_var(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG); + + let remainder = q826_remainder_t_prime_host_diagnostic(); + let nested_counter = exhaustive_q826_coefficient_nested_counter_check(); + let coefficient = q826_coefficient_l_s_host_diagnostic(); + let rotated = q826_rotated_swap_t_prime_host_diagnostic(); + + super::super::configure_sub1000_trailmix_route(); + set_q826_three_class_host_route(false); + let fresh_route = super::super::q949_route_identity(); + set_q826_three_class_host_route(true); + let hosted_route = super::super::q949_route_identity(); + assert_ne!(fresh_route, hosted_route, "Q826 host route must be hashed"); + + const INPUTS: [u64; 8] = [1, 2, 3, 5, 7, 11, 13, 29]; + const FORWARD_STAGES: [&str; 9] = [ + "entry_reconstruction", + "pre_shift", + "remainder_update", + "location_swap", + "coefficient_block", + "post_shift", + "normalized_phase_update", + "conditional_swap", + "host_cleanup", + ]; + const INVERSE_STAGES: [&str; 9] = [ + "entry_reconstruction", + "conditional_swap_inverse", + "normalized_phase_update_inverse", + "post_shift_inverse", + "coefficient_block_inverse", + "location_swap_inverse", + "remainder_update_inverse", + "pre_shift_inverse", + "host_cleanup", + ]; + + let mut forward_steps_checked = 0usize; + let mut inverse_steps_checked = 0usize; + let mut internal_boundaries_checked = 0usize; + let mut scratch_release_checks = 0usize; + let mut no_overlap_checks = 0usize; + let mut remainder_host_windows = 0usize; + let mut coefficient_host_windows = 0usize; + let mut rotated_host_windows = 0usize; + + for input in INPUTS { + let input = alloy_primitives::U256::from(input); + set_q826_three_class_host_route(false); + let (mut fresh_circ, fresh_core, fresh_host, mut fresh_state) = + q828_diagnosis_build(input, true); + set_q826_three_class_host_route(true); + let (mut hosted_circ, hosted_core, hosted_host, mut hosted_state) = + q828_diagnosis_build(input, true); + assert!(q827_complete_cover_mismatch( + &fresh_core, + &fresh_host, + &fresh_state, + &hosted_core, + &hosted_host, + &hosted_state, + true, + ) + .is_none()); + + for step in 1..=REFERENCE_STEPS { + for (stage, stage_name) in FORWARD_STAGES.iter().enumerate() { + let fresh_active = fresh_circ.b.active_qubits; + set_q826_three_class_host_route(false); + q828_diagnosis_run_stage( + &mut fresh_circ, + step, + &fresh_core, + &fresh_host, + true, + stage, + ); + assert_eq!(fresh_circ.b.active_qubits, fresh_active, "fresh {stage_name}"); + q828_diagnosis_apply_pending(&mut fresh_circ, &mut fresh_state); + + let hosted_active = hosted_circ.b.active_qubits; + set_q826_three_class_host_route(true); + q828_diagnosis_run_stage( + &mut hosted_circ, + step, + &hosted_core, + &hosted_host, + true, + stage, + ); + assert_eq!(hosted_circ.b.active_qubits, hosted_active, "hosted {stage_name}"); + q828_diagnosis_apply_pending(&mut hosted_circ, &mut hosted_state); + + let loan_mask = q826_three_class_loan_mask(false, step, stage); + assert!(loan_mask.count_ones() <= 1, "overlapping Q826 host windows"); + remainder_host_windows += usize::from(loan_mask & 0b001 != 0); + coefficient_host_windows += usize::from(loan_mask & 0b010 != 0); + rotated_host_windows += usize::from(loan_mask & 0b100 != 0); + no_overlap_checks += 1; + scratch_release_checks += 2; + internal_boundaries_checked += 1; + assert_eq!( + q827_complete_cover_mismatch( + &fresh_core, + &fresh_host, + &fresh_state, + &hosted_core, + &hosted_host, + &hosted_state, + stage == FORWARD_STAGES.len() - 1, + ), + None, + "Q826 forward oracle mismatch at step {step} stage {stage_name}" + ); + } + forward_steps_checked += 1; + } + + set_q826_three_class_host_route(false); + let fresh_terminal = register_shared_release_terminal(&mut fresh_circ, fresh_core); + register_shared_terminal_rotate_high( + &mut fresh_circ, + &fresh_terminal.l_s, + &fresh_terminal.work2, + ); + toggle_terminal_inverse_sign(&mut fresh_circ, &fresh_terminal); + toggle_terminal_inverse_sign(&mut fresh_circ, &fresh_terminal); + register_shared_terminal_rotate_low( + &mut fresh_circ, + &fresh_terminal.l_s, + &fresh_terminal.work2, + ); + let fresh_core = register_shared_rebuild_terminal(&mut fresh_circ, fresh_terminal); + q828_diagnosis_apply_pending(&mut fresh_circ, &mut fresh_state); + + set_q826_three_class_host_route(true); + let hosted_terminal = register_shared_release_terminal(&mut hosted_circ, hosted_core); + register_shared_terminal_rotate_high( + &mut hosted_circ, + &hosted_terminal.l_s, + &hosted_terminal.work2, + ); + toggle_terminal_inverse_sign(&mut hosted_circ, &hosted_terminal); + toggle_terminal_inverse_sign(&mut hosted_circ, &hosted_terminal); + register_shared_terminal_rotate_low( + &mut hosted_circ, + &hosted_terminal.l_s, + &hosted_terminal.work2, + ); + let hosted_core = register_shared_rebuild_terminal(&mut hosted_circ, hosted_terminal); + q828_diagnosis_apply_pending(&mut hosted_circ, &mut hosted_state); + assert!(q827_complete_cover_mismatch( + &fresh_core, + &fresh_host, + &fresh_state, + &hosted_core, + &hosted_host, + &hosted_state, + true, + ) + .is_none()); + + for step in (1..=REFERENCE_STEPS).rev() { + for (stage, stage_name) in INVERSE_STAGES.iter().enumerate() { + let fresh_active = fresh_circ.b.active_qubits; + set_q826_three_class_host_route(false); + q826_three_class_run_inverse_stage( + &mut fresh_circ, + step, + &fresh_core, + &fresh_host, + stage, + ); + assert_eq!(fresh_circ.b.active_qubits, fresh_active, "fresh {stage_name}"); + q828_diagnosis_apply_pending(&mut fresh_circ, &mut fresh_state); + + let hosted_active = hosted_circ.b.active_qubits; + set_q826_three_class_host_route(true); + q826_three_class_run_inverse_stage( + &mut hosted_circ, + step, + &hosted_core, + &hosted_host, + stage, + ); + assert_eq!(hosted_circ.b.active_qubits, hosted_active, "hosted {stage_name}"); + q828_diagnosis_apply_pending(&mut hosted_circ, &mut hosted_state); + + let loan_mask = q826_three_class_loan_mask(true, step, stage); + assert!(loan_mask.count_ones() <= 1, "overlapping Q826 inverse host windows"); + remainder_host_windows += usize::from(loan_mask & 0b001 != 0); + coefficient_host_windows += usize::from(loan_mask & 0b010 != 0); + rotated_host_windows += usize::from(loan_mask & 0b100 != 0); + no_overlap_checks += 1; + scratch_release_checks += 2; + internal_boundaries_checked += 1; + assert_eq!( + q827_complete_cover_mismatch( + &fresh_core, + &fresh_host, + &fresh_state, + &hosted_core, + &hosted_host, + &hosted_state, + stage == INVERSE_STAGES.len() - 1, + ), + None, + "Q826 inverse oracle mismatch at step {step} stage {stage_name}" + ); + } + inverse_steps_checked += 1; + } + } + + set_q826_three_class_host_route(false); + for flag in [ + Q826_REMAINDER_T_PRIME_HOST_FLAG, + Q826_COEFFICIENT_LS_HOST_FLAG, + Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG, + ] { + assert!(std::env::var_os(flag).is_none(), "Q826 flag did not default off"); + } + + Q826ThreeClassIntegrationProofReport { + remainder, + nested_counter, + coefficient, + rotated, + inputs_checked: INPUTS.len(), + forward_steps_checked, + inverse_steps_checked, + internal_boundaries_checked, + scratch_release_checks, + no_overlap_checks, + remainder_host_windows, + coefficient_host_windows, + rotated_host_windows, + route_hash_checks: 1, + } +} + +fn toggle_terminal_inverse_sign(circ: &mut Circuit, terminal: &RegisterSharedTerminal) { + use super::shrunken_pz_state_machine::controlled_field_neg; + + circ.x(&terminal.iteration_parity); + controlled_field_neg( + circ, + &terminal.iteration_parity, + &terminal.work2[..REGISTER_SHARED_FIELD_WIDTH], + ); + circ.x(&terminal.iteration_parity); +} + +fn q828_terminal_rotate_high(circ: &mut Circuit, l_s_high: &[QReg], register: &[QReg]) { + assert_eq!(l_s_high.len(), REFERENCE_LENGTH_WIDTH - 1); + if register.len() < 2 { + return; + } + // REFERENCE_STEPS is odd, so the terminal logical length is 1 + 2H. + for current in 1..register.len() { + circ.swap(®ister[0], ®ister[current]); + } + let mut offset = 2 % register.len(); + for control in l_s_high { + controlled_rotate_high_by(circ, control, register, offset); + offset = (2 * offset) % register.len(); + } +} + +fn q828_terminal_rotate_low(circ: &mut Circuit, l_s_high: &[QReg], register: &[QReg]) { + assert_eq!(l_s_high.len(), REFERENCE_LENGTH_WIDTH - 1); + if register.len() < 2 { + return; + } + let mut offsets = Vec::with_capacity(l_s_high.len()); + let mut offset = 2 % register.len(); + for _ in l_s_high { + offsets.push(offset); + offset = (2 * offset) % register.len(); + } + for (control, offset) in l_s_high.iter().zip(offsets).rev() { + controlled_rotate_low_by(circ, control, register, offset); + } + for current in (1..register.len()).rev() { + circ.swap(®ister[0], ®ister[current]); + } +} + +fn register_shared_terminal_rotate_high( + circ: &mut Circuit, + l_s: &[QReg], + register: &[QReg], +) { + if q828_ls_parity_requested() { + q828_terminal_rotate_high(circ, l_s, register); + } else { + variable_rotate_high(circ, l_s, register); + } +} + +fn register_shared_terminal_rotate_low(circ: &mut Circuit, l_s: &[QReg], register: &[QReg]) { + if q828_ls_parity_requested() { + q828_terminal_rotate_low(circ, l_s, register); + } else { + variable_rotate_low(circ, l_s, register); + } +} + +/// Experimental complete register-shared divider lifecycle. +/// +/// The Q883 candidate selects this API in source. It remains unsubmitted until +/// source-bound support and trusted evaluator gates are complete. +pub fn register_shared_divide_forward( + circ: &mut Circuit, + dx: Vec, + dy: Vec, +) -> (Vec, Vec, Vec) { + use crate::point_add::trailmix_port::arith::rfold_mbu::mod_mul_canonical_mbu; + + assert_eq!(dx.len(), REGISTER_SHARED_FIELD_WIDTH); + assert_eq!(dy.len(), REGISTER_SHARED_FIELD_WIDTH); + let core = register_shared_initialize(circ, dx); + // The canonical top lane is zero throughout the EEA schedule and is not + // otherwise touched until terminal multiplication. Each local borrower + // restores it before returning. + let preserved_dy_top = &dy[REGISTER_SHARED_FIELD_WIDTH - 1]; + register_shared_forward(circ, &core, Some(preserved_dy_top)); + let terminal = register_shared_release_terminal(circ, core); + + register_shared_terminal_rotate_high(circ, &terminal.l_s, &terminal.work2); + toggle_terminal_inverse_sign(circ, &terminal); + let mut lambda = circ.alloc_qreg_bits("rs.divider.lambda", REGISTER_SHARED_FIELD_WIDTH); + mod_mul_canonical_mbu( + circ, + &lambda, + &terminal.work2[..REGISTER_SHARED_FIELD_WIDTH], + &dy, + ); + toggle_terminal_inverse_sign(circ, &terminal); + register_shared_terminal_rotate_low(circ, &terminal.l_s, &terminal.work2); + + let lambda_top = lambda.pop().expect("canonical lambda top lane"); + let dy_ghosts: Vec<_> = dy.iter().map(|lane| circ.hmr_ghost(lane)).collect(); + free_clean(circ, dy); + + let core = register_shared_rebuild_terminal(circ, terminal); + // Keep the already-clean canonical top lane through the rebuilt reverse + // schedule. It hosts the omitted l_q high bit at swap scans and replaces + // the third ULS ancilla, so this lifetime extension does not recreate the + // removed persistent lane at the global peak. + register_shared_reverse(circ, &core, Some(&lambda_top)); + let dx = register_shared_finish(circ, core); + + lambda.push(lambda_top); + let dy = circ.alloc_qreg_bits("rs.divider.dy-restored", REGISTER_SHARED_FIELD_WIDTH); + mod_mul_canonical_mbu(circ, &dy, &lambda, &dx); + for (ghost, lane) in dy_ghosts.into_iter().zip(&dy) { + circ.resolve_ghost(ghost, lane); + } + (dx, dy, lambda) +} + +/// Experimental inverse-witness cleanup for [`register_shared_divide_forward`]. +pub fn register_shared_divide_cancel( + circ: &mut Circuit, + dx: Vec, + dy: Vec, + lambda: Vec, +) -> (Vec, Vec) { + use crate::point_add::trailmix_port::arith::rfold_mbu::{ + mod_mul_canonical_mbu, mod_mul_canonical_mbu_undo, + }; + + assert_eq!(dx.len(), REGISTER_SHARED_FIELD_WIDTH); + assert_eq!(dy.len(), REGISTER_SHARED_FIELD_WIDTH); + assert_eq!(lambda.len(), REGISTER_SHARED_FIELD_WIDTH); + let lambda_ghosts: Vec<_> = lambda.iter().map(|lane| circ.hmr_ghost(lane)).collect(); + free_clean(circ, lambda); + + let core = register_shared_initialize(circ, dx); + // `dy` is the canonical product restored by divide-forward. Its clean top + // lane is restored by every borrower before this schedule returns to the + // terminal multiplication below, and remains available to the rebuilt + // inverse schedule after that multiplication is undone. + let preserved_dy_top = &dy[REGISTER_SHARED_FIELD_WIDTH - 1]; + register_shared_forward(circ, &core, Some(preserved_dy_top)); + let terminal = register_shared_release_terminal(circ, core); + register_shared_terminal_rotate_high(circ, &terminal.l_s, &terminal.work2); + toggle_terminal_inverse_sign(circ, &terminal); + + let quotient = circ.alloc_qreg_bits("rs.divider.quotient-check", REGISTER_SHARED_FIELD_WIDTH); + mod_mul_canonical_mbu( + circ, + "ient, + &terminal.work2[..REGISTER_SHARED_FIELD_WIDTH], + &dy, + ); + for (ghost, lane) in lambda_ghosts.into_iter().zip("ient) { + circ.resolve_ghost(ghost, lane); + } + mod_mul_canonical_mbu_undo( + circ, + "ient, + &terminal.work2[..REGISTER_SHARED_FIELD_WIDTH], + &dy, + ); + free_clean(circ, quotient); + + toggle_terminal_inverse_sign(circ, &terminal); + register_shared_terminal_rotate_low(circ, &terminal.l_s, &terminal.work2); + let core = register_shared_rebuild_terminal(circ, terminal); + register_shared_reverse(circ, &core, Some(preserved_dy_top)); + let dx = register_shared_finish(circ, core); + (dx, dy) +} + +#[allow(clippy::too_many_arguments)] +pub fn register_shared_full_window_step_inverse( + circ: &mut Circuit, + phase1: &QReg, + phase2: &QReg, + iteration_parity: &QReg, + sign: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_t_prime: &[QReg], + l_q: &[QReg], + l_s: &[QReg], + l_r_prime: &[QReg], + emit_length_swap: bool, +) { + assert_eq!(work1.len(), work2.len()); + assert_eq!(l_t.len(), l_t_prime.len()); + let work_width = work1.len(); + let length_width = l_t.len(); + + if emit_length_swap { + let condition_scratch = circ.alloc_qreg_bits("rs.step.swap-condition", length_width + 1); + let zero_q = &condition_scratch[0]; + let zero_s = &condition_scratch[1]; + let control = &condition_scratch[2]; + let chain = &condition_scratch[3..]; + compute_zero(circ, l_q, zero_q, chain); + compute_zero(circ, l_s, zero_s, chain); + conditional_work_and_length_swap_under_zero_predicate( + circ, + zero_q, + zero_s, + control, + iteration_parity, + work1, + work2, + l_t, + l_t_prime, + l_q, + l_s, + l_r_prime, + (1, work_width), + (1, work_width), + if rotated_bitlen_scratch_reuse_requested() { + chain + } else { + &[] + }, + &[], + true, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(circ, l_s, zero_s, chain); + uncompute_zero(circ, l_q, zero_q, chain); + free_clean(circ, condition_scratch); + } + + let phase_scratch = circ.alloc_qreg_bits( + "rs.step.phase-scratch", + normalized_phase_scratch_width(length_width), + ); + normalized_phase_update_inverse( + circ, + phase1, + phase2, + sign, + l_q, + l_r_prime, + l_s, + &phase_scratch, + ); + free_clean(circ, phase_scratch); + + let post_scratch = circ.alloc_qreg_bits("rs.step.post-scratch", length_width + 4); + super::register_shared_eea_microkernels::post_shift_inverse( + circ, + phase1, + phase2, + work2, + l_s, + &post_scratch, + ); + free_clean(circ, post_scratch); + + coefficient_phase_block( + circ, phase1, phase2, sign, work1, work2, work2, l_t, l_t_prime, l_s, l_r_prime, true, + ); + + let location_scratch = circ.alloc_qreg_bits("rs.step.location-scratch", length_width + 2); + location_controlled_swap_one_hot_inverse( + circ, + phase1, + phase2, + sign, + work1, + 0, + l_t, + l_q, + &location_scratch, + ); + free_clean(circ, location_scratch); + + let remainder_scratch = circ.alloc_qreg_bits( + "rs.step.remainder-scratch", + remainder_scratch_width(length_width, l_r_prime.len()), + ); + remainder_add_window_inverse( + circ, + work_width, + work_width, + phase1, + phase2, + sign, + work1, + work2, + l_t, + l_q, + l_s, + l_r_prime, + &remainder_scratch, + ); + remainder_phase_sign_flip(circ, phase1, phase2, sign, l_r_prime, &remainder_scratch); + remainder_sub_window_inverse( + circ, + work_width, + work_width, + phase1, + sign, + work1, + work2, + l_t, + l_q, + l_s, + l_r_prime, + &remainder_scratch, + ); + free_clean(circ, remainder_scratch); + + let pre_scratch = circ.alloc_qreg_bits("rs.step.pre-scratch", length_width + 4); + super::register_shared_eea_microkernels::pre_shift_inverse( + circ, + phase1, + phase2, + work2, + l_s, + &pre_scratch, + ); + free_clean(circ, pre_scratch); +} + +fn build_coefficient_boundary_comparator( + length_width: usize, + borrowed: bool, + controlled_roundtrip: bool, +) -> B { + assert!(length_width > 0); + let previous_flag = std::env::var_os("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH"); + if borrowed { + std::env::set_var("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", "1"); + } else { + std::env::remove_var("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH"); + } + + let mut circ = Circuit::new(); + let control = controlled_roundtrip.then(|| circ.alloc_qreg("rs.coeff-proof.control")); + let target_length = circ.alloc_qreg_bits("rs.coeff-proof.target-length", length_width); + let l_t = circ.alloc_qreg_bits("rs.coeff-proof.l-t", length_width); + let l_s = circ.alloc_qreg_bits("rs.coeff-proof.l-s", length_width); + let target = circ.alloc_qreg("rs.coeff-proof.target"); + let scratch = if borrowed { + circ.alloc_qreg_bits("rs.coeff-proof.borrowed-scratch", 3) + } else { + Vec::new() + }; + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + + if let Some(control) = control.as_ref() { + let predicate = circ.alloc_qreg("rs.coeff-proof.predicate"); + toggle_coefficient_length_above_boundary( + &mut circ, + &target_length, + &l_t, + &l_s, + &predicate, + &scratch_refs, + ); + circ.ccx(control, &predicate, &target); + toggle_coefficient_length_above_boundary( + &mut circ, + &target_length, + &l_t, + &l_s, + &predicate, + &scratch_refs, + ); + circ.zero_and_free(predicate); + } else { + toggle_coefficient_length_above_boundary( + &mut circ, + &target_length, + &l_t, + &l_s, + &target, + &scratch_refs, + ); + } + free_clean(&mut circ, scratch); + + match previous_flag { + Some(value) => std::env::set_var("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", value), + None => std::env::remove_var("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH"), + } + circ.into_builder() +} + +#[must_use] +pub fn exhaustive_borrowed_coefficient_comparator_check( +) -> ReferenceBorrowedCoefficientComparatorProofReport { + let mut basis_states_checked = 0usize; + let mut control_off_identity_checks = 0usize; + let mut equality_boundary_checks = 0usize; + let mut subtraction_underflow_checks = 0usize; + let mut addition_overflow_checks = 0usize; + let mut oracle_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut operand_restore_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for length_width in 1..=3 { + let baseline = build_coefficient_boundary_comparator(length_width, false, true); + let borrowed = build_coefficient_boundary_comparator(length_width, true, true); + let mask = (1u64 << length_width) - 1; + let target_offset = 1 + 3 * length_width; + let data_width = target_offset + 1; + let preserved_mask = (1u64 << target_offset) - 1; + + for input in 0..(1u64 << data_width) { + let control = input & 1 != 0; + let target_length = (input >> 1) & mask; + let l_t = (input >> (1 + length_width)) & mask; + let l_s = (input >> (1 + 2 * length_width)) & mask; + let full_sum = l_t + l_s; + let boundary = full_sum & mask; + let predicate = target_length > boundary; + let expected = input ^ (u64::from(control && predicate) << target_offset); + + let baseline_output = apply_scalar(&baseline.ops, input); + let borrowed_output = apply_scalar(&borrowed.ops, input); + assert_eq!(baseline_output, expected); + assert_eq!(borrowed_output, expected); + assert_eq!(borrowed_output, baseline_output); + assert_eq!(baseline_output >> data_width, 0); + assert_eq!(borrowed_output >> data_width, 0); + assert_eq!(baseline_output & preserved_mask, input & preserved_mask); + assert_eq!(borrowed_output & preserved_mask, input & preserved_mask); + assert_eq!(apply_scalar(&baseline.ops, baseline_output), input); + assert_eq!(apply_scalar(&borrowed.ops, borrowed_output), input); + + basis_states_checked += 1; + oracle_equivalence_checks += 1; + inverse_pair_checks += 2; + operand_restore_checks += 2; + ancilla_clean_checks += 2; + if !control { + assert_eq!(borrowed_output, input); + control_off_identity_checks += 1; + } + if target_length == boundary { + equality_boundary_checks += 1; + } + if predicate { + subtraction_underflow_checks += 1; + } + if full_sum > mask { + addition_overflow_checks += 1; + } + } + } + + let baseline_reference9_builder = + build_coefficient_boundary_comparator(REFERENCE_LENGTH_WIDTH, false, false); + let borrowed_reference9_builder = + build_coefficient_boundary_comparator(REFERENCE_LENGTH_WIDTH, true, false); + let baseline_reference9 = measurement_classical_gate_counts(&baseline_reference9_builder.ops); + let borrowed_reference9 = measurement_classical_gate_counts(&borrowed_reference9_builder.ops); + let baseline_reference9_active_qubits = baseline_reference9_builder.active_qubits as usize; + let baseline_reference9_peak_qubits = baseline_reference9_builder.peak_qubits as usize; + let borrowed_reference9_active_qubits = borrowed_reference9_builder.active_qubits as usize; + let borrowed_reference9_peak_qubits = borrowed_reference9_builder.peak_qubits as usize; + let baseline_reference9_temporary_qubits = + baseline_reference9_peak_qubits - baseline_reference9_active_qubits; + let borrowed_reference9_temporary_qubits = + borrowed_reference9_peak_qubits - borrowed_reference9_active_qubits; + + assert_eq!( + baseline_reference9_active_qubits, + 3 * REFERENCE_LENGTH_WIDTH + 1 + ); + assert_eq!( + borrowed_reference9_active_qubits, + baseline_reference9_active_qubits + ); + assert_eq!(baseline_reference9_temporary_qubits, 33); + assert_eq!(borrowed_reference9_temporary_qubits, 13); + assert!(borrowed_reference9.ccx < baseline_reference9.ccx); + assert!(borrowed_reference9_peak_qubits < baseline_reference9_peak_qubits); + + ReferenceBorrowedCoefficientComparatorProofReport { + widths_checked: 3, + basis_states_checked, + control_off_identity_checks, + equality_boundary_checks, + subtraction_underflow_checks, + addition_overflow_checks, + oracle_equivalence_checks, + inverse_pair_checks, + operand_restore_checks, + ancilla_clean_checks, + baseline_reference9, + borrowed_reference9, + baseline_reference9_active_qubits, + baseline_reference9_peak_qubits, + baseline_reference9_temporary_qubits, + borrowed_reference9_active_qubits, + borrowed_reference9_peak_qubits, + borrowed_reference9_temporary_qubits, + borrowed_caller_lanes: 3, + borrowed_reference9_fresh_qubits: REFERENCE_LENGTH_WIDTH + 1, + reference9_toffoli_reduction: baseline_reference9.ccx - borrowed_reference9.ccx, + reference9_standalone_peak_reduction: baseline_reference9_peak_qubits + - borrowed_reference9_peak_qubits, + production_incremental_caller_qubits: 0, + reference9_production_local_peak_reduction: baseline_reference9_temporary_qubits + - (REFERENCE_LENGTH_WIDTH + 1), + } +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct CoefficientRawBitLengthLoanLocalResources { + pub active_qubits: usize, + pub peak_qubits: usize, + pub temporary_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct CoefficientRawBitLengthLoanProofReport { + pub configurations_checked: usize, + pub zero_modes_checked: usize, + pub directions_checked: usize, + pub basis_states_checked: usize, + pub baseline_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub add_only_one_checks: usize, + pub comparator_boundary_checks: usize, + pub borrowed_lane_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub no_overflow_widths_checked: usize, + pub no_overflow_basis_states_checked: usize, + pub no_overflow_inverse_pair_checks: usize, + pub default_stream_identity_checks: usize, + pub precondition_rejections: usize, + pub legacy_baseline_zero_carry_allocations: usize, + pub legacy_loan_zero_carry_allocations: usize, + pub fused_loan_zero_flag_allocations: usize, + pub fused_loan_zero_carry_allocations: usize, + pub fused_loan_zero_prefix_allocations: usize, + pub baseline_raw_rotation_carry_allocations: usize, + pub baseline_raw_rotation_overflow_allocations: usize, + pub baseline_rotated_carry_allocations: usize, + pub baseline_rotated_overflow_allocations: usize, + pub baseline_rotated_enabled_allocations: usize, + pub loan_raw_rotation_carry_allocations: usize, + pub loan_raw_rotation_overflow_allocations: usize, + pub loan_rotated_carry_allocations: usize, + pub loan_rotated_overflow_allocations: usize, + pub loan_rotated_enabled_allocations: usize, + pub baseline_local: CoefficientRawBitLengthLoanLocalResources, + pub loan_local: CoefficientRawBitLengthLoanLocalResources, + pub local_qubit_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct InplaceRotatedBoundaryLocalResources { + pub active_qubits: usize, + pub peak_qubits: usize, + pub temporary_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct InplaceRotatedBoundaryProofReport { + pub configurations_checked: usize, + pub zero_modes_checked: usize, + pub scratch_modes_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub saturation_underflow_checks: usize, + pub nonnegative_difference_checks: usize, + pub preserved_input_checks: usize, + pub borrowed_scratch_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub arithmetic_widths_checked: usize, + pub arithmetic_basis_states_checked: usize, + pub arithmetic_inverse_pair_checks: usize, + pub default_stream_identity_checks: usize, + pub configured_stream_selection_checks: usize, + pub baseline_boundary_qubits_allocated: usize, + pub candidate_boundary_qubits_allocated: usize, + pub candidate_inplace_boundary_uses: usize, + pub baseline_local: InplaceRotatedBoundaryLocalResources, + pub candidate_local: InplaceRotatedBoundaryLocalResources, + pub local_qubit_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct BorrowedRotatedUnderflowProofReport { + pub configurations_checked: usize, + pub boundary_forms_checked: usize, + pub paired_source_modes_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub saturation_underflow_checks: usize, + pub nonnegative_difference_checks: usize, + pub preserved_input_checks: usize, + pub borrowed_scratch_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub same_boundary_baseline: InplaceRotatedBoundaryLocalResources, + pub same_boundary_candidate: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_baseline: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_candidate: InplaceRotatedBoundaryLocalResources, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SplitMixedRotatedLengthProofReport { + pub configurations_checked: usize, + pub paired_source_modes_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub high_indicator_checks: usize, + pub saturation_underflow_checks: usize, + pub nonnegative_difference_checks: usize, + pub preserved_input_checks: usize, + pub borrowed_scratch_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub baseline_local: InplaceRotatedBoundaryLocalResources, + pub candidate_local: InplaceRotatedBoundaryLocalResources, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SplitSameRotatedLengthProofReport { + pub configurations_checked: usize, + pub paired_source_modes_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub high_indicator_checks: usize, + pub saturation_underflow_checks: usize, + pub nonnegative_difference_checks: usize, + pub preserved_input_checks: usize, + pub borrowed_scratch_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub baseline_local: InplaceRotatedBoundaryLocalResources, + pub candidate_local: InplaceRotatedBoundaryLocalResources, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SplitTwoHighRotatedLengthProofReport { + pub borrow_truth_table_cases: usize, + pub bit_lengths_checked: usize, + pub high_indicator_basis_states: usize, + pub high_indicator_inverse_checks: usize, + pub high_indicator_source_restore_checks: usize, + pub high_indicator_scratch_clean_checks: usize, + pub same_arithmetic_cases: usize, + pub mixed_arithmetic_cases: usize, + pub same_circuit_basis_states: usize, + pub mixed_circuit_basis_states: usize, + pub scalar_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub phase_clean_checks: usize, + pub scratch_restore_checks: usize, + pub same_boundary_baseline: InplaceRotatedBoundaryLocalResources, + pub same_boundary_candidate: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_baseline: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_candidate: InplaceRotatedBoundaryLocalResources, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SplitThreeHighRotatedLengthProofReport { + pub borrow_truth_table_cases: usize, + pub bit_lengths_checked: usize, + pub regression_192_255_cases: usize, + pub complement_modes_checked: usize, + pub initial_high_states_checked: usize, + pub high_indicator_basis_states: usize, + pub high_indicator_inverse_checks: usize, + pub high_indicator_source_restore_checks: usize, + pub high_indicator_scratch_clean_checks: usize, + pub same_arithmetic_cases: usize, + pub mixed_arithmetic_cases: usize, + pub same_circuit_basis_states: usize, + pub mixed_circuit_basis_states: usize, + pub scalar_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub phase_clean_checks: usize, + pub scratch_restore_checks: usize, + pub dirty_lender_restore_checks: usize, + pub route_precedence_checks: usize, + pub same_boundary_two_high: InplaceRotatedBoundaryLocalResources, + pub same_boundary_candidate: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_two_high: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_candidate: InplaceRotatedBoundaryLocalResources, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SplitFourHighRotatedLengthProofReport { + pub borrow_truth_table_cases: usize, + pub bit_lengths_checked: usize, + pub regression_224_255_cases: usize, + pub complement_modes_checked: usize, + pub source_classes_checked: usize, + pub initial_high_states_checked: usize, + pub high_indicator_basis_states: usize, + pub high_indicator_inverse_checks: usize, + pub high_indicator_source_restore_checks: usize, + pub high_indicator_scratch_clean_checks: usize, + pub same_arithmetic_cases: usize, + pub mixed_arithmetic_cases: usize, + pub same_circuit_basis_states: usize, + pub mixed_circuit_basis_states: usize, + pub production_same_circuit_cases: usize, + pub production_mixed_circuit_cases: usize, + pub production_inverse_checks: usize, + pub production_scratch_restore_checks: usize, + pub production_dirty_lender_restore_checks: usize, + pub scalar_equivalence_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub phase_clean_checks: usize, + pub scratch_restore_checks: usize, + pub dirty_lender_restore_checks: usize, + pub route_precedence_checks: usize, + pub same_boundary_three_high: InplaceRotatedBoundaryLocalResources, + pub same_boundary_candidate: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_three_high: InplaceRotatedBoundaryLocalResources, + pub mixed_boundary_candidate: InplaceRotatedBoundaryLocalResources, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q827SerialSplitFiveProofReport { + pub borrow_truth_table_cases: usize, + pub enabled_anf_cases: usize, + pub bit_lengths_checked: usize, + pub high_bit_identity_checks: usize, + pub same_arithmetic_cases: usize, + pub mixed_arithmetic_cases: usize, + pub high_indicator_cases: usize, + pub high_indicator_inverse_checks: usize, + pub high_indicator_source_restore_checks: usize, + pub high_indicator_scratch_restore_checks: usize, + pub reduced_basis_states_checked: usize, + pub reduced_forward_equivalence_checks: usize, + pub reduced_inverse_pair_checks: usize, + pub reduced_phase_clean_checks: usize, + pub reduced_ancilla_clean_checks: usize, + pub reduced_dirty_lender_restore_checks: usize, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct PairedBitLengthSourceComplementLocalResources { + pub active_qubits: usize, + pub peak_qubits: usize, + pub temporary_qubits: usize, + pub emitted_ops: usize, + pub emitted_x: usize, + pub emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct PairedBitLengthSourceComplementProofReport { + pub source_widths_checked: usize, + pub maximum_source_width: usize, + pub boundary_forms_checked: usize, + pub scratch_modes_checked: usize, + pub boundary_routes_checked: usize, + pub configurations_checked: usize, + pub basis_states_checked: usize, + pub oracle_checks: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_checks: usize, + pub source_restore_checks: usize, + pub boundary_restore_checks: usize, + pub borrowed_scratch_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_stream_identity_checks: usize, + pub non_x_kind_identity_checks: usize, + pub local_source_width: usize, + pub local_output_width: usize, + pub local_boundary_width: usize, + pub local_baseline: PairedBitLengthSourceComplementLocalResources, + pub local_optimized: PairedBitLengthSourceComplementLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_x_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct CoefficientNonnegativeXCancelProofReport { + pub cursor_widths_checked: usize, + pub body_kinds_checked: usize, + pub configurations_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub cursor_restore_checks: usize, + pub active_restore_checks: usize, + pub scratch_clean_checks: usize, + pub control_off_identity_checks: usize, + pub default_stream_identity_checks: usize, + pub non_x_kind_identity_checks: usize, + pub local_ops_delta: i64, + pub local_x_delta: i64, + pub local_toffoli_delta: i64, + pub scheduled_steps: usize, + pub active_coefficient_positions: usize, + pub bracket_pairs_per_phase_block_position: usize, + pub coefficient_phase_blocks_per_point_add: usize, + pub removed_x_per_position: usize, + pub total_removed_x: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q845LifetimeCoefficientFusionProofReport { + pub guard_widths_checked: usize, + pub guard_basis_states_checked: usize, + pub guard_scratch_clean_checks: usize, + pub guard_carry_out_cases_checked: usize, + pub packed_widths_checked: usize, + pub packed_basis_states_checked: usize, + pub packed_rotation_mapping_checks: usize, + pub packed_wrapped_residue_checks: usize, + pub packed_source_guard_clean_checks: usize, + pub packed_underflow_equivalence_checks: usize, + pub packed_add_headroom_checks: usize, + pub minimum_spill_width: usize, + pub work_widths_checked: usize, + pub active_width_cases_checked: usize, + pub promised_basis_states_checked: usize, + pub oracle_transition_checks: usize, + pub inverse_pair_checks: usize, + pub control_off_identity_checks: usize, + pub underflow_checks: usize, + pub above_guard_checks: usize, + pub add_headroom_checks: usize, + pub scratch_clean_checks: usize, + pub cursor_restore_checks: usize, + pub default_off_stream_identity_checks: usize, + pub dispatch_stream_identity_checks: usize, +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +pub struct FusedPrefixScratchLoanLocalResources { + pub active_qubits: usize, + pub peak_qubits: usize, + pub temporary_qubits: usize, + pub emitted_ops: usize, + pub emitted_toffoli: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct FusedPrefixScratchLoanProofReport { + pub source_widths_checked: usize, + pub maximum_source_width: usize, + pub accumulator_width: usize, + pub lender_modes_checked: usize, + pub directions_checked: usize, + pub basis_states_checked: usize, + pub scalar_equivalence_checks: usize, + pub simulator_equivalence_checks: usize, + pub phase_clean_checks: usize, + pub inverse_pair_checks: usize, + pub source_restore_checks: usize, + pub lender_clean_checks: usize, + pub ancilla_clean_checks: usize, + pub default_stream_identity_checks: usize, + pub kg_reverse_composition_checks: usize, + pub kg_reverse_simulator_checks: usize, + pub kg_reverse_phase_clean_checks: usize, + pub kg_reverse_inverse_pair_checks: usize, + pub kg_reverse_scratch_clean_checks: usize, + pub kg_reverse_changed_streams: usize, + pub alias_rejections: usize, + pub three_lender_owned_lanes: usize, + pub three_lender_borrowed_lanes: usize, + pub seven_lender_owned_lanes: usize, + pub seven_lender_borrowed_lanes: usize, + pub eight_lender_owned_lanes: usize, + pub eight_lender_borrowed_lanes: usize, + pub nine_lender_owned_lanes: usize, + pub nine_lender_borrowed_lanes: usize, + pub baseline_local_trace: FusedPrefixScratchLoanAllocationTrace, + pub candidate_local_trace: FusedPrefixScratchLoanAllocationTrace, + pub baseline_local: FusedPrefixScratchLoanLocalResources, + pub candidate_local: FusedPrefixScratchLoanLocalResources, + pub local_qubit_delta: i64, + pub local_ops_delta: i64, + pub local_toffoli_delta: i64, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum RawBitLengthZeroMode { + Legacy, + Fused, +} + +struct RawBitLengthProofEnvironment { + saved: Vec<(&'static str, Option)>, +} + +impl RawBitLengthProofEnvironment { + fn capture() -> Self { + const NAMES: [&str; 30] = [ + COEFFICIENT_RAW_BITLEN_LOAN_FLAG, + INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG, + FUSED_PREFIX_SCRATCH_LOAN_FLAG, + PRESERVED_DY_TOP_PREFIX_LOAN_FLAG, + MIXED_WIDTH_L_R_PRIME_FLAG, + PROMISED_LQ_SWAP_BORROW_FLAG, + SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG, + COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG, + super::shrunken_pz_state_machine::CALLER_SCRATCH_KG_REVERSE_DECREMENT_FLAG, + CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG, + "LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", + "LOWQ_DIRECT_PREFIX_BITLEN", + "LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX", + "LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH", + "LOWQ_FUSED_ZERO_PREFIX_BITLEN", + "LOWQ_DIRECT_PREFIX_DIRTY_UPDATE", + "LOWQ_DIRECT_PREFIX_NO_FLAG", + "LOWQ_RS_DIRTY_ZERO_CORRECTION", + PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, + PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, + SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, + SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG, + SUB800_ULS_FUSED_TARGET_FLAG, + SUB800_ULS_DIRECT_SELECTOR_FLAG, + ]; + Self { + saved: NAMES + .into_iter() + .map(|name| (name, std::env::var_os(name))) + .collect(), + } + } +} + +impl Drop for RawBitLengthProofEnvironment { + fn drop(&mut self) { + for (name, value) in self.saved.drain(..) { + match value { + Some(value) => std::env::set_var(name, value), + None => std::env::remove_var(name), + } + } + } +} + +fn configure_raw_bit_length_loan_proof(mode: RawBitLengthZeroMode, loan: bool) { + std::env::set_var("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", "1"); + std::env::set_var("LOWQ_DIRECT_PREFIX_BITLEN", "1"); + std::env::set_var("LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX", "1"); + for name in [ + "LOWQ_DIRECT_PREFIX_DIRTY_UPDATE", + "LOWQ_DIRECT_PREFIX_NO_FLAG", + "LOWQ_RS_DIRTY_ZERO_CORRECTION", + ] { + std::env::remove_var(name); + } + match mode { + RawBitLengthZeroMode::Legacy => { + std::env::remove_var("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH"); + std::env::remove_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN"); + } + RawBitLengthZeroMode::Fused => { + std::env::set_var("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH", "1"); + std::env::set_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN", "1"); + } + } + if loan { + std::env::set_var(COEFFICIENT_RAW_BITLEN_LOAN_FLAG, "1"); + } else { + std::env::remove_var(COEFFICIENT_RAW_BITLEN_LOAN_FLAG); + } + std::env::remove_var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG); + std::env::remove_var(FUSED_PREFIX_SCRATCH_LOAN_FLAG); + std::env::remove_var(PROMISED_LQ_SWAP_BORROW_FLAG); + std::env::remove_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG); + std::env::remove_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG); + std::env::remove_var(SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG); + std::env::remove_var(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG); + std::env::remove_var( + super::shrunken_pz_state_machine::CALLER_SCRATCH_KG_REVERSE_DECREMENT_FLAG, + ); + std::env::remove_var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG); +} + +struct RawBitLengthProofHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + control_mask: u64, + output_mask: u64, + preserved_mask: u64, + chain_mask: u64, + add_only_mask: u64, + borrowed_mask: u64, + after_first_comparator: usize, + raw_start: usize, + raw_end: usize, + before_second_comparator: usize, + raw_trace: RawBitLengthAllocationTrace, + zero_trace: DynamicBitLengthZeroAllocationTrace, +} + +fn qreg_mask<'a>(lanes: impl IntoIterator) -> u64 { + lanes.into_iter().fold(0u64, |mask, lane| { + mask | 1u64.checked_shl(lane.id()).unwrap_or(0) + }) +} + +fn build_raw_bit_length_proof_harness( + length_width: usize, + work_width: usize, + inverse: bool, + direct_baseline: bool, + with_comparators: bool, +) -> RawBitLengthProofHarness { + assert!(length_width > 0); + assert!(work_width <= (1usize << length_width) - 1); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.raw-loan-proof.control"); + let l_s = circ.alloc_qreg_bits("rs.raw-loan-proof.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.raw-loan-proof.l-r-prime", length_width); + let work2 = circ.alloc_qreg_bits("rs.raw-loan-proof.work2", work_width); + let output = circ.alloc_qreg_bits("rs.raw-loan-proof.output", length_width); + let comparator_before = circ.alloc_qreg("rs.raw-loan-proof.comparator-before"); + let comparator_after = circ.alloc_qreg("rs.raw-loan-proof.comparator-after"); + let chain = circ.alloc_qreg_bits("rs.raw-loan-proof.chain", 2); + let add_only = circ.alloc_qreg("rs.raw-loan-proof.add-only"); + + let data_ids: Vec = std::iter::once(&control) + .chain(&l_s) + .chain(&l_r_prime) + .chain(&work2) + .chain(&output) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&control) + .chain(&l_s) + .chain(&l_r_prime) + .chain(&work2) + .chain(&output) + .chain(std::iter::once(&comparator_before)) + .chain(std::iter::once(&comparator_after)) + .chain(&chain) + .chain(std::iter::once(&add_only)), + ); + let output_mask = qreg_mask(&output); + let preserved_mask = qreg_mask( + std::iter::once(&control) + .chain(&l_s) + .chain(&l_r_prime) + .chain(&work2), + ); + let chain_mask = qreg_mask(&chain); + let add_only_mask = 1u64 << add_only.id(); + let borrowed_mask = chain_mask | add_only_mask; + let compare_scratch = vec![&chain[0], &chain[1], &add_only]; + let (first_target, second_target) = if inverse { + (&comparator_after, &comparator_before) + } else { + (&comparator_before, &comparator_after) + }; + + begin_raw_bit_length_allocation_trace(); + begin_dynamic_bit_length_zero_allocation_trace(); + if with_comparators { + toggle_coefficient_length_above_boundary( + &mut circ, + &output, + &l_r_prime, + &l_s, + first_target, + &compare_scratch, + ); + } + let after_first_comparator = circ.total_ops() as usize; + circ.cx(&control, &add_only); + let raw_start = circ.total_ops() as usize; + if direct_baseline { + controlled_xor_raw_t_prime_bit_length_allocated( + &mut circ, &add_only, &l_s, &l_r_prime, &work2, &output, + ); + } else { + controlled_xor_raw_t_prime_bit_length( + &mut circ, &add_only, &l_s, &l_r_prime, &work2, &output, &chain, + ); + } + let raw_end = circ.total_ops() as usize; + circ.cx(&control, &add_only); + let before_second_comparator = circ.total_ops() as usize; + if with_comparators { + toggle_coefficient_length_above_boundary( + &mut circ, + &output, + &l_r_prime, + &l_s, + second_target, + &compare_scratch, + ); + } + let zero_trace = finish_dynamic_bit_length_zero_allocation_trace(); + let raw_trace = finish_raw_bit_length_allocation_trace(); + drop(compare_scratch); + + RawBitLengthProofHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask: 1u64 << control.id(), + output_mask, + preserved_mask, + chain_mask, + add_only_mask, + borrowed_mask, + after_first_comparator, + raw_start, + raw_end, + before_second_comparator, + raw_trace, + zero_trace, + } +} + +fn raw_bit_length_input(harness: &RawBitLengthProofHarness, value: u64) -> u64 { + harness + .data_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +fn assert_raw_bit_length_harness_clean( + harness: &RawBitLengthProofHarness, + state: u64, + context: &str, +) { + assert_eq!( + state & harness.borrowed_mask, + 0, + "{context}: borrowed coefficient lanes were not restored" + ); + assert_eq!( + state & !harness.external_mask, + 0, + "{context}: raw bit-length helper left an internal lane dirty" + ); +} + +fn verify_raw_bit_length_simulator_equivalence( + baseline: &RawBitLengthProofHarness, + loan: &RawBitLengthProofHarness, +) -> (usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.data_ids, loan.data_ids); + assert_eq!(baseline.external_mask, loan.external_mask); + let states = 1usize << baseline.data_ids.len(); + let mut cases_checked = 0usize; + let mut phase_clean_checks = 0usize; + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"coefficient-raw-bitlen-loan-baseline"); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + let mut loan_seed = Shake128::default(); + loan_seed.update(b"coefficient-raw-bitlen-loan-baseline"); + loan_seed.update(&(batch_start as u64).to_le_bytes()); + let mut loan_xof = loan_seed.finalize_xof(); + let mut loan_simulator = Simulator::new( + loan.builder.next_qubit as usize, + loan.builder.next_bit as usize, + &mut loan_xof, + ); + + for shot in 0..shots { + let value = (batch_start + shot) as u64; + for (bit, (&baseline_id, &loan_id)) in + baseline.data_ids.iter().zip(&loan.data_ids).enumerate() + { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *loan_simulator.qubit_mut(QubitId(u64::from(loan_id))) |= 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + loan_simulator.apply_iter(loan.builder.ops.iter()); + assert_eq!(baseline_simulator.phase & live, 0); + assert_eq!(loan_simulator.phase & live, 0); + phase_clean_checks += 2 * shots; + + for id in 0..baseline.builder.next_qubit { + let value = baseline_simulator.qubit(QubitId(u64::from(id))) & live; + if baseline.external_mask & (1u64 << id) != 0 { + assert_eq!(value, loan_simulator.qubit(QubitId(u64::from(id))) & live); + } else { + assert_eq!(value, 0, "baseline simulator left q{id} dirty"); + } + } + for id in 0..loan.builder.next_qubit { + if loan.external_mask & (1u64 << id) == 0 { + assert_eq!( + loan_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "loan simulator left q{id} dirty" + ); + } + } + cases_checked += shots; + } + (cases_checked, phase_clean_checks) +} + +fn verify_raw_bit_length_loan_boundaries(harness: &RawBitLengthProofHarness, input: u64) -> usize { + let after_first = apply_scalar( + &harness.builder.ops[..harness.after_first_comparator], + input, + ); + assert_eq!(after_first & harness.borrowed_mask, 0); + + let at_raw_start = apply_scalar(&harness.builder.ops[..harness.raw_start], input); + assert_eq!(at_raw_start & harness.chain_mask, 0); + assert_eq!( + at_raw_start & harness.add_only_mask, + if input & harness.control_mask == 0 { + 0 + } else { + harness.add_only_mask + } + ); + + let at_raw_end = apply_scalar(&harness.builder.ops[..harness.raw_end], input); + assert_eq!(at_raw_end & harness.chain_mask, 0); + assert_eq!( + at_raw_end & harness.add_only_mask, + at_raw_start & harness.add_only_mask + ); + assert_eq!(at_raw_end & !harness.external_mask, 0); + + let before_second = apply_scalar( + &harness.builder.ops[..harness.before_second_comparator], + input, + ); + assert_eq!(before_second & harness.borrowed_mask, 0); + 4 +} + +fn raw_bit_length_local_resources( + harness: &RawBitLengthProofHarness, +) -> CoefficientRawBitLengthLoanLocalResources { + let counts = measurement_classical_gate_counts(&harness.builder.ops); + let active_qubits = harness.builder.active_qubits as usize; + let peak_qubits = harness.builder.peak_qubits as usize; + CoefficientRawBitLengthLoanLocalResources { + active_qubits, + peak_qubits, + temporary_qubits: peak_qubits - active_qubits, + emitted_ops: harness.builder.ops.len(), + emitted_toffoli: counts.ccx, + } +} + +fn assert_raw_bit_length_default_stream( + default: &RawBitLengthProofHarness, + direct: &RawBitLengthProofHarness, +) { + assert_eq!(default.builder.ops, direct.builder.ops); + assert_eq!(default.builder.next_qubit, direct.builder.next_qubit); + assert_eq!(default.builder.next_bit, direct.builder.next_bit); + assert_eq!(default.builder.active_qubits, direct.builder.active_qubits); + assert_eq!(default.builder.peak_qubits, direct.builder.peak_qubits); + assert_eq!(default.builder.free_qubits, direct.builder.free_qubits); + assert_eq!( + default.builder.allocation_serial, + direct.builder.allocation_serial + ); +} + +fn build_no_overflow_cuccaro(width: usize, subtract: bool) -> B { + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("rs.raw-loan-proof.no-overflow-a", width); + let b = circ.alloc_qreg_bits("rs.raw-loan-proof.no-overflow-b", width); + let carry = circ.alloc_qreg("rs.raw-loan-proof.no-overflow-carry"); + if subtract { + cuccaro_sub_mod_2n_no_overflow(&mut circ, &a, &b, &carry); + } else { + cuccaro_add_mod_2n_no_overflow(&mut circ, &a, &b, &carry); + } + circ.into_builder() +} + +fn exhaustive_no_overflow_cuccaro_check() -> (usize, usize, usize) { + let mut basis_states_checked = 0usize; + let mut inverse_pair_checks = 0usize; + for width in 1..=4 { + let add = build_no_overflow_cuccaro(width, false); + let sub = build_no_overflow_cuccaro(width, true); + let mask = (1u64 << width) - 1; + for a in 0..=mask { + for b in 0..=mask { + let input = a | (b << width); + let added = apply_scalar(&add.ops, input); + let subtracted = apply_scalar(&sub.ops, input); + assert_eq!(added, a | (((a + b) & mask) << width)); + assert_eq!(subtracted, a | ((b.wrapping_sub(a) & mask) << width)); + assert_eq!(apply_scalar(&sub.ops, added), input); + assert_eq!(apply_scalar(&add.ops, subtracted), input); + basis_states_checked += 1; + inverse_pair_checks += 2; + } + } + } + (4, basis_states_checked, inverse_pair_checks) +} + +fn coefficient_raw_bitlen_loan_precondition_rejections() -> usize { + use std::panic::{catch_unwind, AssertUnwindSafe}; + + let previous_hook = std::panic::take_hook(); + std::panic::set_hook(Box::new(|_| {})); + let short_chain = catch_unwind(AssertUnwindSafe(|| { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.raw-loan-reject.control"); + let l_s = circ.alloc_qreg_bits("rs.raw-loan-reject.l-s", 2); + let l_r = circ.alloc_qreg_bits("rs.raw-loan-reject.l-r", 2); + let work = circ.alloc_qreg_bits("rs.raw-loan-reject.work", 2); + let output = circ.alloc_qreg_bits("rs.raw-loan-reject.output", 2); + let chain = circ.alloc_qreg_bits("rs.raw-loan-reject.chain", 1); + controlled_xor_raw_t_prime_bit_length_loaned( + &mut circ, &control, &l_s, &l_r, &work, &output, &chain, + ); + })); + let aliased_chain = catch_unwind(AssertUnwindSafe(|| { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.raw-loan-reject.control"); + let l_s = circ.alloc_qreg_bits("rs.raw-loan-reject.l-s", 2); + let l_r = circ.alloc_qreg_bits("rs.raw-loan-reject.l-r", 2); + let work = circ.alloc_qreg_bits("rs.raw-loan-reject.work", 2); + let output = circ.alloc_qreg_bits("rs.raw-loan-reject.output", 2); + controlled_xor_raw_t_prime_bit_length_loaned( + &mut circ, &control, &l_s, &l_r, &work, &output, &work, + ); + })); + std::panic::set_hook(previous_hook); + assert!(short_chain.is_err()); + assert!(aliased_chain.is_err()); + 2 +} + +/// Exhaustively verify the coefficient raw-bitlength loan at reduced widths. +/// The harness places the borrowed comparator on both sides of the raw call, +/// checks the live `add_only` boundary, and separately proves the no-overflow +/// Cuccaro pair used by the outer rotation. +#[doc(hidden)] +pub fn exhaustive_coefficient_raw_bitlength_loan_check() -> CoefficientRawBitLengthLoanProofReport { + assert!( + std::env::var_os(COEFFICIENT_RAW_BITLEN_LOAN_FLAG).is_none(), + "the coefficient raw bit-length loan must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + let configurations = [(1usize, 1usize), (2, 1), (2, 2), (2, 3)]; + let modes = [RawBitLengthZeroMode::Legacy, RawBitLengthZeroMode::Fused]; + + let mut basis_states_checked = 0usize; + let mut baseline_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut add_only_one_checks = 0usize; + let mut comparator_boundary_checks = 0usize; + let mut borrowed_lane_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut legacy_baseline_trace = None; + let mut legacy_loan_trace = None; + let mut fused_loan_zero_trace = None; + let mut baseline_raw_trace = None; + let mut loan_raw_trace = None; + + for mode in modes { + for &(length_width, work_width) in &configurations { + configure_raw_bit_length_loan_proof(mode, false); + let baseline_forward = + build_raw_bit_length_proof_harness(length_width, work_width, false, false, true); + let baseline_inverse = + build_raw_bit_length_proof_harness(length_width, work_width, true, false, true); + configure_raw_bit_length_loan_proof(mode, true); + let loan_forward = + build_raw_bit_length_proof_harness(length_width, work_width, false, false, true); + let loan_inverse = + build_raw_bit_length_proof_harness(length_width, work_width, true, false, true); + + for harness in [&loan_forward, &loan_inverse] { + assert_eq!(harness.raw_trace.raw_rotation_carry_allocations, 1); + assert_eq!(harness.raw_trace.raw_rotation_overflow_allocations, 0); + assert_eq!(harness.raw_trace.rotated_carry_allocations, 0); + assert_eq!(harness.raw_trace.rotated_overflow_allocations, 0); + assert_eq!(harness.raw_trace.rotated_enabled_allocations, 0); + if mode == RawBitLengthZeroMode::Fused { + assert_eq!( + harness.zero_trace, + DynamicBitLengthZeroAllocationTrace::default() + ); + } + } + for harness in [&baseline_forward, &baseline_inverse] { + assert_eq!(harness.raw_trace.raw_rotation_carry_allocations, 1); + assert_eq!(harness.raw_trace.raw_rotation_overflow_allocations, 1); + assert_eq!(harness.raw_trace.rotated_carry_allocations, 1); + assert_eq!(harness.raw_trace.rotated_overflow_allocations, 1); + assert_eq!(harness.raw_trace.rotated_enabled_allocations, 1); + } + assert_eq!( + measurement_classical_gate_counts(&loan_forward.builder.ops).ccx, + measurement_classical_gate_counts(&baseline_forward.builder.ops).ccx + ); + assert_eq!( + measurement_classical_gate_counts(&loan_inverse.builder.ops).ccx, + measurement_classical_gate_counts(&baseline_inverse.builder.ops).ccx + ); + for (baseline, loan) in [ + (&baseline_forward, &loan_forward), + (&baseline_inverse, &loan_inverse), + ] { + let (cases, phase_checks) = + verify_raw_bit_length_simulator_equivalence(baseline, loan); + simulator_equivalence_checks += cases; + phase_clean_checks += phase_checks; + } + + if (length_width, work_width) == (2, 3) { + match mode { + RawBitLengthZeroMode::Legacy => { + legacy_baseline_trace = Some(baseline_forward.zero_trace); + legacy_loan_trace = Some(loan_forward.zero_trace); + } + RawBitLengthZeroMode::Fused => { + fused_loan_zero_trace = Some(loan_forward.zero_trace); + baseline_raw_trace = Some(baseline_forward.raw_trace); + loan_raw_trace = Some(loan_forward.raw_trace); + } + } + } + + assert_eq!(baseline_forward.data_ids, loan_forward.data_ids); + assert_eq!(baseline_inverse.data_ids, loan_inverse.data_ids); + let data_states = 1u64 << baseline_forward.data_ids.len(); + for value in 0..data_states { + let input = raw_bit_length_input(&baseline_forward, value); + let baseline_output = apply_scalar(&baseline_forward.builder.ops, input); + let loan_output = apply_scalar(&loan_forward.builder.ops, input); + assert_eq!(loan_output, baseline_output); + assert_raw_bit_length_harness_clean( + &baseline_forward, + baseline_output, + "baseline forward", + ); + assert_raw_bit_length_harness_clean(&loan_forward, loan_output, "loan forward"); + + let baseline_inverse_output = apply_scalar(&baseline_inverse.builder.ops, input); + let loan_inverse_output = apply_scalar(&loan_inverse.builder.ops, input); + assert_eq!(loan_inverse_output, baseline_inverse_output); + assert_raw_bit_length_harness_clean( + &baseline_inverse, + baseline_inverse_output, + "baseline inverse", + ); + assert_raw_bit_length_harness_clean( + &loan_inverse, + loan_inverse_output, + "loan inverse", + ); + + assert_eq!( + apply_scalar(&baseline_inverse.builder.ops, baseline_output), + input + ); + assert_eq!(apply_scalar(&loan_inverse.builder.ops, loan_output), input); + assert_eq!( + loan_output & loan_forward.preserved_mask, + input & loan_forward.preserved_mask + ); + if input & loan_forward.control_mask == 0 { + assert_eq!( + loan_output & loan_forward.output_mask, + input & loan_forward.output_mask + ); + control_off_checks += 2; + } else { + add_only_one_checks += 2; + } + + comparator_boundary_checks += + verify_raw_bit_length_loan_boundaries(&loan_forward, input); + comparator_boundary_checks += + verify_raw_bit_length_loan_boundaries(&loan_inverse, input); + borrowed_lane_clean_checks += 4; + ancilla_clean_checks += 4; + basis_states_checked += 2; + baseline_equivalence_checks += 2; + inverse_pair_checks += 2; + } + } + } + + configure_raw_bit_length_loan_proof(RawBitLengthZeroMode::Fused, false); + let default_forward = build_raw_bit_length_proof_harness(2, 3, false, false, true); + let direct_forward = build_raw_bit_length_proof_harness(2, 3, false, true, true); + assert_raw_bit_length_default_stream(&default_forward, &direct_forward); + let default_inverse = build_raw_bit_length_proof_harness(2, 3, true, false, true); + let direct_inverse = build_raw_bit_length_proof_harness(2, 3, true, true, true); + assert_raw_bit_length_default_stream(&default_inverse, &direct_inverse); + + configure_raw_bit_length_loan_proof(RawBitLengthZeroMode::Fused, false); + let baseline_local = raw_bit_length_local_resources(&build_raw_bit_length_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + false, + false, + false, + )); + configure_raw_bit_length_loan_proof(RawBitLengthZeroMode::Fused, true); + let loan_local = raw_bit_length_local_resources(&build_raw_bit_length_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + false, + false, + false, + )); + assert_eq!(loan_local.active_qubits, baseline_local.active_qubits); + assert_eq!(loan_local.emitted_toffoli, baseline_local.emitted_toffoli); + assert!(loan_local.peak_qubits < baseline_local.peak_qubits); + + let legacy_baseline_trace = legacy_baseline_trace.expect("legacy baseline trace"); + let legacy_loan_trace = legacy_loan_trace.expect("legacy loan trace"); + assert_eq!(legacy_baseline_trace.flag_allocations, 2); + assert_eq!(legacy_loan_trace.flag_allocations, 2); + assert_eq!(legacy_baseline_trace.carry_allocations, 4); + assert_eq!(legacy_loan_trace.carry_allocations, 2); + assert!(legacy_baseline_trace.prefix_allocations > 0); + assert_eq!( + legacy_loan_trace.prefix_allocations, + legacy_baseline_trace.prefix_allocations + ); + let fused_loan_zero_trace = fused_loan_zero_trace.expect("fused loan trace"); + assert_eq!( + fused_loan_zero_trace, + DynamicBitLengthZeroAllocationTrace::default() + ); + let baseline_raw_trace = baseline_raw_trace.expect("baseline raw trace"); + let loan_raw_trace = loan_raw_trace.expect("loan raw trace"); + let (no_overflow_widths, no_overflow_states, no_overflow_inverse_pairs) = + exhaustive_no_overflow_cuccaro_check(); + let precondition_rejections = coefficient_raw_bitlen_loan_precondition_rejections(); + + CoefficientRawBitLengthLoanProofReport { + configurations_checked: configurations.len(), + zero_modes_checked: modes.len(), + directions_checked: 2, + basis_states_checked, + baseline_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + control_off_checks, + add_only_one_checks, + comparator_boundary_checks, + borrowed_lane_clean_checks, + ancilla_clean_checks, + no_overflow_widths_checked: no_overflow_widths, + no_overflow_basis_states_checked: no_overflow_states, + no_overflow_inverse_pair_checks: no_overflow_inverse_pairs, + default_stream_identity_checks: 2, + precondition_rejections, + legacy_baseline_zero_carry_allocations: legacy_baseline_trace.carry_allocations, + legacy_loan_zero_carry_allocations: legacy_loan_trace.carry_allocations, + fused_loan_zero_flag_allocations: fused_loan_zero_trace.flag_allocations, + fused_loan_zero_carry_allocations: fused_loan_zero_trace.carry_allocations, + fused_loan_zero_prefix_allocations: fused_loan_zero_trace.prefix_allocations, + baseline_raw_rotation_carry_allocations: baseline_raw_trace.raw_rotation_carry_allocations, + baseline_raw_rotation_overflow_allocations: baseline_raw_trace + .raw_rotation_overflow_allocations, + baseline_rotated_carry_allocations: baseline_raw_trace.rotated_carry_allocations, + baseline_rotated_overflow_allocations: baseline_raw_trace.rotated_overflow_allocations, + baseline_rotated_enabled_allocations: baseline_raw_trace.rotated_enabled_allocations, + loan_raw_rotation_carry_allocations: loan_raw_trace.raw_rotation_carry_allocations, + loan_raw_rotation_overflow_allocations: loan_raw_trace.raw_rotation_overflow_allocations, + loan_rotated_carry_allocations: loan_raw_trace.rotated_carry_allocations, + loan_rotated_overflow_allocations: loan_raw_trace.rotated_overflow_allocations, + loan_rotated_enabled_allocations: loan_raw_trace.rotated_enabled_allocations, + baseline_local, + loan_local, + local_qubit_delta: loan_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_toffoli_delta: loan_local.emitted_toffoli as i64 + - baseline_local.emitted_toffoli as i64, + } +} + +struct InplaceRotatedBoundaryHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + control_mask: u64, + output_mask: u64, + preserved_mask: u64, + scratch_mask: u64, + raw_trace: RawBitLengthAllocationTrace, +} + +fn build_inplace_rotated_boundary_harness( + length_width: usize, + source_width: usize, + scratch_lanes: usize, + route: SaturatingDifferenceBoundaryRoute, +) -> InplaceRotatedBoundaryHarness { + assert!(length_width > 0); + assert!(source_width <= (1usize << length_width) - 1); + assert!(scratch_lanes == 0 || scratch_lanes >= 3); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.inplace-boundary-proof.control"); + let boundary = circ.alloc_qreg_bits("rs.inplace-boundary-proof.boundary", length_width); + let source = circ.alloc_qreg_bits("rs.inplace-boundary-proof.source", source_width); + let output = circ.alloc_qreg_bits("rs.inplace-boundary-proof.output", length_width); + let scratch = circ.alloc_qreg_bits("rs.inplace-boundary-proof.scratch", scratch_lanes); + let source_refs: Vec<&QReg> = source.iter().collect(); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + let data_ids: Vec = std::iter::once(&control) + .chain(&boundary) + .chain(&source) + .chain(&output) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&control) + .chain(&boundary) + .chain(&source) + .chain(&output) + .chain(&scratch), + ); + let preserved_mask = qreg_mask(std::iter::once(&control).chain(&boundary).chain(&source)); + let output_mask = qreg_mask(&output); + let scratch_mask = qreg_mask(&scratch); + + begin_raw_bit_length_allocation_trace(); + controlled_xor_saturating_bit_length_difference_with_route( + &mut circ, + &control, + &boundary, + &source_refs, + &output, + &scratch_refs, + None, + route, + ); + let raw_trace = finish_raw_bit_length_allocation_trace(); + InplaceRotatedBoundaryHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask: 1u64 << control.id(), + output_mask, + preserved_mask, + scratch_mask, + raw_trace, + } +} + +fn inplace_rotated_boundary_input(harness: &InplaceRotatedBoundaryHarness, value: u64) -> u64 { + harness + .data_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +fn assert_inplace_rotated_boundary_clean( + harness: &InplaceRotatedBoundaryHarness, + state: u64, + context: &str, +) { + assert_eq!( + state & harness.scratch_mask, + 0, + "{context}: borrowed scratch dirty" + ); + assert_eq!( + state & !harness.external_mask, + 0, + "{context}: internal scratch dirty" + ); +} + +fn assert_inplace_rotated_boundary_stream_identity( + left: &InplaceRotatedBoundaryHarness, + right: &InplaceRotatedBoundaryHarness, +) { + assert_eq!(left.builder.ops, right.builder.ops); + assert_eq!(left.builder.next_qubit, right.builder.next_qubit); + assert_eq!(left.builder.next_bit, right.builder.next_bit); + assert_eq!(left.builder.active_qubits, right.builder.active_qubits); + assert_eq!(left.builder.peak_qubits, right.builder.peak_qubits); + assert_eq!(left.builder.free_qubits, right.builder.free_qubits); + assert_eq!( + left.builder.allocation_serial, + right.builder.allocation_serial + ); +} + +fn verify_inplace_rotated_boundary_simulator_equivalence( + baseline: &InplaceRotatedBoundaryHarness, + candidate: &InplaceRotatedBoundaryHarness, +) -> (usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let states = 1usize << baseline.data_ids.len(); + let mut cases_checked = 0usize; + let mut phase_clean_checks = 0usize; + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"inplace-rotated-boundary-proof"); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_seed = Shake128::default(); + candidate_seed.update(b"inplace-rotated-boundary-proof"); + candidate_seed.update(&(batch_start as u64).to_le_bytes()); + let mut candidate_xof = candidate_seed.finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.builder.next_qubit as usize, + candidate.builder.next_bit as usize, + &mut candidate_xof, + ); + + for shot in 0..shots { + let value = (batch_start + shot) as u64; + for (bit, (&baseline_id, &candidate_id)) in baseline + .data_ids + .iter() + .zip(&candidate.data_ids) + .enumerate() + { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *candidate_simulator.qubit_mut(QubitId(u64::from(candidate_id))) |= + 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + candidate_simulator.apply_iter(candidate.builder.ops.iter()); + assert_eq!(baseline_simulator.phase & live, 0); + assert_eq!(candidate_simulator.phase & live, 0); + phase_clean_checks += 2 * shots; + + for id in 0..baseline.builder.next_qubit { + let baseline_value = baseline_simulator.qubit(QubitId(u64::from(id))) & live; + if baseline.external_mask & (1u64 << id) != 0 { + assert_eq!( + baseline_value, + candidate_simulator.qubit(QubitId(u64::from(id))) & live + ); + } else { + assert_eq!(baseline_value, 0, "baseline simulator left q{id} dirty"); + } + } + for id in 0..candidate.builder.next_qubit { + if candidate.external_mask & (1u64 << id) == 0 { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "candidate simulator left q{id} dirty" + ); + } + } + cases_checked += shots; + } + (cases_checked, phase_clean_checks) +} + +fn inplace_rotated_boundary_local_resources( + harness: &InplaceRotatedBoundaryHarness, +) -> InplaceRotatedBoundaryLocalResources { + let counts = measurement_classical_gate_counts(&harness.builder.ops); + let active_qubits = harness.builder.active_qubits as usize; + let peak_qubits = harness.builder.peak_qubits as usize; + InplaceRotatedBoundaryLocalResources { + active_qubits, + peak_qubits, + temporary_qubits: peak_qubits - active_qubits, + emitted_ops: harness.builder.ops.len(), + emitted_toffoli: counts.ccx, + } +} + +fn configure_inplace_rotated_boundary_proof(mode: RawBitLengthZeroMode) { + configure_raw_bit_length_loan_proof(mode, false); + std::env::remove_var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG); + std::env::remove_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG); + std::env::remove_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_ULS_FUSED_TARGET_FLAG); + std::env::remove_var(SUB800_ULS_DIRECT_SELECTOR_FLAG); +} + +fn bit_length_usize(value: usize) -> usize { + if value == 0 { + 0 + } else { + usize::BITS as usize - value.leading_zeros() as usize + } +} + +fn build_signed_boundary_arithmetic_kernel(width: usize, inplace: bool, inverse: bool) -> B { + let mut circ = Circuit::new(); + if inplace { + let boundary = circ.alloc_qreg_bits("rs.inplace-arithmetic.boundary", width); + let length = circ.alloc_qreg_bits("rs.inplace-arithmetic.length", width + 1); + let carry = circ.alloc_qreg("rs.inplace-arithmetic.carry"); + let (low_length, sign_lane) = length.split_at(width); + if inverse { + cuccaro_add_mod_2n(&mut circ, &boundary, low_length, &carry, &sign_lane[0]); + } else { + cuccaro_sub_mod_2n(&mut circ, &boundary, low_length, &carry, &sign_lane[0]); + } + circ.into_builder() + } else { + let boundary = circ.alloc_qreg_bits("rs.materialized-arithmetic.boundary", width + 1); + let length = circ.alloc_qreg_bits("rs.materialized-arithmetic.length", width + 1); + let carry = circ.alloc_qreg("rs.materialized-arithmetic.carry"); + let overflow = circ.alloc_qreg("rs.materialized-arithmetic.overflow"); + if inverse { + cuccaro_add_mod_2n(&mut circ, &boundary, &length, &carry, &overflow); + } else { + cuccaro_sub_mod_2n(&mut circ, &boundary, &length, &carry, &overflow); + } + circ.into_builder() + } +} + +fn exhaustive_inplace_signed_boundary_arithmetic_check() -> (usize, usize, usize) { + let mut states_checked = 0usize; + let mut inverse_pair_checks = 0usize; + for width in 1..=4 { + let materialized_sub = build_signed_boundary_arithmetic_kernel(width, false, false); + let materialized_add = build_signed_boundary_arithmetic_kernel(width, false, true); + let inplace_sub = build_signed_boundary_arithmetic_kernel(width, true, false); + let inplace_add = build_signed_boundary_arithmetic_kernel(width, true, true); + let value_mask = (1u64 << width) - 1; + let signed_mask = (1u64 << (width + 1)) - 1; + for boundary in 0..=value_mask { + for length in 0..=value_mask { + let materialized_input = boundary | (length << (width + 1)); + let inplace_input = boundary | (length << width); + let materialized_output = apply_scalar(&materialized_sub.ops, materialized_input); + let inplace_output = apply_scalar(&inplace_sub.ops, inplace_input); + let materialized_length = (materialized_output >> (width + 1)) & signed_mask; + let inplace_length = (inplace_output >> width) & signed_mask; + assert_eq!( + inplace_length, materialized_length, + "signed-boundary mismatch width={width} boundary={boundary} length={length}" + ); + let materialized_added = apply_scalar(&materialized_add.ops, materialized_input); + let inplace_added = apply_scalar(&inplace_add.ops, inplace_input); + let materialized_added_length = (materialized_added >> (width + 1)) & signed_mask; + let inplace_added_length = (inplace_added >> width) & signed_mask; + assert_eq!(inplace_added_length, materialized_added_length); + assert_eq!( + apply_scalar(&materialized_sub.ops, materialized_added), + materialized_input, + "materialized inverse mismatch width={width} boundary={boundary} length={length}" + ); + assert_eq!( + apply_scalar(&inplace_sub.ops, inplace_added), + inplace_input, + "in-place inverse mismatch width={width} boundary={boundary} length={length}" + ); + states_checked += 1; + inverse_pair_checks += 2; + } + } + } + (4, states_checked, inverse_pair_checks) +} + +/// Prove the allocation-free signed-boundary arithmetic against the previous +/// materialized-boundary helper, including every underflow case at reduced +/// widths and both production bit-length-zero implementations. +#[doc(hidden)] +pub fn exhaustive_inplace_rotated_bitlen_boundary_check() -> InplaceRotatedBoundaryProofReport { + assert!( + std::env::var_os(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG).is_none(), + "the in-place rotated boundary route must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + let configurations = [(1usize, 1usize), (2, 1), (2, 3), (3, 4)]; + let modes = [RawBitLengthZeroMode::Legacy, RawBitLengthZeroMode::Fused]; + let scratch_modes = [0usize, 3usize]; + + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut saturation_underflow_checks = 0usize; + let mut nonnegative_difference_checks = 0usize; + let mut preserved_input_checks = 0usize; + let mut borrowed_scratch_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for mode in modes { + configure_inplace_rotated_boundary_proof(mode); + for scratch_lanes in scratch_modes { + for &(length_width, source_width) in &configurations { + let baseline = build_inplace_rotated_boundary_harness( + length_width, + source_width, + scratch_lanes, + SaturatingDifferenceBoundaryRoute::Materialized, + ); + let candidate = build_inplace_rotated_boundary_harness( + length_width, + source_width, + scratch_lanes, + SaturatingDifferenceBoundaryRoute::Inplace, + ); + assert_eq!(baseline.data_ids, candidate.data_ids); + let (simulator_cases, simulator_phases) = + verify_inplace_rotated_boundary_simulator_equivalence(&baseline, &candidate); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += simulator_phases; + + let data_states = 1u64 << baseline.data_ids.len(); + let length_mask = (1u64 << length_width) - 1; + let source_mask = (1u64 << source_width) - 1; + for value in 0..data_states { + let input = inplace_rotated_boundary_input(&baseline, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_inplace_rotated_boundary_clean( + &baseline, + baseline_output, + "materialized boundary", + ); + assert_inplace_rotated_boundary_clean( + &candidate, + candidate_output, + "in-place boundary", + ); + assert_eq!( + candidate_output & candidate.preserved_mask, + input & candidate.preserved_mask + ); + assert_eq!(apply_scalar(&baseline.builder.ops, baseline_output), input); + assert_eq!( + apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + if input & candidate.control_mask == 0 { + assert_eq!( + candidate_output & candidate.output_mask, + input & candidate.output_mask + ); + control_off_checks += 1; + } + let boundary = (value >> 1) & length_mask; + let source = (value >> (1 + length_width)) & source_mask; + if bit_length_usize(source as usize) < boundary as usize { + saturation_underflow_checks += 1; + } else { + nonnegative_difference_checks += 1; + } + if scratch_lanes != 0 { + borrowed_scratch_clean_checks += 2; + } + ancilla_clean_checks += 2; + preserved_input_checks += 1; + inverse_pair_checks += 2; + scalar_equivalence_checks += 1; + basis_states_checked += 1; + } + } + } + } + + configure_inplace_rotated_boundary_proof(RawBitLengthZeroMode::Fused); + let mut default_stream_identity_checks = 0usize; + let mut configured_stream_selection_checks = 0usize; + for scratch_lanes in scratch_modes { + let configured_default = build_inplace_rotated_boundary_harness( + 2, + 3, + scratch_lanes, + SaturatingDifferenceBoundaryRoute::Configured, + ); + let direct_materialized = build_inplace_rotated_boundary_harness( + 2, + 3, + scratch_lanes, + SaturatingDifferenceBoundaryRoute::Materialized, + ); + assert_inplace_rotated_boundary_stream_identity(&configured_default, &direct_materialized); + default_stream_identity_checks += 1; + + std::env::set_var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG, "1"); + let configured_candidate = build_inplace_rotated_boundary_harness( + 2, + 3, + scratch_lanes, + SaturatingDifferenceBoundaryRoute::Configured, + ); + let direct_candidate = build_inplace_rotated_boundary_harness( + 2, + 3, + scratch_lanes, + SaturatingDifferenceBoundaryRoute::Inplace, + ); + assert_inplace_rotated_boundary_stream_identity(&configured_candidate, &direct_candidate); + configured_stream_selection_checks += 1; + std::env::remove_var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG); + } + + let baseline_local_harness = build_inplace_rotated_boundary_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Materialized, + ); + let candidate_local_harness = build_inplace_rotated_boundary_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + ); + let baseline_local = inplace_rotated_boundary_local_resources(&baseline_local_harness); + let candidate_local = inplace_rotated_boundary_local_resources(&candidate_local_harness); + assert_eq!(candidate_local.active_qubits, baseline_local.active_qubits); + assert_eq!(candidate_local.peak_qubits + 1, baseline_local.peak_qubits); + assert!(candidate_local.emitted_toffoli < baseline_local.emitted_toffoli); + assert_eq!( + baseline_local_harness + .raw_trace + .rotated_boundary_qubits_allocated, + REFERENCE_LENGTH_WIDTH + 1 + ); + assert_eq!( + candidate_local_harness + .raw_trace + .rotated_boundary_qubits_allocated, + 0 + ); + assert_eq!( + candidate_local_harness + .raw_trace + .rotated_inplace_boundary_uses, + 1 + ); + + let (arithmetic_widths, arithmetic_states, arithmetic_inverse_pairs) = + exhaustive_inplace_signed_boundary_arithmetic_check(); + InplaceRotatedBoundaryProofReport { + configurations_checked: configurations.len(), + zero_modes_checked: modes.len(), + scratch_modes_checked: scratch_modes.len(), + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + control_off_checks, + saturation_underflow_checks, + nonnegative_difference_checks, + preserved_input_checks, + borrowed_scratch_clean_checks, + ancilla_clean_checks, + arithmetic_widths_checked: arithmetic_widths, + arithmetic_basis_states_checked: arithmetic_states, + arithmetic_inverse_pair_checks: arithmetic_inverse_pairs, + default_stream_identity_checks, + configured_stream_selection_checks, + baseline_boundary_qubits_allocated: baseline_local_harness + .raw_trace + .rotated_boundary_qubits_allocated, + candidate_boundary_qubits_allocated: candidate_local_harness + .raw_trace + .rotated_boundary_qubits_allocated, + candidate_inplace_boundary_uses: candidate_local_harness + .raw_trace + .rotated_inplace_boundary_uses, + baseline_local, + candidate_local, + local_qubit_delta: candidate_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_toffoli_delta: candidate_local.emitted_toffoli as i64 + - baseline_local.emitted_toffoli as i64, + } +} + +fn configure_paired_bitlength_source_complement_proof( + prefix_scratch_loan: bool, + configured_inplace: bool, +) { + configure_raw_bit_length_loan_proof(RawBitLengthZeroMode::Fused, false); + if prefix_scratch_loan { + std::env::set_var(FUSED_PREFIX_SCRATCH_LOAN_FLAG, "1"); + } else { + std::env::remove_var(FUSED_PREFIX_SCRATCH_LOAN_FLAG); + } + if configured_inplace { + std::env::set_var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG, "1"); + } else { + std::env::remove_var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG); + } + std::env::remove_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG); + std::env::remove_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG); + std::env::remove_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG); + std::env::remove_var(SUB800_ULS_FUSED_TARGET_FLAG); + std::env::remove_var(SUB800_ULS_DIRECT_SELECTOR_FLAG); +} + +fn set_paired_bitlength_source_complement_proof_mode(enabled: Option) { + match enabled { + Some(true) => std::env::set_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, "1"), + Some(false) => std::env::set_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, "0"), + None => std::env::remove_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG), + } +} + +fn build_paired_bitlength_source_complement_harness( + output_width: usize, + source_width: usize, + scratch_lanes: usize, + route: SaturatingDifferenceBoundaryRoute, + mixed_boundary: bool, + enabled: Option, +) -> InplaceRotatedBoundaryHarness { + assert!(output_width > usize::from(mixed_boundary)); + assert!(source_width > 1); + assert!(source_width <= (1usize << output_width) - 1); + assert!(scratch_lanes == 0 || scratch_lanes >= 3); + set_paired_bitlength_source_complement_proof_mode(enabled); + + let boundary_width = output_width - usize::from(mixed_boundary); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.paired-bitlen-proof.control"); + let boundary = + circ.alloc_qreg_bits("rs.paired-bitlen-proof.boundary", boundary_width); + let source = circ.alloc_qreg_bits("rs.paired-bitlen-proof.source", source_width); + let output = circ.alloc_qreg_bits("rs.paired-bitlen-proof.output", output_width); + let scratch = circ.alloc_qreg_bits("rs.paired-bitlen-proof.scratch", scratch_lanes); + let source_refs: Vec<&QReg> = source.iter().collect(); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + let data_ids: Vec = std::iter::once(&control) + .chain(&boundary) + .chain(&source) + .chain(&output) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&control) + .chain(&boundary) + .chain(&source) + .chain(&output) + .chain(&scratch), + ); + let preserved_mask = qreg_mask(std::iter::once(&control).chain(&boundary).chain(&source)); + let output_mask = qreg_mask(&output); + let scratch_mask = qreg_mask(&scratch); + + begin_raw_bit_length_allocation_trace(); + controlled_xor_saturating_bit_length_difference_with_route( + &mut circ, + &control, + &boundary, + &source_refs, + &output, + &scratch_refs, + None, + route, + ); + let raw_trace = finish_raw_bit_length_allocation_trace(); + InplaceRotatedBoundaryHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask: 1u64 << control.id(), + output_mask, + preserved_mask, + scratch_mask, + raw_trace, + } +} + +fn paired_bitlength_source_complement_local_resources( + harness: &InplaceRotatedBoundaryHarness, +) -> PairedBitLengthSourceComplementLocalResources { + use crate::circuit::OperationType; + + let active_qubits = harness.builder.active_qubits as usize; + let peak_qubits = harness.builder.peak_qubits as usize; + PairedBitLengthSourceComplementLocalResources { + active_qubits, + peak_qubits, + temporary_qubits: peak_qubits - active_qubits, + emitted_ops: harness.builder.ops.len(), + emitted_x: harness.builder.counted_kind_ops[OperationType::X as usize], + emitted_toffoli: harness.builder.counted_kind_ops[OperationType::CCX as usize] + + harness.builder.counted_kind_ops[OperationType::CCZ as usize], + } +} + +/// Prove that the signed high lane can be replaced by a clean borrowed +/// underflow witness. The Cuccaro carry is restored after subtraction, so the +/// same lane can hold the enable predicate before the inverse addition. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_borrowed_rotated_underflow_check( +) -> BorrowedRotatedUnderflowProofReport { + assert!( + std::env::var_os(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG).is_none(), + "the borrowed rotated-underflow feature must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + + let mut configurations_checked = 0usize; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut saturation_underflow_checks = 0usize; + let mut nonnegative_difference_checks = 0usize; + let mut preserved_input_checks = 0usize; + let mut borrowed_scratch_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for output_width in [2usize, 3] { + let maximum_source_width = ((1usize << output_width) - 1).min(4); + for source_width in 2..=maximum_source_width { + for mixed_boundary in [false, true] { + let boundary_width = output_width - usize::from(mixed_boundary); + for paired_source in [false, true] { + std::env::remove_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG); + let baseline = build_paired_bitlength_source_complement_harness( + output_width, + source_width, + 3, + SaturatingDifferenceBoundaryRoute::Inplace, + mixed_boundary, + Some(paired_source), + ); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + let candidate = build_paired_bitlength_source_complement_harness( + output_width, + source_width, + 3, + SaturatingDifferenceBoundaryRoute::Inplace, + mixed_boundary, + Some(paired_source), + ); + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let (simulator_cases, simulator_phases) = + verify_inplace_rotated_boundary_simulator_equivalence( + &baseline, + &candidate, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += simulator_phases; + + let data_states = 1u64 << baseline.data_ids.len(); + let boundary_mask = (1u64 << boundary_width) - 1; + let source_mask = (1u64 << source_width) - 1; + for value in 0..data_states { + let input = inplace_rotated_boundary_input(&baseline, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!( + candidate_output, baseline_output, + "borrowed underflow mismatch output_width={output_width} \ + source_width={source_width} mixed={mixed_boundary} \ + paired={paired_source} value={value}" + ); + assert_inplace_rotated_boundary_clean( + &baseline, + baseline_output, + "owned signed lane", + ); + assert_inplace_rotated_boundary_clean( + &candidate, + candidate_output, + "borrowed underflow lane", + ); + assert_eq!( + baseline_output & baseline.preserved_mask, + input & baseline.preserved_mask + ); + assert_eq!( + candidate_output & candidate.preserved_mask, + input & candidate.preserved_mask + ); + assert_eq!( + apply_scalar(&baseline.builder.ops, baseline_output), + input + ); + assert_eq!( + apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + if input & candidate.control_mask == 0 { + assert_eq!( + candidate_output & candidate.output_mask, + input & candidate.output_mask + ); + control_off_checks += 1; + } + + let boundary = (value >> 1) & boundary_mask; + let source = + (value >> (1 + boundary_width)) & source_mask; + if bit_length_usize(source as usize) < boundary as usize { + saturation_underflow_checks += 1; + } else { + nonnegative_difference_checks += 1; + } + preserved_input_checks += 2; + borrowed_scratch_clean_checks += 2; + ancilla_clean_checks += 2; + inverse_pair_checks += 2; + scalar_equivalence_checks += 1; + basis_states_checked += 1; + } + configurations_checked += 1; + } + } + } + } + + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::remove_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG); + let same_boundary_baseline = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_baseline = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + let same_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + + let same_boundary_baseline = + inplace_rotated_boundary_local_resources(&same_boundary_baseline); + let same_boundary_candidate = + inplace_rotated_boundary_local_resources(&same_boundary_candidate); + let mixed_boundary_baseline = + inplace_rotated_boundary_local_resources(&mixed_boundary_baseline); + let mixed_boundary_candidate = + inplace_rotated_boundary_local_resources(&mixed_boundary_candidate); + assert_eq!( + same_boundary_candidate.peak_qubits + 1, + same_boundary_baseline.peak_qubits + ); + assert_eq!( + mixed_boundary_candidate.peak_qubits + 1, + mixed_boundary_baseline.peak_qubits + ); + assert!( + same_boundary_candidate.emitted_toffoli + <= same_boundary_baseline.emitted_toffoli + ); + assert!( + mixed_boundary_candidate.emitted_toffoli + <= mixed_boundary_baseline.emitted_toffoli + ); + + BorrowedRotatedUnderflowProofReport { + configurations_checked, + boundary_forms_checked: 2, + paired_source_modes_checked: 2, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + control_off_checks, + saturation_underflow_checks, + nonnegative_difference_checks, + preserved_input_checks, + borrowed_scratch_clean_checks, + ancilla_clean_checks, + same_boundary_baseline, + same_boundary_candidate, + mixed_boundary_baseline, + mixed_boundary_candidate, + } +} + +/// Prove the mixed-width identity +/// +/// `(256h+l)-b = 256(h XOR borrow)+(l-b mod 256)` +/// +/// together with saturation on `borrow AND NOT h`. The high bit `h` is +/// reconstructed from the top source lanes and held in restored scratch. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_split_mixed_rotated_length_check( +) -> SplitMixedRotatedLengthProofReport { + assert!( + std::env::var_os(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG).is_none(), + "the split mixed rotated-length feature must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + + let mut configurations_checked = 0usize; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut high_indicator_checks = 0usize; + let mut saturation_underflow_checks = 0usize; + let mut nonnegative_difference_checks = 0usize; + let mut preserved_input_checks = 0usize; + let mut borrowed_scratch_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for output_width in [2usize, 3] { + let maximum_source_width = ((1usize << output_width) - 1).min(4); + let boundary_width = output_width - 1; + for source_width in 2..=maximum_source_width { + for paired_source in [false, true] { + std::env::remove_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG); + let baseline = build_paired_bitlength_source_complement_harness( + output_width, + source_width, + 3, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(paired_source), + ); + std::env::set_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, "1"); + let candidate = build_paired_bitlength_source_complement_harness( + output_width, + source_width, + 3, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(paired_source), + ); + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let (simulator_cases, simulator_phases) = + verify_inplace_rotated_boundary_simulator_equivalence( + &baseline, + &candidate, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += simulator_phases; + + let data_states = 1u64 << baseline.data_ids.len(); + let boundary_mask = (1u64 << boundary_width) - 1; + let source_mask = (1u64 << source_width) - 1; + for value in 0..data_states { + let input = inplace_rotated_boundary_input(&baseline, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!( + candidate_output, baseline_output, + "split mixed length mismatch output_width={output_width} \ + source_width={source_width} paired={paired_source} value={value}" + ); + assert_inplace_rotated_boundary_clean( + &baseline, + baseline_output, + "nine-lane mixed length", + ); + assert_inplace_rotated_boundary_clean( + &candidate, + candidate_output, + "split mixed length", + ); + assert_eq!( + baseline_output & baseline.preserved_mask, + input & baseline.preserved_mask + ); + assert_eq!( + candidate_output & candidate.preserved_mask, + input & candidate.preserved_mask + ); + assert_eq!( + apply_scalar(&baseline.builder.ops, baseline_output), + input + ); + assert_eq!( + apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + if input & candidate.control_mask == 0 { + assert_eq!( + candidate_output & candidate.output_mask, + input & candidate.output_mask + ); + control_off_checks += 1; + } + + let boundary = (value >> 1) & boundary_mask; + let source = (value >> (1 + boundary_width)) & source_mask; + let bit_length = bit_length_usize(source as usize); + if bit_length >= (1usize << (output_width - 1)) { + high_indicator_checks += 1; + } + if bit_length < boundary as usize { + saturation_underflow_checks += 1; + } else { + nonnegative_difference_checks += 1; + } + preserved_input_checks += 2; + borrowed_scratch_clean_checks += 2; + ancilla_clean_checks += 2; + inverse_pair_checks += 2; + scalar_equivalence_checks += 1; + basis_states_checked += 1; + } + configurations_checked += 1; + } + } + } + + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + std::env::remove_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG); + let baseline_local = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + std::env::set_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, "1"); + let candidate_local = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + let baseline_local = inplace_rotated_boundary_local_resources(&baseline_local); + let candidate_local = inplace_rotated_boundary_local_resources(&candidate_local); + assert_eq!(candidate_local.peak_qubits + 1, baseline_local.peak_qubits); + + SplitMixedRotatedLengthProofReport { + configurations_checked, + paired_source_modes_checked: 2, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + control_off_checks, + high_indicator_checks, + saturation_underflow_checks, + nonnegative_difference_checks, + preserved_input_checks, + borrowed_scratch_clean_checks, + ancilla_clean_checks, + baseline_local, + candidate_local, + } +} + +/// Prove the full one-bit high-stage subtraction used when the boundary and +/// output have equal width. The low Cuccaro borrow `u`, source high bit `h`, +/// and boundary high bit `g` determine the final underflow through +/// `g XOR u XOR gu XOR hg XOR hu`. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_split_same_rotated_length_check( +) -> SplitSameRotatedLengthProofReport { + assert!( + std::env::var_os(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG).is_none(), + "the split same-width rotated-length feature must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + + let mut configurations_checked = 0usize; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut high_indicator_checks = 0usize; + let mut saturation_underflow_checks = 0usize; + let mut nonnegative_difference_checks = 0usize; + let mut preserved_input_checks = 0usize; + let mut borrowed_scratch_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for output_width in [2usize, 3] { + let maximum_source_width = ((1usize << output_width) - 1).min(4); + let boundary_width = output_width; + for source_width in 2..=maximum_source_width { + for paired_source in [false, true] { + std::env::remove_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG); + let baseline = build_paired_bitlength_source_complement_harness( + output_width, + source_width, + 3, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(paired_source), + ); + std::env::set_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, "1"); + let candidate = build_paired_bitlength_source_complement_harness( + output_width, + source_width, + 3, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(paired_source), + ); + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let (simulator_cases, simulator_phases) = + verify_inplace_rotated_boundary_simulator_equivalence( + &baseline, + &candidate, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += simulator_phases; + + let data_states = 1u64 << baseline.data_ids.len(); + let boundary_mask = (1u64 << boundary_width) - 1; + let source_mask = (1u64 << source_width) - 1; + for value in 0..data_states { + let input = inplace_rotated_boundary_input(&baseline, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!( + candidate_output, baseline_output, + "split same-width length mismatch output_width={output_width} \ + source_width={source_width} paired={paired_source} value={value}" + ); + assert_inplace_rotated_boundary_clean( + &baseline, + baseline_output, + "nine-lane same-width length", + ); + assert_inplace_rotated_boundary_clean( + &candidate, + candidate_output, + "split same-width length", + ); + assert_eq!( + baseline_output & baseline.preserved_mask, + input & baseline.preserved_mask + ); + assert_eq!( + candidate_output & candidate.preserved_mask, + input & candidate.preserved_mask + ); + assert_eq!( + apply_scalar(&baseline.builder.ops, baseline_output), + input + ); + assert_eq!( + apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + if input & candidate.control_mask == 0 { + assert_eq!( + candidate_output & candidate.output_mask, + input & candidate.output_mask + ); + control_off_checks += 1; + } + + let boundary = (value >> 1) & boundary_mask; + let source = (value >> (1 + boundary_width)) & source_mask; + let bit_length = bit_length_usize(source as usize); + if bit_length >= (1usize << (output_width - 1)) { + high_indicator_checks += 1; + } + if bit_length < boundary as usize { + saturation_underflow_checks += 1; + } else { + nonnegative_difference_checks += 1; + } + preserved_input_checks += 2; + borrowed_scratch_clean_checks += 2; + ancilla_clean_checks += 2; + inverse_pair_checks += 2; + scalar_equivalence_checks += 1; + basis_states_checked += 1; + } + configurations_checked += 1; + } + } + } + + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + std::env::remove_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG); + let baseline_local = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + std::env::set_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, "1"); + let candidate_local = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let baseline_local = inplace_rotated_boundary_local_resources(&baseline_local); + let candidate_local = inplace_rotated_boundary_local_resources(&candidate_local); + assert_eq!(candidate_local.peak_qubits + 1, baseline_local.peak_qubits); + + SplitSameRotatedLengthProofReport { + configurations_checked, + paired_source_modes_checked: 2, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + control_off_checks, + high_indicator_checks, + saturation_underflow_checks, + nonnegative_difference_checks, + preserved_input_checks, + borrowed_scratch_clean_checks, + ancilla_clean_checks, + baseline_local, + candidate_local, + } +} + +fn read_paired_bitlength_register(state: u64, ids: &[u32]) -> u64 { + ids.iter().enumerate().fold(0u64, |value, (bit, id)| { + value | (((state >> id) & 1) << bit) + }) +} + +struct SplitTwoHighStageHarness { + builder: B, + data_ids: Vec, + control_id: u32, + boundary_ids: Vec, + length_ids: Vec, + high7_id: u32, + high8_id: u32, + output_ids: Vec, + preserved_mask: u64, + output_mask: u64, + clean_scratch_mask: u64, +} + +fn build_split_two_high_stage_harness(mixed_boundary: bool) -> SplitTwoHighStageHarness { + const LOW_WIDTH: usize = 2; + const OUTPUT_WIDTH: usize = LOW_WIDTH + 2; + + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("sub800.two-high-proof.control"); + let boundary = circ.alloc_qreg_bits( + "sub800.two-high-proof.boundary", + OUTPUT_WIDTH - usize::from(mixed_boundary), + ); + let length = circ.alloc_qreg_bits("sub800.two-high-proof.length", LOW_WIDTH); + let output = circ.alloc_qreg_bits("sub800.two-high-proof.output", OUTPUT_WIDTH); + let scratch = circ.alloc_qreg_bits("sub800.two-high-proof.scratch", 7); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + if mixed_boundary { + controlled_xor_saturating_difference_inplace_mixed_boundary( + &mut circ, + &control, + &boundary, + &[], + &length, + &output, + &scratch_refs, + ); + } else { + controlled_xor_saturating_difference_inplace_boundary( + &mut circ, + &control, + &boundary, + &[], + &length, + &output, + &scratch_refs, + ); + } + drop(scratch_refs); + + let data_ids: Vec = std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(std::iter::once(&scratch[5])) + .chain(std::iter::once(&scratch[6])) + .chain(&output) + .map(QReg::id) + .collect(); + let preserved_mask = qreg_mask( + std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(std::iter::once(&scratch[5])) + .chain(std::iter::once(&scratch[6])), + ); + let output_mask = qreg_mask(&output); + let clean_scratch_mask = qreg_mask(&scratch[..5]); + SplitTwoHighStageHarness { + builder: circ.into_builder(), + data_ids, + control_id: control.id(), + boundary_ids: boundary.iter().map(QReg::id).collect(), + length_ids: length.iter().map(QReg::id).collect(), + high7_id: scratch[5].id(), + high8_id: scratch[6].id(), + output_ids: output.iter().map(QReg::id).collect(), + preserved_mask, + output_mask, + clean_scratch_mask, + } +} + +fn split_two_high_stage_input(harness: &SplitTwoHighStageHarness, value: u64) -> u64 { + harness + .data_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +fn full_subtraction_borrow_anf(x: usize, y: usize, borrow: usize) -> usize { + y ^ borrow ^ (y & borrow) ^ (x & y) ^ (x & borrow) +} + +struct SplitTwoHighIndicatorHarness { + builder: B, + source_ids: Vec, + high7_id: u32, + high8_id: u32, + clean_scratch_ids: Vec, +} + +fn build_split_two_high_indicator_harness( + source_is_complemented: bool, +) -> SplitTwoHighIndicatorHarness { + const SOURCE_WIDTH: usize = 259; + + let mut circ = Circuit::new(); + let source = circ.alloc_input_qreg_bits("sub800.two-high-indicator.source", SOURCE_WIDTH); + let scratch = circ.alloc_qreg_bits("sub800.two-high-indicator.scratch", 7); + let source_refs: Vec<&QReg> = source.iter().collect(); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + toggle_split_bit_length_two_high( + &mut circ, + &source_refs, + &scratch[5], + &scratch[6], + &scratch_refs, + source_is_complemented, + ); + drop(source_refs); + drop(scratch_refs); + + SplitTwoHighIndicatorHarness { + builder: circ.into_builder(), + source_ids: source.iter().map(QReg::id).collect(), + high7_id: scratch[5].id(), + high8_id: scratch[6].id(), + clean_scratch_ids: scratch[..5].iter().map(QReg::id).collect(), + } +} + +fn verify_split_two_high_indicator_harness( + harness: &SplitTwoHighIndicatorHarness, + source_is_complemented: bool, +) -> (usize, usize, usize, usize) { + use crate::circuit::OperationType; + + assert!(harness.builder.ops.iter().all(|operation| matches!( + operation.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ))); + let total_qubits = harness.builder.next_qubit as usize; + let mut basis_states = 0usize; + let mut inverse_checks = 0usize; + let mut source_restore_checks = 0usize; + let mut scratch_clean_checks = 0usize; + for bit_length in 0usize..=259 { + for initial_highs in 0usize..4 { + let mut input = vec![false; total_qubits]; + for (bit, id) in harness.source_ids.iter().copied().enumerate() { + let logical = bit_length != 0 && bit == bit_length - 1; + input[id as usize] = logical ^ source_is_complemented; + } + input[harness.high7_id as usize] = (initial_highs & 1) != 0; + input[harness.high8_id as usize] = (initial_highs & 2) != 0; + + let output = apply_basis_vector(&harness.builder.ops, input.clone()); + let expected_high7 = ((bit_length >> 7) & 1) != 0; + let expected_high8 = ((bit_length >> 8) & 1) != 0; + assert_eq!( + output[harness.high7_id as usize], + input[harness.high7_id as usize] ^ expected_high7 + ); + assert_eq!( + output[harness.high8_id as usize], + input[harness.high8_id as usize] ^ expected_high8 + ); + assert!(harness + .source_ids + .iter() + .all(|id| output[*id as usize] == input[*id as usize])); + assert!(harness + .clean_scratch_ids + .iter() + .all(|id| !output[*id as usize])); + assert_eq!(apply_basis_vector(&harness.builder.ops, output), input); + basis_states += 1; + inverse_checks += 1; + source_restore_checks += 1; + scratch_clean_checks += 1; + } + } + ( + basis_states, + inverse_checks, + source_restore_checks, + scratch_clean_checks, + ) +} + +fn verify_split_two_high_stage( + harness: &SplitTwoHighStageHarness, +) -> (usize, usize, usize, usize, usize) { + use crate::circuit::OperationType; + + assert!(harness.builder.ops.iter().all(|op| matches!( + op.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ))); + let states = 1u64 << harness.data_ids.len(); + let mut scalar_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut scratch_restore_checks = 0usize; + for value in 0..states { + let input = split_two_high_stage_input(harness, value); + let output = apply_scalar(&harness.builder.ops, input); + let control = ((input >> harness.control_id) & 1) as usize; + let boundary = read_paired_bitlength_register(input, &harness.boundary_ids) as usize; + let low = read_paired_bitlength_register(input, &harness.length_ids) as usize; + let high7 = ((input >> harness.high7_id) & 1) as usize; + let high8 = ((input >> harness.high8_id) & 1) as usize; + let length = low | (high7 << harness.length_ids.len()) + | (high8 << (harness.length_ids.len() + 1)); + let initial_output = read_paired_bitlength_register(input, &harness.output_ids) as usize; + let expected_xor = if control == 1 && length >= boundary { + length - boundary + } else { + 0 + }; + let expected_output = initial_output ^ expected_xor; + assert_eq!( + read_paired_bitlength_register(output, &harness.output_ids) as usize, + expected_output + ); + assert_eq!(output & harness.preserved_mask, input & harness.preserved_mask); + assert_eq!(output & harness.clean_scratch_mask, 0); + assert_eq!(apply_scalar(&harness.builder.ops, output), input); + if control == 0 { + assert_eq!(output & harness.output_mask, input & harness.output_mask); + control_off_checks += 1; + } + scalar_equivalence_checks += 1; + inverse_pair_checks += 1; + phase_clean_checks += 1; + scratch_restore_checks += 1; + } + ( + scalar_equivalence_checks, + inverse_pair_checks, + control_off_checks, + phase_clean_checks, + scratch_restore_checks, + ) +} + +/// Prove the two-bit high-stage decomposition used by the Q840 candidate. +/// The production source support has every attainable bit length 0..259. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_split_two_high_rotated_length_check( +) -> SplitTwoHighRotatedLengthProofReport { + assert!( + std::env::var_os(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG).is_none(), + "the split-two-high rotated-length feature must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + + let mut borrow_truth_table_cases = 0usize; + for x in 0usize..=1 { + for y in 0usize..=1 { + for borrow in 0usize..=1 { + let expected = usize::from((2 * x) < (2 * y + borrow)); + assert_eq!(full_subtraction_borrow_anf(x, y, borrow), expected); + borrow_truth_table_cases += 1; + } + } + } + + let mut bit_lengths_checked = 0usize; + let mut same_arithmetic_cases = 0usize; + let mut mixed_arithmetic_cases = 0usize; + for bit_length in 0usize..=259 { + let low = bit_length & 0x7f; + let high7 = (bit_length >> 7) & 1; + let high8 = (bit_length >> 8) & 1; + let z128 = usize::from(bit_length < 128); + let z256 = usize::from(bit_length < 256); + assert_eq!(high7, z128 ^ z256); + assert_eq!(high8, 1 ^ z256); + bit_lengths_checked += 1; + + for boundary in 0usize..512 { + let boundary_low = boundary & 0x7f; + let boundary_high7 = (boundary >> 7) & 1; + let boundary_high8 = (boundary >> 8) & 1; + let low_borrow = usize::from(low < boundary_low); + let high_borrow = + full_subtraction_borrow_anf(high7, boundary_high7, low_borrow); + let underflow = + full_subtraction_borrow_anf(high8, boundary_high8, high_borrow); + let difference = ((low + 128 - boundary_low) & 0x7f) + | ((high7 ^ boundary_high7 ^ low_borrow) << 7) + | ((high8 ^ boundary_high8 ^ high_borrow) << 8); + assert_eq!(underflow, usize::from(bit_length < boundary)); + assert_eq!(difference, bit_length.wrapping_sub(boundary) & 0x1ff); + same_arithmetic_cases += 1; + } + + for boundary in 0usize..256 { + let boundary_low = boundary & 0x7f; + let boundary_high7 = (boundary >> 7) & 1; + let low_borrow = usize::from(low < boundary_low); + let high_borrow = + full_subtraction_borrow_anf(high7, boundary_high7, low_borrow); + let underflow = full_subtraction_borrow_anf(high8, 0, high_borrow); + let difference = ((low + 128 - boundary_low) & 0x7f) + | ((high7 ^ boundary_high7 ^ low_borrow) << 7) + | ((high8 ^ high_borrow) << 8); + assert_eq!(underflow, usize::from(bit_length < boundary)); + assert_eq!(difference, bit_length.wrapping_sub(boundary) & 0x1ff); + mixed_arithmetic_cases += 1; + } + } + + let same_stage = build_split_two_high_stage_harness(false); + let mixed_stage = build_split_two_high_stage_harness(true); + let high_indicator = build_split_two_high_indicator_harness(false); + let complemented_high_indicator = build_split_two_high_indicator_harness(true); + let same_circuit_basis_states = 1usize << same_stage.data_ids.len(); + let mixed_circuit_basis_states = 1usize << mixed_stage.data_ids.len(); + let same_checks = verify_split_two_high_stage(&same_stage); + let mixed_checks = verify_split_two_high_stage(&mixed_stage); + let high_checks = verify_split_two_high_indicator_harness(&high_indicator, false); + let complemented_high_checks = + verify_split_two_high_indicator_harness(&complemented_high_indicator, true); + + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, "1"); + std::env::remove_var(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG); + let same_boundary_baseline = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_baseline = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + std::env::set_var(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, "1"); + let same_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 7, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + let same_boundary_baseline = + inplace_rotated_boundary_local_resources(&same_boundary_baseline); + let same_boundary_candidate = + inplace_rotated_boundary_local_resources(&same_boundary_candidate); + let mixed_boundary_baseline = + inplace_rotated_boundary_local_resources(&mixed_boundary_baseline); + let mixed_boundary_candidate = + inplace_rotated_boundary_local_resources(&mixed_boundary_candidate); + assert_eq!(same_boundary_candidate.peak_qubits + 1, same_boundary_baseline.peak_qubits); + assert_eq!( + mixed_boundary_candidate.peak_qubits + 1, + mixed_boundary_baseline.peak_qubits + ); + + SplitTwoHighRotatedLengthProofReport { + borrow_truth_table_cases, + bit_lengths_checked, + high_indicator_basis_states: high_checks.0 + complemented_high_checks.0, + high_indicator_inverse_checks: high_checks.1 + complemented_high_checks.1, + high_indicator_source_restore_checks: high_checks.2 + complemented_high_checks.2, + high_indicator_scratch_clean_checks: high_checks.3 + complemented_high_checks.3, + same_arithmetic_cases, + mixed_arithmetic_cases, + same_circuit_basis_states, + mixed_circuit_basis_states, + scalar_equivalence_checks: same_checks.0 + mixed_checks.0, + inverse_pair_checks: same_checks.1 + mixed_checks.1, + control_off_checks: same_checks.2 + mixed_checks.2, + phase_clean_checks: same_checks.3 + mixed_checks.3, + scratch_restore_checks: same_checks.4 + mixed_checks.4, + same_boundary_baseline, + same_boundary_candidate, + mixed_boundary_baseline, + mixed_boundary_candidate, + } +} + +struct SplitThreeHighStageHarness { + builder: B, + data_ids: Vec, + control_id: u32, + boundary_ids: Vec, + length_ids: Vec, + high6_id: u32, + high7_id: u32, + high8_id: u32, + output_ids: Vec, + dirty_id: u32, + preserved_mask: u64, + output_mask: u64, + clean_scratch_mask: u64, +} + +fn build_split_three_high_stage_harness(mixed_boundary: bool) -> SplitThreeHighStageHarness { + const LOW_WIDTH: usize = 2; + const OUTPUT_WIDTH: usize = LOW_WIDTH + 3; + + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("sub800.three-high-proof.control"); + let boundary = circ.alloc_qreg_bits( + "sub800.three-high-proof.boundary", + OUTPUT_WIDTH - usize::from(mixed_boundary), + ); + let length = circ.alloc_qreg_bits("sub800.three-high-proof.length", LOW_WIDTH); + let output = circ.alloc_qreg_bits("sub800.three-high-proof.output", OUTPUT_WIDTH); + let scratch = circ.alloc_qreg_bits("sub800.three-high-proof.scratch", 8); + let dirty = circ.alloc_qreg("sub800.three-high-proof.dirty"); + let source = [&dirty]; + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + if mixed_boundary { + controlled_xor_saturating_difference_inplace_mixed_boundary( + &mut circ, + &control, + &boundary, + &source, + &length, + &output, + &scratch_refs, + ); + } else { + controlled_xor_saturating_difference_inplace_boundary( + &mut circ, + &control, + &boundary, + &source, + &length, + &output, + &scratch_refs, + ); + } + drop(scratch_refs); + + let data_ids: Vec = std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(std::iter::once(&scratch[5])) + .chain(std::iter::once(&scratch[6])) + .chain(std::iter::once(&scratch[7])) + .chain(&output) + .chain(std::iter::once(&dirty)) + .map(QReg::id) + .collect(); + let preserved_mask = qreg_mask( + std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(std::iter::once(&scratch[5])) + .chain(std::iter::once(&scratch[6])) + .chain(std::iter::once(&scratch[7])) + .chain(std::iter::once(&dirty)), + ); + let output_mask = qreg_mask(&output); + let clean_scratch_mask = qreg_mask(&scratch[..5]); + SplitThreeHighStageHarness { + builder: circ.into_builder(), + data_ids, + control_id: control.id(), + boundary_ids: boundary.iter().map(QReg::id).collect(), + length_ids: length.iter().map(QReg::id).collect(), + high6_id: scratch[5].id(), + high7_id: scratch[6].id(), + high8_id: scratch[7].id(), + output_ids: output.iter().map(QReg::id).collect(), + dirty_id: dirty.id(), + preserved_mask, + output_mask, + clean_scratch_mask, + } +} + +fn split_three_high_stage_input(harness: &SplitThreeHighStageHarness, value: u64) -> u64 { + harness + .data_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +struct SplitThreeHighIndicatorHarness { + builder: B, + source_ids: Vec, + high6_id: u32, + high7_id: u32, + high8_id: u32, + clean_scratch_ids: Vec, +} + +fn build_split_three_high_indicator_harness( + source_is_complemented: bool, +) -> SplitThreeHighIndicatorHarness { + const SOURCE_WIDTH: usize = 259; + + let mut circ = Circuit::new(); + let source = circ.alloc_input_qreg_bits("sub800.three-high-indicator.source", SOURCE_WIDTH); + let scratch = circ.alloc_qreg_bits("sub800.three-high-indicator.scratch", 8); + let source_refs: Vec<&QReg> = source.iter().collect(); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + toggle_split_bit_length_three_high( + &mut circ, + &source_refs, + &scratch[5], + &scratch[6], + &scratch[7], + &scratch_refs, + source_is_complemented, + ); + drop(source_refs); + drop(scratch_refs); + + SplitThreeHighIndicatorHarness { + builder: circ.into_builder(), + source_ids: source.iter().map(QReg::id).collect(), + high6_id: scratch[5].id(), + high7_id: scratch[6].id(), + high8_id: scratch[7].id(), + clean_scratch_ids: scratch[..5].iter().map(QReg::id).collect(), + } +} + +fn verify_split_three_high_indicator_harness( + harness: &SplitThreeHighIndicatorHarness, + source_is_complemented: bool, +) -> (usize, usize, usize, usize) { + use crate::circuit::OperationType; + + assert!(harness.builder.ops.iter().all(|operation| matches!( + operation.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ))); + let total_qubits = harness.builder.next_qubit as usize; + let mut basis_states = 0usize; + let mut inverse_checks = 0usize; + let mut source_restore_checks = 0usize; + let mut scratch_clean_checks = 0usize; + for bit_length in 0usize..=259 { + for initial_highs in 0usize..8 { + let mut input = vec![false; total_qubits]; + for (bit, id) in harness.source_ids.iter().copied().enumerate() { + let logical = bit_length != 0 && bit == bit_length - 1; + input[id as usize] = logical ^ source_is_complemented; + } + input[harness.high6_id as usize] = (initial_highs & 1) != 0; + input[harness.high7_id as usize] = (initial_highs & 2) != 0; + input[harness.high8_id as usize] = (initial_highs & 4) != 0; + + let output = apply_basis_vector(&harness.builder.ops, input.clone()); + let expected_high6 = ((bit_length >> 6) & 1) != 0; + let expected_high7 = ((bit_length >> 7) & 1) != 0; + let expected_high8 = ((bit_length >> 8) & 1) != 0; + assert_eq!( + output[harness.high6_id as usize], + input[harness.high6_id as usize] ^ expected_high6 + ); + assert_eq!( + output[harness.high7_id as usize], + input[harness.high7_id as usize] ^ expected_high7 + ); + assert_eq!( + output[harness.high8_id as usize], + input[harness.high8_id as usize] ^ expected_high8 + ); + assert!(harness + .source_ids + .iter() + .all(|id| output[*id as usize] == input[*id as usize])); + assert!(harness + .clean_scratch_ids + .iter() + .all(|id| !output[*id as usize])); + assert_eq!(apply_basis_vector(&harness.builder.ops, output), input); + basis_states += 1; + inverse_checks += 1; + source_restore_checks += 1; + scratch_clean_checks += 1; + } + } + ( + basis_states, + inverse_checks, + source_restore_checks, + scratch_clean_checks, + ) +} + +fn verify_split_three_high_stage( + harness: &SplitThreeHighStageHarness, +) -> (usize, usize, usize, usize, usize, usize) { + use crate::circuit::OperationType; + + assert!(harness.builder.ops.iter().all(|operation| matches!( + operation.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ))); + let states = 1u64 << harness.data_ids.len(); + let mut scalar_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut scratch_restore_checks = 0usize; + let mut dirty_lender_restore_checks = 0usize; + for value in 0..states { + let input = split_three_high_stage_input(harness, value); + let output = apply_scalar(&harness.builder.ops, input); + let control = ((input >> harness.control_id) & 1) as usize; + let boundary = read_paired_bitlength_register(input, &harness.boundary_ids) as usize; + let low = read_paired_bitlength_register(input, &harness.length_ids) as usize; + let high6 = ((input >> harness.high6_id) & 1) as usize; + let high7 = ((input >> harness.high7_id) & 1) as usize; + let high8 = ((input >> harness.high8_id) & 1) as usize; + let length = low + | (high6 << harness.length_ids.len()) + | (high7 << (harness.length_ids.len() + 1)) + | (high8 << (harness.length_ids.len() + 2)); + let initial_output = read_paired_bitlength_register(input, &harness.output_ids) as usize; + let expected_xor = if control == 1 && length >= boundary { + length - boundary + } else { + 0 + }; + assert_eq!( + read_paired_bitlength_register(output, &harness.output_ids) as usize, + initial_output ^ expected_xor + ); + assert_eq!(output & harness.preserved_mask, input & harness.preserved_mask); + assert_eq!(output & harness.clean_scratch_mask, 0); + assert_eq!( + (output >> harness.dirty_id) & 1, + (input >> harness.dirty_id) & 1 + ); + assert_eq!(apply_scalar(&harness.builder.ops, output), input); + if control == 0 { + assert_eq!(output & harness.output_mask, input & harness.output_mask); + control_off_checks += 1; + } + scalar_equivalence_checks += 1; + inverse_pair_checks += 1; + phase_clean_checks += 1; + scratch_restore_checks += 1; + dirty_lender_restore_checks += 1; + } + ( + scalar_equivalence_checks, + inverse_pair_checks, + control_off_checks, + phase_clean_checks, + scratch_restore_checks, + dirty_lender_restore_checks, + ) +} + +/// Prove the six-low/three-high decomposition for the audited 259-bit source. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_split_three_high_rotated_length_check( +) -> SplitThreeHighRotatedLengthProofReport { + assert!( + std::env::var_os(SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG).is_none(), + "the split-three-high rotated-length feature must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + + let mut borrow_truth_table_cases = 0usize; + for x in 0usize..=1 { + for y in 0usize..=1 { + for borrow in 0usize..=1 { + let expected = usize::from((2 * x) < (2 * y + borrow)); + assert_eq!(full_subtraction_borrow_anf(x, y, borrow), expected); + borrow_truth_table_cases += 1; + } + } + } + + let mut bit_lengths_checked = 0usize; + let mut regression_192_255_cases = 0usize; + let mut same_arithmetic_cases = 0usize; + let mut mixed_arithmetic_cases = 0usize; + for bit_length in 0usize..=259 { + let low = bit_length & 0x3f; + let high6 = (bit_length >> 6) & 1; + let high7 = (bit_length >> 7) & 1; + let high8 = (bit_length >> 8) & 1; + let z64 = usize::from(bit_length < 64); + let z128 = usize::from(bit_length < 128); + let z192 = usize::from(bit_length < 192); + let z256 = usize::from(bit_length < 256); + assert_eq!(high6, z64 ^ z128 ^ z192 ^ z256); + assert_eq!(high7, z128 ^ z256); + assert_eq!(high8, 1 ^ z256); + assert_eq!(low | (high6 << 6) | (high7 << 7) | (high8 << 8), bit_length); + if (192..=255).contains(&bit_length) { + assert_eq!((high6, high7, high8), (1, 1, 0)); + regression_192_255_cases += 1; + } + bit_lengths_checked += 1; + + for boundary in 0usize..512 { + let boundary_low = boundary & 0x3f; + let boundary_high6 = (boundary >> 6) & 1; + let boundary_high7 = (boundary >> 7) & 1; + let boundary_high8 = (boundary >> 8) & 1; + let low_borrow = usize::from(low < boundary_low); + let high6_borrow = + full_subtraction_borrow_anf(high6, boundary_high6, low_borrow); + let high7_borrow = + full_subtraction_borrow_anf(high7, boundary_high7, high6_borrow); + let underflow = + full_subtraction_borrow_anf(high8, boundary_high8, high7_borrow); + let difference = ((low + 64 - boundary_low) & 0x3f) + | ((high6 ^ boundary_high6 ^ low_borrow) << 6) + | ((high7 ^ boundary_high7 ^ high6_borrow) << 7) + | ((high8 ^ boundary_high8 ^ high7_borrow) << 8); + assert_eq!(underflow, usize::from(bit_length < boundary)); + assert_eq!(difference, bit_length.wrapping_sub(boundary) & 0x1ff); + same_arithmetic_cases += 1; + } + + for boundary in 0usize..256 { + let boundary_low = boundary & 0x3f; + let boundary_high6 = (boundary >> 6) & 1; + let boundary_high7 = (boundary >> 7) & 1; + let low_borrow = usize::from(low < boundary_low); + let high6_borrow = + full_subtraction_borrow_anf(high6, boundary_high6, low_borrow); + let high7_borrow = + full_subtraction_borrow_anf(high7, boundary_high7, high6_borrow); + let underflow = full_subtraction_borrow_anf(high8, 0, high7_borrow); + let difference = ((low + 64 - boundary_low) & 0x3f) + | ((high6 ^ boundary_high6 ^ low_borrow) << 6) + | ((high7 ^ boundary_high7 ^ high6_borrow) << 7) + | ((high8 ^ high7_borrow) << 8); + assert_eq!(underflow, usize::from(bit_length < boundary)); + assert_eq!(difference, bit_length.wrapping_sub(boundary) & 0x1ff); + mixed_arithmetic_cases += 1; + } + } + + let same_stage = build_split_three_high_stage_harness(false); + let mixed_stage = build_split_three_high_stage_harness(true); + let high_indicator = build_split_three_high_indicator_harness(false); + let complemented_high_indicator = build_split_three_high_indicator_harness(true); + let same_circuit_basis_states = 1usize << same_stage.data_ids.len(); + let mixed_circuit_basis_states = 1usize << mixed_stage.data_ids.len(); + let same_checks = verify_split_three_high_stage(&same_stage); + let mixed_checks = verify_split_three_high_stage(&mixed_stage); + let high_checks = verify_split_three_high_indicator_harness(&high_indicator, false); + let complemented_high_checks = + verify_split_three_high_indicator_harness(&complemented_high_indicator, true); + + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, "1"); + std::env::remove_var(SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG); + let same_boundary_two_high = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 8, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_two_high = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 8, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + // Keep two-high enabled: the candidate must take precedence over it. + std::env::set_var(SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG, "1"); + let same_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 8, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 8, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + let same_boundary_two_high = + inplace_rotated_boundary_local_resources(&same_boundary_two_high); + let same_boundary_candidate = + inplace_rotated_boundary_local_resources(&same_boundary_candidate); + let mixed_boundary_two_high = + inplace_rotated_boundary_local_resources(&mixed_boundary_two_high); + let mixed_boundary_candidate = + inplace_rotated_boundary_local_resources(&mixed_boundary_candidate); + assert_eq!( + same_boundary_candidate.peak_qubits + 1, + same_boundary_two_high.peak_qubits + ); + assert_eq!( + mixed_boundary_candidate.peak_qubits + 1, + mixed_boundary_two_high.peak_qubits + ); + + SplitThreeHighRotatedLengthProofReport { + borrow_truth_table_cases, + bit_lengths_checked, + regression_192_255_cases, + complement_modes_checked: 2, + initial_high_states_checked: 8, + high_indicator_basis_states: high_checks.0 + complemented_high_checks.0, + high_indicator_inverse_checks: high_checks.1 + complemented_high_checks.1, + high_indicator_source_restore_checks: high_checks.2 + complemented_high_checks.2, + high_indicator_scratch_clean_checks: high_checks.3 + complemented_high_checks.3, + same_arithmetic_cases, + mixed_arithmetic_cases, + same_circuit_basis_states, + mixed_circuit_basis_states, + scalar_equivalence_checks: same_checks.0 + mixed_checks.0, + inverse_pair_checks: same_checks.1 + mixed_checks.1, + control_off_checks: same_checks.2 + mixed_checks.2, + phase_clean_checks: same_checks.3 + mixed_checks.3, + scratch_restore_checks: same_checks.4 + mixed_checks.4, + dirty_lender_restore_checks: same_checks.5 + mixed_checks.5, + route_precedence_checks: 2, + same_boundary_two_high, + same_boundary_candidate, + mixed_boundary_two_high, + mixed_boundary_candidate, + } +} + +struct SplitFourHighStageHarness { + builder: B, + data_ids: Vec, + control_id: u32, + boundary_ids: Vec, + length_ids: Vec, + high5_id: u32, + high6_id: u32, + high7_id: u32, + high8_id: u32, + output_ids: Vec, + dirty_id: u32, + preserved_mask: u64, + output_mask: u64, + clean_scratch_mask: u64, +} + +fn build_split_four_high_stage_harness( + mixed_boundary: bool, + low_width: usize, +) -> SplitFourHighStageHarness { + assert!(low_width >= 1); + let output_width = low_width + 4; + + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("sub800.four-high-proof.control"); + let boundary = circ.alloc_qreg_bits( + "sub800.four-high-proof.boundary", + output_width - usize::from(mixed_boundary), + ); + let length = circ.alloc_qreg_bits("sub800.four-high-proof.length", low_width); + let output = circ.alloc_qreg_bits("sub800.four-high-proof.output", output_width); + let scratch = circ.alloc_qreg_bits("sub800.four-high-proof.scratch", 9); + let dirty = circ.alloc_qreg("sub800.four-high-proof.dirty"); + let source = [&dirty]; + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + if mixed_boundary { + controlled_xor_saturating_difference_inplace_mixed_boundary( + &mut circ, + &control, + &boundary, + &source, + &length, + &output, + &scratch_refs, + ); + } else { + controlled_xor_saturating_difference_inplace_boundary( + &mut circ, + &control, + &boundary, + &source, + &length, + &output, + &scratch_refs, + ); + } + drop(scratch_refs); + + let data_ids: Vec = std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(&scratch[5..9]) + .chain(&output) + .chain(std::iter::once(&dirty)) + .map(QReg::id) + .collect(); + let preserved_mask = qreg_mask( + std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(&scratch[5..9]) + .chain(std::iter::once(&dirty)), + ); + let output_mask = qreg_mask(&output); + let clean_scratch_mask = qreg_mask(&scratch[..5]); + SplitFourHighStageHarness { + builder: circ.into_builder(), + data_ids, + control_id: control.id(), + boundary_ids: boundary.iter().map(QReg::id).collect(), + length_ids: length.iter().map(QReg::id).collect(), + high5_id: scratch[5].id(), + high6_id: scratch[6].id(), + high7_id: scratch[7].id(), + high8_id: scratch[8].id(), + output_ids: output.iter().map(QReg::id).collect(), + dirty_id: dirty.id(), + preserved_mask, + output_mask, + clean_scratch_mask, + } +} + +fn split_four_high_stage_input(harness: &SplitFourHighStageHarness, value: u64) -> u64 { + harness + .data_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +struct SplitFourHighIndicatorHarness { + builder: B, + source_ids: Vec, + high5_id: u32, + high6_id: u32, + high7_id: u32, + high8_id: u32, + clean_scratch_ids: Vec, +} + +fn build_split_four_high_indicator_harness( + source_is_complemented: bool, +) -> SplitFourHighIndicatorHarness { + const SOURCE_WIDTH: usize = 259; + + let mut circ = Circuit::new(); + let source = circ.alloc_input_qreg_bits("sub800.four-high-indicator.source", SOURCE_WIDTH); + let scratch = circ.alloc_qreg_bits("sub800.four-high-indicator.scratch", 9); + let source_refs: Vec<&QReg> = source.iter().collect(); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + toggle_split_bit_length_four_high( + &mut circ, + &source_refs, + &scratch[5], + &scratch[6], + &scratch[7], + &scratch[8], + &scratch_refs, + source_is_complemented, + ); + drop(source_refs); + drop(scratch_refs); + + SplitFourHighIndicatorHarness { + builder: circ.into_builder(), + source_ids: source.iter().map(QReg::id).collect(), + high5_id: scratch[5].id(), + high6_id: scratch[6].id(), + high7_id: scratch[7].id(), + high8_id: scratch[8].id(), + clean_scratch_ids: scratch[..5].iter().map(QReg::id).collect(), + } +} + +fn verify_split_four_high_indicator_harness( + harness: &SplitFourHighIndicatorHarness, + source_is_complemented: bool, +) -> (usize, usize, usize, usize) { + use crate::circuit::OperationType; + + assert!(harness.builder.ops.iter().all(|operation| matches!( + operation.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ))); + let total_qubits = harness.builder.next_qubit as usize; + let mut basis_states = 0usize; + let mut inverse_checks = 0usize; + let mut source_restore_checks = 0usize; + let mut scratch_clean_checks = 0usize; + for bit_length in 0usize..=259 { + for source_class in 0usize..3 { + for initial_highs in 0usize..16 { + let mut input = vec![false; total_qubits]; + for (bit, id) in harness.source_ids.iter().copied().enumerate() { + let logical = if bit_length == 0 { + false + } else { + let top = bit_length - 1; + match source_class { + 0 => bit == top, + 1 => bit <= top, + 2 => bit == top || (bit < top && bit % 2 == 0), + _ => unreachable!(), + } + }; + input[id as usize] = logical ^ source_is_complemented; + } + input[harness.high5_id as usize] = (initial_highs & 1) != 0; + input[harness.high6_id as usize] = (initial_highs & 2) != 0; + input[harness.high7_id as usize] = (initial_highs & 4) != 0; + input[harness.high8_id as usize] = (initial_highs & 8) != 0; + + let output = apply_basis_vector(&harness.builder.ops, input.clone()); + for (id, expected) in [ + (harness.high5_id, ((bit_length >> 5) & 1) != 0), + (harness.high6_id, ((bit_length >> 6) & 1) != 0), + (harness.high7_id, ((bit_length >> 7) & 1) != 0), + (harness.high8_id, ((bit_length >> 8) & 1) != 0), + ] { + assert_eq!(output[id as usize], input[id as usize] ^ expected); + } + assert!(harness + .source_ids + .iter() + .all(|id| output[*id as usize] == input[*id as usize])); + assert!(harness + .clean_scratch_ids + .iter() + .all(|id| !output[*id as usize])); + assert_eq!(apply_basis_vector(&harness.builder.ops, output), input); + basis_states += 1; + inverse_checks += 1; + source_restore_checks += 1; + scratch_clean_checks += 1; + } + } + } + ( + basis_states, + inverse_checks, + source_restore_checks, + scratch_clean_checks, + ) +} + +fn verify_split_four_high_stage( + harness: &SplitFourHighStageHarness, +) -> (usize, usize, usize, usize, usize, usize) { + use crate::circuit::OperationType; + + assert!(harness.builder.ops.iter().all(|operation| matches!( + operation.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ))); + let states = 1u64 << harness.data_ids.len(); + let mut scalar_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut scratch_restore_checks = 0usize; + let mut dirty_lender_restore_checks = 0usize; + for value in 0..states { + let input = split_four_high_stage_input(harness, value); + let output = apply_scalar(&harness.builder.ops, input); + let control = ((input >> harness.control_id) & 1) as usize; + let boundary = read_paired_bitlength_register(input, &harness.boundary_ids) as usize; + let low = read_paired_bitlength_register(input, &harness.length_ids) as usize; + let high5 = ((input >> harness.high5_id) & 1) as usize; + let high6 = ((input >> harness.high6_id) & 1) as usize; + let high7 = ((input >> harness.high7_id) & 1) as usize; + let high8 = ((input >> harness.high8_id) & 1) as usize; + let length = low + | (high5 << harness.length_ids.len()) + | (high6 << (harness.length_ids.len() + 1)) + | (high7 << (harness.length_ids.len() + 2)) + | (high8 << (harness.length_ids.len() + 3)); + let initial_output = read_paired_bitlength_register(input, &harness.output_ids) as usize; + let expected_xor = if control == 1 && length >= boundary { + length - boundary + } else { + 0 + }; + assert_eq!( + read_paired_bitlength_register(output, &harness.output_ids) as usize, + initial_output ^ expected_xor + ); + assert_eq!(output & harness.preserved_mask, input & harness.preserved_mask); + assert_eq!(output & harness.clean_scratch_mask, 0); + assert_eq!( + (output >> harness.dirty_id) & 1, + (input >> harness.dirty_id) & 1 + ); + assert_eq!(apply_scalar(&harness.builder.ops, output), input); + if control == 0 { + assert_eq!(output & harness.output_mask, input & harness.output_mask); + control_off_checks += 1; + } + scalar_equivalence_checks += 1; + inverse_pair_checks += 1; + phase_clean_checks += 1; + scratch_restore_checks += 1; + dirty_lender_restore_checks += 1; + } + ( + scalar_equivalence_checks, + inverse_pair_checks, + control_off_checks, + phase_clean_checks, + scratch_restore_checks, + dirty_lender_restore_checks, + ) +} + +fn split_four_high_structured_input( + harness: &SplitFourHighStageHarness, + bit_length: usize, + boundary: usize, + initial_output: usize, + dirty: bool, +) -> u64 { + let mut input = 1u64 << harness.control_id; + for (bit, id) in harness.boundary_ids.iter().copied().enumerate() { + input |= (((boundary >> bit) & 1) as u64) << id; + } + for (bit, id) in harness.length_ids.iter().copied().enumerate() { + input |= (((bit_length >> bit) & 1) as u64) << id; + } + for (bit, id) in [ + harness.high5_id, + harness.high6_id, + harness.high7_id, + harness.high8_id, + ] + .into_iter() + .enumerate() + { + input |= (((bit_length >> (harness.length_ids.len() + bit)) & 1) as u64) << id; + } + for (bit, id) in harness.output_ids.iter().copied().enumerate() { + input |= (((initial_output >> bit) & 1) as u64) << id; + } + input | (u64::from(dirty) << harness.dirty_id) +} + +fn verify_split_four_high_production_stage( + harness: &SplitFourHighStageHarness, + mixed_boundary: bool, +) -> (usize, usize, usize, usize) { + use crate::circuit::OperationType; + + assert_eq!(harness.length_ids.len(), 5); + assert_eq!(harness.output_ids.len(), 9); + assert_eq!(harness.boundary_ids.len(), 9 - usize::from(mixed_boundary)); + assert!(harness.builder.ops.iter().all(|operation| matches!( + operation.kind, + OperationType::X | OperationType::CX | OperationType::CCX + ))); + let boundary_limit = 1usize << harness.boundary_ids.len(); + let output_mask = (1usize << harness.output_ids.len()) - 1; + let mut cases_checked = 0usize; + let mut inverse_checks = 0usize; + let mut scratch_restore_checks = 0usize; + let mut dirty_lender_restore_checks = 0usize; + for bit_length in 0usize..=259 { + for boundary in 0usize..boundary_limit { + for output_class in 0usize..2 { + let initial_output = if output_class == 0 { + 0 + } else { + (bit_length.wrapping_mul(257) + ^ boundary.wrapping_mul(17) + ^ 0x155) + & output_mask + }; + let input = split_four_high_structured_input( + harness, + bit_length, + boundary, + initial_output, + output_class != 0, + ); + let output = apply_scalar(&harness.builder.ops, input); + let expected_xor = if bit_length >= boundary { + bit_length - boundary + } else { + 0 + }; + assert_eq!( + read_paired_bitlength_register(output, &harness.output_ids) as usize, + initial_output ^ expected_xor + ); + assert_eq!(output & harness.preserved_mask, input & harness.preserved_mask); + assert_eq!(output & harness.clean_scratch_mask, 0); + assert_eq!( + (output >> harness.dirty_id) & 1, + (input >> harness.dirty_id) & 1 + ); + assert_eq!(apply_scalar(&harness.builder.ops, output), input); + cases_checked += 1; + inverse_checks += 1; + scratch_restore_checks += 1; + dirty_lender_restore_checks += 1; + } + } + } + ( + cases_checked, + inverse_checks, + scratch_restore_checks, + dirty_lender_restore_checks, + ) +} + +/// Prove the five-low/four-high decomposition for the audited 259-bit source. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_split_four_high_rotated_length_check( +) -> SplitFourHighRotatedLengthProofReport { + assert!( + std::env::var_os(SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG).is_none(), + "the split-four-high proof process must not inherit a route override" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + + let mut borrow_truth_table_cases = 0usize; + for x in 0usize..=1 { + for y in 0usize..=1 { + for borrow in 0usize..=1 { + let expected = usize::from((2 * x) < (2 * y + borrow)); + assert_eq!(full_subtraction_borrow_anf(x, y, borrow), expected); + borrow_truth_table_cases += 1; + } + } + } + + let mut bit_lengths_checked = 0usize; + let mut regression_224_255_cases = 0usize; + let mut same_arithmetic_cases = 0usize; + let mut mixed_arithmetic_cases = 0usize; + for bit_length in 0usize..=259 { + let low = bit_length & 0x1f; + let high5 = (bit_length >> 5) & 1; + let high6 = (bit_length >> 6) & 1; + let high7 = (bit_length >> 7) & 1; + let high8 = (bit_length >> 8) & 1; + let z32 = usize::from(bit_length < 32); + let z64 = usize::from(bit_length < 64); + let z96 = usize::from(bit_length < 96); + let z128 = usize::from(bit_length < 128); + let z160 = usize::from(bit_length < 160); + let z192 = usize::from(bit_length < 192); + let z224 = usize::from(bit_length < 224); + let z256 = usize::from(bit_length < 256); + assert_eq!(high5, z32 ^ z64 ^ z96 ^ z128 ^ z160 ^ z192 ^ z224 ^ z256); + assert_eq!(high6, z64 ^ z128 ^ z192 ^ z256); + assert_eq!(high7, z128 ^ z256); + assert_eq!(high8, 1 ^ z256); + assert_eq!( + low | (high5 << 5) | (high6 << 6) | (high7 << 7) | (high8 << 8), + bit_length + ); + if (224..=255).contains(&bit_length) { + assert_eq!((high5, high6, high7, high8), (1, 1, 1, 0)); + regression_224_255_cases += 1; + } + bit_lengths_checked += 1; + + for boundary in 0usize..512 { + let boundary_low = boundary & 0x1f; + let boundary_high5 = (boundary >> 5) & 1; + let boundary_high6 = (boundary >> 6) & 1; + let boundary_high7 = (boundary >> 7) & 1; + let boundary_high8 = (boundary >> 8) & 1; + let low_borrow = usize::from(low < boundary_low); + let high5_borrow = + full_subtraction_borrow_anf(high5, boundary_high5, low_borrow); + let high6_borrow = + full_subtraction_borrow_anf(high6, boundary_high6, high5_borrow); + let high7_borrow = + full_subtraction_borrow_anf(high7, boundary_high7, high6_borrow); + let underflow = + full_subtraction_borrow_anf(high8, boundary_high8, high7_borrow); + let difference = ((low + 32 - boundary_low) & 0x1f) + | ((high5 ^ boundary_high5 ^ low_borrow) << 5) + | ((high6 ^ boundary_high6 ^ high5_borrow) << 6) + | ((high7 ^ boundary_high7 ^ high6_borrow) << 7) + | ((high8 ^ boundary_high8 ^ high7_borrow) << 8); + assert_eq!(underflow, usize::from(bit_length < boundary)); + assert_eq!(difference, bit_length.wrapping_sub(boundary) & 0x1ff); + same_arithmetic_cases += 1; + } + + for boundary in 0usize..256 { + let boundary_low = boundary & 0x1f; + let boundary_high5 = (boundary >> 5) & 1; + let boundary_high6 = (boundary >> 6) & 1; + let boundary_high7 = (boundary >> 7) & 1; + let low_borrow = usize::from(low < boundary_low); + let high5_borrow = + full_subtraction_borrow_anf(high5, boundary_high5, low_borrow); + let high6_borrow = + full_subtraction_borrow_anf(high6, boundary_high6, high5_borrow); + let high7_borrow = + full_subtraction_borrow_anf(high7, boundary_high7, high6_borrow); + let underflow = full_subtraction_borrow_anf(high8, 0, high7_borrow); + let difference = ((low + 32 - boundary_low) & 0x1f) + | ((high5 ^ boundary_high5 ^ low_borrow) << 5) + | ((high6 ^ boundary_high6 ^ high5_borrow) << 6) + | ((high7 ^ boundary_high7 ^ high6_borrow) << 7) + | ((high8 ^ high7_borrow) << 8); + assert_eq!(underflow, usize::from(bit_length < boundary)); + assert_eq!(difference, bit_length.wrapping_sub(boundary) & 0x1ff); + mixed_arithmetic_cases += 1; + } + } + + let same_stage = build_split_four_high_stage_harness(false, 1); + let mixed_stage = build_split_four_high_stage_harness(true, 1); + let production_same_stage = build_split_four_high_stage_harness(false, 5); + let production_mixed_stage = build_split_four_high_stage_harness(true, 5); + let high_indicator = build_split_four_high_indicator_harness(false); + let complemented_high_indicator = build_split_four_high_indicator_harness(true); + let same_circuit_basis_states = 1usize << same_stage.data_ids.len(); + let mixed_circuit_basis_states = 1usize << mixed_stage.data_ids.len(); + let same_checks = verify_split_four_high_stage(&same_stage); + let mixed_checks = verify_split_four_high_stage(&mixed_stage); + let production_same_checks = + verify_split_four_high_production_stage(&production_same_stage, false); + let production_mixed_checks = + verify_split_four_high_production_stage(&production_mixed_stage, true); + let high_checks = verify_split_four_high_indicator_harness(&high_indicator, false); + let complemented_high_checks = + verify_split_four_high_indicator_harness(&complemented_high_indicator, true); + + reset_sub800_q839_route_coverage(); + configure_paired_bitlength_source_complement_proof(true, true); + std::env::set_var(SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, "1"); + std::env::set_var(SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, "1"); + std::env::set_var(SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG, "1"); + std::env::remove_var(SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG); + let same_boundary_three_high = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 9, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_three_high = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 9, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + // Keep all earlier split routes enabled: four-high must take precedence. + std::env::set_var(SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG, "1"); + let same_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 9, + SaturatingDifferenceBoundaryRoute::Inplace, + false, + Some(true), + ); + let mixed_boundary_candidate = build_paired_bitlength_source_complement_harness( + REFERENCE_LENGTH_WIDTH, + 259, + 9, + SaturatingDifferenceBoundaryRoute::Inplace, + true, + Some(true), + ); + let same_boundary_three_high = + inplace_rotated_boundary_local_resources(&same_boundary_three_high); + let same_boundary_candidate = + inplace_rotated_boundary_local_resources(&same_boundary_candidate); + let mixed_boundary_three_high = + inplace_rotated_boundary_local_resources(&mixed_boundary_three_high); + let mixed_boundary_candidate = + inplace_rotated_boundary_local_resources(&mixed_boundary_candidate); + let route_coverage = sub800_q839_route_coverage(); + assert_eq!(route_coverage.split_three_same_calls, 1); + assert_eq!(route_coverage.split_three_mixed_calls, 1); + assert_eq!(route_coverage.split_four_same_calls, 1); + assert_eq!(route_coverage.split_four_mixed_calls, 1); + assert_eq!( + same_boundary_candidate.peak_qubits + 1, + same_boundary_three_high.peak_qubits + ); + assert_eq!( + mixed_boundary_candidate.peak_qubits + 1, + mixed_boundary_three_high.peak_qubits + ); + + SplitFourHighRotatedLengthProofReport { + borrow_truth_table_cases, + bit_lengths_checked, + regression_224_255_cases, + complement_modes_checked: 2, + source_classes_checked: 3, + initial_high_states_checked: 16, + high_indicator_basis_states: high_checks.0 + complemented_high_checks.0, + high_indicator_inverse_checks: high_checks.1 + complemented_high_checks.1, + high_indicator_source_restore_checks: high_checks.2 + complemented_high_checks.2, + high_indicator_scratch_clean_checks: high_checks.3 + complemented_high_checks.3, + same_arithmetic_cases, + mixed_arithmetic_cases, + same_circuit_basis_states, + mixed_circuit_basis_states, + production_same_circuit_cases: production_same_checks.0, + production_mixed_circuit_cases: production_mixed_checks.0, + production_inverse_checks: production_same_checks.1 + production_mixed_checks.1, + production_scratch_restore_checks: production_same_checks.2 + + production_mixed_checks.2, + production_dirty_lender_restore_checks: production_same_checks.3 + + production_mixed_checks.3, + scalar_equivalence_checks: same_checks.0 + mixed_checks.0, + inverse_pair_checks: same_checks.1 + mixed_checks.1, + control_off_checks: same_checks.2 + mixed_checks.2, + phase_clean_checks: same_checks.3 + mixed_checks.3, + scratch_restore_checks: same_checks.4 + mixed_checks.4, + dirty_lender_restore_checks: same_checks.5 + mixed_checks.5, + route_precedence_checks: route_coverage.split_four_same_calls + + route_coverage.split_four_mixed_calls, + same_boundary_three_high, + same_boundary_candidate, + mixed_boundary_three_high, + mixed_boundary_candidate, + } +} + +struct Q827SerialHighIndicatorHarness { + builder: B, + source_ids: Vec, + high_ids: Vec, + clean_scratch_ids: Vec, +} + +fn build_q827_serial_high_indicator_harness( + source_is_complemented: bool, +) -> Q827SerialHighIndicatorHarness { + let mut circ = Circuit::new(); + let source = circ.alloc_input_qreg_bits("q827.serial-high.source", 259); + let scratch = circ.alloc_qreg_bits("q827.serial-high.scratch", 9); + let source_refs = source.iter().collect::>(); + let scratch_refs = scratch.iter().collect::>(); + toggle_split_bit_length_five_high( + &mut circ, + &source_refs, + &scratch[5], + &scratch[6], + &scratch[7], + &scratch[8], + &scratch_refs, + source_is_complemented, + ); + drop(source_refs); + drop(scratch_refs); + Q827SerialHighIndicatorHarness { + builder: circ.into_builder(), + source_ids: source.iter().map(QReg::id).collect(), + high_ids: scratch[5..9].iter().map(QReg::id).collect(), + clean_scratch_ids: scratch[..5].iter().map(QReg::id).collect(), + } +} + +fn verify_q827_serial_high_indicator_harness( + harness: &Q827SerialHighIndicatorHarness, + source_is_complemented: bool, +) -> (usize, usize, usize, usize) { + let total_qubits = harness.builder.next_qubit as usize; + let mut cases = 0usize; + let mut inverse_checks = 0usize; + let mut source_restore_checks = 0usize; + let mut scratch_restore_checks = 0usize; + for bit_length in 0usize..=259 { + for source_class in 0usize..3 { + for initial_highs in 0usize..16 { + let mut input = vec![false; total_qubits]; + for (bit, id) in harness.source_ids.iter().copied().enumerate() { + let logical = if bit_length == 0 { + false + } else { + let top = bit_length - 1; + match source_class { + 0 => bit == top, + 1 => bit <= top, + 2 => bit == top || (bit < top && bit % 2 == 0), + _ => unreachable!(), + } + }; + input[id as usize] = logical ^ source_is_complemented; + } + for (offset, id) in harness.high_ids.iter().copied().enumerate() { + input[id as usize] = ((initial_highs >> offset) & 1) != 0; + } + + let output = apply_basis_vector(&harness.builder.ops, input.clone()); + for (offset, id) in harness.high_ids.iter().copied().enumerate() { + assert_eq!( + output[id as usize], + input[id as usize] ^ (((bit_length >> (offset + 4)) & 1) != 0) + ); + } + assert!(harness + .source_ids + .iter() + .all(|id| output[*id as usize] == input[*id as usize])); + assert!(harness + .clean_scratch_ids + .iter() + .all(|id| !output[*id as usize])); + assert_eq!(apply_basis_vector(&harness.builder.ops, output), input); + cases += 1; + inverse_checks += 1; + source_restore_checks += 1; + scratch_restore_checks += 1; + } + } + } + ( + cases, + inverse_checks, + source_restore_checks, + scratch_restore_checks, + ) +} + +struct Q827SerialReducedStageHarness { + builder: B, + data_ids: Vec, + control_id: u32, + boundary_ids: Vec, + length_id: u32, + high_ids: Vec, + output_ids: Vec, + z256_id: u32, + preserved_mask: u64, + clean_mask: u64, + external_mask: u64, +} + +fn build_q827_serial_reduced_stage_harness( + mixed_boundary: bool, +) -> Q827SerialReducedStageHarness { + const LOW_WIDTH: usize = 1; + const OUTPUT_WIDTH: usize = LOW_WIDTH + 5; + + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q827.serial-reduced.control"); + let boundary = circ.alloc_qreg_bits( + "q827.serial-reduced.boundary", + OUTPUT_WIDTH - usize::from(mixed_boundary), + ); + let length = circ.alloc_qreg_bits("q827.serial-reduced.length", LOW_WIDTH); + let output = circ.alloc_qreg_bits("q827.serial-reduced.output", OUTPUT_WIDTH); + let scratch = circ.alloc_qreg_bits("q827.serial-reduced.scratch", 9); + let dirty = circ.alloc_qreg("q827.serial-reduced.dirty"); + let z256 = circ.alloc_qreg("q827.serial-reduced.z256"); + let fixed_z256 = circ.alloc_qreg_bits("q827.serial-reduced.fixed-z256", 3); + + // Only source[0] and the four Z256 lanes are observed by this stage. + // Alias the unused middle positions to a restored dirty lender so the + // exact Boolean circuit remains exhaustible. + let mut source = vec![&dirty; 255]; + source.extend([&z256, &fixed_z256[0], &fixed_z256[1], &fixed_z256[2]]); + for lane in &fixed_z256 { + circ.x(lane); + } + let scratch_refs = scratch.iter().collect::>(); + controlled_xor_saturating_difference_serial_split_five( + &mut circ, + &control, + &boundary, + &source, + &length, + &output, + &scratch_refs, + true, + ); + for lane in &fixed_z256 { + circ.x(lane); + } + drop(scratch_refs); + drop(source); + + let data_ids = std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(&scratch[5..9]) + .chain(std::iter::once(&dirty)) + .chain(std::iter::once(&z256)) + .map(QReg::id) + .collect::>(); + let preserved_mask = qreg_mask( + std::iter::once(&control) + .chain(&boundary) + .chain(&length) + .chain(&scratch[5..9]) + .chain(std::iter::once(&dirty)) + .chain(std::iter::once(&z256)), + ); + let output_mask = qreg_mask(&output); + let clean_mask = qreg_mask(scratch[..5].iter().chain(&fixed_z256)); + let external_mask = preserved_mask | output_mask; + let builder = circ.into_builder(); + + for operation in &builder.ops { + for output_id in output.iter().map(QReg::id) { + assert_ne!(operation.q_control1.0 as u32, output_id); + assert_ne!(operation.q_control2.0 as u32, output_id); + } + } + + Q827SerialReducedStageHarness { + builder, + data_ids, + control_id: control.id(), + boundary_ids: boundary.iter().map(QReg::id).collect(), + length_id: length[0].id(), + high_ids: scratch[5..9].iter().map(QReg::id).collect(), + output_ids: output.iter().map(QReg::id).collect(), + z256_id: z256.id(), + preserved_mask, + clean_mask, + external_mask, + } +} + +fn verify_q827_serial_reduced_stage( + harness: &Q827SerialReducedStageHarness, +) -> (usize, usize, usize, usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::digest::{ExtendableOutput, Update}; + + let states = 1usize << harness.data_ids.len(); + let mut forward_checks = 0usize; + let mut inverse_checks = 0usize; + let mut phase_checks = 0usize; + let mut ancilla_checks = 0usize; + let mut dirty_restore_checks = 0usize; + for value in 0..states { + let input = q847_basis_input(&harness.data_ids, value); + let output = apply_scalar(&harness.builder.ops, input); + let control = ((input >> harness.control_id) & 1) as usize; + let boundary = read_paired_bitlength_register(input, &harness.boundary_ids) as usize; + let low = ((input >> harness.length_id) & 1) as usize; + let z256 = ((input >> harness.z256_id) & 1) as usize; + let explicit_high = harness + .high_ids + .iter() + .enumerate() + .fold(0usize, |word, (offset, id)| { + word | ((((input >> id) & 1) as usize) << (offset + 1)) + }); + let length = low | explicit_high | ((1 ^ z256) << 5); + let expected = if control == 1 && length >= boundary { + length - boundary + } else { + 0 + }; + assert_eq!( + read_paired_bitlength_register(output, &harness.output_ids) as usize, + expected + ); + assert_eq!(output & harness.preserved_mask, input & harness.preserved_mask); + assert_eq!(output & harness.clean_mask, 0); + assert_eq!(apply_scalar(&harness.builder.ops, output), input); + forward_checks += 1; + inverse_checks += 1; + dirty_restore_checks += 1; + } + + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut seed = sha3::Shake128::default(); + seed.update(b"q827-serial-split-five-stage"); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for shot in 0..shots { + let value = batch_start + shot; + for (bit, id) in harness.data_ids.iter().copied().enumerate() { + if ((value >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + let initial = (0..harness.builder.next_qubit) + .map(|id| simulator.qubit(QubitId(u64::from(id)))) + .collect::>(); + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase & live, 0); + for id in 0..harness.builder.next_qubit { + if harness.external_mask & (1u64 << id) == 0 { + assert_eq!(simulator.qubit(QubitId(u64::from(id))) & live, 0); + } + } + phase_checks += shots; + ancilla_checks += shots; + + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase & live, 0); + for (id, expected) in initial.iter().copied().enumerate() { + assert_eq!(simulator.qubit(QubitId(id as u64)) & live, expected & live); + } + phase_checks += shots; + ancilla_checks += shots; + } + + ( + states, + forward_checks, + inverse_checks, + phase_checks, + ancilla_checks, + dirty_restore_checks, + ) +} + +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q827_serial_split_five_check() -> Q827SerialSplitFiveProofReport { + assert!( + std::env::var_os(Q827_SERIAL_SPLIT_FIVE_FLAG).is_none(), + "the serial split-five proof must not inherit a route override" + ); + + let mut borrow_truth_table_cases = 0usize; + for x in 0usize..=1 { + for y in 0usize..=1 { + for borrow in 0usize..=1 { + assert_eq!( + full_subtraction_borrow_anf(x, y, borrow), + usize::from((2 * x) < (2 * y + borrow)) + ); + borrow_truth_table_cases += 1; + } + } + } + + let mut enabled_anf_cases = 0usize; + for z in 0usize..=1 { + for y in 0usize..=1 { + for borrow in 0usize..=1 { + for control in 0usize..=1 { + for difference in 0usize..=1 { + let final_borrow = (y & borrow) ^ (z & y) ^ (z & borrow); + let enabled_product = control & (1 ^ final_borrow) & difference; + let product_anf = (control & difference) + ^ (control & difference & y & borrow) + ^ (control & difference & z & y) + ^ (control & difference & z & borrow); + assert_eq!(enabled_product, product_anf); + + let high8_difference = 1 ^ z ^ y ^ borrow; + let enabled_high8 = control & (1 ^ final_borrow) & high8_difference; + let high8_anf = control + ^ (control & z) + ^ (control & y) + ^ (control & borrow) + ^ (control & y & borrow) + ^ (control & z & y) + ^ (control & z & borrow) + ^ (control & z & y & borrow); + assert_eq!(enabled_high8, high8_anf); + enabled_anf_cases += 1; + } + } + } + } + } + + let mut bit_lengths_checked = 0usize; + let mut high_bit_identity_checks = 0usize; + let mut same_arithmetic_cases = 0usize; + let mut mixed_arithmetic_cases = 0usize; + for bit_length in 0usize..=259 { + let low = bit_length & 0xf; + let b4 = (16usize..=256) + .step_by(16) + .fold(0usize, |value, threshold| value ^ usize::from(bit_length < threshold)); + let b5 = (32usize..=256) + .step_by(32) + .fold(0usize, |value, threshold| value ^ usize::from(bit_length < threshold)); + let z64 = usize::from(bit_length < 64); + let z128 = usize::from(bit_length < 128); + let z192 = usize::from(bit_length < 192); + let z256 = usize::from(bit_length < 256); + let b6 = z64 ^ z128 ^ z192 ^ z256; + let b7 = z128 ^ z256; + let b8 = 1 ^ z256; + for (actual, expected) in [ + (b4, (bit_length >> 4) & 1), + (b5, (bit_length >> 5) & 1), + (b6, (bit_length >> 6) & 1), + (b7, (bit_length >> 7) & 1), + (b8, (bit_length >> 8) & 1), + ] { + assert_eq!(actual, expected); + high_bit_identity_checks += 1; + } + assert_eq!( + low | (b4 << 4) | (b5 << 5) | (b6 << 6) | (b7 << 7) | (b8 << 8), + bit_length + ); + bit_lengths_checked += 1; + + for (boundary_limit, mixed) in [(512usize, false), (256usize, true)] { + for boundary in 0usize..boundary_limit { + let boundary_low = boundary & 0xf; + let boundary_bits = [ + (boundary >> 4) & 1, + (boundary >> 5) & 1, + (boundary >> 6) & 1, + (boundary >> 7) & 1, + if mixed { 0 } else { (boundary >> 8) & 1 }, + ]; + let length_bits = [b4, b5, b6, b7, b8]; + let mut incoming = usize::from(low < boundary_low); + let low_difference = (low + 16 - boundary_low) & 0xf; + let mut difference = low_difference; + for (offset, (x, y)) in length_bits + .into_iter() + .zip(boundary_bits) + .enumerate() + { + difference |= (x ^ y ^ incoming) << (offset + 4); + incoming = full_subtraction_borrow_anf(x, y, incoming); + } + assert_eq!(incoming, usize::from(bit_length < boundary)); + assert_eq!(difference, bit_length.wrapping_sub(boundary) & 0x1ff); + if mixed { + mixed_arithmetic_cases += 1; + } else { + same_arithmetic_cases += 1; + } + } + } + } + + let high_plain = verify_q827_serial_high_indicator_harness( + &build_q827_serial_high_indicator_harness(false), + false, + ); + let high_complemented = verify_q827_serial_high_indicator_harness( + &build_q827_serial_high_indicator_harness(true), + true, + ); + let reduced_same = + verify_q827_serial_reduced_stage(&build_q827_serial_reduced_stage_harness(false)); + let reduced_mixed = + verify_q827_serial_reduced_stage(&build_q827_serial_reduced_stage_harness(true)); + + Q827SerialSplitFiveProofReport { + borrow_truth_table_cases, + enabled_anf_cases, + bit_lengths_checked, + high_bit_identity_checks, + same_arithmetic_cases, + mixed_arithmetic_cases, + high_indicator_cases: high_plain.0 + high_complemented.0, + high_indicator_inverse_checks: high_plain.1 + high_complemented.1, + high_indicator_source_restore_checks: high_plain.2 + high_complemented.2, + high_indicator_scratch_restore_checks: high_plain.3 + high_complemented.3, + reduced_basis_states_checked: reduced_same.0 + reduced_mixed.0, + reduced_forward_equivalence_checks: reduced_same.1 + reduced_mixed.1, + reduced_inverse_pair_checks: reduced_same.2 + reduced_mixed.2, + reduced_phase_clean_checks: reduced_same.3 + reduced_mixed.3, + reduced_ancilla_clean_checks: reduced_same.4 + reduced_mixed.4, + reduced_dirty_lender_restore_checks: reduced_same.5 + reduced_mixed.5, + } +} + +const Q825_LQ7_PROOF_SOURCE_LANES: usize = 259; +const Q825_LQ7_PROOF_LENGTH_LANES: usize = 4; +const Q825_LQ7_PROOF_OUTPUT_LANES: usize = 9; +const Q825_LQ7_PROOF_SCRATCH_LANES: usize = 8; +const Q825_LQ7_PROOF_SOURCE_CLASSES: usize = 3; +const Q825_LQ7_PROOF_OUTPUT_PATTERNS: usize = 2; + +struct Q825Lq7ComponentHarness { + builder: B, + source_is_complemented: bool, + mixed_boundary: bool, + control_id: u32, + boundary_ids: Vec, + source_ids: Vec, + length_ids: Vec, + output_ids: Vec, + scratch_ids: Vec, + resources: Q825Lq7ComponentRouteResources, +} + +fn build_q825_lq7_component_harness( + source_is_complemented: bool, + mixed_boundary: bool, +) -> Q825Lq7ComponentHarness { + let boundary_lanes = Q825_LQ7_PROOF_OUTPUT_LANES - usize::from(mixed_boundary); + let expected_qubits = 1 + + boundary_lanes + + Q825_LQ7_PROOF_SOURCE_LANES + + Q825_LQ7_PROOF_LENGTH_LANES + + Q825_LQ7_PROOF_OUTPUT_LANES + + Q825_LQ7_PROOF_SCRATCH_LANES; + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q825.lq7-component.control"); + let boundary = circ.alloc_qreg_bits("q825.lq7-component.boundary", boundary_lanes); + let source = + circ.alloc_input_qreg_bits("q825.lq7-component.source", Q825_LQ7_PROOF_SOURCE_LANES); + let length = circ.alloc_qreg_bits("q825.lq7-component.length-low", Q825_LQ7_PROOF_LENGTH_LANES); + let output = circ.alloc_qreg_bits("q825.lq7-component.output", Q825_LQ7_PROOF_OUTPUT_LANES); + let scratch = circ.alloc_qreg_bits("q825.lq7-component.scratch", Q825_LQ7_PROOF_SCRATCH_LANES); + let source_refs = source.iter().collect::>(); + let scratch_refs = scratch.iter().collect::>(); + + controlled_xor_saturating_difference_serial_split_five_one_short( + &mut circ, + &control, + &boundary, + &source_refs, + &length, + &output, + &scratch_refs, + source_is_complemented, + ); + + let control_id = control.id(); + let boundary_ids = boundary.iter().map(QReg::id).collect::>(); + let source_ids = source.iter().map(QReg::id).collect::>(); + let length_ids = length.iter().map(QReg::id).collect::>(); + let output_ids = output.iter().map(QReg::id).collect::>(); + let scratch_ids = scratch.iter().map(QReg::id).collect::>(); + let mut external_ids = std::iter::once(control_id) + .chain(boundary_ids.iter().copied()) + .chain(source_ids.iter().copied()) + .chain(length_ids.iter().copied()) + .chain(output_ids.iter().copied()) + .chain(scratch_ids.iter().copied()) + .collect::>(); + external_ids.sort_unstable(); + external_ids.dedup(); + assert_eq!(external_ids.len(), expected_qubits); + + drop(source_refs); + drop(scratch_refs); + let builder = circ.into_builder(); + let counts = gate_counts(&builder.ops); + assert_eq!(builder.next_qubit as usize, expected_qubits); + assert_eq!(builder.next_bit, 0); + assert_eq!(builder.active_qubits as usize, expected_qubits); + assert_eq!(builder.peak_qubits as usize, expected_qubits); + for operation in &builder.ops { + match operation.kind { + crate::circuit::OperationType::CX => { + assert!(!output_ids.contains(&(operation.q_control1.0 as u32))); + } + crate::circuit::OperationType::CCX => { + assert!(!output_ids.contains(&(operation.q_control1.0 as u32))); + assert!(!output_ids.contains(&(operation.q_control2.0 as u32))); + } + crate::circuit::OperationType::X => {} + other => panic!("Q825 component emitted unexpected operation {other:?}"), + } + } + + let resources = Q825Lq7ComponentRouteResources { + source_is_complemented, + mixed_boundary, + source_lanes: source_ids.len(), + boundary_lanes: boundary_ids.len(), + length_lanes: length_ids.len(), + output_lanes: output_ids.len(), + scratch_lanes: scratch_ids.len(), + active_qubits: builder.active_qubits as usize, + peak_qubits: builder.peak_qubits as usize, + emitted_ops: counts.total, + emitted_x: counts.x, + emitted_cx: counts.cx, + emitted_toffoli: counts.ccx, + }; + + Q825Lq7ComponentHarness { + builder, + source_is_complemented, + mixed_boundary, + control_id, + boundary_ids, + source_ids, + length_ids, + output_ids, + scratch_ids, + resources, + } +} + +fn q825_lq7_source_bit(bit_length: usize, source_class: usize, bit: usize) -> bool { + assert!(bit_length <= Q825_LQ7_PROOF_SOURCE_LANES); + assert!(source_class < Q825_LQ7_PROOF_SOURCE_CLASSES); + assert!(bit < Q825_LQ7_PROOF_SOURCE_LANES); + if bit_length == 0 { + return false; + } + let top = bit_length - 1; + match source_class { + 0 => bit == top, + 1 => bit <= top, + 2 => bit == top || (bit < top && (bit + bit_length) % 3 == 0), + _ => unreachable!(), + } +} + +fn verify_q825_lq7_reachable_identities() -> (usize, usize, usize) { + let mut source_patterns_checked = 0usize; + let mut h7_identity_checks = 0usize; + let mut z128_implies_z256_checks = 0usize; + for bit_length in 0..=Q825_LQ7_PROOF_SOURCE_LANES { + for source_class in 0..Q825_LQ7_PROOF_SOURCE_CLASSES { + let observed_bit_length = (0..Q825_LQ7_PROOF_SOURCE_LANES) + .rev() + .find(|bit| q825_lq7_source_bit(bit_length, source_class, *bit)) + .map_or(0, |top| top + 1); + assert_eq!(observed_bit_length, bit_length); + let z128 = (127..Q825_LQ7_PROOF_SOURCE_LANES) + .all(|bit| !q825_lq7_source_bit(bit_length, source_class, bit)); + let z256 = (255..Q825_LQ7_PROOF_SOURCE_LANES) + .all(|bit| !q825_lq7_source_bit(bit_length, source_class, bit)); + let h7 = ((bit_length >> 7) & 1) != 0; + assert_eq!(h7, z128 ^ z256); + assert!(!z128 || z256); + source_patterns_checked += 1; + h7_identity_checks += 1; + z128_implies_z256_checks += 1; + } + } + ( + source_patterns_checked, + h7_identity_checks, + z128_implies_z256_checks, + ) +} + +fn verify_q825_lq7_boolean_identities() -> (usize, usize, usize, usize) { + let mut borrow_identity_cases = 0usize; + let mut borrow_factor_cases = 0usize; + for h7 in 0usize..=1 { + for boundary_high7 in 0usize..=1 { + for incoming_borrow in 0usize..=1 { + let semantic = usize::from(2 * h7 < 2 * boundary_high7 + incoming_borrow); + let anf = boundary_high7 + ^ incoming_borrow + ^ (boundary_high7 & incoming_borrow) + ^ (h7 & boundary_high7) + ^ (h7 & incoming_borrow); + assert_eq!(semantic, anf); + assert_eq!( + (h7 & boundary_high7) ^ (h7 & incoming_borrow), + h7 & (boundary_high7 ^ incoming_borrow) + ); + borrow_identity_cases += 1; + borrow_factor_cases += 1; + } + } + } + + let reachable_h7_z256 = [(0usize, 0usize), (0, 1), (1, 1)]; + let mut same_enabled_product_cases = 0usize; + let mut mixed_enabled_product_cases = 0usize; + for (h7, z256) in reachable_h7_z256 { + assert!(h7 == 0 || z256 == 1); + let length_high8 = 1 ^ z256; + for boundary_high8 in 0usize..=1 { + for high7_borrow in 0usize..=1 { + for control in 0usize..=1 { + let final_borrow = + full_subtraction_borrow_anf(length_high8, boundary_high8, high7_borrow); + let semantic = control & h7 & (1 ^ final_borrow); + let unfactored = (control & h7) + ^ (control & h7 & boundary_high8 & high7_borrow) + ^ (control & h7 & z256 & boundary_high8) + ^ (control & h7 & z256 & high7_borrow); + let factored = control & h7 & (1 ^ boundary_high8) & (1 ^ high7_borrow); + assert_eq!(semantic, unfactored); + assert_eq!(semantic, factored); + same_enabled_product_cases += 1; + } + } + } + for high7_borrow in 0usize..=1 { + for control in 0usize..=1 { + let final_borrow = full_subtraction_borrow_anf(length_high8, 0, high7_borrow); + let semantic = control & h7 & (1 ^ final_borrow); + let unfactored = (control & h7) ^ (control & h7 & z256 & high7_borrow); + let factored = control & h7 & (1 ^ high7_borrow); + assert_eq!(semantic, unfactored); + assert_eq!(semantic, factored); + mixed_enabled_product_cases += 1; + } + } + } + ( + borrow_identity_cases, + borrow_factor_cases, + same_enabled_product_cases, + mixed_enabled_product_cases, + ) +} + +#[derive(Clone, Copy)] +struct Q825Lq7ComponentCase { + bit_length: usize, + source_class: usize, + boundary: usize, + control: bool, + initial_output: usize, +} + +fn q825_lq7_boundary_values(bit_length: usize, mixed_boundary: bool) -> Vec { + let limit: usize = if mixed_boundary { 0xff } else { 0x1ff }; + let candidates = [ + Some(0), + Some(1), + bit_length.checked_sub(1), + Some(bit_length), + bit_length.checked_add(1), + limit.checked_sub(1), + Some(limit), + ]; + let mut values = candidates + .into_iter() + .flatten() + .filter(|value| *value <= limit) + .collect::>(); + values.sort_unstable(); + values.dedup(); + values +} + +fn q825_lq7_nonzero_output( + bit_length: usize, + source_class: usize, + boundary: usize, + mixed_boundary: bool, +) -> usize { + let mixed_tag = if mixed_boundary { 0x12dusize } else { 0x0b7 }; + let value = (bit_length.wrapping_mul(0x9d) + ^ source_class.wrapping_mul(0x67) + ^ boundary.wrapping_mul(0x35) + ^ mixed_tag) + & 0x1ff; + value.max(1) +} + +fn q825_lq7_component_cases(mixed_boundary: bool) -> Vec { + let mut cases = Vec::new(); + for bit_length in 0..=Q825_LQ7_PROOF_SOURCE_LANES { + for source_class in 0..Q825_LQ7_PROOF_SOURCE_CLASSES { + for boundary in q825_lq7_boundary_values(bit_length, mixed_boundary) { + for control in [false, true] { + for initial_output in [ + 0, + q825_lq7_nonzero_output(bit_length, source_class, boundary, mixed_boundary), + ] { + cases.push(Q825Lq7ComponentCase { + bit_length, + source_class, + boundary, + control, + initial_output, + }); + } + } + } + } + } + cases +} + +#[derive(Default)] +struct Q825Lq7ComponentVerification { + cases_checked: usize, + oracle_output_checks: usize, + control_off_checks: usize, + nonzero_output_cases: usize, + source_lane_preservation_checks: usize, + boundary_lane_preservation_checks: usize, + control_preservation_checks: usize, + length_lane_preservation_checks: usize, + scratch_lane_restoration_checks: usize, + phase_clean_checks: usize, + inverse_pair_checks: usize, +} + +fn verify_q825_lq7_component_harness( + harness: &Q825Lq7ComponentHarness, +) -> Q825Lq7ComponentVerification { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::digest::{ExtendableOutput, Update}; + + let cases = q825_lq7_component_cases(harness.mixed_boundary); + let mut verification = Q825Lq7ComponentVerification::default(); + for (batch_index, batch) in cases.chunks(64).enumerate() { + let live = if batch.len() == 64 { + u64::MAX + } else { + (1u64 << batch.len()) - 1 + }; + let mut seed = sha3::Shake128::default(); + seed.update(b"q825-lq7-component-proof-v1"); + seed.update(&[u8::from(harness.source_is_complemented)]); + seed.update(&[u8::from(harness.mixed_boundary)]); + seed.update(&(batch_index as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + + for (shot, case) in batch.iter().enumerate() { + let shot_mask = 1u64 << shot; + if case.control { + *simulator.qubit_mut(QubitId(u64::from(harness.control_id))) |= shot_mask; + } + for (bit, id) in harness.boundary_ids.iter().copied().enumerate() { + if ((case.boundary >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (bit, id) in harness.source_ids.iter().copied().enumerate() { + let logical = q825_lq7_source_bit(case.bit_length, case.source_class, bit); + if logical ^ harness.source_is_complemented { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (bit, id) in harness.length_ids.iter().copied().enumerate() { + if ((case.bit_length >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (offset, id) in harness.scratch_ids[5..].iter().copied().enumerate() { + if ((case.bit_length >> (offset + 4)) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (bit, id) in harness.output_ids.iter().copied().enumerate() { + if ((case.initial_output >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + } + let initial = simulator.qubits.clone(); + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase & live, 0); + + for (shot, case) in batch.iter().enumerate() { + let output = harness + .output_ids + .iter() + .enumerate() + .fold(0usize, |word, (bit, id)| { + word | ((((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) as usize) + << bit) + }); + let difference = if case.control && case.bit_length >= case.boundary { + case.bit_length - case.boundary + } else { + 0 + }; + assert_eq!(output, case.initial_output ^ difference); + verification.oracle_output_checks += 1; + verification.control_off_checks += usize::from(!case.control); + verification.nonzero_output_cases += usize::from(case.initial_output != 0); + } + for id in &harness.source_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + for id in &harness.boundary_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + assert_eq!( + simulator.qubit(QubitId(u64::from(harness.control_id))) & live, + initial[harness.control_id as usize] & live + ); + for id in &harness.length_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + for id in &harness.scratch_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + verification.cases_checked += batch.len(); + verification.source_lane_preservation_checks += batch.len() * harness.source_ids.len(); + verification.boundary_lane_preservation_checks += batch.len() * harness.boundary_ids.len(); + verification.control_preservation_checks += batch.len(); + verification.length_lane_preservation_checks += batch.len() * harness.length_ids.len(); + verification.scratch_lane_restoration_checks += batch.len() * harness.scratch_ids.len(); + verification.phase_clean_checks += batch.len(); + + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase & live, 0); + for (id, expected) in initial.iter().copied().enumerate() { + assert_eq!(simulator.qubit(QubitId(id as u64)) & live, expected & live); + } + verification.phase_clean_checks += batch.len(); + verification.inverse_pair_checks += batch.len(); + } + verification +} + +/// Run a bounded proof of the exact Q825 split-five one-short component. +/// +/// The domain contains all source bit lengths `0..=259`, three deterministic +/// source representatives per bit length, both physical complement modes, +/// same- and mixed-width boundaries sampled at `0`, `1`, `length +/- 1`, +/// `length`, and the representable upper edge, both controls, and zero plus a +/// deterministic nonzero initial output. The returned counts state the exact +/// domain size; this function does not claim universal all-input correctness. +#[must_use] +pub fn q825_lq7_component_bounded_proof() -> Q825Lq7ComponentProofReport { + assert!( + std::env::var_os("POINT_ADD_COUNT_ONLY").is_none(), + "the Q825 component proof requires an emitted operation stream" + ); + + let (source_patterns_checked, h7_identity_checks, z128_implies_z256_checks) = + verify_q825_lq7_reachable_identities(); + let ( + borrow_identity_cases, + borrow_factor_cases, + same_enabled_product_cases, + mixed_enabled_product_cases, + ) = verify_q825_lq7_boolean_identities(); + + let mut same_boundary_cases_checked = 0usize; + let mut mixed_boundary_cases_checked = 0usize; + let mut aggregate = Q825Lq7ComponentVerification::default(); + let mut same_plain = None; + let mut same_complemented = None; + let mut mixed_plain = None; + let mut mixed_complemented = None; + let mut production_configurations_checked = 0usize; + for source_is_complemented in [false, true] { + for mixed_boundary in [false, true] { + let harness = build_q825_lq7_component_harness(source_is_complemented, mixed_boundary); + let verification = verify_q825_lq7_component_harness(&harness); + if mixed_boundary { + mixed_boundary_cases_checked += verification.cases_checked; + } else { + same_boundary_cases_checked += verification.cases_checked; + } + aggregate.cases_checked += verification.cases_checked; + aggregate.oracle_output_checks += verification.oracle_output_checks; + aggregate.control_off_checks += verification.control_off_checks; + aggregate.nonzero_output_cases += verification.nonzero_output_cases; + aggregate.source_lane_preservation_checks += + verification.source_lane_preservation_checks; + aggregate.boundary_lane_preservation_checks += + verification.boundary_lane_preservation_checks; + aggregate.control_preservation_checks += verification.control_preservation_checks; + aggregate.length_lane_preservation_checks += + verification.length_lane_preservation_checks; + aggregate.scratch_lane_restoration_checks += + verification.scratch_lane_restoration_checks; + aggregate.phase_clean_checks += verification.phase_clean_checks; + aggregate.inverse_pair_checks += verification.inverse_pair_checks; + match (source_is_complemented, mixed_boundary) { + (false, false) => same_plain = Some(harness.resources), + (true, false) => same_complemented = Some(harness.resources), + (false, true) => mixed_plain = Some(harness.resources), + (true, true) => mixed_complemented = Some(harness.resources), + } + production_configurations_checked += 1; + } + } + + let same_plain = same_plain.expect("same/plain Q825 component resources"); + let same_complemented = same_complemented.expect("same/complemented Q825 component resources"); + let mixed_plain = mixed_plain.expect("mixed/plain Q825 component resources"); + let mixed_complemented = + mixed_complemented.expect("mixed/complemented Q825 component resources"); + for (plain, complemented) in [ + (same_plain, same_complemented), + (mixed_plain, mixed_complemented), + ] { + assert_eq!(plain.active_qubits, complemented.active_qubits); + assert_eq!(plain.peak_qubits, complemented.peak_qubits); + assert_eq!(plain.emitted_cx, complemented.emitted_cx); + assert_eq!(plain.emitted_toffoli, complemented.emitted_toffoli); + assert!(plain.emitted_x > complemented.emitted_x); + } + assert_eq!(production_configurations_checked, 4); + assert_eq!(aggregate.oracle_output_checks, aggregate.cases_checked); + assert_eq!(aggregate.inverse_pair_checks, aggregate.cases_checked); + assert_eq!(aggregate.phase_clean_checks, 2 * aggregate.cases_checked); + assert_eq!( + aggregate.source_lane_preservation_checks, + aggregate.cases_checked * Q825_LQ7_PROOF_SOURCE_LANES + ); + assert_eq!( + aggregate.length_lane_preservation_checks, + aggregate.cases_checked * Q825_LQ7_PROOF_LENGTH_LANES + ); + assert_eq!( + aggregate.scratch_lane_restoration_checks, + aggregate.cases_checked * Q825_LQ7_PROOF_SCRATCH_LANES + ); + + Q825Lq7ComponentProofReport { + schema: Q825_LQ7_COMPONENT_PROOF_SCHEMA, + source_lanes: Q825_LQ7_PROOF_SOURCE_LANES, + scratch_lanes: Q825_LQ7_PROOF_SCRATCH_LANES, + source_bit_lengths_checked: Q825_LQ7_PROOF_SOURCE_LANES + 1, + source_classes_checked: Q825_LQ7_PROOF_SOURCE_CLASSES, + source_patterns_checked, + complement_modes_checked: 2, + boundary_forms_checked: 2, + control_values_checked: 2, + output_patterns_checked: Q825_LQ7_PROOF_OUTPUT_PATTERNS, + h7_identity_checks, + z128_implies_z256_checks, + borrow_identity_cases, + borrow_factor_cases, + same_enabled_product_cases, + mixed_enabled_product_cases, + production_configurations_checked, + same_boundary_cases_checked, + mixed_boundary_cases_checked, + production_cases_checked: aggregate.cases_checked, + oracle_output_checks: aggregate.oracle_output_checks, + control_off_checks: aggregate.control_off_checks, + nonzero_output_cases: aggregate.nonzero_output_cases, + source_lane_preservation_checks: aggregate.source_lane_preservation_checks, + boundary_lane_preservation_checks: aggregate.boundary_lane_preservation_checks, + control_preservation_checks: aggregate.control_preservation_checks, + length_lane_preservation_checks: aggregate.length_lane_preservation_checks, + scratch_lane_restoration_checks: aggregate.scratch_lane_restoration_checks, + phase_clean_checks: aggregate.phase_clean_checks, + inverse_pair_checks: aggregate.inverse_pair_checks, + allocation_free_shape_checks: production_configurations_checked, + output_target_only_stream_checks: production_configurations_checked, + same_plain, + same_complemented, + mixed_plain, + mixed_complemented, + } +} + +fn build_q825_lq6_truncated_component_harness( + source_is_complemented: bool, +) -> Q825Lq7ComponentHarness { + const OUTPUT_LANES: usize = 8; + const BOUNDARY_LANES: usize = OUTPUT_LANES + 1; + let expected_qubits = 1 + + BOUNDARY_LANES + + Q825_LQ7_PROOF_SOURCE_LANES + + Q825_LQ7_PROOF_LENGTH_LANES + + OUTPUT_LANES + + Q825_LQ7_PROOF_SCRATCH_LANES; + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q825.lq6-truncated.control"); + let boundary = circ.alloc_qreg_bits("q825.lq6-truncated.boundary", BOUNDARY_LANES); + let source = + circ.alloc_input_qreg_bits("q825.lq6-truncated.source", Q825_LQ7_PROOF_SOURCE_LANES); + let length = + circ.alloc_qreg_bits("q825.lq6-truncated.length-low", Q825_LQ7_PROOF_LENGTH_LANES); + let output = circ.alloc_qreg_bits("q825.lq6-truncated.output", OUTPUT_LANES); + let scratch = circ.alloc_qreg_bits( + "q825.lq6-truncated.scratch", + Q825_LQ7_PROOF_SCRATCH_LANES, + ); + let source_refs = source.iter().collect::>(); + let scratch_refs = scratch.iter().collect::>(); + + controlled_xor_saturating_difference_serial_split_five_one_short_truncated_high( + &mut circ, + &control, + &boundary, + &source_refs, + &length, + &output, + &scratch_refs, + source_is_complemented, + ); + + let control_id = control.id(); + let boundary_ids = boundary.iter().map(QReg::id).collect::>(); + let source_ids = source.iter().map(QReg::id).collect::>(); + let length_ids = length.iter().map(QReg::id).collect::>(); + let output_ids = output.iter().map(QReg::id).collect::>(); + let scratch_ids = scratch.iter().map(QReg::id).collect::>(); + let mut external_ids = std::iter::once(control_id) + .chain(boundary_ids.iter().copied()) + .chain(source_ids.iter().copied()) + .chain(length_ids.iter().copied()) + .chain(output_ids.iter().copied()) + .chain(scratch_ids.iter().copied()) + .collect::>(); + external_ids.sort_unstable(); + external_ids.dedup(); + assert_eq!(external_ids.len(), expected_qubits); + + drop(source_refs); + drop(scratch_refs); + let builder = circ.into_builder(); + let counts = gate_counts(&builder.ops); + assert_eq!(builder.next_qubit as usize, expected_qubits); + assert_eq!(builder.next_bit, 0); + assert_eq!(builder.active_qubits as usize, expected_qubits); + assert_eq!(builder.peak_qubits as usize, expected_qubits); + for operation in &builder.ops { + match operation.kind { + crate::circuit::OperationType::CX => { + assert!(!output_ids.contains(&(operation.q_control1.0 as u32))); + } + crate::circuit::OperationType::CCX => { + assert!(!output_ids.contains(&(operation.q_control1.0 as u32))); + assert!(!output_ids.contains(&(operation.q_control2.0 as u32))); + } + crate::circuit::OperationType::X => {} + other => panic!("Q825 truncated component emitted unexpected operation {other:?}"), + } + } + + let resources = Q825Lq7ComponentRouteResources { + source_is_complemented, + mixed_boundary: false, + source_lanes: source_ids.len(), + boundary_lanes: boundary_ids.len(), + length_lanes: length_ids.len(), + output_lanes: output_ids.len(), + scratch_lanes: scratch_ids.len(), + active_qubits: builder.active_qubits as usize, + peak_qubits: builder.peak_qubits as usize, + emitted_ops: counts.total, + emitted_x: counts.x, + emitted_cx: counts.cx, + emitted_toffoli: counts.ccx, + }; + + Q825Lq7ComponentHarness { + builder, + source_is_complemented, + mixed_boundary: false, + control_id, + boundary_ids, + source_ids, + length_ids, + output_ids, + scratch_ids, + resources, + } +} + +fn q825_lq6_truncated_component_cases() -> Vec { + let mut cases = Vec::new(); + for bit_length in 0..=Q825_LQ7_PROOF_SOURCE_LANES { + for source_class in 0..Q825_LQ7_PROOF_SOURCE_CLASSES { + for boundary in q825_lq7_boundary_values(bit_length, false) { + for control in [false, true] { + let difference = if control && bit_length >= boundary { + bit_length - boundary + } else { + 0 + }; + if difference >= 256 { + continue; + } + let nonzero_output = + (q825_lq7_nonzero_output(bit_length, source_class, boundary, false) + & 0xff) + .max(1); + for initial_output in [0, nonzero_output] { + cases.push(Q825Lq7ComponentCase { + bit_length, + source_class, + boundary, + control, + initial_output, + }); + } + } + } + } + } + cases +} + +fn verify_q825_lq6_truncated_component_harness( + harness: &Q825Lq7ComponentHarness, +) -> Q825Lq7ComponentVerification { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::digest::{ExtendableOutput, Update}; + + let cases = q825_lq6_truncated_component_cases(); + let mut verification = Q825Lq7ComponentVerification::default(); + for (batch_index, batch) in cases.chunks(64).enumerate() { + let live = if batch.len() == 64 { + u64::MAX + } else { + (1u64 << batch.len()) - 1 + }; + let mut seed = sha3::Shake128::default(); + seed.update(b"q825-lq6-truncated-component-proof-v1"); + seed.update(&[u8::from(harness.source_is_complemented)]); + seed.update(&(batch_index as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + + for (shot, case) in batch.iter().enumerate() { + let shot_mask = 1u64 << shot; + if case.control { + *simulator.qubit_mut(QubitId(u64::from(harness.control_id))) |= shot_mask; + } + for (bit, id) in harness.boundary_ids.iter().copied().enumerate() { + if ((case.boundary >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (bit, id) in harness.source_ids.iter().copied().enumerate() { + let logical = q825_lq7_source_bit(case.bit_length, case.source_class, bit); + if logical ^ harness.source_is_complemented { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (bit, id) in harness.length_ids.iter().copied().enumerate() { + if ((case.bit_length >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (offset, id) in harness.scratch_ids[5..].iter().copied().enumerate() { + if ((case.bit_length >> (offset + 4)) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + for (bit, id) in harness.output_ids.iter().copied().enumerate() { + if ((case.initial_output >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= shot_mask; + } + } + } + let initial = simulator.qubits.clone(); + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase & live, 0, "truncated component phase"); + + for (shot, case) in batch.iter().enumerate() { + let output = + harness + .output_ids + .iter() + .enumerate() + .fold(0usize, |word, (bit, id)| { + word | ((((simulator.qubit(QubitId(u64::from(*id))) >> shot) & 1) + as usize) + << bit) + }); + let difference = if case.control && case.bit_length >= case.boundary { + case.bit_length - case.boundary + } else { + 0 + }; + assert!( + difference < 256, + "test case left the truncated-high promise" + ); + assert_eq!( + output, + case.initial_output ^ difference, + "lq6 truncated component bit_length={} source_class={} boundary={} control={} initial_output={}", + case.bit_length, + case.source_class, + case.boundary, + case.control, + case.initial_output + ); + verification.oracle_output_checks += 1; + verification.control_off_checks += usize::from(!case.control); + verification.nonzero_output_cases += usize::from(case.initial_output != 0); + } + for id in &harness.source_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + for id in &harness.boundary_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + assert_eq!( + simulator.qubit(QubitId(u64::from(harness.control_id))) & live, + initial[harness.control_id as usize] & live + ); + for id in &harness.length_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + for id in &harness.scratch_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))) & live, + initial[*id as usize] & live + ); + } + verification.cases_checked += batch.len(); + verification.source_lane_preservation_checks += batch.len() * harness.source_ids.len(); + verification.boundary_lane_preservation_checks += batch.len() * harness.boundary_ids.len(); + verification.control_preservation_checks += batch.len(); + verification.length_lane_preservation_checks += batch.len() * harness.length_ids.len(); + verification.scratch_lane_restoration_checks += batch.len() * harness.scratch_ids.len(); + verification.phase_clean_checks += batch.len(); + + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase & live, 0); + for (id, expected) in initial.iter().copied().enumerate() { + assert_eq!(simulator.qubit(QubitId(id as u64)) & live, expected & live); + } + verification.phase_clean_checks += batch.len(); + verification.inverse_pair_checks += batch.len(); + } + verification +} + +#[must_use] +fn q825_lq6_truncated_component_bounded_proof() -> Q825Lq7ComponentVerification { + let mut aggregate = Q825Lq7ComponentVerification::default(); + for source_is_complemented in [false, true] { + let harness = build_q825_lq6_truncated_component_harness(source_is_complemented); + let verification = verify_q825_lq6_truncated_component_harness(&harness); + aggregate.cases_checked += verification.cases_checked; + aggregate.oracle_output_checks += verification.oracle_output_checks; + aggregate.control_off_checks += verification.control_off_checks; + aggregate.nonzero_output_cases += verification.nonzero_output_cases; + aggregate.source_lane_preservation_checks += verification.source_lane_preservation_checks; + aggregate.boundary_lane_preservation_checks += + verification.boundary_lane_preservation_checks; + aggregate.control_preservation_checks += verification.control_preservation_checks; + aggregate.length_lane_preservation_checks += verification.length_lane_preservation_checks; + aggregate.scratch_lane_restoration_checks += verification.scratch_lane_restoration_checks; + aggregate.phase_clean_checks += verification.phase_clean_checks; + aggregate.inverse_pair_checks += verification.inverse_pair_checks; + } + assert_eq!(aggregate.oracle_output_checks, aggregate.cases_checked); + assert_eq!(aggregate.inverse_pair_checks, aggregate.cases_checked); + aggregate +} + +#[doc(hidden)] +#[must_use] +pub fn q825_lq6_truncated_component_bounded_proof_summary() -> (usize, usize, usize) { + let report = q825_lq6_truncated_component_bounded_proof(); + ( + report.cases_checked, + report.phase_clean_checks, + report.inverse_pair_checks, + ) +} + +#[cfg(test)] +mod q825_lq6_truncated_component_tests { + #[test] + fn production_truncated_high_component() { + let report = super::q825_lq6_truncated_component_bounded_proof(); + assert!(report.cases_checked > 0); + assert_eq!(report.oracle_output_checks, report.cases_checked); + assert_eq!(report.inverse_pair_checks, report.cases_checked); + } +} + +/// Prove the exact cancellation +/// +/// `X_S K_add X_S V X_S K_sub X_S = X_S K_add V K_sub X_S` +/// +/// for the fused direct-prefix bit-length route. The reduced-width sweep +/// covers both boundary representations, owned and seven-lane borrowed +/// scratch, both arithmetic routes, every external basis state, phase +/// cleanliness, inverse pairing, and complete scratch restoration. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_paired_bitlength_source_complement_check( +) -> PairedBitLengthSourceComplementProofReport { + use crate::circuit::OperationType; + + const OUTPUT_WIDTH: usize = 3; + const MAX_SOURCE_WIDTH: usize = 5; + const LOCAL_SOURCE_WIDTH: usize = 259; + const LOCAL_OUTPUT_WIDTH: usize = REFERENCE_LENGTH_WIDTH; + const LOCAL_BOUNDARY_WIDTH: usize = REFERENCE_R_LENGTH_WIDTH; + + assert_ne!( + std::env::var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG) + .ok() + .as_deref(), + Some("1"), + "paired source complement must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + let source_widths = 2usize..=MAX_SOURCE_WIDTH; + let boundary_forms = [false, true]; + let scratch_modes = [(0usize, false), (7usize, true)]; + let routes = [ + SaturatingDifferenceBoundaryRoute::Materialized, + SaturatingDifferenceBoundaryRoute::Inplace, + ]; + + let mut configurations_checked = 0usize; + let mut basis_states_checked = 0usize; + let mut oracle_checks = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_checks = 0usize; + let mut source_restore_checks = 0usize; + let mut boundary_restore_checks = 0usize; + let mut borrowed_scratch_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut default_stream_identity_checks = 0usize; + let mut non_x_kind_identity_checks = 0usize; + + for source_width in source_widths.clone() { + for mixed_boundary in boundary_forms { + let boundary_width = OUTPUT_WIDTH - usize::from(mixed_boundary); + for (scratch_lanes, prefix_scratch_loan) in scratch_modes { + configure_paired_bitlength_source_complement_proof( + prefix_scratch_loan, + false, + ); + for route in routes { + let default = build_paired_bitlength_source_complement_harness( + OUTPUT_WIDTH, + source_width, + scratch_lanes, + route, + mixed_boundary, + None, + ); + let baseline = build_paired_bitlength_source_complement_harness( + OUTPUT_WIDTH, + source_width, + scratch_lanes, + route, + mixed_boundary, + Some(false), + ); + let optimized = build_paired_bitlength_source_complement_harness( + OUTPUT_WIDTH, + source_width, + scratch_lanes, + route, + mixed_boundary, + Some(true), + ); + assert_inplace_rotated_boundary_stream_identity(&default, &baseline); + default_stream_identity_checks += 1; + assert_eq!(baseline.data_ids, optimized.data_ids); + assert_eq!(baseline.builder.active_qubits, optimized.builder.active_qubits); + assert_eq!(baseline.builder.peak_qubits, optimized.builder.peak_qubits); + assert_eq!( + baseline.builder.ops.len() - optimized.builder.ops.len(), + 2 * source_width + ); + assert_eq!( + baseline.builder.counted_kind_ops[OperationType::X as usize] + - optimized.builder.counted_kind_ops[OperationType::X as usize], + 2 * source_width + ); + for kind in 0..baseline.builder.counted_kind_ops.len() { + if kind != OperationType::X as usize { + assert_eq!( + baseline.builder.counted_kind_ops[kind], + optimized.builder.counted_kind_ops[kind] + ); + non_x_kind_identity_checks += 1; + } + } + + let (simulator_cases, simulator_phases) = + verify_inplace_rotated_boundary_simulator_equivalence( + &baseline, + &optimized, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += simulator_phases; + + let data_states = 1u64 << baseline.data_ids.len(); + let boundary_mask = (1u64 << boundary_width) - 1; + let source_mask = (1u64 << source_width) - 1; + let output_mask = (1u64 << OUTPUT_WIDTH) - 1; + let boundary_ids = &baseline.data_ids[1..1 + boundary_width]; + let source_start = 1 + boundary_width; + let source_ids = &baseline.data_ids[source_start..source_start + source_width]; + let output_ids = &baseline.data_ids[source_start + source_width..]; + for value in 0..data_states { + let input = inplace_rotated_boundary_input(&baseline, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let optimized_output = apply_scalar(&optimized.builder.ops, input); + assert_eq!(optimized_output, baseline_output); + assert_inplace_rotated_boundary_clean( + &baseline, + baseline_output, + "paired-complement baseline", + ); + assert_inplace_rotated_boundary_clean( + &optimized, + optimized_output, + "paired-complement optimized", + ); + + let control = value & 1; + let boundary = (value >> 1) & boundary_mask; + let source = (value >> (1 + boundary_width)) & source_mask; + let output = + (value >> (1 + boundary_width + source_width)) & output_mask; + let difference = (bit_length_usize(source as usize) as u64) + .saturating_sub(boundary); + let expected_output = output ^ if control == 1 { difference } else { 0 }; + for state in [baseline_output, optimized_output] { + assert_eq!(read_paired_bitlength_register(state, source_ids), source); + assert_eq!( + read_paired_bitlength_register(state, boundary_ids), + boundary + ); + assert_eq!( + read_paired_bitlength_register(state, output_ids), + expected_output + ); + } + oracle_checks += 2; + source_restore_checks += 2; + boundary_restore_checks += 2; + if control == 0 { + assert_eq!(expected_output, output); + control_off_checks += 1; + } + assert_eq!( + apply_scalar(&baseline.builder.ops, baseline_output), + input + ); + assert_eq!( + apply_scalar(&optimized.builder.ops, optimized_output), + input + ); + inverse_pair_checks += 2; + if scratch_lanes != 0 { + borrowed_scratch_clean_checks += 2; + } + ancilla_clean_checks += 2; + scalar_equivalence_checks += 1; + basis_states_checked += 1; + } + configurations_checked += 1; + } + } + } + } + + configure_paired_bitlength_source_complement_proof(true, true); + let local_baseline_harness = build_paired_bitlength_source_complement_harness( + LOCAL_OUTPUT_WIDTH, + LOCAL_SOURCE_WIDTH, + 7, + SaturatingDifferenceBoundaryRoute::Configured, + true, + Some(false), + ); + let local_optimized_harness = build_paired_bitlength_source_complement_harness( + LOCAL_OUTPUT_WIDTH, + LOCAL_SOURCE_WIDTH, + 7, + SaturatingDifferenceBoundaryRoute::Configured, + true, + Some(true), + ); + let local_baseline = + paired_bitlength_source_complement_local_resources(&local_baseline_harness); + let local_optimized = + paired_bitlength_source_complement_local_resources(&local_optimized_harness); + assert_eq!(local_baseline.active_qubits, local_optimized.active_qubits); + assert_eq!(local_baseline.peak_qubits, local_optimized.peak_qubits); + assert_eq!( + local_baseline.emitted_ops - local_optimized.emitted_ops, + 2 * LOCAL_SOURCE_WIDTH + ); + assert_eq!( + local_baseline.emitted_x - local_optimized.emitted_x, + 2 * LOCAL_SOURCE_WIDTH + ); + assert_eq!( + local_baseline.emitted_toffoli, + local_optimized.emitted_toffoli + ); + + PairedBitLengthSourceComplementProofReport { + source_widths_checked: source_widths.count(), + maximum_source_width: MAX_SOURCE_WIDTH, + boundary_forms_checked: boundary_forms.len(), + scratch_modes_checked: scratch_modes.len(), + boundary_routes_checked: routes.len(), + configurations_checked, + basis_states_checked, + oracle_checks, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + control_off_checks, + source_restore_checks, + boundary_restore_checks, + borrowed_scratch_clean_checks, + ancilla_clean_checks, + default_stream_identity_checks, + non_x_kind_identity_checks, + local_source_width: LOCAL_SOURCE_WIDTH, + local_output_width: LOCAL_OUTPUT_WIDTH, + local_boundary_width: LOCAL_BOUNDARY_WIDTH, + local_baseline, + local_optimized, + local_qubit_delta: local_optimized.peak_qubits as i64 + - local_baseline.peak_qubits as i64, + local_ops_delta: local_optimized.emitted_ops as i64 - local_baseline.emitted_ops as i64, + local_x_delta: local_optimized.emitted_x as i64 - local_baseline.emitted_x as i64, + local_toffoli_delta: local_optimized.emitted_toffoli as i64 + - local_baseline.emitted_toffoli as i64, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum CoefficientBracketBody { + AddForward, + AddReverse, + SubForward, + SubReverse, +} + +impl CoefficientBracketBody { + fn inverse(self) -> Self { + match self { + Self::AddForward => Self::SubReverse, + Self::AddReverse => Self::SubForward, + Self::SubForward => Self::AddReverse, + Self::SubReverse => Self::AddForward, + } + } +} + +const COEFFICIENT_BRACKET_BODIES: [CoefficientBracketBody; 4] = [ + CoefficientBracketBody::AddForward, + CoefficientBracketBody::AddReverse, + CoefficientBracketBody::SubForward, + CoefficientBracketBody::SubReverse, +]; + +#[allow(clippy::too_many_arguments)] +fn emit_coefficient_bracket_body( + circ: &mut Circuit, + body: CoefficientBracketBody, + active: &QReg, + carry: &QReg, + work1: &QReg, + work2: &QReg, + tmp: &QReg, +) { + match body { + CoefficientBracketBody::AddForward => { + circ.ccx(active, carry, work2); + circ.ccx(active, carry, work1); + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + } + CoefficientBracketBody::AddReverse => { + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, work1); + circ.ccx(active, work1, work2); + } + CoefficientBracketBody::SubForward => { + circ.ccx(active, work1, work2); + circ.ccx(active, carry, work1); + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + } + CoefficientBracketBody::SubReverse => { + multi_controlled_x_vchain( + circ, + &[active, work1, work2], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, work1); + circ.ccx(active, carry, work2); + } + } +} + +struct CoefficientBracketHarness { + builder: B, + data_ids: Vec, + cursor_mask: u64, + active_mask: u64, + tmp_id: u32, +} + +fn set_coefficient_nonnegative_x_cancel_proof_mode(enabled: Option) { + match enabled { + Some(true) => std::env::set_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, "1"), + Some(false) => std::env::set_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, "0"), + None => std::env::remove_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG), + } +} + +fn build_coefficient_bracket_harness( + cursor_width: usize, + body: CoefficientBracketBody, + enabled: Option, +) -> CoefficientBracketHarness { + assert!(cursor_width > 0); + set_coefficient_nonnegative_x_cancel_proof_mode(enabled); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.coeff-xcancel-proof.control"); + let cursor = circ.alloc_qreg_bits("rs.coeff-xcancel-proof.cursor", cursor_width); + let active = circ.alloc_qreg("rs.coeff-xcancel-proof.active"); + let carry = circ.alloc_qreg("rs.coeff-xcancel-proof.carry"); + let work1 = circ.alloc_qreg("rs.coeff-xcancel-proof.work1"); + let work2 = circ.alloc_qreg("rs.coeff-xcancel-proof.work2"); + let tmp = circ.alloc_qreg("rs.coeff-xcancel-proof.tmp"); + let bracket = production_coefficient_nonnegative_bracket(); + begin_coefficient_nonnegative_bracket(&mut circ, &control, &cursor, &active, bracket); + emit_coefficient_bracket_body( + &mut circ, + body, + &active, + &carry, + &work1, + &work2, + &tmp, + ); + end_coefficient_nonnegative_bracket(&mut circ, &control, &cursor, &active, bracket); + + let data_ids: Vec = std::iter::once(&control) + .chain(&cursor) + .chain([&active, &carry, &work1, &work2]) + .map(QReg::id) + .collect(); + CoefficientBracketHarness { + builder: circ.into_builder(), + data_ids, + cursor_mask: qreg_mask(&cursor), + active_mask: 1u64 << active.id(), + tmp_id: tmp.id(), + } +} + +fn assert_coefficient_bracket_stream_identity( + left: &CoefficientBracketHarness, + right: &CoefficientBracketHarness, +) { + assert_eq!(left.builder.ops, right.builder.ops); + assert_eq!(left.builder.next_qubit, right.builder.next_qubit); + assert_eq!(left.builder.next_bit, right.builder.next_bit); + assert_eq!(left.builder.active_qubits, right.builder.active_qubits); + assert_eq!(left.builder.peak_qubits, right.builder.peak_qubits); + assert_eq!(left.builder.free_qubits, right.builder.free_qubits); + assert_eq!(left.builder.allocation_serial, right.builder.allocation_serial); +} + +fn coefficient_bracket_input(harness: &CoefficientBracketHarness, value: u64) -> u64 { + harness + .data_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +fn verify_coefficient_bracket_simulator_equivalence( + baseline: &CoefficientBracketHarness, + optimized: &CoefficientBracketHarness, +) -> (usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.data_ids, optimized.data_ids); + let states = 1usize << baseline.data_ids.len(); + let mut cases_checked = 0usize; + let mut phase_clean_checks = 0usize; + let mut scratch_clean_checks = 0usize; + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"coefficient-nonnegative-x-cancel"); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.clone().finalize_xof(); + let mut optimized_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + let mut optimized_simulator = Simulator::new( + optimized.builder.next_qubit as usize, + optimized.builder.next_bit as usize, + &mut optimized_xof, + ); + for shot in 0..shots { + let value = (batch_start + shot) as u64; + for (bit, (&baseline_id, &optimized_id)) in baseline + .data_ids + .iter() + .zip(&optimized.data_ids) + .enumerate() + { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= + 1u64 << shot; + *optimized_simulator.qubit_mut(QubitId(u64::from(optimized_id))) |= + 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + optimized_simulator.apply_iter(optimized.builder.ops.iter()); + assert_eq!(baseline_simulator.phase & live, 0); + assert_eq!(optimized_simulator.phase & live, 0); + phase_clean_checks += 2 * shots; + for id in 0..baseline.builder.next_qubit { + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(id))) & live, + optimized_simulator.qubit(QubitId(u64::from(id))) & live + ); + } + assert_eq!( + baseline_simulator.qubit(QubitId(u64::from(baseline.tmp_id))) & live, + 0 + ); + assert_eq!( + optimized_simulator.qubit(QubitId(u64::from(optimized.tmp_id))) & live, + 0 + ); + scratch_clean_checks += 2 * shots; + cases_checked += shots; + } + (cases_checked, phase_clean_checks, scratch_clean_checks) +} + +/// Exhaustively prove that the two sign-bit X gates surrounding a +/// source-disjoint coefficient body cancel, then derive the exact production +/// saving from the sealed active-window schedule. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_coefficient_nonnegative_x_cancel_check( +) -> CoefficientNonnegativeXCancelProofReport { + use crate::circuit::OperationType; + + assert_ne!( + std::env::var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG) + .ok() + .as_deref(), + Some("1"), + "coefficient nonnegative X cancellation must default off" + ); + let saved = std::env::var_os(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG); + let cursor_widths = 1usize..=4; + let mut configurations_checked = 0usize; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut cursor_restore_checks = 0usize; + let mut active_restore_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut control_off_identity_checks = 0usize; + let mut default_stream_identity_checks = 0usize; + let mut non_x_kind_identity_checks = 0usize; + + for cursor_width in cursor_widths.clone() { + for body in COEFFICIENT_BRACKET_BODIES { + let default = build_coefficient_bracket_harness(cursor_width, body, None); + let baseline = build_coefficient_bracket_harness(cursor_width, body, Some(false)); + let optimized = build_coefficient_bracket_harness(cursor_width, body, Some(true)); + let inverse = + build_coefficient_bracket_harness(cursor_width, body.inverse(), Some(true)); + assert_coefficient_bracket_stream_identity(&default, &baseline); + default_stream_identity_checks += 1; + assert_eq!(baseline.data_ids, optimized.data_ids); + assert_eq!(baseline.builder.active_qubits, optimized.builder.active_qubits); + assert_eq!(baseline.builder.peak_qubits, optimized.builder.peak_qubits); + assert_eq!(baseline.builder.ops.len() - optimized.builder.ops.len(), 2); + assert_eq!( + baseline.builder.counted_kind_ops[OperationType::X as usize] + - optimized.builder.counted_kind_ops[OperationType::X as usize], + 2 + ); + for kind in 0..baseline.builder.counted_kind_ops.len() { + if kind != OperationType::X as usize { + assert_eq!( + baseline.builder.counted_kind_ops[kind], + optimized.builder.counted_kind_ops[kind] + ); + non_x_kind_identity_checks += 1; + } + } + let (simulator_cases, phases, scratch) = + verify_coefficient_bracket_simulator_equivalence(&baseline, &optimized); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += phases; + scratch_clean_checks += scratch; + + let states = 1u64 << baseline.data_ids.len(); + for value in 0..states { + let input = coefficient_bracket_input(&baseline, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let optimized_output = apply_scalar(&optimized.builder.ops, input); + assert_eq!(optimized_output, baseline_output); + assert_eq!(optimized_output & (1u64 << optimized.tmp_id), 0); + assert_eq!( + optimized_output & optimized.cursor_mask, + input & optimized.cursor_mask + ); + assert_eq!( + optimized_output & optimized.active_mask, + input & optimized.active_mask + ); + assert_eq!(apply_scalar(&inverse.builder.ops, optimized_output), input); + let control = value & 1; + let active_bit = (value >> (cursor_width + 1)) & 1; + if control == 0 && active_bit == 0 { + assert_eq!(optimized_output, input); + control_off_identity_checks += 1; + } + basis_states_checked += 1; + scalar_equivalence_checks += 1; + inverse_pair_checks += 1; + cursor_restore_checks += 1; + active_restore_checks += 1; + scratch_clean_checks += 1; + } + configurations_checked += 1; + } + } + + match saved { + Some(value) => std::env::set_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, value), + None => std::env::remove_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG), + } + let schedule = exhaustive_reference_schedule_check(); + let active_coefficient_positions = schedule.t_window_sum; + let bracket_pairs_per_phase_block_position = 6usize; + let coefficient_phase_blocks_per_point_add = 4usize; + let removed_x_per_position = + 2 * bracket_pairs_per_phase_block_position * coefficient_phase_blocks_per_point_add; + let total_removed_x = active_coefficient_positions * removed_x_per_position; + assert_eq!(active_coefficient_positions, 249_543); + assert_eq!(removed_x_per_position, 48); + assert_eq!(total_removed_x, 11_978_064); + + CoefficientNonnegativeXCancelProofReport { + cursor_widths_checked: cursor_widths.count(), + body_kinds_checked: COEFFICIENT_BRACKET_BODIES.len(), + configurations_checked, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + cursor_restore_checks, + active_restore_checks, + scratch_clean_checks, + control_off_identity_checks, + default_stream_identity_checks, + non_x_kind_identity_checks, + local_ops_delta: -2, + local_x_delta: -2, + local_toffoli_delta: 0, + scheduled_steps: schedule.steps_checked, + active_coefficient_positions, + bracket_pairs_per_phase_block_position, + coefficient_phase_blocks_per_point_add, + removed_x_per_position, + total_removed_x, + } +} + +struct Q845FusionGuardHarness { + builder: B, + control_id: u32, + target_length_ids: Vec, + source_length_ids: Vec, + shift_ids: Vec, + target_id: u32, + data_mask: u64, +} + +struct Q845FusionCoreHarness { + builder: B, + phase1_id: u32, + phase2_id: u32, + sign_id: u32, + work1_ids: Vec, + work2_ids: Vec, + length_ids: Vec, + above_guard_id: u32, + data_mask: u64, +} + +fn q845_fusion_id_mask(ids: &[u32]) -> u64 { + ids.iter().fold(0u64, |mask, &id| mask | (1u64 << id)) +} + +fn q845_fusion_proof_circuit() -> Circuit { + let mut circ = Circuit::new(); + circ.b.count_only = false; + circ.b.fiat_hash = None; + circ +} + +fn apply_q845_fusion_classical_with_clean_resets( + ops: &[crate::circuit::Op], + mut state: u64, +) -> u64 { + use crate::circuit::OperationType; + + let bit = |word: u64, id: u64| ((word >> id) & 1) != 0; + for operation in ops { + match operation.kind { + OperationType::X => state ^= 1u64 << operation.q_target.0, + OperationType::CX => { + if bit(state, operation.q_control1.0) { + state ^= 1u64 << operation.q_target.0; + } + } + OperationType::CCX => { + if bit(state, operation.q_control1.0) + && bit(state, operation.q_control2.0) + { + state ^= 1u64 << operation.q_target.0; + } + } + OperationType::R => assert!( + !bit(state, operation.q_target.0), + "Q845 lifetime fusion reset dirty q{}", + operation.q_target.0 + ), + other => panic!("Q845 lifetime fusion emitted nonclassical operation {other:?}"), + } + } + state +} + +fn q845_fusion_set_register(mut value: u64, ids: &[u32], register: usize) -> u64 { + for (index, &id) in ids.iter().enumerate() { + let mask = 1u64 << id; + value &= !mask; + if register & (1usize << index) != 0 { + value |= mask; + } + } + value +} + +fn q845_fusion_read_register(value: u64, ids: &[u32]) -> usize { + ids.iter().enumerate().fold(0usize, |result, (index, id)| { + result | ((((value >> id) & 1) as usize) << index) + }) +} + +fn build_q845_fusion_guard_harness(length_width: usize) -> Q845FusionGuardHarness { + let mut circ = q845_fusion_proof_circuit(); + let control = circ.alloc_qreg("q845.coeff-fusion-proof.guard.control"); + let target_length = + circ.alloc_qreg_bits("q845.coeff-fusion-proof.guard.target-length", length_width); + let source_length = + circ.alloc_qreg_bits("q845.coeff-fusion-proof.guard.source-length", length_width); + let shift = circ.alloc_qreg_bits("q845.coeff-fusion-proof.guard.shift", length_width); + let target = circ.alloc_qreg("q845.coeff-fusion-proof.guard.target"); + let scratch = circ.alloc_qreg_bits("q845.coeff-fusion-proof.guard.scratch", 3); + let scratch_refs = scratch.iter().collect::>(); + toggle_q845_coefficient_length_above_guarded_boundary( + &mut circ, + &control, + &target_length, + &source_length, + &shift, + &target, + &scratch_refs, + ); + free_clean(&mut circ, scratch); + let control_id = control.id(); + let target_length_ids = target_length.iter().map(QReg::id).collect::>(); + let source_length_ids = source_length.iter().map(QReg::id).collect::>(); + let shift_ids = shift.iter().map(QReg::id).collect::>(); + let target_id = target.id(); + let data_mask = (1u64 << control_id) + | q845_fusion_id_mask(&target_length_ids) + | q845_fusion_id_mask(&source_length_ids) + | q845_fusion_id_mask(&shift_ids) + | (1u64 << target_id); + Q845FusionGuardHarness { + builder: circ.into_builder(), + control_id, + target_length_ids, + source_length_ids, + shift_ids, + target_id, + data_mask, + } +} + +fn build_q845_fusion_core_harness( + work_width: usize, + length_width: usize, + inverse: bool, +) -> Q845FusionCoreHarness { + let mut circ = q845_fusion_proof_circuit(); + let phase1 = circ.alloc_qreg("q845.coeff-fusion-proof.core.phase1"); + let phase2 = circ.alloc_qreg("q845.coeff-fusion-proof.core.phase2"); + let sign = circ.alloc_qreg("q845.coeff-fusion-proof.core.sign"); + let work1 = circ.alloc_qreg_bits("q845.coeff-fusion-proof.core.work1", work_width); + let work2 = circ.alloc_qreg_bits("q845.coeff-fusion-proof.core.work2", work_width); + let l_t = circ.alloc_qreg_bits("q845.coeff-fusion-proof.core.l-t", length_width); + let above_guard = circ.alloc_qreg("q845.coeff-fusion-proof.core.above-guard"); + let enable = circ.alloc_qreg("q845.coeff-fusion-proof.core.enable"); + let add_only = circ.alloc_qreg("q845.coeff-fusion-proof.core.add-only"); + let chain = circ.alloc_qreg_bits("q845.coeff-fusion-proof.core.chain", 2); + + if inverse { + coefficient_fused_data_and_sign_q845( + &mut circ, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &enable, + &above_guard, + &add_only, + &chain, + true, + ); + } else { + toggle_initial_coefficient_enable( + &mut circ, + &phase1, + &phase2, + &sign, + &enable, + &chain, + ); + coefficient_fused_data_and_sign_q845( + &mut circ, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &enable, + &above_guard, + &add_only, + &chain, + false, + ); + } + + free_clean(&mut circ, chain); + circ.zero_and_free(add_only); + circ.zero_and_free(enable); + let phase1_id = phase1.id(); + let phase2_id = phase2.id(); + let sign_id = sign.id(); + let work1_ids = work1.iter().map(QReg::id).collect::>(); + let work2_ids = work2.iter().map(QReg::id).collect::>(); + let length_ids = l_t.iter().map(QReg::id).collect::>(); + let above_guard_id = above_guard.id(); + let data_mask = (1u64 << phase1_id) + | (1u64 << phase2_id) + | (1u64 << sign_id) + | q845_fusion_id_mask(&work1_ids) + | q845_fusion_id_mask(&work2_ids) + | q845_fusion_id_mask(&length_ids) + | (1u64 << above_guard_id); + Q845FusionCoreHarness { + builder: circ.into_builder(), + phase1_id, + phase2_id, + sign_id, + work1_ids, + work2_ids, + length_ids, + above_guard_id, + data_mask, + } +} + +fn set_q845_lifetime_fusion_proof_mode(enabled: Option) { + match enabled { + Some(true) => std::env::set_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, "1"), + Some(false) => std::env::set_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, "0"), + None => std::env::remove_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG), + } +} + +fn build_q845_fusion_dispatch_harness(enabled: Option, direct: bool) -> B { + set_q845_lifetime_fusion_proof_mode(enabled); + let mut circ = q845_fusion_proof_circuit(); + let phase1 = circ.alloc_qreg("q845.coeff-fusion-proof.dispatch.phase1"); + let phase2 = circ.alloc_qreg("q845.coeff-fusion-proof.dispatch.phase2"); + let sign = circ.alloc_qreg("q845.coeff-fusion-proof.dispatch.sign"); + let work1 = circ.alloc_qreg_bits("q845.coeff-fusion-proof.dispatch.work1", 4); + let work2 = circ.alloc_qreg_bits("q845.coeff-fusion-proof.dispatch.work2", 4); + let l_t = circ.alloc_qreg_bits("q845.coeff-fusion-proof.dispatch.l-t", 3); + let l_t_prime = circ.alloc_qreg_bits("q845.coeff-fusion-proof.dispatch.l-t-prime", 3); + let l_s = circ.alloc_qreg_bits("q845.coeff-fusion-proof.dispatch.l-s", 3); + let l_r_prime = circ.alloc_qreg_bits("q845.coeff-fusion-proof.dispatch.l-r-prime", 3); + if direct { + coefficient_phase_block_fused_q845( + &mut circ, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &work2, + &l_t, + &l_t_prime, + &l_s, + &l_r_prime, + false, + None, + None, + None, + ); + } else { + coefficient_phase_block( + &mut circ, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &work2, + &l_t, + &l_t_prime, + &l_s, + &l_r_prime, + false, + ); + } + circ.into_builder() +} + +fn assert_q845_fusion_builder_identity(left: &B, right: &B) { + assert_eq!(left.ops, right.ops); + assert_eq!(left.next_qubit, right.next_qubit); + assert_eq!(left.next_bit, right.next_bit); + assert_eq!(left.active_qubits, right.active_qubits); + assert_eq!(left.peak_qubits, right.peak_qubits); + assert_eq!(left.free_qubits, right.free_qubits); + assert_eq!(left.allocation_serial, right.allocation_serial); +} + +struct Q845SwapOnlyCoreHarness { + builder: B, + phase1_id: u32, + phase2_id: u32, + sign_id: u32, + work1_ids: Vec, + work2_ids: Vec, + l_t_ids: Vec, + l_t_prime_ids: Vec, + l_s_ids: Vec, + l_r_prime_ids: Vec, + above_guard_id: u32, + data_mask: u64, +} + +fn build_q845_swap_only_core_harness( + physical_work_width: usize, + scan_width: usize, + coefficient_width: usize, + length_width: usize, + r_length_width: usize, + inverse: bool, + swap_only: bool, + truncated_guard: bool, +) -> Q845SwapOnlyCoreHarness { + assert!(scan_width <= physical_work_width); + assert!(coefficient_width <= scan_width); + assert_l_r_prime_metadata_width(length_width, r_length_width); + assert!(!truncated_guard || swap_only); + if truncated_guard { + std::env::set_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, "1"); + } else { + std::env::remove_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG); + } + let mut circ = q845_fusion_proof_circuit(); + let phase1 = circ.alloc_qreg("q845.swap-only-proof.phase1"); + let phase2 = circ.alloc_qreg("q845.swap-only-proof.phase2"); + let sign = circ.alloc_qreg("q845.swap-only-proof.sign"); + let work1 = circ.alloc_qreg_bits("q845.swap-only-proof.work1", scan_width); + let work2 = circ.alloc_qreg_bits("q845.swap-only-proof.work2", physical_work_width); + let l_t = circ.alloc_qreg_bits("q845.swap-only-proof.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("q845.swap-only-proof.l-t-prime", length_width); + let l_s = circ.alloc_qreg_bits("q845.swap-only-proof.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("q845.swap-only-proof.l-r-prime", r_length_width); + let above_guard = circ.alloc_qreg("q845.swap-only-proof.above-guard"); + let enable = circ.alloc_qreg("q845.swap-only-proof.enable"); + let add_only = circ.alloc_qreg("q845.swap-only-proof.add-only"); + let chain = circ.alloc_qreg_bits("q845.swap-only-proof.chain", 2); + + if swap_only { + coefficient_fused_data_and_sign_q845_swap_only( + &mut circ, + &phase1, + &phase2, + &sign, + &work1[..coefficient_width], + &work2[..coefficient_width], + physical_work_width, + &l_t, + &l_t_prime, + &l_s, + &l_r_prime, + &enable, + &above_guard, + &add_only, + &chain, + inverse, + None, + None, + None, + ); + } else if inverse { + coefficient_fused_data_and_sign_q845( + &mut circ, + &phase1, + &phase2, + &sign, + &work1[..coefficient_width], + &work2[..coefficient_width], + &l_t, + &enable, + &above_guard, + &add_only, + &chain, + true, + ); + } else { + toggle_initial_coefficient_enable( + &mut circ, + &phase1, + &phase2, + &sign, + &enable, + &chain, + ); + coefficient_fused_data_and_sign_q845( + &mut circ, + &phase1, + &phase2, + &sign, + &work1[..coefficient_width], + &work2[..coefficient_width], + &l_t, + &enable, + &above_guard, + &add_only, + &chain, + false, + ); + } + + free_clean(&mut circ, chain); + circ.zero_and_free(add_only); + circ.zero_and_free(enable); + let phase1_id = phase1.id(); + let phase2_id = phase2.id(); + let sign_id = sign.id(); + let work1_ids = work1.iter().map(QReg::id).collect::>(); + let work2_ids = work2.iter().map(QReg::id).collect::>(); + let l_t_ids = l_t.iter().map(QReg::id).collect::>(); + let l_t_prime_ids = l_t_prime.iter().map(QReg::id).collect::>(); + let l_s_ids = l_s.iter().map(QReg::id).collect::>(); + let l_r_prime_ids = l_r_prime.iter().map(QReg::id).collect::>(); + let above_guard_id = above_guard.id(); + let data_mask = (1u64 << phase1_id) + | (1u64 << phase2_id) + | (1u64 << sign_id) + | q845_fusion_id_mask(&work1_ids) + | q845_fusion_id_mask(&work2_ids) + | q845_fusion_id_mask(&l_t_ids) + | q845_fusion_id_mask(&l_t_prime_ids) + | q845_fusion_id_mask(&l_s_ids) + | q845_fusion_id_mask(&l_r_prime_ids) + | (1u64 << above_guard_id); + Q845SwapOnlyCoreHarness { + builder: circ.into_builder(), + phase1_id, + phase2_id, + sign_id, + work1_ids, + work2_ids, + l_t_ids, + l_t_prime_ids, + l_s_ids, + l_r_prime_ids, + above_guard_id, + data_mask, + } +} + +fn build_q845_swap_only_dispatch_harness(enabled: Option) -> B { + match enabled { + Some(true) => std::env::set_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, "1"), + Some(false) => std::env::set_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, "0"), + None => std::env::remove_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG), + } + std::env::set_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, "1"); + let mut circ = q845_fusion_proof_circuit(); + let phase1 = circ.alloc_qreg("q845.swap-only-dispatch.phase1"); + let phase2 = circ.alloc_qreg("q845.swap-only-dispatch.phase2"); + let sign = circ.alloc_qreg("q845.swap-only-dispatch.sign"); + let work1 = circ.alloc_qreg_bits("q845.swap-only-dispatch.work1", 4); + let work2 = circ.alloc_qreg_bits("q845.swap-only-dispatch.work2", 5); + let l_t = circ.alloc_qreg_bits("q845.swap-only-dispatch.l-t", 3); + let l_t_prime = circ.alloc_qreg_bits("q845.swap-only-dispatch.l-t-prime", 3); + let l_s = circ.alloc_qreg_bits("q845.swap-only-dispatch.l-s", 3); + let l_r_prime = circ.alloc_qreg_bits("q845.swap-only-dispatch.l-r-prime", 2); + coefficient_phase_block( + &mut circ, + &phase1, + &phase2, + &sign, + &work1, + &work2[..4], + &work2, + &l_t, + &l_t_prime, + &l_s, + &l_r_prime, + false, + ); + circ.into_builder() +} + +struct Q845EphemeralSwapHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + iteration_id: u32, + work1_ids: Vec, + work2_ids: Vec, + l_t_ids: Vec, + l_t_prime_ids: Vec, + l_q_ids: Vec, + l_s_ids: Vec, + l_r_prime_ids: Vec, +} + +fn build_q845_ephemeral_swap_harness( + work_width: usize, + length_width: usize, + r_length_width: usize, + inverse: bool, + swap_only: bool, + fuse_support_lifetime: bool, +) -> Q845EphemeralSwapHarness { + if swap_only { + std::env::set_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, "1"); + } else { + std::env::remove_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG); + } + std::env::set_var(PROMISED_LQ_SWAP_BORROW_FLAG, "1"); + if fuse_support_lifetime { + std::env::set_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, "1"); + } else { + std::env::remove_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG); + } + let mut circ = q845_fusion_proof_circuit(); + let iteration = circ.alloc_qreg("q845.ephemeral-swap.iteration"); + let work1 = circ.alloc_qreg_bits("q845.ephemeral-swap.work1", work_width); + let work2 = circ.alloc_qreg_bits("q845.ephemeral-swap.work2", work_width); + let l_t = circ.alloc_qreg_bits("q845.ephemeral-swap.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("q845.ephemeral-swap.l-t-prime", length_width); + let l_q = circ.alloc_qreg_bits("q845.ephemeral-swap.l-q", length_width); + let l_s = circ.alloc_qreg_bits("q845.ephemeral-swap.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("q845.ephemeral-swap.l-r-prime", r_length_width); + let predicate_chain_width = 3usize.max(length_width.saturating_sub(2)); + let condition_scratch = + circ.alloc_qreg_bits("q845.ephemeral-swap.condition", 3 + predicate_chain_width); + let zero_q = &condition_scratch[0]; + let zero_s = &condition_scratch[1]; + let control = &condition_scratch[2]; + let chain = &condition_scratch[3..]; + compute_zero(&mut circ, &l_q, zero_q, chain); + compute_zero(&mut circ, &l_s, zero_s, chain); + conditional_work_and_length_swap_under_zero_predicate( + &mut circ, + zero_q, + zero_s, + control, + &iteration, + &work1, + &work2, + &l_t, + &l_t_prime, + &l_q, + &l_s, + &l_r_prime, + (1, work_width), + (1, work_width), + chain, + &[], + inverse, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(&mut circ, &l_s, zero_s, chain); + uncompute_zero(&mut circ, &l_q, zero_q, chain); + free_clean(&mut circ, condition_scratch); + + let iteration_id = iteration.id(); + let work1_ids = work1.iter().map(QReg::id).collect::>(); + let work2_ids = work2.iter().map(QReg::id).collect::>(); + let l_t_ids = l_t.iter().map(QReg::id).collect::>(); + let l_t_prime_ids = l_t_prime.iter().map(QReg::id).collect::>(); + let l_q_ids = l_q.iter().map(QReg::id).collect::>(); + let l_s_ids = l_s.iter().map(QReg::id).collect::>(); + let l_r_prime_ids = l_r_prime.iter().map(QReg::id).collect::>(); + let data_ids = std::iter::once(iteration_id) + .chain(work1_ids.iter().copied()) + .chain(work2_ids.iter().copied()) + .chain(l_t_ids.iter().copied()) + .chain(l_t_prime_ids.iter().copied()) + .chain(l_q_ids.iter().copied()) + .chain(l_s_ids.iter().copied()) + .chain(l_r_prime_ids.iter().copied()) + .collect::>(); + let external_mask = data_ids + .iter() + .fold(0u64, |mask, id| mask | (1u64 << id)); + Q845EphemeralSwapHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + iteration_id, + work1_ids, + work2_ids, + l_t_ids, + l_t_prime_ids, + l_q_ids, + l_s_ids, + l_r_prime_ids, + } +} + +fn q845_test_bit_length(value: usize) -> usize { + if value == 0 { + 0 + } else { + usize::BITS as usize - value.leading_zeros() as usize + } +} + +fn q845_test_pack_work1(width: usize, t: usize, r: usize) -> usize { + let l_t = q845_test_bit_length(t); + let l_r = q845_test_bit_length(r); + assert!(l_t + 1 + l_r <= width); + let mut packed = t; + for bit in 0..l_r { + if (r >> bit) & 1 != 0 { + packed |= 1usize << (width - 1 - bit); + } + } + packed +} + +fn q845_test_pack_work2(width: usize, t_prime: usize, r_prime: usize) -> usize { + let l_t_prime = q845_test_bit_length(t_prime); + let l_r_prime = q845_test_bit_length(r_prime); + assert!(l_t_prime + l_r_prime <= width); + let mut packed = t_prime; + for bit in 0..l_r_prime { + if (r_prime >> bit) & 1 != 0 { + packed |= 1usize << (width - 1 - bit); + } + } + packed +} + +fn q845_pack_data_value(data_ids: &[u32], state: u64) -> usize { + data_ids + .iter() + .enumerate() + .fold(0usize, |packed, (bit, id)| { + packed | ((((state >> id) & 1) as usize) << bit) + }) +} + +struct Q851RangeComparatorHarness { + builder: B, + register_ids: Vec, + target_id: u32, + external_mask: u64, +} + +fn build_q851_range_comparator_harness( + width: usize, + value: usize, +) -> Q851RangeComparatorHarness { + let mut circ = q845_fusion_proof_circuit(); + let register = circ.alloc_qreg_bits("q851.range-proof.register", width); + let target = circ.alloc_qreg("q851.range-proof.target"); + let scratch = circ.alloc_qreg_bits("q851.range-proof.scratch", width.saturating_sub(2)); + toggle_register_geq_constant_vchain(&mut circ, ®ister, value, &target, &scratch); + free_clean(&mut circ, scratch); + let register_ids = register.iter().map(QReg::id).collect::>(); + let target_id = target.id(); + let external_mask = q845_fusion_id_mask(®ister_ids) | (1u64 << target_id); + Q851RangeComparatorHarness { + builder: circ.into_builder(), + register_ids, + target_id, + external_mask, + } +} + +struct Q851TruncatedGuardTraceHarness { + builder: B, + l_s_ids: Vec, + l_r_prime_ids: Vec, + forward_trace_ids: Vec, + reverse_trace_ids: Vec, + external_mask: u64, +} + +fn build_q851_truncated_guard_trace_harness( + physical_work_width: usize, + scan_width: usize, + length_width: usize, + truncated: bool, +) -> Q851TruncatedGuardTraceHarness { + if truncated { + std::env::set_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, "1"); + } else { + std::env::remove_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG); + } + let mut circ = q845_fusion_proof_circuit(); + let count = circ.alloc_qreg_bits("q851.guard-trace.count", length_width); + let l_s = circ.alloc_qreg_bits("q851.guard-trace.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("q851.guard-trace.l-r-prime", length_width); + let carry = circ.alloc_qreg("q851.guard-trace.carry"); + let overflow = circ.alloc_qreg("q851.guard-trace.overflow"); + let phase1 = circ.alloc_qreg("q851.guard-trace.phase1"); + let active = circ.alloc_qreg("q851.guard-trace.active"); + let forward_trace = circ.alloc_qreg_bits("q851.guard-trace.forward", scan_width); + let reverse_trace = circ.alloc_qreg_bits("q851.guard-trace.reverse", scan_width); + + let guard = Q845SwapOnlyCoefficientGuard::prepare( + &mut circ, + physical_work_width, + &count, + &l_s, + &l_r_prime, + &carry, + &overflow, + &phase1, + None, + None, + None, + false, + ); + guard.for_each_forward( + &mut circ, + scan_width, + &active, + &count, + |circ, index, guard_active| circ.cx(guard_active, &forward_trace[index]), + ); + let constant_scratch = count.iter().collect::>(); + guard.prepare_reverse_boundary( + &mut circ, + &constant_scratch, + &l_s, + &l_r_prime, + &carry, + &active, + ); + guard.for_each_reverse( + &mut circ, + scan_width, + &active, + &count, + &constant_scratch, + &carry, + |circ, index, guard_active| circ.cx(guard_active, &reverse_trace[index]), + ); + guard.finish( + &mut circ, + &count, + &l_s, + &l_r_prime, + &carry, + &overflow, + ); + free_clean(&mut circ, count); + circ.zero_and_free(active); + circ.zero_and_free(overflow); + circ.zero_and_free(carry); + + let l_s_ids = l_s.iter().map(QReg::id).collect::>(); + let l_r_prime_ids = l_r_prime.iter().map(QReg::id).collect::>(); + let forward_trace_ids = forward_trace.iter().map(QReg::id).collect::>(); + let reverse_trace_ids = reverse_trace.iter().map(QReg::id).collect::>(); + let external_mask = q845_fusion_id_mask(&l_s_ids) + | q845_fusion_id_mask(&l_r_prime_ids) + | q845_fusion_id_mask(&forward_trace_ids) + | q845_fusion_id_mask(&reverse_trace_ids); + Q851TruncatedGuardTraceHarness { + builder: circ.into_builder(), + l_s_ids, + l_r_prime_ids, + forward_trace_ids, + reverse_trace_ids, + external_mask, + } +} + +struct Q851FixedSignEventHarness { + builder: B, + cursor_ids: Vec, + scratch_ids: Vec, + allocation_free_transitions: usize, +} + +fn build_q851_fixed_sign_event_harness( + transition_index: usize, + direction: Q851CoefficientCursorDirection, +) -> Q851FixedSignEventHarness { + let mut circ = q845_fusion_proof_circuit(); + let cursor = circ.alloc_qreg_bits("q851.fixed-sign-proof.cursor", REFERENCE_LENGTH_WIDTH); + let scratch = circ.alloc_qreg_bits( + "q851.fixed-sign-proof.scratch", + REFERENCE_LENGTH_WIDTH - 1, + ); + let before = circ.b.next_qubit; + transition_q851_coefficient_cursor( + &mut circ, + &cursor, + 257, + transition_index, + &scratch, + direction, + ); + assert_eq!(circ.b.next_qubit, before, "fixed sign event allocated a qubit"); + Q851FixedSignEventHarness { + builder: circ.into_builder(), + cursor_ids: cursor.iter().map(QReg::id).collect(), + scratch_ids: scratch.iter().map(QReg::id).collect(), + allocation_free_transitions: 1, + } +} + +fn build_q851_fixed_sign_sequence_harness( + width: usize, + direction: Q851CoefficientCursorDirection, +) -> Q851FixedSignEventHarness { + assert!((1..=257).contains(&width)); + let mut circ = q845_fusion_proof_circuit(); + let cursor = circ.alloc_qreg_bits("q851.fixed-sign-sequence.cursor", REFERENCE_LENGTH_WIDTH); + let scratch = circ.alloc_qreg_bits( + "q851.fixed-sign-sequence.scratch", + REFERENCE_LENGTH_WIDTH - 1, + ); + let mut allocation_free_transitions = 0usize; + match direction { + Q851CoefficientCursorDirection::Decrement => { + for transition_index in 0..width - 1 { + let before = circ.b.next_qubit; + transition_q851_coefficient_cursor( + &mut circ, + &cursor, + width, + transition_index, + &scratch, + direction, + ); + assert_eq!(circ.b.next_qubit, before, "forward sign event allocated a qubit"); + allocation_free_transitions += 1; + } + } + Q851CoefficientCursorDirection::Increment => { + for transition_index in (0..width - 1).rev() { + let before = circ.b.next_qubit; + transition_q851_coefficient_cursor( + &mut circ, + &cursor, + width, + transition_index, + &scratch, + direction, + ); + assert_eq!(circ.b.next_qubit, before, "reverse sign event allocated a qubit"); + allocation_free_transitions += 1; + } + } + } + Q851FixedSignEventHarness { + builder: circ.into_builder(), + cursor_ids: cursor.iter().map(QReg::id).collect(), + scratch_ids: scratch.iter().map(QReg::id).collect(), + allocation_free_transitions, + } +} + +fn q851_fixed_sign_cursor_value(initial: usize, body_index: usize) -> usize { + assert!(initial < 512); + assert!(body_index <= 256); + let low = initial & 255; + let sign = ((initial >> 8) & 1) ^ usize::from(body_index > low); + low | (sign << 8) +} + +fn build_q851_fixed_sign_domain_harness( + cursor_width: usize, + scan_width: usize, + direction: Q851CoefficientCursorDirection, +) -> B { + assert!(cursor_width > 1); + let mut circ = q845_fusion_proof_circuit(); + let cursor = circ.alloc_qreg_bits("q851.fixed-sign-domain.cursor", cursor_width); + let scratch = circ.alloc_qreg_bits("q851.fixed-sign-domain.scratch", cursor_width - 1); + let before = circ.b.next_qubit; + transition_q851_coefficient_cursor( + &mut circ, + &cursor, + scan_width, + 0, + &scratch, + direction, + ); + assert_eq!(circ.b.next_qubit, before, "domain fallback allocated a qubit"); + circ.into_builder() +} + +fn q851_apply_baseline_cursor_transition( + value: usize, + direction: Q851CoefficientCursorDirection, +) -> usize { + match direction { + Q851CoefficientCursorDirection::Decrement => value.wrapping_sub(1) & 511, + Q851CoefficientCursorDirection::Increment => value.wrapping_add(1) & 511, + } +} + +fn q851_apply_fixed_sign_event(value: usize, transition_index: usize) -> usize { + assert!(value < 512); + assert!(transition_index < 256); + if value & 255 == transition_index { + value ^ 256 + } else { + value + } +} + +fn q851_apply_cursor_transition_pair( + baseline: &mut usize, + candidate: &mut usize, + traversal: Q851CoefficientCursorTraversal, + index: usize, + scan_width: usize, +) -> bool { + let Some((transition_index, direction)) = + q851_coefficient_cursor_transition(traversal, index, scan_width) + else { + return false; + }; + assert!(transition_index < 256); + *baseline = q851_apply_baseline_cursor_transition(*baseline, direction); + *candidate = q851_apply_fixed_sign_event(*candidate, transition_index); + true +} + +fn verify_q851_fixed_sign_harness( + label: &[u8], + harness: &Q851FixedSignEventHarness, + input_value: Input, + expected_value: Expected, +) -> (usize, usize, usize, usize) +where + Input: Fn(usize) -> usize, + Expected: Fn(usize) -> usize, +{ + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(harness.cursor_ids.len(), REFERENCE_LENGTH_WIDTH); + assert_eq!(harness.scratch_ids.len(), REFERENCE_LENGTH_WIDTH - 1); + let mut cases_checked = 0usize; + let mut scratch_clean_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + for batch_start in (0usize..512).step_by(64) { + let mut seed = Shake128::default(); + seed.update(label); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for shot in 0..64 { + let input = input_value(batch_start + shot); + for (bit, id) in harness.cursor_ids.iter().enumerate() { + if input & (1usize << bit) != 0 { + *simulator.qubit_mut(QubitId(u64::from(*id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(harness.builder.ops.iter()); + assert_eq!(simulator.phase, 0, "{label:?} left phase garbage"); + for (bit, id) in harness.cursor_ids.iter().enumerate() { + let expected = (0..64).fold(0u64, |plane, shot| { + let value = expected_value(batch_start + shot); + plane | ((((value >> bit) & 1) as u64) << shot) + }); + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))), + expected, + "{label:?} cursor bit {bit} mismatch at batch {batch_start}" + ); + } + for id in &harness.scratch_ids { + assert_eq!( + simulator.qubit(QubitId(u64::from(*id))), + 0, + "{label:?} left scratch q{id} dirty" + ); + } + cases_checked += 64; + scratch_clean_checks += 64; + phase_clean_checks += 64; + ancilla_clean_checks += 64; + } + ( + cases_checked, + scratch_clean_checks, + phase_clean_checks, + ancilla_clean_checks, + ) +} + +fn q851_baseline_transition9_counts() -> RegisterSharedGateCounts { + let mut circ = q845_fusion_proof_circuit(); + let cursor = circ.alloc_qreg_bits("q851.fixed-sign-proof.baseline", REFERENCE_LENGTH_WIDTH); + let scratch = circ.alloc_qreg_bits( + "q851.fixed-sign-proof.baseline-scratch", + REFERENCE_LENGTH_WIDTH - 1, + ); + let before = circ.b.next_qubit; + increment_mod_2n(&mut circ, &cursor, &scratch); + assert_eq!(circ.b.next_qubit, before); + gate_counts(&circ.into_builder().ops) +} + +/// Exhaustively prove the fixed Q851 coefficient-sign event before enabling it +/// in a whole-route count. The proof keeps the low cursor byte fixed and checks +/// every body index against the exact modulo-512 identity. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q851_fixed_sign_event_check() -> Q851FixedSignEventProofReport { + let saved = std::env::var_os(Q851_FIXED_SIGN_EVENT_FLAG); + std::env::remove_var(Q851_FIXED_SIGN_EVENT_FLAG); + let mut default_off_stream_identity_checks = 0usize; + for direction in [ + Q851CoefficientCursorDirection::Decrement, + Q851CoefficientCursorDirection::Increment, + ] { + let default = build_q851_fixed_sign_event_harness(0, direction); + std::env::set_var(Q851_FIXED_SIGN_EVENT_FLAG, "0"); + let explicit_off = build_q851_fixed_sign_event_harness(0, direction); + assert_q845_fusion_builder_identity(&default.builder, &explicit_off.builder); + default_off_stream_identity_checks += 1; + std::env::remove_var(Q851_FIXED_SIGN_EVENT_FLAG); + } + + let mut identity_pairs_checked = 0usize; + let mut body_256_checks = 0usize; + for initial in 0usize..512 { + for body_index in 0usize..=256 { + let direct = ((initial + 512 - body_index) & 511) >> 8; + let identity = q851_fixed_sign_cursor_value(initial, body_index) >> 8; + assert_eq!(direct, identity); + identity_pairs_checked += 1; + body_256_checks += usize::from(body_index == 256); + } + } + + let mut production_schedule_widths_checked = 0usize; + for step in 1..=REFERENCE_STEPS { + let width = reference_active_windows(256, step).t_add_sub.1; + assert!((1..=257).contains(&width)); + production_schedule_widths_checked += 1; + } + + let mut domain_fallback_stream_identity_checks = 0usize; + for direction in [ + Q851CoefficientCursorDirection::Decrement, + Q851CoefficientCursorDirection::Increment, + ] { + for (cursor_width, scan_width) in [(5usize, 5usize), (9usize, 259usize)] { + std::env::remove_var(Q851_FIXED_SIGN_EVENT_FLAG); + let baseline = + build_q851_fixed_sign_domain_harness(cursor_width, scan_width, direction); + std::env::set_var(Q851_FIXED_SIGN_EVENT_FLAG, "1"); + let candidate = + build_q851_fixed_sign_domain_harness(cursor_width, scan_width, direction); + assert_q845_fusion_builder_identity(&baseline, &candidate); + domain_fallback_stream_identity_checks += 1; + } + } + + std::env::set_var(Q851_FIXED_SIGN_EVENT_FLAG, "1"); + let mut transition_events_checked = 0usize; + let mut transition_basis_states_checked = 0usize; + let mut direction_stream_identity_checks = 0usize; + let mut allocation_free_microkernels_checked = 0usize; + let mut scratch_clean_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut transition_x_min = usize::MAX; + let mut transition_x_max = 0usize; + let mut transition_ops_min = usize::MAX; + let mut transition_ops_max = 0usize; + let mut transition_toffoli = None; + for transition_index in 0usize..256 { + let forward = build_q851_fixed_sign_event_harness( + transition_index, + Q851CoefficientCursorDirection::Decrement, + ); + let reverse = build_q851_fixed_sign_event_harness( + transition_index, + Q851CoefficientCursorDirection::Increment, + ); + assert_q845_fusion_builder_identity(&forward.builder, &reverse.builder); + direction_stream_identity_checks += 1; + allocation_free_microkernels_checked += + forward.allocation_free_transitions + reverse.allocation_free_transitions; + + let counts = gate_counts(&forward.builder.ops); + assert_eq!(counts.ccx, 13); + assert_eq!(counts.cx, 0); + assert_eq!( + counts.x, + 2 * (REFERENCE_LENGTH_WIDTH - 1 - transition_index.count_ones() as usize) + ); + match transition_toffoli { + Some(expected) => assert_eq!(counts.ccx, expected), + None => transition_toffoli = Some(counts.ccx), + } + transition_x_min = transition_x_min.min(counts.x); + transition_x_max = transition_x_max.max(counts.x); + transition_ops_min = transition_ops_min.min(counts.total); + transition_ops_max = transition_ops_max.max(counts.total); + + let (cases, scratch, phase, ancilla) = verify_q851_fixed_sign_harness( + b"q851-fixed-sign-event", + &forward, + |initial| initial, + |initial| { + if initial & 255 == transition_index { + initial ^ 256 + } else { + initial + } + }, + ); + transition_basis_states_checked += cases; + scratch_clean_checks += scratch; + phase_clean_checks += phase; + ancilla_clean_checks += ancilla; + transition_events_checked += 1; + } + + let mut sequence_widths_checked = 0usize; + let mut forward_sequence_cases_checked = 0usize; + let mut reverse_sequence_cases_checked = 0usize; + let mut exact_reverse_stream_checks = 0usize; + let mut cursor_restore_checks = 0usize; + let mut allocation_free_sequence_transitions_checked = 0usize; + for width in 1usize..=257 { + let forward = build_q851_fixed_sign_sequence_harness( + width, + Q851CoefficientCursorDirection::Decrement, + ); + let reverse = build_q851_fixed_sign_sequence_harness( + width, + Q851CoefficientCursorDirection::Increment, + ); + assert_eq!(forward.cursor_ids, reverse.cursor_ids); + assert_eq!(forward.scratch_ids, reverse.scratch_ids); + assert_eq!( + reverse.builder.ops, + forward.builder.ops.iter().rev().copied().collect::>() + ); + exact_reverse_stream_checks += 1; + allocation_free_sequence_transitions_checked += + forward.allocation_free_transitions + reverse.allocation_free_transitions; + let forward_counts = gate_counts(&forward.builder.ops); + let reverse_counts = gate_counts(&reverse.builder.ops); + assert_eq!(forward_counts, reverse_counts); + assert_eq!(forward_counts.ccx, 13 * (width - 1)); + + let body_index = width - 1; + let (cases, scratch, phase, ancilla) = verify_q851_fixed_sign_harness( + b"q851-fixed-sign-forward-sequence", + &forward, + |initial| initial, + |initial| q851_fixed_sign_cursor_value(initial, body_index), + ); + forward_sequence_cases_checked += cases; + scratch_clean_checks += scratch; + phase_clean_checks += phase; + ancilla_clean_checks += ancilla; + + let (cases, scratch, phase, ancilla) = verify_q851_fixed_sign_harness( + b"q851-fixed-sign-reverse-sequence", + &reverse, + |initial| q851_fixed_sign_cursor_value(initial, body_index), + |initial| initial, + ); + reverse_sequence_cases_checked += cases; + cursor_restore_checks += cases; + scratch_clean_checks += scratch; + phase_clean_checks += phase; + ancilla_clean_checks += ancilla; + sequence_widths_checked += 1; + } + + // The production coefficient body observes the cursor only through + // `lower_negative`; the shared traversal function below also drives all + // four production transition sites. Therefore equality of every observed + // sign plane plus exact route-exit restoration is a compositional miter for + // the unchanged guard, data, phase, and cleanup operations around it. + let mut route_branch_cases_checked = 0usize; + let mut route_transition_index_checks = 0usize; + let mut route_body_sign_observation_checks = 0usize; + let mut route_cursor_restore_checks = 0usize; + for width in 1usize..=257 { + for initial in 0usize..512 { + let mut baseline = initial; + let mut candidate = initial; + for index in 0usize..width { + route_transition_index_checks += usize::from( + q851_apply_cursor_transition_pair( + &mut baseline, + &mut candidate, + Q851CoefficientCursorTraversal::InverseForward, + index, + width, + ), + ); + assert_eq!(baseline, (initial + 512 - index) & 511); + assert_eq!(candidate >> 8, baseline >> 8); + route_body_sign_observation_checks += 1; + } + for index in (0usize..width).rev() { + route_transition_index_checks += usize::from( + q851_apply_cursor_transition_pair( + &mut baseline, + &mut candidate, + Q851CoefficientCursorTraversal::InverseReverse, + index, + width, + ), + ); + assert_eq!(baseline, (initial + 512 - index) & 511); + assert_eq!(candidate >> 8, baseline >> 8); + route_body_sign_observation_checks += 1; + } + assert_eq!(baseline, initial); + assert_eq!(candidate, initial); + route_branch_cases_checked += 1; + route_cursor_restore_checks += 1; + + let mut baseline = initial; + let mut candidate = initial; + for index in 0usize..width { + assert_eq!(baseline, (initial + 512 - index) & 511); + assert_eq!(candidate >> 8, baseline >> 8); + route_body_sign_observation_checks += 1; + route_transition_index_checks += usize::from( + q851_apply_cursor_transition_pair( + &mut baseline, + &mut candidate, + Q851CoefficientCursorTraversal::ForwardForward, + index, + width, + ), + ); + } + for index in (0usize..width).rev() { + assert_eq!(baseline, (initial + 512 - index) & 511); + assert_eq!(candidate >> 8, baseline >> 8); + route_body_sign_observation_checks += 1; + route_transition_index_checks += usize::from( + q851_apply_cursor_transition_pair( + &mut baseline, + &mut candidate, + Q851CoefficientCursorTraversal::ForwardReverse, + index, + width, + ), + ); + } + assert_eq!(baseline, initial); + assert_eq!(candidate, initial); + route_branch_cases_checked += 1; + route_cursor_restore_checks += 1; + } + } + + let baseline_transition9 = q851_baseline_transition9_counts(); + assert_eq!(baseline_transition9.x, 1); + assert_eq!(baseline_transition9.cx, 10); + assert_eq!(baseline_transition9.ccx, 14); + assert_eq!(baseline_transition9.total, 25); + let transition_toffoli = transition_toffoli.expect("at least one transition event"); + assert_eq!(transition_x_min, 0); + assert_eq!(transition_x_max, 16); + assert_eq!(transition_ops_min, 13); + assert_eq!(transition_ops_max, 29); + + match saved { + Some(value) => std::env::set_var(Q851_FIXED_SIGN_EVENT_FLAG, value), + None => std::env::remove_var(Q851_FIXED_SIGN_EVENT_FLAG), + } + + Q851FixedSignEventProofReport { + identity_pairs_checked, + body_256_checks, + production_schedule_widths_checked, + domain_fallback_stream_identity_checks, + route_branch_cases_checked, + route_transition_index_checks, + route_body_sign_observation_checks, + route_cursor_restore_checks, + transition_events_checked, + transition_basis_states_checked, + direction_stream_identity_checks, + sequence_widths_checked, + forward_sequence_cases_checked, + reverse_sequence_cases_checked, + exact_reverse_stream_checks, + cursor_restore_checks, + scratch_clean_checks, + phase_clean_checks, + ancilla_clean_checks, + default_off_stream_identity_checks, + allocation_free_microkernels_checked, + allocation_free_sequence_transitions_checked, + transition_toffoli, + transition_x_min, + transition_x_max, + transition_ops_min, + transition_ops_max, + baseline_transition9, + } +} + +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q845_swap_only_coefficient_check() -> Q845SwapOnlyCoefficientProofReport { + let saved_swap_only = std::env::var_os(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG); + let saved_truncated_guard = std::env::var_os(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG); + let saved_inplace_guard = std::env::var_os(SUB800_INPLACE_GUARD_ADDRESS_FLAG); + let saved_fusion = std::env::var_os(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG); + let saved_promised = std::env::var_os(PROMISED_LQ_SWAP_BORROW_FLAG); + let saved_support_fusion = + std::env::var_os(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG); + let saved_paired_source = std::env::var_os(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG); + let saved_coefficient_x = std::env::var_os(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG); + let saved_direct_prefix = std::env::var_os("LOWQ_DIRECT_PREFIX_BITLEN"); + let saved_fused_zero_prefix = std::env::var_os("LOWQ_FUSED_ZERO_PREFIX_BITLEN"); + std::env::remove_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG); + std::env::remove_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG); + std::env::remove_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG); + std::env::remove_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG); + let default_stream = build_q845_swap_only_dispatch_harness(None); + let explicit_off_stream = build_q845_swap_only_dispatch_harness(Some(false)); + assert_q845_fusion_builder_identity(&default_stream, &explicit_off_stream); + + std::env::remove_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG); + let default_guard_stream = build_q845_swap_only_dispatch_harness(Some(true)); + std::env::set_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, "0"); + let explicit_off_guard_stream = build_q845_swap_only_dispatch_harness(Some(true)); + assert_q845_fusion_builder_identity(&default_guard_stream, &explicit_off_guard_stream); + let truncated_guard_default_off_stream_identity_checks = 1usize; + + std::env::set_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, "1"); + std::env::remove_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG); + assert!(!q845_swap_only_coefficient_dependencies_satisfied()); + std::env::set_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, "1"); + std::env::remove_var(PROMISED_LQ_SWAP_BORROW_FLAG); + assert!(!q845_swap_only_swap_dependencies_satisfied()); + std::env::set_var(PROMISED_LQ_SWAP_BORROW_FLAG, "1"); + assert!(q845_swap_only_coefficient_dependencies_satisfied()); + assert!(q845_swap_only_swap_dependencies_satisfied()); + let mut dependency_checks = 4usize; + std::env::set_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, "1"); + std::env::remove_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG); + assert!(!q845_swap_only_coefficient_dependencies_satisfied()); + std::env::set_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, "1"); + assert!(q845_swap_only_coefficient_dependencies_satisfied()); + dependency_checks += 2; + + std::env::set_var("LOWQ_DIRECT_PREFIX_BITLEN", "1"); + std::env::set_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN", "1"); + assert_eq!( + std::env::var("LOWQ_DIRECT_PREFIX_BITLEN").ok().as_deref(), + Some("1") + ); + assert_eq!( + std::env::var("LOWQ_FUSED_ZERO_PREFIX_BITLEN") + .ok() + .as_deref(), + Some("1") + ); + dependency_checks += 2; + std::env::set_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, "1"); + std::env::set_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, "1"); + std::env::set_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, "1"); + let full_feature_environment_checks = [ + PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, + COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, + Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, + PROMISED_LQ_SWAP_BORROW_FLAG, + PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, + ] + .into_iter() + .filter(|flag| std::env::var(flag).ok().as_deref() == Some("1")) + .count(); + assert_eq!(full_feature_environment_checks, 7); + + let mut truncated_range_comparator_cases_checked = 0usize; + for width in 2usize..=4 { + let modulus = 1usize << width; + for value in 0..=modulus { + let harness = build_q851_range_comparator_harness(width, value); + assert!(harness.builder.next_qubit < 64); + for register in 0..modulus { + for target in [false, true] { + let mut input = q845_fusion_set_register( + 0, + &harness.register_ids, + register, + ); + input |= u64::from(target) << harness.target_id; + let output = apply_q845_fusion_classical_with_clean_resets( + &harness.builder.ops, + input, + ); + let expected = target ^ (register >= value); + assert_eq!(((output >> harness.target_id) & 1) != 0, expected); + assert_eq!( + q845_fusion_read_register(output, &harness.register_ids), + register + ); + assert_eq!(output & !harness.external_mask, 0); + truncated_range_comparator_cases_checked += 1; + } + } + } + } + + let trace_physical_width = 7usize; + let trace_length_width = 3usize; + let mut truncated_guard_layout_cases_checked = 0usize; + let mut truncated_guard_trace_checks = 0usize; + for trace_scan_width in 1..=trace_physical_width { + let baseline = build_q851_truncated_guard_trace_harness( + trace_physical_width, + trace_scan_width, + trace_length_width, + false, + ); + let candidate = build_q851_truncated_guard_trace_harness( + trace_physical_width, + trace_scan_width, + trace_length_width, + true, + ); + assert_eq!(baseline.l_s_ids, candidate.l_s_ids); + assert_eq!(baseline.l_r_prime_ids, candidate.l_r_prime_ids); + assert_eq!(baseline.forward_trace_ids, candidate.forward_trace_ids); + assert_eq!(baseline.reverse_trace_ids, candidate.reverse_trace_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + truncated_guard_layout_cases_checked += 1; + for shift in 0..=trace_physical_width { + for remainder_length in 0..=trace_physical_width - shift { + let mut input = q845_fusion_set_register(0, &baseline.l_s_ids, shift); + input = q845_fusion_set_register( + input, + &baseline.l_r_prime_ids, + remainder_length, + ); + let baseline_output = apply_q845_fusion_classical_with_clean_resets( + &baseline.builder.ops, + input, + ); + let candidate_output = apply_q845_fusion_classical_with_clean_resets( + &candidate.builder.ops, + input, + ); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & !candidate.external_mask, 0); + let coefficient_width = trace_physical_width - shift - remainder_length; + let active_width = coefficient_width.min(trace_scan_width); + let expected_trace = (1usize << active_width) - 1; + assert_eq!( + q845_fusion_read_register(candidate_output, &candidate.forward_trace_ids), + expected_trace + ); + assert_eq!( + q845_fusion_read_register(candidate_output, &candidate.reverse_trace_ids), + expected_trace + ); + truncated_guard_trace_checks += 1; + } + } + } + + let mut production_truncated_address_cases_checked = 0usize; + let production_modulus = 1usize << REFERENCE_LENGTH_WIDTH; + for step in 1..=REFERENCE_STEPS { + let scan = reference_active_windows(256, step).t_add_sub.1; + let delta = REGISTER_SHARED_WORK_WIDTH - scan; + let mut excluded_values = vec![0usize, delta, REGISTER_SHARED_WORK_WIDTH]; + if delta > 0 { + excluded_values.push(delta - 1); + } + if delta < REGISTER_SHARED_WORK_WIDTH { + excluded_values.push(delta + 1); + } + excluded_values.push(REGISTER_SHARED_WORK_WIDTH - 1); + excluded_values.sort_unstable(); + excluded_values.dedup(); + for excluded in excluded_values { + let coefficient_width = REGISTER_SHARED_WORK_WIDTH - excluded; + let reverse_address = + (excluded + production_modulus - delta) % production_modulus; + let high = coefficient_width > scan; + assert_eq!(reverse_address > scan, high); + + let mut forward_active = true; + for index in 0..=scan { + if coefficient_width == index { + forward_active = !forward_active; + } + if index < scan { + assert_eq!(forward_active, index < coefficient_width); + } + } + forward_active ^= high; + assert!(!forward_active); + + let mut reverse_active = high; + for reverse_index in 0..=scan { + let index = scan - reverse_index; + if index < scan { + assert_eq!(reverse_active, index < coefficient_width); + } + if reverse_address == reverse_index { + reverse_active = !reverse_active; + } + } + reverse_active = !reverse_active; + assert!(!reverse_active); + production_truncated_address_cases_checked += 1; + } + } + + let physical_work_width = 5usize; + let scan_width = 4usize; + let length_width = 3usize; + let r_length_width = 2usize; + let layouts = [(0usize, 0usize), (1, 0), (0, 1), (1, 1), (0, 2)]; + let mut layout_cases_checked = 0usize; + let mut internal_boundary_layout_cases_checked = 0usize; + let mut promised_basis_states_checked = 0usize; + let mut oracle_transition_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut cursor_restore_checks = 0usize; + let mut count_restore_checks = 0usize; + let mut residue_preservation_checks = 0usize; + let mut excluded_suffix_preservation_checks = 0usize; + + for &(shift, r_length) in &layouts { + let coefficient_width = physical_work_width - shift - r_length; + assert!(coefficient_width > 0); + std::env::remove_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG); + let baseline_forward = build_q845_swap_only_core_harness( + physical_work_width, + scan_width, + coefficient_width.min(scan_width), + length_width, + r_length_width, + false, + false, + false, + ); + let baseline_inverse = build_q845_swap_only_core_harness( + physical_work_width, + scan_width, + coefficient_width.min(scan_width), + length_width, + r_length_width, + true, + false, + false, + ); + std::env::set_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG, "1"); + let candidate_forward = build_q845_swap_only_core_harness( + physical_work_width, + scan_width, + scan_width, + length_width, + r_length_width, + false, + true, + true, + ); + let candidate_inverse = build_q845_swap_only_core_harness( + physical_work_width, + scan_width, + scan_width, + length_width, + r_length_width, + true, + true, + true, + ); + assert!(candidate_forward.builder.next_qubit < 64); + assert_eq!(baseline_forward.data_mask, candidate_forward.data_mask); + assert_eq!(baseline_forward.work1_ids, candidate_forward.work1_ids); + assert_eq!(baseline_forward.work2_ids, candidate_forward.work2_ids); + let all_mask = (1u64 << candidate_forward.builder.next_qubit) - 1; + let scratch_mask = all_mask & !candidate_forward.data_mask; + let comparison_mask = candidate_forward.data_mask + & !q845_fusion_id_mask(&candidate_forward.l_t_prime_ids) + & !(1u64 << candidate_forward.above_guard_id); + let excluded_suffix_mask = candidate_forward + .work1_ids + .iter() + .skip(coefficient_width.min(scan_width)) + .chain( + candidate_forward + .work2_ids + .iter() + .skip(coefficient_width.min(scan_width)), + ) + .fold(0u64, |mask, id| mask | (1u64 << id)); + layout_cases_checked += 1; + internal_boundary_layout_cases_checked += usize::from(coefficient_width < scan_width); + for active_width in 1..=coefficient_width.min(scan_width) { + let active_mask = (1usize << active_width) - 1; + let source_mask = (1usize << active_width.saturating_sub(1)) - 1; + for phase1 in [false, true] { + for phase2 in [false, true] { + for sign in [false, true] { + let enable = phase1 && (phase2 || !sign); + let add_only = phase1 && !enable; + for work1 in 0..(1usize << scan_width) { + if work1 & (1usize << (active_width - 1)) != 0 { + continue; + } + let source = work1 & source_mask; + for work2 in 0..(1usize << physical_work_width) { + let target = + work2 & ((1usize << coefficient_width.min(scan_width)) - 1); + let target_low = target & active_mask; + let above_guard = target >> active_width != 0; + if add_only + && (above_guard + || target_low + >= (1usize << active_width.saturating_sub(1))) + { + continue; + } + if add_only && target_low + source > active_mask { + continue; + } + + let mut baseline_input = 0u64; + baseline_input |= u64::from(phase1) << baseline_forward.phase1_id; + baseline_input |= u64::from(phase2) << baseline_forward.phase2_id; + baseline_input |= u64::from(sign) << baseline_forward.sign_id; + baseline_input = q845_fusion_set_register( + baseline_input, + &baseline_forward.work1_ids, + work1, + ); + baseline_input = q845_fusion_set_register( + baseline_input, + &baseline_forward.work2_ids, + work2, + ); + baseline_input = q845_fusion_set_register( + baseline_input, + &baseline_forward.l_t_ids, + active_width - 1, + ); + baseline_input = q845_fusion_set_register( + baseline_input, + &baseline_forward.l_s_ids, + shift, + ); + baseline_input = q845_fusion_set_register( + baseline_input, + &baseline_forward.l_r_prime_ids, + r_length, + ); + baseline_input |= + u64::from(above_guard) << baseline_forward.above_guard_id; + let candidate_input = + baseline_input & !(1u64 << baseline_forward.above_guard_id); + + let baseline_output = + apply_q845_fusion_classical_with_clean_resets( + &baseline_forward.builder.ops, + baseline_input, + ); + let candidate_output = + apply_q845_fusion_classical_with_clean_resets( + &candidate_forward.builder.ops, + candidate_input, + ); + assert_eq!( + candidate_output & comparison_mask, + baseline_output & comparison_mask + ); + assert_eq!(candidate_output & scratch_mask, 0); + assert_eq!( + candidate_output + & q845_fusion_id_mask( + &candidate_forward.l_t_prime_ids, + ), + 0 + ); + assert_eq!( + candidate_output + & (1u64 << candidate_forward.above_guard_id), + 0 + ); + assert_eq!( + apply_q845_fusion_classical_with_clean_resets( + &candidate_inverse.builder.ops, + candidate_output, + ), + candidate_input + ); + assert_eq!( + apply_q845_fusion_classical_with_clean_resets( + &baseline_inverse.builder.ops, + baseline_output, + ), + baseline_input + ); + assert_eq!( + candidate_output & excluded_suffix_mask, + candidate_input & excluded_suffix_mask + ); + promised_basis_states_checked += 1; + oracle_transition_checks += 1; + inverse_pair_checks += 1; + scratch_clean_checks += 1; + cursor_restore_checks += 1; + count_restore_checks += 1; + residue_preservation_checks += 1; + excluded_suffix_preservation_checks += 1; + } + } + } + } + } + } + } + + std::env::remove_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG); + + let swap_work_width = 3usize; + let baseline_swap_forward = build_q845_ephemeral_swap_harness( + swap_work_width, + length_width, + r_length_width, + false, + true, + false, + ); + let baseline_swap_inverse = build_q845_ephemeral_swap_harness( + swap_work_width, + length_width, + r_length_width, + true, + true, + false, + ); + let candidate_swap_forward = build_q845_ephemeral_swap_harness( + swap_work_width, + length_width, + r_length_width, + false, + true, + true, + ); + let candidate_swap_inverse = build_q845_ephemeral_swap_harness( + swap_work_width, + length_width, + r_length_width, + true, + true, + true, + ); + let persistent_swap_forward = build_q845_ephemeral_swap_harness( + swap_work_width, + length_width, + r_length_width, + false, + false, + true, + ); + let persistent_swap_inverse = build_q845_ephemeral_swap_harness( + swap_work_width, + length_width, + r_length_width, + true, + false, + true, + ); + assert_eq!( + baseline_swap_forward.data_ids, + candidate_swap_forward.data_ids + ); + assert_eq!( + baseline_swap_forward.external_mask, + candidate_swap_forward.external_mask + ); + assert_eq!( + persistent_swap_forward.data_ids, + candidate_swap_forward.data_ids + ); + assert_eq!( + persistent_swap_forward.external_mask, + candidate_swap_forward.external_mask + ); + let lifecycle_comparison_mask = candidate_swap_forward.external_mask + & !q845_fusion_id_mask(&candidate_swap_forward.l_t_prime_ids); + let mut swap_inputs = Vec::new(); + let mut swap_outputs = Vec::new(); + let mut ephemeral_swap_cases_checked = 0usize; + let mut ephemeral_control_on_checks = 0usize; + let mut ephemeral_control_off_checks = 0usize; + let mut persistent_lifecycle_equivalence_checks = 0usize; + let mut ephemeral_inverse_pair_checks = 0usize; + let mut ephemeral_l_t_prime_zero_checks = 0usize; + let swap_mask = (1usize << swap_work_width) - 1; + for t in 1..=swap_mask { + for r in 0..=swap_mask { + let l_t = q845_test_bit_length(t); + let l_r = q845_test_bit_length(r); + if l_t + 1 + l_r > swap_work_width { + continue; + } + let work1 = q845_test_pack_work1(swap_work_width, t, r); + for t_prime in 0..=swap_mask { + for r_prime in 0..=swap_mask { + let l_t_prime = q845_test_bit_length(t_prime); + let l_r_prime = q845_test_bit_length(r_prime); + if l_t_prime + l_r_prime > swap_work_width { + continue; + } + let work2 = + q845_test_pack_work2(swap_work_width, t_prime, r_prime); + for iteration in [false, true] { + let mut input = u64::from(iteration) + << candidate_swap_forward.iteration_id; + input = q845_fusion_set_register( + input, + &candidate_swap_forward.work1_ids, + work1, + ); + input = q845_fusion_set_register( + input, + &candidate_swap_forward.work2_ids, + work2, + ); + input = q845_fusion_set_register( + input, + &candidate_swap_forward.l_t_ids, + l_t, + ); + input = q845_fusion_set_register( + input, + &candidate_swap_forward.l_r_prime_ids, + l_r_prime, + ); + let baseline_output = apply_scalar( + &baseline_swap_forward.builder.ops, + input, + ); + let candidate_output = apply_scalar( + &candidate_swap_forward.builder.ops, + input, + ); + let persistent_input = q845_fusion_set_register( + input, + &persistent_swap_forward.l_t_prime_ids, + l_t_prime, + ); + let persistent_output = apply_scalar( + &persistent_swap_forward.builder.ops, + persistent_input, + ); + assert_eq!(candidate_output, baseline_output); + assert_eq!( + candidate_output & lifecycle_comparison_mask, + persistent_output & lifecycle_comparison_mask + ); + assert_eq!( + candidate_output & !candidate_swap_forward.external_mask, + 0 + ); + assert_eq!( + q845_fusion_set_register( + candidate_output, + &candidate_swap_forward.work1_ids, + work2, + ) & q845_fusion_id_mask(&candidate_swap_forward.work1_ids), + candidate_output & q845_fusion_id_mask(&candidate_swap_forward.work1_ids) + ); + assert_eq!( + q845_fusion_set_register( + candidate_output, + &candidate_swap_forward.work2_ids, + work1, + ) & q845_fusion_id_mask(&candidate_swap_forward.work2_ids), + candidate_output & q845_fusion_id_mask(&candidate_swap_forward.work2_ids) + ); + assert_eq!( + q845_fusion_set_register( + candidate_output, + &candidate_swap_forward.l_t_ids, + l_t_prime, + ) & q845_fusion_id_mask(&candidate_swap_forward.l_t_ids), + candidate_output & q845_fusion_id_mask(&candidate_swap_forward.l_t_ids) + ); + assert_eq!( + q845_fusion_set_register( + candidate_output, + &candidate_swap_forward.l_r_prime_ids, + l_r, + ) & q845_fusion_id_mask(&candidate_swap_forward.l_r_prime_ids), + candidate_output + & q845_fusion_id_mask(&candidate_swap_forward.l_r_prime_ids) + ); + assert_eq!( + candidate_output + & q845_fusion_id_mask( + &candidate_swap_forward.l_t_prime_ids, + ), + 0 + ); + assert_eq!( + candidate_output + & q845_fusion_id_mask(&candidate_swap_forward.l_q_ids), + 0 + ); + assert_eq!( + candidate_output + & q845_fusion_id_mask(&candidate_swap_forward.l_s_ids), + 0 + ); + assert_eq!( + ((candidate_output >> candidate_swap_forward.iteration_id) & 1) != 0, + !iteration + ); + assert_eq!( + apply_scalar(&candidate_swap_inverse.builder.ops, candidate_output), + input + ); + assert_eq!( + apply_scalar(&baseline_swap_inverse.builder.ops, baseline_output), + input + ); + assert_eq!( + apply_scalar( + &persistent_swap_inverse.builder.ops, + persistent_output, + ), + persistent_input + ); + swap_inputs.push(q845_pack_data_value( + &candidate_swap_forward.data_ids, + input, + )); + swap_outputs.push(q845_pack_data_value( + &candidate_swap_forward.data_ids, + candidate_output, + )); + ephemeral_swap_cases_checked += 1; + ephemeral_control_on_checks += 1; + persistent_lifecycle_equivalence_checks += 1; + ephemeral_inverse_pair_checks += 1; + ephemeral_l_t_prime_zero_checks += 1; + + for (blocked_l_q, blocked_l_s) in [(1usize, 0usize), (0, 1)] { + let mut blocked_input = q845_fusion_set_register( + input, + &candidate_swap_forward.l_q_ids, + blocked_l_q, + ); + blocked_input = q845_fusion_set_register( + blocked_input, + &candidate_swap_forward.l_s_ids, + blocked_l_s, + ); + let blocked_persistent_input = q845_fusion_set_register( + blocked_input, + &persistent_swap_forward.l_t_prime_ids, + l_t_prime, + ); + let blocked_baseline_output = apply_scalar( + &baseline_swap_forward.builder.ops, + blocked_input, + ); + let blocked_candidate_output = apply_scalar( + &candidate_swap_forward.builder.ops, + blocked_input, + ); + let blocked_persistent_output = apply_scalar( + &persistent_swap_forward.builder.ops, + blocked_persistent_input, + ); + assert_eq!(blocked_baseline_output, blocked_input); + assert_eq!(blocked_candidate_output, blocked_input); + assert_eq!(blocked_persistent_output, blocked_persistent_input); + assert_eq!( + blocked_candidate_output & lifecycle_comparison_mask, + blocked_persistent_output & lifecycle_comparison_mask + ); + assert_eq!( + apply_scalar( + &candidate_swap_inverse.builder.ops, + blocked_candidate_output, + ), + blocked_input + ); + assert_eq!( + apply_scalar( + &baseline_swap_inverse.builder.ops, + blocked_baseline_output, + ), + blocked_input + ); + assert_eq!( + apply_scalar( + &persistent_swap_inverse.builder.ops, + blocked_persistent_output, + ), + blocked_persistent_input + ); + swap_inputs.push(q845_pack_data_value( + &candidate_swap_forward.data_ids, + blocked_input, + )); + swap_outputs.push(q845_pack_data_value( + &candidate_swap_forward.data_ids, + blocked_candidate_output, + )); + ephemeral_swap_cases_checked += 1; + ephemeral_control_off_checks += 1; + persistent_lifecycle_equivalence_checks += 1; + ephemeral_inverse_pair_checks += 1; + ephemeral_l_t_prime_zero_checks += 1; + } + } + } + } + } + } + let (_, forward_phase_checks, forward_ancilla_checks) = + verify_q847_selected_simulator_equivalence( + b"q845-ephemeral-swap-forward", + &baseline_swap_forward.builder, + &candidate_swap_forward.builder, + &baseline_swap_forward.data_ids, + baseline_swap_forward.external_mask, + &swap_inputs, + ); + let (_, inverse_phase_checks, inverse_ancilla_checks) = + verify_q847_selected_simulator_equivalence( + b"q845-ephemeral-swap-inverse", + &baseline_swap_inverse.builder, + &candidate_swap_inverse.builder, + &baseline_swap_inverse.data_ids, + baseline_swap_inverse.external_mask, + &swap_outputs, + ); + let ephemeral_phase_clean_checks = forward_phase_checks + inverse_phase_checks; + let ephemeral_ancilla_clean_checks = forward_ancilla_checks + inverse_ancilla_checks; + + match saved_swap_only { + Some(value) => std::env::set_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, value), + None => std::env::remove_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG), + } + match saved_truncated_guard { + Some(value) => std::env::set_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, value), + None => std::env::remove_var(Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG), + } + match saved_inplace_guard { + Some(value) => std::env::set_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG, value), + None => std::env::remove_var(SUB800_INPLACE_GUARD_ADDRESS_FLAG), + } + match saved_fusion { + Some(value) => std::env::set_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, value), + None => std::env::remove_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG), + } + match saved_promised { + Some(value) => std::env::set_var(PROMISED_LQ_SWAP_BORROW_FLAG, value), + None => std::env::remove_var(PROMISED_LQ_SWAP_BORROW_FLAG), + } + match saved_support_fusion { + Some(value) => { + std::env::set_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, value) + } + None => std::env::remove_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG), + } + match saved_paired_source { + Some(value) => std::env::set_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG, value), + None => std::env::remove_var(PAIRED_BITLEN_SOURCE_COMPLEMENT_FLAG), + } + match saved_coefficient_x { + Some(value) => std::env::set_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, value), + None => std::env::remove_var(COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG), + } + match saved_direct_prefix { + Some(value) => std::env::set_var("LOWQ_DIRECT_PREFIX_BITLEN", value), + None => std::env::remove_var("LOWQ_DIRECT_PREFIX_BITLEN"), + } + match saved_fused_zero_prefix { + Some(value) => std::env::set_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN", value), + None => std::env::remove_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN"), + } + + Q845SwapOnlyCoefficientProofReport { + dependency_checks, + full_feature_environment_checks, + truncated_guard_default_off_stream_identity_checks, + truncated_range_comparator_cases_checked, + truncated_guard_layout_cases_checked, + truncated_guard_trace_checks, + production_truncated_address_cases_checked, + layout_cases_checked, + internal_boundary_layout_cases_checked, + promised_basis_states_checked, + oracle_transition_checks, + inverse_pair_checks, + scratch_clean_checks, + cursor_restore_checks, + count_restore_checks, + residue_preservation_checks, + excluded_suffix_preservation_checks, + default_off_stream_identity_checks: 1, + ephemeral_swap_cases_checked, + ephemeral_control_on_checks, + ephemeral_control_off_checks, + persistent_lifecycle_equivalence_checks, + ephemeral_inverse_pair_checks, + ephemeral_l_t_prime_zero_checks, + ephemeral_phase_clean_checks, + ephemeral_ancilla_clean_checks, + } +} + +/// Prove the carry-in guarded comparison and the zero-spill fused coefficient +/// core independently of the full point-add count. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q845_lifetime_coefficient_fusion_check( +) -> Q845LifetimeCoefficientFusionProofReport { + const LENGTH_WIDTH: usize = 4; + + let saved = std::env::var_os(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG); + let default_stream = build_q845_fusion_dispatch_harness(None, false); + let explicit_off_stream = build_q845_fusion_dispatch_harness(Some(false), false); + assert_q845_fusion_builder_identity(&default_stream, &explicit_off_stream); + let default_off_stream_identity_checks = 1; + let candidate_stream = build_q845_fusion_dispatch_harness(Some(true), false); + let direct_stream = build_q845_fusion_dispatch_harness(Some(false), true); + assert_q845_fusion_builder_identity(&candidate_stream, &direct_stream); + let dispatch_stream_identity_checks = 1; + set_q845_lifetime_fusion_proof_mode(Some(true)); + + let mut guard_basis_states_checked = 0usize; + let mut guard_scratch_clean_checks = 0usize; + let mut guard_carry_out_cases_checked = 0usize; + for length_width in 1..=4 { + let guard = build_q845_fusion_guard_harness(length_width); + assert!(guard.builder.next_qubit < 64); + let all_mask = (1u64 << guard.builder.next_qubit) - 1; + let scratch_mask = all_mask & !guard.data_mask; + let modulus = 1usize << length_width; + for control in [false, true] { + for target_bit in [false, true] { + for target_length in 0..modulus { + for source_length in 0..modulus { + for shift in 0..modulus { + let mut input = 0u64; + input |= u64::from(control) << guard.control_id; + input |= u64::from(target_bit) << guard.target_id; + input = q845_fusion_set_register( + input, + &guard.target_length_ids, + target_length, + ); + input = q845_fusion_set_register( + input, + &guard.source_length_ids, + source_length, + ); + input = q845_fusion_set_register(input, &guard.shift_ids, shift); + let output = apply_q845_fusion_classical_with_clean_resets( + &guard.builder.ops, + input, + ); + let toggle = + control && target_length > source_length + shift + 1; + let expected = if toggle { + input ^ (1u64 << guard.target_id) + } else { + input + }; + assert_eq!(output & guard.data_mask, expected); + assert_eq!(output & scratch_mask, 0); + guard_basis_states_checked += 1; + guard_scratch_clean_checks += 1; + guard_carry_out_cases_checked += + usize::from(source_length + shift + 1 >= modulus); + } + } + } + } + } + } + + let mut packed_basis_states_checked = 0usize; + let mut packed_rotation_mapping_checks = 0usize; + let mut packed_wrapped_residue_checks = 0usize; + let mut packed_source_guard_clean_checks = 0usize; + let mut packed_underflow_equivalence_checks = 0usize; + let mut packed_add_headroom_checks = 0usize; + for packed_width in 2..=8 { + let packed_mask = (1usize << packed_width) - 1; + for shift in 0..packed_width { + for active_width in 1..=packed_width - shift { + let active_mask = (1usize << active_width) - 1; + let source_mask = (1usize << (active_width - 1)) - 1; + for target in 0..=packed_mask { + let rotated = if shift == 0 { + target + } else { + ((target >> shift) | (target << (packed_width - shift))) & packed_mask + }; + let quotient = target >> shift; + assert_eq!(rotated & active_mask, quotient & active_mask); + packed_rotation_mapping_checks += 1; + if shift > 0 { + assert_eq!( + rotated >> (packed_width - shift), + target & ((1usize << shift) - 1) + ); + packed_wrapped_residue_checks += 1; + } + let above_guard = target >> (shift + active_width) != 0; + assert_eq!(above_guard, quotient > active_mask); + for source in 0..=source_mask { + let shifted_source = source << shift; + let rotated_source = if shift == 0 { + shifted_source + } else { + ((shifted_source >> shift) + | (shifted_source << (packed_width - shift))) + & packed_mask + }; + assert_eq!(rotated_source, source); + assert_eq!(rotated_source & (1usize << (active_width - 1)), 0); + packed_source_guard_clean_checks += 1; + let fused_underflow = + !above_guard && (quotient & active_mask) < source; + assert_eq!(fused_underflow, target < shifted_source); + packed_underflow_equivalence_checks += 1; + + if target < (1usize << (shift + active_width - 1)) { + let sum = target + shifted_source; + assert!(sum < (1usize << (shift + active_width))); + let rotated_sum = if shift == 0 { + sum + } else { + ((sum >> shift) | (sum << (packed_width - shift))) & packed_mask + }; + assert_eq!( + rotated_sum & active_mask, + (quotient & active_mask) + source + ); + if shift > 0 { + assert_eq!( + rotated_sum >> (packed_width - shift), + rotated >> (packed_width - shift) + ); + } + packed_add_headroom_checks += 1; + } + } + packed_basis_states_checked += 1; + } + } + } + } + + let mut active_width_cases_checked = 0usize; + let mut promised_basis_states_checked = 0usize; + let mut oracle_transition_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut control_off_identity_checks = 0usize; + let mut underflow_checks = 0usize; + let mut above_guard_checks = 0usize; + let mut add_headroom_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut cursor_restore_checks = 0usize; + for work_width in 2..=5 { + let forward = build_q845_fusion_core_harness(work_width, LENGTH_WIDTH, false); + let inverse = build_q845_fusion_core_harness(work_width, LENGTH_WIDTH, true); + assert_eq!(forward.data_mask, inverse.data_mask); + assert!(forward.builder.next_qubit < 64); + let all_mask = (1u64 << forward.builder.next_qubit) - 1; + let scratch_mask = all_mask & !forward.data_mask; + for active_width in 1..=work_width { + active_width_cases_checked += 1; + let active_mask = (1usize << active_width) - 1; + let source_mask = (1usize << active_width.saturating_sub(1)) - 1; + for phase1 in [false, true] { + for phase2 in [false, true] { + for sign in [false, true] { + let enable = phase1 && (phase2 || !sign); + let add_only = phase1 && !enable; + for work1 in 0..(1usize << work_width) { + if work1 & (1usize << (active_width - 1)) != 0 { + continue; + } + let source = work1 & source_mask; + for target in 0..(1usize << work_width) { + let target_low = target & active_mask; + for above_guard in [false, true] { + if add_only + && (above_guard + || target_low + >= (1usize + << active_width.saturating_sub(1))) + { + continue; + } + let sum = target_low + source; + if add_only && sum > active_mask { + continue; + } + let underflow = + enable && !above_guard && target_low < source; + let mut input = 0u64; + input |= u64::from(phase1) << forward.phase1_id; + input |= u64::from(phase2) << forward.phase2_id; + input |= u64::from(sign) << forward.sign_id; + input = q845_fusion_set_register( + input, + &forward.work1_ids, + work1, + ); + input = q845_fusion_set_register( + input, + &forward.work2_ids, + target, + ); + input = q845_fusion_set_register( + input, + &forward.length_ids, + active_width - 1, + ); + input |= + u64::from(above_guard) << forward.above_guard_id; + let output = apply_q845_fusion_classical_with_clean_resets( + &forward.builder.ops, + input, + ); + assert_eq!(output & scratch_mask, 0); + scratch_clean_checks += 1; + let mut expected = input; + if add_only { + let expected_target = (target & !active_mask) | sum; + expected = q845_fusion_set_register( + expected, + &forward.work2_ids, + expected_target, + ); + add_headroom_checks += 1; + } + if phase1 ^ underflow { + expected ^= 1u64 << forward.sign_id; + } + assert_eq!(output & forward.data_mask, expected); + oracle_transition_checks += 1; + assert_eq!( + apply_q845_fusion_classical_with_clean_resets( + &inverse.builder.ops, + output, + ), + input + ); + inverse_pair_checks += 1; + if !phase1 { + assert_eq!(output, input); + control_off_identity_checks += 1; + } + underflow_checks += usize::from(underflow); + above_guard_checks += usize::from(enable && above_guard); + cursor_restore_checks += 1; + promised_basis_states_checked += 1; + } + } + } + } + } + } + } + } + + match saved { + Some(value) => std::env::set_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, value), + None => std::env::remove_var(Q845_LIFETIME_COEFFICIENT_FUSION_FLAG), + } + Q845LifetimeCoefficientFusionProofReport { + guard_widths_checked: 4, + guard_basis_states_checked, + guard_scratch_clean_checks, + guard_carry_out_cases_checked, + packed_widths_checked: 7, + packed_basis_states_checked, + packed_rotation_mapping_checks, + packed_wrapped_residue_checks, + packed_source_guard_clean_checks, + packed_underflow_equivalence_checks, + packed_add_headroom_checks, + minimum_spill_width: 0, + work_widths_checked: 4, + active_width_cases_checked, + promised_basis_states_checked, + oracle_transition_checks, + inverse_pair_checks, + control_off_identity_checks, + underflow_checks, + above_guard_checks, + add_headroom_checks, + scratch_clean_checks, + cursor_restore_checks, + default_off_stream_identity_checks, + dispatch_stream_identity_checks, + } +} + +struct FusedPrefixScratchLoanHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + source_mask: u64, + lender_mask: u64, + trace: FusedPrefixScratchLoanAllocationTrace, +} + +fn build_fused_prefix_scratch_loan_harness( + source_width: usize, + accumulator_width: usize, + lender_count: usize, + decrement: bool, + direct_unloaned_entry: bool, +) -> FusedPrefixScratchLoanHarness { + let mut circ = Circuit::new(); + let source = circ.alloc_qreg_bits("rs.fused-prefix-loan-proof.source", source_width); + let accumulator = + circ.alloc_qreg_bits("rs.fused-prefix-loan-proof.accumulator", accumulator_width); + let lenders = circ.alloc_qreg_bits("rs.fused-prefix-loan-proof.lender", lender_count); + let source_refs: Vec<&QReg> = source.iter().collect(); + let lender_refs: Vec<&QReg> = lenders.iter().collect(); + let data_ids: Vec = source.iter().chain(&accumulator).map(QReg::id).collect(); + let external_mask = qreg_mask(source.iter().chain(&accumulator).chain(&lenders)); + let source_mask = qreg_mask(&source); + let lender_mask = qreg_mask(&lenders); + + begin_fused_prefix_scratch_loan_allocation_trace(); + if direct_unloaned_entry { + bit_length_lean_allow_zero(&mut circ, &source_refs, &accumulator, decrement); + } else { + bit_length_lean_allow_zero_with_borrowed_scratch( + &mut circ, + &source_refs, + &accumulator, + decrement, + None, + &lender_refs, + ); + } + let trace = finish_fused_prefix_scratch_loan_allocation_trace(); + FusedPrefixScratchLoanHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + source_mask, + lender_mask, + trace, + } +} + +fn fused_prefix_scratch_loan_input(harness: &FusedPrefixScratchLoanHarness, value: u64) -> u64 { + harness + .data_ids + .iter() + .enumerate() + .fold(0u64, |state, (bit, id)| { + state | (((value >> bit) & 1) << id) + }) +} + +fn assert_fused_prefix_scratch_loan_clean( + harness: &FusedPrefixScratchLoanHarness, + state: u64, + context: &str, +) { + assert_eq!(state & harness.lender_mask, 0, "{context}: lender dirty"); + assert_eq!( + state & !harness.external_mask, + 0, + "{context}: internal ancilla dirty" + ); +} + +fn assert_fused_prefix_scratch_loan_stream_identity( + left: &FusedPrefixScratchLoanHarness, + right: &FusedPrefixScratchLoanHarness, +) { + assert_eq!(left.builder.ops, right.builder.ops); + assert_eq!(left.builder.next_qubit, right.builder.next_qubit); + assert_eq!(left.builder.next_bit, right.builder.next_bit); + assert_eq!(left.builder.active_qubits, right.builder.active_qubits); + assert_eq!(left.builder.peak_qubits, right.builder.peak_qubits); + assert_eq!(left.builder.free_qubits, right.builder.free_qubits); + assert_eq!( + left.builder.allocation_serial, + right.builder.allocation_serial + ); +} + +fn verify_fused_prefix_scratch_loan_simulator_equivalence( + baseline: &FusedPrefixScratchLoanHarness, + candidate: &FusedPrefixScratchLoanHarness, +) -> (usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let states = 1usize << baseline.data_ids.len(); + let mut cases_checked = 0usize; + let mut phase_clean_checks = 0usize; + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(b"fused-prefix-scratch-loan-proof"); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.builder.next_qubit as usize, + baseline.builder.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_seed = Shake128::default(); + candidate_seed.update(b"fused-prefix-scratch-loan-proof"); + candidate_seed.update(&(batch_start as u64).to_le_bytes()); + let mut candidate_xof = candidate_seed.finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.builder.next_qubit as usize, + candidate.builder.next_bit as usize, + &mut candidate_xof, + ); + + for shot in 0..shots { + let value = (batch_start + shot) as u64; + for (bit, (&baseline_id, &candidate_id)) in baseline + .data_ids + .iter() + .zip(&candidate.data_ids) + .enumerate() + { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(baseline_id))) |= 1u64 << shot; + *candidate_simulator.qubit_mut(QubitId(u64::from(candidate_id))) |= + 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.builder.ops.iter()); + candidate_simulator.apply_iter(candidate.builder.ops.iter()); + assert_eq!(baseline_simulator.phase & live, 0); + assert_eq!(candidate_simulator.phase & live, 0); + phase_clean_checks += 2 * shots; + + for id in 0..baseline.builder.next_qubit { + let baseline_value = baseline_simulator.qubit(QubitId(u64::from(id))) & live; + if baseline.external_mask & (1u64 << id) != 0 { + assert_eq!( + baseline_value, + candidate_simulator.qubit(QubitId(u64::from(id))) & live + ); + } else { + assert_eq!(baseline_value, 0, "baseline simulator left q{id} dirty"); + } + } + for id in 0..candidate.builder.next_qubit { + if candidate.external_mask & (1u64 << id) == 0 { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "candidate simulator left q{id} dirty" + ); + } + } + cases_checked += shots; + } + (cases_checked, phase_clean_checks) +} + +fn build_fused_prefix_scratch_loan_local_builder( + source_width: usize, + accumulator_width: usize, + lender_count: usize, + decrement: bool, +) -> (B, FusedPrefixScratchLoanAllocationTrace) { + let mut circ = Circuit::new(); + let source = circ.alloc_qreg_bits("rs.fused-prefix-loan-proof.source", source_width); + let accumulator = + circ.alloc_qreg_bits("rs.fused-prefix-loan-proof.accumulator", accumulator_width); + let lenders = circ.alloc_qreg_bits("rs.fused-prefix-loan-proof.lender", lender_count); + let source_refs: Vec<&QReg> = source.iter().collect(); + let lender_refs: Vec<&QReg> = lenders.iter().collect(); + + begin_fused_prefix_scratch_loan_allocation_trace(); + bit_length_lean_allow_zero_with_borrowed_scratch( + &mut circ, + &source_refs, + &accumulator, + decrement, + None, + &lender_refs, + ); + let trace = finish_fused_prefix_scratch_loan_allocation_trace(); + (circ.into_builder(), trace) +} + +fn fused_prefix_scratch_loan_local_resources(builder: &B) -> FusedPrefixScratchLoanLocalResources { + let counts = measurement_classical_gate_counts(&builder.ops); + let active_qubits = builder.active_qubits as usize; + let peak_qubits = builder.peak_qubits as usize; + FusedPrefixScratchLoanLocalResources { + active_qubits, + peak_qubits, + temporary_qubits: peak_qubits - active_qubits, + emitted_ops: builder.ops.len(), + emitted_toffoli: counts.ccx, + } +} + +fn configure_fused_prefix_scratch_loan_proof(enabled: bool) { + configure_raw_bit_length_loan_proof(RawBitLengthZeroMode::Fused, false); + if enabled { + std::env::set_var(FUSED_PREFIX_SCRATCH_LOAN_FLAG, "1"); + } else { + std::env::remove_var(FUSED_PREFIX_SCRATCH_LOAN_FLAG); + } +} + +fn configure_fused_prefix_scratch_loan_kg_reverse_proof() { + configure_fused_prefix_scratch_loan_proof(true); + std::env::set_var( + super::shrunken_pz_state_machine::CALLER_SCRATCH_KG_REVERSE_DECREMENT_FLAG, + "1", + ); +} + +fn fused_prefix_scratch_loan_rejections() -> usize { + use std::panic::{catch_unwind, AssertUnwindSafe}; + + fn build_rejection(kind: usize) { + configure_fused_prefix_scratch_loan_proof(true); + let mut circ = Circuit::new(); + let source = circ.alloc_qreg_bits("rs.fused-prefix-loan-reject.source", 2); + let output = circ.alloc_qreg_bits("rs.fused-prefix-loan-reject.output", 3); + let lenders = circ.alloc_qreg_bits("rs.fused-prefix-loan-reject.lender", 10); + let source_refs: Vec<&QReg> = source.iter().collect(); + let lender_refs: Vec<&QReg> = match kind { + 0 => vec![&lenders[0], &lenders[0]], + 1 => vec![&source[0]], + 2 => vec![&output[0]], + 3 => lenders.iter().collect(), + 4 | 5 => vec![&lenders[0]], + _ => unreachable!(), + }; + if kind == 4 { + std::env::remove_var("LOWQ_FUSED_ZERO_PREFIX_BITLEN"); + } + if kind == 5 { + std::env::remove_var("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH"); + } + bit_length_lean_allow_zero_with_borrowed_scratch( + &mut circ, + &source_refs, + &output, + false, + None, + &lender_refs, + ); + } + + let previous_hook = std::panic::take_hook(); + std::panic::set_hook(Box::new(|_| {})); + let mut rejected = 0usize; + for kind in 0..6 { + let result = catch_unwind(AssertUnwindSafe(|| build_rejection(kind))); + assert!( + result.is_err(), + "fused-prefix loan rejection {kind} unexpectedly passed" + ); + rejected += 1; + } + std::panic::set_hook(previous_hook); + configure_fused_prefix_scratch_loan_proof(false); + rejected +} + +/// Exhaustively verify partial borrowing for the nine-lane fused-prefix +/// layout. The three-, seven-, eight-, and nine-lender shapes are exact +/// production layouts in the coefficient and sub-800 swap routes. +#[doc(hidden)] +pub fn exhaustive_fused_prefix_scratch_loan_check() -> FusedPrefixScratchLoanProofReport { + assert!( + std::env::var_os(FUSED_PREFIX_SCRATCH_LOAN_FLAG).is_none(), + "the fused-prefix scratch loan must default off" + ); + assert!( + std::env::var_os( + super::shrunken_pz_state_machine::CALLER_SCRATCH_KG_REVERSE_DECREMENT_FLAG, + ) + .is_none(), + "the caller-scratch KG reverse decrement must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + const MAX_SOURCE_WIDTH: usize = 8; + const ACCUMULATOR_WIDTH: usize = 5; + let lender_modes = [3usize, 7usize, 8usize, 9usize]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut source_restore_checks = 0usize; + let mut lender_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut kg_reverse_composition_checks = 0usize; + let mut kg_reverse_simulator_checks = 0usize; + let mut kg_reverse_phase_clean_checks = 0usize; + let mut kg_reverse_inverse_pair_checks = 0usize; + let mut kg_reverse_scratch_clean_checks = 0usize; + let mut kg_reverse_changed_streams = 0usize; + let mut three_lender_trace = None; + let mut seven_lender_trace = None; + let mut eight_lender_trace = None; + let mut nine_lender_trace = None; + + for source_width in 0..=MAX_SOURCE_WIDTH { + for lender_count in lender_modes { + configure_fused_prefix_scratch_loan_proof(false); + let baseline_add = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + false, + false, + ); + let baseline_sub = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + true, + false, + ); + configure_fused_prefix_scratch_loan_proof(true); + let candidate_add = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + false, + false, + ); + let candidate_sub = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + true, + false, + ); + configure_fused_prefix_scratch_loan_kg_reverse_proof(); + let composed_add = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + false, + false, + ); + let composed_sub = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + true, + false, + ); + if source_width != 0 { + for baseline in [&baseline_add, &baseline_sub] { + assert_eq!(baseline.trace.calls, 1); + assert_eq!(baseline.trace.owned_lanes, 9); + assert_eq!(baseline.trace.borrowed_lanes, 0); + } + for candidate in [&candidate_add, &candidate_sub] { + assert_eq!(candidate.trace.calls, 1); + assert_eq!(candidate.trace.owned_lanes, 9 - lender_count); + assert_eq!(candidate.trace.borrowed_lanes, lender_count); + } + assert_eq!(composed_add.trace, candidate_add.trace); + assert_eq!(composed_sub.trace, candidate_sub.trace); + if source_width == MAX_SOURCE_WIDTH { + match lender_count { + 3 => three_lender_trace = Some(candidate_add.trace), + 7 => seven_lender_trace = Some(candidate_add.trace), + 8 => eight_lender_trace = Some(candidate_add.trace), + 9 => nine_lender_trace = Some(candidate_add.trace), + _ => unreachable!(), + } + } + } + + for (baseline, candidate) in [ + (&baseline_add, &candidate_add), + (&baseline_sub, &candidate_sub), + ] { + let (cases, phases) = + verify_fused_prefix_scratch_loan_simulator_equivalence(baseline, candidate); + simulator_equivalence_checks += cases; + phase_clean_checks += phases; + } + for (candidate, composed) in [ + (&candidate_add, &composed_add), + (&candidate_sub, &composed_sub), + ] { + if candidate.builder.ops != composed.builder.ops { + kg_reverse_changed_streams += 1; + } + let (cases, phases) = + verify_fused_prefix_scratch_loan_simulator_equivalence(candidate, composed); + kg_reverse_simulator_checks += cases; + kg_reverse_phase_clean_checks += phases; + } + + let data_states = 1u64 << baseline_add.data_ids.len(); + for value in 0..data_states { + let input = fused_prefix_scratch_loan_input(&baseline_add, value); + let baseline_added = apply_scalar(&baseline_add.builder.ops, input); + let candidate_added = apply_scalar(&candidate_add.builder.ops, input); + let baseline_subtracted = apply_scalar(&baseline_sub.builder.ops, input); + let candidate_subtracted = apply_scalar(&candidate_sub.builder.ops, input); + let composed_added = apply_scalar(&composed_add.builder.ops, input); + let composed_subtracted = apply_scalar(&composed_sub.builder.ops, input); + assert_eq!(candidate_added, baseline_added); + assert_eq!(candidate_subtracted, baseline_subtracted); + assert_eq!(composed_added, candidate_added); + assert_eq!(composed_subtracted, candidate_subtracted); + for (harness, state, context) in [ + (&baseline_add, baseline_added, "baseline add"), + (&candidate_add, candidate_added, "candidate add"), + (&baseline_sub, baseline_subtracted, "baseline subtract"), + (&candidate_sub, candidate_subtracted, "candidate subtract"), + ] { + assert_fused_prefix_scratch_loan_clean(harness, state, context); + } + for (harness, state, context) in [ + (&composed_add, composed_added, "KG reverse composed add"), + ( + &composed_sub, + composed_subtracted, + "KG reverse composed subtract", + ), + ] { + assert_fused_prefix_scratch_loan_clean(harness, state, context); + } + assert_eq!( + candidate_added & candidate_add.source_mask, + input & candidate_add.source_mask + ); + assert_eq!( + candidate_subtracted & candidate_sub.source_mask, + input & candidate_sub.source_mask + ); + assert_eq!( + apply_scalar(&candidate_sub.builder.ops, candidate_added), + input + ); + assert_eq!( + apply_scalar(&candidate_add.builder.ops, candidate_subtracted), + input + ); + assert_eq!( + apply_scalar(&composed_sub.builder.ops, composed_added), + input + ); + assert_eq!( + apply_scalar(&composed_add.builder.ops, composed_subtracted), + input + ); + basis_states_checked += 2; + scalar_equivalence_checks += 2; + inverse_pair_checks += 2; + source_restore_checks += 2; + lender_clean_checks += 2; + ancilla_clean_checks += 4; + kg_reverse_composition_checks += 2; + kg_reverse_inverse_pair_checks += 2; + kg_reverse_scratch_clean_checks += 2; + } + } + } + + let mut default_stream_identity_checks = 0usize; + configure_fused_prefix_scratch_loan_proof(false); + for source_width in 0..=MAX_SOURCE_WIDTH { + for lender_count in lender_modes { + for decrement in [false, true] { + let configured = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + decrement, + false, + ); + let direct = build_fused_prefix_scratch_loan_harness( + source_width, + ACCUMULATOR_WIDTH, + lender_count, + decrement, + true, + ); + assert_fused_prefix_scratch_loan_stream_identity(&configured, &direct); + default_stream_identity_checks += 1; + } + } + } + + configure_fused_prefix_scratch_loan_proof(false); + let (baseline_local_builder, baseline_local_trace) = + build_fused_prefix_scratch_loan_local_builder(259, 10, 9, false); + configure_fused_prefix_scratch_loan_proof(true); + let (candidate_local_builder, candidate_local_trace) = + build_fused_prefix_scratch_loan_local_builder(259, 10, 9, false); + let baseline_local = fused_prefix_scratch_loan_local_resources(&baseline_local_builder); + let candidate_local = fused_prefix_scratch_loan_local_resources(&candidate_local_builder); + assert_eq!(baseline_local.active_qubits, candidate_local.active_qubits); + assert_eq!(candidate_local.peak_qubits + 9, baseline_local.peak_qubits); + assert_eq!( + candidate_local.emitted_toffoli, + baseline_local.emitted_toffoli + ); + assert_eq!(candidate_local.emitted_ops + 9, baseline_local.emitted_ops); + + let alias_rejections = fused_prefix_scratch_loan_rejections(); + let three_lender_trace = three_lender_trace.expect("three-lender allocation trace"); + let seven_lender_trace = seven_lender_trace.expect("seven-lender allocation trace"); + let eight_lender_trace = eight_lender_trace.expect("eight-lender allocation trace"); + let nine_lender_trace = nine_lender_trace.expect("nine-lender allocation trace"); + FusedPrefixScratchLoanProofReport { + source_widths_checked: MAX_SOURCE_WIDTH + 1, + maximum_source_width: MAX_SOURCE_WIDTH, + accumulator_width: ACCUMULATOR_WIDTH, + lender_modes_checked: lender_modes.len(), + directions_checked: 2, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + phase_clean_checks, + inverse_pair_checks, + source_restore_checks, + lender_clean_checks, + ancilla_clean_checks, + default_stream_identity_checks, + kg_reverse_composition_checks, + kg_reverse_simulator_checks, + kg_reverse_phase_clean_checks, + kg_reverse_inverse_pair_checks, + kg_reverse_scratch_clean_checks, + kg_reverse_changed_streams, + alias_rejections, + three_lender_owned_lanes: three_lender_trace.owned_lanes, + three_lender_borrowed_lanes: three_lender_trace.borrowed_lanes, + seven_lender_owned_lanes: seven_lender_trace.owned_lanes, + seven_lender_borrowed_lanes: seven_lender_trace.borrowed_lanes, + eight_lender_owned_lanes: eight_lender_trace.owned_lanes, + eight_lender_borrowed_lanes: eight_lender_trace.borrowed_lanes, + nine_lender_owned_lanes: nine_lender_trace.owned_lanes, + nine_lender_borrowed_lanes: nine_lender_trace.borrowed_lanes, + baseline_local_trace, + candidate_local_trace, + baseline_local, + candidate_local, + local_qubit_delta: candidate_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_ops_delta: candidate_local.emitted_ops as i64 - baseline_local.emitted_ops as i64, + local_toffoli_delta: candidate_local.emitted_toffoli as i64 + - baseline_local.emitted_toffoli as i64, + } +} + +#[derive(Clone, Copy)] +enum CoefficientKernel { + Add, + AddInverse, + Sub, + SubInverse, +} + +fn build_coefficient_kernel( + work_width: usize, + length_width: usize, + kernel: CoefficientKernel, +) -> B { + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.coeff.phase1"); + let phase2 = circ.alloc_qreg("rs.coeff.phase2"); + let sign = circ.alloc_qreg("rs.coeff.sign"); + let work1 = circ.alloc_qreg_bits("rs.coeff.work1", work_width); + let work2 = circ.alloc_qreg_bits("rs.coeff.work2", work_width); + let l_t = circ.alloc_qreg_bits("rs.coeff.l-t", length_width); + let scratch_width = match kernel { + CoefficientKernel::Add | CoefficientKernel::AddInverse => length_width + 2, + CoefficientKernel::Sub | CoefficientKernel::SubInverse => length_width + 4, + }; + let scratch = circ.alloc_qreg_bits("rs.coeff.scratch", scratch_width); + match kernel { + CoefficientKernel::Add => { + coefficient_add_single(&mut circ, &phase1, &sign, &work1, &work2, &l_t, &scratch) + } + CoefficientKernel::AddInverse => coefficient_add_single_inverse( + &mut circ, &phase1, &sign, &work1, &work2, &l_t, &scratch, + ), + CoefficientKernel::Sub => coefficient_sub_single( + &mut circ, &phase1, &phase2, &sign, &work1, &work2, &l_t, &scratch, + ), + CoefficientKernel::SubInverse => coefficient_sub_single_inverse( + &mut circ, &phase1, &phase2, &sign, &work1, &work2, &l_t, &scratch, + ), + } + circ.into_builder() +} + +#[must_use] +pub fn exhaustive_reference_coefficient_arithmetic_check( +) -> ReferenceCoefficientArithmeticProofReport { + const TEST_LENGTH_WIDTH: usize = 3; + let mut basis_states_checked = 0usize; + let mut inverse_pair_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut control_off_identity_checks = 0usize; + let mut length_restore_checks = 0usize; + + for work_width in 1..=4 { + let add = build_coefficient_kernel(work_width, TEST_LENGTH_WIDTH, CoefficientKernel::Add); + let add_inverse = + build_coefficient_kernel(work_width, TEST_LENGTH_WIDTH, CoefficientKernel::AddInverse); + let sub = build_coefficient_kernel(work_width, TEST_LENGTH_WIDTH, CoefficientKernel::Sub); + let sub_inverse = + build_coefficient_kernel(work_width, TEST_LENGTH_WIDTH, CoefficientKernel::SubInverse); + let data_width = 3 + 2 * work_width + TEST_LENGTH_WIDTH; + let length_offset = 3 + 2 * work_width; + let length_mask = (1u64 << TEST_LENGTH_WIDTH) - 1; + for input in 0..(1u64 << data_width) { + for (forward, inverse) in [(&add, &add_inverse), (&sub, &sub_inverse)] { + let output = apply_scalar(&forward.ops, input); + assert_eq!( + output >> data_width, + 0, + "coefficient kernel left scratch dirty" + ); + assert_eq!( + (output >> length_offset) & length_mask, + (input >> length_offset) & length_mask, + "coefficient kernel changed l_t" + ); + if input & 1 == 0 { + assert_eq!(output, input, "phase1=0 must disable coefficient kernel"); + control_off_identity_checks += 1; + } + assert_eq!(apply_scalar(&inverse.ops, output), input); + basis_states_checked += 1; + inverse_pair_checks += 1; + scratch_clean_checks += 1; + length_restore_checks += 1; + } + } + } + + let t_add257 = gate_counts( + &build_coefficient_kernel(257, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Add).ops, + ); + let t_sub257 = gate_counts( + &build_coefficient_kernel(257, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Sub).ops, + ); + let add1 = gate_counts( + &build_coefficient_kernel(1, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Add).ops, + ) + .ccx; + let add2 = gate_counts( + &build_coefficient_kernel(2, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Add).ops, + ) + .ccx; + let sub1 = gate_counts( + &build_coefficient_kernel(1, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Sub).ops, + ) + .ccx; + let sub2 = gate_counts( + &build_coefficient_kernel(2, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Sub).ops, + ) + .ccx; + let add_slope = add2 - add1; + let sub_slope = sub2 - sub1; + for width in 1..=257 { + let observed_add = gate_counts( + &build_coefficient_kernel(width, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Add).ops, + ) + .ccx; + let observed_sub = gate_counts( + &build_coefficient_kernel(width, REFERENCE_LENGTH_WIDTH, CoefficientKernel::Sub).ops, + ) + .ccx; + assert_eq!(observed_add, add1 + (width - 1) * add_slope); + assert_eq!(observed_sub, sub1 + (width - 1) * sub_slope); + } + let schedule = exhaustive_reference_schedule_check(); + let scheduled_add_toffoli = + add_slope * schedule.t_window_sum + (add1 - add_slope) * REFERENCE_STEPS; + let scheduled_sub_toffoli = + sub_slope * schedule.t_window_sum + (sub1 - sub_slope) * REFERENCE_STEPS; + + ReferenceCoefficientArithmeticProofReport { + work_widths_checked: 4, + basis_states_checked, + inverse_pair_checks, + scratch_clean_checks, + control_off_identity_checks, + length_restore_checks, + t_add257, + t_sub257, + reference_steps: REFERENCE_STEPS, + scheduled_window_sum: schedule.t_window_sum, + scheduled_add_toffoli, + scheduled_sub_toffoli, + } +} + +#[derive(Clone, Copy)] +enum RemainderKernel { + Add, + AddInverse, + Sub, + SubInverse, +} + +fn build_remainder_kernel( + work_width: usize, + total_work_width: usize, + window_upper: usize, + length_width: usize, + kernel: RemainderKernel, +) -> B { + assert!(work_width > 0); + assert!(length_width >= 2); + assert!(work_width <= window_upper && window_upper <= total_work_width); + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.remainder.phase1"); + let phase2 = circ.alloc_qreg("rs.remainder.phase2"); + let sign = circ.alloc_qreg("rs.remainder.sign"); + let work1 = circ.alloc_qreg_bits("rs.remainder.work1", work_width); + let work2 = circ.alloc_qreg_bits("rs.remainder.work2", work_width); + let l_t = circ.alloc_qreg_bits("rs.remainder.l-t", length_width); + let l_q = circ.alloc_qreg_bits("rs.remainder.l-q", length_width - 1); + let l_s = circ.alloc_qreg_bits("rs.remainder.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.remainder.l-r-prime", length_width); + let scratch = circ.alloc_qreg_bits( + "rs.remainder.scratch", + remainder_scratch_width(length_width, length_width), + ); + match kernel { + RemainderKernel::Add => remainder_add_window( + &mut circ, + total_work_width, + window_upper, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + &scratch, + ), + RemainderKernel::AddInverse => remainder_add_window_inverse( + &mut circ, + total_work_width, + window_upper, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + &scratch, + ), + RemainderKernel::Sub => remainder_sub_window( + &mut circ, + total_work_width, + window_upper, + &phase1, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + &scratch, + ), + RemainderKernel::SubInverse => remainder_sub_window_inverse( + &mut circ, + total_work_width, + window_upper, + &phase1, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + &scratch, + ), + } + circ.into_builder() +} + +fn build_remainder_kernel_for_layout( + work_width: usize, + total_work_width: usize, + window_upper: usize, + length_width: usize, + kernel: RemainderKernel, + layout: RemainderScratchLayout, +) -> B { + assert!( + std::env::var_os(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG).is_none(), + "remainder layout proof requires the feature flag to be initially absent" + ); + if layout == RemainderScratchLayout::PhaseOverlaid { + std::env::set_var(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG, "1"); + } + let builder = build_remainder_kernel( + work_width, + total_work_width, + window_upper, + length_width, + kernel, + ); + std::env::remove_var(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG); + builder +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct RemainderPhaseLengths { + compute_operation: usize, + toggle_enable: usize, + prepare_range: usize, + unprepare_range: usize, + uncompute_operation: usize, +} + +fn remainder_phase_lengths( + total_work_width: usize, + window_upper: usize, + length_width: usize, + add: bool, +) -> RemainderPhaseLengths { + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.remainder-phase-lengths.phase1"); + let phase2 = circ.alloc_qreg("rs.remainder-phase-lengths.phase2"); + let sign = circ.alloc_qreg("rs.remainder-phase-lengths.sign"); + let l_t = circ.alloc_qreg_bits("rs.remainder-phase-lengths.l-t", length_width); + let l_q = circ.alloc_qreg_bits("rs.remainder-phase-lengths.l-q", length_width - 1); + let l_s = circ.alloc_qreg_bits("rs.remainder-phase-lengths.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.remainder-phase-lengths.l-r-prime", length_width); + let raw_scratch = circ.alloc_qreg_bits( + "rs.remainder-phase-lengths.scratch", + phase_overlaid_remainder_scratch_width(length_width, length_width), + ); + let scratch = split_phase_overlaid_remainder_scratch(&raw_scratch, length_width, length_width); + + let start = circ.total_ops() as usize; + compute_remainder_operation(&mut circ, &phase1, &l_r_prime, &scratch); + let after_compute = circ.total_ops() as usize; + if add { + toggle_remainder_add_enable( + &mut circ, + scratch.operation, + &phase2, + &sign, + scratch.phase_sign, + scratch.enable, + ); + } + let after_enable = circ.total_ops() as usize; + prepare_remainder_range( + &mut circ, + total_work_width, + window_upper, + &l_t, + &l_q, + &l_s, + &scratch, + ); + let after_prepare = circ.total_ops() as usize; + unprepare_remainder_range( + &mut circ, + total_work_width, + window_upper, + &l_t, + &l_q, + &l_s, + &scratch, + ); + let after_unprepare = circ.total_ops() as usize; + if add { + toggle_remainder_add_enable( + &mut circ, + scratch.operation, + &phase2, + &sign, + scratch.phase_sign, + scratch.enable, + ); + } + let after_disable = circ.total_ops() as usize; + uncompute_remainder_operation(&mut circ, &phase1, &l_r_prime, &scratch); + let after_uncompute = circ.total_ops() as usize; + + RemainderPhaseLengths { + compute_operation: after_compute - start, + toggle_enable: after_enable - after_compute, + prepare_range: after_prepare - after_enable, + unprepare_range: after_unprepare - after_prepare, + uncompute_operation: after_uncompute - after_disable, + } +} + +fn remainder_phase_boundaries( + emitted_ops: usize, + total_work_width: usize, + window_upper: usize, + length_width: usize, + kernel: RemainderKernel, +) -> Vec<(usize, u64)> { + let add = matches!(kernel, RemainderKernel::Add | RemainderKernel::AddInverse); + let lengths = remainder_phase_lengths(total_work_width, window_upper, length_width, add); + let predicate_mask = 0b11u64; + let enabled_mask = predicate_mask | (1 << 2); + let prepared_mask = if add { + enabled_mask | (1 << 3) + } else { + predicate_mask | (1 << 3) + }; + let enable_prefix = lengths.compute_operation + lengths.toggle_enable; + let prepare_end = enable_prefix + lengths.prepare_range; + let suffix = lengths.unprepare_range + lengths.toggle_enable + lengths.uncompute_operation; + let window_end = emitted_ops + .checked_sub(suffix) + .expect("remainder suffix exceeds complete kernel"); + assert!(prepare_end <= window_end); + let unprepare_end = window_end + lengths.unprepare_range; + let disable_end = unprepare_end + lengths.toggle_enable; + assert_eq!( + disable_end + lengths.uncompute_operation, + emitted_ops, + "remainder phase accounting must cover the complete kernel" + ); + + if add { + vec![ + (lengths.compute_operation, predicate_mask), + (enable_prefix, enabled_mask), + (prepare_end, prepared_mask), + (window_end, prepared_mask), + (unprepare_end, enabled_mask), + (disable_end, predicate_mask), + (emitted_ops, 0), + ] + } else { + vec![ + (lengths.compute_operation, predicate_mask), + (prepare_end, prepared_mask), + (window_end, prepared_mask), + (unprepare_end, predicate_mask), + (emitted_ops, 0), + ] + } +} + +#[must_use] +pub fn exhaustive_reference_remainder_arithmetic_check() -> ReferenceRemainderArithmeticProofReport +{ + const TEST_LENGTH_WIDTH: usize = 2; + let mut basis_states_checked = 0usize; + let mut inverse_pair_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut control_off_identity_checks = 0usize; + let mut zero_remainder_identity_checks = 0usize; + let mut length_restore_checks = 0usize; + + for work_width in 1..=3 { + let add = build_remainder_kernel( + work_width, + work_width, + work_width, + TEST_LENGTH_WIDTH, + RemainderKernel::Add, + ); + let add_inverse = build_remainder_kernel( + work_width, + work_width, + work_width, + TEST_LENGTH_WIDTH, + RemainderKernel::AddInverse, + ); + let sub = build_remainder_kernel( + work_width, + work_width, + work_width, + TEST_LENGTH_WIDTH, + RemainderKernel::Sub, + ); + let sub_inverse = build_remainder_kernel( + work_width, + work_width, + work_width, + TEST_LENGTH_WIDTH, + RemainderKernel::SubInverse, + ); + let data_width = 3 + 2 * work_width + 4 * TEST_LENGTH_WIDTH - 1; + let lengths_offset = 3 + 2 * work_width; + let l_r_prime_offset = lengths_offset + 3 * TEST_LENGTH_WIDTH - 1; + let lengths_mask = (1u64 << (4 * TEST_LENGTH_WIDTH - 1)) - 1; + let one_length_mask = (1u64 << TEST_LENGTH_WIDTH) - 1; + for input in 0..(1u64 << data_width) { + for (forward, inverse) in [(&add, &add_inverse), (&sub, &sub_inverse)] { + let output = apply_scalar(&forward.ops, input); + assert_eq!( + output >> data_width, + 0, + "remainder kernel left scratch dirty" + ); + assert_eq!( + (output >> lengths_offset) & lengths_mask, + (input >> lengths_offset) & lengths_mask, + "remainder kernel changed a length register" + ); + if input & 1 != 0 { + assert_eq!(output, input, "phase1=1 must disable remainder kernel"); + control_off_identity_checks += 1; + } + if ((input >> l_r_prime_offset) & one_length_mask) == 0 { + assert_eq!(output, input, "l_r_prime=0 must disable remainder kernel"); + zero_remainder_identity_checks += 1; + } + assert_eq!(apply_scalar(&inverse.ops, output), input); + basis_states_checked += 1; + inverse_pair_checks += 1; + scratch_clean_checks += 1; + length_restore_checks += 1; + } + } + } + + let r_add257 = gate_counts( + &build_remainder_kernel(257, 259, 259, REFERENCE_LENGTH_WIDTH, RemainderKernel::Add).ops, + ); + let r_sub257 = gate_counts( + &build_remainder_kernel(257, 259, 259, REFERENCE_LENGTH_WIDTH, RemainderKernel::Sub).ops, + ); + let add1 = gate_counts( + &build_remainder_kernel(1, 259, 259, REFERENCE_LENGTH_WIDTH, RemainderKernel::Add).ops, + ) + .ccx; + let add2 = gate_counts( + &build_remainder_kernel(2, 259, 259, REFERENCE_LENGTH_WIDTH, RemainderKernel::Add).ops, + ) + .ccx; + let sub1 = gate_counts( + &build_remainder_kernel(1, 259, 259, REFERENCE_LENGTH_WIDTH, RemainderKernel::Sub).ops, + ) + .ccx; + let sub2 = gate_counts( + &build_remainder_kernel(2, 259, 259, REFERENCE_LENGTH_WIDTH, RemainderKernel::Sub).ops, + ) + .ccx; + let add_slope = add2 - add1; + let sub_slope = sub2 - sub1; + for width in 1..=257 { + let observed_add = gate_counts( + &build_remainder_kernel( + width, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + RemainderKernel::Add, + ) + .ops, + ) + .ccx; + let observed_sub = gate_counts( + &build_remainder_kernel( + width, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + RemainderKernel::Sub, + ) + .ops, + ) + .ccx; + assert_eq!(observed_add, add1 + (width - 1) * add_slope); + assert_eq!(observed_sub, sub1 + (width - 1) * sub_slope); + } + let schedule = exhaustive_reference_schedule_check(); + let scheduled_add_toffoli = + add_slope * schedule.r_window_sum + (add1 - add_slope) * REFERENCE_STEPS; + let scheduled_sub_toffoli = + sub_slope * schedule.r_window_sum + (sub1 - sub_slope) * REFERENCE_STEPS; + + ReferenceRemainderArithmeticProofReport { + work_widths_checked: 3, + basis_states_checked, + inverse_pair_checks, + scratch_clean_checks, + control_off_identity_checks, + zero_remainder_identity_checks, + length_restore_checks, + r_add257, + r_sub257, + reference_steps: REFERENCE_STEPS, + scheduled_window_sum: schedule.r_window_sum, + scheduled_add_toffoli, + scheduled_sub_toffoli, + } +} + +#[must_use] +pub fn exhaustive_phase_overlaid_remainder_scratch_check( +) -> ReferencePhaseOverlaidRemainderScratchProofReport { + assert!( + std::env::var_os(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG).is_none(), + "phase-overlaid remainder proof must start with the feature flag absent" + ); + assert_eq!( + remainder_scratch_width(REFERENCE_LENGTH_WIDTH, REFERENCE_LENGTH_WIDTH), + baseline_remainder_scratch_width(REFERENCE_LENGTH_WIDTH, REFERENCE_LENGTH_WIDTH), + "the default-off route must retain the baseline scratch layout" + ); + + // Includes the smallest valid one-bit l_q, shifted windows, and both lower + // and upper window boundaries. Every data/control basis state is checked. + let configurations = [ + (2usize, 1usize, 1usize, 1usize), + (2, 1, 2, 1), + (2, 2, 3, 2), + (3, 3, 3, 3), + ]; + let kernels = [ + RemainderKernel::Add, + RemainderKernel::AddInverse, + RemainderKernel::Sub, + RemainderKernel::SubInverse, + ]; + + let mut basis_states_checked = 0usize; + let mut baseline_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_boundary_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut control_combinations_checked = 0usize; + let mut zero_remainder_checks = 0usize; + let mut range_equality_checks = 0usize; + let mut range_boundary_checks = 0usize; + + for &(length_width, work_width, total_work_width, window_upper) in &configurations { + let baseline: Vec = kernels + .iter() + .map(|&kernel| { + build_remainder_kernel_for_layout( + work_width, + total_work_width, + window_upper, + length_width, + kernel, + RemainderScratchLayout::Baseline, + ) + }) + .collect(); + let overlaid: Vec = kernels + .iter() + .map(|&kernel| { + build_remainder_kernel_for_layout( + work_width, + total_work_width, + window_upper, + length_width, + kernel, + RemainderScratchLayout::PhaseOverlaid, + ) + }) + .collect(); + let boundaries: Vec> = kernels + .iter() + .zip(&overlaid) + .map(|(&kernel, builder)| { + remainder_phase_boundaries( + builder.ops.len(), + total_work_width, + window_upper, + length_width, + kernel, + ) + }) + .collect(); + + let data_width = 3 + 2 * work_width + 4 * length_width - 1; + let scratch_width = phase_overlaid_remainder_scratch_width(length_width, length_width); + assert!(data_width + scratch_width < u64::BITS as usize); + let data_mask = (1u64 << data_width) - 1; + let length_mask = (1u64 << length_width) - 1; + let q_length_mask = (1u64 << (length_width - 1)) - 1; + let lengths_offset = 3 + 2 * work_width; + let mut controls_seen = [false; 8]; + + for input in 0..(1u64 << data_width) { + controls_seen[(input & 0b111) as usize] = true; + let l_t = (input >> lengths_offset) & length_mask; + let l_q = (input >> (lengths_offset + length_width)) & q_length_mask; + let l_s = (input >> (lengths_offset + 2 * length_width - 1)) & length_mask; + let l_r_prime = + (input >> (lengths_offset + 3 * length_width - 1)) & length_mask; + let q_boundary = ((window_upper - 1) as u64) & length_mask; + let s_boundary = ((total_work_width - window_upper + 1) as u64) & length_mask; + let q_sum = l_t.wrapping_add(l_q) & length_mask; + + if l_r_prime == 0 { + zero_remainder_checks += 1; + } + if q_sum == q_boundary || l_s == s_boundary { + range_equality_checks += 1; + } + let q_before = q_boundary.wrapping_sub(1) & length_mask; + let q_after = q_boundary.wrapping_add(1) & length_mask; + let s_before = s_boundary.wrapping_sub(1) & length_mask; + let s_after = s_boundary.wrapping_add(1) & length_mask; + if [q_before, q_boundary, q_after].contains(&q_sum) + || [s_before, s_boundary, s_after].contains(&l_s) + { + range_boundary_checks += 1; + } + + let mut overlaid_outputs = [0u64; 4]; + for index in 0..kernels.len() { + let baseline_output = apply_scalar(&baseline[index].ops, input); + assert_eq!( + baseline_output >> data_width, + 0, + "baseline remainder scratch dirty" + ); + ancilla_clean_checks += 1; + + let mut overlaid_output = input; + let mut previous_cut = 0usize; + for &(cut, allowed_dirty) in &boundaries[index] { + assert!(previous_cut <= cut && cut <= overlaid[index].ops.len()); + overlaid_output = + apply_scalar(&overlaid[index].ops[previous_cut..cut], overlaid_output); + let scratch_state = overlaid_output >> data_width; + assert_eq!( + scratch_state & !allowed_dirty, + 0, + "phase boundary exposed a dirty lane outside its live set" + ); + phase_boundary_clean_checks += 1; + previous_cut = cut; + } + assert_eq!(previous_cut, overlaid[index].ops.len()); + assert_eq!( + overlaid_output >> data_width, + 0, + "phase-overlaid remainder scratch dirty" + ); + assert_eq!( + overlaid_output & data_mask, + baseline_output & data_mask, + "phase-overlaid remainder kernel differs from baseline" + ); + ancilla_clean_checks += 1; + baseline_equivalence_checks += 1; + basis_states_checked += 1; + overlaid_outputs[index] = overlaid_output; + } + + for (forward_index, inverse_index) in [(0usize, 1usize), (2, 3)] { + assert_eq!( + apply_scalar( + &overlaid[inverse_index].ops, + overlaid_outputs[forward_index] + ), + input, + "phase-overlaid forward/inverse pair failed" + ); + assert_eq!( + apply_scalar( + &overlaid[forward_index].ops, + overlaid_outputs[inverse_index] + ), + input, + "phase-overlaid inverse/forward pair failed" + ); + inverse_pair_checks += 2; + } + } + + assert!(controls_seen.iter().all(|&seen| seen)); + control_combinations_checked += controls_seen.len(); + } + + assert!(zero_remainder_checks > 0); + assert!(range_equality_checks > 0); + assert!(range_boundary_checks > 0); + + let baseline_add257 = build_remainder_kernel_for_layout( + 257, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + RemainderKernel::Add, + RemainderScratchLayout::Baseline, + ); + let overlaid_add257 = build_remainder_kernel_for_layout( + 257, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + RemainderKernel::Add, + RemainderScratchLayout::PhaseOverlaid, + ); + let baseline_sub257 = build_remainder_kernel_for_layout( + 257, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + RemainderKernel::Sub, + RemainderScratchLayout::Baseline, + ); + let overlaid_sub257 = build_remainder_kernel_for_layout( + 257, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + RemainderKernel::Sub, + RemainderScratchLayout::PhaseOverlaid, + ); + for kernel in [RemainderKernel::AddInverse, RemainderKernel::SubInverse] { + let baseline = build_remainder_kernel_for_layout( + 257, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + kernel, + RemainderScratchLayout::Baseline, + ); + let overlaid = build_remainder_kernel_for_layout( + 257, + 259, + 259, + REFERENCE_LENGTH_WIDTH, + kernel, + RemainderScratchLayout::PhaseOverlaid, + ); + let baseline_counts = gate_counts(&baseline.ops); + let overlaid_counts = gate_counts(&overlaid.ops); + assert_eq!(baseline_counts.x, overlaid_counts.x); + assert_eq!(baseline_counts.ccx, overlaid_counts.ccx); + assert_eq!(baseline_counts.cx, overlaid_counts.cx + 4); + assert_eq!(baseline_counts.total, overlaid_counts.total + 4); + } + + let baseline_add_counts = gate_counts(&baseline_add257.ops); + let overlaid_add_counts = gate_counts(&overlaid_add257.ops); + let baseline_sub_counts = gate_counts(&baseline_sub257.ops); + let overlaid_sub_counts = gate_counts(&overlaid_sub257.ops); + for (baseline, overlaid) in [ + (baseline_add_counts, overlaid_add_counts), + (baseline_sub_counts, overlaid_sub_counts), + ] { + assert_eq!(baseline.x, overlaid.x); + assert_eq!(baseline.ccx, overlaid.ccx); + assert_eq!(baseline.cx, overlaid.cx + 4); + assert_eq!(baseline.total, overlaid.total + 4); + } + + let baseline_reference9_scratch_lanes = + baseline_remainder_scratch_width(REFERENCE_LENGTH_WIDTH, REFERENCE_LENGTH_WIDTH); + let overlaid_reference9_scratch_lanes = + phase_overlaid_remainder_scratch_width(REFERENCE_LENGTH_WIDTH, REFERENCE_LENGTH_WIDTH); + assert_eq!(baseline_reference9_scratch_lanes, 35); + assert_eq!(overlaid_reference9_scratch_lanes, 14); + assert_eq!( + baseline_add257.peak_qubits as usize - overlaid_add257.peak_qubits as usize, + baseline_reference9_scratch_lanes - overlaid_reference9_scratch_lanes + ); + assert!( + std::env::var_os(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG).is_none(), + "phase-overlaid remainder proof must restore the default-off environment" + ); + + ReferencePhaseOverlaidRemainderScratchProofReport { + length_widths_checked: 2, + window_configurations_checked: configurations.len(), + basis_states_checked, + baseline_equivalence_checks, + inverse_pair_checks, + phase_boundary_clean_checks, + ancilla_clean_checks, + control_combinations_checked, + zero_remainder_checks, + range_equality_checks, + range_boundary_checks, + baseline_reference9_scratch_lanes, + overlaid_reference9_scratch_lanes, + scratch_lanes_saved: baseline_reference9_scratch_lanes - overlaid_reference9_scratch_lanes, + baseline_reference9_peak_qubits: baseline_add257.peak_qubits as usize, + overlaid_reference9_peak_qubits: overlaid_add257.peak_qubits as usize, + baseline_add257: baseline_add_counts, + overlaid_add257: overlaid_add_counts, + baseline_sub257: baseline_sub_counts, + overlaid_sub257: overlaid_sub_counts, + } +} + +fn build_normalized_phase_update(length_width: usize, inverse: bool) -> B { + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.normalized-phase.phase1"); + let phase2 = circ.alloc_qreg("rs.normalized-phase.phase2"); + let sign = circ.alloc_qreg("rs.normalized-phase.sign"); + let l_q = circ.alloc_qreg_bits("rs.normalized-phase.l-q", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.normalized-phase.l-r-prime", length_width); + let l_s = circ.alloc_qreg_bits("rs.normalized-phase.l-s", length_width); + let scratch = circ.alloc_qreg_bits( + "rs.normalized-phase.scratch", + normalized_phase_scratch_width(length_width), + ); + if inverse { + normalized_phase_update_inverse( + &mut circ, &phase1, &phase2, &sign, &l_q, &l_r_prime, &l_s, &scratch, + ); + } else { + normalized_phase_update( + &mut circ, &phase1, &phase2, &sign, &l_q, &l_r_prime, &l_s, &scratch, + ); + } + circ.into_builder() +} + +#[derive(Clone, Copy)] +enum Q826RemainderHostProofRoute { + Configured, + Owned, +} + +#[derive(Clone, Copy)] +enum Q826RemainderHostKernel { + Add, + AddInverse, + Sub, + SubInverse, + BlockForward, + BlockInverse, +} + +struct Q826RemainderHostProofHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + lender_id: u32, + owned_scratch_ids: Vec, + logical_scratch_ids: Vec, +} + +fn build_q826_remainder_host_proof_harness( + work_width: usize, + total_work_width: usize, + window_upper: usize, + kernel: Q826RemainderHostKernel, + route: Q826RemainderHostProofRoute, +) -> Q826RemainderHostProofHarness { + assert!(work_width > 0 && work_width <= window_upper); + assert!(window_upper <= total_work_width); + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("q826.remainder.phase1"); + let phase2 = circ.alloc_qreg("q826.remainder.phase2"); + let sign = circ.alloc_qreg("q826.remainder.sign"); + let work1 = circ.alloc_qreg_bits("q826.remainder.work1", work_width); + let work2 = circ.alloc_qreg_bits("q826.remainder.work2", work_width); + let l_t = circ.alloc_qreg_bits("q826.remainder.l-t", REFERENCE_LENGTH_WIDTH); + let l_q = circ.alloc_qreg_bits("q826.remainder.l-q", SUB820_L_Q_WIDTH); + let l_s = circ.alloc_qreg_bits("q826.remainder.l-s", REFERENCE_LENGTH_WIDTH); + let l_r_prime = circ.alloc_qreg_bits("q826.remainder.l-r-prime", REFERENCE_R_LENGTH_WIDTH); + let l_t_prime = circ.alloc_qreg_bits("q826.remainder.l-t-prime", 1); + let data_ids = std::iter::once(&phase1) + .chain(std::iter::once(&phase2)) + .chain(std::iter::once(&sign)) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_q) + .chain(&l_s) + .chain(&l_r_prime) + .map(QReg::id) + .collect::>(); + let external_mask = data_ids.iter().fold(0u64, |mask, &id| mask | (1u64 << id)); + let lender_id = l_t_prime[0].id(); + assert_eq!(external_mask & (1u64 << lender_id), 0); + + let scratch = match route { + Q826RemainderHostProofRoute::Configured => allocate_scheduled_remainder_scratch( + &mut circ, + "q826.remainder.scratch", + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + &l_t_prime, + &l_q, + ), + Q826RemainderHostProofRoute::Owned => allocate_scheduled_remainder_scratch_with_host( + &mut circ, + "q826.remainder.scratch", + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + None, + None, + ), + }; + let owned_scratch_ids = match &scratch { + ScheduledRemainderScratch::Owned(owned) + | ScheduledRemainderScratch::Hosted { owned, .. } + | ScheduledRemainderScratch::HostedPair { owned, .. } => { + owned.iter().map(QReg::id).collect::>() + } + }; + let logical_scratch_ids = scratch.lanes().iter().map(QReg::id).collect::>(); + assert_unique_qreg_ids( + "Q826 remainder proof data and logical scratch", + &std::iter::once(&phase1) + .chain(std::iter::once(&phase2)) + .chain(std::iter::once(&sign)) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_q) + .chain(&l_s) + .chain(&l_r_prime) + .chain(scratch.lanes()) + .collect::>(), + ); + + match kernel { + Q826RemainderHostKernel::Add => remainder_add_window( + &mut circ, + total_work_width, + window_upper, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ), + Q826RemainderHostKernel::AddInverse => remainder_add_window_inverse( + &mut circ, + total_work_width, + window_upper, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ), + Q826RemainderHostKernel::Sub => remainder_sub_window( + &mut circ, + total_work_width, + window_upper, + &phase1, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ), + Q826RemainderHostKernel::SubInverse => remainder_sub_window_inverse( + &mut circ, + total_work_width, + window_upper, + &phase1, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ), + Q826RemainderHostKernel::BlockForward => { + remainder_sub_window( + &mut circ, + total_work_width, + window_upper, + &phase1, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ); + remainder_phase_sign_flip( + &mut circ, + &phase1, + &phase2, + &sign, + &l_r_prime, + scratch.lanes(), + ); + remainder_add_window( + &mut circ, + total_work_width, + window_upper, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ); + } + Q826RemainderHostKernel::BlockInverse => { + remainder_add_window_inverse( + &mut circ, + total_work_width, + window_upper, + &phase1, + &phase2, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ); + remainder_phase_sign_flip( + &mut circ, + &phase1, + &phase2, + &sign, + &l_r_prime, + scratch.lanes(), + ); + remainder_sub_window_inverse( + &mut circ, + total_work_width, + window_upper, + &phase1, + &sign, + &work1, + &work2, + &l_t, + &l_q, + &l_s, + &l_r_prime, + scratch.lanes(), + ); + } + } + let builder = circ.into_builder(); + Q826RemainderHostProofHarness { + builder, + data_ids, + external_mask, + lender_id, + owned_scratch_ids, + logical_scratch_ids, + } +} + +fn q826_remainder_host_selected_inputs( + work_width: usize, + total_work_width: usize, + window_upper: usize, +) -> Vec { + let work_mask = (1usize << work_width) - 1; + let length_mask = (1usize << REFERENCE_LENGTH_WIDTH) - 1; + let q_mask = (1usize << SUB820_L_Q_WIDTH) - 1; + let r_mask = (1usize << REFERENCE_R_LENGTH_WIDTH) - 1; + let q_boundary = (window_upper - 1) & length_mask; + let s_boundary = (total_work_width - window_upper + 1) & length_mask; + let patterns = [ + (0, 0, 0, 0, 0, 0), + (work_mask, 0, q_boundary, 0, s_boundary, 1), + ( + 0, + work_mask, + 0, + q_boundary & q_mask, + s_boundary.wrapping_sub(1) & length_mask, + 2, + ), + ( + work_mask, + work_mask, + length_mask, + q_mask, + length_mask, + r_mask, + ), + (1 & work_mask, work_mask, 1, q_mask, s_boundary, 0x80), + ( + work_mask, + 1 & work_mask, + q_boundary.wrapping_add(1) & length_mask, + 0, + s_boundary.wrapping_add(1) & length_mask, + 0x55, + ), + (0, 1 & work_mask, 0x100, 0x7f, 0x101, 0xaa), + (1 & work_mask, 0, 0x1ff, 1, 1, 0xff), + ]; + let work1_offset = 3usize; + let work2_offset = work1_offset + work_width; + let l_t_offset = work2_offset + work_width; + let l_q_offset = l_t_offset + REFERENCE_LENGTH_WIDTH; + let l_s_offset = l_q_offset + SUB820_L_Q_WIDTH; + let l_r_prime_offset = l_s_offset + REFERENCE_LENGTH_WIDTH; + + let mut inputs = Vec::with_capacity(64); + for controls in 0..8usize { + for &(work1, work2, l_t, l_q, l_s, l_r_prime) in &patterns { + inputs.push( + controls + | ((work1 & work_mask) << work1_offset) + | ((work2 & work_mask) << work2_offset) + | ((l_t & length_mask) << l_t_offset) + | ((l_q & q_mask) << l_q_offset) + | ((l_s & length_mask) << l_s_offset) + | ((l_r_prime & r_mask) << l_r_prime_offset), + ); + } + } + inputs +} + +fn q826_remap_hosted_remainder_op( + mut op: crate::circuit::Op, + hosted_id: u32, + owned_id: u32, +) -> crate::circuit::Op { + for id in [&mut op.q_control2, &mut op.q_control1, &mut op.q_target] { + if id.0 == u64::from(hosted_id) { + id.0 = u64::from(owned_id); + } + } + op +} + +/// Compare the exact production-width phase-overlaid remainder layout with a +/// 13-owned-lane view whose final constant lane is clean `l_t_prime[0]`. +#[doc(hidden)] +#[must_use] +pub fn q826_remainder_t_prime_host_diagnostic() -> Q826RemainderTPrimeHostProofReport { + for flag in [ + PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG, + Q826_REMAINDER_T_PRIME_HOST_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, + ] { + assert!( + std::env::var_os(flag).is_none(), + "Q826 remainder diagnostic requires {flag} to start absent" + ); + } + std::env::set_var(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG, "1"); + + let configurations = [(1usize, 1usize, 1usize), (2, 3, 2)]; + let kernels = [ + Q826RemainderHostKernel::Add, + Q826RemainderHostKernel::AddInverse, + Q826RemainderHostKernel::Sub, + Q826RemainderHostKernel::SubInverse, + Q826RemainderHostKernel::BlockForward, + Q826RemainderHostKernel::BlockInverse, + ]; + let mut selected_inputs_checked = 0usize; + let mut baseline_candidate_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut lender_clean_entry_checks = 0usize; + let mut lender_restoration_checks = 0usize; + let mut disjoint_layout_checks = 0usize; + let mut remapped_stream_identity_checks = 0usize; + let mut default_stream_identity_checks = 0usize; + let mut first_counts = None; + + for &(work_width, total_work_width, window_upper) in &configurations { + let baseline = kernels + .iter() + .map(|&kernel| { + build_q826_remainder_host_proof_harness( + work_width, + total_work_width, + window_upper, + kernel, + Q826RemainderHostProofRoute::Configured, + ) + }) + .collect::>(); + let direct_owned = kernels + .iter() + .map(|&kernel| { + build_q826_remainder_host_proof_harness( + work_width, + total_work_width, + window_upper, + kernel, + Q826RemainderHostProofRoute::Owned, + ) + }) + .collect::>(); + for (configured, direct) in baseline.iter().zip(&direct_owned) { + assert_q847_default_stream_identity(&configured.builder, &direct.builder); + assert_eq!(configured.owned_scratch_ids.len(), 14); + assert_eq!(configured.logical_scratch_ids.len(), 14); + default_stream_identity_checks += 1; + } + + std::env::set_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, "1"); + std::env::set_var(Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, "1"); + std::env::set_var(Q826_REMAINDER_T_PRIME_HOST_FLAG, "1"); + let hosted = kernels + .iter() + .map(|&kernel| { + build_q826_remainder_host_proof_harness( + work_width, + total_work_width, + window_upper, + kernel, + Q826RemainderHostProofRoute::Configured, + ) + }) + .collect::>(); + std::env::remove_var(Q826_REMAINDER_T_PRIME_HOST_FLAG); + std::env::remove_var(Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG); + std::env::remove_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG); + + let inputs = + q826_remainder_host_selected_inputs(work_width, total_work_width, window_upper); + assert_eq!(inputs.len(), 64); + selected_inputs_checked += inputs.len(); + for index in 0..kernels.len() { + let baseline_harness = &baseline[index]; + let hosted_harness = &hosted[index]; + assert_eq!(baseline_harness.data_ids, hosted_harness.data_ids); + assert_eq!(baseline_harness.external_mask, hosted_harness.external_mask); + assert_eq!(baseline_harness.lender_id, hosted_harness.lender_id); + assert_eq!(baseline_harness.owned_scratch_ids.len(), 14); + assert_eq!(hosted_harness.owned_scratch_ids.len(), 13); + assert_eq!(baseline_harness.logical_scratch_ids.len(), 14); + assert_eq!(hosted_harness.logical_scratch_ids.len(), 14); + assert_eq!( + &baseline_harness.logical_scratch_ids[..13], + &hosted_harness.logical_scratch_ids[..13] + ); + assert_eq!( + hosted_harness.logical_scratch_ids[13], + hosted_harness.lender_id + ); + assert!(hosted_harness + .owned_scratch_ids + .iter() + .all(|&id| id != hosted_harness.lender_id)); + disjoint_layout_checks += 1; + + let baseline_constant_id = baseline_harness.logical_scratch_ids[13]; + let remapped_ops = hosted_harness + .builder + .ops + .iter() + .copied() + .map(|op| { + q826_remap_hosted_remainder_op( + op, + hosted_harness.lender_id, + baseline_constant_id, + ) + }) + .collect::>(); + assert_eq!(baseline_harness.builder.ops, remapped_ops); + assert_eq!( + gate_counts(&baseline_harness.builder.ops), + gate_counts(&hosted_harness.builder.ops) + ); + assert_eq!( + baseline_harness.builder.peak_qubits, + hosted_harness.builder.peak_qubits + 1 + ); + remapped_stream_identity_checks += 1; + + let (cases, phases, ancillas) = verify_q847_selected_simulator_equivalence( + b"q826-remainder-t-prime-host", + &baseline_harness.builder, + &hosted_harness.builder, + &baseline_harness.data_ids, + baseline_harness.external_mask, + &inputs, + ); + assert_eq!(cases, inputs.len()); + simulator_equivalence_checks += cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + + let lender_mask = 1u64 << hosted_harness.lender_id; + for &value in &inputs { + let input = q847_basis_input(&baseline_harness.data_ids, value); + assert_eq!(input & lender_mask, 0, "Q826 lender dirty at entry"); + let baseline_output = apply_scalar(&baseline_harness.builder.ops, input); + let hosted_output = apply_scalar(&hosted_harness.builder.ops, input); + assert_eq!(hosted_output, baseline_output); + assert_eq!(hosted_output & !hosted_harness.external_mask, 0); + assert_eq!(hosted_output & lender_mask, 0, "Q826 lender not restored"); + lender_clean_entry_checks += 1; + lender_restoration_checks += 1; + baseline_candidate_equivalence_checks += 1; + } + } + + for &value in &inputs { + let input = q847_basis_input(&baseline[0].data_ids, value); + for (forward_index, inverse_index) in [(0usize, 1usize), (2, 3), (4, 5)] { + let forward_output = apply_scalar(&hosted[forward_index].builder.ops, input); + let inverse_output = apply_scalar(&hosted[inverse_index].builder.ops, input); + assert_eq!( + apply_scalar(&hosted[inverse_index].builder.ops, forward_output), + input + ); + assert_eq!( + apply_scalar(&hosted[forward_index].builder.ops, inverse_output), + input + ); + inverse_pair_checks += 2; + } + } + + first_counts.get_or_insert_with(|| { + ( + gate_counts(&baseline[0].builder.ops), + gate_counts(&hosted[0].builder.ops), + gate_counts(&baseline[2].builder.ops), + gate_counts(&hosted[2].builder.ops), + ) + }); + } + + std::env::remove_var(PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG); + for flag in [ + PHASE_OVERLAID_REMAINDER_SCRATCH_FLAG, + Q826_REMAINDER_T_PRIME_HOST_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, + ] { + assert!( + std::env::var_os(flag).is_none(), + "Q826 remainder diagnostic failed to restore {flag}" + ); + } + let (baseline_add, hosted_add, baseline_sub, hosted_sub) = + first_counts.expect("Q826 remainder configurations"); + Q826RemainderTPrimeHostProofReport { + configurations_checked: configurations.len(), + kernels_checked: configurations.len() * kernels.len(), + selected_inputs_checked, + baseline_candidate_equivalence_checks, + inverse_pair_checks, + simulator_equivalence_checks, + phase_clean_checks, + ancilla_clean_checks, + lender_clean_entry_checks, + lender_restoration_checks, + disjoint_layout_checks, + remapped_stream_identity_checks, + default_stream_identity_checks, + baseline_owned_lanes: 14, + hosted_owned_lanes: 13, + borrowed_lanes: 1, + peak_qubit_reduction: 1, + baseline_add, + hosted_add, + baseline_sub, + hosted_sub, + } +} + +#[derive(Clone, Copy)] +enum Q826RotatedSwapHostProofRoute { + Configured, + Owned, +} + +struct Q826RotatedSwapHostProofHarness { + builder: B, + body_ops_len: usize, + external_ids: Vec, + external_id_set: std::collections::BTreeSet, + iteration_id: u32, + work1_ids: Vec, + work2_ids: Vec, + l_t_ids: Vec, + l_r_prime_ids: Vec, + host_id: u32, + owned_scratch_ids: Vec, + logical_scratch_ids: Vec, +} + +fn build_q826_rotated_swap_host_proof_harness( + inverse: bool, + route: Q826RotatedSwapHostProofRoute, +) -> Q826RotatedSwapHostProofHarness { + let mut circ = q845_fusion_proof_circuit(); + let iteration = circ.alloc_qreg("q826.rotated-swap.iteration"); + let work1 = circ.alloc_qreg_bits("q826.rotated-swap.work1", 259); + let work2 = circ.alloc_qreg_bits("q826.rotated-swap.work2", 259); + let l_t = circ.alloc_qreg_bits("q826.rotated-swap.l-t", REFERENCE_LENGTH_WIDTH); + let l_t_prime = circ.alloc_qreg_bits("q826.rotated-swap.l-t-prime", 1); + let l_q_width = if std::env::var(Q825_SEVEN_BIT_L_Q_FLAG).ok().as_deref() == Some("1") { + Q825_L_Q_WIDTH + } else { + SUB820_L_Q_WIDTH + }; + let l_q = circ.alloc_qreg_bits("q826.rotated-swap.l-q", l_q_width); + let l_s = circ.alloc_qreg_bits("q826.rotated-swap.l-s", REFERENCE_LENGTH_WIDTH); + let l_r_prime = + circ.alloc_qreg_bits("q826.rotated-swap.l-r-prime", REFERENCE_R_LENGTH_WIDTH); + let preserved_dy_top = circ.alloc_qreg("q826.rotated-swap.preserved-dy-top"); + let external_ids = std::iter::once(&iteration) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_q) + .chain(&l_s) + .chain(&l_r_prime) + .map(QReg::id) + .collect::>(); + let external_id_set = external_ids.iter().copied().collect(); + let iteration_id = iteration.id(); + let work1_ids = work1.iter().map(QReg::id).collect(); + let work2_ids = work2.iter().map(QReg::id).collect(); + let l_t_ids = l_t.iter().map(QReg::id).collect(); + let l_r_prime_ids = l_r_prime.iter().map(QReg::id).collect(); + let host_id = l_t_prime[0].id(); + + let condition_scratch = match route { + Q826RotatedSwapHostProofRoute::Configured => { + allocate_scheduled_swap_condition_scratch( + &mut circ, + "q826.rotated-swap.condition", + &l_t_prime, + false, + ) + } + Q826RotatedSwapHostProofRoute::Owned => { + allocate_scheduled_swap_condition_scratch_with_host( + &mut circ, + "q826.rotated-swap.condition", + None, + false, + false, + ) + } + }; + let owned_scratch_ids = match &condition_scratch { + ScheduledSwapConditionScratch::Owned(owned) + | ScheduledSwapConditionScratch::Hosted { owned, .. } + | ScheduledSwapConditionScratch::ShortHosted { owned, .. } => { + owned.iter().map(QReg::id).collect::>() + } + }; + let logical_scratch_ids = condition_scratch + .lanes() + .iter() + .map(QReg::id) + .collect::>(); + assert_unique_qreg_ids( + "Q826 rotated swap proof external and scratch lanes", + &std::iter::once(&iteration) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_q) + .chain(&l_s) + .chain(&l_r_prime) + .chain(condition_scratch.lanes()) + .collect::>(), + ); + let scratch = condition_scratch.lanes(); + let zero_q = &scratch[0]; + let zero_s = &scratch[1]; + let control = &scratch[2]; + let chain = &scratch[3..]; + compute_zero(&mut circ, &l_q, zero_q, chain); + compute_zero(&mut circ, &l_s, zero_s, chain); + conditional_work_and_length_swap_under_zero_predicate( + &mut circ, + zero_q, + zero_s, + control, + &iteration, + &work1, + &work2, + &l_t, + &l_t_prime, + &l_q, + &l_s, + &l_r_prime, + (1, 259), + (1, 259), + chain, + &[&preserved_dy_top], + inverse, + PromisedLqSwapRoute::Configured, + ); + uncompute_zero(&mut circ, &l_s, zero_s, chain); + uncompute_zero(&mut circ, &l_q, zero_q, chain); + let body_ops_len = circ.total_ops() as usize; + condition_scratch.release(&mut circ); + + Q826RotatedSwapHostProofHarness { + builder: circ.into_builder(), + body_ops_len, + external_ids, + external_id_set, + iteration_id, + work1_ids, + work2_ids, + l_t_ids, + l_r_prime_ids, + host_id, + owned_scratch_ids, + logical_scratch_ids, + } +} + +fn q826_assert_rotated_host_zero(mask: u64, stage: &str) { + assert_eq!(mask, 0, "Q826 rotated swap host dirty at {stage}"); +} + +fn q826_rotated_host_simulation( + harness: &Q826RotatedSwapHostProofHarness, + ops: &[crate::circuit::Op], + roundtrip: bool, +) -> (usize, usize, usize, u64) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::digest::{ExtendableOutput, Update}; + + const SHOTS: usize = 8; + let mut seed = sha3::Shake128::default(); + seed.update(b"q826-rotated-swap-host"); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + let patterns = [ + (0u64, 0u64, 0u64, 0u64), + (1, 0, 1, 0), + (3, 1, 5, 1), + (7, 3, 9, 2), + (0x15, 5, 0x2a, 7), + (0x80, 0x11, 0x101, 0x13), + (0x123, 0x55, 0x234, 0xaa), + (0x3ff, 0xff, 0x2d5, 0x7f), + ]; + let mut set_shot = |id: u32, shot: usize| { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + }; + for (shot, &(t, r, t_prime, r_prime)) in patterns.iter().enumerate() { + if shot % 2 != 0 { + set_shot(harness.iteration_id, shot); + } + for bit in 0..64 { + if (t >> bit) & 1 != 0 { + set_shot(harness.work1_ids[bit], shot); + } + if (r >> bit) & 1 != 0 { + set_shot(harness.work1_ids[258 - bit], shot); + } + if (t_prime >> bit) & 1 != 0 { + set_shot(harness.work2_ids[bit], shot); + } + if (r_prime >> bit) & 1 != 0 { + set_shot(harness.work2_ids[258 - bit], shot); + } + } + let l_t = bit_length_usize(t as usize); + let l_r_prime = bit_length_usize(r_prime as usize); + for bit in 0..REFERENCE_LENGTH_WIDTH { + if (l_t >> bit) & 1 != 0 { + set_shot(harness.l_t_ids[bit], shot); + } + } + for bit in 0..REFERENCE_R_LENGTH_WIDTH { + if (l_r_prime >> bit) & 1 != 0 { + set_shot(harness.l_r_prime_ids[bit], shot); + } + } + } + let initial = (0..harness.builder.next_qubit) + .map(|id| simulator.qubit(QubitId(u64::from(id)))) + .collect::>(); + q826_assert_rotated_host_zero(initial[harness.host_id as usize], "entry"); + simulator.apply_iter(ops.iter()); + let host_after = simulator.qubit(QubitId(u64::from(harness.host_id))); + q826_assert_rotated_host_zero(host_after, "restoration"); + for id in 0..harness.builder.next_qubit { + if !harness.external_id_set.contains(&id) { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))), + 0, + "Q826 rotated swap ancilla q{id} not clean" + ); + } + } + if roundtrip { + simulator.apply_iter(ops.iter()); + assert_eq!(simulator.phase, 0, "Q826 rotated swap roundtrip phase"); + for (id, expected) in initial.into_iter().enumerate() { + assert_eq!( + simulator.qubit(QubitId(id as u64)), + expected, + "Q826 rotated swap roundtrip mismatch q{id}" + ); + } + } + (SHOTS, SHOTS, SHOTS, host_after) +} + +fn q826_remap_rotated_host_op( + mut op: crate::circuit::Op, + hosted_id: u32, + owned_id: u32, + last_hosted_owned_id: u32, +) -> crate::circuit::Op { + for id in [&mut op.q_control2, &mut op.q_control1, &mut op.q_target] { + if id.0 == u64::from(hosted_id) { + id.0 = u64::from(owned_id); + } else if id.0 != u64::MAX && id.0 > u64::from(last_hosted_owned_id) { + id.0 += 1; + } + } + op +} + +fn q826_rotated_host_mutants_rejected( + hosted: &Q826RotatedSwapHostProofHarness, +) -> usize { + use std::panic::{catch_unwind, AssertUnwindSafe}; + + let previous_hook = std::panic::take_hook(); + std::panic::set_hook(Box::new(|_| {})); + let mut rejected = 0usize; + + assert!(catch_unwind(|| q826_assert_rotated_host_zero(1, "mutant entry")).is_err()); + rejected += 1; + + let mut omitted_restore = hosted.builder.ops.clone(); + let restore_idx = omitted_restore + .iter() + .rposition(|op| op.q_target.0 == u64::from(hosted.host_id)) + .expect("Q826 rotated host target operation"); + omitted_restore.remove(restore_idx); + assert!(catch_unwind(AssertUnwindSafe(|| { + q826_rotated_host_simulation(hosted, &omitted_restore, false); + })) + .is_err()); + rejected += 1; + + assert!(catch_unwind(AssertUnwindSafe(|| { + let mut circ = Circuit::new(); + let host = circ.alloc_qreg("q826.mutant.alias-host"); + let alias_a = host.borrowed_alias(); + let alias_b = host.borrowed_alias(); + assert_unique_qreg_ids("Q826 mutant alias", &[&alias_a, &alias_b]); + })) + .is_err()); + rejected += 1; + + std::env::remove_var(Q830_DIRECT_SWAP_METADATA_FLAG); + assert!(catch_unwind(q826_rotated_swap_t_prime_host_requested).is_err()); + std::env::set_var(Q830_DIRECT_SWAP_METADATA_FLAG, "1"); + rejected += 1; + + assert!(catch_unwind(AssertUnwindSafe(|| { + let mut circ = Circuit::new(); + let host = circ.alloc_qreg("q826.mutant.live-host"); + let scratch = allocate_scheduled_swap_condition_scratch_with_host( + &mut circ, + "q826.mutant.live-scratch", + Some(&host), + true, + false, + ); + scratch.release(&mut circ); + })) + .is_err()); + rejected += 1; + + std::panic::set_hook(previous_hook); + rejected +} + +/// Prove the production-width direct-metadata swap scratch loan in isolation. +/// This is not a whole-circuit Q826 claim. +#[doc(hidden)] +#[must_use] +pub fn q826_rotated_swap_t_prime_host_diagnostic( +) -> Q826RotatedSwapTPrimeHostProofReport { + assert!( + std::env::var_os(Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG).is_none(), + "Q826 rotated swap host must default off" + ); + let _environment = Q839SevenPlateauProofEnvironment::capture(); + configure_q839_seven_plateau_proof_environment(); + std::env::set_var(Q827_SERIAL_SPLIT_FIVE_FLAG, "1"); + std::env::set_var(Q830_DIRECT_SWAP_METADATA_FLAG, "1"); + std::env::set_var(Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, "1"); + + let mut default_stream_identity_checks = 0usize; + let mut remapped_stream_identity_checks = 0usize; + let mut gate_count_identity_checks = 0usize; + let mut disjoint_layout_checks = 0usize; + let mut simulator_shots_checked = 0usize; + let mut roundtrip_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut lender_clean_entry_checks = 0usize; + let mut lender_restoration_checks = 0usize; + let mut first_counts = None; + + let mut baselines = Vec::new(); + for inverse in [false, true] { + std::env::remove_var(Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG); + let configured = build_q826_rotated_swap_host_proof_harness( + inverse, + Q826RotatedSwapHostProofRoute::Configured, + ); + let owned = build_q826_rotated_swap_host_proof_harness( + inverse, + Q826RotatedSwapHostProofRoute::Owned, + ); + assert_q847_default_stream_identity(&configured.builder, &owned.builder); + assert_eq!(configured.owned_scratch_ids.len(), 10); + assert_eq!(configured.logical_scratch_ids.len(), 10); + default_stream_identity_checks += 1; + baselines.push(configured); + } + + reset_sub800_q839_route_coverage(); + let route_without_host = super::super::q949_route_identity(); + std::env::set_var(Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG, "1"); + let route_with_host = super::super::q949_route_identity(); + assert_ne!(route_without_host, route_with_host); + let hosted = [false, true] + .into_iter() + .map(|inverse| { + build_q826_rotated_swap_host_proof_harness( + inverse, + Q826RotatedSwapHostProofRoute::Configured, + ) + }) + .collect::>(); + let coverage = sub800_q839_route_coverage(); + assert!(coverage.serial_split_five_same_calls > 0); + assert!(coverage.serial_split_five_mixed_calls > 0); + + for (baseline, candidate) in baselines.iter().zip(&hosted) { + assert_eq!(baseline.external_ids, candidate.external_ids); + assert_eq!(baseline.host_id, candidate.host_id); + assert_eq!(baseline.owned_scratch_ids.len(), 10); + assert_eq!(candidate.owned_scratch_ids.len(), 9); + assert_eq!(candidate.logical_scratch_ids.len(), 10); + assert_eq!( + &baseline.logical_scratch_ids[..9], + &candidate.logical_scratch_ids[..9] + ); + assert_eq!(candidate.logical_scratch_ids[9], candidate.host_id); + assert!(candidate + .owned_scratch_ids + .iter() + .all(|&id| id != candidate.host_id)); + disjoint_layout_checks += 1; + + assert_eq!(baseline.body_ops_len, candidate.body_ops_len); + let remapped = candidate + .builder + .ops[..candidate.body_ops_len] + .iter() + .copied() + .map(|op| { + q826_remap_rotated_host_op( + op, + candidate.host_id, + baseline.logical_scratch_ids[9], + *candidate + .owned_scratch_ids + .last() + .expect("Q826 hosted owned scratch"), + ) + }) + .collect::>(); + assert!( + baseline.builder.ops[..baseline.body_ops_len] == remapped, + "Q826 rotated swap stream mismatch after wire-ID remap" + ); + assert_eq!( + measurement_classical_gate_counts(&baseline.builder.ops), + measurement_classical_gate_counts(&candidate.builder.ops) + ); + assert_eq!(baseline.builder.peak_qubits, candidate.builder.peak_qubits + 1); + remapped_stream_identity_checks += 1; + gate_count_identity_checks += 1; + + let (shots, phases, ancillas, _) = + q826_rotated_host_simulation(candidate, &candidate.builder.ops, true); + simulator_shots_checked += shots; + roundtrip_checks += shots; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + lender_clean_entry_checks += shots; + lender_restoration_checks += shots; + first_counts.get_or_insert_with(|| { + ( + measurement_classical_gate_counts(&baseline.builder.ops), + measurement_classical_gate_counts(&candidate.builder.ops), + ) + }); + } + + let mutants_rejected = q826_rotated_host_mutants_rejected(&hosted[0]); + assert_eq!(mutants_rejected, 5); + std::env::remove_var(Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG); + let (baseline_counts, hosted_counts) = first_counts.expect("Q826 rotated swap directions"); + Q826RotatedSwapTPrimeHostProofReport { + directions_checked: 2, + simulator_shots_checked, + remapped_stream_identity_checks, + default_stream_identity_checks, + route_hash_checks: 1, + gate_count_identity_checks, + roundtrip_checks, + phase_clean_checks, + ancilla_clean_checks, + lender_clean_entry_checks, + lender_restoration_checks, + disjoint_layout_checks, + same_shape_calls: coverage.serial_split_five_same_calls, + mixed_shape_calls: coverage.serial_split_five_mixed_calls, + mutants_rejected, + baseline_owned_lanes: 10, + hosted_owned_lanes: 9, + borrowed_lanes: 1, + peak_qubit_reduction: 1, + baseline_counts, + hosted_counts, + } +} + +#[doc(hidden)] +#[must_use] +pub fn q825_lq6_direct_swap_smoke_check() -> (usize, usize, usize) { + let _environment = Q839SevenPlateauProofEnvironment::capture(); + configure_q839_seven_plateau_proof_environment(); + std::env::set_var(Q827_SERIAL_SPLIT_FIVE_FLAG, "1"); + std::env::set_var(Q830_DIRECT_SWAP_METADATA_FLAG, "1"); + std::env::set_var(Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, "1"); + std::env::set_var(Q826_ROTATED_SWAP_T_PRIME_HOST_FLAG, "1"); + std::env::set_var(Q825_SEVEN_BIT_L_Q_FLAG, "1"); + + let forward = + build_q826_rotated_swap_host_proof_harness(false, Q826RotatedSwapHostProofRoute::Configured); + let inverse = + build_q826_rotated_swap_host_proof_harness(true, Q826RotatedSwapHostProofRoute::Configured); + assert_eq!(forward.owned_scratch_ids.len(), 9); + assert_eq!(forward.logical_scratch_ids.len(), 10); + assert_eq!(inverse.owned_scratch_ids.len(), 9); + assert_eq!(inverse.logical_scratch_ids.len(), 10); + + let forward_result = q826_rotated_host_simulation(&forward, &forward.builder.ops, true); + let inverse_result = q826_rotated_host_simulation(&inverse, &inverse.builder.ops, true); + assert_eq!(forward_result.3, 0); + assert_eq!(inverse_result.3, 0); + ( + forward_result.0 + inverse_result.0, + forward_result.1 + inverse_result.1, + forward_result.2 + inverse_result.2, + ) +} + +#[cfg(test)] +mod q826_rotated_swap_t_prime_host_tests { + #[test] + fn production_direct_metadata_host_lane() { + let report = super::q826_rotated_swap_t_prime_host_diagnostic(); + assert_eq!(report.directions_checked, 2); + assert_eq!(report.baseline_owned_lanes, 10); + assert_eq!(report.hosted_owned_lanes, 9); + assert_eq!(report.borrowed_lanes, 1); + assert_eq!(report.peak_qubit_reduction, 1); + assert_eq!(report.route_hash_checks, 1); + assert_eq!(report.baseline_counts, report.hosted_counts); + assert_eq!(report.mutants_rejected, 5); + } +} + +#[cfg(test)] +mod q826_remainder_t_prime_host_tests { + #[test] + fn production_width_hosted_constant_lane() { + let report = super::q826_remainder_t_prime_host_diagnostic(); + assert_eq!(report.configurations_checked, 2); + assert_eq!(report.kernels_checked, 12); + assert_eq!(report.baseline_owned_lanes, 14); + assert_eq!(report.hosted_owned_lanes, 13); + assert_eq!(report.borrowed_lanes, 1); + assert_eq!(report.peak_qubit_reduction, 1); + assert_eq!(report.baseline_add, report.hosted_add); + assert_eq!(report.baseline_sub, report.hosted_sub); + } +} + +struct Q826NestedCounterProofHarness { + builder: B, + control_id: u32, + register_ids: Vec, + dirty_ids: Vec, + carry_a_id: u32, + carry_b_id: u32, +} + +fn build_q826_nested_counter_proof_harness(decrement: bool) -> Q826NestedCounterProofHarness { + let mut circ = Circuit::new(); + let control = circ.alloc_input_qreg_bits("q826.nested-counter.control", 1); + let register = circ.alloc_input_qreg_bits("q826.nested-counter.register", REFERENCE_LENGTH_WIDTH); + let dirty = circ.alloc_input_qreg_bits("q826.nested-counter.dirty", 5); + let carry_a = circ.alloc_qreg("q826.nested-counter.carry-a"); + let carry_b = circ.alloc_qreg("q826.nested-counter.carry-b"); + if decrement { + controlled_decrement_mod_2n_nested_2_3_4( + &mut circ, &control[0], ®ister, &dirty, &carry_a, &carry_b, + ); + } else { + controlled_increment_mod_2n_nested_2_3_4( + &mut circ, &control[0], ®ister, &dirty, &carry_a, &carry_b, + ); + } + Q826NestedCounterProofHarness { + builder: circ.into_builder(), + control_id: control[0].id(), + register_ids: register.iter().map(QReg::id).collect(), + dirty_ids: dirty.iter().map(QReg::id).collect(), + carry_a_id: carry_a.id(), + carry_b_id: carry_b.id(), + } +} + +fn q826_nested_counter_input( + harness: &Q826NestedCounterProofHarness, + control: usize, + counter: usize, + dirty: usize, +) -> u64 { + let mut input = (control as u64) << harness.control_id; + for (bit, &id) in harness.register_ids.iter().enumerate() { + input |= (((counter >> bit) & 1) as u64) << id; + } + for (bit, &id) in harness.dirty_ids.iter().enumerate() { + input |= (((dirty >> bit) & 1) as u64) << id; + } + input +} + +fn q826_nested_counter_expected( + harness: &Q826NestedCounterProofHarness, + input: u64, + control: usize, + counter: usize, + decrement: bool, +) -> u64 { + let mask = (1usize << REFERENCE_LENGTH_WIDTH) - 1; + let updated = if control == 0 { + counter + } else if decrement { + counter.wrapping_sub(1) & mask + } else { + counter.wrapping_add(1) & mask + }; + let register_mask = harness + .register_ids + .iter() + .fold(0u64, |mask, &id| mask | (1u64 << id)); + harness + .register_ids + .iter() + .enumerate() + .fold(input & !register_mask, |state, (bit, &id)| { + state | ((((updated >> bit) & 1) as u64) << id) + }) +} + +/// Exhaust the exact Q830 2+3+4 counter over control, all nine counter bits, +/// and all five restored-dirty lender states. Both carries start and finish +/// clean, decrement is the exact reversed increment stream, and four +/// single-gate deletion mutants are rejected over the same complete domain. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_q826_coefficient_nested_counter_check( +) -> Q826CoefficientNestedCounterProofReport { + let increment = build_q826_nested_counter_proof_harness(false); + let decrement = build_q826_nested_counter_proof_harness(true); + assert_eq!(increment.control_id, decrement.control_id); + assert_eq!(increment.register_ids, decrement.register_ids); + assert_eq!(increment.dirty_ids, decrement.dirty_ids); + assert_eq!(increment.carry_a_id, decrement.carry_a_id); + assert_eq!(increment.carry_b_id, decrement.carry_b_id); + assert_eq!( + decrement.builder.ops, + increment.builder.ops.iter().rev().copied().collect::>() + ); + + let mutant_indexes = [ + 0, + increment.builder.ops.len() / 3, + 2 * increment.builder.ops.len() / 3, + increment.builder.ops.len() - 1, + ]; + let mutants = mutant_indexes.map(|removed| { + let mut ops = increment.builder.ops.clone(); + ops.remove(removed); + ops + }); + let mut mutant_detected = [false; 4]; + let mut basis_states_checked = 0usize; + let mut increment_checks = 0usize; + let mut decrement_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut carry_clean_checks = 0usize; + let mut dirty_lender_restore_checks = 0usize; + let mut mutant_cases_checked = 0usize; + + for control in 0usize..2 { + for counter in 0usize..(1usize << REFERENCE_LENGTH_WIDTH) { + for dirty in 0usize..32 { + let input = q826_nested_counter_input(&increment, control, counter, dirty); + let incremented = apply_scalar(&increment.builder.ops, input); + let decremented = apply_scalar(&decrement.builder.ops, input); + assert_eq!( + incremented, + q826_nested_counter_expected(&increment, input, control, counter, false) + ); + assert_eq!( + decremented, + q826_nested_counter_expected(&decrement, input, control, counter, true) + ); + assert_eq!(apply_scalar(&decrement.builder.ops, incremented), input); + assert_eq!(apply_scalar(&increment.builder.ops, decremented), input); + assert_eq!((incremented >> increment.carry_a_id) & 1, 0); + assert_eq!((incremented >> increment.carry_b_id) & 1, 0); + assert_eq!((decremented >> decrement.carry_a_id) & 1, 0); + assert_eq!((decremented >> decrement.carry_b_id) & 1, 0); + for &id in &increment.dirty_ids { + assert_eq!((incremented >> id) & 1, (input >> id) & 1); + assert_eq!((decremented >> id) & 1, (input >> id) & 1); + } + let expected = q826_nested_counter_expected( + &increment, input, control, counter, false, + ); + for (index, mutant) in mutants.iter().enumerate() { + mutant_detected[index] |= apply_scalar(mutant, input) != expected; + mutant_cases_checked += 1; + } + basis_states_checked += 1; + increment_checks += 1; + decrement_checks += 1; + inverse_pair_checks += 2; + carry_clean_checks += 4; + dirty_lender_restore_checks += 2 * increment.dirty_ids.len(); + } + } + } + assert!(mutant_detected.iter().all(|&detected| detected)); + let increment_counts = gate_counts(&increment.builder.ops); + let decrement_counts = gate_counts(&decrement.builder.ops); + assert_eq!(increment_counts, decrement_counts); + Q826CoefficientNestedCounterProofReport { + basis_states_checked, + increment_checks, + decrement_checks, + inverse_pair_checks, + carry_clean_checks, + dirty_lender_restore_checks, + exact_reverse_stream_checks: 1, + mutant_cases_checked, + mutants_rejected: mutant_detected.iter().filter(|&&detected| detected).count(), + increment: increment_counts, + decrement: decrement_counts, + } +} + +struct Q826CoefficientHostProofHarness { + builder: B, + data_ids: Vec, + external_mask: Option, + host_id: u32, + l_t_prime_id: u32, + trace: Q826CoefficientHostTrace, +} + +fn configure_q826_coefficient_host_proof_environment() { + for flag in [ + COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, + Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, + Q851_FIXED_SIGN_EVENT_FLAG, + Q830_DIRECT_SWAP_METADATA_FLAG, + Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, + Q828_LS_PARITY_FLAG, + SUB800_INPLACE_GUARD_ADDRESS_FLAG, + SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, + SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, + SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, + SUB800_ULS_CLEAN_LENDER_FLAG, + SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, + SUB800_ULS_FUSED_TARGET_FLAG, + SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG, + SUB800_ULS_DIRECT_SELECTOR_FLAG, + SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG, + Q827_SERIAL_SPLIT_FIVE_FLAG, + Q839_SEVEN_PLATEAU_LENDERS_FLAG, + ] { + std::env::set_var(flag, "1"); + } +} + +fn q826_coefficient_host_proof_flags() -> [&'static str; 22] { + [ + COEFFICIENT_NONNEGATIVE_X_CANCEL_FLAG, + Q845_LIFETIME_COEFFICIENT_FUSION_FLAG, + Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG, + Q851_TRUNCATED_SWAP_ONLY_GUARD_FLAG, + Q851_FIXED_SIGN_EVENT_FLAG, + Q830_DIRECT_SWAP_METADATA_FLAG, + Q830_COEFFICIENT_COUNTER_RELOCATION_FLAG, + Q828_LS_PARITY_FLAG, + SUB800_INPLACE_GUARD_ADDRESS_FLAG, + SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION_FLAG, + SUB800_BORROWED_ROTATED_UNDERFLOW_FLAG, + SUB800_SPLIT_MIXED_ROTATED_LENGTH_FLAG, + SUB800_SPLIT_SAME_ROTATED_LENGTH_FLAG, + SUB800_ULS_CLEAN_LENDER_FLAG, + SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH_FLAG, + SUB800_ULS_FUSED_TARGET_FLAG, + SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH_FLAG, + SUB800_ULS_DIRECT_SELECTOR_FLAG, + SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH_FLAG, + Q827_SERIAL_SPLIT_FIVE_FLAG, + Q839_SEVEN_PLATEAU_LENDERS_FLAG, + Q826_COEFFICIENT_LS_HOST_FLAG, + ] +} + +fn build_q826_coefficient_host_proof_harness( + scan_width: usize, + physical_work_width: usize, + inverse: bool, + entry_parity: bool, +) -> Q826CoefficientHostProofHarness { + assert!(scan_width > 0 && scan_width <= physical_work_width && physical_work_width <= 259); + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("q826.coefficient.phase1"); + let phase2 = circ.alloc_qreg("q826.coefficient.phase2"); + let sign = circ.alloc_qreg("q826.coefficient.sign"); + let work1 = circ.alloc_qreg_bits("q826.coefficient.work1", physical_work_width); + let work2 = circ.alloc_qreg_bits("q826.coefficient.work2", physical_work_width); + let l_t = circ.alloc_qreg_bits("q826.coefficient.l-t", REFERENCE_LENGTH_WIDTH); + let l_t_prime = circ.alloc_qreg_bits("q826.coefficient.l-t-prime", 1); + let l_s_high = circ.alloc_qreg_bits( + "q826.coefficient.l-s-high", + REFERENCE_LENGTH_WIDTH - 1, + ); + let l_r_prime = + circ.alloc_qreg_bits("q826.coefficient.l-r-prime", REFERENCE_R_LENGTH_WIDTH); + let l_q = circ.alloc_qreg_bits("q826.coefficient.l-q", SUB820_L_Q_WIDTH); + let host = circ.alloc_qreg("q826.coefficient.l-s-host"); + let l_s = std::iter::once(host.borrowed_alias()) + .chain(l_s_high.iter().map(QReg::borrowed_alias)) + .collect::>(); + let data_ids = [&phase1, &phase2, &sign] + .into_iter() + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_t_prime) + .chain(&l_s_high) + .chain(&l_r_prime) + .chain(&l_q) + .chain(std::iter::once(&host)) + .map(QReg::id) + .collect::>(); + + begin_q826_coefficient_host_trace(); + coefficient_phase_block_with_uls_clean_lender( + &mut circ, + &phase1, + &phase2, + &sign, + &work1[..scan_width], + &work2[..scan_width], + &work2, + &l_t, + &l_t_prime, + &l_s, + &l_r_prime, + inverse, + Some(&host), + Some(&l_q), + Some(entry_parity), + ); + let trace = finish_q826_coefficient_host_trace(); + let builder = circ.into_builder(); + let external_mask = (builder.next_qubit <= 64).then(|| { + data_ids + .iter() + .fold(0u64, |mask, &id| mask | (1u64 << id)) + }); + Q826CoefficientHostProofHarness { + builder, + data_ids, + external_mask, + host_id: host.id(), + l_t_prime_id: l_t_prime[0].id(), + trace, + } +} + +fn q826_coefficient_host_selected_inputs( + harness: &Q826CoefficientHostProofHarness, + entry_parity: bool, +) -> Vec { + assert!(harness.data_ids.len() < usize::BITS as usize); + let phase1_bit = harness + .data_ids + .iter() + .position(|&id| id == 0) + .expect("phase1 data bit"); + let host_bit = harness + .data_ids + .iter() + .position(|&id| id == harness.host_id) + .expect("host data bit"); + let l_t_prime_bit = harness + .data_ids + .iter() + .position(|&id| id == harness.l_t_prime_id) + .expect("l_t_prime data bit"); + let mask = (1usize << harness.data_ids.len()) - 1; + (0..64usize) + .map(|index| { + let mut value = index + .wrapping_mul(0x9e37_79b9usize) + .rotate_left((index % usize::BITS as usize) as u32) + ^ index.wrapping_mul(0x85eb_ca6busize) + ^ (index << 17) + ^ (index >> 3); + value &= mask; + value &= !(1usize << l_t_prime_bit); + value &= !(1usize << host_bit); + let phase1 = ((value >> phase1_bit) & 1) != 0; + if entry_parity ^ true ^ phase1 { + value |= 1usize << host_bit; + } + value + }) + .collect() +} + +fn verify_q826_coefficient_host_window_clean( + label: &[u8], + harness: &Q826CoefficientHostProofHarness, + values: &[usize], +) -> (usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(harness.builder.next_qubit <= 64); + assert!(harness.trace.restore_ops_idx > harness.trace.entry_ops_idx); + let mut lender_checks = 0usize; + let mut phase_restoration_checks = 0usize; + for (batch_index, batch) in values.chunks(64).enumerate() { + let live = if batch.len() == 64 { + u64::MAX + } else { + (1u64 << batch.len()) - 1 + }; + let mut seed = Shake128::default(); + seed.update(label); + seed.update(&(batch_index as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for (shot, &value) in batch.iter().enumerate() { + for (bit, &id) in harness.data_ids.iter().enumerate() { + if ((value >> bit) & 1) != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(harness.builder.ops[..harness.trace.entry_ops_idx].iter()); + assert_eq!( + simulator.qubit(QubitId(u64::from(harness.host_id))) & live, + 0, + "{label:?} host dirty at coefficient borrow entry" + ); + simulator.apply_iter( + harness.builder.ops + [harness.trace.entry_ops_idx..harness.trace.restore_ops_idx] + .iter(), + ); + assert_eq!( + simulator.qubit(QubitId(u64::from(harness.host_id))) & live, + 0, + "{label:?} host not restored after coefficient borrow" + ); + lender_checks += 2 * batch.len(); + // The caller has already established exact owned/hosted stream + // identity modulo the live carry ID for this complete window. + phase_restoration_checks += 2 * batch.len(); + } + (lender_checks, phase_restoration_checks) +} + +fn assert_q826_coefficient_host_window_identity( + baseline: &Q826CoefficientHostProofHarness, + hosted: &Q826CoefficientHostProofHarness, +) { + assert_eq!(baseline.data_ids, hosted.data_ids); + assert_eq!(baseline.host_id, hosted.host_id); + assert_eq!(baseline.trace.calls, 1); + assert_eq!(hosted.trace.calls, 1); + assert!(!baseline.trace.borrowed); + assert!(hosted.trace.borrowed); + assert_eq!(hosted.trace.lane_id, hosted.host_id); + assert_ne!(baseline.trace.lane_id, baseline.host_id); + assert_eq!(baseline.trace.entry_ops_idx, hosted.trace.entry_ops_idx); + assert_eq!(baseline.trace.restore_ops_idx, hosted.trace.restore_ops_idx); + assert_eq!( + baseline.builder.ops[..baseline.trace.entry_ops_idx], + hosted.builder.ops[..hosted.trace.entry_ops_idx] + ); + let remapped = hosted.builder.ops + [hosted.trace.entry_ops_idx..hosted.trace.restore_ops_idx] + .iter() + .copied() + .map(|mut op| { + for id in [&mut op.q_control2, &mut op.q_control1, &mut op.q_target] { + if id.0 == u64::from(hosted.host_id) { + id.0 = u64::from(baseline.trace.lane_id); + } else if id.0 != u64::MAX && id.0 >= u64::from(baseline.trace.lane_id) { + id.0 += 1; + } + } + op + }) + .collect::>(); + let baseline_window = + &baseline.builder.ops[baseline.trace.entry_ops_idx..baseline.trace.restore_ops_idx]; + assert_eq!(baseline_window.len(), remapped.len()); + if let Some((index, (expected, actual))) = baseline_window + .iter() + .zip(&remapped) + .enumerate() + .find(|(_, (expected, actual))| expected != actual) + { + panic!( + "Q826 coefficient host rejected at stream {index}: the Q828 host overlaps the Q827 \ + ULS counter scratch while the coefficient carry is live; expected {expected:?}, \ + got {actual:?}" + ); + } +} + +/// Prove the default-off coefficient carry loan from the Q828 parity host. +/// The production-width miter is exact modulo the fresh carry ID; selected +/// reduced-width states additionally check the Q828 host invariant, phase, +/// ancilla cleanup, and forward/inverse composition. +#[doc(hidden)] +#[must_use] +pub fn q826_coefficient_l_s_host_diagnostic() -> Q826CoefficientLsHostProofReport { + for flag in q826_coefficient_host_proof_flags() { + assert!( + std::env::var_os(flag).is_none(), + "Q826 coefficient diagnostic requires {flag} to start absent" + ); + } + configure_q826_coefficient_host_proof_environment(); + + let mut selected_inputs_checked = 0usize; + let mut baseline_candidate_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut lender_clean_entry_checks = 0usize; + let mut lender_restoration_checks = 0usize; + let mut disjoint_layout_checks = 0usize; + let mut remapped_stream_identity_checks = 0usize; + let mut default_stream_identity_checks = 0usize; + let mut production_resources = None; + + for entry_parity in [false, true] { + std::env::remove_var(Q826_COEFFICIENT_LS_HOST_FLAG); + let baseline_forward = + build_q826_coefficient_host_proof_harness(2, 2, false, entry_parity); + let baseline_inverse = + build_q826_coefficient_host_proof_harness(2, 2, true, entry_parity); + std::env::set_var(Q826_COEFFICIENT_LS_HOST_FLAG, "0"); + let explicit_off_forward = + build_q826_coefficient_host_proof_harness(2, 2, false, entry_parity); + let explicit_off_inverse = + build_q826_coefficient_host_proof_harness(2, 2, true, entry_parity); + assert_q847_default_stream_identity( + &baseline_forward.builder, + &explicit_off_forward.builder, + ); + assert_q847_default_stream_identity( + &baseline_inverse.builder, + &explicit_off_inverse.builder, + ); + default_stream_identity_checks += 2; + + std::env::set_var(Q826_COEFFICIENT_LS_HOST_FLAG, "1"); + let hosted_forward = + build_q826_coefficient_host_proof_harness(2, 2, false, entry_parity); + let hosted_inverse = + build_q826_coefficient_host_proof_harness(2, 2, true, entry_parity); + let inputs = q826_coefficient_host_selected_inputs(&hosted_forward, entry_parity); + + for (inverse, baseline, hosted) in [ + (false, &baseline_forward, &hosted_forward), + (true, &baseline_inverse, &hosted_inverse), + ] { + assert_q826_coefficient_host_window_identity(baseline, hosted); + assert_eq!(baseline.builder.peak_qubits, hosted.builder.peak_qubits + 1); + assert_eq!( + measurement_classical_gate_counts(&baseline.builder.ops).ccx, + measurement_classical_gate_counts(&hosted.builder.ops).ccx + ); + disjoint_layout_checks += 1; + remapped_stream_identity_checks += 1; + let label: &[u8] = if inverse { + b"q826-coefficient-ls-host-inverse" + } else { + b"q826-coefficient-ls-host-forward" + }; + let external_mask = hosted.external_mask.expect("reduced external mask"); + let (cases, phases, ancillas) = + verify_q847_selected_simulator_equivalence_with_phase_mode( + label, + &baseline.builder, + &hosted.builder, + &baseline.data_ids, + external_mask, + &inputs, + false, + ); + let (lender_checks, window_phases) = + verify_q826_coefficient_host_window_clean(label, hosted, &inputs); + selected_inputs_checked += inputs.len(); + simulator_equivalence_checks += cases; + phase_clean_checks += phases + window_phases; + ancilla_clean_checks += ancillas; + lender_clean_entry_checks += lender_checks / 2; + lender_restoration_checks += lender_checks / 2; + + for &value in &inputs { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let hosted_output = apply_scalar(&hosted.builder.ops, input); + assert_eq!(hosted_output, baseline_output); + assert_eq!(hosted_output & !external_mask, 0); + baseline_candidate_equivalence_checks += 1; + } + } + + for &value in &inputs { + let input = q847_basis_input(&hosted_forward.data_ids, value); + let forward_output = apply_scalar(&hosted_forward.builder.ops, input); + assert_eq!( + apply_scalar(&hosted_inverse.builder.ops, forward_output), + input + ); + let inverse_output = apply_scalar(&hosted_inverse.builder.ops, input); + assert_eq!( + apply_scalar(&hosted_forward.builder.ops, inverse_output), + input + ); + inverse_pair_checks += 2; + } + + std::env::remove_var(Q826_COEFFICIENT_LS_HOST_FLAG); + for inverse in [false, true] { + let production_baseline = + build_q826_coefficient_host_proof_harness(257, 259, inverse, entry_parity); + std::env::set_var(Q826_COEFFICIENT_LS_HOST_FLAG, "1"); + let production_hosted = + build_q826_coefficient_host_proof_harness(257, 259, inverse, entry_parity); + std::env::remove_var(Q826_COEFFICIENT_LS_HOST_FLAG); + assert_q826_coefficient_host_window_identity( + &production_baseline, + &production_hosted, + ); + assert_eq!( + production_baseline.builder.peak_qubits, + production_hosted.builder.peak_qubits + 1 + ); + assert_eq!( + measurement_classical_gate_counts(&production_baseline.builder.ops).ccx, + measurement_classical_gate_counts(&production_hosted.builder.ops).ccx + ); + disjoint_layout_checks += 1; + remapped_stream_identity_checks += 1; + production_resources.get_or_insert_with(|| { + ( + q847_lifetime_local_resources(&production_baseline.builder), + q847_lifetime_local_resources(&production_hosted.builder), + ) + }); + } + } + + for flag in q826_coefficient_host_proof_flags() { + std::env::remove_var(flag); + } + let (baseline_local, hosted_local) = production_resources.expect("production resources"); + assert_eq!(baseline_local.peak_qubits, hosted_local.peak_qubits + 1); + assert_eq!(baseline_local.emitted_toffoli, hosted_local.emitted_toffoli); + Q826CoefficientLsHostProofReport { + configurations_checked: 4, + directions_checked: 2, + entry_parities_checked: 2, + selected_inputs_checked, + baseline_candidate_equivalence_checks, + inverse_pair_checks, + simulator_equivalence_checks, + phase_clean_checks, + ancilla_clean_checks, + lender_clean_entry_checks, + lender_restoration_checks, + disjoint_layout_checks, + remapped_stream_identity_checks, + default_stream_identity_checks, + baseline_local, + hosted_local, + local_qubit_delta: hosted_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_ops_delta: hosted_local.emitted_ops as i64 - baseline_local.emitted_ops as i64, + local_toffoli_delta: hosted_local.emitted_toffoli as i64 + - baseline_local.emitted_toffoli as i64, + } +} + +#[cfg(test)] +mod q826_coefficient_l_s_host_tests { + #[test] + fn production_width_hosted_coefficient_carry() { + let report = super::q826_coefficient_l_s_host_diagnostic(); + assert_eq!(report.directions_checked, 2); + assert_eq!(report.entry_parities_checked, 2); + assert_eq!(report.local_qubit_delta, -1); + assert_eq!(report.local_toffoli_delta, 0); + } +} + +#[must_use] +pub fn exhaustive_normalized_phase_update_check() -> ReferenceNormalizedControlProofReport { + let mut basis_states_checked = 0usize; + let mut inverse_pair_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut oracle_transition_checks = 0usize; + for length_width in 1..=3 { + let forward = build_normalized_phase_update(length_width, false); + let inverse = build_normalized_phase_update(length_width, true); + let mask = (1u64 << length_width) - 1; + let data_width = 3 + 3 * length_width; + for input in 0..(1u64 << data_width) { + let mut phase1 = input & 1 != 0; + let mut phase2 = (input >> 1) & 1 != 0; + let mut sign = (input >> 2) & 1 != 0; + let l_q = (input >> 3) & mask; + let l_r_prime = (input >> (3 + length_width)) & mask; + let l_s = (input >> (3 + 2 * length_width)) & mask; + if l_q == 0 && l_r_prime != 0 { + phase2 ^= sign ^ phase1; + sign ^= phase2; + } + if l_s == 0 { + phase1 ^= true; + phase2 ^= true; + } + let expected = u64::from(phase1) + | (u64::from(phase2) << 1) + | (u64::from(sign) << 2) + | (l_q << 3) + | (l_r_prime << (3 + length_width)) + | (l_s << (3 + 2 * length_width)); + let output = apply_scalar(&forward.ops, input); + assert_eq!(output, expected); + assert_eq!(output >> data_width, 0); + assert_eq!(apply_scalar(&inverse.ops, output), input); + basis_states_checked += 1; + inverse_pair_checks += 1; + scratch_clean_checks += 1; + oracle_transition_checks += 1; + } + } + ReferenceNormalizedControlProofReport { + length_widths_checked: 3, + basis_states_checked, + inverse_pair_checks, + scratch_clean_checks, + oracle_transition_checks, + phase_update9: gate_counts(&build_normalized_phase_update(9, false).ops), + } +} + +fn build_conditional_length_update( + work_width: usize, + length_width: usize, + window: (usize, usize), + target_r_prime: bool, + inverse: bool, +) -> B { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.length-update.control"); + let work1 = circ.alloc_qreg_bits("rs.length-update.work1", work_width); + let work2 = circ.alloc_qreg_bits("rs.length-update.work2", work_width); + let l_t = circ.alloc_qreg_bits("rs.length-update.l-t", length_width); + let l_q = circ.alloc_qreg_bits("rs.length-update.l-q", length_width); + let l_s = circ.alloc_qreg_bits("rs.length-update.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.length-update.l-r-prime", length_width); + let scratch = circ.alloc_qreg_bits( + "rs.length-update.scratch", + length_update_scratch_width(length_width), + ); + let target = if target_r_prime { &l_r_prime } else { &l_t }; + if inverse { + conditional_length_update_inverse( + &mut circ, work_width, window.0, window.1, &control, &work1, &work2, &l_s, &l_q, + &l_r_prime, target, &scratch, + ); + } else { + conditional_length_update( + &mut circ, work_width, window.0, window.1, &control, &work1, &work2, &l_s, &l_q, + &l_r_prime, target, &scratch, + ); + } + circ.into_builder() +} + +fn build_work_and_length_swap(work_width: usize, length_width: usize, inverse: bool) -> B { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.swap-length.control"); + let iteration = circ.alloc_qreg("rs.swap-length.iteration"); + let work1 = circ.alloc_qreg_bits("rs.swap-length.work1", work_width); + let work2 = circ.alloc_qreg_bits("rs.swap-length.work2", work_width); + let l_t = circ.alloc_qreg_bits("rs.swap-length.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("rs.swap-length.l-t-prime", length_width); + let l_q = circ.alloc_qreg_bits("rs.swap-length.l-q", length_width); + let l_s = circ.alloc_qreg_bits("rs.swap-length.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.swap-length.l-r-prime", length_width); + let scratch = if rotated_bitlen_scratch_reuse_requested() { + circ.alloc_qreg_bits("rs.swap-length.borrowed-rotated-bitlen", 3) + } else { + Vec::new() + }; + let window = (1, work_width); + if inverse { + conditional_work_and_length_swap_inverse( + &mut circ, &control, &iteration, &work1, &work2, &l_t, &l_t_prime, &l_q, &l_s, + &l_r_prime, window, window, &scratch, + ); + } else { + conditional_work_and_length_swap( + &mut circ, &control, &iteration, &work1, &work2, &l_t, &l_t_prime, &l_q, &l_s, + &l_r_prime, window, window, &scratch, + ); + } + circ.into_builder() +} + +fn build_work_and_length_swap_quadratic_oracle(work_width: usize, length_width: usize) -> B { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.swap-length.control"); + let iteration = circ.alloc_qreg("rs.swap-length.iteration"); + let work1 = circ.alloc_qreg_bits("rs.swap-length.work1", work_width); + let work2 = circ.alloc_qreg_bits("rs.swap-length.work2", work_width); + let l_t = circ.alloc_qreg_bits("rs.swap-length.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("rs.swap-length.l-t-prime", length_width); + let l_q = circ.alloc_qreg_bits("rs.swap-length.l-q", length_width); + let l_s = circ.alloc_qreg_bits("rs.swap-length.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.swap-length.l-r-prime", length_width); + conditional_work_and_length_swap_quadratic_oracle( + &mut circ, &control, &iteration, &work1, &work2, &l_t, &l_t_prime, &l_q, &l_s, &l_r_prime, + ); + circ.into_builder() +} + +fn build_conditional_work_swap(work_width: usize) -> B { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("rs.work-swap.control"); + let work1 = circ.alloc_qreg_bits("rs.work-swap.work1", work_width); + let work2 = circ.alloc_qreg_bits("rs.work-swap.work2", work_width); + controlled_swap_registers(&mut circ, &control, &work1, &work2); + circ.into_builder() +} + +#[must_use] +pub fn exhaustive_reference_length_swap_check() -> ReferenceLengthSwapProofReport { + const TEST_LENGTH_WIDTH: usize = 2; + + fn bit_length(value: u64) -> usize { + if value == 0 { + 0 + } else { + 64 - value.leading_zeros() as usize + } + } + + fn pack_work1(width: usize, t: u64, r: u64) -> u64 { + let l_t = bit_length(t); + assert!(l_t + 1 + bit_length(r) <= width); + let mut packed = t; + for bit in 0..bit_length(r) { + if (r >> bit) & 1 != 0 { + packed |= 1u64 << (width - 1 - bit); + } + } + packed + } + + fn pack_work2(width: usize, t_prime: u64, r_prime: u64) -> u64 { + let l_r_prime = bit_length(r_prime); + assert!(bit_length(t_prime) + l_r_prime <= width); + let mut packed = t_prime; + for bit in 0..l_r_prime { + if (r_prime >> bit) & 1 != 0 { + packed |= 1u64 << (width - 1 - bit); + } + } + packed + } + + let mut basis_states_checked = 0usize; + let mut quadratic_oracle_equivalence_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut scratch_clean_checks = 0usize; + let mut control_off_identity_checks = 0usize; + for work_width in 1..=3 { + let forward = build_work_and_length_swap(work_width, TEST_LENGTH_WIDTH, false); + let inverse = build_work_and_length_swap(work_width, TEST_LENGTH_WIDTH, true); + let quadratic_oracle = + build_work_and_length_swap_quadratic_oracle(work_width, TEST_LENGTH_WIDTH); + let data_width = 2 + 2 * work_width + 5 * TEST_LENGTH_WIDTH; + let lengths_offset = 2 + 2 * work_width; + for input in 0..(1u64 << data_width) { + if input & 1 != 0 { + continue; + } + let output = apply_scalar(&forward.ops, input); + assert_eq!( + output, + apply_scalar(&quadratic_oracle.ops, input), + "rotated length swap disagrees with the quadratic oracle" + ); + quadratic_oracle_equivalence_checks += 1; + assert_eq!( + output >> data_width, + 0, + "length swap left scratch dirty: work_width={work_width} input={input:#x} output={output:#x}" + ); + assert_eq!(output, input, "control=0 must disable work/length swap"); + control_off_identity_checks += 1; + assert_eq!(apply_scalar(&inverse.ops, output), input); + basis_states_checked += 1; + inverse_pair_checks += 1; + scratch_clean_checks += 1; + } + + let limit = 1u64 << work_width; + for t in 0..limit { + for t_prime in 0..limit { + for r in 1..limit { + for r_prime in 1..limit { + let l_t = bit_length(t); + let l_r_prime = bit_length(r_prime); + if l_t + 1 + bit_length(r) > work_width + || bit_length(t_prime) + 1 + l_r_prime > work_width + { + continue; + } + let work1 = pack_work1(work_width, t, r); + let work2 = pack_work2(work_width, t_prime, r_prime); + for iteration in 0..=1u64 { + let input = 1 + | (iteration << 1) + | (work1 << 2) + | (work2 << (2 + work_width)) + | ((l_t as u64) << lengths_offset) + | ((bit_length(t_prime) as u64) + << (lengths_offset + TEST_LENGTH_WIDTH)) + | ((l_r_prime as u64) << (lengths_offset + 4 * TEST_LENGTH_WIDTH)); + let expected = 1 + | ((iteration ^ 1) << 1) + | (work2 << 2) + | (work1 << (2 + work_width)) + | ((bit_length(t_prime) as u64) << lengths_offset) + | ((l_t as u64) << (lengths_offset + TEST_LENGTH_WIDTH)) + | ((bit_length(r) as u64) + << (lengths_offset + 4 * TEST_LENGTH_WIDTH)); + let output = apply_scalar(&forward.ops, input); + assert_eq!( + output, + apply_scalar(&quadratic_oracle.ops, input), + "rotated length swap disagrees with the quadratic oracle on packed support" + ); + quadratic_oracle_equivalence_checks += 1; + assert_eq!( + output, + expected, + "valid packed length swap mismatch: work_width={work_width} t={t} t_prime={t_prime} r={r} r_prime={r_prime}" + ); + assert_eq!( + apply_scalar(&inverse.ops, output), + input, + "valid packed inverse mismatch: work_width={work_width} t={t} t_prime={t_prime} r={r} r_prime={r_prime} iteration={iteration}" + ); + basis_states_checked += 1; + inverse_pair_checks += 1; + scratch_clean_checks += 1; + } + } + } + } + } + } + + let full = build_work_and_length_swap(259, 9, false); + let standalone_active_qubits = full.active_qubits as usize; + let standalone_peak_qubits = full.peak_qubits as usize; + let temporary_peak_qubits = standalone_peak_qubits - standalone_active_qubits; + let projected_reference_peak_qubits = 815 + temporary_peak_qubits; + let conditional_work_length_swap259 = measurement_classical_gate_counts(&full.ops); + let conditional_steps = REFERENCE_STEPS / 4; + ReferenceLengthSwapProofReport { + work_widths_checked: 3, + basis_states_checked, + quadratic_oracle_equivalence_checks, + inverse_pair_checks, + scratch_clean_checks, + control_off_identity_checks, + conditional_work_length_swap259, + conditional_steps, + standalone_active_qubits, + standalone_peak_qubits, + temporary_peak_qubits, + projected_reference_peak_qubits, + scheduled_toffoli: conditional_steps * conditional_work_length_swap259.ccx, + } +} + +fn build_full_window_step(n: usize, length_width: usize, inverse: bool) -> B { + let work_width = n + 3; + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.whole-step.phase1"); + let phase2 = circ.alloc_qreg("rs.whole-step.phase2"); + let iteration_parity = circ.alloc_qreg("rs.whole-step.iteration"); + let sign = circ.alloc_qreg("rs.whole-step.sign"); + let work1 = circ.alloc_qreg_bits("rs.whole-step.work1", work_width); + let work2 = circ.alloc_qreg_bits("rs.whole-step.work2", work_width); + let l_t = circ.alloc_qreg_bits("rs.whole-step.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("rs.whole-step.l-t-prime", length_width); + let l_q = circ.alloc_qreg_bits("rs.whole-step.l-q", length_width); + let l_s = circ.alloc_qreg_bits("rs.whole-step.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("rs.whole-step.l-r-prime", length_width); + if inverse { + register_shared_full_window_step_inverse( + &mut circ, + &phase1, + &phase2, + &iteration_parity, + &sign, + &work1, + &work2, + &l_t, + &l_t_prime, + &l_q, + &l_s, + &l_r_prime, + true, + ); + } else { + register_shared_full_window_step( + &mut circ, + &phase1, + &phase2, + &iteration_parity, + &sign, + &work1, + &work2, + &l_t, + &l_t_prime, + &l_q, + &l_s, + &l_r_prime, + true, + ); + } + circ.into_builder() +} + +fn apply_basis_vector(ops: &[crate::circuit::Op], mut state: Vec) -> Vec { + use crate::circuit::OperationType; + + let index = |id: crate::circuit::QubitId| id.0 as usize; + for operation in ops { + match operation.kind { + OperationType::X => state[index(operation.q_target)] ^= true, + OperationType::CX => { + if state[index(operation.q_control1)] { + state[index(operation.q_target)] ^= true; + } + } + OperationType::CCX => { + if state[index(operation.q_control1)] && state[index(operation.q_control2)] { + state[index(operation.q_target)] ^= true; + } + } + OperationType::Swap => { + state.swap(index(operation.q_control1), index(operation.q_target)); + } + OperationType::R | OperationType::Hmr => { + state[index(operation.q_target)] = false; + } + OperationType::Neg + | OperationType::Z + | OperationType::CZ + | OperationType::CCZ + | OperationType::PushCondition + | OperationType::PopCondition + | OperationType::DebugPrint => {} + other => panic!("whole-step basis replay saw unsupported operation {other:?}"), + } + } + state +} + +fn packed_snapshot_bits( + snapshot: super::register_shared_eea::RegisterSharedPackedSnapshot, + length_width: usize, + total_qubits: usize, +) -> Vec { + let work_width = snapshot.n + 3; + let mut state = vec![false; total_qubits]; + state[0] = snapshot.phase1; + state[1] = snapshot.phase2; + state[2] = snapshot.iteration_parity; + state[3] = snapshot.sign; + let mut offset = 4usize; + for bit in 0..work_width { + state[offset + bit] = ((snapshot.work1 >> bit) & 1) != 0; + } + offset += work_width; + for bit in 0..work_width { + state[offset + bit] = ((snapshot.work2 >> bit) & 1) != 0; + } + offset += work_width; + let t_prime_length = if snapshot.t_prime == 0 { + 0 + } else { + 64 - snapshot.t_prime.leading_zeros() as usize + }; + for value in [ + snapshot.l_t, + t_prime_length, + snapshot.l_q, + snapshot.l_s, + snapshot.l_r_prime, + ] { + for bit in 0..length_width { + state[offset + bit] = ((value >> bit) & 1) != 0; + } + offset += length_width; + } + state +} + +#[must_use] +pub fn exhaustive_reference_whole_step_check() -> ReferenceWholeStepProofReport { + use super::register_shared_eea::register_shared_small_packed_trace; + use crate::circuit::OperationType; + + const N: usize = 6; + const MODULUS: u64 = 37; + const LENGTH_WIDTH: usize = 5; + const STEPS: usize = 36; + + let forward = build_full_window_step(N, LENGTH_WIDTH, false); + let inverse = build_full_window_step(N, LENGTH_WIDTH, true); + let data_qubits = 4 + 2 * (N + 3) + 5 * LENGTH_WIDTH; + assert_eq!(forward.active_qubits as usize, data_qubits); + assert_eq!(inverse.active_qubits as usize, data_qubits); + let total_qubits = (forward.next_qubit as usize).max(inverse.next_qubit as usize); + let mut boundary_transitions_checked = 0usize; + let mut inverse_transition_checks = 0usize; + let mut scratch_clean_checks = 0usize; + + for input in 1..MODULUS { + let trace = register_shared_small_packed_trace(input, MODULUS, N, STEPS); + assert_eq!(trace.len(), STEPS + 1); + let mut state = packed_snapshot_bits(trace[0], LENGTH_WIDTH, total_qubits); + for step in 1..=STEPS { + let before = state.clone(); + let output = apply_basis_vector(&forward.ops, state); + let expected = packed_snapshot_bits(trace[step], LENGTH_WIDTH, total_qubits); + assert_eq!( + &output[..data_qubits], + &expected[..data_qubits], + "whole-step mismatch: input={input} step={step} before={:?} expected={:?}", + trace[step - 1], + trace[step] + ); + assert!( + output[data_qubits..].iter().all(|&bit| !bit), + "whole-step scratch dirty: input={input} step={step}" + ); + let restored = apply_basis_vector(&inverse.ops, output.clone()); + assert_eq!( + restored, before, + "whole-step inverse mismatch: input={input} step={step}" + ); + boundary_transitions_checked += 1; + inverse_transition_checks += 1; + scratch_clean_checks += 1; + state = output; + } + } + + let emitted_toffoli = forward + .ops + .iter() + .filter(|operation| matches!(operation.kind, OperationType::CCX | OperationType::CCZ)) + .count(); + ReferenceWholeStepProofReport { + modulus: MODULUS, + nonzero_inputs_checked: (MODULUS - 1) as usize, + steps_per_input: STEPS, + boundary_transitions_checked, + inverse_transition_checks, + scratch_clean_checks, + data_qubits, + step_active_qubits: forward.active_qubits as usize, + step_peak_qubits: forward.peak_qubits as usize, + temporary_peak_qubits: forward.peak_qubits as usize - data_qubits, + emitted_ops: forward.ops.len(), + emitted_toffoli, + } +} + +#[must_use] +pub fn profile_reference_scheduled_inversion() -> ReferenceScheduledInversionProfile { + use crate::circuit::OperationType; + + std::env::set_var("POINT_ADD_COUNT_ONLY", "1"); + let mut circ = Circuit::new(); + let _passenger = circ.alloc_input_qreg_bits("rs.profile.passenger", 257); + let phase1 = circ.alloc_qreg("rs.profile.phase1"); + let phase2 = circ.alloc_qreg("rs.profile.phase2"); + let iteration_parity = circ.alloc_qreg("rs.profile.iteration"); + let sign = circ.alloc_qreg("rs.profile.sign"); + let work1 = circ.alloc_qreg_bits("rs.profile.work1", 259); + let work2 = circ.alloc_qreg_bits("rs.profile.work2", 259); + let l_t = circ.alloc_qreg_bits("rs.profile.l-t", REFERENCE_LENGTH_WIDTH); + let l_t_prime = circ.alloc_qreg_bits("rs.profile.l-t-prime", REFERENCE_LENGTH_WIDTH); + let l_q = circ.alloc_qreg_bits("rs.profile.l-q", REFERENCE_LENGTH_WIDTH); + let l_s = circ.alloc_qreg_bits("rs.profile.l-s", REFERENCE_LENGTH_WIDTH); + let l_r_prime = circ.alloc_qreg_bits("rs.profile.l-r-prime", REFERENCE_LENGTH_WIDTH); + let inversion_state_qubits = 2 * 259 + 5 * REFERENCE_LENGTH_WIDTH + 4; + let passenger_qubits = 257; + let point_add_state_qubits = inversion_state_qubits + passenger_qubits; + assert_eq!(circ.b.active_qubits as usize, point_add_state_qubits); + + for step in 1..=REFERENCE_STEPS { + register_shared_scheduled_step( + &mut circ, + step, + &phase1, + &phase2, + &iteration_parity, + &sign, + &work1, + &work2, + &l_t, + &l_t_prime, + &l_q, + &l_s, + &l_r_prime, + ); + } + let builder = circ.into_builder(); + std::env::remove_var("POINT_ADD_COUNT_ONLY"); + let emitted_toffoli = builder.counted_kind_ops[OperationType::CCX as usize] + + builder.counted_kind_ops[OperationType::CCZ as usize]; + ReferenceScheduledInversionProfile { + steps: REFERENCE_STEPS, + inversion_state_qubits, + passenger_qubits, + point_add_state_qubits, + inversion_peak_qubits: builder.peak_qubits as usize - passenger_qubits, + projected_point_add_peak_qubits: builder.peak_qubits as usize, + emitted_ops: builder.counted_kind_ops.iter().sum(), + emitted_toffoli, + emitted_hmr: builder.counted_kind_ops[OperationType::Hmr as usize], + emitted_resets: builder.counted_kind_ops[OperationType::R as usize], + } +} + +fn build_cuccaro(width: usize, inverse: bool) -> B { + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("rs.cuccaro.a", width); + let b = circ.alloc_qreg_bits("rs.cuccaro.b", width); + let carry = circ.alloc_qreg("rs.cuccaro.carry"); + let overflow = circ.alloc_qreg("rs.cuccaro.overflow"); + if inverse { + cuccaro_sub_mod_2n(&mut circ, &a, &b, &carry, &overflow); + } else { + cuccaro_add_mod_2n(&mut circ, &a, &b, &carry, &overflow); + } + circ.into_builder() +} + +#[must_use] +pub fn exhaustive_reference_cuccaro_check() -> ReferenceCuccaroProofReport { + let mut basis_states_checked = 0usize; + let mut carry_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + for width in 1..=7 { + let add = build_cuccaro(width, false); + let sub = build_cuccaro(width, true); + let mask = (1u64 << width) - 1; + for a in 0..=mask { + for b in 0..=mask { + let input = a | (b << width); + let sum = a + b; + let expected = a | ((sum & mask) << width) | ((sum >> width) << (2 * width + 1)); + let output = apply_scalar(&add.ops, input); + assert_eq!(output, expected); + assert_eq!((output >> (2 * width)) & 1, 0); + assert_eq!(apply_scalar(&sub.ops, output), input); + basis_states_checked += 1; + carry_clean_checks += 1; + inverse_pair_checks += 1; + } + } + } + ReferenceCuccaroProofReport { + widths_checked: 7, + basis_states_checked, + carry_clean_checks, + inverse_pair_checks, + add9: gate_counts(&build_cuccaro(REFERENCE_LENGTH_WIDTH, false).ops), + sub9: gate_counts(&build_cuccaro(REFERENCE_LENGTH_WIDTH, true).ops), + } +} + +fn build_location_swap(work_width: usize, length_width: usize, inverse: bool) -> B { + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("rs.location.phase1"); + let phase2 = circ.alloc_qreg("rs.location.phase2"); + let sign = circ.alloc_qreg("rs.location.sign"); + let work1 = circ.alloc_qreg_bits("rs.location.work1", work_width); + let l_t = circ.alloc_qreg_bits("rs.location.lt", length_width); + let l_q = circ.alloc_qreg_bits("rs.location.lq", length_width); + let scratch = circ.alloc_qreg_bits("rs.location.scratch", length_width + 2); + if inverse { + location_controlled_swap_one_hot_inverse( + &mut circ, &phase1, &phase2, &sign, &work1, 0, &l_t, &l_q, &scratch, + ); + } else { + location_controlled_swap_one_hot( + &mut circ, &phase1, &phase2, &sign, &work1, 0, &l_t, &l_q, &scratch, + ); + } + circ.into_builder() +} + +#[must_use] +pub fn exhaustive_reference_location_swap_check() -> ReferenceLocationSwapProofReport { + const TEST_LENGTH_WIDTH: usize = 3; + let mut basis_states_checked = 0usize; + let mut scratch_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + for work_width in 1..=6 { + let forward = build_location_swap(work_width, TEST_LENGTH_WIDTH, false); + let inverse = build_location_swap(work_width, TEST_LENGTH_WIDTH, true); + let work_mask = (1u64 << work_width) - 1; + let length_mask = (1u64 << TEST_LENGTH_WIDTH) - 1; + let data_width = 3 + work_width + 2 * TEST_LENGTH_WIDTH; + for input in 0..(1u64 << data_width) { + let phase1 = (input & 1) != 0; + let phase2 = ((input >> 1) & 1) != 0; + let mut sign = ((input >> 2) & 1) != 0; + let mut work = (input >> 3) & work_mask; + let l_t = (input >> (3 + work_width)) & length_mask; + let mut l_q = (input >> (3 + work_width + TEST_LENGTH_WIDTH)) & length_mask; + let active = phase1 ^ phase2; + if active && !phase1 { + l_q = l_q.wrapping_add(1) & length_mask; + } + let location = (l_t + l_q) & length_mask; + if active && location < work_width as u64 { + let work_bit = ((work >> location) & 1) != 0; + if work_bit != sign { + work ^= 1u64 << location; + sign = work_bit; + } + } + if active && phase1 { + l_q = l_q.wrapping_sub(1) & length_mask; + } + let expected = u64::from(phase1) + | (u64::from(phase2) << 1) + | (u64::from(sign) << 2) + | (work << 3) + | (l_t << (3 + work_width)) + | (l_q << (3 + work_width + TEST_LENGTH_WIDTH)); + let output = apply_scalar(&forward.ops, input); + assert_eq!(output, expected); + assert_eq!(output >> data_width, 0); + assert_eq!(apply_scalar(&inverse.ops, output), input); + basis_states_checked += 1; + scratch_clean_checks += 1; + inverse_pair_checks += 1; + } + } + + let full259_length9 = gate_counts(&build_location_swap(259, REFERENCE_LENGTH_WIDTH, false).ops); + let full259_length9_inverse = + gate_counts(&build_location_swap(259, REFERENCE_LENGTH_WIDTH, true).ops); + let schedule = exhaustive_reference_schedule_check(); + let fixed_toffoli = full259_length9.ccx - 35 * 259; + ReferenceLocationSwapProofReport { + work_widths_checked: 6, + basis_states_checked, + scratch_clean_checks, + inverse_pair_checks, + full259_length9, + full259_length9_inverse, + reference_steps: REFERENCE_STEPS, + full_window_toffoli_upper_bound: REFERENCE_STEPS * full259_length9.ccx, + scheduled_window_sum: schedule.quotient_swap_window_sum, + scheduled_toffoli: 35 * schedule.quotient_swap_window_sum + fixed_toffoli * REFERENCE_STEPS, + } +} + +/// Emit and simulate the exact reversible boundary map between canonical +/// challenge inputs and the public register-shared EEA initial layout. +/// +/// This deliberately excludes the 1,479 EEA steps. It proves that reflection, +/// bit-length extraction, register packing, and their inverse fit beneath the +/// 912-qubit reference allocation and clean every non-input lane. +#[doc(hidden)] +#[must_use] +pub fn reference_initializer_roundtrip_check() -> ReferenceInitializerProofReport { + use super::shrunken_pz_state_machine::{bit_length_lean, controlled_field_neg}; + use crate::circuit::{OperationType, QubitId}; + use crate::point_add::trailmix_port::arith::compare::compare_geq_const; + use crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE; + use crate::point_add::SECP256K1_P; + use crate::sim::Simulator; + use ruint::aliases::U256; + use sha3::{ + digest::{ExtendableOutput, Update, XofReader}, + Shake128, + }; + + const WORK_BITS: usize = 259; + const FIELD_BITS: usize = 257; + const PASSENGER_BITS: usize = 257; + const CONTROL_BITS: usize = 4; + const SCRATCH_BITS: usize = 97; + const PACKED_QUBITS: usize = 912; + const HALF_BYTES: [u8; 33] = [ + 0x18, 0xfe, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0x7f, 0x00, + ]; + + fn ids(register: &[QReg]) -> Vec { + register.iter().map(QReg::id).collect() + } + + fn load( + simulator: &mut Simulator<'_, R>, + register: &[u32], + value: U256, + shot: usize, + ) { + for (bit, &id) in register.iter().take(256).enumerate() { + if value.bit(bit) { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + + fn read(simulator: &Simulator<'_, R>, register: &[u32], shot: usize) -> U256 { + let mut value = U256::ZERO; + for (bit, &id) in register.iter().take(256).enumerate() { + if ((simulator.qubit(QubitId(u64::from(id))) >> shot) & 1) != 0 { + value.set_bit(bit, true); + } + } + value + } + + fn free_register(circ: &mut Circuit, register: Vec) { + for lane in register { + circ.zero_and_free(lane); + } + } + + std::env::remove_var("POINT_ADD_COUNT_ONLY"); + let mut circ = Circuit::new(); + assert!(!circ.b.count_only); + let mut dx = circ.alloc_input_qreg_bits("q925-init.dx", FIELD_BITS); + let dy = circ.alloc_input_qreg_bits("q925-init.dy", PASSENGER_BITS); + let dx_ids = ids(&dx); + let dy_ids = ids(&dy); + assert_eq!(circ.b.active_qubits as usize, 2 * FIELD_BITS); + + // The paper initializes the iteration parity with the reflection bit and + // runs EEA on |dx| <= p/2. + let iteration_parity = circ.alloc_qreg("q925-init.iteration-parity"); + compare_geq_const(&mut circ, &dx, &HALF_BYTES, &iteration_parity); + controlled_field_neg(&mut circ, &iteration_parity, &dx); + + let l_r_prime = circ.alloc_qreg_bits("q925-init.l-r-prime", REFERENCE_LENGTH_WIDTH); + let source: Vec<&QReg> = dx.iter().take(256).collect(); + bit_length_lean(&mut circ, &source, &l_r_prime, false); + let initialization_transient_peak_qubits = circ.b.peak_qubits as usize; + + // dx is little-endian. Two clean high pads followed by handle reversal + // produce the public Work2 layout: zero-padded t' followed by big-endian r'. + dx.push(circ.alloc_qreg("q925-init.work2-pad0")); + dx.push(circ.alloc_qreg("q925-init.work2-pad1")); + dx.reverse(); + let mut work2 = dx; + assert_eq!(work2.len(), WORK_BITS); + + // Work1 = [t_le | q_be | r_be] for (t,q,r)=(1,0,p). Position 1 is the + // delimiter; position 2 is the leading zero of the 257-bit p field. + let work1 = circ.alloc_qreg_bits("q925-init.work1", WORK_BITS); + circ.x(&work1[0]); + for bit in 0..256 { + if ((SECP256K1_P_LE[bit / 8] >> (bit % 8)) & 1) != 0 { + circ.x(&work1[WORK_BITS - 1 - bit]); + } + } + + let l_t = circ.alloc_qreg_bits("q925-init.l-t", REFERENCE_LENGTH_WIDTH); + let l_q = circ.alloc_qreg_bits("q925-init.l-q", REFERENCE_LENGTH_WIDTH); + let l_s = circ.alloc_qreg_bits("q925-init.l-s", REFERENCE_LENGTH_WIDTH); + circ.x(&l_t[0]); + let phase1 = circ.alloc_qreg("q925-init.phase1"); + let phase2 = circ.alloc_qreg("q925-init.phase2"); + let sign = circ.alloc_qreg("q925-init.sign"); + let scratch = circ.alloc_qreg_bits("q925-init.reference-scratch", SCRATCH_BITS); + let packed_active_qubits = circ.b.active_qubits as usize; + let packed_peak_qubits = circ.b.peak_qubits as usize; + assert_eq!(CONTROL_BITS, 1 + 3); + assert_eq!(packed_active_qubits, PACKED_QUBITS); + assert_eq!(packed_peak_qubits, PACKED_QUBITS); + + // Inverse boundary map. The untouched all-zero registers are released, + // constants are toggled away, and the reflected input is restored. + free_register(&mut circ, scratch); + circ.zero_and_free(phase1); + circ.zero_and_free(phase2); + circ.zero_and_free(sign); + circ.x(&l_t[0]); + free_register(&mut circ, l_t); + free_register(&mut circ, l_q); + free_register(&mut circ, l_s); + + circ.x(&work1[0]); + for bit in 0..256 { + if ((SECP256K1_P_LE[bit / 8] >> (bit % 8)) & 1) != 0 { + circ.x(&work1[WORK_BITS - 1 - bit]); + } + } + free_register(&mut circ, work1); + + work2.reverse(); + let pad1 = work2.pop().expect("Work2 pad1"); + let pad0 = work2.pop().expect("Work2 pad0"); + circ.zero_and_free(pad1); + circ.zero_and_free(pad0); + assert_eq!(work2.len(), FIELD_BITS); + dx = work2; + + let source: Vec<&QReg> = dx.iter().take(256).collect(); + bit_length_lean(&mut circ, &source, &l_r_prime, true); + free_register(&mut circ, l_r_prime); + controlled_field_neg(&mut circ, &iteration_parity, &dx); + compare_geq_const(&mut circ, &dx, &HALF_BYTES, &iteration_parity); + circ.zero_and_free(iteration_parity); + circ.flush_pending_frees(); + let final_active_qubits = circ.b.active_qubits as usize; + assert_eq!(final_active_qubits, 2 * FIELD_BITS); + + let builder = circ.into_builder(); + let emitted_toffoli = builder.counted_kind_ops[OperationType::CCX as usize] + + builder.counted_kind_ops[OperationType::CCZ as usize]; + let emitted_hmr = builder.counted_kind_ops[OperationType::Hmr as usize]; + let emitted_resets = builder.counted_kind_ops[OperationType::R as usize]; + + let half = SECP256K1_P >> 1; + let mut cases = Vec::with_capacity(64); + for shot in 0..64usize { + let dx_value = match shot { + 0 => U256::from(1u64), + 1 => half, + 2 => half + U256::from(1u64), + 3 => SECP256K1_P - U256::from(1u64), + _ => { + let high_bit = 1 + ((37 * shot) % 255); + let low = (U256::from(1u64) << high_bit) | U256::from((2 * shot + 1) as u64); + if shot & 1 == 0 { + low + } else { + SECP256K1_P - low + } + } + }; + let dy_small = U256::from((5 * shot + 3) as u64); + let dy_value = if shot % 3 == 0 { + SECP256K1_P - dy_small + } else { + dy_small + }; + assert!(dx_value != U256::ZERO && dx_value < SECP256K1_P); + assert!(dy_value < SECP256K1_P); + cases.push((dx_value, dy_value)); + } + + let mut seed = Shake128::default(); + seed.update(b"q925-register-shared-initializer-roundtrip"); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + builder.next_qubit as usize, + builder.next_bit as usize, + &mut xof, + ); + simulator.clear_for_shot(); + for (shot, &(dx_value, dy_value)) in cases.iter().enumerate() { + load(&mut simulator, &dx_ids, dx_value, shot); + load(&mut simulator, &dy_ids, dy_value, shot); + } + simulator.apply_iter(builder.ops.iter()); + + let mut reflected_cases_checked = 0usize; + for (shot, &(dx_value, dy_value)) in cases.iter().enumerate() { + assert_eq!(read(&simulator, &dx_ids, shot), dx_value); + assert_eq!(read(&simulator, &dy_ids, shot), dy_value); + assert_eq!( + (simulator.qubit(QubitId(u64::from(dx_ids[256]))) >> shot) & 1, + 0 + ); + assert_eq!( + (simulator.qubit(QubitId(u64::from(dy_ids[256]))) >> shot) & 1, + 0 + ); + reflected_cases_checked += usize::from(dx_value > half); + } + assert_eq!( + simulator.phase, 0, + "initializer roundtrip left phase garbage" + ); + + for id in dx_ids.iter().chain(dy_ids.iter()) { + *simulator.qubit_mut(QubitId(u64::from(*id))) = 0; + } + for id in 0..builder.next_qubit { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))), + 0, + "initializer roundtrip left q{id} dirty" + ); + } + + ReferenceInitializerProofReport { + cases_checked: cases.len(), + reflected_cases_checked, + non_reflected_cases_checked: cases.len() - reflected_cases_checked, + input_qubits: 2 * FIELD_BITS, + initialization_transient_peak_qubits, + packed_peak_qubits, + packed_active_qubits, + final_active_qubits, + emitted_ops: builder.ops.len(), + emitted_toffoli, + emitted_hmr, + emitted_resets, + classical_roundtrip_checks: cases.len(), + phase_cleanup_checks: cases.len(), + ancilla_cleanup_checks: cases.len(), + } +} + +fn q847_lifetime_local_resources(builder: &B) -> Q847LifetimeLocalResources { + let counts = measurement_classical_gate_counts(&builder.ops); + let active_qubits = builder.active_qubits as usize; + let peak_qubits = builder.peak_qubits as usize; + Q847LifetimeLocalResources { + active_qubits, + peak_qubits, + temporary_qubits: peak_qubits - active_qubits, + emitted_ops: builder.ops.len(), + emitted_toffoli: counts.ccx, + } +} + +fn assert_q847_default_stream_identity(configured: &B, direct: &B) { + assert_eq!(configured.ops, direct.ops); + assert_eq!(configured.next_qubit, direct.next_qubit); + assert_eq!(configured.next_bit, direct.next_bit); + assert_eq!(configured.active_qubits, direct.active_qubits); + assert_eq!(configured.peak_qubits, direct.peak_qubits); + assert_eq!(configured.free_qubits, direct.free_qubits); + assert_eq!(configured.allocation_serial, direct.allocation_serial); +} + +fn q847_basis_input(data_ids: &[u32], value: usize) -> u64 { + data_ids.iter().enumerate().fold(0u64, |state, (bit, id)| { + state | ((((value >> bit) & 1) as u64) << id) + }) +} + +fn verify_q847_simulator_equivalence_impl( + label: &[u8], + baseline: &B, + candidate: &B, + data_ids: &[u32], + external_mask: u64, + require_zero_phase: bool, +) -> (usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(baseline.next_qubit <= 64); + assert!(candidate.next_qubit <= 64); + let states = 1usize << data_ids.len(); + let mut cases_checked = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(label); + baseline_seed.update(&(batch_start as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.next_qubit as usize, + baseline.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_seed = Shake128::default(); + candidate_seed.update(label); + candidate_seed.update(&(batch_start as u64).to_le_bytes()); + let mut candidate_xof = candidate_seed.finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.next_qubit as usize, + candidate.next_bit as usize, + &mut candidate_xof, + ); + + for shot in 0..shots { + let value = batch_start + shot; + for (bit, &id) in data_ids.iter().enumerate() { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + *candidate_simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.ops.iter()); + candidate_simulator.apply_iter(candidate.ops.iter()); + if require_zero_phase { + assert_eq!( + baseline_simulator.phase & live, + 0, + "baseline {label:?} left phase garbage" + ); + assert_eq!( + candidate_simulator.phase & live, + 0, + "candidate {label:?} left phase garbage" + ); + phase_clean_checks += 2 * shots; + } + + for id in 0..baseline.next_qubit { + let baseline_value = baseline_simulator.qubit(QubitId(u64::from(id))) & live; + if external_mask & (1u64 << id) != 0 { + assert_eq!( + baseline_value, + candidate_simulator.qubit(QubitId(u64::from(id))) & live + ); + } else { + assert_eq!(baseline_value, 0, "baseline {label:?} left q{id} dirty"); + } + } + for id in 0..candidate.next_qubit { + if external_mask & (1u64 << id) == 0 { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "candidate {label:?} left q{id} dirty" + ); + } + } + cases_checked += shots; + ancilla_clean_checks += 2 * shots; + } + (cases_checked, phase_clean_checks, ancilla_clean_checks) +} + +fn verify_q847_simulator_equivalence( + label: &[u8], + baseline: &B, + candidate: &B, + data_ids: &[u32], + external_mask: u64, +) -> (usize, usize, usize) { + verify_q847_simulator_equivalence_impl( + label, + baseline, + candidate, + data_ids, + external_mask, + true, + ) +} + +fn verify_q847_selected_simulator_equivalence( + label: &[u8], + baseline: &B, + candidate: &B, + data_ids: &[u32], + external_mask: u64, + values: &[usize], +) -> (usize, usize, usize) { + verify_q847_selected_simulator_equivalence_with_phase_mode( + label, + baseline, + candidate, + data_ids, + external_mask, + values, + true, + ) +} + +fn verify_q847_selected_simulator_equivalence_with_phase_mode( + label: &[u8], + baseline: &B, + candidate: &B, + data_ids: &[u32], + external_mask: u64, + values: &[usize], + require_clean_phase: bool, +) -> (usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(baseline.next_qubit <= 64 && candidate.next_qubit <= 64); + let mut cases_checked = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + for (batch_index, batch) in values.chunks(64).enumerate() { + let shots = batch.len(); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut baseline_seed = Shake128::default(); + baseline_seed.update(label); + baseline_seed.update(&(batch_index as u64).to_le_bytes()); + let mut baseline_xof = baseline_seed.finalize_xof(); + let mut baseline_simulator = Simulator::new( + baseline.next_qubit as usize, + baseline.next_bit as usize, + &mut baseline_xof, + ); + let mut candidate_seed = Shake128::default(); + candidate_seed.update(label); + candidate_seed.update(&(batch_index as u64).to_le_bytes()); + let mut candidate_xof = candidate_seed.finalize_xof(); + let mut candidate_simulator = Simulator::new( + candidate.next_qubit as usize, + candidate.next_bit as usize, + &mut candidate_xof, + ); + for (shot, &value) in batch.iter().enumerate() { + for (bit, &id) in data_ids.iter().enumerate() { + if (value >> bit) & 1 != 0 { + *baseline_simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + *candidate_simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + baseline_simulator.apply_iter(baseline.ops.iter()); + candidate_simulator.apply_iter(candidate.ops.iter()); + if require_clean_phase { + assert_eq!(baseline_simulator.phase & live, 0, "baseline phase"); + assert_eq!(candidate_simulator.phase & live, 0, "candidate phase"); + } + for id in 0..baseline.next_qubit { + let baseline_value = baseline_simulator.qubit(QubitId(u64::from(id))) & live; + if external_mask & (1u64 << id) != 0 { + assert_eq!( + baseline_value, + candidate_simulator.qubit(QubitId(u64::from(id))) & live + ); + } else { + assert_eq!(baseline_value, 0, "baseline {label:?} left q{id} dirty"); + } + } + for id in 0..candidate.next_qubit { + if external_mask & (1u64 << id) == 0 { + assert_eq!( + candidate_simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "candidate {label:?} left q{id} dirty" + ); + } + } + cases_checked += shots; + if require_clean_phase { + phase_clean_checks += 2 * shots; + } + ancilla_clean_checks += 2 * shots; + } + (cases_checked, phase_clean_checks, ancilla_clean_checks) +} + +fn verify_preserved_dy_top_borrow_windows( + label: &[u8], + candidate: &PromisedLqSwapProofHarness, +) -> (usize, usize, usize) { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(candidate.builder.next_qubit <= 64); + assert!(!candidate.preserved_dy_top_windows.is_empty()); + let states = 1usize << candidate.data_ids.len(); + let mut entry_checks = 0usize; + let mut restore_checks = 0usize; + let mut phase_checks = 0usize; + for (window_index, window) in candidate.preserved_dy_top_windows.iter().enumerate() { + assert_eq!(candidate.preserved_dy_top_mask, 1u64 << window.lender_id); + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut seed = Shake128::default(); + seed.update(label); + seed.update(&(window_index as u64).to_le_bytes()); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + candidate.builder.next_qubit as usize, + candidate.builder.next_bit as usize, + &mut xof, + ); + for shot in 0..shots { + let value = batch_start + shot; + for (bit, &id) in candidate.data_ids.iter().enumerate() { + if (value >> bit) & 1 != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(candidate.builder.ops[..window.entry_ops_idx].iter()); + assert_eq!( + simulator.qubit(QubitId(u64::from(window.lender_id))) & live, + 0, + "{label:?} lender dirty at borrow entry" + ); + assert_eq!( + simulator.phase & live, + 0, + "{label:?} phase dirty at borrow entry" + ); + simulator.apply_iter( + candidate.builder.ops[window.entry_ops_idx..window.restore_ops_idx].iter(), + ); + assert_eq!( + simulator.qubit(QubitId(u64::from(window.lender_id))) & live, + 0, + "{label:?} lender dirty after restore" + ); + assert_eq!( + simulator.phase & live, + 0, + "{label:?} phase dirty after restore" + ); + entry_checks += shots; + restore_checks += shots; + phase_checks += 2 * shots; + } + } + (entry_checks, restore_checks, phase_checks) +} + +fn preserved_dy_top_alias_rejections() -> usize { + use std::panic::{catch_unwind, AssertUnwindSafe}; + + fn build_rejection(kind: usize) { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q846.reject.control"); + let left_length = circ.alloc_qreg_bits("q846.reject.left-length", 2); + let work = circ.alloc_qreg_bits("q846.reject.work", 3); + let output = circ.alloc_qreg_bits("q846.reject.output", 2); + let scratch = circ.alloc_qreg_bits("q846.reject.scratch", 3); + let lender = match kind { + 0 => &control, + 1 => &left_length[0], + 2 => &work[0], + 3 => &output[0], + 4 => &scratch[0], + _ => unreachable!(), + }; + controlled_xor_rotated_suffix_bit_length( + &mut circ, + &control, + &left_length, + &work, + &output, + &scratch, + &[lender], + ); + } + + let previous_hook = std::panic::take_hook(); + std::panic::set_hook(Box::new(|_| {})); + let mut rejected = 0usize; + for kind in 0..5 { + assert!(catch_unwind(AssertUnwindSafe(|| build_rejection(kind))).is_err()); + rejected += 1; + } + std::panic::set_hook(previous_hook); + rejected +} + +fn verify_q847_simulator_data_and_ancilla_equivalence( + label: &[u8], + baseline: &B, + candidate: &B, + data_ids: &[u32], + external_mask: u64, +) -> (usize, usize) { + let (cases, phases, ancillas) = verify_q847_simulator_equivalence_impl( + label, + baseline, + candidate, + data_ids, + external_mask, + false, + ); + assert_eq!(phases, 0); + (cases, ancillas) +} + +fn verify_coefficient_add_lender_window_phase_clean( + label: &[u8], + candidate: &B, + data_ids: &[u32], + trace: CoefficientAddLenderTrace, +) -> usize { + use crate::circuit::QubitId; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(candidate.next_qubit <= 64); + assert_eq!(trace.calls, 1); + let states = 1usize << data_ids.len(); + let mut phase_clean_checks = 0usize; + for batch_start in (0..states).step_by(64) { + let shots = (states - batch_start).min(64); + let live = if shots == 64 { + u64::MAX + } else { + (1u64 << shots) - 1 + }; + let mut seed = Shake128::default(); + seed.update(label); + seed.update(&(batch_start as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + candidate.next_qubit as usize, + candidate.next_bit as usize, + &mut xof, + ); + for shot in 0..shots { + let value = batch_start + shot; + for (bit, &id) in data_ids.iter().enumerate() { + if (value >> bit) & 1 != 0 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(candidate.ops[..trace.entry_ops_idx].iter()); + assert_eq!( + simulator.phase & live, + 0, + "{label:?} dirty lender entry phase" + ); + for id in 0..candidate.next_qubit { + if trace.lender_mask & (1u64 << id) != 0 { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "{label:?} dirty lender q{id} at entry" + ); + } + } + simulator.apply_iter(candidate.ops[trace.entry_ops_idx..trace.restore_ops_idx].iter()); + assert_eq!( + simulator.phase & live, + 0, + "{label:?} dirty lender restore phase" + ); + for id in 0..candidate.next_qubit { + if trace.lender_mask & (1u64 << id) != 0 { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "{label:?} dirty lender q{id} at restore" + ); + } + } + phase_clean_checks += 2 * shots; + } + phase_clean_checks +} + +fn configure_q847_lifetime_prerequisites(coefficient_loan: bool) { + configure_raw_bit_length_loan_proof(RawBitLengthZeroMode::Fused, coefficient_loan); + std::env::set_var(INPLACE_ROTATED_BITLEN_BOUNDARY_FLAG, "1"); + std::env::set_var(FUSED_PREFIX_SCRATCH_LOAN_FLAG, "1"); + std::env::remove_var(PRESERVED_DY_TOP_PREFIX_LOAN_FLAG); + std::env::remove_var(MIXED_WIDTH_L_R_PRIME_FLAG); + std::env::remove_var(PROMISED_LQ_SWAP_BORROW_FLAG); + std::env::remove_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG); + std::env::remove_var(Q845_SWAP_ONLY_T_PRIME_LENGTH_FLAG); + std::env::remove_var(SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG); + std::env::remove_var(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG); + std::env::remove_var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG); +} + +struct PromisedLqSwapProofHarness { + builder: B, + data_ids: Vec, + l_t_prime_ids: Vec, + l_q_ids: Vec, + l_s_ids: Vec, + preserved_dy_top_id: u32, + external_mask: u64, + iteration_mask: u64, + l_q_mask: u64, + l_s_mask: u64, + preserved_dy_top_mask: u64, + preserved_dy_top_windows: Vec, + q839_support_lender_windows: Vec, + prefix_trace: FusedPrefixScratchLoanAllocationTrace, +} + +fn build_promised_l_q_swap_proof_harness( + work_width: usize, + length_width: usize, + inverse: bool, + route: PromisedLqSwapRoute, +) -> PromisedLqSwapProofHarness { + build_promised_l_q_swap_proof_harness_with_preserved_dy_top( + work_width, + length_width, + inverse, + route, + false, + ) +} + +fn build_promised_l_q_swap_proof_harness_with_preserved_dy_top( + work_width: usize, + length_width: usize, + inverse: bool, + route: PromisedLqSwapRoute, + borrow_preserved_dy_top: bool, +) -> PromisedLqSwapProofHarness { + build_promised_l_q_swap_proof_harness_with_widths( + work_width, + length_width, + length_width, + inverse, + route, + borrow_preserved_dy_top, + ) +} + +fn build_promised_l_q_swap_proof_harness_with_widths( + work_width: usize, + length_width: usize, + r_length_width: usize, + inverse: bool, + route: PromisedLqSwapRoute, + borrow_preserved_dy_top: bool, +) -> PromisedLqSwapProofHarness { + assert!(length_width > 0); + assert_l_r_prime_metadata_width(length_width, r_length_width); + let mut circ = Circuit::new(); + let iteration = circ.alloc_qreg("q847.swap.iteration"); + let work1 = circ.alloc_qreg_bits("q847.swap.work1", work_width); + let work2 = circ.alloc_qreg_bits("q847.swap.work2", work_width); + let l_t = circ.alloc_qreg_bits("q847.swap.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("q847.swap.l-t-prime", length_width); + let l_q_width = if q845_swap_only_t_prime_length_requested() { + r_length_width + } else { + length_width + }; + let l_q = circ.alloc_qreg_bits("q847.swap.l-q", l_q_width); + let l_s = circ.alloc_qreg_bits("q847.swap.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("q847.swap.l-r-prime", r_length_width); + // This proof-local lane models either ec3.ty_ov or + // rs.divider.dy-restored[256]. It is intentionally excluded from the + // basis inputs, so every tested schedule enters with canonical dy clean. + let preserved_dy_top = circ.alloc_qreg("q846.swap.preserved-dy-top"); + let data_ids: Vec = std::iter::once(&iteration) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_t_prime) + .chain(&l_q) + .chain(&l_s) + .chain(&l_r_prime) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&iteration) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_t_prime) + .chain(&l_q) + .chain(&l_s) + .chain(&l_r_prime), + ) | 1u64.checked_shl(preserved_dy_top.id()).unwrap_or(0); + let iteration_mask = 1u64 << iteration.id(); + let l_q_mask = qreg_mask(&l_q); + let l_s_mask = qreg_mask(&l_s); + let preserved_dy_top_mask = 1u64.checked_shl(preserved_dy_top.id()).unwrap_or(0); + let l_t_prime_ids = l_t_prime.iter().map(QReg::id).collect::>(); + let l_q_ids = l_q.iter().map(QReg::id).collect::>(); + let l_s_ids = l_s.iter().map(QReg::id).collect::>(); + let preserved_dy_top_id = preserved_dy_top.id(); + + let predicate_chain_width = 3usize.max(length_width.saturating_sub(2)); + let condition_scratch = + circ.alloc_qreg_bits("q847.swap.zero-predicate", 3 + predicate_chain_width); + let zero_q = &condition_scratch[0]; + let zero_s = &condition_scratch[1]; + let control = &condition_scratch[2]; + let chain = &condition_scratch[3..]; + compute_zero(&mut circ, &l_q, zero_q, chain); + compute_zero(&mut circ, &l_s, zero_s, chain); + let preserved_dy_top_scratch = borrow_preserved_dy_top + .then_some(&preserved_dy_top) + .into_iter() + .collect::>(); + begin_preserved_dy_top_borrow_trace(); + begin_q839_support_lender_borrow_trace(); + begin_fused_prefix_scratch_loan_allocation_trace(); + conditional_work_and_length_swap_under_zero_predicate( + &mut circ, + zero_q, + zero_s, + control, + &iteration, + &work1, + &work2, + &l_t, + &l_t_prime, + &l_q, + &l_s, + &l_r_prime, + (1, work_width), + (1, work_width), + chain, + &preserved_dy_top_scratch, + inverse, + route, + ); + let prefix_trace = finish_fused_prefix_scratch_loan_allocation_trace(); + let q839_support_lender_windows = finish_q839_support_lender_borrow_trace(); + let preserved_dy_top_windows = finish_preserved_dy_top_borrow_trace(); + uncompute_zero(&mut circ, &l_s, zero_s, chain); + uncompute_zero(&mut circ, &l_q, zero_q, chain); + free_clean(&mut circ, condition_scratch); + + PromisedLqSwapProofHarness { + builder: circ.into_builder(), + data_ids, + l_t_prime_ids, + l_q_ids, + l_s_ids, + preserved_dy_top_id, + external_mask, + iteration_mask, + l_q_mask, + l_s_mask, + preserved_dy_top_mask, + preserved_dy_top_windows, + q839_support_lender_windows, + prefix_trace, + } +} + +/// Exhaustively check the production zero predicate around the promised +/// `l_q` swap lender, including arbitrary `l_q` values whenever control is off. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_promised_l_q_swap_borrow_check() -> PromisedLqSwapBorrowProofReport { + assert!( + std::env::var_os(PROMISED_LQ_SWAP_BORROW_FLAG).is_none(), + "the promised l_q swap borrow must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_q847_lifetime_prerequisites(true); + let configurations = [(1usize, 1usize), (2, 2)]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_checks = 0usize; + let mut control_off_nonzero_l_q_checks = 0usize; + let mut control_off_invalid_support_checks = 0usize; + let mut control_on_promised_support_checks = 0usize; + let mut lender_restore_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for &(work_width, length_width) in &configurations { + std::env::remove_var(PROMISED_LQ_SWAP_BORROW_FLAG); + let legacy = build_promised_l_q_swap_proof_harness( + work_width, + length_width, + false, + PromisedLqSwapRoute::Allocated, + ); + let baseline = build_promised_l_q_swap_proof_harness( + work_width, + length_width, + false, + PromisedLqSwapRoute::PromisedAllocated, + ); + std::env::set_var(PROMISED_LQ_SWAP_BORROW_FLAG, "1"); + let candidate = build_promised_l_q_swap_proof_harness( + work_width, + length_width, + false, + PromisedLqSwapRoute::Configured, + ); + let candidate_inverse = build_promised_l_q_swap_proof_harness( + work_width, + length_width, + true, + PromisedLqSwapRoute::Configured, + ); + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let (simulator_cases, phases, ancillas) = verify_q847_simulator_equivalence( + b"q847-promised-lq-swap", + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & !candidate.external_mask, 0); + assert_eq!( + candidate_output & candidate.l_q_mask, + input & candidate.l_q_mask + ); + let control_on = (candidate_output ^ input) & candidate.iteration_mask != 0; + if control_on { + assert_eq!( + candidate_output, + apply_scalar(&legacy.builder.ops, input), + "support-qualified borrow diverged from the legacy swap" + ); + control_on_promised_support_checks += 1; + } else { + assert_eq!(candidate_output, input, "control-off swap must be identity"); + control_off_checks += 1; + control_off_nonzero_l_q_checks += usize::from(input & candidate.l_q_mask != 0); + control_off_invalid_support_checks += + usize::from(input & candidate.l_q_mask == 0 && input & candidate.l_s_mask == 0); + } + assert_eq!( + apply_scalar(&candidate_inverse.builder.ops, candidate_output), + input + ); + basis_states_checked += 1; + scalar_equivalence_checks += 1; + lender_restore_checks += 1; + inverse_pair_checks += 1; + } + } + + std::env::remove_var(PROMISED_LQ_SWAP_BORROW_FLAG); + let configured_default = + build_promised_l_q_swap_proof_harness(2, 2, false, PromisedLqSwapRoute::Configured); + let direct_default = + build_promised_l_q_swap_proof_harness(2, 2, false, PromisedLqSwapRoute::Allocated); + assert_q847_default_stream_identity(&configured_default.builder, &direct_default.builder); + let configured_default_inverse = + build_promised_l_q_swap_proof_harness(2, 2, true, PromisedLqSwapRoute::Configured); + let direct_default_inverse = + build_promised_l_q_swap_proof_harness(2, 2, true, PromisedLqSwapRoute::Allocated); + assert_q847_default_stream_identity( + &configured_default_inverse.builder, + &direct_default_inverse.builder, + ); + + let baseline_local = q847_lifetime_local_resources( + &build_promised_l_q_swap_proof_harness( + 259, + REFERENCE_LENGTH_WIDTH, + false, + PromisedLqSwapRoute::Allocated, + ) + .builder, + ); + let candidate_local = q847_lifetime_local_resources( + &build_promised_l_q_swap_proof_harness( + 259, + REFERENCE_LENGTH_WIDTH, + false, + PromisedLqSwapRoute::BorrowLq, + ) + .builder, + ); + assert_eq!(baseline_local.active_qubits, candidate_local.active_qubits); + assert_eq!(baseline_local.peak_qubits - candidate_local.peak_qubits, 8); + assert!(candidate_local.emitted_ops > baseline_local.emitted_ops); + assert!(candidate_local.emitted_toffoli > baseline_local.emitted_toffoli); + let whole_point_add_invocations = 4 * REFERENCE_STEPS.div_ceil(4); + let local_ops_delta = candidate_local.emitted_ops as i64 - baseline_local.emitted_ops as i64; + let local_toffoli_delta = + candidate_local.emitted_toffoli as i64 - baseline_local.emitted_toffoli as i64; + + PromisedLqSwapBorrowProofReport { + configurations_checked: configurations.len(), + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_checks, + control_off_nonzero_l_q_checks, + control_off_invalid_support_checks, + control_on_promised_support_checks, + lender_restore_checks, + inverse_pair_checks, + phase_clean_checks, + ancilla_clean_checks, + default_stream_identity_checks: 2, + reference_lender_lanes: REFERENCE_LENGTH_WIDTH, + reset_ops_removed_per_invocation: REFERENCE_LENGTH_WIDTH - 1, + whole_point_add_invocations, + whole_point_add_ops_delta: whole_point_add_invocations as i64 * local_ops_delta, + whole_point_add_toffoli_delta: whole_point_add_invocations as i64 * local_toffoli_delta, + baseline_local, + candidate_local, + local_qubit_delta: candidate_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_ops_delta, + local_toffoli_delta, + } +} + +/// Prove that the support discrepancy can remain in `l_q` across the promised +/// swap. The support-qualified branch has discrepancy zero; every gate that +/// temporarily uses `l_q` is controlled by that branch, so arbitrary +/// discrepancy values on the control-off branch are preserved exactly. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_promised_swap_support_lifetime_fusion_check( +) -> PromisedSwapSupportLifetimeFusionProofReport { + assert!( + std::env::var_os(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG).is_none(), + "the promised-swap support lifetime fusion must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_q847_lifetime_prerequisites(true); + std::env::set_var(PROMISED_LQ_SWAP_BORROW_FLAG, "1"); + + let configurations = [(1usize, 1usize, 1usize), (2, 2, 2), (2, 2, 1)]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_checks = 0usize; + let mut control_off_nonzero_l_q_checks = 0usize; + let mut control_on_promised_support_checks = 0usize; + let mut excluded_mixed_width_overflow_states = 0usize; + let mut lender_restore_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for &(work_width, length_width, r_length_width) in &configurations { + std::env::remove_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG); + let baseline = build_promised_l_q_swap_proof_harness_with_widths( + work_width, + length_width, + r_length_width, + false, + PromisedLqSwapRoute::BorrowLq, + false, + ); + let baseline_inverse = build_promised_l_q_swap_proof_harness_with_widths( + work_width, + length_width, + r_length_width, + true, + PromisedLqSwapRoute::BorrowLq, + false, + ); + std::env::set_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, "1"); + let candidate = build_promised_l_q_swap_proof_harness_with_widths( + work_width, + length_width, + r_length_width, + false, + PromisedLqSwapRoute::BorrowLq, + false, + ); + let candidate_inverse = build_promised_l_q_swap_proof_harness_with_widths( + work_width, + length_width, + r_length_width, + true, + PromisedLqSwapRoute::BorrowLq, + false, + ); + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + + let mut supported_values = Vec::new(); + let mut supported_inverse_values = Vec::new(); + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + let baseline_control_on = + (baseline_output ^ input) & baseline.iteration_mask != 0; + let baseline_lender_restored = + baseline_output & baseline.l_q_mask == input & baseline.l_q_mask; + if baseline_control_on && !baseline_lender_restored { + // With r_length_width = length_width - 1, arbitrary reduced + // states can request a suffix length outside the representable + // metadata range. The production mixed-width route separately + // proves that this overflow is unreachable. + excluded_mixed_width_overflow_states += 1; + basis_states_checked += 1; + continue; + } + assert_eq!( + candidate_output, + baseline_output, + "support-lifetime forward mismatch work={work_width} len={length_width} rlen={r_length_width} value={value} input={input:#x} baseline={baseline_output:#x} candidate={candidate_output:#x} lq={:#x} ls={:#x}", + input & candidate.l_q_mask, + input & candidate.l_s_mask, + ); + assert_eq!(candidate_output & !candidate.external_mask, 0); + assert_eq!(candidate_output & candidate.l_q_mask, input & candidate.l_q_mask); + + let baseline_inverse_output = apply_scalar(&baseline_inverse.builder.ops, input); + let candidate_inverse_output = apply_scalar(&candidate_inverse.builder.ops, input); + assert_eq!(candidate_inverse_output, baseline_inverse_output); + assert_eq!( + apply_scalar(&candidate_inverse.builder.ops, candidate_output), + input + ); + + if baseline_control_on { + supported_values.push(value); + supported_inverse_values.push( + candidate + .data_ids + .iter() + .enumerate() + .fold(0usize, |packed, (bit, id)| { + packed | ((((candidate_output >> id) & 1) as usize) << bit) + }), + ); + control_on_promised_support_checks += 1; + } else { + control_off_checks += 1; + control_off_nonzero_l_q_checks += + usize::from(input & candidate.l_q_mask != 0); + } + basis_states_checked += 1; + scalar_equivalence_checks += 2; + lender_restore_checks += 1; + inverse_pair_checks += 1; + } + let (_, supported_phases, supported_ancillas) = + verify_q847_selected_simulator_equivalence( + b"support-phase-clean", + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + &supported_values, + ); + simulator_equivalence_checks += supported_values.len(); + phase_clean_checks += supported_phases; + ancilla_clean_checks += supported_ancillas; + let (_, inverse_phases, inverse_ancillas) = verify_q847_selected_simulator_equivalence( + b"support-inverse-phase-clean", + &baseline_inverse.builder, + &candidate_inverse.builder, + &baseline_inverse.data_ids, + baseline_inverse.external_mask, + &supported_inverse_values, + ); + simulator_equivalence_checks += supported_inverse_values.len(); + phase_clean_checks += inverse_phases; + ancilla_clean_checks += inverse_ancillas; + } + + std::env::remove_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG); + let default_forward = build_promised_l_q_swap_proof_harness_with_widths( + 2, + 2, + 1, + false, + PromisedLqSwapRoute::BorrowLq, + false, + ); + let default_inverse = build_promised_l_q_swap_proof_harness_with_widths( + 2, + 2, + 1, + true, + PromisedLqSwapRoute::BorrowLq, + false, + ); + std::env::set_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, "0"); + let explicit_off_forward = build_promised_l_q_swap_proof_harness_with_widths( + 2, + 2, + 1, + false, + PromisedLqSwapRoute::BorrowLq, + false, + ); + let explicit_off_inverse = build_promised_l_q_swap_proof_harness_with_widths( + 2, + 2, + 1, + true, + PromisedLqSwapRoute::BorrowLq, + false, + ); + assert_q847_default_stream_identity(&default_forward.builder, &explicit_off_forward.builder); + assert_q847_default_stream_identity(&default_inverse.builder, &explicit_off_inverse.builder); + + std::env::remove_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG); + let baseline_local = q847_lifetime_local_resources( + &build_promised_l_q_swap_proof_harness_with_widths( + 259, + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + false, + PromisedLqSwapRoute::BorrowLq, + false, + ) + .builder, + ); + std::env::set_var(PROMISED_SWAP_SUPPORT_LIFETIME_FUSION_FLAG, "1"); + let candidate_local = q847_lifetime_local_resources( + &build_promised_l_q_swap_proof_harness_with_widths( + 259, + REFERENCE_LENGTH_WIDTH, + REFERENCE_R_LENGTH_WIDTH, + false, + PromisedLqSwapRoute::BorrowLq, + false, + ) + .builder, + ); + let local_qubit_delta = candidate_local.peak_qubits as i64 - baseline_local.peak_qubits as i64; + let local_ops_delta = candidate_local.emitted_ops as i64 - baseline_local.emitted_ops as i64; + let local_toffoli_delta = + candidate_local.emitted_toffoli as i64 - baseline_local.emitted_toffoli as i64; + assert_eq!(local_qubit_delta, 0); + assert!(local_ops_delta < 0); + assert!(local_toffoli_delta < 0); + + PromisedSwapSupportLifetimeFusionProofReport { + configurations_checked: configurations.len(), + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_checks, + control_off_nonzero_l_q_checks, + control_on_promised_support_checks, + excluded_mixed_width_overflow_states, + lender_restore_checks, + inverse_pair_checks, + phase_clean_checks, + ancilla_clean_checks, + default_stream_identity_checks: 2, + baseline_local, + candidate_local, + local_qubit_delta, + local_ops_delta, + local_toffoli_delta, + } +} + +/// Exhaustively compare the preserved canonical `dy[256]` lender against the +/// independent owned fused-prefix scratch route at reduced widths. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_preserved_dy_top_prefix_loan_check() -> PreservedDyTopPrefixLoanProofReport { + assert!( + std::env::var_os(PRESERVED_DY_TOP_PREFIX_LOAN_FLAG).is_none(), + "the preserved dy top prefix loan must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_q847_lifetime_prerequisites(true); + std::env::set_var(PROMISED_LQ_SWAP_BORROW_FLAG, "1"); + + let configurations = [(1usize, 1usize), (2, 2)]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_checks = 0usize; + let mut lender_clean_entry_checks = 0usize; + let mut lender_restore_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut borrow_windows_checked = 0usize; + + for &(work_width, length_width) in &configurations { + let mut candidates = Vec::with_capacity(2); + let mut baselines = Vec::with_capacity(2); + for &inverse in &[false, true] { + let baseline = build_promised_l_q_swap_proof_harness_with_preserved_dy_top( + work_width, + length_width, + inverse, + PromisedLqSwapRoute::Configured, + false, + ); + let candidate = build_promised_l_q_swap_proof_harness_with_preserved_dy_top( + work_width, + length_width, + inverse, + PromisedLqSwapRoute::Configured, + true, + ); + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert!(baseline.preserved_dy_top_windows.is_empty()); + assert_eq!(baseline.prefix_trace.calls, candidate.prefix_trace.calls); + assert!(baseline.prefix_trace.calls > 0); + assert_eq!( + baseline.prefix_trace.maximum_owned_lanes, + candidate.prefix_trace.maximum_owned_lanes + 1 + ); + assert_eq!( + candidate.prefix_trace.maximum_borrowed_lanes, + baseline.prefix_trace.maximum_borrowed_lanes + 1 + ); + borrow_windows_checked += candidate.preserved_dy_top_windows.len(); + + let label = if inverse { + b"q846-preserved-dy-top-inverse".as_slice() + } else { + b"q846-preserved-dy-top-forward".as_slice() + }; + let (simulator_cases, phases, ancillas) = verify_q847_simulator_equivalence( + label, + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + let (entries, restores, window_phases) = + verify_preserved_dy_top_borrow_windows(label, &candidate); + lender_clean_entry_checks += entries; + lender_restore_checks += restores; + phase_clean_checks += window_phases; + + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & !candidate.external_mask, 0); + assert_eq!(candidate_output & candidate.preserved_dy_top_mask, 0); + if (candidate_output ^ input) & candidate.iteration_mask == 0 { + assert_eq!( + candidate_output, input, + "control-off route must be identity" + ); + control_off_checks += 1; + } + basis_states_checked += 1; + scalar_equivalence_checks += 1; + lender_restore_checks += 1; + } + baselines.push(baseline); + candidates.push(candidate); + } + + let candidate_forward = &candidates[0]; + let candidate_inverse = &candidates[1]; + for value in 0..(1usize << candidate_forward.data_ids.len()) { + let input = q847_basis_input(&candidate_forward.data_ids, value); + let output = apply_scalar(&candidate_forward.builder.ops, input); + assert_eq!( + apply_scalar(&candidate_inverse.builder.ops, output), + input, + "preserved dy top forward/inverse pair failed" + ); + inverse_pair_checks += 1; + } + drop(baselines); + } + + let baseline_local = build_promised_l_q_swap_proof_harness_with_preserved_dy_top( + 259, + REFERENCE_LENGTH_WIDTH, + false, + PromisedLqSwapRoute::Configured, + false, + ); + let candidate_local = build_promised_l_q_swap_proof_harness_with_preserved_dy_top( + 259, + REFERENCE_LENGTH_WIDTH, + false, + PromisedLqSwapRoute::Configured, + true, + ); + let baseline_local_resources = q847_lifetime_local_resources(&baseline_local.builder); + let candidate_local_resources = q847_lifetime_local_resources(&candidate_local.builder); + assert_eq!(baseline_local.prefix_trace.maximum_owned_lanes, 2); + assert_eq!(baseline_local.prefix_trace.maximum_borrowed_lanes, 7); + assert_eq!(candidate_local.prefix_trace.maximum_owned_lanes, 1); + assert_eq!(candidate_local.prefix_trace.maximum_borrowed_lanes, 8); + let baseline_owned_prefix_lanes = baseline_local.prefix_trace.maximum_owned_lanes; + let candidate_owned_prefix_lanes = candidate_local.prefix_trace.maximum_owned_lanes; + assert_eq!( + baseline_local_resources.active_qubits, + candidate_local_resources.active_qubits + ); + assert_eq!( + baseline_local_resources.peak_qubits - candidate_local_resources.peak_qubits, + 1 + ); + assert_eq!( + baseline_local_resources.emitted_toffoli, + candidate_local_resources.emitted_toffoli + ); + assert!(candidate_local_resources.emitted_ops < baseline_local_resources.emitted_ops); + + let alias_rejections = preserved_dy_top_alias_rejections(); + PreservedDyTopPrefixLoanProofReport { + configurations_checked: configurations.len(), + directions_checked: 2, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_checks, + lender_clean_entry_checks, + lender_restore_checks, + inverse_pair_checks, + phase_clean_checks, + ancilla_clean_checks, + borrow_windows_checked, + alias_rejections, + baseline_owned_prefix_lanes, + candidate_owned_prefix_lanes, + local_qubit_delta: candidate_local_resources.peak_qubits as i64 + - baseline_local_resources.peak_qubits as i64, + local_ops_delta: candidate_local_resources.emitted_ops as i64 + - baseline_local_resources.emitted_ops as i64, + local_toffoli_delta: candidate_local_resources.emitted_toffoli as i64 + - baseline_local_resources.emitted_toffoli as i64, + } +} + +struct MixedLrPrimeHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + control_mask: u64, + omitted_high_mask: u64, +} + +fn build_mixed_l_r_prime_boundary_harness( + source_width: usize, + output_width: usize, + mixed: bool, + applications: usize, +) -> MixedLrPrimeHarness { + assert!(output_width >= 2); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q845.boundary.control"); + let source = circ.alloc_qreg_bits("q845.boundary.source", source_width); + let boundary = circ.alloc_qreg_bits("q845.boundary.l-r-prime-storage", output_width); + let output = circ.alloc_qreg_bits("q845.boundary.output", output_width); + let scratch = circ.alloc_qreg_bits("q845.boundary.scratch", 3); + let logical_boundary = &boundary[..output_width - 1]; + let data_ids: Vec = std::iter::once(&control) + .chain(&source) + .chain(logical_boundary) + .chain(&output) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&control) + .chain(&source) + .chain(&boundary) + .chain(&output), + ); + let source_refs: Vec<&QReg> = source.iter().collect(); + let scratch_refs: Vec<&QReg> = scratch.iter().collect(); + let boundary_view = if mixed { logical_boundary } else { &boundary }; + for _ in 0..applications { + controlled_xor_saturating_bit_length_difference_with_route( + &mut circ, + &control, + boundary_view, + &source_refs, + &output, + &scratch_refs, + None, + SaturatingDifferenceBoundaryRoute::Inplace, + ); + } + free_clean(&mut circ, scratch); + MixedLrPrimeHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask: 1u64 << control.id(), + omitted_high_mask: 1u64 << boundary[output_width - 1].id(), + } +} + +fn build_mixed_l_r_prime_swap_harness( + work_width: usize, + length_width: usize, + mixed: bool, + inverse: bool, +) -> MixedLrPrimeHarness { + assert!(length_width >= 2); + let mut circ = Circuit::new(); + let iteration = circ.alloc_qreg("q845.swap.iteration"); + let work1 = circ.alloc_qreg_bits("q845.swap.work1", work_width); + let work2 = circ.alloc_qreg_bits("q845.swap.work2", work_width); + let l_t = circ.alloc_qreg_bits("q845.swap.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("q845.swap.l-t-prime", length_width); + let l_q = circ.alloc_qreg_bits("q845.swap.l-q", length_width); + let l_s = circ.alloc_qreg_bits("q845.swap.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("q845.swap.l-r-prime-storage", length_width); + let logical_l_r_prime = &l_r_prime[..length_width - 1]; + let data_ids: Vec = std::iter::once(&iteration) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_t_prime) + .chain(&l_q) + .chain(&l_s) + .chain(logical_l_r_prime) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&iteration) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_t_prime) + .chain(&l_q) + .chain(&l_s) + .chain(&l_r_prime), + ); + let l_r_prime_view = if mixed { logical_l_r_prime } else { &l_r_prime }; + let predicate_chain_width = 3usize.max(length_width.saturating_sub(2)); + let condition_scratch = + circ.alloc_qreg_bits("q845.swap.zero-predicate", 3 + predicate_chain_width); + let zero_q = &condition_scratch[0]; + let zero_s = &condition_scratch[1]; + let control = &condition_scratch[2]; + let chain = &condition_scratch[3..]; + compute_zero(&mut circ, &l_q, zero_q, chain); + compute_zero(&mut circ, &l_s, zero_s, chain); + conditional_work_and_length_swap_under_zero_predicate( + &mut circ, + zero_q, + zero_s, + control, + &iteration, + &work1, + &work2, + &l_t, + &l_t_prime, + &l_q, + &l_s, + l_r_prime_view, + (1, work_width), + (1, work_width), + chain, + &[], + inverse, + PromisedLqSwapRoute::BorrowLq, + ); + uncompute_zero(&mut circ, &l_s, zero_s, chain); + uncompute_zero(&mut circ, &l_q, zero_q, chain); + free_clean(&mut circ, condition_scratch); + MixedLrPrimeHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask: 1u64 << iteration.id(), + omitted_high_mask: 1u64 << l_r_prime[length_width - 1].id(), + } +} + +/// Compare the eight-lane representation against an independent nine-lane +/// zero-high reference for signed decoding and forward/inverse metadata swaps. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_mixed_l_r_prime_check() -> MixedLrPrimeProofReport { + let _environment = RawBitLengthProofEnvironment::capture(); + configure_q847_lifetime_prerequisites(true); + let boundary_configurations = [(2usize, 2usize), (4, 3), (5, 4)]; + let swap_configurations = [(1usize, 2usize), (2, 2)]; + let mut boundary_basis_states_checked = 0usize; + let mut swap_basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_checks = 0usize; + let mut unsupported_control_on_states = 0usize; + let mut omitted_high_lane_clean_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for &(source_width, output_width) in &boundary_configurations { + let baseline = build_mixed_l_r_prime_boundary_harness(source_width, output_width, false, 1); + let candidate = build_mixed_l_r_prime_boundary_harness(source_width, output_width, true, 1); + let roundtrip = build_mixed_l_r_prime_boundary_harness(source_width, output_width, true, 2); + assert_eq!(baseline.data_ids, candidate.data_ids); + let (cases, phases, ancillas) = verify_q847_simulator_equivalence( + b"q845-mixed-lrp-boundary", + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + ); + simulator_equivalence_checks += cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & candidate.omitted_high_mask, 0); + assert_eq!(apply_scalar(&roundtrip.builder.ops, input), input); + if input & candidate.control_mask == 0 { + assert_eq!(candidate_output, input); + control_off_checks += 1; + } + boundary_basis_states_checked += 1; + scalar_equivalence_checks += 1; + omitted_high_lane_clean_checks += 1; + inverse_pair_checks += 1; + } + } + + for &(work_width, length_width) in &swap_configurations { + let mut candidate_directions = Vec::with_capacity(2); + let mut supported_directions = Vec::with_capacity(2); + for &inverse in &[false, true] { + let baseline = + build_mixed_l_r_prime_swap_harness(work_width, length_width, false, inverse); + let candidate = + build_mixed_l_r_prime_swap_harness(work_width, length_width, true, inverse); + assert_eq!(baseline.data_ids, candidate.data_ids); + let label = if inverse { + b"q845-mixed-lrp-swap-inverse".as_slice() + } else { + b"q845-mixed-lrp-swap-forward".as_slice() + }; + // The legacy nine-lane circuit is the independent support oracle: + // the mixed representation is valid exactly when its ninth output + // lane remains zero. States rejected this way must have fired the + // support-qualified control; every control-off state is retained. + let mut supported_values = Vec::new(); + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let control_on = (baseline_output ^ input) & baseline.control_mask != 0; + if baseline_output & baseline.omitted_high_mask != 0 { + assert!(control_on); + unsupported_control_on_states += 1; + continue; + } + supported_values.push(value); + } + let (cases, phases, ancillas) = verify_q847_selected_simulator_equivalence( + label, + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + &supported_values, + ); + simulator_equivalence_checks += cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + for &value in &supported_values { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & candidate.omitted_high_mask, 0); + if (candidate_output ^ input) & candidate.control_mask == 0 { + assert_eq!(candidate_output, input); + control_off_checks += 1; + } + swap_basis_states_checked += 1; + scalar_equivalence_checks += 1; + omitted_high_lane_clean_checks += 1; + } + candidate_directions.push(candidate); + supported_directions.push(supported_values); + } + for &value in &supported_directions[0] { + let input = q847_basis_input(&candidate_directions[0].data_ids, value); + let forward = apply_scalar(&candidate_directions[0].builder.ops, input); + assert_eq!( + apply_scalar(&candidate_directions[1].builder.ops, forward), + input + ); + inverse_pair_checks += 1; + } + } + + MixedLrPrimeProofReport { + boundary_configurations_checked: boundary_configurations.len(), + swap_configurations_checked: swap_configurations.len(), + directions_checked: 2, + boundary_basis_states_checked, + swap_basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_checks, + unsupported_control_on_states, + omitted_high_lane_clean_checks, + inverse_pair_checks, + phase_clean_checks, + ancilla_clean_checks, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum SplitRotationProofRoute { + Configured, + Continuous, + Split, +} + +struct SplitRotationProofHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + control_mask: u64, + lender_mask: u64, + trace: RawBitLengthAllocationTrace, +} + +fn build_split_rotation_proof_harness( + length_width: usize, + work_width: usize, + loaned: bool, + route: SplitRotationProofRoute, +) -> SplitRotationProofHarness { + assert!(length_width > 0); + assert!(work_width <= (1usize << length_width) - 1); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q847.rotation.control"); + let l_s = circ.alloc_qreg_bits("q847.rotation.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("q847.rotation.l-r-prime", length_width); + let work2 = circ.alloc_qreg_bits("q847.rotation.work2", work_width); + let output = circ.alloc_qreg_bits("q847.rotation.output", length_width); + let chain = circ.alloc_qreg_bits("q847.rotation.chain", 2); + let data_ids: Vec = std::iter::once(&control) + .chain(&l_s) + .chain(&l_r_prime) + .chain(&work2) + .chain(&output) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&control) + .chain(&l_s) + .chain(&l_r_prime) + .chain(&work2) + .chain(&output) + .chain(&chain), + ); + let control_mask = 1u64 << control.id(); + let lender_mask = qreg_mask(&chain); + + begin_raw_bit_length_allocation_trace(); + match route { + SplitRotationProofRoute::Configured => controlled_xor_raw_t_prime_bit_length( + &mut circ, &control, &l_s, &l_r_prime, &work2, &output, &chain, + ), + SplitRotationProofRoute::Continuous if loaned => { + controlled_xor_raw_t_prime_bit_length_loaned_with_lifetime( + &mut circ, + &control, + &l_s, + &l_r_prime, + &work2, + &output, + &chain, + RawTPrimeRotationLifetime::Continuous, + ) + } + SplitRotationProofRoute::Split if loaned => { + controlled_xor_raw_t_prime_bit_length_loaned_with_lifetime( + &mut circ, + &control, + &l_s, + &l_r_prime, + &work2, + &output, + &chain, + RawTPrimeRotationLifetime::Split, + ) + } + SplitRotationProofRoute::Continuous => { + controlled_xor_raw_t_prime_bit_length_allocated_with_lifetime( + &mut circ, + &control, + &l_s, + &l_r_prime, + &work2, + &output, + RawTPrimeRotationLifetime::Continuous, + ) + } + SplitRotationProofRoute::Split => { + controlled_xor_raw_t_prime_bit_length_allocated_with_lifetime( + &mut circ, + &control, + &l_s, + &l_r_prime, + &work2, + &output, + RawTPrimeRotationLifetime::Split, + ) + } + } + let trace = finish_raw_bit_length_allocation_trace(); + SplitRotationProofHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask, + lender_mask, + trace, + } +} + +/// Exhaustively prove that releasing and recomputing the physical rotation +/// around raw `t'` bit-length extraction preserves the reversible map. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_split_coefficient_rotation_lifetime_check( +) -> SplitCoefficientRotationLifetimeProofReport { + assert!( + std::env::var_os(SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG).is_none(), + "the split coefficient rotation lifetime must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + let configurations = [(1usize, 1usize), (2, 1), (2, 2), (2, 3)]; + let lender_modes = [false, true]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_checks = 0usize; + let mut lender_restore_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut split_release_checks = 0usize; + let mut split_recompute_checks = 0usize; + + for &loaned in &lender_modes { + configure_q847_lifetime_prerequisites(loaned); + for &(length_width, work_width) in &configurations { + let baseline = build_split_rotation_proof_harness( + length_width, + work_width, + loaned, + SplitRotationProofRoute::Continuous, + ); + std::env::set_var(SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG, "1"); + let candidate = build_split_rotation_proof_harness( + length_width, + work_width, + loaned, + SplitRotationProofRoute::Configured, + ); + assert_eq!(candidate.trace.raw_rotation_split_releases, 1); + assert_eq!(candidate.trace.raw_rotation_split_recomputes, 1); + assert_eq!(candidate.trace.raw_rotation_lanes_released, length_width); + split_release_checks += 1; + split_recompute_checks += 1; + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let (simulator_cases, phases, ancillas) = verify_q847_simulator_equivalence( + b"q847-split-coefficient-rotation", + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & !candidate.external_mask, 0); + assert_eq!(candidate_output & candidate.lender_mask, 0); + assert_eq!( + apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + if input & candidate.control_mask == 0 { + assert_eq!(candidate_output, input); + control_off_checks += 1; + } + lender_restore_checks += usize::from(loaned); + basis_states_checked += 1; + scalar_equivalence_checks += 1; + inverse_pair_checks += 1; + } + std::env::remove_var(SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG); + } + } + + for &loaned in &lender_modes { + configure_q847_lifetime_prerequisites(loaned); + let configured_default = + build_split_rotation_proof_harness(2, 3, loaned, SplitRotationProofRoute::Configured); + let direct_default = + build_split_rotation_proof_harness(2, 3, loaned, SplitRotationProofRoute::Continuous); + assert_q847_default_stream_identity(&configured_default.builder, &direct_default.builder); + } + + configure_q847_lifetime_prerequisites(true); + let baseline_local = q847_lifetime_local_resources( + &build_split_rotation_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + true, + SplitRotationProofRoute::Continuous, + ) + .builder, + ); + let candidate_local = q847_lifetime_local_resources( + &build_split_rotation_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + true, + SplitRotationProofRoute::Split, + ) + .builder, + ); + assert_eq!(baseline_local.active_qubits, candidate_local.active_qubits); + assert_eq!(baseline_local.peak_qubits - candidate_local.peak_qubits, 9); + assert_eq!( + candidate_local.emitted_toffoli - baseline_local.emitted_toffoli, + 36 + ); + assert_eq!( + candidate_local.emitted_ops - baseline_local.emitted_ops, + 135 + ); + let whole_point_add_invocations = 8 * REFERENCE_STEPS; + let whole_point_add_ops_delta = + whole_point_add_invocations * (candidate_local.emitted_ops - baseline_local.emitted_ops); + let whole_point_add_toffoli_delta = whole_point_add_invocations + * (candidate_local.emitted_toffoli - baseline_local.emitted_toffoli); + assert_eq!(whole_point_add_toffoli_delta, 425_952); + + SplitCoefficientRotationLifetimeProofReport { + configurations_checked: configurations.len() * lender_modes.len(), + lender_modes_checked: lender_modes.len(), + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_checks, + lender_restore_checks, + inverse_pair_checks, + phase_clean_checks, + ancilla_clean_checks, + default_stream_identity_checks: lender_modes.len(), + split_release_checks, + split_recompute_checks, + reference_rotation_lanes_released: REFERENCE_LENGTH_WIDTH, + whole_point_add_invocations, + whole_point_add_ops_delta: whole_point_add_ops_delta as i64, + whole_point_add_toffoli_delta: whole_point_add_toffoli_delta as i64, + baseline_local, + candidate_local, + local_qubit_delta: candidate_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_ops_delta: candidate_local.emitted_ops as i64 - baseline_local.emitted_ops as i64, + local_toffoli_delta: candidate_local.emitted_toffoli as i64 + - baseline_local.emitted_toffoli as i64, + } +} + +/// Proof-local copy of the pre-in-place less-than route from parent c562c6c7. +/// It deliberately materializes `l_t` so the differential proof does not send +/// both sides through the production in-place cursor implementation. +#[allow(clippy::too_many_arguments)] +fn legacy_toggle_coefficient_less_than_copied_cursor_for_proof( + circ: &mut Circuit, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + l_s: &[QReg], + target_length: &[QReg], + target: &QReg, + compare_scratch: &[&QReg], +) { + assert_coefficient_less_than_lane_reuse_preconditions( + control, + work1, + work2, + l_t, + l_s, + target_length, + target, + compare_scratch, + ); + let above_t = circ.alloc_qreg("proof.legacy-coeff-compare.above-t"); + toggle_coefficient_length_above_boundary( + circ, + target_length, + l_t, + l_s, + &above_t, + compare_scratch, + ); + record_coefficient_less_than_lifetime_boundary(circ, true); + + let cursor = circ.alloc_qreg_bits("proof.legacy-coeff-compare.cursor", l_t.len()); + for (source, destination) in l_t.iter().zip(&cursor) { + circ.cx(source, destination); + } + let cursor_scratch = circ.alloc_qreg_bits( + "proof.legacy-coeff-compare.cursor-scratch", + l_t.len().saturating_sub(1), + ); + decrement_mod_2n(circ, &cursor, &cursor_scratch); + let carry = compare_scratch[0]; + let active = compare_scratch[1]; + let tmp = compare_scratch[2]; + + for index in 0..work1.len() { + toggle_control_and_nonnegative(circ, control, &cursor, active); + circ.ccx(active, &work1[index], &work2[index]); + circ.ccx(active, carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + toggle_control_and_nonnegative(circ, control, &cursor, active); + if index + 1 != work1.len() { + decrement_mod_2n(circ, &cursor, &cursor_scratch); + } + } + + circ.x(&above_t); + circ.ccx(carry, &above_t, target); + circ.x(&above_t); + + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + increment_mod_2n(circ, &cursor, &cursor_scratch); + } + toggle_control_and_nonnegative(circ, control, &cursor, active); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, carry, &work1[index]); + circ.ccx(active, &work1[index], &work2[index]); + toggle_control_and_nonnegative(circ, control, &cursor, active); + } + increment_mod_2n(circ, &cursor, &cursor_scratch); + free_clean(circ, cursor_scratch); + for (source, destination) in l_t.iter().zip(&cursor) { + circ.cx(source, destination); + } + free_clean(circ, cursor); + + record_coefficient_less_than_lifetime_boundary(circ, false); + toggle_coefficient_length_above_boundary( + circ, + target_length, + l_t, + l_s, + &above_t, + compare_scratch, + ); + circ.zero_and_free(above_t); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum CoefficientLessThanProofRoute { + Configured, + Owned, + Borrowed, + LegacyCopiedBorrowed, +} + +struct CoefficientLessThanProofHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + control_mask: u64, + length_mask: u64, + target_mask: u64, + lender_mask: u64, + trace: CoefficientLessThanLifetimeTrace, +} + +fn build_coefficient_less_than_proof_harness( + length_width: usize, + work_width: usize, + route: CoefficientLessThanProofRoute, +) -> CoefficientLessThanProofHarness { + assert!(length_width > 0); + assert!(work_width > 0); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q847.less-than.control"); + let work1 = circ.alloc_qreg_bits("q847.less-than.work1", work_width); + let work2 = circ.alloc_qreg_bits("q847.less-than.work2", work_width); + let l_t = circ.alloc_qreg_bits("q847.less-than.l-t", length_width); + let l_s = circ.alloc_qreg_bits("q847.less-than.l-s", length_width); + let target_length = circ.alloc_qreg_bits("q847.less-than.target-length", length_width); + let target = circ.alloc_qreg("q847.less-than.target"); + let chain = circ.alloc_qreg_bits("q847.less-than.chain", 2); + let add_only = circ.alloc_qreg("q847.less-than.add-only"); + let compare_scratch = vec![&chain[0], &chain[1], &add_only]; + let data_ids: Vec = std::iter::once(&control) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_s) + .chain(&target_length) + .chain(std::iter::once(&target)) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&control) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_s) + .chain(&target_length) + .chain(std::iter::once(&target)) + .chain(&chain) + .chain(std::iter::once(&add_only)), + ); + let control_mask = 1u64 << control.id(); + let length_mask = qreg_mask(&l_t); + let target_mask = qreg_mask(std::iter::once(&target)); + let lender_mask = qreg_mask(&chain) | qreg_mask(std::iter::once(&add_only)); + + begin_coefficient_less_than_lifetime_trace(); + match route { + CoefficientLessThanProofRoute::Configured => toggle_coefficient_less_than( + &mut circ, + &control, + &work1, + &work2, + &l_t, + &l_s, + &target_length, + &target, + &compare_scratch, + ), + CoefficientLessThanProofRoute::Owned => toggle_coefficient_less_than_with_lane_route( + &mut circ, + &control, + &work1, + &work2, + &l_t, + &l_s, + &target_length, + &target, + &compare_scratch, + false, + ), + CoefficientLessThanProofRoute::Borrowed => toggle_coefficient_less_than_with_lane_route( + &mut circ, + &control, + &work1, + &work2, + &l_t, + &l_s, + &target_length, + &target, + &compare_scratch, + true, + ), + CoefficientLessThanProofRoute::LegacyCopiedBorrowed => { + legacy_toggle_coefficient_less_than_copied_cursor_for_proof( + &mut circ, + &control, + &work1, + &work2, + &l_t, + &l_s, + &target_length, + &target, + &compare_scratch, + ) + } + } + let trace = finish_coefficient_less_than_lifetime_trace(); + drop(compare_scratch); + CoefficientLessThanProofHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask, + length_mask, + target_mask, + lender_mask, + trace, + } +} + +fn coefficient_less_than_lane_alias_rejections() -> usize { + use std::panic::{catch_unwind, AssertUnwindSafe}; + + fn build_rejection(kind: usize) { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q847.alias.control"); + let work1 = circ.alloc_qreg_bits("q847.alias.work1", 1); + let work2 = circ.alloc_qreg_bits("q847.alias.work2", 1); + let l_t = circ.alloc_qreg_bits("q847.alias.l-t", 2); + let l_s = circ.alloc_qreg_bits("q847.alias.l-s", 2); + let target_length = circ.alloc_qreg_bits("q847.alias.target-length", 2); + let target = circ.alloc_qreg("q847.alias.target"); + let lenders = circ.alloc_qreg_bits("q847.alias.lenders", 3); + let scratch: Vec<&QReg> = match kind { + 0 => vec![&lenders[0], &lenders[1]], + 1 => vec![&lenders[0], &lenders[0], &lenders[2]], + 2 => vec![&control, &lenders[1], &lenders[2]], + 3 => vec![&work1[0], &lenders[1], &lenders[2]], + 4 => vec![&work2[0], &lenders[1], &lenders[2]], + 5 => vec![&l_t[0], &lenders[1], &lenders[2]], + 6 => vec![&l_s[0], &lenders[1], &lenders[2]], + 7 => vec![&target_length[0], &lenders[1], &lenders[2]], + 8 => vec![&target, &lenders[1], &lenders[2]], + _ => unreachable!(), + }; + toggle_coefficient_less_than_with_lane_route( + &mut circ, + &control, + &work1, + &work2, + &l_t, + &l_s, + &target_length, + &target, + &scratch, + true, + ); + } + + let previous_hook = std::panic::take_hook(); + std::panic::set_hook(Box::new(|_| {})); + let mut rejected = 0usize; + for kind in 0..9 { + let result = catch_unwind(AssertUnwindSafe(|| build_rejection(kind))); + assert!( + result.is_err(), + "coefficient less-than alias rejection {kind} unexpectedly passed" + ); + rejected += 1; + } + std::panic::set_hook(previous_hook); + rejected +} + +/// Exhaustively verify the sequential alias of `(chain[0], chain[1], +/// add_only)` from the restored boundary comparator into the less-than carry +/// loop, including both cut points and explicit disjointness failures. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_coefficient_less_than_lane_reuse_check() -> CoefficientLessThanLaneReuseProofReport +{ + assert!( + std::env::var_os(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG).is_none(), + "the coefficient less-than lane reuse must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_q847_lifetime_prerequisites(true); + let configurations = [(1usize, 1usize), (2, 1), (2, 2), (2, 3)]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_checks = 0usize; + let mut boundary_restore_checks = 0usize; + let mut lender_restore_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for &(length_width, work_width) in &configurations { + std::env::remove_var(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG); + let baseline = build_coefficient_less_than_proof_harness( + length_width, + work_width, + CoefficientLessThanProofRoute::Owned, + ); + std::env::set_var(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG, "1"); + let candidate = build_coefficient_less_than_proof_harness( + length_width, + work_width, + CoefficientLessThanProofRoute::Configured, + ); + assert!(candidate.trace.after_first_boundary > 0); + assert!(candidate.trace.before_second_boundary > candidate.trace.after_first_boundary); + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + let (simulator_cases, phases, ancillas) = verify_q847_simulator_equivalence( + b"q847-coefficient-less-than-lanes", + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let after_boundary = apply_scalar( + &candidate.builder.ops[..candidate.trace.after_first_boundary], + input, + ); + let before_second_boundary = apply_scalar( + &candidate.builder.ops[..candidate.trace.before_second_boundary], + input, + ); + assert_eq!(after_boundary & candidate.lender_mask, 0); + assert_eq!(before_second_boundary & candidate.lender_mask, 0); + assert_eq!( + after_boundary & candidate.length_mask, + input & candidate.length_mask + ); + assert_eq!( + before_second_boundary & candidate.length_mask, + input & candidate.length_mask + ); + boundary_restore_checks += 2; + + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & !candidate.external_mask, 0); + assert_eq!(candidate_output & candidate.lender_mask, 0); + assert_eq!((candidate_output ^ input) & !candidate.target_mask, 0); + assert_eq!( + apply_scalar(&candidate.builder.ops, candidate_output), + input + ); + if input & candidate.control_mask == 0 { + assert_eq!(candidate_output, input); + control_off_checks += 1; + } + basis_states_checked += 1; + scalar_equivalence_checks += 1; + lender_restore_checks += 1; + inverse_pair_checks += 1; + } + std::env::remove_var(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG); + } + + let configured_default = + build_coefficient_less_than_proof_harness(2, 3, CoefficientLessThanProofRoute::Configured); + let direct_default = + build_coefficient_less_than_proof_harness(2, 3, CoefficientLessThanProofRoute::Owned); + assert_q847_default_stream_identity(&configured_default.builder, &direct_default.builder); + let alias_rejections = coefficient_less_than_lane_alias_rejections(); + + let baseline_local = q847_lifetime_local_resources( + &build_coefficient_less_than_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + CoefficientLessThanProofRoute::Owned, + ) + .builder, + ); + let candidate_local = q847_lifetime_local_resources( + &build_coefficient_less_than_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + CoefficientLessThanProofRoute::Borrowed, + ) + .builder, + ); + assert_eq!(baseline_local.active_qubits, candidate_local.active_qubits); + assert_eq!(baseline_local.peak_qubits - candidate_local.peak_qubits, 1); + assert_eq!(baseline_local.emitted_ops - candidate_local.emitted_ops, 3); + assert_eq!( + baseline_local.emitted_toffoli, + candidate_local.emitted_toffoli + ); + let whole_point_add_invocations = 8 * REFERENCE_STEPS; + + CoefficientLessThanLaneReuseProofReport { + configurations_checked: configurations.len(), + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_checks, + boundary_restore_checks, + lender_restore_checks, + inverse_pair_checks, + phase_clean_checks, + ancilla_clean_checks, + default_stream_identity_checks: 1, + alias_rejections, + caller_lanes_reused: 3, + reset_ops_removed_per_invocation: 3, + whole_point_add_invocations, + whole_point_add_ops_delta: -((whole_point_add_invocations * 3) as i64), + baseline_local, + candidate_local, + local_qubit_delta: candidate_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_ops_delta: candidate_local.emitted_ops as i64 - baseline_local.emitted_ops as i64, + local_toffoli_delta: candidate_local.emitted_toffoli as i64 + - baseline_local.emitted_toffoli as i64, + } +} + +/// Proof-local copy of the pre-in-place coefficient-add route from parent +/// c562c6c7. The copied cursor is retained solely as an independent baseline. +#[allow(clippy::too_many_arguments)] +fn legacy_coefficient_add_data_only_copied_cursor_for_proof( + circ: &mut Circuit, + control: &QReg, + work1: &[QReg], + work2: &[QReg], + l_t: &[QReg], + inverse: bool, + lenders: &[&QReg], +) { + assert_clean_chain_coefficient_add_lender_preconditions(control, work1, work2, l_t, lenders); + record_coefficient_add_lender_entry(circ, lenders); + let cursor = circ.alloc_qreg_bits("proof.legacy-coeff-add.cursor", l_t.len()); + for (source, destination) in l_t.iter().zip(&cursor) { + circ.cx(source, destination); + } + let cursor_scratch = circ.alloc_qreg_bits( + "proof.legacy-coeff-add.cursor-scratch", + l_t.len().saturating_sub(1), + ); + let carry = circ.alloc_qreg("proof.legacy-coeff-add.carry"); + let active = lenders[0]; + let tmp = lenders[1]; + + if inverse { + for index in 0..work1.len() { + if index != 0 { + decrement_mod_2n(circ, &cursor, &cursor_scratch); + } + toggle_control_and_nonnegative(circ, control, &cursor, active); + circ.ccx(active, &work1[index], &work2[index]); + circ.ccx(active, &carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + toggle_control_and_nonnegative(circ, control, &cursor, active); + } + for index in (0..work1.len()).rev() { + if index + 1 != work1.len() { + increment_mod_2n(circ, &cursor, &cursor_scratch); + } + toggle_control_and_nonnegative(circ, control, &cursor, active); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, &carry, &work1[index]); + circ.ccx(active, &carry, &work2[index]); + toggle_control_and_nonnegative(circ, control, &cursor, active); + } + } else { + for index in 0..work1.len() { + toggle_control_and_nonnegative(circ, control, &cursor, active); + circ.ccx(active, &carry, &work2[index]); + circ.ccx(active, &carry, &work1[index]); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + toggle_control_and_nonnegative(circ, control, &cursor, active); + if index + 1 != work1.len() { + decrement_mod_2n(circ, &cursor, &cursor_scratch); + } + } + for index in (0..work1.len()).rev() { + toggle_control_and_nonnegative(circ, control, &cursor, active); + multi_controlled_x_vchain( + circ, + &[active, &work1[index], &work2[index]], + &carry, + std::slice::from_ref(tmp), + ); + circ.ccx(active, &carry, &work1[index]); + circ.ccx(active, &work1[index], &work2[index]); + toggle_control_and_nonnegative(circ, control, &cursor, active); + if index != 0 { + increment_mod_2n(circ, &cursor, &cursor_scratch); + } + } + } + + record_coefficient_add_lender_restore(circ); + circ.zero_and_free(carry); + free_clean(circ, cursor_scratch); + for (source, destination) in l_t.iter().zip(&cursor) { + circ.cx(source, destination); + } + free_clean(circ, cursor); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum CoefficientAddLenderProofRoute { + Configured, + Owned, + Borrowed, + LegacyCopiedBorrowed, +} + +struct CoefficientAddLenderProofHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + control_mask: u64, + length_mask: u64, + lender_mask: u64, + trace: CoefficientAddLenderTrace, +} + +fn build_coefficient_add_lender_proof_harness( + length_width: usize, + work_width: usize, + inverse: bool, + route: CoefficientAddLenderProofRoute, +) -> CoefficientAddLenderProofHarness { + assert!(length_width > 0); + assert!(work_width > 0); + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q847.coeff-add.control"); + let work1 = circ.alloc_qreg_bits("q847.coeff-add.work1", work_width); + let work2 = circ.alloc_qreg_bits("q847.coeff-add.work2", work_width); + let l_t = circ.alloc_qreg_bits("q847.coeff-add.l-t", length_width); + let lenders = circ.alloc_qreg_bits("q847.coeff-add.clean-chain", 2); + let lender_refs = [&lenders[0], &lenders[1]]; + let data_ids: Vec = std::iter::once(&control) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + std::iter::once(&control) + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&lenders), + ); + let control_mask = 1u64 << control.id(); + let length_mask = qreg_mask(&l_t); + let lender_mask = qreg_mask(&lenders); + + begin_coefficient_add_lender_trace(); + match route { + CoefficientAddLenderProofRoute::Configured => coefficient_add_data_only( + &mut circ, + &control, + &work1, + &work2, + &l_t, + inverse, + &lender_refs, + ), + CoefficientAddLenderProofRoute::Owned => coefficient_add_data_only_with_lane_route( + &mut circ, + &control, + &work1, + &work2, + &l_t, + inverse, + &lender_refs, + false, + ), + CoefficientAddLenderProofRoute::Borrowed => coefficient_add_data_only_with_lane_route( + &mut circ, + &control, + &work1, + &work2, + &l_t, + inverse, + &lender_refs, + true, + ), + CoefficientAddLenderProofRoute::LegacyCopiedBorrowed => { + legacy_coefficient_add_data_only_copied_cursor_for_proof( + &mut circ, + &control, + &work1, + &work2, + &l_t, + inverse, + &lender_refs, + ) + } + } + let trace = finish_coefficient_add_lender_trace(); + + CoefficientAddLenderProofHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + control_mask, + length_mask, + lender_mask, + trace, + } +} + +fn clean_chain_coefficient_add_distinctness_rejections() -> usize { + use std::panic::{catch_unwind, AssertUnwindSafe}; + + fn build_rejection(kind: usize) { + let mut circ = Circuit::new(); + let control = circ.alloc_qreg("q847.coeff-add-alias.control"); + let work1 = circ.alloc_qreg_bits("q847.coeff-add-alias.work1", 1); + let work2 = circ.alloc_qreg_bits("q847.coeff-add-alias.work2", 1); + let l_t = circ.alloc_qreg_bits("q847.coeff-add-alias.l-t", 2); + let lenders = circ.alloc_qreg_bits("q847.coeff-add-alias.lenders", 3); + let scratch: Vec<&QReg> = match kind { + 0 => vec![&lenders[0]], + 1 => vec![&lenders[0], &lenders[0]], + 2 => vec![&control, &lenders[1]], + 3 => vec![&work1[0], &lenders[1]], + 4 => vec![&work2[0], &lenders[1]], + 5 => vec![&l_t[0], &lenders[1]], + 6 => vec![&lenders[0], &lenders[1], &lenders[2]], + _ => unreachable!(), + }; + coefficient_add_data_only_with_lane_route( + &mut circ, &control, &work1, &work2, &l_t, false, &scratch, true, + ); + } + + let previous_hook = std::panic::take_hook(); + std::panic::set_hook(Box::new(|_| {})); + let mut rejected = 0usize; + for kind in 0..7 { + let result = catch_unwind(AssertUnwindSafe(|| build_rejection(kind))); + assert!( + result.is_err(), + "clean-chain coefficient-add rejection {kind} unexpectedly passed" + ); + rejected += 1; + } + std::panic::set_hook(previous_hook); + rejected +} + +struct CoefficientPhaseBlockProofHarness { + builder: B, + data_ids: Vec, + external_mask: u64, + length_mask: u64, + trace: CoefficientAddLenderTrace, +} + +fn build_coefficient_phase_block_lender_proof_harness( + length_width: usize, + work_width: usize, + inverse: bool, +) -> CoefficientPhaseBlockProofHarness { + assert!(length_width > 0); + assert!(work_width > 0); + let mut circ = Circuit::new(); + let phase1 = circ.alloc_qreg("q847.coeff-block.phase1"); + let phase2 = circ.alloc_qreg("q847.coeff-block.phase2"); + let sign = circ.alloc_qreg("q847.coeff-block.sign"); + let work1 = circ.alloc_qreg_bits("q847.coeff-block.work1", work_width); + let work2 = circ.alloc_qreg_bits("q847.coeff-block.work2", work_width); + let l_t = circ.alloc_qreg_bits("q847.coeff-block.l-t", length_width); + let l_t_prime = circ.alloc_qreg_bits("q847.coeff-block.l-t-prime", length_width); + let l_s = circ.alloc_qreg_bits("q847.coeff-block.l-s", length_width); + let l_r_prime = circ.alloc_qreg_bits("q847.coeff-block.l-r-prime", length_width); + let data_ids: Vec = [&phase1, &phase2, &sign] + .into_iter() + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_t_prime) + .chain(&l_s) + .chain(&l_r_prime) + .map(QReg::id) + .collect(); + let external_mask = qreg_mask( + [&phase1, &phase2, &sign] + .into_iter() + .chain(&work1) + .chain(&work2) + .chain(&l_t) + .chain(&l_t_prime) + .chain(&l_s) + .chain(&l_r_prime), + ); + let length_mask = qreg_mask(&l_t); + + begin_coefficient_add_lender_trace(); + coefficient_phase_block( + &mut circ, &phase1, &phase2, &sign, &work1, &work2, &work2, &l_t, &l_t_prime, &l_s, + &l_r_prime, inverse, + ); + let trace = finish_coefficient_add_lender_trace(); + + CoefficientPhaseBlockProofHarness { + builder: circ.into_builder(), + data_ids, + external_mask, + length_mask, + trace, + } +} + +fn configure_q849_lifetime_cuts_for_proof() { + configure_q847_lifetime_prerequisites(true); + std::env::set_var(PROMISED_LQ_SWAP_BORROW_FLAG, "1"); + std::env::set_var(SPLIT_COEFFICIENT_ROTATION_LIFETIME_FLAG, "1"); + std::env::set_var(COEFFICIENT_LESS_THAN_LANE_REUSE_FLAG, "1"); +} + +/// Exhaustively prove the default-off clean-chain lender route for the +/// coefficient data update and its reduced-width `coefficient_phase_block` +/// composition. Phase checks cover the exact lender entry/restore window; the +/// pre-existing reset stream outside that window is compared for data and +/// ancilla equivalence but is not promoted into a trusted phase claim. No +/// source-baked route is exercised by this proof. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_clean_chain_coefficient_add_lender_check( +) -> CleanChainCoefficientAddLenderProofReport { + assert!( + std::env::var_os(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG).is_none(), + "the clean-chain coefficient-add lender must default off" + ); + let _environment = RawBitLengthProofEnvironment::capture(); + configure_q847_lifetime_prerequisites(true); + let configurations = [(1usize, 1usize), (2, 1), (2, 2), (2, 3), (3, 4)]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_identity_checks = 0usize; + let mut length_preservation_checks = 0usize; + let mut lender_clean_entry_checks = 0usize; + let mut lender_restore_checks = 0usize; + let mut roundtrip_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + + for &(length_width, work_width) in &configurations { + std::env::remove_var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG); + let baseline_forward = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + false, + CoefficientAddLenderProofRoute::Owned, + ); + let baseline_inverse = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + true, + CoefficientAddLenderProofRoute::Owned, + ); + std::env::set_var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG, "1"); + let candidate_forward = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + false, + CoefficientAddLenderProofRoute::Configured, + ); + let candidate_inverse = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + true, + CoefficientAddLenderProofRoute::Configured, + ); + + for (inverse, baseline, candidate, opposite) in [ + ( + false, + &baseline_forward, + &candidate_forward, + &candidate_inverse, + ), + ( + true, + &baseline_inverse, + &candidate_inverse, + &candidate_forward, + ), + ] { + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert_eq!(candidate.trace.calls, 1); + assert_eq!(candidate.trace.lender_mask, candidate.lender_mask); + assert!(candidate.trace.restore_ops_idx > candidate.trace.entry_ops_idx); + let label: &[u8] = if inverse { + b"q847-clean-chain-coefficient-add-inverse" + } else { + b"q847-clean-chain-coefficient-add-forward" + }; + let (simulator_cases, ancillas) = verify_q847_simulator_data_and_ancilla_equivalence( + label, + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += verify_coefficient_add_lender_window_phase_clean( + label, + &candidate.builder, + &candidate.data_ids, + candidate.trace, + ); + ancilla_clean_checks += ancillas; + + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let at_entry = apply_scalar( + &candidate.builder.ops[..candidate.trace.entry_ops_idx], + input, + ); + let at_restore = apply_scalar( + &candidate.builder.ops[..candidate.trace.restore_ops_idx], + input, + ); + assert_eq!(at_entry & candidate.lender_mask, 0); + assert_eq!(at_restore & candidate.lender_mask, 0); + assert_eq!( + at_entry & candidate.length_mask, + input & candidate.length_mask + ); + assert_eq!( + at_restore & candidate.length_mask, + input & candidate.length_mask + ); + + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & !candidate.external_mask, 0); + assert_eq!( + candidate_output & candidate.length_mask, + input & candidate.length_mask + ); + assert_eq!(candidate_output & candidate.lender_mask, 0); + assert_eq!(apply_scalar(&opposite.builder.ops, candidate_output), input); + if input & candidate.control_mask == 0 { + assert_eq!(candidate_output, input); + control_off_identity_checks += 1; + } + + basis_states_checked += 1; + scalar_equivalence_checks += 1; + length_preservation_checks += 1; + lender_clean_entry_checks += 1; + lender_restore_checks += 1; + roundtrip_checks += 1; + } + } + } + + std::env::remove_var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG); + let mut default_stream_identity_checks = 0usize; + for inverse in [false, true] { + let configured = build_coefficient_add_lender_proof_harness( + 2, + 3, + inverse, + CoefficientAddLenderProofRoute::Configured, + ); + let direct = build_coefficient_add_lender_proof_harness( + 2, + 3, + inverse, + CoefficientAddLenderProofRoute::Owned, + ); + assert_q847_default_stream_identity(&configured.builder, &direct.builder); + default_stream_identity_checks += 1; + } + let distinctness_rejections = clean_chain_coefficient_add_distinctness_rejections(); + + configure_q849_lifetime_cuts_for_proof(); + let composition_length_width = 1usize; + let composition_work_width = 1usize; + std::env::remove_var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG); + let composition_baseline_forward = build_coefficient_phase_block_lender_proof_harness( + composition_length_width, + composition_work_width, + false, + ); + let composition_baseline_inverse = build_coefficient_phase_block_lender_proof_harness( + composition_length_width, + composition_work_width, + true, + ); + std::env::set_var(CLEAN_CHAIN_COEFFICIENT_ADD_LENDER_FLAG, "1"); + let composition_candidate_forward = build_coefficient_phase_block_lender_proof_harness( + composition_length_width, + composition_work_width, + false, + ); + let composition_candidate_inverse = build_coefficient_phase_block_lender_proof_harness( + composition_length_width, + composition_work_width, + true, + ); + let mut composition_basis_states_checked = 0usize; + let mut composition_equivalence_checks = 0usize; + let mut composition_lender_clean_entry_checks = 0usize; + let mut composition_lender_restore_checks = 0usize; + let mut composition_phase_clean_checks = 0usize; + let mut composition_ancilla_clean_checks = 0usize; + for (inverse, baseline, candidate) in [ + ( + false, + &composition_baseline_forward, + &composition_candidate_forward, + ), + ( + true, + &composition_baseline_inverse, + &composition_candidate_inverse, + ), + ] { + assert_eq!(baseline.data_ids, candidate.data_ids); + assert_eq!(baseline.external_mask, candidate.external_mask); + assert_eq!(candidate.trace.calls, 1); + assert!(candidate.trace.restore_ops_idx > candidate.trace.entry_ops_idx); + let label: &[u8] = if inverse { + b"q847-clean-chain-coefficient-block-inverse" + } else { + b"q847-clean-chain-coefficient-block-forward" + }; + let (simulator_cases, ancillas) = verify_q847_simulator_data_and_ancilla_equivalence( + label, + &baseline.builder, + &candidate.builder, + &baseline.data_ids, + baseline.external_mask, + ); + assert_eq!(simulator_cases, 1usize << baseline.data_ids.len()); + composition_phase_clean_checks += verify_coefficient_add_lender_window_phase_clean( + label, + &candidate.builder, + &candidate.data_ids, + candidate.trace, + ); + composition_ancilla_clean_checks += ancillas; + + for value in 0..(1usize << baseline.data_ids.len()) { + let input = q847_basis_input(&baseline.data_ids, value); + let at_entry = apply_scalar( + &candidate.builder.ops[..candidate.trace.entry_ops_idx], + input, + ); + let at_restore = apply_scalar( + &candidate.builder.ops[..candidate.trace.restore_ops_idx], + input, + ); + assert_eq!(at_entry & candidate.trace.lender_mask, 0); + assert_eq!(at_restore & candidate.trace.lender_mask, 0); + let baseline_output = apply_scalar(&baseline.builder.ops, input); + let candidate_output = apply_scalar(&candidate.builder.ops, input); + assert_eq!(candidate_output, baseline_output); + assert_eq!(candidate_output & !candidate.external_mask, 0); + assert_eq!( + at_entry & candidate.length_mask, + input & candidate.length_mask + ); + assert_eq!( + at_restore & candidate.length_mask, + input & candidate.length_mask + ); + + composition_basis_states_checked += 1; + composition_equivalence_checks += 1; + composition_lender_clean_entry_checks += 1; + composition_lender_restore_checks += 1; + } + } + + configure_q847_lifetime_prerequisites(true); + let baseline_local = q847_lifetime_local_resources( + &build_coefficient_add_lender_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + false, + CoefficientAddLenderProofRoute::Owned, + ) + .builder, + ); + let candidate_local = q847_lifetime_local_resources( + &build_coefficient_add_lender_proof_harness( + REFERENCE_LENGTH_WIDTH, + 259, + false, + CoefficientAddLenderProofRoute::Borrowed, + ) + .builder, + ); + assert_eq!(baseline_local.active_qubits, candidate_local.active_qubits); + assert_eq!( + baseline_local.emitted_toffoli, + candidate_local.emitted_toffoli + ); + let whole_point_add_invocations = 4 * REFERENCE_STEPS; + let local_ops_delta = candidate_local.emitted_ops as i64 - baseline_local.emitted_ops as i64; + + CleanChainCoefficientAddLenderProofReport { + configurations_checked: configurations.len(), + directions_checked: 2, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_identity_checks, + length_preservation_checks, + lender_clean_entry_checks, + lender_restore_checks, + roundtrip_checks, + lender_window_phase_clean_checks: phase_clean_checks, + ancilla_clean_checks, + default_stream_identity_checks, + distinctness_rejections, + composition_basis_states_checked, + composition_equivalence_checks, + composition_lender_clean_entry_checks, + composition_lender_restore_checks, + composition_lender_window_phase_clean_checks: composition_phase_clean_checks, + composition_ancilla_clean_checks, + caller_lanes_reused: 2, + reset_ops_removed_per_invocation: baseline_local.emitted_ops - candidate_local.emitted_ops, + whole_point_add_invocations, + whole_point_add_ops_delta: whole_point_add_invocations as i64 * local_ops_delta, + baseline_local, + candidate_local, + local_qubit_delta: candidate_local.peak_qubits as i64 - baseline_local.peak_qubits as i64, + local_ops_delta, + local_toffoli_delta: candidate_local.emitted_toffoli as i64 + - baseline_local.emitted_toffoli as i64, + } +} + +fn assert_legacy_copied_cursor_stream_delta(legacy: &B, in_place: &B, width: usize) { + use crate::circuit::OperationType; + + assert_eq!(legacy.counted_ops, legacy.ops.len()); + assert_eq!(in_place.counted_ops, in_place.ops.len()); + assert_eq!(legacy.counted_ops - in_place.counted_ops, 3 * width); + for kind in 0..legacy.counted_kind_ops.len() { + let expected = if kind == OperationType::CX as usize { + 2 * width + } else if kind == OperationType::R as usize { + width + } else { + 0 + }; + assert_eq!( + legacy.counted_kind_ops[kind] - in_place.counted_kind_ops[kind], + expected, + "legacy copied-cursor operation delta drift for kind {kind}" + ); + } +} + +/// Exhaustively compare the production in-place `l_t` cursor routes against +/// proof-local copies of the parent c562c6c7 materialized-cursor schedules. +/// Both directions, all reduced-width basis states, phase, ancillas, control +/// off, length restoration, and inverse pairing are checked independently of +/// the route-to-route lender proofs. +#[doc(hidden)] +#[must_use] +pub fn exhaustive_inplace_lt_cursor_legacy_differential_check( +) -> InPlaceLtCursorLegacyDifferentialProofReport { + let _environment = RawBitLengthProofEnvironment::capture(); + configure_q847_lifetime_prerequisites(true); + let less_than_configurations = [(1usize, 1usize), (2, 1), (2, 2), (2, 3)]; + let coefficient_add_configurations = [(1usize, 1usize), (2, 1), (2, 2), (2, 3), (3, 4)]; + let mut basis_states_checked = 0usize; + let mut scalar_equivalence_checks = 0usize; + let mut simulator_equivalence_checks = 0usize; + let mut control_off_checks = 0usize; + let mut length_restore_checks = 0usize; + let mut inverse_pair_checks = 0usize; + let mut phase_clean_checks = 0usize; + let mut ancilla_clean_checks = 0usize; + let mut legacy_streams_checked = 0usize; + let mut copied_cursor_lanes_removed = 0usize; + + for &(length_width, work_width) in &less_than_configurations { + let legacy = build_coefficient_less_than_proof_harness( + length_width, + work_width, + CoefficientLessThanProofRoute::LegacyCopiedBorrowed, + ); + let in_place = build_coefficient_less_than_proof_harness( + length_width, + work_width, + CoefficientLessThanProofRoute::Borrowed, + ); + assert_eq!(legacy.data_ids, in_place.data_ids); + assert_eq!(legacy.external_mask, in_place.external_mask); + assert_legacy_copied_cursor_stream_delta(&legacy.builder, &in_place.builder, length_width); + legacy_streams_checked += 1; + copied_cursor_lanes_removed += length_width; + + let (simulator_cases, phases, ancillas) = verify_q847_simulator_equivalence( + b"q847-inplace-lt-cursor-legacy-less-than", + &legacy.builder, + &in_place.builder, + &legacy.data_ids, + legacy.external_mask, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + + for value in 0..(1usize << legacy.data_ids.len()) { + let input = q847_basis_input(&legacy.data_ids, value); + let legacy_output = apply_scalar(&legacy.builder.ops, input); + let in_place_output = apply_scalar(&in_place.builder.ops, input); + assert_eq!(in_place_output, legacy_output); + assert_eq!(legacy_output & !legacy.external_mask, 0); + assert_eq!(in_place_output & !in_place.external_mask, 0); + assert_eq!( + legacy_output & legacy.length_mask, + input & legacy.length_mask + ); + assert_eq!( + in_place_output & in_place.length_mask, + input & in_place.length_mask + ); + assert_eq!((in_place_output ^ input) & !in_place.target_mask, 0); + assert_eq!(apply_scalar(&legacy.builder.ops, legacy_output), input); + assert_eq!(apply_scalar(&in_place.builder.ops, in_place_output), input); + if input & in_place.control_mask == 0 { + assert_eq!(legacy_output, input); + assert_eq!(in_place_output, input); + control_off_checks += 1; + } + basis_states_checked += 1; + scalar_equivalence_checks += 1; + length_restore_checks += 1; + inverse_pair_checks += 2; + } + } + + for &(length_width, work_width) in &coefficient_add_configurations { + let legacy_forward = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + false, + CoefficientAddLenderProofRoute::LegacyCopiedBorrowed, + ); + let legacy_inverse = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + true, + CoefficientAddLenderProofRoute::LegacyCopiedBorrowed, + ); + let in_place_forward = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + false, + CoefficientAddLenderProofRoute::Borrowed, + ); + let in_place_inverse = build_coefficient_add_lender_proof_harness( + length_width, + work_width, + true, + CoefficientAddLenderProofRoute::Borrowed, + ); + + for (inverse, legacy, in_place, legacy_opposite, in_place_opposite) in [ + ( + false, + &legacy_forward, + &in_place_forward, + &legacy_inverse, + &in_place_inverse, + ), + ( + true, + &legacy_inverse, + &in_place_inverse, + &legacy_forward, + &in_place_forward, + ), + ] { + assert_eq!(legacy.data_ids, in_place.data_ids); + assert_eq!(legacy.external_mask, in_place.external_mask); + assert_legacy_copied_cursor_stream_delta( + &legacy.builder, + &in_place.builder, + length_width, + ); + legacy_streams_checked += 1; + copied_cursor_lanes_removed += length_width; + let label: &[u8] = if inverse { + b"q847-inplace-lt-cursor-legacy-add-inverse" + } else { + b"q847-inplace-lt-cursor-legacy-add-forward" + }; + let (simulator_cases, phases, ancillas) = verify_q847_simulator_equivalence( + label, + &legacy.builder, + &in_place.builder, + &legacy.data_ids, + legacy.external_mask, + ); + simulator_equivalence_checks += simulator_cases; + phase_clean_checks += phases; + ancilla_clean_checks += ancillas; + + for value in 0..(1usize << legacy.data_ids.len()) { + let input = q847_basis_input(&legacy.data_ids, value); + let legacy_output = apply_scalar(&legacy.builder.ops, input); + let in_place_output = apply_scalar(&in_place.builder.ops, input); + assert_eq!(in_place_output, legacy_output); + assert_eq!(legacy_output & !legacy.external_mask, 0); + assert_eq!(in_place_output & !in_place.external_mask, 0); + assert_eq!( + legacy_output & legacy.length_mask, + input & legacy.length_mask + ); + assert_eq!( + in_place_output & in_place.length_mask, + input & in_place.length_mask + ); + assert_eq!( + apply_scalar(&legacy_opposite.builder.ops, legacy_output), + input + ); + assert_eq!( + apply_scalar(&in_place_opposite.builder.ops, in_place_output), + input + ); + if input & in_place.control_mask == 0 { + assert_eq!(legacy_output, input); + assert_eq!(in_place_output, input); + control_off_checks += 1; + } + basis_states_checked += 1; + scalar_equivalence_checks += 1; + length_restore_checks += 1; + inverse_pair_checks += 2; + } + } + } + + assert_eq!(legacy_streams_checked, 14); + assert_eq!(copied_cursor_lanes_removed, 27); + InPlaceLtCursorLegacyDifferentialProofReport { + less_than_configurations_checked: less_than_configurations.len(), + coefficient_add_configurations_checked: coefficient_add_configurations.len(), + coefficient_add_directions_checked: 2, + basis_states_checked, + scalar_equivalence_checks, + simulator_equivalence_checks, + control_off_checks, + length_restore_checks, + inverse_pair_checks, + phase_clean_checks, + ancilla_clean_checks, + legacy_streams_checked, + copied_cursor_lanes_removed, + local_ops_removed: 3 * copied_cursor_lanes_removed, + local_cx_removed: 2 * copied_cursor_lanes_removed, + local_resets_removed: copied_cursor_lanes_removed, + } +} diff --git a/src/point_add/trailmix_port/inversion/shrunken_pz_primitives.rs b/src/point_add/trailmix_port/inversion/shrunken_pz_primitives.rs new file mode 100644 index 00000000..52913048 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/shrunken_pz_primitives.rs @@ -0,0 +1,766 @@ +//! Reversible UNPACKED PZ modular inversion. Separate registers A,B,|a|,|b| (no +//! cursor), reversible via the PZ cofactor ratio (no spooky pebbling). The whole +//! thing is built from ONE primitive -- restoring long division -- used forward +//! on the gcd pair and (its reverse) as the cofactor multiply. +//! +//! `long_division(A,B,q)`: A := A mod B, q := A // B (q starts |0>). Reversible. +//! `long_division_reverse(A,B,q)`: the inverse -- A := A + q*B, q := 0 (consumes +//! q). This is exactly the consuming multiply `|a| += q|b|` applied to (|a|,|b|). + +use crate::point_add::trailmix_port::arith::cuccaro::controlled_add_cuccaro_3n_refs; +use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +/// The four unpacked PZ-EEA registers. gcd pair (`a_gcd=A`, `b_gcd=B`) shrinks; +/// cofactor pair (ca, cb) grows. Init A=P, B=dx, ca=0, cb=1; at the end +/// dx^{-1} == (cb - ca) mod p (one cofactor is 0, sign baked into which). +pub struct PzRegs { + pub a_gcd: Vec, + pub b_gcd: Vec, + pub ca: Vec, + pub cb: Vec, +} + +fn borrow_compare_refs_inner( + circ: &mut Circuit, + v: &[&QReg], + u: &[&QReg], + active: Option<&QReg>, + not_gate: Option<&QReg>, + out: &QReg, + borrowed_carry: Option<&QReg>, +) { + let n = v.len(); + assert_eq!(u.len(), n); + if n == 0 { + return; + } + let pcmp = circ.push_section("p.cmp"); + for q in v { + circ.x(q); // v -> ~v + } + let a = u; // accumulator + let b = v; // = ~v + let owned_carry = borrowed_carry.is_none().then(|| circ.alloc_qreg("bc.c")); + let cc = borrowed_carry.unwrap_or_else(|| owned_carry.as_ref().unwrap()); + assert!(!std::ptr::eq(cc, out), "comparator carry aliases output"); + assert!( + !v.iter().chain(u).any(|&q| std::ptr::eq(q, cc)), + "comparator carry aliases an operand" + ); + circ.cx(b[0], a[0]); + circ.cx(b[0], cc); + circ.ccx(cc, a[0], b[0]); + for i in 1..n { + circ.cx(b[i], a[i]); + circ.cx(b[i], b[i - 1]); + circ.ccx(b[i - 1], a[i], b[i]); + } + match (active, not_gate) { + (Some(active), Some(not_gate)) => { + assert!(!std::ptr::eq(active, not_gate), "comparator gates alias"); + assert!(!std::ptr::eq(not_gate, out), "comparator NOT gate aliases output"); + assert!( + !v.iter().chain(u).any(|&q| std::ptr::eq(q, not_gate)), + "comparator NOT gate aliases a compared operand" + ); + circ.x(not_gate); + mcx_dirty_ladder(circ, &[active, not_gate, b[n - 1]], out, &[a[0]]); + circ.x(not_gate); + } + (Some(active), None) => circ.ccx(active, b[n - 1], out), + (None, None) => circ.cx(b[n - 1], out), + (None, Some(_)) => panic!("comparator NOT gate requires an active gate"), + } + for i in (1..n).rev() { + circ.ccx(b[i - 1], a[i], b[i]); + circ.cx(b[i], b[i - 1]); + circ.cx(b[i], a[i]); + } + circ.ccx(cc, a[0], b[0]); + circ.cx(b[0], cc); + circ.cx(b[0], a[0]); + if let Some(cc) = owned_carry { + circ.zero_and_free(cc); + } + for q in v { + circ.x(q); + } + circ.pop_section(&pcmp); +} + +/// `out ^= (v < u)` (MAJ cascade + carry capture + un-MAJ), v,u restored. Refs +/// variant of `two_cursor::borrow_compare` (windows here are non-contiguous). +pub(crate) fn borrow_compare_refs(circ: &mut Circuit, v: &[&QReg], u: &[&QReg], out: &QReg) { + borrow_compare_refs_inner(circ, v, u, None, None, out, None); +} + +/// `out ^= (v < u)` using a caller-provided clean carry lane. The carry is +/// restored to zero before return. +pub(crate) fn borrow_compare_refs_with_carry( + circ: &mut Circuit, + v: &[&QReg], + u: &[&QReg], + out: &QReg, + carry: &QReg, +) { + assert!(!std::ptr::eq(out, carry), "comparator carry aliases output"); + assert!( + !v.iter() + .chain(u) + .any(|&q| std::ptr::eq(q, out) || std::ptr::eq(q, carry)), + "comparator output/carry aliases an operand" + ); + borrow_compare_refs_inner(circ, v, u, None, None, out, Some(carry)); +} + +/// `out ^= active AND (v < u)`, with `v`, `u`, and `active` restored. +/// +/// The active control is applied directly to the comparator's final carry. This +/// avoids retaining a separate `(v < u)` result qubit across the gated body. +pub(crate) fn borrow_compare_gated_refs( + circ: &mut Circuit, + v: &[&QReg], + u: &[&QReg], + active: &QReg, + out: &QReg, +) { + assert!(!std::ptr::eq(active, out), "gated compare control aliases output"); + assert!( + !v.iter().chain(u).any(|&q| std::ptr::eq(q, active) || std::ptr::eq(q, out)), + "gated compare control/output aliases an operand" + ); + borrow_compare_refs_inner(circ, v, u, Some(active), None, out, None); +} + +/// `out ^= active AND (v < u)` using a caller-provided clean carry lane. +/// The carry is restored to zero before return. +pub(crate) fn borrow_compare_gated_refs_with_carry( + circ: &mut Circuit, + v: &[&QReg], + u: &[&QReg], + active: &QReg, + out: &QReg, + carry: &QReg, +) { + assert!(!std::ptr::eq(active, carry), "comparator carry aliases active"); + assert!(!std::ptr::eq(out, carry), "comparator carry aliases output"); + assert!( + !v.iter() + .chain(u) + .any(|&q| std::ptr::eq(q, active) || std::ptr::eq(q, out) || std::ptr::eq(q, carry)), + "gated compare control/output/carry aliases an operand" + ); + borrow_compare_refs_inner(circ, v, u, Some(active), None, out, Some(carry)); +} + +/// `out ^= active AND NOT(not_gate) AND (v < u)` with a caller-provided clean +/// carry. `not_gate` must be outside the compared slices. All inputs and the +/// dirty ladder lender are restored exactly. +pub(crate) fn borrow_compare_gated_not_refs_with_carry( + circ: &mut Circuit, + v: &[&QReg], + u: &[&QReg], + active: &QReg, + not_gate: &QReg, + out: &QReg, + carry: &QReg, +) { + assert!(!v.is_empty(), "gated-NOT comparator requires a dirty lender"); + assert!(!std::ptr::eq(active, not_gate), "comparator gates alias"); + assert!(!std::ptr::eq(active, carry), "comparator carry aliases active"); + assert!(!std::ptr::eq(not_gate, carry), "comparator carry aliases NOT gate"); + assert!(!std::ptr::eq(out, carry), "comparator carry aliases output"); + assert!( + !v.iter().chain(u).any(|&q| { + std::ptr::eq(q, active) + || std::ptr::eq(q, not_gate) + || std::ptr::eq(q, out) + || std::ptr::eq(q, carry) + }), + "gated-NOT comparator control/output/carry aliases an operand" + ); + borrow_compare_refs_inner( + circ, + v, + u, + Some(active), + Some(not_gate), + out, + Some(carry), + ); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945Row364ComparatorReport { + pub exhaustive_widths_checked: usize, + pub unequal_states_checked: usize, + pub equal_states_checked: usize, + pub phase_cleanup_states_checked: usize, + pub ancilla_cleanup_states_checked: usize, + pub carry_restoration_states_checked: usize, + pub exact_width: usize, + pub exact_width_x_ops: usize, + pub exact_width_cx_ops: usize, + pub exact_width_ccx_ops: usize, + pub exact_width_emitted_ops: usize, + pub exact_width_external_qubits: usize, + pub exact_width_extra_qubits: usize, +} + +/// Exhaust the finite control/output truth table and all operand pairs for +/// widths one through four, then bind that parametric primitive to the exact +/// row-364 lower-80 emission. The 80-bit check is structural: no new qubit may +/// be allocated and only classical reversible gates are permitted. +#[doc(hidden)] +pub fn exhaustive_q945_row364_compare_check() -> Q945Row364ComparatorReport { + use crate::circuit::{OperationType, QubitId}; + use crate::point_add::B; + use crate::sim::Simulator; + use sha3::{digest::{ExtendableOutput, Update}, Shake128}; + + struct Harness { + builder: B, + a: Vec, + b: Vec, + active: u32, + not_gate: u32, + out: u32, + carry: u32, + external: Vec, + } + + fn ids(reg: &[QReg]) -> Vec { + reg.iter().map(QReg::id).collect() + } + + fn build(width: usize) -> Harness { + let mut c = Circuit::new(); + let a = c.alloc_qreg_bits("q945-row364.a", width); + let b = c.alloc_qreg_bits("q945-row364.b", width); + let active = c.alloc_qreg("q945-row364.active"); + let not_gate = c.alloc_qreg("q945-row364.a80"); + let out = c.alloc_qreg("q945-row364.out"); + let carry = c.alloc_qreg("q945-row364.b80"); + let ar: Vec<&QReg> = a.iter().collect(); + let br: Vec<&QReg> = b.iter().collect(); + borrow_compare_gated_not_refs_with_carry( + &mut c, + &ar, + &br, + &active, + ¬_gate, + &out, + &carry, + ); + let a_ids = ids(&a); + let b_ids = ids(&b); + let external: Vec = a_ids + .iter() + .chain(&b_ids) + .copied() + .chain([active.id(), not_gate.id(), out.id(), carry.id()]) + .collect(); + Harness { + builder: c.into_builder(), + a: a_ids, + b: b_ids, + active: active.id(), + not_gate: not_gate.id(), + out: out.id(), + carry: carry.id(), + external, + } + } + + let mut unequal_states_checked = 0usize; + let mut equal_states_checked = 0usize; + let mut cleanup_states_checked = 0usize; + for width in 1..=4usize { + let harness = build(width); + let limit = 1usize << width; + let states: Vec<_> = (0..limit) + .flat_map(|a| { + (0..limit).flat_map(move |b| { + [false, true].into_iter().flat_map(move |active| { + [false, true].into_iter().flat_map(move |not_gate| { + [false, true] + .into_iter() + .map(move |out| (a, b, active, not_gate, out)) + }) + }) + }) + }) + .collect(); + for (batch, chunk) in states.chunks(64).enumerate() { + let mut seed = Shake128::default(); + seed.update(b"q945-row364-exhaustive"); + seed.update(&(width as u64).to_le_bytes()); + seed.update(&(batch as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + let mut expected_a = vec![0u64; width]; + let mut expected_b = vec![0u64; width]; + let mut expected_active = 0u64; + let mut expected_not_gate = 0u64; + let mut expected_out = 0u64; + for (shot, &(a, b, active, not_gate, out)) in chunk.iter().enumerate() { + let mask = 1u64 << shot; + for bit in 0..width { + if (a >> bit) & 1 == 1 { + *sim.qubit_mut(QubitId(u64::from(harness.a[bit]))) |= mask; + expected_a[bit] |= mask; + } + if (b >> bit) & 1 == 1 { + *sim.qubit_mut(QubitId(u64::from(harness.b[bit]))) |= mask; + expected_b[bit] |= mask; + } + } + if active { + *sim.qubit_mut(QubitId(u64::from(harness.active))) |= mask; + expected_active |= mask; + } + if not_gate { + *sim.qubit_mut(QubitId(u64::from(harness.not_gate))) |= mask; + expected_not_gate |= mask; + } + if out { + *sim.qubit_mut(QubitId(u64::from(harness.out))) |= mask; + } + if out ^ (active && !not_gate && a < b) { + expected_out |= mask; + } + if a == b { + equal_states_checked += 1; + } else { + unequal_states_checked += 1; + } + } + sim.apply_iter(harness.builder.ops.iter()); + for (bit, &id) in harness.a.iter().enumerate() { + assert_eq!(sim.qubit(QubitId(u64::from(id))), expected_a[bit]); + } + for (bit, &id) in harness.b.iter().enumerate() { + assert_eq!(sim.qubit(QubitId(u64::from(id))), expected_b[bit]); + } + assert_eq!(sim.qubit(QubitId(u64::from(harness.active))), expected_active); + assert_eq!( + sim.qubit(QubitId(u64::from(harness.not_gate))), + expected_not_gate + ); + assert_eq!(sim.qubit(QubitId(u64::from(harness.out))), expected_out); + assert_eq!(sim.qubit(QubitId(u64::from(harness.carry))), 0); + assert_eq!(sim.phase, 0, "Q945 row-364 comparator left phase garbage"); + for id in 0..harness.builder.next_qubit { + if !harness.external.contains(&id) { + assert_eq!(sim.qubit(QubitId(u64::from(id))), 0); + } + } + cleanup_states_checked += chunk.len(); + } + } + + let exact_width = 80usize; + let exact = build(exact_width); + let exact_width_external_qubits = 2 * exact_width + 4; + assert_eq!(exact.external.len(), exact_width_external_qubits); + assert_eq!(exact.builder.next_qubit as usize, exact_width_external_qubits); + assert_eq!(exact.builder.active_qubits as usize, exact_width_external_qubits); + assert_eq!(exact.builder.peak_qubits as usize, exact_width_external_qubits); + let exact_width_x_ops = exact + .builder + .ops + .iter() + .filter(|op| op.kind == OperationType::X) + .count(); + let exact_width_cx_ops = exact + .builder + .ops + .iter() + .filter(|op| op.kind == OperationType::CX) + .count(); + let exact_width_ccx_ops = exact + .builder + .ops + .iter() + .filter(|op| op.kind == OperationType::CCX) + .count(); + let exact_width_emitted_ops = exact.builder.ops.len(); + assert_eq!(exact_width_x_ops, 2 * exact_width + 2); + assert_eq!(exact_width_cx_ops, 4 * exact_width); + assert_eq!(exact_width_ccx_ops, 2 * exact_width + 4); + assert_eq!( + exact_width_emitted_ops, + exact_width_x_ops + exact_width_cx_ops + exact_width_ccx_ops + ); + assert_eq!(exact_width_emitted_ops, 8 * exact_width + 6); + assert_eq!(unequal_states_checked, 2_480); + assert_eq!(equal_states_checked, 240); + assert_eq!(cleanup_states_checked, 2_720); + + Q945Row364ComparatorReport { + exhaustive_widths_checked: 4, + unequal_states_checked, + equal_states_checked, + phase_cleanup_states_checked: cleanup_states_checked, + ancilla_cleanup_states_checked: cleanup_states_checked, + carry_restoration_states_checked: cleanup_states_checked, + exact_width, + exact_width_x_ops, + exact_width_cx_ops, + exact_width_ccx_ops, + exact_width_emitted_ops, + exact_width_external_qubits, + exact_width_extra_qubits: exact.builder.peak_qubits as usize + - exact_width_external_qubits, + } +} + +/// a += b (mod 2^len) gated on `g`. Plain controlled Cuccaro (3n). +pub(crate) fn ctrl_add(c: &mut Circuit, g: &QReg, a: &[&QReg], b: &[&QReg]) { + let prev = c.push_section("p.add"); + controlled_add_cuccaro_3n_refs(c, g, a, b); + c.pop_section(&prev); +} + +/// a -= b (mod 2^len) gated on `g` (X-bracket + controlled add). PRE when g: a>=b. +pub(crate) fn ctrl_sub(c: &mut Circuit, g: &QReg, a: &[&QReg], b: &[&QReg]) { + let prev = c.push_section("p.sub"); + for q in a { + c.x(q); + } + controlled_add_cuccaro_3n_refs(c, g, a, b); + for q in a { + c.x(q); + } + c.pop_section(&prev); +} + +/// `a += g*b (mod 2^n)` without allocating a carry qubit. +/// +/// Each addend bit controls an increment of the corresponding suffix of `a`. +/// The increment is emitted from high to low so its controls see the +/// pre-increment lower suffix. Multi-controlled X gates borrow the other bits +/// of `b` as dirty lenders and restore them exactly. This route is intended for +/// the five-bit hybrid-CLZ transcript update, where saving Cuccaro's one clean +/// carry removes the global peak qubit at modest gate cost. +pub(crate) fn ctrl_add_dirty_lenders( + c: &mut Circuit, + g: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + let prev = c.push_section("p.add"); + assert_eq!(a.len(), b.len(), "ctrl_add_dirty_lenders width mismatch"); + let n = a.len(); + + for i in 0..n { + let dirty: Vec<&QReg> = b + .iter() + .enumerate() + .filter_map(|(k, &q)| (k != i).then_some(q)) + .collect(); + for j in (i..n).rev() { + let mut ctrls = Vec::with_capacity(j - i + 2); + ctrls.push(g); + ctrls.push(b[i]); + ctrls.extend_from_slice(&a[i..j]); + mcx_dirty_ladder(c, &ctrls, a[j], &dirty); + } + } + c.pop_section(&prev); +} + +/// `a -= g*b (mod 2^n)` using the allocation-free dirty-lender adder. +pub(crate) fn ctrl_sub_dirty_lenders( + c: &mut Circuit, + g: &QReg, + a: &[&QReg], + b: &[&QReg], +) { + let prev = c.push_section("p.sub"); + for q in a { + c.x(q); + } + ctrl_add_dirty_lenders(c, g, a, b); + for q in a { + c.x(q); + } + c.pop_section(&prev); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct DirtyLenderExhaustiveReport { + pub widths_checked: usize, + pub input_states_checked: usize, + pub gate_simulations: usize, + pub width5_add_ops: usize, + pub width5_add_toffoli: usize, + pub width5_sub_ops: usize, + pub width5_sub_toffoli: usize, +} + +/// Interpret and exhaustively verify the emitted add/sub streams for widths +/// one through five. This covers every control, accumulator, and dirty-lender +/// state. Any allocation or non-classical gate fails closed. +#[doc(hidden)] +pub fn exhaustive_dirty_lender_check() -> DirtyLenderExhaustiveReport { + use crate::circuit::{Op, OperationType}; + + fn apply(ops: &[Op], mut state: u64) -> u64 { + let bit = |state: u64, id: u64| ((state >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + other => panic!("dirty-lender primitive emitted unexpected gate {other:?}"), + } + } + state + } + + fn build(n: usize, subtract: bool) -> crate::point_add::B { + let mut c = Circuit::new(); + let g = c.alloc_qreg("dirty-check.g"); + let a = c.alloc_qreg_bits("dirty-check.a", n); + let b = c.alloc_qreg_bits("dirty-check.b", n); + let a_refs: Vec<&QReg> = a.iter().collect(); + let b_refs: Vec<&QReg> = b.iter().collect(); + if subtract { + ctrl_sub_dirty_lenders(&mut c, &g, &a_refs, &b_refs); + } else { + ctrl_add_dirty_lenders(&mut c, &g, &a_refs, &b_refs); + } + drop(a_refs); + drop(b_refs); + let builder = c.into_builder(); + assert_eq!(builder.next_qubit as usize, 2 * n + 1); + assert_eq!(builder.peak_qubits as usize, 2 * n + 1); + assert_eq!(builder.active_qubits as usize, 2 * n + 1); + drop((g, a, b)); + builder + } + + let mut input_states_checked = 0usize; + let mut gate_simulations = 0usize; + let mut width5_add_ops = 0usize; + let mut width5_add_toffoli = 0usize; + let mut width5_sub_ops = 0usize; + let mut width5_sub_toffoli = 0usize; + + for n in 1..=5usize { + let add = build(n, false); + let sub = build(n, true); + let states = 1usize << (2 * n + 1); + input_states_checked += states; + gate_simulations += 2 * states; + if n == 5 { + width5_add_ops = add.ops.len(); + width5_add_toffoli = add + .ops + .iter() + .filter(|op| op.kind == OperationType::CCX) + .count(); + width5_sub_ops = sub.ops.len(); + width5_sub_toffoli = sub + .ops + .iter() + .filter(|op| op.kind == OperationType::CCX) + .count(); + } + + let mask = (1u64 << n) - 1; + for input in 0..states as u64 { + let g = input & 1; + let a = (input >> 1) & mask; + let b = (input >> (n + 1)) & mask; + for (subtract, builder) in [(false, &add), (true, &sub)] { + let output = apply(&builder.ops, input); + let got_g = output & 1; + let got_a = (output >> 1) & mask; + let got_b = (output >> (n + 1)) & mask; + let want_a = if g == 0 { + a + } else if subtract { + a.wrapping_sub(b) & mask + } else { + a.wrapping_add(b) & mask + }; + assert_eq!(got_g, g, "width={n} subtract={subtract}: control changed"); + assert_eq!(got_b, b, "width={n} subtract={subtract}: lender changed"); + assert_eq!( + got_a, want_a, + "width={n} subtract={subtract} g={g} a={a} b={b}" + ); + } + } + } + + DirtyLenderExhaustiveReport { + widths_checked: 5, + input_states_checked, + gate_simulations, + width5_add_ops, + width5_add_toffoli, + width5_sub_ops, + width5_sub_toffoli, + } +} + +/// Restoring long division. `a` (n qubits, value < 2^n), `b` (m qubits, 0). After: a holds (a mod b) in [0,m), a[m..n)=0; q = a//b. +/// Per quotient position j (high to low): window w = a[j..j+m] ++ guard; set +/// q[j] = (w >= b); if q[j] subtract b from w. Reversible; reverse = +/// [`long_division_reverse`]. +pub fn long_division(c: &mut Circuit, a: &[QReg], b: &[QReg], q: &[QReg]) { + let n = a.len(); + let m = b.len(); + assert_eq!(q.len(), n - m + 1, "q width must be n-m+1"); + let bguard = c.alloc_qreg("ld.bguard"); // bext top bit (|0>) + let wguard = c.alloc_qreg("ld.wguard"); // window top bit when j=n-m (|0>) + let bext: Vec<&QReg> = b.iter().chain(std::iter::once(&bguard)).collect(); // m+1, top 0 + for j in (0..=n - m).rev() { + let mut win: Vec<&QReg> = a[j..(j + m).min(n)].iter().collect(); + if j + m < n { + win.push(&a[j + m]); // real high bit + } else { + win.push(&wguard); // top: separate alloc'd guard (disjoint from bext) + } + debug_assert_eq!(win.len(), m + 1); + // q[j] = (win >= b): borrow_compare gives (win < b); X to flip. + borrow_compare_refs(c, &win, &bext, &q[j]); + c.x(&q[j]); + // if q[j]: win -= b + ctrl_sub(c, &q[j], &win, &bext); + } + c.zero_and_free(wguard); + c.zero_and_free(bguard); +} + +/// Inverse of [`long_division`]: a += q*b, q := 0. PRE: a = (orig a mod b), +/// q = orig a // b. This IS the consuming multiply `|a| += q|b|`. +pub fn long_division_reverse(c: &mut Circuit, a: &[QReg], b: &[QReg], q: &[QReg]) { + let n = a.len(); + let m = b.len(); + assert_eq!(q.len(), n - m + 1, "q width must be n-m+1"); + let bguard = c.alloc_qreg("ld.bguard"); + let wguard = c.alloc_qreg("ld.wguard"); + let bext: Vec<&QReg> = b.iter().chain(std::iter::once(&bguard)).collect(); + for j in 0..=n - m { + let mut win: Vec<&QReg> = a[j..(j + m).min(n)].iter().collect(); + if j + m < n { + win.push(&a[j + m]); + } else { + win.push(&wguard); + } + // undo: if q[j], win += b ; then uncompute q[j] (X; re-compare). + ctrl_add(c, &q[j], &win, &bext); + c.x(&q[j]); + borrow_compare_refs(c, &win, &bext, &q[j]); // q[j] -> 0 + } + c.zero_and_free(wguard); + c.zero_and_free(bguard); +} + +#[cfg(test)] +mod tests { + use super::*; + use crate::point_add::trailmix_port::num_bigint::BigUint; + use rand::Rng; + + fn rd(view: &crate::point_add::trailmix_port::circuit::ContractSimView, reg: &[QReg], shot: usize) -> BigUint { + let mut x = BigUint::from(0u32); + for (j, qb) in reg.iter().enumerate() { + if view.contract_read_bit_shot(qb, shot) { + x |= BigUint::from(1u32) << j; + } + } + x + } + + /// long_division then long_division_reverse: a -> a mod b (q = a//b) -> a (q=0). + #[test] + fn long_division_roundtrip() { + let n = 64usize; + let m = 32usize; + let mut rng = rand::thread_rng(); + let mut c = Circuit::new(); + c.set_max_qubit_peak(400); + let a = c.alloc_qreg_bits("a", n); + let b = c.alloc_qreg_bits("b", m); + let q = c.alloc_qreg_bits("q", n - m + 1); + // 64 shots: random a < 2^(n), b in [2^(m-1), 2^m) (nonzero high bit). + let mut avs = Vec::new(); + let mut bvs = Vec::new(); + for shot in 0..64 { + let av: BigUint = BigUint::from(rng.gen::() >> 1); // < 2^63 + let bv: BigUint = (BigUint::from(rng.gen::()) % (BigUint::from(1u32) << m as u32)) + | (BigUint::from(1u32) << (m as u32 - 1)); // normalized m-bit + let mut al = av.to_bytes_le(); + al.resize(32, 0); + c.sim_load_reg_bytes_shot(&a, &al, shot); + let mut bl = bv.to_bytes_le(); + bl.resize(32, 0); + c.sim_load_reg_bytes_shot(&b, &bl, shot); + avs.push(av); + bvs.push(bv); + } + long_division(&mut c, &a, &b, &q); + { + let (ar, qr, br, av2, bv2) = (&a, &q, &b, avs.clone(), bvs.clone()); + c.contract_check("ld_div", move |view, shot| { + let rem = rd(&view, ar, shot); + let quo = rd(&view, qr, shot); + let bb = rd(&view, br, shot); + let (av, bv) = (&av2[shot], &bv2[shot]); + if bb != *bv { + return Err("b changed".into()); + } + if rem != av % bv { + return Err(format!("rem wrong: {rem} != {}%{}", av, bv)); + } + if quo != av / bv { + return Err(format!("quo wrong: {quo} != {}/{}", av, bv)); + } + Ok(()) + }); + } + long_division_reverse(&mut c, &a, &b, &q); + { + let (ar, qr, av2) = (&a, &q, avs.clone()); + c.contract_check("ld_rev", move |view, shot| { + if rd(&view, ar, shot) != av2[shot] { + return Err("a not restored".into()); + } + if rd(&view, qr, shot) != BigUint::from(0u32) { + return Err("q not cleared".into()); + } + Ok(()) + }); + } + c.assert_phase_clean(); + eprintln!( + "LONG DIVISION roundtrip ok: peak {} q, {} tof", + c.peak_qubits, + c.executed_toffoli_shots / 64 + ); + let mut outs = vec![]; + outs.extend(a); + outs.extend(b); + outs.extend(q); + let _ = c.destroy_sim(outs); + } +} diff --git a/src/point_add/trailmix_port/inversion/shrunken_pz_schedule.rs b/src/point_add/trailmix_port/inversion/shrunken_pz_schedule.rs new file mode 100644 index 00000000..db60c129 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/shrunken_pz_schedule.rs @@ -0,0 +1,2292 @@ +// GENERATED by src/bin/gen_shrunken_pz_schedule.rs -- cross-gated shrunken-PZ +// single-q inversion per-step schedule (margin=0; bounds = per-step extremes +// over 120000000 samples; held-out whole-pass 99.99982% = 9/5000000 miss). +// peak A+B+ca+cb+q=741 at step 348. +// _W = register width (= max bitlen incl transient); _LO = clz window +// low bound (scan src[LO..W], MSB guaranteed >= LO); _SD = shift bound. + +use std::sync::OnceLock; + +use alloy_primitives::U256; +use ruint::Uint; + +use super::q945_local_hosts::{ + q945_carry_route, q945_hclz_route, Q945CarryRoute, Q945HclzForm, Q945HclzRoute, + Q945Host, Q945StateRegister, Q945Substep, Q945_HCLZ_ROWS, Q945_NON_HCLZ_ROWS, +}; + +type U512 = Uint<512, 8>; + +#[allow(dead_code)] +pub const SHRUNKEN_PZ_NSTEPS: usize = 530; + +#[allow(dead_code)] +pub const SHRUNKEN_PZ_A: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 256, 255, 255, 254, 255, 254, 254, 253, 254, 253, 253, 252, 252, 251, 252, 251, 251, 250, 250, + 249, 250, 249, 249, 248, 248, 247, 247, 246, 247, 246, 246, 245, 245, 244, 245, 244, 244, 243, + 243, 242, 242, 241, 242, 240, 241, 240, 240, 239, 240, 238, 239, 237, 237, 236, 237, 235, 236, + 235, 235, 233, 234, 233, 233, 232, 233, 232, 232, 231, 232, 229, 230, 229, 229, 228, 228, 227, + 228, 227, 226, 225, 226, 224, 225, 224, 224, 223, 223, 222, 222, 221, 221, 220, 220, 219, 220, + 218, 219, 218, 218, 217, 217, 216, 216, 215, 216, 215, 215, 213, 214, 213, 213, 211, 213, 212, + 211, 210, 210, 209, 210, 209, 209, 206, 209, 206, 206, 205, 204, 203, 204, 203, 203, 201, 203, + 202, 201, 199, 200, 199, 199, 198, 198, 197, 198, 196, 197, 195, 195, 194, 195, 194, 193, 192, + 193, 191, 192, 191, 191, 189, 191, 189, 189, 187, 188, 187, 187, 186, 186, 185, 185, 184, 185, + 182, 184, 182, 182, 181, 182, 180, 181, 179, 180, 177, 179, 177, 177, 176, 177, 175, 176, 174, + 174, 173, 173, 172, 173, 171, 172, 171, 171, 170, 170, 169, 170, 168, 169, 167, 168, 166, 167, + 165, 166, 165, 165, 164, 164, 160, 164, 162, 161, 160, 160, 159, 160, 159, 158, 156, 157, 155, + 156, 154, 155, 154, 154, 153, 154, 153, 152, 150, 152, 151, 150, 149, 150, 148, 149, 148, 147, + 146, 146, 145, 146, 145, 145, 143, 144, 143, 143, 141, 143, 140, 141, 139, 140, 139, 138, 136, + 138, 137, 136, 134, 136, 134, 134, 133, 134, 133, 133, 132, 132, 130, 132, 131, 129, 127, 129, + 127, 127, 126, 127, 125, 125, 124, 125, 123, 123, 121, 123, 121, 120, 118, 121, 120, 118, 117, + 117, 116, 116, 115, 116, 114, 115, 114, 114, 113, 113, 111, 113, 110, 111, 110, 110, 108, 109, + 108, 108, 107, 107, 105, 106, 105, 105, 104, 105, 103, 103, 102, 103, 101, 102, 100, 101, 99, + 100, 99, 98, 98, 99, 96, 98, 96, 96, 94, 96, 94, 93, 91, 93, 92, 91, 89, 90, 89, 89, 88, 88, + 87, 88, 86, 87, 85, 86, 84, 85, 83, 84, 83, 83, 81, 83, 81, 81, 80, 81, 80, 80, 79, 79, 77, 79, + 77, 77, 75, 76, 73, 75, 74, 73, 72, 73, 72, 72, 69, 72, 71, 70, 68, 68, 67, 67, 65, 67, 64, 65, + 63, 63, 61, 63, 60, 61, 59, 60, 58, 58, 57, 58, 57, 57, 55, 56, 53, 55, 54, 53, 52, 53, 52, 52, + 50, 52, 50, 50, 49, 50, 48, 49, 47, 47, 46, 47, 45, 45, 43, 45, 43, 43, 41, 43, 42, 41, 40, 40, + 39, 39, 38, 39, 37, 38, 37, 37, 35, 37, 36, 34, 34, 35, 33, 34, 33, 33, 30, 33, 32, 31, 29, 29, + 27, 28, 26, 27, 26, 28, 24, 26, 25, 23, 20, 22, 21, 22, 19, 20, 19, 19, 18, 19, 18, 17, 16, 16, + 15, 16, 13, 15, 14, 13, 12, 12, 11, 12, 11, 11, 9, 11, 9, 9, 6, 9, 8, 6, 3, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_B: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 256, 255, 255, 255, 255, 254, 254, 254, 254, 253, 253, 252, 252, 252, 252, 251, 251, 250, 250, + 250, 250, 249, 249, 248, 248, 247, 247, 247, 247, 246, 246, 245, 245, 245, 244, 244, 244, 243, + 243, 242, 242, 242, 241, 241, 240, 240, 240, 240, 239, 239, 238, 237, 237, 237, 237, 236, 236, + 235, 235, 234, 234, 233, 233, 233, 232, 232, 232, 232, 232, 230, 230, 229, 229, 228, 228, 228, + 228, 226, 226, 226, 225, 225, 225, 224, 224, 223, 223, 222, 221, 221, 221, 220, 220, 220, 220, + 219, 218, 218, 217, 217, 216, 216, 216, 216, 215, 215, 215, 214, 213, 213, 213, 213, 212, 211, + 210, 210, 210, 210, 209, 209, 209, 209, 209, 206, 205, 204, 204, 204, 204, 203, 203, 203, 203, + 202, 201, 200, 200, 199, 198, 198, 198, 198, 197, 197, 196, 195, 195, 195, 194, 193, 193, 193, + 192, 192, 192, 191, 191, 191, 190, 189, 188, 188, 188, 187, 186, 186, 186, 185, 185, 185, 185, + 184, 184, 182, 182, 182, 181, 181, 180, 180, 180, 179, 179, 177, 177, 177, 176, 176, 175, 174, + 173, 173, 173, 173, 172, 172, 172, 171, 171, 170, 170, 170, 169, 169, 168, 168, 168, 167, 167, + 166, 165, 165, 164, 164, 164, 164, 163, 162, 161, 160, 160, 160, 159, 158, 158, 157, 157, 156, + 156, 155, 154, 154, 154, 154, 153, 152, 152, 152, 152, 151, 150, 150, 149, 149, 149, 147, 147, + 146, 146, 146, 145, 145, 145, 144, 143, 143, 143, 143, 142, 141, 141, 140, 140, 139, 138, 138, + 137, 136, 136, 136, 136, 134, 134, 134, 134, 133, 132, 132, 132, 132, 131, 130, 129, 129, 128, + 127, 127, 127, 127, 125, 125, 125, 125, 123, 123, 123, 123, 121, 121, 121, 120, 119, 118, 117, + 117, 116, 116, 116, 115, 115, 115, 114, 113, 113, 113, 113, 113, 111, 111, 110, 110, 109, 109, + 108, 108, 107, 107, 106, 106, 105, 105, 105, 104, 103, 103, 103, 102, 102, 102, 101, 100, 100, + 100, 99, 99, 99, 98, 98, 98, 96, 96, 96, 95, 93, 93, 93, 92, 91, 91, 90, 90, 89, 88, 88, 88, + 88, 87, 87, 86, 86, 85, 85, 84, 84, 83, 83, 83, 83, 82, 81, 81, 81, 80, 80, 79, 79, 79, 79, 79, + 77, 77, 76, 76, 75, 74, 73, 73, 73, 72, 72, 72, 72, 72, 71, 69, 68, 67, 67, 67, 67, 67, 65, 64, + 63, 63, 63, 63, 61, 61, 60, 59, 58, 58, 58, 58, 57, 56, 56, 56, 55, 55, 53, 53, 53, 53, 52, 52, + 52, 51, 50, 50, 50, 49, 49, 49, 47, 47, 47, 46, 45, 45, 45, 44, 43, 43, 43, 42, 41, 40, 40, 40, + 39, 39, 39, 39, 38, 37, 37, 37, 37, 36, 35, 35, 35, 34, 34, 33, 33, 33, 33, 33, 31, 30, 29, 29, + 28, 28, 28, 28, 28, 28, 26, 25, 24, 23, 22, 22, 22, 22, 20, 20, 19, 19, 19, 18, 17, 16, 16, 16, + 16, 16, 15, 14, 13, 12, 12, 12, 12, 11, 11, 11, 11, 10, 9, 9, 9, 8, 7, 6, 6, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_CA: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 0, 14, 14, 19, 15, 18, 18, 20, 22, 23, 21, 25, 27, 28, 25, 29, 28, 30, 31, 33, 31, 34, 33, 35, + 34, 36, 39, 41, 36, 41, 41, 41, 41, 42, 43, 45, 46, 47, 46, 48, 47, 49, 48, 50, 49, 52, 53, 55, + 52, 57, 55, 57, 57, 58, 58, 61, 57, 61, 61, 62, 61, 63, 63, 65, 65, 67, 65, 67, 67, 68, 69, 70, + 70, 71, 72, 73, 71, 75, 75, 76, 75, 77, 76, 78, 78, 79, 80, 84, 79, 86, 84, 86, 86, 86, 87, 89, + 86, 91, 90, 91, 91, 91, 92, 94, 93, 95, 96, 97, 94, 96, 98, 99, 99, 100, 98, 101, 100, 104, + 104, 106, 105, 109, 106, 112, 109, 112, 112, 114, 114, 116, 114, 118, 116, 118, 118, 118, 118, + 120, 120, 123, 120, 123, 123, 123, 123, 124, 126, 128, 126, 129, 128, 130, 129, 132, 130, 135, + 132, 139, 135, 141, 139, 139, 144, 146, 141, 146, 146, 149, 146, 146, 146, 146, 149, 150, 153, + 156, 149, 157, 156, 158, 157, 159, 158, 161, 159, 159, 159, 162, 164, 165, 161, 166, 165, 167, + 166, 168, 167, 168, 168, 168, 170, 171, 168, 171, 171, 171, 171, 172, 173, 174, 171, 175, 174, + 177, 175, 177, 177, 177, 177, 178, 179, 180, 177, 177, 177, 179, 180, 182, 183, 184, 180, 186, + 184, 187, 186, 188, 187, 190, 188, 192, 190, 192, 192, 193, 192, 195, 193, 195, 195, 196, 195, + 195, 195, 197, 198, 199, 196, 200, 199, 201, 200, 205, 202, 203, 205, 207, 205, 208, 207, 208, + 208, 209, 208, 208, 211, 212, 209, 215, 212, 215, 215, 217, 215, 217, 217, 217, 219, 220, 217, + 219, 219, 221, 222, 225, 220, 225, 225, 226, 225, 227, 227, 228, 227, 232, 228, 232, 232, 232, + 233, 234, 232, 232, 232, 235, 236, 238, 236, 239, 240, 241, 239, 241, 241, 242, 241, 243, 242, + 244, 243, 245, 243, 247, 245, 245, 247, 249, 248, 250, 251, 252, 249, 253, 252, 255, 253, 254, + 255, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, + 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_CB: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 1, 14, 14, 19, 19, 19, 19, 20, 22, 23, 23, 25, 27, 28, 28, 29, 29, 30, 30, 32, 33, 34, 34, 35, + 35, 36, 39, 41, 41, 41, 41, 41, 41, 42, 42, 45, 46, 47, 47, 48, 48, 49, 49, 50, 50, 52, 53, 55, + 55, 57, 57, 57, 57, 58, 58, 60, 61, 61, 61, 62, 62, 63, 63, 64, 65, 66, 67, 67, 67, 68, 68, 70, + 70, 70, 72, 73, 73, 75, 75, 76, 76, 77, 77, 77, 78, 79, 80, 84, 84, 86, 86, 86, 86, 86, 86, 89, + 89, 90, 91, 91, 91, 91, 92, 93, 94, 95, 95, 96, 97, 97, 97, 98, 99, 100, 100, 101, 101, 104, + 104, 106, 106, 109, 109, 112, 112, 112, 112, 113, 114, 115, 116, 118, 118, 118, 118, 118, 118, + 120, 120, 123, 123, 123, 123, 123, 123, 123, 125, 127, 128, 129, 129, 129, 130, 132, 132, 135, + 135, 139, 139, 141, 141, 141, 144, 146, 146, 146, 146, 148, 149, 149, 149, 149, 149, 150, 153, + 156, 156, 157, 157, 158, 158, 159, 159, 160, 161, 161, 161, 162, 164, 165, 165, 166, 166, 166, + 167, 167, 168, 168, 168, 168, 169, 170, 171, 171, 171, 171, 171, 171, 172, 173, 174, 175, 175, + 176, 177, 177, 177, 177, 177, 177, 178, 179, 180, 180, 180, 180, 180, 181, 182, 183, 184, 186, + 186, 187, 187, 187, 188, 190, 190, 192, 192, 192, 192, 192, 193, 194, 195, 195, 195, 195, 196, + 196, 196, 196, 197, 199, 199, 199, 200, 201, 201, 205, 205, 205, 205, 206, 207, 208, 208, 208, + 208, 209, 209, 209, 210, 211, 212, 215, 215, 215, 215, 216, 217, 217, 217, 217, 218, 219, 220, + 220, 220, 221, 222, 225, 225, 225, 225, 226, 226, 227, 227, 228, 228, 232, 232, 232, 232, 232, + 232, 233, 234, 234, 234, 234, 235, 237, 238, 239, 239, 240, 241, 241, 241, 241, 242, 242, 243, + 243, 244, 245, 245, 246, 247, 247, 247, 249, 249, 250, 251, 252, 252, 253, 253, 254, 255, 255, + 255, 256, 255, 256, 253, 255, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, + 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, + 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, + 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, + 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, + 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, + 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, + 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, + 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, + 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, 255, 256, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_Q: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 32, 32, + 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, + 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, + 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 30, 30, 30, 30, 32, 32, 32, 32, + 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, + 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, + 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, + 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, + 31, 31, 31, 31, 31, 31, 31, 31, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, + 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, + 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 30, 30, + 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, + 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, + 33, 33, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 29, 29, 29, 29, + 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, + 29, 29, 29, 29, 29, 29, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, + 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 17, 17, 17, 17, 17, 17, 15, 15, 15, 15, 15, 15, 13, 13, + 13, 13, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_A_LO: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 255, 226, 226, 226, 226, 225, 222, 222, 224, 219, 219, 219, 217, 217, 218, 218, 217, 217, 219, + 213, 213, 211, 213, 213, 209, 209, 207, 207, 209, 206, 206, 202, 202, 202, 203, 203, 203, 203, + 203, 197, 198, 198, 199, 196, 196, 196, 196, 196, 193, 193, 196, 194, 193, 191, 191, 191, 191, + 189, 186, 186, 188, 188, 172, 172, 184, 182, 184, 181, 182, 181, 181, 179, 179, 177, 176, 174, + 170, 170, 170, 170, 170, 170, 170, 167, 170, 169, 170, 169, 169, 168, 169, 166, 166, 163, 163, + 163, 163, 163, 161, 159, 161, 159, 160, 156, 155, 154, 155, 154, 154, 150, 150, 149, 149, 149, + 151, 150, 149, 147, 149, 146, 144, 142, 147, 143, 144, 139, 139, 139, 138, 138, 136, 136, 138, + 133, 137, 135, 134, 133, 133, 133, 133, 128, 127, 127, 129, 128, 128, 126, 126, 126, 125, 124, + 126, 121, 124, 117, 121, 115, 117, 110, 115, 113, 109, 109, 110, 107, 109, 100, 107, 104, 102, + 101, 99, 99, 99, 99, 100, 98, 99, 96, 98, 95, 96, 91, 95, 94, 92, 89, 89, 89, 91, 89, 89, 88, + 89, 87, 88, 85, 87, 86, 85, 85, 85, 82, 85, 83, 82, 80, 80, 80, 82, 79, 80, 78, 79, 76, 79, 77, + 76, 72, 72, 72, 76, 75, 74, 72, 70, 70, 70, 70, 72, 68, 70, 68, 68, 66, 68, 64, 66, 63, 64, 62, + 63, 61, 62, 60, 61, 60, 60, 52, 52, 52, 57, 56, 56, 56, 55, 53, 51, 51, 51, 49, 51, 50, 48, 48, + 49, 47, 47, 47, 46, 44, 46, 44, 39, 39, 44, 40, 41, 39, 39, 36, 39, 37, 37, 31, 31, 31, 36, 34, + 32, 30, 30, 30, 31, 30, 30, 28, 30, 28, 24, 24, 25, 23, 24, 22, 23, 22, 18, 15, 21, 20, 19, 17, + 16, 14, 14, 14, 14, 14, 15, 14, 14, 13, 14, 12, 13, 4, 12, 9, 10, 7, 6, 4, 2, 2, 2, 2, 2, 2, 4, + 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_B_LO: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 227, 227, 226, 226, 226, 226, 225, 225, 222, 222, 222, 222, 219, 219, 217, 217, 217, 217, 217, + 217, 216, 216, 211, 211, 211, 211, 209, 209, 207, 207, 207, 207, 206, 206, 202, 202, 202, 202, + 202, 202, 197, 197, 197, 197, 197, 197, 197, 197, 196, 196, 193, 193, 193, 193, 193, 193, 191, + 191, 190, 190, 186, 186, 186, 186, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, + 172, 172, 172, 172, 172, 172, 172, 172, 167, 167, 167, 167, 167, 167, 167, 167, 166, 166, 166, + 166, 163, 163, 163, 163, 159, 159, 159, 159, 156, 156, 154, 154, 154, 154, 153, 153, 150, 150, + 149, 149, 149, 149, 147, 147, 146, 146, 142, 142, 142, 142, 140, 140, 139, 139, 138, 138, 136, + 136, 133, 133, 133, 133, 133, 133, 133, 133, 128, 128, 127, 127, 127, 127, 127, 127, 126, 126, + 124, 124, 121, 121, 117, 117, 115, 115, 110, 110, 110, 110, 109, 109, 107, 107, 100, 100, 100, + 100, 100, 100, 100, 100, 99, 99, 98, 98, 96, 96, 95, 95, 91, 91, 91, 91, 91, 91, 89, 89, 89, + 89, 88, 88, 87, 87, 85, 85, 85, 85, 85, 85, 82, 82, 82, 82, 82, 82, 80, 80, 79, 79, 78, 78, 76, + 76, 76, 76, 76, 76, 72, 72, 72, 72, 72, 72, 72, 72, 70, 70, 68, 68, 68, 68, 66, 66, 64, 64, 63, + 63, 62, 62, 61, 61, 60, 60, 60, 60, 57, 57, 52, 52, 52, 52, 52, 52, 52, 52, 51, 51, 49, 49, 49, + 49, 48, 48, 47, 47, 47, 47, 44, 44, 44, 44, 39, 39, 39, 39, 39, 39, 36, 36, 36, 36, 36, 36, 31, + 31, 31, 31, 31, 31, 30, 30, 30, 30, 28, 28, 28, 28, 24, 24, 23, 23, 22, 22, 22, 22, 15, 15, 15, + 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 12, 12, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, + 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_CA_LO: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 3, 3, 3, 5, 4, 4, 4, 6, 6, 7, 8, 8, 9, 9, 11, 11, 11, 12, + 11, 11, 14, 14, 14, 14, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 21, 21, 21, 23, 22, 22, 22, 22, + 24, 24, 24, 24, 27, 27, 28, 28, 29, 29, 29, 29, 31, 32, 32, 32, 32, 32, 33, 33, 34, 34, 35, 35, + 36, 36, 36, 36, 38, 38, 38, 41, 38, 38, 41, 41, 41, 41, 42, 42, 43, 45, 45, 46, 46, 46, 46, 47, + 45, 45, 48, 48, 49, 51, 51, 52, 52, 52, 52, 53, 53, 55, 53, 53, 56, 56, 58, 58, 57, 57, 61, 61, + 59, 59, 62, 62, 62, 62, 62, 64, 64, 64, 64, 66, 67, 67, 68, 68, 69, 69, 69, 69, 69, 72, 72, 72, + 72, 73, 73, 73, 75, 75, 77, 77, 77, 77, 79, 79, 78, 78, 78, 78, 78, 81, 81, 82, 83, 83, 83, 83, + 85, 85, 84, 84, 87, 87, 88, 88, 89, 89, 89, 90, 88, 88, 91, 92, 92, 92, 93, 93, 91, 91, 96, 96, + 96, 98, 97, 97, 97, 99, 100, 100, 100, 100, 101, 101, 102, 102, 103, 104, 105, 105, 107, 107, + 106, 106, 107, 107, 109, 110, 110, 110, 110, 110, 112, 112, 114, 114, 114, 115, 115, 115, 114, + 114, 117, 118, 118, 118, 118, 118, 118, 118, 121, 122, 121, 121, 123, 123, 124, 124, 124, 124, + 125, 125, 125, 128, 128, 128, 127, 127, 127, 131, 131, 131, 131, 133, 133, 133, 132, 132, 133, + 133, 135, 135, 135, 135, 135, 140, 140, 141, 140, 140, 140, 142, 142, 142, 143, 143, 145, 145, + 145, 145, 146, 146, 147, 147, 147, 148, 149, 149, 151, 152, 152, 152, 151, 151, 154, 154, 153, + 153, 154, 155, 156, 156, 156, 156, 157, 157, 157, 159, 159, 161, 160, 160, 161, 163, 164, 164, + 163, 163, 166, 166, 163, 163, 163, 168, 169, 169, 169, 169, 170, 171, 171, 172, 172, 172, 172, + 172, 172, 175, 174, 174, 176, 176, 177, 177, 178, 179, 178, 178, 178, 181, 181, 181, 182, 182, + 183, 183, 183, 183, 183, 184, 186, 186, 186, 188, 189, 189, 189, 190, 191, 191, 192, 192, 193, + 193, 193, 193, 196, 196, 195, 195, 195, 198, 198, 199, 199, 200, 200, 200, 201, 201, 203, 203, + 204, 204, 204, 204, 205, 206, 206, 206, 207, 208, 209, 209, 209, 209, 209, 210, 210, 210, 211, + 213, 213, 213, 212, 212, 215, 215, 217, 217, 217, 217, 217, 218, 218, 220, 219, 219, 219, 219, + 221, 221, 221, 221, 221, 221, 222, 222, 223, 223, 226, 227, 223, 223, 228, 228, 226, 226, 231, + 231, 230, 230, 230, 233, 233, 234, 236, 236, 236, 237, 237, 237, 239, 239, 239, 239, 240, 240, + 242, 242, 241, 241, 241, 241, 241, 241, 241, 241, 247, 247, 247, 247, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_CB_LO: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 6, 6, 7, 7, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, + 14, 14, 14, 14, 16, 16, 16, 16, 17, 17, 17, 17, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 24, 24, + 24, 24, 27, 27, 29, 29, 29, 29, 29, 29, 32, 32, 32, 32, 32, 32, 33, 33, 34, 34, 36, 36, 36, 36, + 36, 36, 38, 38, 38, 38, 38, 38, 41, 41, 41, 41, 42, 42, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, + 48, 48, 51, 51, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 56, 56, 57, 57, 57, 57, 59, 59, 59, 59, + 62, 62, 64, 64, 64, 64, 64, 64, 66, 66, 67, 67, 68, 68, 69, 69, 69, 69, 72, 72, 72, 72, 73, 73, + 73, 73, 76, 76, 77, 77, 77, 77, 78, 78, 78, 78, 80, 80, 81, 81, 82, 82, 83, 83, 83, 83, 84, 84, + 84, 84, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 91, 91, 91, 91, 91, 91, 91, 91, 96, 96, 97, 97, + 97, 97, 100, 100, 100, 100, 101, 101, 101, 101, 102, 102, 105, 105, 105, 105, 106, 106, 106, + 106, 107, 107, 110, 110, 110, 110, 110, 110, 112, 112, 114, 114, 114, 114, 114, 114, 114, 114, + 118, 118, 118, 118, 118, 118, 120, 120, 121, 121, 121, 121, 124, 124, 124, 124, 124, 124, 127, + 127, 127, 127, 127, 127, 127, 127, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 133, 133, + 135, 135, 135, 135, 140, 140, 140, 140, 140, 140, 142, 142, 142, 142, 143, 143, 145, 145, 145, + 145, 146, 146, 147, 147, 148, 148, 150, 150, 151, 151, 151, 151, 151, 151, 153, 153, 153, 153, + 155, 155, 156, 156, 157, 157, 157, 157, 159, 159, 160, 160, 160, 160, 163, 163, 163, 163, 163, + 163, 163, 163, 163, 163, 168, 168, 169, 169, 170, 170, 171, 171, 172, 172, 172, 172, 172, 172, + 174, 174, 174, 174, 176, 176, 177, 177, 178, 178, 178, 178, 181, 181, 181, 181, 182, 182, 183, + 183, 183, 183, 184, 184, 186, 186, 188, 188, 189, 189, 190, 190, 191, 191, 192, 192, 193, 193, + 193, 193, 195, 195, 195, 195, 198, 198, 199, 199, 200, 200, 201, 201, 201, 201, 203, 203, 204, + 204, 204, 204, 206, 206, 206, 206, 209, 209, 209, 209, 209, 209, 210, 210, 210, 210, 212, 212, + 212, 212, 212, 212, 215, 215, 217, 217, 217, 217, 218, 218, 219, 219, 219, 219, 221, 221, 221, + 221, 222, 222, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223, 226, 226, 226, 226, 230, 230, + 230, 230, 233, 233, 234, 234, 236, 236, 237, 237, 237, 237, 239, 239, 240, 240, 241, 241, 241, + 241, 241, 241, 241, 241, 244, 244, 245, 245, 247, 247, 247, 247, 247, 247, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_Q_LO: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, + 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_SDIV: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 63, 63, 63, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 63, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 63, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 63, 31, 31, 31, 31, 31, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 15, 31, 15, 31, 15, 31, 15, 15, 15, 31, 15, 31, 15, + 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 7, 15, 15, 15, 15, 15, 7, + 15, 7, 15, 7, 15, 7, 7, 7, 7, 7, 7, 3, 15, 7, 7, 7, 7, 7, 7, 3, 3, 3, 7, 3, 3, 1, +]; +#[allow(dead_code)] +pub const SHRUNKEN_PZ_S2: [u16; SHRUNKEN_PZ_NSTEPS] = [ + 1, 15, 15, 31, 15, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 63, 63, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 63, 31, 31, 31, 31, 63, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 63, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 63, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 63, 63, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 63, + 31, 63, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, + 31, 31, 31, 31, 15, 31, 31, 31, 31, 31, 15, 31, 15, 31, 15, 31, 15, 15, 15, 15, 15, 15, 15, 15, + 15, 15, 7, 15, 15, 15, 15, 15, 7, 15, 7, 15, 7, 7, 7, 15, 7, 7, 7, 15, 3, 7, 7, 7, 7, 7, +]; + +#[derive(Clone)] +struct ThinSchedule { + widths: Vec<[u16; 5]>, +} + +static THIN_SCHEDULE: OnceLock = OnceLock::new(); + +const THIN_CACHE_MAGIC: &[u8; 8] = b"TMTHIN01"; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct ThinScheduleConfig { + train: usize, + margin: usize, + validate: usize, + repair_margin: usize, + seed: u64, +} + +fn env_usize(name: &str, default: usize) -> usize { + std::env::var(name) + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(default) +} + +fn trailmix_q_cap() -> Option { + std::env::var("TRAILMIX_Q_CAP") + .ok() + .and_then(|s| s.parse::().ok()) + .map(|cap| cap.max(1)) +} + +/// Selective per-step peak target (see `trailmix_q_width_step` in the state +/// machine). When set, the support/repair model below MUST mirror the circuit's +/// per-step q budget, or the tail-nonce search predicts the wrong misses. +fn trailmix_q_target() -> Option { + std::env::var("TRAILMIX_Q_TARGET") + .ok() + .and_then(|s| s.parse::().ok()) +} + +fn sign_parity_q_reuse_bonus() -> u16 { + if std::env::var("TRAILMIX_SIGN_PARITY_Q_REUSE") + .ok() + .as_deref() + == Some("1") + { + assert!( + matches!(trailmix_q_target(), Some(683 | 684)), + "TRAILMIX_SIGN_PARITY_Q_REUSE support model is sealed to Q_TARGET=683/684" + ); + assert_ne!( + std::env::var("TRAILMIX_PASSENGER_TOP_Q_REUSE") + .ok() + .as_deref(), + Some("1"), + "passenger-top reuse is forbidden without exact lambda canonicalization" + ); + // The reclaimed sign lane reduces the physical live set instead of + // widening the target-specific quotient budget. + 0 + } else { + assert_ne!( + std::env::var("TRAILMIX_PASSENGER_TOP_Q_REUSE") + .ok() + .as_deref(), + Some("1"), + "passenger-top q reuse requires sign/parity q reuse" + ); + 0 + } +} + +fn env_u64(name: &str, default: u64) -> u64 { + std::env::var(name) + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(default) +} + +fn thin_schedule_config() -> ThinScheduleConfig { + ThinScheduleConfig { + train: env_usize("TRAILMIX_THIN_TRAIN", 65_536).max(1), + margin: env_usize("TRAILMIX_THIN_MARGIN", 4), + validate: env_usize("TRAILMIX_THIN_VALIDATE", 0), + repair_margin: env_usize("TRAILMIX_THIN_REPAIR_MARGIN", 0), + seed: env_u64("TRAILMIX_THIN_SEED", 0x5eed_5eed_c0de_2026), + } +} + +fn thin_schedule_cache_bytes(schedule: &ThinSchedule, config: ThinScheduleConfig) -> Vec { + let mut bytes = Vec::with_capacity(52 + SHRUNKEN_PZ_NSTEPS * 10); + bytes.extend_from_slice(THIN_CACHE_MAGIC); + bytes.extend_from_slice(&(SHRUNKEN_PZ_NSTEPS as u32).to_le_bytes()); + for value in [ + config.train as u64, + config.margin as u64, + config.validate as u64, + config.repair_margin as u64, + config.seed, + ] { + bytes.extend_from_slice(&value.to_le_bytes()); + } + for row in &schedule.widths { + for width in row { + bytes.extend_from_slice(&width.to_le_bytes()); + } + } + bytes +} + +fn write_thin_schedule_cache( + path: &str, + schedule: &ThinSchedule, + config: ThinScheduleConfig, +) { + use std::io::Write; + + let bytes = thin_schedule_cache_bytes(schedule, config); + let mut file = std::fs::OpenOptions::new() + .write(true) + .create_new(true) + .open(path) + .unwrap_or_else(|error| panic!("cannot create thin-schedule cache {path}: {error}")); + file.write_all(&bytes) + .unwrap_or_else(|error| panic!("cannot write thin-schedule cache {path}: {error}")); + file.sync_all() + .unwrap_or_else(|error| panic!("cannot sync thin-schedule cache {path}: {error}")); +} + +fn load_thin_schedule_cache(path: &str, expected: ThinScheduleConfig) -> ThinSchedule { + let bytes = std::fs::read(path) + .unwrap_or_else(|error| panic!("cannot read thin-schedule cache {path}: {error}")); + let expected_len = 52 + SHRUNKEN_PZ_NSTEPS * 10; + assert_eq!( + bytes.len(), + expected_len, + "thin-schedule cache has unexpected length" + ); + assert_eq!(&bytes[..8], THIN_CACHE_MAGIC, "thin-schedule cache magic"); + let mut cursor = 8usize; + let take_u32 = |bytes: &[u8], cursor: &mut usize| { + let value = u32::from_le_bytes(bytes[*cursor..*cursor + 4].try_into().unwrap()); + *cursor += 4; + value + }; + let take_u64 = |bytes: &[u8], cursor: &mut usize| { + let value = u64::from_le_bytes(bytes[*cursor..*cursor + 8].try_into().unwrap()); + *cursor += 8; + value + }; + assert_eq!( + take_u32(&bytes, &mut cursor) as usize, + SHRUNKEN_PZ_NSTEPS, + "thin-schedule cache step count" + ); + let found = ThinScheduleConfig { + train: take_u64(&bytes, &mut cursor).try_into().unwrap(), + margin: take_u64(&bytes, &mut cursor).try_into().unwrap(), + validate: take_u64(&bytes, &mut cursor).try_into().unwrap(), + repair_margin: take_u64(&bytes, &mut cursor).try_into().unwrap(), + seed: take_u64(&bytes, &mut cursor), + }; + assert_eq!(found, expected, "thin-schedule cache configuration"); + + let mut widths = Vec::with_capacity(SHRUNKEN_PZ_NSTEPS); + for step in 0..SHRUNKEN_PZ_NSTEPS { + let mut row = [0u16; 5]; + let universal = [ + SHRUNKEN_PZ_A[step], + SHRUNKEN_PZ_B[step], + SHRUNKEN_PZ_CA[step], + SHRUNKEN_PZ_CB[step], + SHRUNKEN_PZ_Q[step], + ]; + for register in 0..5 { + row[register] = + u16::from_le_bytes(bytes[cursor..cursor + 2].try_into().unwrap()); + cursor += 2; + assert!( + (1..=universal[register]).contains(&row[register]), + "thin-schedule cache row {step} register {register} is out of range" + ); + } + widths.push(row); + } + assert_eq!(cursor, bytes.len()); + ThinSchedule { widths } +} + +fn thin_schedule_enabled() -> bool { + std::env::var("TRAILMIX_THIN_SCHEDULE").ok().as_deref() == Some("1") +} + +fn thin_clz_window() -> usize { + env_usize("TRAILMIX_THIN_CLZ_WINDOW", 80).max(1) +} + +fn thin_lo(width: u16) -> usize { + let width = width.max(1) as usize; + width + .saturating_sub(thin_clz_window()) + .min(width.saturating_sub(1)) +} + +fn thin_lo_giveback(width: u16, env_name: &str) -> usize { + thin_lo(width).saturating_sub(env_usize(env_name, 0)) +} + +#[inline] +fn bl(x: U512) -> usize { + if x.is_zero() { + 0 + } else { + 512 - x.leading_zeros() as usize + } +} + +#[inline] +fn blq(q: u128) -> usize { + 128 - (q | 1).leading_zeros() as usize +} + +#[inline] +fn secp_p() -> U512 { + (U512::from(1u64) << 256) - (U512::from(1u64) << 32) - U512::from(977u64) +} + +fn rng_next(state: &mut u64) -> u64 { + let mut x = *state; + x ^= x << 7; + x ^= x >> 9; + x = x.wrapping_mul(0x9E37_79B9_7F4A_7C15); + x ^= x >> 32; + *state = x; + x +} + +fn rand_x(state: &mut u64, p: U512) -> U512 { + loop { + let limbs = [ + rng_next(state), + rng_next(state), + rng_next(state), + rng_next(state), + 0, + 0, + 0, + 0, + ]; + let x = U512::from_limbs(limbs); + if !x.is_zero() && x < p { + return x; + } + } +} + +fn record_sample(x_orig: U512, p: U512, half: U512, maxw: &mut [[u16; 5]]) { + let one = U512::from(1u64); + let x = if x_orig > half { p - x_orig } else { x_orig }; + let mut a = p; + let mut b = x; + let mut ca = U512::ZERO; + let mut cb = one; + let mut q: u128 = 0; + + for row in maxw.iter_mut().take(SHRUNKEN_PZ_NSTEPS) { + if a.is_zero() && b == one && q == 0 { + // The substeps are gated off after convergence, but these registers + // are still live and must not be resized below their held values. + let held = [0, 1, bl(ca), bl(cb), 1]; + for r in 0..5 { + row[r] = row[r].max(held[r] as u16); + } + continue; + } + + let (mut wa, mut wb, mut wca, mut wcb, mut wq) = + (bl(a), bl(b), bl(ca), bl(cb), blq(q)); + + // MULTIPLY (A= 0 { a < (b << (s as usize)) } else { false }; + if offset { + s -= 1; + } + if s >= 0 { + let bsh = b << (s as usize); + wb = wb.max(bl(bsh)); + if a >= bsh { + a -= bsh; + q ^= 1u128 << (s as u32); + wq = wq.max(blq(q)); + } + wa = wa.max(bl(a)); + } + } + + if q == 0 && !a.is_zero() { + std::mem::swap(&mut a, &mut b); + std::mem::swap(&mut ca, &mut cb); + } + + let held = [wa, wb, wca, wcb, wq]; + for r in 0..5 { + row[r] = row[r].max(held[r].max(1) as u16); + } + } +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct ThinRepairCoordinate { + pub step: usize, + pub register: &'static str, + pub observed_width: usize, + pub available_width: usize, + pub universal_width: usize, +} + +pub const Q949_REPAIRED_ROW: usize = 370; +pub const Q949_TARGET_SUM: usize = 683; +pub const Q949_CLZ_WINDOW: usize = 78; +pub const Q949_ROW_370_EFFECTIVE_PACK: [usize; 5] = [78, 78, 255, 255, 17]; +pub const Q949_ROW_370_EFFECTIVE_LOS: [usize; 5] = [0, 0, 177, 177, 1]; + +fn q949_route_requested() -> bool { + std::env::var("LOWQ_Q949_AFFINE_COUNTER").ok().as_deref() == Some("1") +} + +#[must_use] +pub fn q949_robust_symmetric_schedule_requested() -> bool { + std::env::var("LOWQ_Q949_ROBUST_SYMMETRIC_SCHEDULE") + .ok() + .as_deref() + == Some("1") +} + +struct Q949EffectiveSchedule { + widths: [[usize; 5]; SHRUNKEN_PZ_NSTEPS], + lows: [[usize; 5]; SHRUNKEN_PZ_NSTEPS], +} + +static Q949_EFFECTIVE_SCHEDULE: OnceLock = OnceLock::new(); + +fn q949_effective_schedule() -> &'static Q949EffectiveSchedule { + Q949_EFFECTIVE_SCHEDULE.get_or_init(|| { + assert!( + q949_route_requested(), + "Q949 effective schedule requires the Q949 route" + ); + assert_eq!( + trailmix_q_target(), + Some(Q949_TARGET_SUM), + "Q949 target drift" + ); + assert_eq!(trailmix_q_cap(), Some(99), "Q949 q cap drift"); + assert!( + std::env::var_os("TRAILMIX_AB_CAP").is_none() + && std::env::var_os("TRAILMIX_CACB_CAP").is_none(), + "Q949 effective widths forbid register caps" + ); + + if q949_robust_symmetric_schedule_requested() { + use super::q949_robust_envelope::{ + q949_robust_clz_lows, q949_robust_envelope_training_check, + q949_robust_pair_symmetric_widths, Q949_ROBUST_ROWS, + Q949_ROBUST_TARGET_SUM, + }; + + assert_eq!( + Q949_ROBUST_ROWS, SHRUNKEN_PZ_NSTEPS, + "Q949 robust row count drift" + ); + assert_eq!( + Q949_ROBUST_TARGET_SUM, Q949_TARGET_SUM, + "Q949 robust target drift" + ); + let training = q949_robust_envelope_training_check(); + assert_eq!(training.rows_checked, SHRUNKEN_PZ_NSTEPS); + let mut widths = [[0usize; 5]; SHRUNKEN_PZ_NSTEPS]; + let mut lows = [[0usize; 5]; SHRUNKEN_PZ_NSTEPS]; + for row in 0..SHRUNKEN_PZ_NSTEPS { + widths[row] = q949_robust_pair_symmetric_widths(row); + lows[row] = q949_robust_clz_lows(row); + assert_eq!(widths[row][0], widths[row][1]); + assert_eq!(widths[row][2], widths[row][3]); + assert!( + widths[row].iter().sum::() <= Q949_TARGET_SUM, + "Q949 robust row {row} exceeds target: {:?}", + widths[row] + ); + for register in 0..5 { + assert!( + lows[row][register] < widths[row][register], + "Q949 robust row {row} low exceeds register {register}" + ); + } + } + return Q949EffectiveSchedule { widths, lows }; + } + + let mut widths = [[0usize; 5]; SHRUNKEN_PZ_NSTEPS]; + let mut lows = [[0usize; 5]; SHRUNKEN_PZ_NSTEPS]; + for row in 0..SHRUNKEN_PZ_NSTEPS { + let (wa, wb, wca, wcb, wq) = reg_widths(row); + let ab = wa.max(wb).max(1); + let cacb = wca.max(wcb).max(1); + let q_budget = Q949_TARGET_SUM + .saturating_sub(2 * ab + 2 * cacb) + .max(1); + let q = wq.max(1).min(q_budget).min(99); + widths[row] = [ab, ab, cacb, cacb, q]; + if row == Q949_REPAIRED_ROW { + widths[row] = Q949_ROW_370_EFFECTIVE_PACK; + } + assert!( + widths[row].iter().sum::() <= Q949_TARGET_SUM, + "Q949 row {row} exceeds target: {:?}", + widths[row] + ); + + let (a, b, ca, cb, q) = reg_los(row); + lows[row] = [a, b, ca, cb, q]; + if row == Q949_REPAIRED_ROW { + lows[row] = Q949_ROW_370_EFFECTIVE_LOS; + } + for register in 0..5 { + lows[row][register] = + lows[row][register].min(widths[row][register].saturating_sub(1)); + } + } + + assert_eq!( + widths[Q949_REPAIRED_ROW], + Q949_ROW_370_EFFECTIVE_PACK + ); + assert_eq!( + widths[Q949_REPAIRED_ROW].iter().sum::(), + Q949_TARGET_SUM + ); + assert_eq!(lows[Q949_REPAIRED_ROW], Q949_ROW_370_EFFECTIVE_LOS); + for register in 0..4 { + assert_eq!( + widths[Q949_REPAIRED_ROW][register] + - lows[Q949_REPAIRED_ROW][register], + Q949_CLZ_WINDOW + ); + } + + Q949EffectiveSchedule { widths, lows } + }) +} + +/// Effective physical register pack for the sealed Q949 route. This is shared +/// by circuit construction and the support census so the exceptional row cannot +/// silently diverge between production and proof code. +#[must_use] +pub fn q949_effective_reg_widths(i: usize) -> [usize; 5] { + let row = i.min(SHRUNKEN_PZ_NSTEPS - 1); + q949_effective_schedule().widths[row] +} + +/// CLZ lows paired with [`q949_effective_reg_widths`]. Row 370 narrows both +/// shared magnitude classes, so its cofactor lows move to keep every arithmetic +/// CLZ scan at exactly 78 lanes. +#[must_use] +pub fn q949_effective_reg_los(i: usize) -> [usize; 5] { + let row = i.min(SHRUNKEN_PZ_NSTEPS - 1); + q949_effective_schedule().lows[row] +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q949TraceDirection { + Forward, + Reverse, +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q949WidthPhase { + Entry, + Transient, + PostSwap, + Boundary, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949WidthObservation { + pub direction: Q949TraceDirection, + pub phase: Q949WidthPhase, + pub row: usize, + pub required_widths: [usize; 5], + pub available_widths: [usize; 5], +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949WidthMiss { + pub direction: Q949TraceDirection, + pub phase: Q949WidthPhase, + pub row: usize, + pub register: &'static str, + pub observed_width: usize, + pub available_width: usize, + pub observed_widths: [usize; 5], + pub available_widths: [usize; 5], +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949ClzWindowObservation { + pub direction: Q949TraceDirection, + pub row: usize, + pub observed_widths: [usize; 4], + pub lows: [usize; 4], + pub available_widths: [usize; 4], +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949ClzWindowMiss { + pub direction: Q949TraceDirection, + pub row: usize, + pub register: &'static str, + pub observed_width: usize, + pub low: usize, + pub available_width: usize, +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q949NarrowCompareSubstep { + DivisionOffset, + MultiplyOffsetCleanup, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949NarrowCompareMiss { + pub row: usize, + pub substep: Q949NarrowCompareSubstep, + pub low: usize, + pub lhs_limbs: [u64; 8], + pub rhs_limbs: [u64; 8], + pub expected_lt: bool, + pub full_lt: bool, + pub window_lt: bool, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945HostBoundaryState { + pub a_limbs: [u64; 8], + pub b_limbs: [u64; 8], + pub ca_limbs: [u64; 8], + pub cb_limbs: [u64; 8], + pub q: u128, + pub done: bool, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945HclzHostObservation { + pub direction: Q949TraceDirection, + pub row: usize, + pub substep: Q945Substep, + pub form: Q945HclzForm, + pub host: Q945Host, + pub entry_value: bool, + pub exit_value: bool, + pub boundary: Q945HostBoundaryState, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945CarryHostObservation { + pub direction: Q949TraceDirection, + pub row: usize, + pub substep: Q945Substep, + pub host: Q945Host, + pub entry_value: bool, + pub exit_value: bool, + pub active: bool, + pub low: usize, + pub expected_lt: bool, + pub full_lt: bool, + pub route_lt: bool, + pub boundary_reconstructed: bool, + pub q24_noncarry_touches: usize, + pub boundary: Q945HostBoundaryState, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q944GateCallObservation { + pub direction: Q949TraceDirection, + pub row: usize, + pub substep: Q945Substep, + pub done: bool, + pub full_less: bool, + pub gate_predicate: bool, + pub entry: Q945HostBoundaryState, + pub exit: Q945HostBoundaryState, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q949AffineTraceCertificate { + pub rows_forward_checked: usize, + pub rows_backward_checked: usize, + pub row_bounds_checked: usize, + pub entry_width_checks: usize, + pub transient_width_checks: usize, + pub post_swap_width_checks: usize, + pub boundary_width_checks: usize, + pub entry_width_misses: usize, + pub transient_width_misses: usize, + pub post_swap_width_misses: usize, + pub boundary_width_misses: usize, + pub width_misses: usize, + pub clz_window_checks: usize, + pub clz_window_misses: usize, + pub first_width_miss: Option, + pub first_clz_window_miss: Option, + pub width_observations: Vec, + pub clz_window_observations: Vec, + pub width_miss_coordinates: Vec, + pub clz_window_miss_coordinates: Vec, + pub narrow_compare_checks: usize, + pub narrow_compare_misses: usize, + pub division_offset_compare_checks: usize, + pub division_offset_compare_misses: usize, + pub multiply_offset_cleanup_compare_checks: usize, + pub multiply_offset_cleanup_compare_misses: usize, + pub first_narrow_compare_miss: Option, + pub narrow_compare_miss_coordinates: Vec, + pub q945_hclz_host_observations: Vec, + pub q945_carry_host_observations: Vec, + pub q944_gate_call_observations: Vec, + pub first_terminal_row: usize, + pub terminal_rows_checked: usize, + pub terminal_full_ca_checks: usize, + pub reverse_row_380_relation_checks: usize, + pub reverse_row_380_active_checks: usize, + pub reverse_row_380_inactive_checks: usize, + pub reverse_row_380_relation_failures: usize, + pub max_counter: usize, +} + +fn q949_record_narrow_compare( + checks: &mut [usize; 2], + misses: &mut Vec, + row: usize, + substep: Q949NarrowCompareSubstep, + low: usize, + lhs: U512, + rhs: U512, + expected_lt: bool, +) { + let substep_index = match substep { + Q949NarrowCompareSubstep::DivisionOffset => 0, + Q949NarrowCompareSubstep::MultiplyOffsetCleanup => 1, + }; + checks[substep_index] += 1; + let full_lt = lhs < rhs; + let window_lt = (lhs >> low) < (rhs >> low); + if full_lt != expected_lt || window_lt != expected_lt { + misses.push(Q949NarrowCompareMiss { + row, + substep, + low, + lhs_limbs: *lhs.as_limbs(), + rhs_limbs: *rhs.as_limbs(), + expected_lt, + full_lt, + window_lt, + }); + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct Q949TraceState { + a: U512, + b: U512, + ca: U512, + cb: U512, + q: u128, +} + +impl Q949TraceState { + fn widths(self) -> [usize; 5] { + [bl(self.a), bl(self.b), bl(self.ca), bl(self.cb), blq(self.q)] + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +struct Q945RowCallBoundaries { + done: bool, + row_entry: Q949TraceState, + after_multiply: Q949TraceState, + after_division: Q949TraceState, + division_update: Q949TraceState, + division_compare: Q949TraceState, + division_parity: Q949TraceState, + division_active: bool, + division_expected_lt: bool, + division_reconstructed: bool, + multiply_update: Q949TraceState, + multiply_compare: Q949TraceState, + multiply_parity: Q949TraceState, + multiply_active: bool, + multiply_expected_lt: bool, +} + +fn q944_record_gate_calls( + direction: Q949TraceDirection, + row: usize, + boundaries: Q945RowCallBoundaries, + calls: &mut Vec, +) { + if !Q945_NON_HCLZ_ROWS.contains(&row) { + return; + } + for substep in Q945Substep::ALL { + let (entry, exit) = match (direction, substep) { + (Q949TraceDirection::Forward, Q945Substep::Multiply) => { + (boundaries.row_entry, boundaries.after_multiply) + } + (Q949TraceDirection::Forward, Q945Substep::Division) => { + (boundaries.after_multiply, boundaries.after_division) + } + (Q949TraceDirection::Reverse, Q945Substep::Division) => { + (boundaries.after_division, boundaries.after_multiply) + } + (Q949TraceDirection::Reverse, Q945Substep::Multiply) => { + (boundaries.after_multiply, boundaries.row_entry) + } + }; + let full_less = match substep { + Q945Substep::Division => entry.ca < entry.cb, + Q945Substep::Multiply => entry.a < entry.b, + }; + calls.push(Q944GateCallObservation { + direction, + row, + substep, + done: boundaries.done, + full_less, + gate_predicate: !boundaries.done && full_less, + entry: q945_boundary_state(entry, boundaries.done), + exit: q945_boundary_state(exit, boundaries.done), + }); + } +} + +fn q945_boundary_state(state: Q949TraceState, done: bool) -> Q945HostBoundaryState { + Q945HostBoundaryState { + a_limbs: *state.a.as_limbs(), + b_limbs: *state.b.as_limbs(), + ca_limbs: *state.ca.as_limbs(), + cb_limbs: *state.cb.as_limbs(), + q: state.q, + done, + } +} + +fn q945_host_value(state: Q949TraceState, done: bool, host: Q945Host) -> bool { + let one = U512::from(1u64); + match host.register { + Q945StateRegister::A => ((state.a >> host.bit) & one) == one, + Q945StateRegister::B => ((state.b >> host.bit) & one) == one, + Q945StateRegister::Ca => ((state.ca >> host.bit) & one) == one, + Q945StateRegister::Cb => ((state.cb >> host.bit) & one) == one, + Q945StateRegister::Q => { + assert!(host.bit < u128::BITS as usize, "Q945 q host exceeds u128 trace"); + ((state.q >> host.bit) & 1) != 0 + } + Q945StateRegister::CounterOff => { + assert_eq!(host.bit, 0, "Q945 counter/off host bit drift"); + done + } + } +} + +fn q945_record_host_support( + direction: Q949TraceDirection, + row: usize, + lows: [usize; 5], + boundaries: Q945RowCallBoundaries, + hclz: &mut Vec, + carries: &mut Vec, +) { + if Q945_HCLZ_ROWS.contains(&row) { + for substep in Q945Substep::ALL { + for form in Q945HclzForm::ALL { + let host = match q945_hclz_route(row, substep, form) { + Q945HclzRoute::Borrow(host) => host, + Q945HclzRoute::Direct => continue, + }; + let state = match (substep, form) { + (Q945Substep::Division, Q945HclzForm::Update) => { + boundaries.division_update + } + (Q945Substep::Division, Q945HclzForm::Parity) => { + boundaries.division_parity + } + (Q945Substep::Multiply, Q945HclzForm::Update) => { + boundaries.multiply_update + } + (Q945Substep::Multiply, Q945HclzForm::Parity) => { + boundaries.multiply_parity + } + }; + let entry_value = q945_host_value(state, boundaries.done, host); + hclz.push(Q945HclzHostObservation { + direction, + row, + substep, + form, + host, + entry_value, + // The gate-level borrowed-transcript proof establishes this + // round trip independently; this trace binds its input value. + exit_value: entry_value, + boundary: q945_boundary_state(state, boundaries.done), + }); + } + } + } + + if !Q945_NON_HCLZ_ROWS.contains(&row) { + return; + } + for substep in Q945Substep::ALL { + let (state, active, expected_lt, reconstructed, low) = match substep { + Q945Substep::Division => ( + boundaries.division_compare, + boundaries.division_active, + boundaries.division_expected_lt, + boundaries.division_reconstructed, + lows[0], + ), + Q945Substep::Multiply => ( + boundaries.multiply_compare, + boundaries.multiply_active, + boundaries.multiply_expected_lt, + true, + lows[2], + ), + }; + let (host, route_lt) = match q945_carry_route(row, substep) { + Q945CarryRoute::Borrow(host) => { + let window_lt = match substep { + Q945Substep::Division => (state.a >> low) < (state.b >> low), + Q945Substep::Multiply => (state.ca >> low) < (state.cb >> low), + }; + (host, active && window_lt) + } + Q945CarryRoute::Row364DivisionLower80 { carry, not_gate } => { + assert_eq!((row, substep), (364, Q945Substep::Division)); + assert_eq!(carry, Q945Host::new(Q945StateRegister::B, 80)); + assert_eq!(not_gate, Q945Host::new(Q945StateRegister::A, 80)); + let mask = (U512::from(1u64) << 80) - U512::from(1u64); + let a_top = q945_host_value(state, boundaries.done, not_gate); + let lower_lt = (state.a & mask) < (state.b & mask); + (carry, active && !a_top && lower_lt) + } + }; + let full_lt = match substep { + Q945Substep::Division => active && state.a < state.b, + Q945Substep::Multiply => active && state.ca < state.cb, + }; + let entry_value = q945_host_value(state, boundaries.done, host); + carries.push(Q945CarryHostObservation { + direction, + row, + substep, + host, + entry_value, + // The borrowed comparator proof establishes carry restoration for + // every clean input; this trace binds that clean input per call. + exit_value: entry_value, + active, + low, + expected_lt: active && expected_lt, + full_lt, + route_lt, + boundary_reconstructed: reconstructed, + q24_noncarry_touches: 0, + boundary: q945_boundary_state(state, boundaries.done), + }); + } +} + +#[derive(Default)] +struct Q949WidthCensus { + entry_width_checks: usize, + transient_width_checks: usize, + post_swap_width_checks: usize, + boundary_width_checks: usize, + entry_width_misses: usize, + transient_width_misses: usize, + post_swap_width_misses: usize, + boundary_width_misses: usize, + clz_window_checks: usize, + clz_window_misses: usize, + width_observations: Vec, + clz_window_observations: Vec, + width_miss_coordinates: Vec, + clz_window_miss_coordinates: Vec, +} + +impl Q949WidthCensus { + fn record_widths( + &mut self, + direction: Q949TraceDirection, + phase: Q949WidthPhase, + row: usize, + observed: [usize; 5], + available: [usize; 5], + ) { + const REGISTERS: [&str; 5] = ["A", "B", "ca", "cb", "q"]; + let required = observed.map(|width| width.max(1)); + self.width_observations.push(Q949WidthObservation { + direction, + phase, + row, + required_widths: required, + available_widths: available, + }); + for register in 0..5 { + match phase { + Q949WidthPhase::Entry => self.entry_width_checks += 1, + Q949WidthPhase::Transient => self.transient_width_checks += 1, + Q949WidthPhase::PostSwap => self.post_swap_width_checks += 1, + Q949WidthPhase::Boundary => self.boundary_width_checks += 1, + } + let observed_width = required[register]; + if observed_width <= available[register] { + continue; + } + match phase { + Q949WidthPhase::Entry => self.entry_width_misses += 1, + Q949WidthPhase::Transient => self.transient_width_misses += 1, + Q949WidthPhase::PostSwap => self.post_swap_width_misses += 1, + Q949WidthPhase::Boundary => self.boundary_width_misses += 1, + } + self.width_miss_coordinates.push(Q949WidthMiss { + direction, + phase, + row, + register: REGISTERS[register], + observed_width, + available_width: available[register], + observed_widths: required, + available_widths: available, + }); + } + } + + fn record_clz_windows( + &mut self, + direction: Q949TraceDirection, + row: usize, + observed: [usize; 4], + lows: [usize; 5], + available: [usize; 5], + ) { + const REGISTERS: [&str; 4] = ["A", "B", "ca", "cb"]; + self.clz_window_observations + .push(Q949ClzWindowObservation { + direction, + row, + observed_widths: observed, + lows: [lows[0], lows[1], lows[2], lows[3]], + available_widths: [ + available[0], + available[1], + available[2], + available[3], + ], + }); + for register in 0..4 { + self.clz_window_checks += 1; + let observed_width = observed[register]; + if observed_width == 0 || observed_width > lows[register] { + continue; + } + self.clz_window_misses += 1; + self.clz_window_miss_coordinates.push(Q949ClzWindowMiss { + direction, + row, + register: REGISTERS[register], + observed_width, + low: lows[register], + available_width: available[register], + }); + } + } + + fn width_misses(&self) -> usize { + self.entry_width_misses + + self.transient_width_misses + + self.post_swap_width_misses + + self.boundary_width_misses + } +} + +/// Exact ideal-state differential for one factor admitted by the configured +/// support route. The arithmetic state follows the canonical explicit-counter +/// transition. In lockstep, the affine route replaces only the terminal count +/// by ca_low=0x2f XOR C and done=[C!=0]. Reverse rows replay the exact forward +/// transcript after first applying the specified affine decrement/mode toggle. +#[doc(hidden)] +pub fn q949_affine_trace_certificate_u256(value: U256) -> Q949AffineTraceCertificate { + const P_LOW: usize = 0x2f; + assert!(!value.is_zero(), "Q949 trace requires a nonzero field factor"); + let p = secp_p(); + let one = U512::from(1u64); + let original = widen_u256(value); + assert!(original < p, "Q949 trace factor is outside the base field"); + let half = p >> 1; + let x = if original > half { p - original } else { original }; + let mut state = Q949TraceState { + a: p, + b: x, + ca: U512::ZERO, + cb: one, + q: 0, + }; + let mut transcript = Vec::with_capacity(SHRUNKEN_PZ_NSTEPS + 1); + transcript.push(state); + let mut after_multiply_transcript = Vec::with_capacity(SHRUNKEN_PZ_NSTEPS); + let mut q945_call_boundaries = Vec::with_capacity(SHRUNKEN_PZ_NSTEPS); + let mut q945_hclz_host_observations = Vec::new(); + let mut q945_carry_host_observations = Vec::new(); + let mut q944_gate_call_observations = Vec::new(); + let mut reverse_clz_inputs = Vec::with_capacity(SHRUNKEN_PZ_NSTEPS); + let mut census = Q949WidthCensus::default(); + census + .width_observations + .reserve(3 * SHRUNKEN_PZ_NSTEPS + 2 * (SHRUNKEN_PZ_NSTEPS - 1)); + census + .clz_window_observations + .reserve(2 * SHRUNKEN_PZ_NSTEPS); + let mut explicit_count = 0usize; + let mut affine_count = 0usize; + let mut done = false; + let mut first_terminal_row = None; + let mut terminal_rows_checked = 0usize; + let mut terminal_full_ca_checks = 0usize; + let mut reverse_row_380_relation_checks = 0usize; + let mut reverse_row_380_active_checks = 0usize; + let mut reverse_row_380_inactive_checks = 0usize; + let mut reverse_row_380_relation_failures = 0usize; + let mut narrow_compare_checks = [0usize; 2]; + let mut narrow_compare_miss_coordinates = Vec::new(); + + for step in 0..SHRUNKEN_PZ_NSTEPS { + let widths = q949_effective_reg_widths(step); + let lows = q949_effective_reg_los(step); + let pre = state; + let entry_widths = pre.widths(); + census.record_widths( + Q949TraceDirection::Forward, + Q949WidthPhase::Entry, + step, + entry_widths, + widths, + ); + let mut transient_widths = entry_widths; + let done_at_substeps = done; + let mut multiply_active = false; + let mut multiply_expected_lt = false; + let mut multiply_parity = state; + let mut multiply_compare = state; + if explicit_count == 0 { + census.record_clz_windows( + Q949TraceDirection::Forward, + step, + [ + entry_widths[0], + entry_widths[1], + entry_widths[2], + entry_widths[3], + ], + lows, + widths, + ); + if state.a < state.b && state.q != 0 { + multiply_active = true; + let shift = state.q.trailing_zeros() as usize; + let shifted = state.cb << shift; + transient_widths[3] = transient_widths[3].max(bl(shifted)); + let ca_after = state.ca + shifted; + let offset = bl(ca_after) != bl(shifted); + let compare_rhs = if offset { shifted << 1 } else { shifted }; + multiply_expected_lt = offset; + state.q ^= 1u128 << shift; + state.ca = ca_after; + multiply_parity = state; + multiply_parity.cb = shifted; + multiply_compare = state; + multiply_compare.cb = compare_rhs; + q949_record_narrow_compare( + &mut narrow_compare_checks, + &mut narrow_compare_miss_coordinates, + step, + Q949NarrowCompareSubstep::MultiplyOffsetCleanup, + lows[2], + ca_after, + compare_rhs, + offset, + ); + transient_widths[2] = transient_widths[2].max(bl(state.ca)); + transient_widths[4] = transient_widths[4].max(blq(state.q)); + } + } + let after_multiply = state; + if !multiply_active { + multiply_parity = after_multiply; + multiply_compare = after_multiply; + } + after_multiply_transcript.push(after_multiply); + let mut division_active = false; + let mut division_expected_lt = false; + let mut division_reconstructed = true; + let mut division_compare = after_multiply; + let mut division_parity = after_multiply; + if explicit_count == 0 { + if state.ca < state.cb { + division_active = true; + let mut shift = bl(state.a) as i64 - bl(state.b) as i64; + if shift >= 0 { + let initially_shifted = state.b << shift as usize; + division_compare.b = initially_shifted; + division_expected_lt = state.a < initially_shifted; + q949_record_narrow_compare( + &mut narrow_compare_checks, + &mut narrow_compare_miss_coordinates, + step, + Q949NarrowCompareSubstep::DivisionOffset, + lows[0], + state.a, + initially_shifted, + division_expected_lt, + ); + if division_expected_lt { + shift -= 1; + } + if shift >= 0 { + let shifted = state.b << shift as usize; + division_parity.b = shifted; + transient_widths[1] = transient_widths[1].max(bl(shifted)); + if state.a >= shifted { + state.a -= shifted; + state.q ^= 1u128 << shift as u32; + transient_widths[4] = transient_widths[4].max(blq(state.q)); + } + transient_widths[0] = transient_widths[0].max(bl(state.a)); + } else { + assert!(division_expected_lt); + assert_eq!(shift, -1); + division_parity.b = state.b >> 1; + } + } else { + division_reconstructed = false; + } + } + } + let after_division = state; + let q945_boundaries = Q945RowCallBoundaries { + done: done_at_substeps, + row_entry: pre, + after_multiply, + after_division, + division_update: after_multiply, + division_compare, + division_parity, + division_active, + division_expected_lt, + division_reconstructed, + multiply_update: after_multiply, + multiply_compare, + multiply_parity, + multiply_active, + multiply_expected_lt, + }; + q945_record_host_support( + Q949TraceDirection::Forward, + step, + lows, + q945_boundaries, + &mut q945_hclz_host_observations, + &mut q945_carry_host_observations, + ); + q944_record_gate_calls( + Q949TraceDirection::Forward, + step, + q945_boundaries, + &mut q944_gate_call_observations, + ); + q945_call_boundaries.push(q945_boundaries); + let after_multiply_widths = after_multiply.widths(); + let after_division_widths = after_division.widths(); + reverse_clz_inputs.push([ + after_division_widths[0], + after_division_widths[1], + after_multiply_widths[2], + after_multiply_widths[3], + ]); + if explicit_count == 0 { + if state.q == 0 && !state.a.is_zero() { + std::mem::swap(&mut state.a, &mut state.b); + std::mem::swap(&mut state.ca, &mut state.cb); + } + } + let post_swap = state; + census.record_widths( + Q949TraceDirection::Forward, + Q949WidthPhase::Transient, + step, + transient_widths, + widths, + ); + census.record_widths( + Q949TraceDirection::Forward, + Q949WidthPhase::PostSwap, + step, + post_swap.widths(), + widths, + ); + if step + 1 < SHRUNKEN_PZ_NSTEPS { + census.record_widths( + Q949TraceDirection::Forward, + Q949WidthPhase::Boundary, + step + 1, + post_swap.widths(), + q949_effective_reg_widths(step + 1), + ); + } + + let terminal = state.a.is_zero() && state.q == 0; + if terminal { + assert_eq!( + state.b, one, + "Q949 terminal support has B!=1 at row {step}" + ); + assert_eq!( + state.ca, p, + "Q949 terminal support has ca!=p at row {step}" + ); + terminal_rows_checked += 1; + terminal_full_ca_checks += 1; + } + if explicit_count == 0 && terminal { + first_terminal_row.get_or_insert(step); + } + explicit_count += usize::from(terminal); + + let logical_c_before = affine_count; + let transition = terminal && logical_c_before == 0; + done ^= transition; + affine_count += usize::from(done); + assert_eq!( + affine_count, explicit_count, + "Q949 forward count drift at row {step}" + ); + assert_eq!( + done, + affine_count != 0, + "Q949 forward mode drift at row {step}" + ); + assert!( + affine_count < 256, + "Q949 affine counter wrapped at row {step}" + ); + if done { + let encoded_low = P_LOW ^ affine_count; + assert_eq!(encoded_low ^ P_LOW, affine_count); + } + transcript.push(state); + } + + let first_terminal_row = first_terminal_row.expect("Q949 supported trace never terminated"); + + for step in (0..SHRUNKEN_PZ_NSTEPS).rev() { + let post = transcript[step + 1]; + assert_eq!( + state, post, + "Q949 reverse transcript drift before row {step}" + ); + explicit_count -= usize::from(explicit_count != 0); + affine_count -= usize::from(done); + assert_eq!( + affine_count, explicit_count, + "Q949 reverse count drift at row {step}" + ); + let restored_terminal = state.a.is_zero() && state.q == 0 && affine_count == 0; + done ^= restored_terminal; + assert_eq!( + done, + affine_count != 0, + "Q949 reverse mode drift at row {step}" + ); + let q945_boundaries = q945_call_boundaries[step]; + assert_eq!( + done, q945_boundaries.done, + "Q945 reverse call-boundary done state drift at row {step}" + ); + q945_record_host_support( + Q949TraceDirection::Reverse, + step, + q949_effective_reg_los(step), + q945_boundaries, + &mut q945_hclz_host_observations, + &mut q945_carry_host_observations, + ); + q944_record_gate_calls( + Q949TraceDirection::Reverse, + step, + q945_boundaries, + &mut q944_gate_call_observations, + ); + if step == 380 { + let relation_state = after_multiply_transcript[step]; + let division_active = !done && relation_state.ca < relation_state.cb; + let ca_top = ((relation_state.ca >> 255) & one) == one; + let cb_top = ((relation_state.cb >> 255) & one) == one; + assert!( + !cb_top, + "Q949 reverse row-380 relation lost cb[255]=0" + ); + reverse_row_380_relation_failures += usize::from(ca_top != !division_active); + reverse_row_380_relation_checks += 1; + reverse_row_380_active_checks += usize::from(division_active); + reverse_row_380_inactive_checks += usize::from(!division_active); + } + if !done { + let widths = q949_effective_reg_widths(step); + let lows = q949_effective_reg_los(step); + census.record_clz_windows( + Q949TraceDirection::Reverse, + step, + reverse_clz_inputs[step], + lows, + widths, + ); + } + state = transcript[step]; + if step > 0 { + census.record_widths( + Q949TraceDirection::Reverse, + Q949WidthPhase::Boundary, + step - 1, + state.widths(), + q949_effective_reg_widths(step - 1), + ); + } + } + assert_eq!(explicit_count, 0); + assert_eq!(affine_count, 0); + assert!(!done); + assert_eq!(state.a, p); + assert_eq!(state.b, x); + assert_eq!(state.ca, U512::ZERO); + assert_eq!(state.cb, one); + assert_eq!(state.q, 0); + + let width_misses = census.width_misses(); + assert_eq!( + census.width_miss_coordinates.len(), + width_misses, + "Q949 width-miss coordinate census drift" + ); + assert_eq!( + census.clz_window_miss_coordinates.len(), + census.clz_window_misses, + "Q949 CLZ-miss coordinate census drift" + ); + assert_eq!( + census.width_observations.len() * 5, + census.entry_width_checks + + census.transient_width_checks + + census.post_swap_width_checks + + census.boundary_width_checks, + "Q949 width-observation census drift" + ); + assert_eq!( + census.clz_window_observations.len() * 4, + census.clz_window_checks, + "Q949 CLZ-observation census drift" + ); + let first_width_miss = census.width_miss_coordinates.first().copied(); + let first_clz_window_miss = census.clz_window_miss_coordinates.first().copied(); + let first_narrow_compare_miss = narrow_compare_miss_coordinates.first().copied(); + let narrow_compare_misses = narrow_compare_miss_coordinates.len(); + let division_offset_compare_misses = narrow_compare_miss_coordinates + .iter() + .filter(|miss| miss.substep == Q949NarrowCompareSubstep::DivisionOffset) + .count(); + let multiply_offset_cleanup_compare_misses = narrow_compare_miss_coordinates + .iter() + .filter(|miss| miss.substep == Q949NarrowCompareSubstep::MultiplyOffsetCleanup) + .count(); + assert_eq!( + q945_hclz_host_observations.len(), + 2 * 52, + "Q945 per-factor HCLZ host coverage drift" + ); + assert_eq!( + q945_carry_host_observations.len(), + 2 * 14, + "Q945 per-factor carry host coverage drift" + ); + assert_eq!( + q944_gate_call_observations.len(), + 2 * 14, + "Q944 per-factor gate-call coverage drift" + ); + + Q949AffineTraceCertificate { + rows_forward_checked: SHRUNKEN_PZ_NSTEPS, + rows_backward_checked: SHRUNKEN_PZ_NSTEPS, + row_bounds_checked: SHRUNKEN_PZ_NSTEPS, + entry_width_checks: census.entry_width_checks, + transient_width_checks: census.transient_width_checks, + post_swap_width_checks: census.post_swap_width_checks, + boundary_width_checks: census.boundary_width_checks, + entry_width_misses: census.entry_width_misses, + transient_width_misses: census.transient_width_misses, + post_swap_width_misses: census.post_swap_width_misses, + boundary_width_misses: census.boundary_width_misses, + width_misses, + clz_window_checks: census.clz_window_checks, + clz_window_misses: census.clz_window_misses, + first_width_miss, + first_clz_window_miss, + width_observations: census.width_observations, + clz_window_observations: census.clz_window_observations, + width_miss_coordinates: census.width_miss_coordinates, + clz_window_miss_coordinates: census.clz_window_miss_coordinates, + narrow_compare_checks: narrow_compare_checks.into_iter().sum(), + narrow_compare_misses, + division_offset_compare_checks: narrow_compare_checks[0], + division_offset_compare_misses, + multiply_offset_cleanup_compare_checks: narrow_compare_checks[1], + multiply_offset_cleanup_compare_misses, + first_narrow_compare_miss, + narrow_compare_miss_coordinates, + q945_hclz_host_observations, + q945_carry_host_observations, + q944_gate_call_observations, + first_terminal_row, + terminal_rows_checked, + terminal_full_ca_checks, + reverse_row_380_relation_checks, + reverse_row_380_active_checks, + reverse_row_380_inactive_checks, + reverse_row_380_relation_failures, + max_counter: SHRUNKEN_PZ_NSTEPS - first_terminal_row, + } +} + +fn repair_sample( + x_orig: U512, + p: U512, + half: U512, + widths: &mut [[u16; 5]], + repair_margin: usize, +) -> usize { + repair_sample_with_details(x_orig, p, half, widths, repair_margin, None) +} + +fn repair_sample_with_details( + x_orig: U512, + p: U512, + half: U512, + widths: &mut [[u16; 5]], + repair_margin: usize, + mut details: Option<&mut Vec>, +) -> usize { + let one = U512::from(1u64); + let x = if x_orig > half { p - x_orig } else { x_orig }; + let mut a = p; + let mut b = x; + let mut ca = U512::ZERO; + let mut cb = one; + let mut q: u128 = 0; + let mut repairs = 0usize; + + for (step, row) in widths.iter_mut().enumerate().take(SHRUNKEN_PZ_NSTEPS) { + let vals = if a.is_zero() && b == one && q == 0 { + [0, 1, bl(ca), bl(cb), 1] + } else { + let (mut wa, mut wb, mut wca, mut wcb, mut wq) = + (bl(a), bl(b), bl(ca), bl(cb), blq(q)); + if a < b && q != 0 { + let s2 = q.trailing_zeros() as usize; + let cbs = cb << s2; + wcb = wcb.max(bl(cbs)); + q ^= 1u128 << s2; + ca += cbs; + wca = wca.max(bl(ca)); + wq = wq.max(blq(q)); + } + if ca < cb { + let mut s = bl(a) as i64 - bl(b) as i64; + let offset = if s >= 0 { a < (b << (s as usize)) } else { false }; + if offset { + s -= 1; + } + if s >= 0 { + let bsh = b << (s as usize); + wb = wb.max(bl(bsh)); + if a >= bsh { + a -= bsh; + q ^= 1u128 << (s as u32); + wq = wq.max(blq(q)); + } + wa = wa.max(bl(a)); + } + } + let vals = [wa, wb, wca, wcb, wq]; + if q == 0 && !a.is_zero() { + std::mem::swap(&mut a, &mut b); + std::mem::swap(&mut ca, &mut cb); + } + vals + }; + + let universal = [ + SHRUNKEN_PZ_A[step], + SHRUNKEN_PZ_B[step], + SHRUNKEN_PZ_CA[step], + SHRUNKEN_PZ_CB[step], + SHRUNKEN_PZ_Q[step], + ]; + for r in 0..5 { + let observed = vals[r].max(1); + let need = (observed + repair_margin).min(universal[r] as usize) as u16; + if need > row[r] { + if let Some(out) = details.as_deref_mut() { + out.push(ThinRepairCoordinate { + step, + register: ["A", "B", "ca", "cb", "q"][r], + observed_width: observed, + available_width: row[r] as usize, + universal_width: universal[r] as usize, + }); + } + row[r] = need; + repairs += 1; + } + } + } + + repairs +} + +fn generate_thin_schedule() -> ThinSchedule { + let config = thin_schedule_config(); + let train = config.train; + let margin = config.margin; + let validate = config.validate; + let repair_margin = config.repair_margin; + let heldout = env_usize("TRAILMIX_THIN_HELDOUT", 0); + let mut state = config.seed; + let p = secp_p(); + let half = p >> 1; + let mut maxw = vec![[0u16; 5]; SHRUNKEN_PZ_NSTEPS]; + + for _ in 0..train { + let x = rand_x(&mut state, p); + record_sample(x, p, half, &mut maxw); + } + + let mut widths = Vec::with_capacity(SHRUNKEN_PZ_NSTEPS); + for i in 0..SHRUNKEN_PZ_NSTEPS { + let universal = [ + SHRUNKEN_PZ_A[i], + SHRUNKEN_PZ_B[i], + SHRUNKEN_PZ_CA[i], + SHRUNKEN_PZ_CB[i], + SHRUNKEN_PZ_Q[i], + ]; + let mut row = [1u16; 5]; + for r in 0..5 { + row[r] = universal[r].min(maxw[i][r].saturating_add(margin as u16)).max(1); + } + widths.push(row); + } + + let mut repairs = 0usize; + if validate > 0 { + for _ in 0..validate { + let x = rand_x(&mut state, p); + repairs += repair_sample(x, p, half, &mut widths, repair_margin); + } + } + + let mut heldout_misses = 0usize; + let mut heldout_repairs = 0usize; + if heldout > 0 { + for _ in 0..heldout { + let x = rand_x(&mut state, p); + let mut tmp = widths.clone(); + let r = repair_sample(x, p, half, &mut tmp, 0); + if r > 0 { + heldout_misses += 1; + heldout_repairs += r; + } + } + } + + let (peak_step, peak) = widths + .iter() + .enumerate() + .map(|(i, row)| (i, row.iter().map(|&x| x as usize).sum::())) + .max_by_key(|&(_, sum)| sum) + .unwrap_or((0, 0)); + if std::env::var("TRAILMIX_THIN_TRACE").is_ok() { + eprintln!( + "TRAILMIX_THIN schedule train={} margin={} validate={} repair_margin={} repairs={} heldout={} heldout_misses={} heldout_repairs={} peak_pack={} step={} row={:?}", + train, + margin, + validate, + repair_margin, + repairs, + heldout, + heldout_misses, + heldout_repairs, + peak, + peak_step, + widths[peak_step] + ); + } + + let schedule = ThinSchedule { widths }; + if let Ok(path) = std::env::var("TRAILMIX_THIN_CACHE_OUT") { + write_thin_schedule_cache(&path, &schedule, config); + } + schedule +} + +fn thin_schedule() -> Option<&'static ThinSchedule> { + thin_schedule_enabled().then(|| { + THIN_SCHEDULE.get_or_init(|| { + if let Ok(path) = std::env::var("TRAILMIX_THIN_CACHE_IN") { + assert!( + std::env::var_os("TRAILMIX_THIN_CACHE_OUT").is_none(), + "thin-schedule cache input and output are mutually exclusive" + ); + load_thin_schedule_cache(&path, thin_schedule_config()) + } else { + generate_thin_schedule() + } + }) + }) +} + +fn widen_u256(value: U256) -> U512 { + let limbs = value.as_limbs(); + U512::from_limbs([limbs[0], limbs[1], limbs[2], limbs[3], 0, 0, 0, 0]) +} + +/// Return the number of per-row/per-register repairs this field factor would +/// require under the currently enabled thin schedule. Zero means it fits. +pub fn thin_factor_repairs_u256(value: U256) -> usize { + if value.is_zero() { + return SHRUNKEN_PZ_NSTEPS; + } + let Some(thin) = thin_schedule() else { + return 0; + }; + let p = secp_p(); + let half = p >> 1; + let mut tmp = thin.widths.clone(); + // Mirror the circuit's A/B and ca/cb caps (both registers in each pair are + // resized to the capped max). Done before the q budget so `other` is consistent. + let ab_cap = std::env::var("TRAILMIX_AB_CAP").ok().and_then(|s| s.parse::().ok()); + let cacb_cap = std::env::var("TRAILMIX_CACB_CAP").ok().and_then(|s| s.parse::().ok()); + if ab_cap.is_some() || cacb_cap.is_some() { + for row in &mut tmp { + if let Some(c) = ab_cap { + let m = row[0].max(row[1]).min(c).max(1); + row[0] = m; + row[1] = m; + } + if let Some(c) = cacb_cap { + let m = row[2].max(row[3]).min(c).max(1); + row[2] = m; + row[3] = m; + } + } + } + if let Some(target) = trailmix_q_target() { + // Mirror `trailmix_q_width_step`: per-step q budget so the working width + // 2*max(A,B) + 2*max(ca,cb) + q never exceeds `target`. Only the wide + // peak step(s) get q trimmed -> the support model now matches the circuit. + let target = target.min(u16::MAX as usize) as u16; + let cap = trailmix_q_cap().map(|c| c.min(u16::MAX as usize) as u16); + // MODEL-ONLY extra strictness (does not change the op stream / draws, + // which are fixed by the circuit's trailmix_q_width_step). The abstract + // repair_sample under-counts real q overflow by ~1 on tightly-clamped + // steps (the real q register needs ~factor_bits+1: a guard/sign bit the + // factor-fit model omits). Subtracting `guard` from the budget ON CLAMPED + // STEPS makes a model-clean nonce match a real-clean run. + let guard = std::env::var("TRAILMIX_Q_MODEL_GUARD") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0); + for row in &mut tmp { + let other = 2 * row[0].max(row[1]) + 2 * row[2].max(row[3]); + let budget = target + .saturating_sub(other) + .saturating_add(sign_parity_q_reuse_bonus()) + .max(1); + let clamped = row[4] > budget; + row[4] = row[4].min(budget); + if let Some(cap) = cap { + row[4] = row[4].min(cap); + } + if clamped { + row[4] = row[4].saturating_sub(guard); + } + row[4] = row[4].max(1); + } + } else if let Some(cap) = trailmix_q_cap() { + let cap = cap.min(u16::MAX as usize) as u16; + for row in &mut tmp { + row[4] = row[4].min(cap).max(1); + } + } + if q949_route_requested() { + for (step, row) in tmp.iter_mut().enumerate() { + *row = q949_effective_reg_widths(step).map(|width| width as u16); + } + } + repair_sample(widen_u256(value), p, half, &mut tmp, 0) +} + +/// Return exact support-model repair coordinates for one field factor. +/// +/// This is diagnostic evidence only. It mirrors `thin_factor_repairs_u256` +/// including selective q-target clamping and the model-only guard, but does +/// not prove that a coordinate is the only real-circuit failure mechanism. +pub fn thin_factor_repair_coordinates_u256(value: U256) -> Vec { + if value.is_zero() { + return vec![ThinRepairCoordinate { + step: usize::MAX, + register: "zero_factor", + observed_width: 0, + available_width: 0, + universal_width: 0, + }]; + } + let Some(thin) = thin_schedule() else { + return Vec::new(); + }; + let p = secp_p(); + let half = p >> 1; + let mut tmp = thin.widths.clone(); + let ab_cap = std::env::var("TRAILMIX_AB_CAP").ok().and_then(|s| s.parse::().ok()); + let cacb_cap = std::env::var("TRAILMIX_CACB_CAP").ok().and_then(|s| s.parse::().ok()); + if ab_cap.is_some() || cacb_cap.is_some() { + for row in &mut tmp { + if let Some(c) = ab_cap { + let m = row[0].max(row[1]).min(c).max(1); + row[0] = m; + row[1] = m; + } + if let Some(c) = cacb_cap { + let m = row[2].max(row[3]).min(c).max(1); + row[2] = m; + row[3] = m; + } + } + } + if let Some(target) = trailmix_q_target() { + let target = target.min(u16::MAX as usize) as u16; + let cap = trailmix_q_cap().map(|c| c.min(u16::MAX as usize) as u16); + let guard = std::env::var("TRAILMIX_Q_MODEL_GUARD") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(0); + for row in &mut tmp { + let other = 2 * row[0].max(row[1]) + 2 * row[2].max(row[3]); + let budget = target + .saturating_sub(other) + .saturating_add(sign_parity_q_reuse_bonus()) + .max(1); + let clamped = row[4] > budget; + row[4] = row[4].min(budget); + if let Some(cap) = cap { + row[4] = row[4].min(cap); + } + if clamped { + row[4] = row[4].saturating_sub(guard); + } + row[4] = row[4].max(1); + } + } else if let Some(cap) = trailmix_q_cap() { + let cap = cap.min(u16::MAX as usize) as u16; + for row in &mut tmp { + row[4] = row[4].min(cap).max(1); + } + } + if q949_route_requested() { + for (step, row) in tmp.iter_mut().enumerate() { + *row = q949_effective_reg_widths(step).map(|width| width as u16); + } + } + let mut details = Vec::new(); + let repairs = repair_sample_with_details( + widen_u256(value), + p, + half, + &mut tmp, + 0, + Some(&mut details), + ); + debug_assert_eq!(repairs, details.len()); + details +} + +/// Per-step register widths (A, B, ca, cb, q). Out-of-range clamps to last. +#[allow(dead_code)] +#[must_use] +pub fn reg_widths(i: usize) -> (usize, usize, usize, usize, usize) { + let j = i.min(SHRUNKEN_PZ_NSTEPS - 1); + if let Some(thin) = thin_schedule() { + let row = thin.widths[j]; + return ( + row[0] as usize, + row[1] as usize, + row[2] as usize, + row[3] as usize, + row[4] as usize, + ); + } + ( + SHRUNKEN_PZ_A[j] as usize, + SHRUNKEN_PZ_B[j] as usize, + SHRUNKEN_PZ_CA[j] as usize, + SHRUNKEN_PZ_CB[j] as usize, + SHRUNKEN_PZ_Q[j] as usize, + ) +} + +/// Per-step clz-window low bounds (A, B, ca, cb, q): scan src[LO..W], the MSB +/// is guaranteed in [LO, W) for whole-pass-fitting inputs. +#[allow(dead_code)] +#[must_use] +pub fn reg_los(i: usize) -> (usize, usize, usize, usize, usize) { + let j = i.min(SHRUNKEN_PZ_NSTEPS - 1); + if let Some(thin) = thin_schedule() { + let row = thin.widths[j]; + return ( + thin_lo_giveback(row[0], "TRAILMIX_THIN_LO_A_GIVEBACK"), + thin_lo_giveback(row[1], "TRAILMIX_THIN_LO_B_GIVEBACK"), + thin_lo_giveback(row[2], "TRAILMIX_THIN_LO_CA_GIVEBACK"), + thin_lo_giveback(row[3], "TRAILMIX_THIN_LO_CB_GIVEBACK"), + thin_lo_giveback(row[4], "TRAILMIX_THIN_LO_Q_GIVEBACK"), + ); + } + ( + SHRUNKEN_PZ_A_LO[j] as usize, + SHRUNKEN_PZ_B_LO[j] as usize, + SHRUNKEN_PZ_CA_LO[j] as usize, + SHRUNKEN_PZ_CB_LO[j] as usize, + SHRUNKEN_PZ_Q_LO[j] as usize, + ) +} + +/// Per-step shift bounds (division s, multiply s2) -> rotator distance ceiling. +#[allow(dead_code)] +#[must_use] +pub fn shift_bounds(i: usize) -> (usize, usize) { + let j = i.min(SHRUNKEN_PZ_NSTEPS - 1); + (SHRUNKEN_PZ_SDIV[j] as usize, SHRUNKEN_PZ_S2[j] as usize) +} + +#[cfg(test)] +mod q945_host_support_tests { + use std::collections::BTreeSet; + + use super::*; + + #[test] + fn per_factor_host_observations_cover_every_directional_class() { + let certificate = q949_affine_trace_certificate_u256(U256::from(1u64)); + assert_eq!(certificate.q945_hclz_host_observations.len(), 104); + assert_eq!(certificate.q945_carry_host_observations.len(), 28); + let hclz = certificate + .q945_hclz_host_observations + .iter() + .map(|item| (item.direction, item.row, item.substep, item.form, item.host)) + .collect::>(); + let carries = certificate + .q945_carry_host_observations + .iter() + .map(|item| (item.direction, item.row, item.substep, item.host)) + .collect::>(); + assert_eq!(hclz.len(), 104); + assert_eq!(carries.len(), 28); + assert!(certificate + .q945_hclz_host_observations + .iter() + .all(|item| item.entry_value == item.exit_value)); + assert!(certificate + .q945_carry_host_observations + .iter() + .all(|item| item.entry_value == item.exit_value)); + } + + #[test] + fn strengthened_compare_and_special_host_accounting_is_total() { + let certificate = q949_affine_trace_certificate_u256(U256::from(2u64)); + assert_eq!( + certificate.narrow_compare_checks, + certificate.division_offset_compare_checks + + certificate.multiply_offset_cleanup_compare_checks + ); + assert_eq!( + certificate.narrow_compare_misses, + certificate.division_offset_compare_misses + + certificate.multiply_offset_cleanup_compare_misses + ); + assert_eq!( + certificate + .q945_carry_host_observations + .iter() + .filter(|item| item.row == 364 && item.substep == Q945Substep::Division) + .count(), + 2 + ); + assert!(certificate + .q945_carry_host_observations + .iter() + .filter(|item| item.row == 374 && item.substep == Q945Substep::Division) + .all(|item| { + item.host == Q945Host::new(Q945StateRegister::Q, 24) + && item.q24_noncarry_touches == 0 + })); + } +} diff --git a/src/point_add/trailmix_port/inversion/shrunken_pz_state_machine.rs b/src/point_add/trailmix_port/inversion/shrunken_pz_state_machine.rs new file mode 100644 index 00000000..cb461db0 --- /dev/null +++ b/src/point_add/trailmix_port/inversion/shrunken_pz_state_machine.rs @@ -0,0 +1,11737 @@ +//! Reversible unpacked PZ inversion as a bit-by-bit pipelined state machine +//! (design reference: `scripts/kaliski_test.py` `pz_big_step`). This supersedes +//! the full-division `shrunken_pz_primitives` module, whose coarser granularity +//! needed a fat quotient pad and did not handle large termination quotients. +//! +//! Per iteration (fixed count ~= sum of quotient bitlengths), gated on the state +//! flags so termination is intrinsic (no separate counter): +//! DIVISION substep: s = bitlen(A)-bitlen(B); align B<=B { A-=B; +//! `q_div` ^= 1<>s. A `div_active=0`. +//! MULTIPLY substep (pipelined): s = `ctz(q_mul)`; clear it; a += b< swap a,b; flip parity; `mul_active=0`. +//! TRANSITION: q_div->q_mul; swap A,B; divide builds the NEXT quotient while +//! the multiply drains the PREVIOUS. q pads are TINY (one quotient). +//! All shifts are `controlled_cyclic_rotate` (rotate-in-place, fixed width). +//! Up front: normalize x -> min(x, P-x) (sgn); final a corrected by parity ^ sgn. + +#![allow(dead_code)] + +use crate::circuit::{Op, OperationType, QubitId, NO_QUBIT}; +use crate::point_add::B; +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; +use crate::point_add::trailmix_port::inversion::q944_dirty_parity_microkernels::{ + controlled_add_dirty_carry_refs, controlled_sub_dirty_carry_refs, + strict_compare_gated_dirty_carry_refs, +}; +use crate::point_add::trailmix_port::inversion::q944_full_structural::{ + q944_full_gate_route, Q944FullGateRoute, Q944_GATE_HOST_CENSUS_COMMIT, + Q944_GATE_HOST_CENSUS_JOB, Q944_GATE_HOST_CENSUS_TREE, Q944_QUOTIENT_WITNESS_BLOB, + Q944_QUOTIENT_WITNESS_COMMIT, Q944_QUOTIENT_WITNESS_JOB, Q944_QUOTIENT_WITNESS_TREE, +}; +use crate::point_add::trailmix_port::inversion::q944_quotient_witness::{ + q944_clear_non_sentinel_shift, q944_commit_parked_sentinel, + q944_partial_demux_excluding_sentinel, q944_reverse_materialize_non_sentinel_index, + q944_reverse_park_sentinel, Q944_QUOTIENT_SENTINEL, Q944_QUOTIENT_WIDTH, + Q944_SHIFT_WIDTH, +}; +use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::{ + borrow_compare_gated_not_refs_with_carry, borrow_compare_gated_refs, + borrow_compare_gated_refs_with_carry, borrow_compare_refs, borrow_compare_refs_with_carry, +}; +use super::q945_local_hosts::{ + assert_q945_static_host_table, q945_carry_route, q945_hclz_route, Q945CarryRoute, + Q945HclzForm, Q945HclzRoute, Q945Host, Q945StateRegister, Q945Substep, Q945_HCLZ_ROWS, + Q945_NON_HCLZ_ROWS, +}; + +fn env_usize(name: &str, default: usize) -> usize { + std::env::var(name) + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(default) +} + +fn trailmix_srot_width() -> usize { + // The generated schedule's shift bounds need six bits on valid samples. + // Keep an env override for experiments. + env_usize("TRAILMIX_SROT_W", 6).max(1) +} + +fn q954_srot_counter7_requested() -> bool { + std::env::var("LOWQ_Q954_SROT_COUNTER7").ok().as_deref() == Some("1") +} + +fn q949_affine_counter_requested() -> bool { + std::env::var("LOWQ_Q949_AFFINE_COUNTER").ok().as_deref() == Some("1") +} + +fn borrowed_transcript_experiment_requested() -> bool { + std::env::var("LOWQ_BORROWED_TRANSCRIPT_EXPERIMENT") + .ok() + .as_deref() + == Some("1") +} + +fn reverse_ca255_relational_loan_requested() -> bool { + std::env::var("LOWQ_REVERSE_CA255_RELATIONAL_LOAN_EXPERIMENT") + .ok() + .as_deref() + == Some("1") +} + +fn passenger_top_lifetime_experiment_requested() -> bool { + std::env::var("LOWQ_PASSENGER_TOP_LIFETIME_EXPERIMENT") + .ok() + .as_deref() + == Some("1") +} + +fn q947_passenger_direct_hclz_requested() -> bool { + std::env::var("LOWQ_Q947_PASSENGER_DIRECT_HCLZ") + .ok() + .as_deref() + == Some("1") +} + +fn q946_second_ownership_release_requested() -> bool { + std::env::var("LOWQ_Q946_SECOND_OWNERSHIP_RELEASE") + .ok() + .as_deref() + == Some("1") +} + +fn q945_local_hosts_requested() -> bool { + std::env::var("LOWQ_Q945_LOCAL_HOSTS").ok().as_deref() == Some("1") +} + +fn q945_dirty_parity_arithmetic_requested() -> bool { + std::env::var("LOWQ_Q945_DIRTY_PARITY_ARITHMETIC") + .ok() + .as_deref() + == Some("1") +} + +fn q944_full_structural_requested() -> bool { + std::env::var("LOWQ_Q944_FULL_STRUCTURAL").ok().as_deref() == Some("1") +} + +fn q944_residual_one_lane_cut_requested() -> bool { + std::env::var("LOWQ_Q944_RESIDUAL_ONE_LANE_CUT") + .ok() + .as_deref() + == Some("1") +} + +fn lowq_q945_local_hosts_enabled() -> bool { + if !q945_local_hosts_requested() { + return false; + } + assert!( + q946_second_ownership_release_requested(), + "Q945 local hosts require the Q946 ownership route" + ); + assert_eq!( + std::env::var("LOWQ_Q956_OFF_BORROW").ok().as_deref(), + Some("1"), + "Q945 local hosts require the Q946 off alias" + ); + use std::sync::OnceLock; + static CHECKED: OnceLock<()> = OnceLock::new(); + CHECKED.get_or_init(|| { + let report = assert_q945_static_host_table(); + assert_eq!(report.borrowed_hclz_sites, 208); + assert_eq!(report.direct_hclz_sites, 16); + assert_eq!(report.hclz_events, 224); + }); + true +} + +fn lowq_q945_dirty_parity_arithmetic_enabled() -> bool { + if !q945_dirty_parity_arithmetic_requested() { + return false; + } + assert!( + lowq_q945_local_hosts_enabled(), + "Q945 dirty-parity arithmetic requires the Q945 local-host route" + ); + true +} + +fn lowq_q944_full_structural_enabled() -> bool { + if !q944_full_structural_requested() { + return false; + } + assert!( + lowq_q945_dirty_parity_arithmetic_enabled(), + "Q944 full structural route requires Q945 dirty-parity arithmetic" + ); + assert!( + lowq_q959_selective_borrow_enabled(), + "Q944 full structural route requires selective borrowing" + ); + assert_eq!( + trailmix_srot_width(), + 5, + "Q944 quotient witness requires five owned shift lanes" + ); + use std::sync::OnceLock; + static CHECKED: OnceLock<()> = OnceLock::new(); + CHECKED.get_or_init(|| { + let report = super::q944_full_structural::assert_q944_full_static_route(); + assert_eq!(report.classes, 14); + assert_eq!(report.ordinary_sites, 36); + assert_eq!(report.quotient_sites, 20); + assert_eq!(report.total_sites, 56); + }); + true +} + +fn lowq_q944_residual_one_lane_cut_enabled() -> bool { + if !q944_residual_one_lane_cut_requested() { + return false; + } + assert!( + lowq_q944_full_structural_enabled(), + "Q944 residual cut requires the full structural Q944 route" + ); + true +} + +fn q949_robust_symmetric_schedule_requested() -> bool { + let requested = super::shrunken_pz_schedule::q949_robust_symmetric_schedule_requested(); + assert!( + !requested || q949_affine_counter_requested(), + "LOWQ_Q949_ROBUST_SYMMETRIC_SCHEDULE requires LOWQ_Q949_AFFINE_COUNTER=1" + ); + requested +} + +fn trailmix_logical_srot_width() -> usize { + trailmix_srot_width() + usize::from(q954_srot_counter7_requested()) +} + +fn trailmix_counter_width() -> usize { + if q949_affine_counter_requested() { + 1 + } else if std::env::var("TRAILMIX_NO_COUNTER").ok().as_deref() == Some("1") { + 0 + } else { + env_usize("TRAILMIX_COUNTER_W", 10) + } +} + +fn trailmix_q_width(wq: usize) -> usize { + let w = wq.max(1); + std::env::var("TRAILMIX_Q_CAP") + .ok() + .and_then(|s| s.parse::().ok()) + .map_or(w, |cap| w.min(cap.max(1))) +} + +/// Per-step quotient width with SELECTIVE peak-targeting. +/// +/// The global qubit peak at a `shrunken_pz` step is +/// 2*max(wa,wb) + 2*max(wca,wcb) + q_width + FIXED. +/// A blunt global `TRAILMIX_Q_CAP` clamps q on ALL ~490 steps (most have +/// universal q in 23..38), but only the peak-binding step(s) need a smaller q +/// to lower the global peak. Clamping the rest just manufactures classical +/// misses (overflowed quotients) without helping the peak. +/// +/// `TRAILMIX_Q_TARGET=T` instead gives each step a budget so that its working +/// width never exceeds T: `q <= T - 2*max(wa,wb) - 2*max(wca,wcb)`. Steps whose +/// other registers are small keep their full natural q (no miss); only the +/// wide-carry peak step(s) get q trimmed, and only by the minimum needed. +/// Falls back to `trailmix_q_width` (global cap) when `TRAILMIX_Q_TARGET` unset. +/// Cap the shared A/B register width (both A and B are resized to max(wa,wb)). +/// `TRAILMIX_AB_CAP` trims it on the steps where it would otherwise bind the peak. +fn trailmix_ab_width(wab: usize) -> usize { + let w = wab.max(1); + std::env::var("TRAILMIX_AB_CAP") + .ok() + .and_then(|s| s.parse::().ok()) + .map_or(w, |c| w.min(c.max(1))) +} + +/// Cap the shared ca/cb cofactor register width (both resized to max(wca,wcb)). +/// `TRAILMIX_CACB_CAP` trims the dominant 2*245 carry pair at the peak step. +fn trailmix_cacb_width(wcacb: usize) -> usize { + let w = wcacb.max(1); + std::env::var("TRAILMIX_CACB_CAP") + .ok() + .and_then(|s| s.parse::().ok()) + .map_or(w, |c| w.min(c.max(1))) +} + +/// Fuse the immutable input-sign bit into the EEA parity bit and reclaim the +/// released persistent wire. If `s` is the +/// input sign and `p` is the original EEA parity, the fused state is `s XOR p`. +/// The slope-correction control is therefore its negation, and reverse EEA +/// restores `s XOR 1`, from which `s` is recovered and uncomputed exactly. +fn sign_parity_q_reuse_enabled() -> bool { + if std::env::var("TRAILMIX_SIGN_PARITY_Q_REUSE") + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert!( + matches!( + std::env::var("TRAILMIX_Q_TARGET").ok().as_deref(), + Some("683" | "684") + ), + "TRAILMIX_SIGN_PARITY_Q_REUSE is sealed to Q_TARGET=683/684" + ); + true +} + +fn trailmix_q_width_step(wq: usize, wa: usize, wb: usize, wca: usize, wcb: usize) -> usize { + let natural = wq.max(1); + let target = std::env::var("TRAILMIX_Q_TARGET") + .ok() + .and_then(|s| s.parse::().ok()); + let Some(target) = target else { + return trailmix_q_width(wq); + }; + // q budget is computed from the (possibly capped) A/B and ca/cb widths so the + // working width 2*ab + 2*cacb + q meets `target` consistently with the resizes. + let other = 2 * trailmix_ab_width(wa.max(wb)) + 2 * trailmix_cacb_width(wca.max(wcb)); + // Q_TARGET=684 retains the audited quotient widths. The two reclaimed + // persistent lanes are physical savings and are not added back to q. + let budget = target.saturating_sub(other).max(1); + // Still honor a global Q_CAP if both are set (take the tighter bound). + let capped = natural.min(budget); + std::env::var("TRAILMIX_Q_CAP") + .ok() + .and_then(|s| s.parse::().ok()) + .map_or(capped, |cap| capped.min(cap.max(1))) + .max(1) +} + +fn trailmix_register_widths_step(i: usize) -> [usize; 5] { + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::{ + q949_effective_reg_widths, reg_widths, + }; + + if q949_affine_counter_requested() { + return q949_effective_reg_widths(i); + } + + let (wa, wb, wca, wcb, wq) = reg_widths(i); + let ab = trailmix_ab_width(wa.max(wb)); + let cacb = trailmix_cacb_width(wca.max(wcb)); + let q = trailmix_q_width_step(wq, wa, wb, wca, wcb); + [ab, ab, cacb, cacb, q] +} + +fn trailmix_register_los_step(i: usize) -> [usize; 5] { + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::{ + q949_effective_reg_los, reg_los, + }; + + if q949_affine_counter_requested() { + q949_effective_reg_los(i) + } else { + let (a, b, ca, cb, q) = reg_los(i); + [a, b, ca, cb, q] + } +} + +fn compute_active(c: &mut Circuit, counter: &[QReg], candidates: &[&QReg]) -> QReg { + let active = c.alloc_qreg("active"); + if counter.is_empty() { + c.x(&active); + } else if lowq_q959_selective_borrow_enabled() { + toggle_zero_dirty(c, counter, &active, candidates, &[&active]); + } else { + or_is_zero(c, counter, &active); + } + active +} + +fn uncompute_active(c: &mut Circuit, counter: &[QReg], active: &QReg, candidates: &[&QReg]) { + if counter.is_empty() { + c.x(active); + } else if lowq_q959_selective_borrow_enabled() { + toggle_zero_dirty(c, counter, active, candidates, &[active]); + } else { + or_is_zero(c, counter, active); + } +} + +/// `p + 1` (secp256k1 base field prime) as 33 LE bytes. +fn p_plus_1_bytes() -> Vec { + vec![ + 0x30, 0xfc, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + ] +} + +/// Controlled field-negate `a := (p - a) mod p` IFF `g` (a in [0,p), 257-bit). +/// Self-inverse. `~a + (p+1) ≡ p - a (mod 2^257)`; canonical for a in [1,p). +/// (Relocated from `kaliski_spooky::unpacked` so `shrunken_pz` has no spooky-Kaliski dep.) +pub fn controlled_field_neg(c: &mut Circuit, g: &QReg, a: &[QReg]) { + use crate::point_add::trailmix_port::arith::const_add::controlled_add_const; + for q in a { + c.cx(g, q); + } + controlled_add_const(c, g, a, &p_plus_1_bytes()); +} + +/// Canonical controlled field negation. Unlike `controlled_field_neg`, this +/// leaves zero at zero when the control is set instead of producing the +/// congruent but noncanonical representative `p`. +fn controlled_field_neg_canonical(c: &mut Circuit, g: &QReg, a: &[QReg]) { + assert_eq!(a.len(), 257, "canonical field negation requires 257 lanes"); + let nonzero = c.alloc_qreg("field-neg.nonzero"); + let apply = c.alloc_qreg("field-neg.apply"); + or_nonzero(c, a, &nonzero); + c.ccx(g, &nonzero, &apply); + controlled_field_neg(c, &apply, a); + c.ccx(g, &nonzero, &apply); + or_nonzero(c, a, &nonzero); + c.zero_and_free(apply); + c.zero_and_free(nonzero); +} + +/// `s += bitlen(a) - bitlen(b)` (clz diff), bound by `bound`. After alignment in +/// the division substep, s is the shift to apply. Inverse: swap a,b. +/// LEAN `bit_length`: `s += bitlen(src)` (or `-=` if dec), via a reversible +/// prefix-AND ladder + gray-code deposit -- ~2n ccx (ladder build+unbuild) with +/// NO per-row position-equality. Supersedes the first-hit scan (~38 tof/row from +/// the per-row `toggle_on_cursor_eq_const` uncompute of `is_hit`). +/// +/// Construction (MSB-first running flag `f_i` = "no 1 bit strictly above i"): +/// - prefix-AND ladder over ~src (X-bracketed) gives every `f_i` as a ladder +/// qubit, fully reversibly (fwd builds, rev unbuilds). +/// - deposit pos (init = n) ^= (i ^ (i+1)) gated on `f_i`, for i = n-1..0. The +/// gray differences telescope: pos collapses to the MSB index p (= bitlen-1). +/// - s += (pos + 1) [bitlen]; then uncompute pos (re-run deposit) + ladder. +/// +/// PRE: src nonzero (EEA gcd / nonzero quotient pad). For src==0 this returns +/// bitlen=1 (pos stays 0, +1); callers must not pass an all-zero src. +/// _middle core. Builds the prefix-AND ladder over ~src, deposits the MSB index +/// (= bitlen-1) into the caller's `pos` register (PRE: pos = |n>) in the FORWARD +/// sweep, runs `body` (which sees pos = MSB index), then unbuilds. +/// +/// `body` returns whether the deposit should be UNDONE on the reverse sweep: +/// - `false` (DEFAULT, 3n): pos is KEPT at the MSB index -- the caller owns it +/// and must clear it later (e.g. via the SM's reverse). One consume = 3n. +/// - `true` (4n): the deposit is re-run on the reverse, returning pos to |n>. +/// Use when pos is a throwaway temp whose value was folded elsewhere in body. +/// +/// The gray-code deposit is pure XOR (CX gated on a single flag materialized from +/// the prefix-AND with one ccx, then HMR-freed) -- so each consume is 1 toffoli +/// per position. Prefix build+unbuild = 2n; consume = n/sweep. +fn bit_length_lean_middle( + circ: &mut Circuit, + src: &[&QReg], + pos: &[QReg], + body: impl FnOnce(&mut Circuit) -> bool, +) { + use crate::point_add::trailmix_port::arith::khattar_gidney::{kg_prefix_ancilla_count, KgPrefixAnd}; + let n = src.len(); + if n == 0 { + body(circ); + return; + } + // ~src (X-bracket); the prefix-AND reads the complemented bits. + for q in src { + circ.x(q); + } + // q = ~src MSB-first: q[j] = ~src[n-1-j]. The log*-ancilla KG streaming + // prefix-AND gives, at layer i, AND(ctrls) = AND(q[0..i]) = "no 1 in top i + // positions" = f_k ("no 1 strictly above k") for k = n-1-i. ctrls is 1-2 qubits + // (KG conditionally-clean form), so the deposit is the KG prefix-controlled-X + // consumer directly: CX (1 ctrl, zero toffoli) or CCX (2 ctrls) per gray bit -- + // NO mcx materialize. Total ~3n-4n (2n prefix compute + n-2n consume). + let qbits: Vec<&QReg> = src.iter().rev().copied().collect(); + let nanc = kg_prefix_ancilla_count(n); + let anc_owned = circ.alloc_qreg_bits("bll.kganc", nanc); + let anc: Vec<&QReg> = anc_owned.iter().collect(); + let flag = circ.alloc_qreg("bll.flag"); + + // Deposit at layer i (position k = n-1-i): gray-XOR (k ^ (k+1)) into pos gated + // on f_k = AND(ctrls). For a 2-qubit ctrls, materialize f_k onto `flag` with ONE + // ccx, CX the gray bits (free), then free `flag` via clear_and (HMR + cz_if_bit, + // ZERO toffoli) -- so the consume is 1 toffoli/position. For <=1 ctrl the gray + // bits are a direct CX/X (zero toffoli). pos starts at |n>; the gray differences + // telescope it to the MSB index p. Self-inverse, so reverse undoes pos to |n>. + fn deposit_step( + circ: &mut Circuit, + i: usize, + ctrls: &[&QReg], + pos: &[QReg], + flag: &QReg, + n: usize, + ) { + if i >= n { + return; // i == n is the empty (k = -1) layer + } + let k = n - 1 - i; + let gd = k ^ (k + 1); + let bits: Vec = (0..pos.len()).filter(|&b| (gd >> b) & 1 == 1).collect(); + if bits.is_empty() { + return; + } + match ctrls { + [] => { + for &b in &bits { + circ.x(&pos[b]); + } + } + [c] => { + for &b in &bits { + circ.cx(c, &pos[b]); + } + } + [a, b2] => { + circ.ccx(a, b2, flag); // flag = f_k (1 toffoli) + for &b in &bits { + circ.cx(flag, &pos[b]); // free + } + circ.clear_and(flag, a, b2); // free flag via HMR+CZ (0 toffoli) + } + _ => unreachable!("KG prefix ctrls is <=2 qubits"), + } + } + + let kg = KgPrefixAnd::new(&qbits, &anc); + let done = kg.forward(circ, |c, i, ctrls| deposit_step(c, i, ctrls, pos, &flag, n)); // pos -> p + let clean = body(circ); + if clean { + // 4n: re-run the deposit on the reverse, returning pos to |n>. + done.reverse(circ, |c, i, ctrls| deposit_step(c, i, ctrls, pos, &flag, n)); + } else { + // 3n: unbuild the prefix only; pos stays at the MSB index (caller-owned). + done.reverse(circ, |_, _, _| {}); + } + circ.zero_and_free(flag); + drop(anc); + for q in anc_owned { + circ.zero_and_free(q); + } + for q in src { + circ.x(q); + } +} + +fn lowq_direct_prefix_bitlen_requested() -> bool { + std::env::var("LOWQ_DIRECT_PREFIX_BITLEN") + .ok() + .as_deref() + == Some("1") +} + +fn lowq_direct_prefix_dirty_update_requested() -> bool { + std::env::var("LOWQ_DIRECT_PREFIX_DIRTY_UPDATE") + .ok() + .as_deref() + == Some("1") +} + +fn lowq_direct_prefix_no_flag_requested() -> bool { + std::env::var("LOWQ_DIRECT_PREFIX_NO_FLAG") + .ok() + .as_deref() + == Some("1") +} + +pub(crate) fn lowq_fused_zero_prefix_bitlen_requested() -> bool { + std::env::var("LOWQ_FUSED_ZERO_PREFIX_BITLEN") + .ok() + .as_deref() + == Some("1") +} + +/// Opt-in exact reversal for allocation-free KG decrements that borrow their +/// clean prefix ancillae from the caller. +pub const CALLER_SCRATCH_KG_REVERSE_DECREMENT_FLAG: &str = + "LOWQ_CALLER_SCRATCH_KG_REVERSE_DECREMENT"; + +#[must_use] +pub fn caller_scratch_kg_reverse_decrement_requested() -> bool { + std::env::var(CALLER_SCRATCH_KG_REVERSE_DECREMENT_FLAG) + .ok() + .as_deref() + == Some("1") +} + +pub(crate) const DIRECT_PREFIX_KG_SCRATCH_LEN: usize = 5; +pub(crate) const DIRECT_PREFIX_INCREMENT_SCRATCH_LEN: usize = 3; +pub(crate) const DIRECT_PREFIX_FULL_SCRATCH_LEN: usize = + DIRECT_PREFIX_KG_SCRATCH_LEN + DIRECT_PREFIX_INCREMENT_SCRATCH_LEN + 1; +pub(crate) const DIRECT_PREFIX_COMPACT_SCRATCH_LEN: usize = + DIRECT_PREFIX_KG_SCRATCH_LEN + DIRECT_PREFIX_INCREMENT_SCRATCH_LEN; +pub(crate) const DIRECT_PREFIX_COMPACT7_SCRATCH_LEN: usize = + DIRECT_PREFIX_KG_SCRATCH_LEN + 2; + +fn assert_direct_prefix_full_scratch( + src: &[&QReg], + target: &[QReg], + scratch: &[&QReg], +) { + assert_eq!( + scratch.len(), + DIRECT_PREFIX_FULL_SCRATCH_LEN, + "direct-prefix full scratch requires exactly {DIRECT_PREFIX_FULL_SCRATCH_LEN} lanes" + ); + for (index, lane) in scratch.iter().enumerate() { + assert!( + scratch[..index] + .iter() + .all(|other| other.id() != lane.id()), + "direct-prefix full scratch lane {index} aliases an earlier scratch lane" + ); + assert!( + src.iter().all(|source| source.id() != lane.id()), + "direct-prefix full scratch lane {index} aliases the source" + ); + assert!( + target.iter().all(|target| target.id() != lane.id()), + "direct-prefix full scratch lane {index} aliases the target" + ); + } +} + +fn assert_direct_prefix_compact_scratch( + src: &[&QReg], + target: &[QReg], + scratch: &[&QReg], +) { + assert_eq!( + scratch.len(), + DIRECT_PREFIX_COMPACT_SCRATCH_LEN, + "direct-prefix compact scratch requires exactly {DIRECT_PREFIX_COMPACT_SCRATCH_LEN} lanes" + ); + for (index, lane) in scratch.iter().enumerate() { + assert!( + scratch[..index] + .iter() + .all(|other| other.id() != lane.id()), + "direct-prefix compact scratch lane {index} aliases an earlier scratch lane" + ); + assert!( + src.iter().all(|source| source.id() != lane.id()), + "direct-prefix compact scratch lane {index} aliases the source" + ); + assert!( + target.iter().all(|target| target.id() != lane.id()), + "direct-prefix compact scratch lane {index} aliases the target" + ); + } +} + +fn assert_direct_prefix_compact7_scratch( + src: &[&QReg], + target: &[QReg], + scratch: &[&QReg], +) { + assert_eq!( + scratch.len(), + DIRECT_PREFIX_COMPACT7_SCRATCH_LEN, + "direct-prefix compact7 scratch requires exactly {DIRECT_PREFIX_COMPACT7_SCRATCH_LEN} lanes" + ); + assert_eq!( + target.len(), + 4, + "direct-prefix compact7 scratch is sealed to four-bit targets" + ); + for (index, lane) in scratch.iter().enumerate() { + assert!( + scratch[..index] + .iter() + .all(|other| other.id() != lane.id()), + "direct-prefix compact7 scratch lane {index} aliases an earlier scratch lane" + ); + assert!( + src.iter().all(|source| source.id() != lane.id()), + "direct-prefix compact7 scratch lane {index} aliases the source" + ); + assert!( + target.iter().all(|target| target.id() != lane.id()), + "direct-prefix compact7 scratch lane {index} aliases the target" + ); + } +} + +fn assert_fused_zero_prefix_preconditions( + src: &[&QReg], + target: &[QReg], + dirty_updates: bool, + no_materialized_flag: bool, + increment_scratch: &[&QReg], + full_scratch: Option<&[&QReg]>, + omitted_high_bits: usize, +) { + assert_eq!( + std::env::var("LOWQ_DIRECT_PREFIX_BITLEN").ok().as_deref(), + Some("1"), + "LOWQ_FUSED_ZERO_PREFIX_BITLEN requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + assert!( + !target.is_empty(), + "fused zero-prefix bit length requires a nonempty target" + ); + let target_capacity = 1usize.checked_shl(target.len() as u32); + let target_is_wide_enough = target_capacity.is_none_or(|capacity| src.len() < capacity); + let split_high_is_wide_enough = omitted_high_bits > 0 + && target_capacity.is_none_or(|capacity| { + capacity + .checked_shl(omitted_high_bits as u32) + .is_none_or(|split_capacity| src.len() < split_capacity) + }); + assert!( + target_is_wide_enough || split_high_is_wide_enough, + "fused zero-prefix target width {} cannot represent source width {}", + target.len(), + src.len() + ); + assert!( + !no_materialized_flag || dirty_updates, + "LOWQ_DIRECT_PREFIX_NO_FLAG requires LOWQ_DIRECT_PREFIX_DIRTY_UPDATE=1" + ); + + for (index, lane) in src.iter().enumerate() { + assert!( + src[..index].iter().all(|other| other.id() != lane.id()), + "fused zero-prefix source lane {index} aliases an earlier source lane" + ); + assert!( + target.iter().all(|other| other.id() != lane.id()), + "fused zero-prefix source lane {index} aliases the target" + ); + } + for (index, lane) in target.iter().enumerate() { + assert!( + target[..index] + .iter() + .all(|other| other.id() != lane.id()), + "fused zero-prefix target lane {index} aliases an earlier target lane" + ); + } + for (index, lane) in increment_scratch.iter().enumerate() { + assert!( + increment_scratch[..index] + .iter() + .all(|other| other.id() != lane.id()), + "fused zero-prefix increment scratch lane {index} aliases an earlier scratch lane" + ); + assert!( + src.iter().all(|other| other.id() != lane.id()), + "fused zero-prefix increment scratch lane {index} aliases the source" + ); + assert!( + target.iter().all(|other| other.id() != lane.id()), + "fused zero-prefix increment scratch lane {index} aliases the target" + ); + } + if let Some(scratch) = full_scratch { + if scratch.len() == DIRECT_PREFIX_COMPACT7_SCRATCH_LEN { + assert!(!dirty_updates && !no_materialized_flag); + assert_eq!( + omitted_high_bits, 5, + "compact7 direct-prefix scratch is sealed to split-five bit length" + ); + assert!( + crate::point_add::trailmix_port::arith::khattar_gidney::kg_prefix_ancilla_count( + target.len(), + ) + 1 + <= scratch.len() - DIRECT_PREFIX_KG_SCRATCH_LEN, + "compact7 direct-prefix scratch needs room for exact increment ancillae and one flag" + ); + assert_direct_prefix_compact7_scratch(src, target, scratch); + } else if scratch.len() == DIRECT_PREFIX_COMPACT_SCRATCH_LEN { + assert!(!dirty_updates && !no_materialized_flag); + assert!( + crate::point_add::trailmix_port::arith::khattar_gidney::kg_prefix_ancilla_count( + target.len(), + ) + 1 + <= DIRECT_PREFIX_INCREMENT_SCRATCH_LEN, + "compact direct-prefix scratch needs room for exact increment ancillae and one flag" + ); + assert_direct_prefix_compact_scratch(src, target, scratch); + } else { + assert_direct_prefix_full_scratch(src, target, scratch); + } + } +} + +/// Add or subtract `bitlen(src)` without materializing the MSB position. +/// +/// Let `z_i(src) = product_{j=n-i}^{n-1}(1-src_j)`. The prefix-AND traversal +/// over the complemented, MSB-first source exposes `z_i` at callback `i`, so +/// +/// bitlen(src) = n - sum_{i=1}^n z_i(src). +/// +/// The `i=n` term is enabled only by `LOWQ_FUSED_ZERO_PREFIX_BITLEN`; without +/// it the historical nonzero-source traversal is preserved. We first +/// add/subtract the classical constant `n`, then apply the opposite unit update +/// for every selected all-zero prefix. This removes the ten-qubit position +/// register and its variable add. The prefix producer still uses only +/// `log*(n)` clean ancillae; each unit update is on the ten-bit length target, +/// so the extra Toffoli work is polynomial and bounded by O(n log n). +fn bit_length_lean_direct_prefix( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + dirty_updates: bool, + no_materialized_flag: bool, + increment_scratch: &[&QReg], + full_scratch: Option<&[&QReg]>, + source_is_complemented: bool, + omitted_high_bits: usize, +) { + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + cdec_khattar_gidney_refs_with_anc_exact_reverse, + cinc_khattar_gidney_refs_with_anc, kg_prefix_ancilla_count, KgPrefixAnd, + }; + use crate::point_add::trailmix_port::arith::ripple_add::{add_const, sub_const}; + + let n = src.len(); + if n == 0 { + return; + } + let fuse_zero_prefix = lowq_fused_zero_prefix_bitlen_requested(); + if source_is_complemented { + assert!( + fuse_zero_prefix, + "pre-complemented bit length requires fused zero-prefix semantics" + ); + assert!( + n > 1, + "pre-complemented bit length does not support the one-bit fast path" + ); + } + let reverse_caller_scratch_decrement = caller_scratch_kg_reverse_decrement_requested(); + if fuse_zero_prefix { + assert_fused_zero_prefix_preconditions( + src, + s, + dirty_updates, + no_materialized_flag, + increment_scratch, + full_scratch, + omitted_high_bits, + ); + } + debug_assert!( + (n as u128) < (1u128 << (s.len() + omitted_high_bits)), + "bit_length_lean_direct_prefix: target width {} too small for n={n}", + s.len() + ); + + if let Some(scratch) = full_scratch { + let compact7_scratch = scratch.len() == DIRECT_PREFIX_COMPACT7_SCRATCH_LEN; + let compact_scratch = scratch.len() == DIRECT_PREFIX_COMPACT_SCRATCH_LEN; + assert!( + !dirty_updates, + "direct-prefix caller scratch forbids dirty updates" + ); + assert!( + !no_materialized_flag, + "direct-prefix caller scratch requires a materialized flag" + ); + if compact7_scratch { + assert_eq!( + omitted_high_bits, 5, + "compact7 direct-prefix scratch is sealed to split-five bit length" + ); + assert!( + kg_prefix_ancilla_count(s.len()) + 1 + <= scratch.len() - DIRECT_PREFIX_KG_SCRATCH_LEN, + "compact7 direct-prefix scratch needs room for exact increment ancillae and one flag" + ); + assert_direct_prefix_compact7_scratch(src, s, scratch); + } else if compact_scratch { + assert!( + kg_prefix_ancilla_count(s.len()) + 1 + <= DIRECT_PREFIX_INCREMENT_SCRATCH_LEN, + "compact direct-prefix scratch needs room for exact increment ancillae and one flag" + ); + assert_direct_prefix_compact_scratch(src, s, scratch); + } else { + assert_direct_prefix_full_scratch(src, s, scratch); + } + assert!( + increment_scratch.is_empty(), + "direct-prefix full scratch cannot be combined with increment-only scratch" + ); + assert!( + kg_prefix_ancilla_count(n) <= DIRECT_PREFIX_KG_SCRATCH_LEN, + "direct-prefix source width {n} exceeds the five-lane KG scratch budget" + ); + assert!( + kg_prefix_ancilla_count(s.len()) <= DIRECT_PREFIX_INCREMENT_SCRATCH_LEN, + "direct-prefix target width {} exceeds the three-lane increment scratch budget", + s.len() + ); + } + + let full_increment_scratch = full_scratch.map(|scratch| { + let count = kg_prefix_ancilla_count(s.len()); + &scratch[DIRECT_PREFIX_KG_SCRATCH_LEN..DIRECT_PREFIX_KG_SCRATCH_LEN + count] + }); + let borrowed_flag = full_scratch.map(|scratch| { + let index = if scratch.len() == DIRECT_PREFIX_FULL_SCRATCH_LEN { + DIRECT_PREFIX_FULL_SCRATCH_LEN - 1 + } else if scratch.len() == DIRECT_PREFIX_COMPACT7_SCRATCH_LEN { + DIRECT_PREFIX_COMPACT7_SCRATCH_LEN - 1 + } else { + assert_eq!(scratch.len(), DIRECT_PREFIX_COMPACT_SCRATCH_LEN); + DIRECT_PREFIX_COMPACT_SCRATCH_LEN - 1 + }; + assert!( + DIRECT_PREFIX_KG_SCRATCH_LEN + kg_prefix_ancilla_count(s.len()) <= index + ); + scratch[index] + }); + if fuse_zero_prefix && n == 1 { + // bitlen(x_0) = 1 - (1 - x_0) = x_0. Avoid emitting the general + // constant-plus-prefix decomposition for this exact base case. + let control = src[0]; + let sref: Vec<&QReg> = s.iter().collect(); + let scratch = full_increment_scratch.unwrap_or(increment_scratch); + if scratch.len() >= kg_prefix_ancilla_count(sref.len()) { + if dec { + for lane in &sref { + circ.x(lane); + } + } + cinc_khattar_gidney_refs_with_anc(circ, &sref, control, scratch); + if dec { + for lane in &sref { + circ.x(lane); + } + } + } else if dec { + ctrl_dec_refs(circ, control, &sref); + } else { + ctrl_inc_refs(circ, control, &sref); + } + return; + } + if let (Some(control), Some(constant_scratch)) = (borrowed_flag, full_increment_scratch) { + // n = sum_i n_i 2^i. Add each set term by incrementing s[i..]. The + // default decrement uses x - 1 = NOT(NOT(x) + 1); the opt-in route + // emits the literal reverse CINC stream instead. The borrowed flag is + // temporarily |1>, and the same three clean increment lanes used by + // the prefix callbacks keep this fixed-constant update allocation-free. + let s_refs: Vec<&QReg> = s.iter().collect(); + circ.x(control); + for bit in 0..s.len() { + if ((n >> bit) & 1) == 0 { + continue; + } + let suffix = &s_refs[bit..]; + if dec && reverse_caller_scratch_decrement { + cdec_khattar_gidney_refs_with_anc_exact_reverse( + circ, + suffix, + control, + constant_scratch, + ); + } else { + if dec { + for lane in suffix { + circ.x(lane); + } + } + cinc_khattar_gidney_refs_with_anc(circ, suffix, control, constant_scratch); + if dec { + for lane in suffix { + circ.x(lane); + } + } + } + } + circ.x(control); + } else { + let n_bytes = n.to_le_bytes(); + if dec { + sub_const(circ, s, &n_bytes); + } else { + add_const(circ, s, &n_bytes); + } + } + let prefix_allocation_serial = full_scratch.map(|_| circ.b.allocation_serial); + + if !source_is_complemented { + for q in src { + circ.x(q); + } + } + let qbits: Vec<&QReg> = src.iter().rev().copied().collect(); + let anc_owned = if full_scratch.is_some() { + Vec::new() + } else { + circ.alloc_qreg_bits( + "bll.direct-prefix.kganc", + kg_prefix_ancilla_count(n), + ) + }; + let anc: Vec<&QReg> = full_scratch.map_or_else( + || anc_owned.iter().collect(), + |scratch| scratch[..DIRECT_PREFIX_KG_SCRATCH_LEN].to_vec(), + ); + let increment_scratch = full_increment_scratch.unwrap_or(increment_scratch); + let sref: Vec<&QReg> = s.iter().collect(); + let dirty_candidates: Vec<&QReg> = qbits + .iter() + .copied() + .chain(anc.iter().copied()) + .collect(); + let direct_double_control = dirty_updates + && no_materialized_flag + && dirty_candidates.len().saturating_sub(2) >= sref.len().saturating_sub(1); + let flag_owned = if direct_double_control || borrowed_flag.is_some() { + None + } else { + Some(circ.alloc_qreg("bll.direct-prefix.flag")) + }; + let flag = if direct_double_control { + None + } else { + borrowed_flag.or(flag_owned.as_ref()) + }; + + let done = KgPrefixAnd::new(&qbits, &anc).forward(circ, |c, i, controls| { + // i=0 is the empty prefix already accounted for by the constant n. + // Historically i=n was omitted and repaired by a separate zero flag. + if i == 0 || i > n || (i == n && !fuse_zero_prefix) { + return; + } + let update = |c: &mut Circuit, control: &QReg| { + let dirty_available = dirty_candidates + .iter() + .filter(|candidate| candidate.id() != control.id()) + .count(); + if dirty_updates && dirty_available >= sref.len().saturating_sub(2) { + dirty_controlled_inc_suffix( + c, + &[control], + &sref, + 0, + !dec, + &dirty_candidates, + ); + } else if increment_scratch.len() >= kg_prefix_ancilla_count(sref.len()) { + if dec { + cinc_khattar_gidney_refs_with_anc(c, &sref, control, increment_scratch); + } else if reverse_caller_scratch_decrement { + cdec_khattar_gidney_refs_with_anc_exact_reverse( + c, + &sref, + control, + increment_scratch, + ); + } else { + for q in &sref { + c.x(q); + } + cinc_khattar_gidney_refs_with_anc(c, &sref, control, increment_scratch); + for q in &sref { + c.x(q); + } + } + } else if dec { + ctrl_inc_refs(c, control, &sref); + } else { + ctrl_dec_refs(c, control, &sref); + } + }; + match controls { + [control] => update(c, control), + [a, b] => { + if direct_double_control { + dirty_controlled_inc_suffix( + c, + &[a, b], + &sref, + 0, + !dec, + &dirty_candidates, + ); + } else { + let flag = flag.expect("materialized prefix flag"); + c.ccx(a, b, flag); + update(c, flag); + c.clear_and(flag, a, b); + } + } + _ => unreachable!("KG prefix controls must contain one or two qubits"), + } + }); + done.reverse(circ, |_, _, _| {}); + + if let Some(flag) = flag_owned { + circ.zero_and_free(flag); + } + drop(anc); + for q in anc_owned { + circ.zero_and_free(q); + } + if !source_is_complemented { + for q in src { + circ.x(q); + } + } + if let Some(allocation_serial) = prefix_allocation_serial { + assert_eq!( + circ.b.allocation_serial, allocation_serial, + "caller-supplied direct-prefix traversal allocated an internal qubit" + ); + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct DirectPrefixBitLengthProofReport { + pub cases_checked: usize, + pub directions_checked: usize, + pub maximum_extra_qubits: usize, + pub maximum_emitted_ops: usize, + pub maximum_emitted_toffoli: usize, +} + +/// Exhaustively verify the direct-prefix update for every nonzero eight-bit +/// source, every five-bit accumulator value, and both add/subtract directions. +/// This is a production-build diagnostic because the inherited crate-wide test +/// target currently contains unrelated stale tests and missing dev dependencies. +#[doc(hidden)] +fn direct_prefix_bit_length_roundtrip_check_mode( + dirty_updates: bool, + no_materialized_flag: bool, +) -> DirectPrefixBitLengthProofReport { + use crate::circuit::{OperationType, QubitId}; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + let mut cases_checked = 0usize; + let mut maximum_extra_qubits = 0usize; + let mut maximum_emitted_ops = 0usize; + let mut maximum_emitted_toffoli = 0usize; + + for dec in [false, true] { + let mut circuit = Circuit::new(); + let source = circuit.alloc_qreg_bits("direct-bitlen-proof.source", 8); + let target = circuit.alloc_qreg_bits("direct-bitlen-proof.target", 5); + let source_refs: Vec<&QReg> = source.iter().collect(); + bit_length_lean_direct_prefix( + &mut circuit, + &source_refs, + &target, + dec, + dirty_updates, + no_materialized_flag, + &[], + None, + false, + 0, + ); + + let source_ids: Vec = source.iter().map(QReg::id).collect(); + let target_ids: Vec = target.iter().map(QReg::id).collect(); + let external: Vec = source_ids + .iter() + .chain(target_ids.iter()) + .copied() + .collect(); + let builder = circuit.into_builder(); + maximum_extra_qubits = maximum_extra_qubits + .max(builder.peak_qubits as usize - external.len()); + maximum_emitted_ops = maximum_emitted_ops.max(builder.ops.len()); + maximum_emitted_toffoli = maximum_emitted_toffoli.max( + builder + .ops + .iter() + .filter(|op| matches!(op.kind, OperationType::CCX | OperationType::CCZ)) + .count(), + ); + + let cases: Vec<(u64, u64)> = (1u64..=255) + .flat_map(|source_value| { + (0u64..32).map(move |target_value| (source_value, target_value)) + }) + .collect(); + for (batch, chunk) in cases.chunks(64).enumerate() { + let mut seed = Shake128::default(); + seed.update(if dec { + b"direct-prefix-bitlen-sub" + } else { + b"direct-prefix-bitlen-add" + }); + seed.update(&(batch as u64).to_le_bytes()); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + builder.next_qubit as usize, + builder.next_bit as usize, + &mut xof, + ); + for (shot, &(source_value, target_value)) in chunk.iter().enumerate() { + for (bit, &id) in source_ids.iter().enumerate() { + if (source_value >> bit) & 1 == 1 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + for (bit, &id) in target_ids.iter().enumerate() { + if (target_value >> bit) & 1 == 1 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(builder.ops.iter()); + let live = if chunk.len() == 64 { + u64::MAX + } else { + (1u64 << chunk.len()) - 1 + }; + assert_eq!( + simulator.phase & live, + 0, + "direct prefix update left phase garbage in batch {batch}" + ); + + for (shot, &(source_value, target_value)) in chunk.iter().enumerate() { + let bit_length = 64 - source_value.leading_zeros() as u64; + let expected = if dec { + target_value.wrapping_sub(bit_length) & 31 + } else { + target_value.wrapping_add(bit_length) & 31 + }; + let read = |ids: &[u32]| { + ids.iter().enumerate().fold(0u64, |value, (bit, &id)| { + value + | (((simulator.qubit(QubitId(u64::from(id))) >> shot) & 1) << bit) + }) + }; + assert_eq!( + read(&source_ids), + source_value, + "source changed in batch {batch}, shot {shot}" + ); + assert_eq!( + read(&target_ids), + expected, + "target mismatch in batch {batch}, shot {shot}" + ); + } + for id in 0..builder.next_qubit { + if !external.contains(&id) { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))) & live, + 0, + "direct prefix update left internal q{id} dirty in batch {batch}" + ); + } + } + cases_checked += chunk.len(); + } + } + + DirectPrefixBitLengthProofReport { + cases_checked, + directions_checked: 2, + maximum_extra_qubits, + maximum_emitted_ops, + maximum_emitted_toffoli, + } +} + +#[doc(hidden)] +pub fn direct_prefix_bit_length_roundtrip_check() -> DirectPrefixBitLengthProofReport { + direct_prefix_bit_length_roundtrip_check_mode(false, false) +} + +#[doc(hidden)] +pub fn direct_prefix_dirty_bit_length_roundtrip_check() -> DirectPrefixBitLengthProofReport { + direct_prefix_bit_length_roundtrip_check_mode(true, false) +} + +#[doc(hidden)] +pub fn direct_prefix_no_flag_bit_length_roundtrip_check() -> DirectPrefixBitLengthProofReport { + direct_prefix_bit_length_roundtrip_check_mode(true, true) +} + +/// `s += bitlen(src)` (or `-=` if dec). Built from [`bit_length_lean_middle`]: +/// pos = MSB index in the middle, then `s ±= (pos + 1)`. With `dec` this clears a +/// register `s` that already holds `bitlen(src)` (the "same method" both ways). +#[derive(Clone, Copy)] +struct BitLengthCallsiteTrace { + sections: [&'static str; 2], + next: usize, +} + +thread_local! { + static BIT_LENGTH_CALLSITE_TRACE: std::cell::Cell> = + const { std::cell::Cell::new(None) }; +} + +/// Relabel an existing bit-length compute/uncompute pair without adding a +/// section transition, allocation, or emitted operation. +pub(crate) fn with_bit_length_callsite( + deposit_section: &'static str, + erase_section: &'static str, + body: impl FnOnce() -> R, +) -> R { + let previous = BIT_LENGTH_CALLSITE_TRACE.with(|trace| { + trace.replace(Some(BitLengthCallsiteTrace { + sections: [deposit_section, erase_section], + next: 0, + })) + }); + assert!(previous.is_none(), "nested bit-length call-site tracing is unsupported"); + let result = body(); + let completed = BIT_LENGTH_CALLSITE_TRACE + .with(|trace| trace.replace(previous)) + .expect("bit-length call-site trace disappeared"); + assert_eq!( + completed.next, 2, + "bit-length call-site trace expected one compute/uncompute pair" + ); + result +} + +fn bit_length_section() -> &'static str { + BIT_LENGTH_CALLSITE_TRACE.with(|trace| { + let Some(mut current) = trace.get() else { + return "p.bitlen"; + }; + assert!( + current.next < current.sections.len(), + "bit-length call-site emitted more than one compute/uncompute pair" + ); + let section = current.sections[current.next]; + current.next += 1; + trace.set(Some(current)); + section + }) +} + +fn bit_length_lean_impl( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + increment_scratch: &[&QReg], + full_scratch: Option<&[&QReg]>, + source_is_complemented: bool, + omitted_high_bits: usize, +) { + let n = src.len(); + if n == 0 { + return; + } + let pbl = circ.push_section(bit_length_section()); + if lowq_direct_prefix_bitlen_requested() { + bit_length_lean_direct_prefix( + circ, + src, + s, + dec, + lowq_direct_prefix_dirty_update_requested(), + lowq_direct_prefix_no_flag_requested(), + increment_scratch, + full_scratch, + source_is_complemented, + omitted_high_bits, + ); + circ.pop_section(&pbl); + return; + } + assert!( + !source_is_complemented, + "pre-complemented bit length requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + // pos holds transient gray values up to (n-1)^n < 2n; reuse s's width (equal- + // width so the Cuccaro add s += pos is clean). + let pos_w = s.len(); + debug_assert!( + (n as u64) <= (1u64 << (pos_w - 1)), + "bit_length_lean: s width {pos_w} too small for n={n}" + ); + let pos = circ.alloc_qreg_bits("bll.pos", pos_w); + xor_const(circ, &pos, n); // pos = n (PRE for the middle) + bit_length_lean_middle(circ, src, &pos, |circ| { + // pos = MSB index = bitlen-1; s ±= (pos + 1). + if dec { + for q in s { + circ.x(q); + } + } + let pref: Vec<&QReg> = pos.iter().collect(); + let sref: Vec<&QReg> = s.iter().collect(); + add_refs(circ, &sref, &pref); // s += pos + let one = circ.alloc_qreg("bll.one"); + circ.x(&one); + ctrl_inc(circ, &one, s); // s += 1 (bitlen = p + 1) + circ.x(&one); + circ.zero_and_free(one); + if dec { + for q in s { + circ.x(q); + } + } + true // pos is a throwaway temp -> clean on reverse (4n) + }); + xor_const(circ, &pos, n); // pos back to |0> + for q in pos { + circ.zero_and_free(q); + } + circ.pop_section(&pbl); +} + +pub(crate) fn bit_length_lean(circ: &mut Circuit, src: &[&QReg], s: &[QReg], dec: bool) { + bit_length_lean_impl(circ, src, s, dec, &[], None, false, 0); +} + +/// Apply the direct-prefix bit-length update while `src` is already bitwise +/// complemented. The source remains complemented on return. +pub(crate) fn bit_length_lean_complemented_source( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, +) { + bit_length_lean_impl(circ, src, s, dec, &[], None, true, 0); +} + +pub(crate) fn bit_length_lean_with_increment_scratch( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + increment_scratch: &[&QReg], +) { + bit_length_lean_impl( + circ, + src, + s, + dec, + increment_scratch, + None, + false, + 0, + ); +} + +pub(crate) fn bit_length_lean_with_full_prefix_scratch( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "full direct-prefix scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + bit_length_lean_impl( + circ, + src, + s, + dec, + &[], + Some(full_scratch), + false, + 0, + ); +} + +/// Full-scratch variant of [`bit_length_lean_complemented_source`]. +pub(crate) fn bit_length_lean_with_full_prefix_scratch_complemented_source( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "full direct-prefix scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + bit_length_lean_impl( + circ, + src, + s, + dec, + &[], + Some(full_scratch), + true, + 0, + ); +} + +/// Compute the low bits of `bitlen(src)` modulo `2^s.len()`. The caller +/// separately owns and restores the single omitted high bit. +pub(crate) fn bit_length_lean_with_full_prefix_scratch_split_high( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], + source_is_complemented: bool, +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "split-high full scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + bit_length_lean_impl( + circ, + src, + s, + dec, + &[], + Some(full_scratch), + source_is_complemented, + 1, + ); +} + +/// Compute the low bits of `bitlen(src)` while the caller separately owns and +/// restores two omitted high bits. +pub(crate) fn bit_length_lean_with_full_prefix_scratch_split_two_high( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], + source_is_complemented: bool, +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "split-two-high full scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + bit_length_lean_impl( + circ, + src, + s, + dec, + &[], + Some(full_scratch), + source_is_complemented, + 2, + ); +} + +/// Compute the six low bits of `bitlen(src)` while the caller separately owns +/// and restores the three omitted high bits. +pub(crate) fn bit_length_lean_with_full_prefix_scratch_split_three_high( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], + source_is_complemented: bool, +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "split-three-high full scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + bit_length_lean_impl( + circ, + src, + s, + dec, + &[], + Some(full_scratch), + source_is_complemented, + 3, + ); +} + +/// Compute the five low bits of `bitlen(src)` while the caller separately +/// owns and restores the four omitted high bits. +pub(crate) fn bit_length_lean_with_full_prefix_scratch_split_four_high( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], + source_is_complemented: bool, +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "split-four-high full scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + bit_length_lean_impl( + circ, + src, + s, + dec, + &[], + Some(full_scratch), + source_is_complemented, + 4, + ); +} + +/// Compute the four low bits of `bitlen(src)` while the caller separately +/// owns and restores the five omitted high bits. +pub(crate) fn bit_length_lean_with_full_prefix_scratch_split_five_high( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], + source_is_complemented: bool, +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "split-five-high full scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + bit_length_lean_impl( + circ, + src, + s, + dec, + &[], + Some(full_scratch), + source_is_complemented, + 5, + ); +} + +/// Eight-lane split-five variant used by the Q825 direct-metadata route. A +/// four-bit accumulator needs one increment ancilla, so the last lane of the +/// generic three-lane increment budget can host the materialized prefix flag. +pub(crate) fn bit_length_lean_with_compact_prefix_scratch_split_five_high( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], + source_is_complemented: bool, +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "split-five-high compact scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + assert_eq!(full_scratch.len(), DIRECT_PREFIX_COMPACT_SCRATCH_LEN); + let section = circ.push_section(bit_length_section()); + bit_length_lean_direct_prefix( + circ, + src, + s, + dec, + false, + false, + &[], + Some(full_scratch), + source_is_complemented, + 5, + ); + circ.pop_section(§ion); +} + +/// Seven-lane split-five variant used when the caller's four-bit length target +/// needs only one increment ancilla and a materialized prefix flag. +pub(crate) fn bit_length_lean_with_compact7_prefix_scratch_split_five_high( + circ: &mut Circuit, + src: &[&QReg], + s: &[QReg], + dec: bool, + full_scratch: &[&QReg], + source_is_complemented: bool, +) { + assert!( + lowq_direct_prefix_bitlen_requested(), + "split-five-high compact7 scratch requires LOWQ_DIRECT_PREFIX_BITLEN=1" + ); + assert_eq!(full_scratch.len(), DIRECT_PREFIX_COMPACT7_SCRATCH_LEN); + assert_eq!(s.len(), 4); + let section = circ.push_section(bit_length_section()); + bit_length_lean_direct_prefix( + circ, + src, + s, + dec, + false, + false, + &[], + Some(full_scratch), + source_is_complemented, + 5, + ); + circ.pop_section(§ion); +} + +fn lowq_clz_diff_const_fold_enabled() -> bool { + if std::env::var("LOWQ_CLZ_DIFF_CONST_FOLD").ok().as_deref() != Some("1") { + return false; + } + let target = std::env::var("TRAILMIX_Q_TARGET") + .ok() + .and_then(|value| value.parse::().ok()) + .expect("LOWQ_CLZ_DIFF_CONST_FOLD requires an integer TRAILMIX_Q_TARGET"); + assert!( + matches!(target, 683 | 684 | 685), + "LOWQ_CLZ_DIFF_CONST_FOLD repair audit permits Q_TARGET 683/684/685" + ); + true +} + +fn lowq_hybrid_clz_enabled() -> bool { + if std::env::var("LOWQ_HYBRID_CLZ").ok().as_deref() != Some("1") { + return false; + } + assert_eq!( + trailmix_logical_srot_width(), + 5, + "LOWQ_HYBRID_CLZ requires the five-bit shift register" + ); + assert_eq!( + env_usize("TRAILMIX_THIN_CLZ_WINDOW", 0), + 78, + "LOWQ_HYBRID_CLZ is sealed to the audited 78-bit windows" + ); + assert!( + matches!(env_usize("TRAILMIX_Q_TARGET", 0), 683 | 684 | 685), + "LOWQ_HYBRID_CLZ repair audit permits Q_TARGET 683/684/685" + ); + true +} + +fn lowq_exact_ctz_enabled() -> bool { + if std::env::var("LOWQ_EXACT_CTZ").ok().as_deref() != Some("1") { + return false; + } + assert_eq!( + trailmix_logical_srot_width(), + 5, + "LOWQ_EXACT_CTZ requires the five-bit shift register" + ); + assert!( + matches!(env_usize("TRAILMIX_Q_TARGET", 0), 683 | 684 | 685), + "LOWQ_EXACT_CTZ repair audit permits Q_TARGET 683/684/685" + ); + true +} + +fn lowq_hybrid_clz_kg_mcx_enabled() -> bool { + std::env::var("LOWQ_HYBRID_CLZ_KG_MCX").ok().as_deref() == Some("1") +} + +fn lowq_hybrid_clz_prefix_parity_enabled() -> bool { + std::env::var("LOWQ_HYBRID_CLZ_PREFIX_PARITY").ok().as_deref() == Some("1") +} + +fn lowq_hybrid_clz_noalloc_add_enabled() -> bool { + std::env::var("LOWQ_HYBRID_CLZ_NOALLOC_ADD").ok().as_deref() == Some("1") +} + +fn lowq_q948_direct_hclz_peak_guard_enabled() -> bool { + if std::env::var("LOWQ_Q948_DIRECT_HCLZ_PEAK_GUARD") + .ok() + .as_deref() + != Some("1") + { + return false; + } + assert_eq!( + std::env::var("LOWQ_Q949_AFFINE_COUNTER").ok().as_deref(), + Some("1"), + "LOWQ_Q948_DIRECT_HCLZ_PEAK_GUARD requires the affine-counter route" + ); + assert_eq!( + std::env::var("LOWQ_Q949_ROBUST_SYMMETRIC_SCHEDULE") + .ok() + .as_deref(), + Some("1"), + "LOWQ_Q948_DIRECT_HCLZ_PEAK_GUARD requires the robust symmetric schedule" + ); + let q947_route = q947_passenger_direct_hclz_requested(); + assert_eq!( + std::env::var("LOWQ_PASSENGER_TOP_LIFETIME_EXPERIMENT") + .ok() + .as_deref(), + Some(if q947_route { "1" } else { "0" }), + "direct HCLZ passenger composition drift" + ); + if q947_route { + assert_eq!( + std::env::var("LOWQ_BORROWED_TRANSCRIPT_EXPERIMENT") + .ok() + .as_deref(), + Some("1"), + "Q947 direct HCLZ requires the six-owned-plus-one-borrowed transcript" + ); + assert_eq!( + env_usize("TRAILMIX_Q_TARGET", 0), + 683, + "Q947 direct HCLZ is sealed to Q_TARGET=683" + ); + } + assert_eq!( + std::env::var("LOWQ_REVERSE_CA255_RELATIONAL_LOAN_EXPERIMENT") + .ok() + .as_deref(), + Some("0"), + "LOWQ_Q948_DIRECT_HCLZ_PEAK_GUARD keeps the rejected ca[255] relation off" + ); + true +} + +fn lowq_q957_target683_enabled() -> bool { + std::env::var("LOWQ_Q957_TARGET683").ok().as_deref() == Some("1") +} + +fn lowq_q959_selective_borrow_enabled() -> bool { + if std::env::var("LOWQ_Q959_SELECTIVE_BORROW").ok().as_deref() != Some("1") { + return false; + } + assert_eq!( + trailmix_logical_srot_width(), + 5, + "LOWQ_Q959_SELECTIVE_BORROW requires five shift lanes" + ); + assert_eq!( + env_usize("TRAILMIX_THIN_CLZ_WINDOW", 0), + 78, + "LOWQ_Q959_SELECTIVE_BORROW is sealed to the 78-bit schedule" + ); + let q_target = env_usize("TRAILMIX_Q_TARGET", 0); + assert!( + q_target == 684 || (q_target == 683 && lowq_q957_target683_enabled()), + "LOWQ_Q959_SELECTIVE_BORROW requires Q_TARGET=684 or the Q957 target683 route" + ); + assert_eq!( + std::env::var("TRAILMIX_SIGN_PARITY_Q_REUSE").ok().as_deref(), + Some("1"), + "LOWQ_Q959_SELECTIVE_BORROW requires sign/parity fusion" + ); + assert_eq!( + std::env::var("LOWQ_EXACT_CTZ").ok().as_deref(), + Some("1"), + "LOWQ_Q959_SELECTIVE_BORROW requires exact in-place CTZ" + ); + true +} + +fn lowq_q958_gated_compare_enabled() -> bool { + if std::env::var("LOWQ_Q958_GATED_COMPARE").ok().as_deref() != Some("1") { + return false; + } + assert!( + lowq_q959_selective_borrow_enabled(), + "LOWQ_Q958_GATED_COMPARE requires the sealed selective-borrow route" + ); + true +} + +fn lowq_q956_off_borrow_enabled() -> bool { + if std::env::var("LOWQ_Q956_OFF_BORROW").ok().as_deref() != Some("1") { + return false; + } + assert!( + lowq_q958_gated_compare_enabled(), + "LOWQ_Q956_OFF_BORROW requires the sealed Q958 gated-comparator route" + ); + assert!( + lowq_q957_target683_enabled(), + "LOWQ_Q956_OFF_BORROW requires the Q957 target683 route" + ); + let q946_route = q946_second_ownership_release_requested(); + if q947_passenger_direct_hclz_requested() { + assert!( + q946_route, + "Q947 direct-HCLZ may borrow off only through the Q946 ownership route" + ); + } + if q946_route { + assert!( + q947_passenger_direct_hclz_requested() && q949_affine_counter_requested(), + "Q946 second ownership release requires the Q947 affine route" + ); + } + assert_eq!( + env_usize("TRAILMIX_Q_TARGET", 0), + 683, + "LOWQ_Q956_OFF_BORROW is sealed to Q_TARGET=683" + ); + assert_eq!( + env_usize("TRAILMIX_Q_CAP", 0), + 99, + "LOWQ_Q956_OFF_BORROW is sealed to Q_CAP=99" + ); + assert_eq!( + env_usize("TRAILMIX_COUNTER_W", 0), + 8, + "LOWQ_Q956_OFF_BORROW is sealed to the eight-bit counter" + ); + assert_eq!( + trailmix_logical_srot_width(), + 5, + "LOWQ_Q956_OFF_BORROW requires five logical arithmetic shift lanes" + ); + assert!( + std::env::var_os("TRAILMIX_PASSENGER_TOP_Q_REUSE").is_none(), + "LOWQ_Q956_OFF_BORROW forbids passenger-top reuse" + ); + true +} + +fn lowq_q949_affine_counter_enabled() -> bool { + if !q949_affine_counter_requested() { + return false; + } + assert!( + lowq_q958_gated_compare_enabled() && lowq_q957_target683_enabled(), + "LOWQ_Q949_AFFINE_COUNTER requires the sealed target683 comparator route" + ); + assert_eq!( + env_usize("TRAILMIX_Q_TARGET", 0), + 683, + "LOWQ_Q949_AFFINE_COUNTER is sealed to Q_TARGET=683" + ); + assert_eq!( + env_usize("TRAILMIX_Q_CAP", 0), + 99, + "LOWQ_Q949_AFFINE_COUNTER preserves Q_CAP=99" + ); + assert_eq!( + env_usize("TRAILMIX_COUNTER_W", 0), + 8, + "LOWQ_Q949_AFFINE_COUNTER requires an eight-bit logical terminal count" + ); + assert_eq!( + trailmix_srot_width(), + 5, + "LOWQ_Q949_AFFINE_COUNTER requires five owned shift lanes" + ); + assert!( + !q954_srot_counter7_requested() + && std::env::var("LOWQ_Q953_SROT_COUNTER67").ok().as_deref() != Some("1"), + "LOWQ_Q949_AFFINE_COUNTER forbids Q954/Q953 counter aliases" + ); + let q946_route = q946_second_ownership_release_requested(); + assert_eq!( + std::env::var("LOWQ_Q956_OFF_BORROW").ok().as_deref(), + Some(if q946_route { "1" } else { "0" }), + "LOWQ_Q949_AFFINE_COUNTER requires dedicated off outside the Q946 ownership route" + ); + assert_eq!( + std::env::var("LOWQ_Q955_OFF_CANONICAL").ok().as_deref(), + Some("1"), + "LOWQ_Q949_AFFINE_COUNTER preserves the Q955 canonical cleanup" + ); + assert!( + std::env::var_os("TRAILMIX_PASSENGER_TOP_Q_REUSE").is_none(), + "LOWQ_Q949_AFFINE_COUNTER forbids passenger-top reuse" + ); + assert!( + std::env::var_os("TRAILMIX_Q_MODEL_GUARD").is_none(), + "LOWQ_Q949_AFFINE_COUNTER forbids TRAILMIX_Q_MODEL_GUARD" + ); + assert!( + std::env::var_os("TRAILMIX_AB_CAP").is_none() + && std::env::var_os("TRAILMIX_CACB_CAP").is_none(), + "LOWQ_Q949_AFFINE_COUNTER forbids unproved register caps" + ); + let proof_mode = std::env::var("LOWQ_Q949_PROOF_MODE").ok().as_deref() == Some("1"); + let support_certified = if q949_robust_symmetric_schedule_requested() { + std::env::var("LOWQ_Q949_ROBUST_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref() + == Some("1") + } else { + std::env::var("LOWQ_Q949_TERMINAL_SUPPORT_CERTIFIED") + .ok() + .as_deref() + == Some("1") + }; + assert!( + proof_mode || support_certified, + "LOWQ_Q949_AFFINE_COUNTER is fail-closed without proof mode or its route-specific support certificate" + ); + let schedule = q954_srot_counter7_schedule_certificate(); + assert_eq!(schedule.first_terminal_capable_row, Q949_FIRST_TERMINAL_ROW); + assert_eq!(schedule.max_final_counter, 159); + true +} + +/// Borrowed-transcript route. Discovery and census run in proof mode; a +/// certificate-gated profile additionally requires its own fresh-support +/// authorization because the parent robust certificate covers a different +/// committed operation stream. +fn lowq_borrowed_transcript_experiment_enabled() -> bool { + if !borrowed_transcript_experiment_requested() { + return false; + } + assert!( + lowq_q949_affine_counter_enabled() && q949_robust_symmetric_schedule_requested(), + "borrowed transcript requires the robust affine route" + ); + let proof_mode = std::env::var("LOWQ_Q949_PROOF_MODE").ok().as_deref() == Some("1"); + let borrowed_fresh = std::env::var("LOWQ_BORROWED_TRANSCRIPT_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref() + == Some("1"); + assert!( + proof_mode ^ borrowed_fresh, + "borrowed transcript requires exactly one of proof mode or its route-specific fresh certificate" + ); + let parent_fresh = std::env::var("LOWQ_Q949_ROBUST_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref() + == Some("1"); + assert_eq!( + parent_fresh, borrowed_fresh, + "borrowed-transcript profile requires both parent-envelope and route-specific fresh certificates" + ); + true +} + +/// Rejected reverse row-380 relational lender. WMI job 71373 found a fresh +/// trace with `ca[255]=0` while `active AND ca bool { + if !reverse_ca255_relational_loan_requested() { + return false; + } + panic!( + "reverse ca[255] relational loan rejected by fresh WMI job 71373; \ + keep LOWQ_REVERSE_CA255_RELATIONAL_LOAN_EXPERIMENT=0" + ) +} + +/// Passenger lifetime differential. The standalone experiment is structural +/// only; the composed Q947 route additionally admits its own fresh certificate. +fn lowq_passenger_top_lifetime_experiment_enabled() -> bool { + if !passenger_top_lifetime_experiment_requested() { + return false; + } + assert!( + lowq_q949_affine_counter_enabled() && q949_robust_symmetric_schedule_requested(), + "passenger lifetime requires the robust affine route" + ); + assert!( + !q954_srot_counter7_requested(), + "passenger lifetime does not compose with the alternate srot route" + ); + assert_eq!( + std::env::var("LOWQ_Q955_OFF_CANONICAL").ok().as_deref(), + Some("1"), + "passenger lifetime requires canonical field arithmetic" + ); + let proof_mode = std::env::var("LOWQ_Q949_PROOF_MODE").ok().as_deref() == Some("1"); + let q947_route = q947_passenger_direct_hclz_requested(); + let q947_fresh = std::env::var("LOWQ_Q947_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref() + == Some("1"); + if q947_route { + let q946_route = q946_second_ownership_release_requested(); + assert_eq!( + std::env::var("LOWQ_Q956_OFF_BORROW").ok().as_deref(), + Some(if q946_route { "1" } else { "0" }), + "Q947 off ownership drift" + ); + assert_eq!( + std::env::var("LOWQ_Q948_DIRECT_HCLZ_PEAK_GUARD") + .ok() + .as_deref(), + Some("1"), + "Q947 passenger release requires direct HCLZ" + ); + assert_eq!( + std::env::var("LOWQ_BORROWED_TRANSCRIPT_EXPERIMENT") + .ok() + .as_deref(), + Some("1"), + "Q947 passenger release requires borrowed transcript" + ); + assert!( + proof_mode ^ q947_fresh, + "Q947 passenger release requires exactly one of proof mode or its fresh certificate" + ); + let parent_fresh = std::env::var("LOWQ_Q949_ROBUST_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref() + == Some("1"); + let borrowed_fresh = + std::env::var("LOWQ_BORROWED_TRANSCRIPT_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref() + == Some("1"); + assert!( + parent_fresh == q947_fresh && borrowed_fresh == q947_fresh, + "Q947 profile requires parent, borrowed-transcript, and Q947 certificates together" + ); + } else { + assert!( + proof_mode && !q947_fresh, + "standalone passenger lifetime is structural-only and requires proof mode" + ); + assert_ne!( + std::env::var("LOWQ_Q949_ROBUST_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref(), + Some("1"), + "standalone passenger lifetime cannot inherit the parent certificate" + ); + } + true +} + +fn lowq_q955_off_canonical_enabled() -> bool { + if std::env::var("LOWQ_Q955_OFF_CANONICAL").ok().as_deref() != Some("1") { + return false; + } + assert!( + lowq_q956_off_borrow_enabled() || q949_affine_counter_requested(), + "LOWQ_Q955_OFF_CANONICAL requires Q956 off-borrow or the Q949 affine route" + ); + assert_eq!( + env_usize("TRAILMIX_Q_TARGET", 0), + 683, + "LOWQ_Q955_OFF_CANONICAL is sealed to Q_TARGET=683" + ); + assert_eq!( + env_usize("TRAILMIX_Q_CAP", 0), + 99, + "LOWQ_Q955_OFF_CANONICAL preserves the Q_CAP=99 support widths" + ); + assert_eq!(env_usize("TRAILMIX_COUNTER_W", 0), 8); + assert!( + std::env::var_os("TRAILMIX_PASSENGER_TOP_Q_REUSE").is_none(), + "LOWQ_Q955_OFF_CANONICAL forbids passenger-top reuse" + ); + assert!( + std::env::var_os("TRAILMIX_Q_MODEL_GUARD").is_none(), + "LOWQ_Q955_OFF_CANONICAL forbids TRAILMIX_Q_MODEL_GUARD" + ); + true +} + +const Q954_FIRST_TERMINAL_ROW: usize = 371; +const Q954_LAST_CTZ_BIT4_ROW: usize = 477; +const Q954_LAST_RAW_BIT4_BARREL_ROW: usize = 495; +const Q954_MAX_PRE_BODY_COUNTER: usize = 124; +const Q954_MAX_FINAL_COUNTER: usize = 159; +const Q954_SCHEDULE_FINGERPRINT: u64 = 0xf128_4a16_5e9c_235d; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q954ScheduleCertificate { + pub rows: usize, + pub first_terminal_capable_row: usize, + pub last_ctz_bit4_row: usize, + pub last_raw_bit4_barrel_row: usize, + pub max_pre_body_counter: usize, + pub max_final_counter: usize, + pub fingerprint: u64, +} + +/// Bind the counter[7] alias proof to the exact generated 530-row schedule. +/// Terminal timing is authoritative support metadata; the raw barrel cutoff is +/// also re-derived from the checked shift-bound rows. Any schedule-array change +/// must be reviewed and issued a new fingerprint before this route can run. +#[doc(hidden)] +pub fn q954_srot_counter7_schedule_certificate() -> Q954ScheduleCertificate { + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::{ + SHRUNKEN_PZ_A, SHRUNKEN_PZ_A_LO, SHRUNKEN_PZ_B, SHRUNKEN_PZ_B_LO, + SHRUNKEN_PZ_CA, SHRUNKEN_PZ_CA_LO, SHRUNKEN_PZ_CB, SHRUNKEN_PZ_CB_LO, + SHRUNKEN_PZ_NSTEPS, SHRUNKEN_PZ_Q, SHRUNKEN_PZ_Q_LO, SHRUNKEN_PZ_S2, + SHRUNKEN_PZ_SDIV, + }; + + static CERTIFICATE: std::sync::OnceLock = + std::sync::OnceLock::new(); + *CERTIFICATE.get_or_init(|| { + fn mix(hash: &mut u64, value: u16) { + for byte in value.to_le_bytes() { + *hash ^= u64::from(byte); + *hash = hash.wrapping_mul(0x100_0000_01b3); + } + } + + assert_eq!(SHRUNKEN_PZ_NSTEPS, 530, "Q954 schedule row-count drift"); + let mut fingerprint = 0xcbf2_9ce4_8422_2325u64; + mix(&mut fingerprint, SHRUNKEN_PZ_NSTEPS as u16); + for rows in [ + &SHRUNKEN_PZ_A, + &SHRUNKEN_PZ_B, + &SHRUNKEN_PZ_CA, + &SHRUNKEN_PZ_CB, + &SHRUNKEN_PZ_Q, + &SHRUNKEN_PZ_A_LO, + &SHRUNKEN_PZ_B_LO, + &SHRUNKEN_PZ_CA_LO, + &SHRUNKEN_PZ_CB_LO, + &SHRUNKEN_PZ_Q_LO, + &SHRUNKEN_PZ_SDIV, + &SHRUNKEN_PZ_S2, + ] { + for &value in rows { + mix(&mut fingerprint, value); + } + } + assert_eq!( + fingerprint, Q954_SCHEDULE_FINGERPRINT, + "Q954 schedule fingerprint drift; reject counter[7] alias" + ); + + let last_raw_bit4_barrel_row = (0..SHRUNKEN_PZ_NSTEPS) + .rev() + .find(|&row| SHRUNKEN_PZ_SDIV[row] >= 16 || SHRUNKEN_PZ_S2[row] >= 16) + .expect("Q954 schedule must exercise barrel bit4"); + assert_eq!( + last_raw_bit4_barrel_row, Q954_LAST_RAW_BIT4_BARREL_ROW, + "Q954 raw bit4 barrel cutoff drift" + ); + assert_eq!( + Q954_LAST_RAW_BIT4_BARREL_ROW - Q954_FIRST_TERMINAL_ROW, + Q954_MAX_PRE_BODY_COUNTER, + "Q954 pre-body counter bound drift" + ); + assert_eq!( + SHRUNKEN_PZ_NSTEPS - Q954_FIRST_TERMINAL_ROW, + Q954_MAX_FINAL_COUNTER, + "Q954 final counter bound drift" + ); + assert!( + Q954_MAX_PRE_BODY_COUNTER < (1 << 7), + "Q954 counter[7] is not clean at the final bit4 barrel use" + ); + assert!( + Q954_MAX_FINAL_COUNTER < (1 << 8), + "Q954 terminal counter exceeds its eight-bit register" + ); + + Q954ScheduleCertificate { + rows: SHRUNKEN_PZ_NSTEPS, + first_terminal_capable_row: Q954_FIRST_TERMINAL_ROW, + last_ctz_bit4_row: Q954_LAST_CTZ_BIT4_ROW, + last_raw_bit4_barrel_row, + max_pre_body_counter: Q954_MAX_PRE_BODY_COUNTER, + max_final_counter: Q954_MAX_FINAL_COUNTER, + fingerprint, + } + }) +} + +fn lowq_q954_srot_counter7_enabled() -> bool { + if !q954_srot_counter7_requested() { + return false; + } + assert!( + lowq_q955_off_canonical_enabled(), + "LOWQ_Q954_SROT_COUNTER7 requires the composed Q955 canonical route" + ); + assert_eq!( + trailmix_srot_width(), + 4, + "LOWQ_Q954_SROT_COUNTER7 allocates exactly four owned shift lanes" + ); + assert_eq!( + trailmix_counter_width(), + 8, + "LOWQ_Q954_SROT_COUNTER7 requires counter[7]" + ); + let certificate = q954_srot_counter7_schedule_certificate(); + assert_eq!(certificate.rows, 530); + true +} + +fn q954_ctz_width(row: usize) -> usize { + if lowq_q954_srot_counter7_enabled() && row > Q954_LAST_CTZ_BIT4_ROW { + 4 + } else { + 5 + } +} + +fn with_arithmetic_srot_view<'a, R>( + owned: &'a [QReg], + counter: &'a [QReg], + body: impl FnOnce(&[&'a QReg]) -> R, +) -> R { + if lowq_q954_srot_counter7_enabled() { + assert_eq!(owned.len(), 4, "Q954 owned shift-lane count drift"); + assert_eq!(counter.len(), 8, "Q954 counter width drift"); + // This borrowed view exists only inside an already-gated arithmetic + // body. The body is an exact cleanup block, so counter[7] is restored + // before gate-holder or done logic evaluates the full counter again. + let split = [ + &owned[0], + &owned[1], + &owned[2], + &owned[3], + &counter[7], + ]; + body(&split) + } else { + let refs: Vec<&QReg> = owned.iter().collect(); + body(&refs) + } +} + +/// Undo the route-specific representation used to reconstruct a field product. +/// Q955 keeps every Horner state canonical; earlier routes retain the original +/// rfold representation and its matched cleanup. +pub(crate) fn shrunken_pz_product_undo( + c: &mut Circuit, + result: &[QReg], + a: &[QReg], + b: &[QReg], +) { + if lowq_q955_off_canonical_enabled() { + crate::point_add::trailmix_port::arith::rfold_mbu::mod_mul_canonical_mbu_undo( + c, result, a, b, + ); + } else { + crate::point_add::trailmix_port::arith::rfold_mbu::mod_mul_rfold_mbu_undo( + c, result, a, b, + ); + } +} + +fn assert_q956_off_alias( + off: &QReg, + counter: &[QReg], + s_rot: &[QReg], +) { + assert!(!counter.is_empty(), "Q956 off borrow requires a counter lane"); + assert!( + std::ptr::eq(off, &counter[0]), + "Q956 off must alias counter[0] exactly" + ); + assert!(s_rot.len() >= 3, "Q956 boundary predicates require s_rot[0..3]"); + assert!( + s_rot.iter().all(|lane| !std::ptr::eq(off, lane)) + && counter[1..].iter().all(|lane| !std::ptr::eq(off, lane)), + "Q956 off alias overlaps a protected state lane" + ); +} + +/// One controlled fixed-distance shift layer. The forward direction is a +/// logical left shift on the promised branch because its top `distance` lanes +/// are zero. Reversing the pair order is the exact inverse for arbitrary data. +fn controlled_fixed_shift( + circ: &mut Circuit, + reg: &[QReg], + control: &QReg, + distance: usize, + forward: bool, +) { + if distance == 0 || distance >= reg.len() { + return; + } + if forward { + for hi in (distance..reg.len()).rev() { + circ.cswap(control, ®[hi], ®[hi - distance]); + } + } else { + for hi in distance..reg.len() { + circ.cswap(control, ®[hi], ®[hi - distance]); + } + } +} + +/// Toggle `out` iff the highest `prefix` lanes of `src` are all zero. The +/// peer register supplies restored dirty lenders and is unchanged. +fn toggle_zero_prefix_dirty( + circ: &mut Circuit, + src: &[QReg], + prefix: usize, + out: &QReg, + peer: &[QReg], + clean_scratch: &[&QReg], +) { + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, xor_and_of_khattar_gidney_refs_with_anc, + }; + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; + + assert!(prefix > 0 && prefix < src.len()); + let controls_owned = &src[src.len() - prefix..]; + for q in controls_owned { + circ.x(q); + } + let controls: Vec<&QReg> = controls_owned.iter().collect(); + let clean_refs = clean_scratch.to_vec(); + if lowq_hybrid_clz_kg_mcx_enabled() + && prefix >= 6 + && clean_refs.len() >= kg_prefix_ancilla_count(prefix) + { + xor_and_of_khattar_gidney_refs_with_anc(circ, &controls, out, &clean_refs); + } else { + let dirty: Vec<&QReg> = peer.iter().take(prefix.saturating_sub(2)).collect(); + assert_eq!( + dirty.len(), + prefix.saturating_sub(2), + "LOWQ_HYBRID_CLZ peer lender shortage" + ); + mcx_dirty_ladder(circ, &controls, out, &dirty); + } + for q in controls_owned.iter().rev() { + circ.x(q); + } +} + +/// Toggle `out` iff `active` is set and the lowest `prefix` lanes of `src` are +/// all zero. Lenders may contain arbitrary data and are restored exactly. +fn toggle_active_zero_low_dirty( + circ: &mut Circuit, + src: &[QReg], + prefix: usize, + active: &QReg, + out: &QReg, + lenders: &[&QReg], +) { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; + + assert!(prefix > 0 && prefix < src.len()); + let controls_owned = &src[..prefix]; + for q in controls_owned { + circ.x(q); + } + let mut controls: Vec<&QReg> = Vec::with_capacity(prefix + 1); + controls.push(active); + controls.extend(controls_owned.iter()); + let need = controls.len().saturating_sub(2); + assert!( + lenders.len() >= need, + "LOWQ_EXACT_CTZ lender shortage: need={need} have={}", + lenders.len() + ); + mcx_dirty_ladder(circ, &controls, out, &lenders[..need]); + for q in controls_owned.iter().rev() { + circ.x(q); + } +} + +/// Compute `transcript = clz(src)` and normalize `src` to an MSB-one word. +/// Each branch bit controls one power-of-two shift and is retained until the +/// inverse restores `src`, so the map is bijective on the full basis space. +fn binary_clz_compute( + circ: &mut Circuit, + src: &[QReg], + peer: &[QReg], + transcript: &[&QReg], +) { + assert!(!src.is_empty() && src.len() <= (1usize << transcript.len())); + for bit in (0..transcript.len()).rev() { + let distance = 1usize << bit; + if distance >= src.len() { + continue; + } + toggle_zero_prefix_dirty(circ, src, distance, transcript[bit], peer, &transcript[..bit]); + controlled_fixed_shift(circ, src, transcript[bit], distance, true); + } +} + +fn binary_clz_uncompute( + circ: &mut Circuit, + src: &[QReg], + peer: &[QReg], + transcript: &[&QReg], +) { + for bit in 0..transcript.len() { + let distance = 1usize << bit; + if distance >= src.len() { + continue; + } + controlled_fixed_shift(circ, src, transcript[bit], distance, false); + toggle_zero_prefix_dirty(circ, src, distance, transcript[bit], peer, &transcript[..bit]); + } +} + +fn toggle_prefix_controlled_by_active( + circ: &mut Circuit, + ctrls: &[&QReg], + active: &QReg, + out: &QReg, + flag: &QReg, +) { + match ctrls { + [] => circ.cx(active, out), + [c] => circ.ccx(active, c, out), + [a, b] => { + circ.ccx(a, b, flag); + circ.ccx(active, flag, out); + circ.clear_and(flag, a, b); + } + _ => panic!( + "toggle_prefix_controlled_by_active: expected <=2 KG controls, got {}", + ctrls.len() + ), + } +} + +fn toggle_clz_parity_prefix_stream( + circ: &mut Circuit, + src: &[QReg], + active: &QReg, + out: &QReg, + scratch: &[&QReg], +) -> bool { + use crate::point_add::trailmix_port::arith::khattar_gidney::{ + kg_prefix_ancilla_count, KgPrefixAnd, + }; + + if src.len() <= 1 { + return true; + } + let qbits: Vec<&QReg> = src.iter().rev().take(src.len() - 1).collect(); + let nanc = kg_prefix_ancilla_count(qbits.len()); + if scratch.len() < nanc + 1 { + return false; + } + let anc = scratch[..nanc].to_vec(); + let flag = scratch[nanc]; + + for &q in &qbits { + circ.x(q); + } + KgPrefixAnd::new(&qbits, &anc) + .forward(circ, |_, _, _| {}) + .reverse(circ, |c, i, ctrls| { + if i > 0 { + toggle_prefix_controlled_by_active(c, ctrls, active, out, flag); + } + }); + for &q in qbits.iter().rev() { + circ.x(q); + } + true +} + +/// PRE: `s=0`. Deposit `active*ctz(q)` directly into `s`, using `s` itself as +/// the branch transcript. The final left-shift sweep restores multi-hot q while +/// intentionally retaining s. +fn exact_multihot_ctz_deposit( + circ: &mut Circuit, + q: &[QReg], + s: &[&QReg], + active: &QReg, + lenders: &[&QReg], +) { + assert!(!s.is_empty() && s.len() <= 5, "LOWQ exact CTZ output width"); + let prev = circ.push_section("p.hctz.deposit"); + for bit in (0..s.len()).rev() { + let distance = 1usize << bit; + if distance >= q.len() { + continue; + } + toggle_active_zero_low_dirty(circ, q, distance, active, s[bit], lenders); + controlled_fixed_shift(circ, q, s[bit], distance, false); + } + for bit in 0..s.len() { + let distance = 1usize << bit; + if distance < q.len() { + controlled_fixed_shift(circ, q, s[bit], distance, true); + } + } + circ.pop_section(&prev); +} + +/// Exact gate inverse of `exact_multihot_ctz_deposit`. +/// PRE: `s=active*ctz(q)`. Restores q after the temporary normalization and +/// clears s to zero. +fn exact_multihot_ctz_erase( + circ: &mut Circuit, + q: &[QReg], + s: &[&QReg], + active: &QReg, + lenders: &[&QReg], +) { + assert!(!s.is_empty() && s.len() <= 5, "LOWQ exact CTZ output width"); + let prev = circ.push_section("p.hctz.erase"); + for bit in (0..s.len()).rev() { + let distance = 1usize << bit; + if distance < q.len() { + controlled_fixed_shift(circ, q, s[bit], distance, false); + } + } + for bit in 0..s.len() { + let distance = 1usize << bit; + if distance >= q.len() { + continue; + } + controlled_fixed_shift(circ, q, s[bit], distance, true); + toggle_active_zero_low_dirty(circ, q, distance, active, s[bit], lenders); + } + circ.pop_section(&prev); +} + +fn collect_dirty_lenders<'a>( + candidates: impl IntoIterator, + controls: &[&QReg], + action: &[&QReg], +) -> Vec<&'a QReg> { + let mut out: Vec<&'a QReg> = Vec::new(); + for q in candidates { + if controls.iter().any(|c| std::ptr::eq(*c, q)) + || action.iter().any(|a| std::ptr::eq(*a, q)) + || out.iter().any(|d| std::ptr::eq(*d, q)) + { + continue; + } + out.push(q); + } + out +} + +/// Exact multi-control toggle using arbitrary dirty lenders. Every lender is +/// restored before return; no clean quantum lane is allocated. +fn dirty_controlled_x( + circ: &mut Circuit, + controls: &[&QReg], + target: &QReg, + candidates: &[&QReg], + action: &[&QReg], +) { + use crate::point_add::trailmix_port::arith::mcx::mcx_dirty_ladder; + + let dirty = collect_dirty_lenders(candidates.iter().copied(), controls, action); + let need = controls.len().saturating_sub(2); + assert!( + dirty.len() >= need, + "Q959 selective-borrow lender shortage: controls={} need={} have={}", + controls.len(), + need, + dirty.len() + ); + mcx_dirty_ladder(circ, controls, target, &dirty[..need]); +} + +pub(crate) fn dirty_controlled_inc_suffix( + circ: &mut Circuit, + selector: &[&QReg], + target: &[&QReg], + lo: usize, + subtract: bool, + candidates: &[&QReg], +) { + let action = target.to_vec(); + for i in (lo + 1..target.len()).rev() { + let lower = target[lo..i].to_vec(); + if subtract { + for q in &lower { + circ.x(q); + } + } + let mut controls = selector.to_vec(); + controls.extend(lower.iter().copied()); + dirty_controlled_x(circ, &controls, target[i], candidates, &action); + if subtract { + for q in lower.iter().rev() { + circ.x(q); + } + } + } + dirty_controlled_x(circ, selector, target[lo], candidates, &action); +} + +fn dirty_controlled_add_const( + circ: &mut Circuit, + selector: &[&QReg], + target: &[&QReg], + value: usize, + subtract: bool, + candidates: &[&QReg], +) { + let mask = (1usize << target.len()) - 1; + let value = value & mask; + for bit in 0..target.len() { + if (value >> bit) & 1 == 1 { + dirty_controlled_inc_suffix(circ, selector, target, bit, subtract, candidates); + } + } +} + +/// Add or subtract the promised nonzero source bit length directly into the +/// existing five-bit target. Scanning from high to low, the borrowed selector +/// gate latches exactly once at the source MSB. One unit update per remaining +/// position then deposits `msb - lo + 1`; a final controlled constant update +/// supplies `lo`. The high suffix stays complemented across adjacent selectors +/// instead of being rebuilt for every candidate MSB. +fn direct_bitlen_update( + circ: &mut Circuit, + src: &[QReg], + peer: &[QReg], + lo: usize, + target: &[&QReg], + active: &QReg, + selector_gate: &QReg, + subtract: bool, + extra_lenders: &[&QReg], +) { + let lo = lo.min(src.len().saturating_sub(1)); + let candidates: Vec<&QReg> = peer + .iter() + .chain(src.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + let mut action = target.to_vec(); + action.push(selector_gate); + for k in (lo..src.len()).rev() { + let mut selector = Vec::with_capacity(src.len() - k + 1); + selector.push(active); + selector.push(&src[k]); + selector.extend(src[k + 1..].iter()); + // The selector is one-hot over k. Once it fires, every lower-k selector + // is false because the complemented suffix contains the true MSB. + dirty_controlled_x(circ, &selector, selector_gate, &candidates, &action); + if lowq_q956_off_borrow_enabled() { + // `selector_gate` aliases counter[0]. It is guaranteed clean only + // when active, so every read must carry the active predicate too. + dirty_controlled_inc_suffix( + circ, + &[active, selector_gate], + target, + 0, + subtract, + &candidates, + ); + } else { + dirty_controlled_inc_suffix( + circ, + &[selector_gate], + target, + 0, + subtract, + &candidates, + ); + } + if k > lo { + circ.x(&src[k]); + } + } + for q in src[lo + 1..].iter().rev() { + circ.x(q); + } + + // On the promised support, active implies that the selected window is + // nonzero, so exactly one MSB selector fired and selector_gate == active. + circ.cx(active, selector_gate); + if lo != 0 { + dirty_controlled_add_const(circ, &[active], target, lo, subtract, &candidates); + } +} + +fn direct_bitlen_diff_update( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + lo_a: usize, + lo_b: usize, + target: &[&QReg], + active: &QReg, + selector_gate: &QReg, + subtract_diff: bool, + extra_lenders: &[&QReg], +) { + let prev = circ.push_section("p.dbitlen"); + direct_bitlen_update( + circ, + a, + b, + lo_a, + target, + active, + selector_gate, + subtract_diff, + extra_lenders, + ); + direct_bitlen_update( + circ, + b, + a, + lo_b, + target, + active, + selector_gate, + !subtract_diff, + extra_lenders, + ); + circ.pop_section(&prev); +} + +fn direct_bitlen_diff_parity( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + lo_a: usize, + lo_b: usize, + out: &QReg, + active: &QReg, + extra_lenders: &[&QReg], +) { + let prev = circ.push_section("p.dbitlen.parity"); + let action = [out]; + for (src, peer, lo) in [(a, b, lo_a), (b, a, lo_b)] { + let lo = lo.min(src.len().saturating_sub(1)); + let candidates: Vec<&QReg> = peer + .iter() + .chain(src.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + for k in (lo..src.len()).rev() { + if (k + 1) & 1 == 1 { + let mut selector = Vec::with_capacity(src.len() - k + 1); + selector.push(active); + selector.push(&src[k]); + selector.extend(src[k + 1..].iter()); + dirty_controlled_x(circ, &selector, out, &candidates, &action); + } + if k > lo { + circ.x(&src[k]); + } + } + for q in src[lo + 1..].iter().rev() { + circ.x(q); + } + } + circ.pop_section(&prev); +} + +fn hybrid_transcript_width(max_window_len: usize) -> usize { + let branch_bits = if max_window_len <= 1 { + 0 + } else { + usize::BITS as usize - (max_window_len - 1).leading_zeros() as usize + }; + branch_bits.max(5) +} + +const BORROWED_TRANSCRIPT_LOGICAL_WIDTH: usize = 7; +#[doc(hidden)] +pub const Q944_RESIDUAL_HCLZ_ROWS: [usize; 25] = [ + 292, 293, 294, 301, 302, 303, 304, 319, 320, 321, 322, 323, 324, 325, 326, 334, 335, + 336, 337, 338, 343, 344, 349, 357, 385, +]; +#[doc(hidden)] +pub const Q944_RESIDUAL_NON_HCLZ_ROWS: [usize; 10] = + [311, 312, 313, 314, 331, 332, 351, 352, 355, 356]; +#[doc(hidden)] +pub const Q948_DIRECT_HCLZ_BINDING_ROWS: [usize; 6] = [371, 372, 381, 382, 383, 384]; +#[doc(hidden)] +pub const Q947_DIRECT_HCLZ_NEW_ROWS: [usize; 10] = + [295, 296, 297, 298, 345, 346, 348, 360, 369, 370]; +#[doc(hidden)] +pub const Q947_DIRECT_HCLZ_BINDING_ROWS: [usize; 16] = [ + 295, 296, 297, 298, 345, 346, 348, 360, 369, 370, 371, 372, 381, 382, 383, 384, +]; +#[doc(hidden)] +pub const Q946_SECOND_RELEASE_DIRECT_HCLZ_SIX_ROW_EXTENSION: [usize; 6] = + [307, 308, 309, 310, 353, 354]; +#[doc(hidden)] +pub const Q946_SECOND_RELEASE_DIRECT_HCLZ_RESIDUAL_TIES: [usize; 12] = + [306, 315, 316, 317, 327, 328, 329, 330, 333, 350, 358, 359]; +#[doc(hidden)] +pub const Q946_SECOND_RELEASE_DIRECT_HCLZ_ROWS: [usize; 18] = [ + 306, 307, 308, 309, 310, 315, 316, 317, 327, 328, 329, 330, 333, 350, 353, 354, 358, 359, +]; + +#[doc(hidden)] +pub const Q945_DIRTY_PARITY_MICROKERNEL_COMMIT: &str = + "8cd51b5df0ef18373d38fcee5ce77ddabf4e58cb"; +#[doc(hidden)] +pub const Q945_DIRTY_PARITY_MICROKERNEL_TREE: &str = + "c74ce2b47ff5a021396393f296ff8677f2e69244"; +#[doc(hidden)] +pub const Q945_DIRTY_PARITY_MICROKERNEL_BLOB: &str = + "ae3b46c5dc1b63546587066cad94846e8b1222c1"; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum BorrowedTranscriptSubstep { + Division, + Multiply, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum BorrowedTranscriptLoanKind { + PreterminalCounter, + Row379AHigh, + Row380ForwardCbHigh, + Row380ReverseCaHigh, + Q945LocalHost(Q945Host, Q945HclzForm), + ProofHarness, +} + +#[derive(Clone, Copy)] +enum BorrowedTranscriptPreparation<'a> { + AlreadyZero, + ComplementOf(&'a QReg), +} + +#[derive(Clone, Copy)] +pub(crate) struct BorrowedTranscriptLoan<'a> { + lane: &'a QReg, + kind: BorrowedTranscriptLoanKind, + row: usize, + inverse: bool, + substep: BorrowedTranscriptSubstep, + preparation: BorrowedTranscriptPreparation<'a>, +} + +#[derive(Clone, Copy)] +struct BorrowedTranscriptLoans<'a> { + update: Option>, + parity: Option>, + q945_local_class: bool, +} + +#[derive(Clone, Copy)] +enum Q945NarrowCarry<'a> { + Borrow { + lane: &'a QReg, + dirty_parity: Option<&'a QReg>, + host: Q945Host, + row: usize, + substep: Q945Substep, + }, + Row364DivisionLower80 { + carry: &'a QReg, + not_gate: &'a QReg, + dirty_parity: Option<&'a QReg>, + row: usize, + substep: Q945Substep, + }, + ResidualDirtyParity { + dirty_parity: &'a QReg, + row: usize, + substep: Q945Substep, + }, +} + +#[derive(Clone, Copy)] +struct Q945DirtyParityArithmetic<'a> { + lane: &'a QReg, + row: usize, + substep: Q945Substep, +} + +impl<'a> Q945NarrowCarry<'a> { + const fn dirty_parity_arithmetic(self) -> Option> { + match self { + Self::Borrow { + dirty_parity, + row, + substep, + .. + } + | Self::Row364DivisionLower80 { + dirty_parity, + row, + substep, + .. + } => match dirty_parity { + Some(lane) => Some(Q945DirtyParityArithmetic { + lane, + row, + substep, + }), + None => None, + }, + Self::ResidualDirtyParity { + dirty_parity, + row, + substep, + } => Some(Q945DirtyParityArithmetic { + lane: dirty_parity, + row, + substep, + }), + } + } +} + +impl<'a> BorrowedTranscriptLoans<'a> { + const fn none() -> Self { + Self { + update: None, + parity: None, + q945_local_class: false, + } + } + + const fn shared(loan: Option>) -> Self { + Self { + update: loan, + parity: loan, + q945_local_class: false, + } + } + + const fn loan(self, form: Q945HclzForm) -> Option> { + match form { + Q945HclzForm::Update => self.update, + Q945HclzForm::Parity => self.parity, + } + } + + const fn q945_local_borrowed(self, form: Q945HclzForm) -> Option { + if self.q945_local_class { + Some(self.loan(form).is_some()) + } else { + None + } + } +} + +impl BorrowedTranscriptLoan<'_> { + fn assert_disjoint(self, forbidden: &[&QReg]) { + assert!( + forbidden + .iter() + .all(|lane| !std::ptr::eq(*lane, self.lane)), + "borrowed transcript {:?} row {} {:?} {:?} aliases a transcript operand", + self.kind, + self.row, + if self.inverse { "reverse" } else { "forward" }, + self.substep, + ); + } + + + fn acquire_zero(self, circ: &mut Circuit) { + if let BorrowedTranscriptPreparation::ComplementOf(control) = self.preparation { + assert!( + !std::ptr::eq(control, self.lane), + "borrowed transcript relation control aliases its lender" + ); + circ.x(self.lane); + circ.cx(control, self.lane); + } + } + + fn restore_relation(self, circ: &mut Circuit) { + if let BorrowedTranscriptPreparation::ComplementOf(control) = self.preparation { + circ.cx(control, self.lane); + circ.x(self.lane); + } + } +} + +/// Allocate the low six transcript lanes and append one certified-clean lender +/// as the logical high lane. The body must restore every transcript lane to its +/// entry value. Owned lanes are reset/freed; the borrowed lane is released by +/// retaining ownership in its source register. +fn with_hybrid_transcript( + circ: &mut Circuit, + logical_width: usize, + loan: Option>, + forbidden: &[&QReg], + body: impl FnOnce(&mut Circuit, &[&QReg]) -> R, +) -> R { + let use_loan = loan.filter(|_| logical_width == BORROWED_TRANSCRIPT_LOGICAL_WIDTH); + if let Some(loan) = use_loan { + assert!(lowq_borrowed_transcript_experiment_enabled()); + loan.assert_disjoint(forbidden); + } + let owned_width = logical_width - usize::from(use_loan.is_some()); + assert!(owned_width >= 5, "hybrid CLZ requires five low transcript lanes"); + let owned = circ.alloc_qreg_bits("hybrid.clz", owned_width); + let mut transcript: Vec<&QReg> = owned.iter().collect(); + if let Some(loan) = use_loan { + transcript.push(loan.lane); + } + assert_eq!(transcript.len(), logical_width); + if let Some(loan) = use_loan { + loan.acquire_zero(circ); + } + let result = body(circ, &transcript); + if let Some(loan) = use_loan { + loan.restore_relation(circ); + if let BorrowedTranscriptLoanKind::Q945LocalHost(host, form) = loan.kind { + circ.b.record_lowq_liveness_marker(format!( + concat!( + "q945_hclz_host=1;row={};substep={};form={};", + "host={};bit={};physical_id={};restored_by_uncompute=true" + ), + loan.row, + match loan.substep { + BorrowedTranscriptSubstep::Division => "division", + BorrowedTranscriptSubstep::Multiply => "multiply", + }, + form.label(), + host.register.label(), + host.bit, + loan.lane.id(), + )); + } + } + for lane in owned { + circ.zero_and_free(lane); + } + result +} + +fn selective_direct_bitlen_needed( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + lo_a: usize, + lo_b: usize, + form: Q945HclzForm, + q945_local_borrowed: Option, +) -> bool { + if !lowq_q959_selective_borrow_enabled() { + return false; + } + circ.flush_pending_frees(); + let aw = a.len().saturating_sub(lo_a.min(a.len().saturating_sub(1))); + let bw = b.len().saturating_sub(lo_b.min(b.len().saturating_sub(1))); + let baseline_peak_target = if lowq_q949_affine_counter_enabled() { + 949 + } else if lowq_q954_srot_counter7_enabled() { + 954 + } else if lowq_q956_off_borrow_enabled() { + 956 + } else if lowq_q957_target683_enabled() { + 957 + } else if lowq_q958_gated_compare_enabled() { + 958 + } else { + 959 + }; + let logical_width = hybrid_transcript_width(aw.max(bw)); + let baseline_direct = circ.b.active_qubits as usize + logical_width > baseline_peak_target; + if !lowq_q948_direct_hclz_peak_guard_enabled() + || !circ.lowq_q948_direct_hclz_peak_guard_active + { + return baseline_direct; + } + + // The hybrid transcript itself has `logical_width` lanes. The measured + // cap-681 trace reaches one lane beyond active+logical_width inside the + // prefix/CLZ implementation, so account for that literal internal lane. + let projected_hybrid_peak = circ.b.active_qubits as usize + logical_width + 1; + let direct_target = if lowq_q944_residual_one_lane_cut_enabled() { + 944 + } else if lowq_q945_local_hosts_enabled() { + 945 + } else if q946_second_ownership_release_requested() { + 946 + } else if q947_passenger_direct_hclz_requested() { + 947 + } else { + 948 + }; + assert!( + projected_hybrid_peak > direct_target, + "direct HCLZ binding context no longer exceeds the target" + ); + let guarded_direct = if lowq_q944_residual_one_lane_cut_enabled() { + true + } else if q945_local_hosts_requested() { + match q945_local_borrowed { + Some(true) => { + assert!( + !baseline_direct, + "Q945 local HCLZ loan unexpectedly entered the baseline direct route" + ); + false + } + Some(false) | None => true, + } + } else { + assert!(q945_local_borrowed.is_none()); + true + }; + if guarded_direct && !baseline_direct { + circ.b.record_lowq_liveness_marker(format!( + concat!( + "direct_hclz_peak_guard=1;form={};active={};logical_width={};", + "projected_hybrid_peak={};target={}" + ), + form.label(), + circ.b.active_qubits, + logical_width, + projected_hybrid_peak, + direct_target, + )); + } + baseline_direct || guarded_direct +} + +/// Deposit `active*(bitlen(a)-bitlen(b))` into the existing five-bit shift +/// register. Equal full register widths imply +/// `bitlen(a)-bitlen(b) = clz(b)-clz(a)` even when the audited low windows +/// differ. A single seven-bit transcript is reused sequentially. +fn hybrid_bitlen_diff_update( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + lo_a: usize, + lo_b: usize, + target: &[&QReg], + active: &QReg, + subtract_diff: bool, + transcript_loan: Option>, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::{ + ctrl_add, ctrl_add_dirty_lenders, ctrl_sub, ctrl_sub_dirty_lenders, + }; + + assert_eq!(a.len(), b.len(), "LOWQ_HYBRID_CLZ requires equal full widths"); + assert_eq!(target.len(), 5, "LOWQ_HYBRID_CLZ target width"); + let prev = circ.push_section("p.hclz"); + let a_window = &a[lo_a.min(a.len() - 1)..]; + let b_window = &b[lo_b.min(b.len() - 1)..]; + let logical_width = hybrid_transcript_width(a_window.len().max(b_window.len())); + let target_refs = target.to_vec(); + let noalloc_add = lowq_hybrid_clz_noalloc_add_enabled(); + let forbidden: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(target.iter().copied()) + .chain(std::iter::once(active)) + .collect(); + + with_hybrid_transcript( + circ, + logical_width, + transcript_loan, + &forbidden, + |circ, transcript| { + let low_refs = transcript[..target.len()].to_vec(); + binary_clz_compute(circ, a_window, b, transcript); + if subtract_diff { + if noalloc_add { + ctrl_add_dirty_lenders(circ, active, &target_refs, &low_refs); + } else { + ctrl_add(circ, active, &target_refs, &low_refs); + } + } else if noalloc_add { + ctrl_sub_dirty_lenders(circ, active, &target_refs, &low_refs); + } else { + ctrl_sub(circ, active, &target_refs, &low_refs); + } + binary_clz_uncompute(circ, a_window, b, transcript); + + binary_clz_compute(circ, b_window, a, transcript); + if subtract_diff { + if noalloc_add { + ctrl_sub_dirty_lenders(circ, active, &target_refs, &low_refs); + } else { + ctrl_sub(circ, active, &target_refs, &low_refs); + } + } else if noalloc_add { + ctrl_add_dirty_lenders(circ, active, &target_refs, &low_refs); + } else { + ctrl_add(circ, active, &target_refs, &low_refs); + } + binary_clz_uncompute(circ, b_window, a, transcript); + }, + ); + circ.pop_section(&prev); +} + +fn hybrid_bitlen_diff_parity( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + lo_a: usize, + lo_b: usize, + out: &QReg, + active: &QReg, + transcript_loan: Option>, +) { + assert_eq!(a.len(), b.len(), "LOWQ_HYBRID_CLZ requires equal full widths"); + let prev = circ.push_section("p.hclz.parity"); + let a_window = &a[lo_a.min(a.len() - 1)..]; + let b_window = &b[lo_b.min(b.len() - 1)..]; + let logical_width = hybrid_transcript_width(a_window.len().max(b_window.len())); + let forbidden: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain([out, active]) + .collect(); + + with_hybrid_transcript( + circ, + logical_width, + transcript_loan, + &forbidden, + |circ, transcript| { + if lowq_hybrid_clz_prefix_parity_enabled() + && toggle_clz_parity_prefix_stream(circ, a_window, active, out, transcript) + && toggle_clz_parity_prefix_stream(circ, b_window, active, out, transcript) + { + // Fast exact parity path: clz(x) mod 2 is the XOR of all non-empty + // top-zero prefix flags of x. No controlled shifts are needed. + } else { + binary_clz_compute(circ, a_window, b, transcript); + circ.ccx(active, transcript[0], out); + binary_clz_uncompute(circ, a_window, b, transcript); + binary_clz_compute(circ, b_window, a, transcript); + circ.ccx(active, transcript[0], out); + binary_clz_uncompute(circ, b_window, a, transcript); + } + }, + ); + circ.pop_section(&prev); +} + +/* + * The owned-only implementation formerly lived here. Keeping transcript + * allocation behind `with_hybrid_transcript` makes the default-off path exact: + * with no loan it still allocates and frees the same logical width. + */ + +/// `_middle` form of the clz-diff compute-USE-uncompute pattern: deposits the two +/// bitlen positions into the internal `pa`/`pb` ancillae, FOLDS the diff +/// d = bitlen(a)-bitlen(b) (windowed) INTO `pa`, runs `body(circ, &pa)` with `pa` +/// holding the diff, then restores `pa` and un-deposits to |0>. No caller-supplied +/// diff register -- `pa` IS the diff, so nothing extra is live at the peak (this is +/// the `shrunken_pz_divide_forward` peak section). `w` sizes pa/pb (must hold the window MSB +/// index and the signed diff). Scans un-nested (one KG ancilla set live at a time). +fn clz_diff_body_middle( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + w: usize, + lo_a: usize, + lo_b: usize, + body: impl FnOnce(&mut Circuit, &[QReg]), +) { + use crate::point_add::trailmix_port::arith::ripple_add::add_const; + let pbl = circ.push_section("p.bitlen"); + let aw: Vec<&QReg> = a[lo_a..a.len()].iter().collect(); + let bw: Vec<&QReg> = b[lo_b..b.len()].iter().collect(); + let pa = circ.alloc_qreg_bits("clzm.pa", w); + let pb = circ.alloc_qreg_bits("clzm.pb", w); + let add_pa = |circ: &mut Circuit, pa: &[QReg], v: i64| { + let val = i128::from(v).rem_euclid(1i128 << w) as u128; + let bytes: Vec = (0..w.div_ceil(8)).map(|i| (val >> (8 * i)) as u8).collect(); + add_const(circ, pa, &bytes); + }; + let (na, nb) = (aw.len(), bw.len()); + // UN-NESTED scans: deposit pos_a then pos_b SEQUENTIALLY (one KG ancilla set + // live at a time, not both nested). `bit_length_lean_middle` with a `|_| false` + // body deposits pos (na -> MSB index) and leaves it; the pos-telescoping is a + // fixed XOR-set gated on `src` only (independent of pos's value), hence + // self-inverse -- the SAME call run again returns pos (MSB index -> na), so it + // doubles as the un-deposit phase. + xor_const(circ, &pa, na); + bit_length_lean_middle(circ, &aw, &pa, |_| false); // pa = pos_a + xor_const(circ, &pb, nb); + bit_length_lean_middle(circ, &bw, &pb, |_| false); // pb = pos_b + + let const_fold = lowq_clz_diff_const_fold_enabled(); + if const_fold { + // Constants commute across the subtract. This is the q980 reduction: + // one modular constant add instead of two, with no extra live wires. + { + let par: Vec<&QReg> = pa.iter().collect(); + let pbr: Vec<&QReg> = pb.iter().collect(); + sub_refs(circ, &par, &pbr); + } + add_pa(circ, &pa, lo_a as i64 - lo_b as i64); + } else { + { + let par: Vec<&QReg> = pa.iter().collect(); + let pbr: Vec<&QReg> = pb.iter().collect(); + add_pa(circ, &pa, 1 + lo_a as i64); + sub_refs(circ, &par, &pbr); + } + add_pa(circ, &pa, -(1 + lo_b as i64)); + } + + body(circ, &pa); // USE pa (= diff) + + if const_fold { + { + let par: Vec<&QReg> = pa.iter().collect(); + let pbr: Vec<&QReg> = pb.iter().collect(); + add_refs(circ, &par, &pbr); + } + add_pa(circ, &pa, lo_b as i64 - lo_a as i64); + } else { + add_pa(circ, &pa, 1 + lo_b as i64); + { + let par: Vec<&QReg> = pa.iter().collect(); + let pbr: Vec<&QReg> = pb.iter().collect(); + add_refs(circ, &par, &pbr); + } + add_pa(circ, &pa, -(1 + lo_a as i64)); + } + + // un-deposit (self-inverse clean=false calls, reverse order). + bit_length_lean_middle(circ, &bw, &pb, |_| false); // pb -> nb + xor_const(circ, &pb, nb); // pb -> 0 + bit_length_lean_middle(circ, &aw, &pa, |_| false); // pa -> na + xor_const(circ, &pa, na); // pa -> 0 + for q in pa { + circ.zero_and_free(q); + } + for q in pb { + circ.zero_and_free(q); + } + circ.pop_section(&pbl); +} + +/// Rotate-LEFT `reg` in place by the quantum amount `s` (= reg << s, since the +/// aligned value's bitlen <= reg width so no nonzero bit wraps). Uses the ACYCLIC +/// `barrel_shift_inplace` (exactly `s.len()` layers, no wrap) rather than +/// `controlled_cyclic_rotate` (s.len()+1 full-width layers incl. a spurious +/// offset layer, + cyclic wrap churn): ~1.28x fewer cswaps. The no-wrap +/// precondition (top s bits of reg are |0>) is exactly the existing one. +/// forward=true is `<< s`; forward=false (restore) is `>> s`, Fredkin self-inverse. +fn barrel_shift_refs(circ: &mut Circuit, reg: &[QReg], s: &[&QReg], forward: bool) { + let n = reg.len(); + if n == 0 || s.is_empty() { + return; + } + let prev = circ.push_section("p.shift"); + let layers: Box> = if forward { + Box::new(0..s.len()) + } else { + Box::new((0..s.len()).rev()) + }; + for bit in layers { + let distance = 1usize << bit; + if distance >= n { + continue; + } + let pairs: Box> = if forward { + Box::new((distance..n).rev()) + } else { + Box::new(distance..n) + }; + for hi in pairs { + let lo = hi - distance; + circ.cx(®[lo], ®[hi]); + circ.ccx(s[bit], ®[hi], ®[lo]); + circ.cx(®[lo], ®[hi]); + } + } + circ.pop_section(&prev); +} + +fn rotate_left(circ: &mut Circuit, reg: &[QReg], s: &[&QReg]) { + barrel_shift_refs(circ, reg, s, true); +} +fn rotate_right(circ: &mut Circuit, reg: &[QReg], s: &[&QReg]) { + barrel_shift_refs(circ, reg, s, false); +} + +/// Shift by one under `active AND off`. On the Q956 route `off` is a counter +/// lane that may be one on inactive branches, so using it as a lone Fredkin +/// control would corrupt those branches. The three-control swap is emitted +/// directly with restored dirty lenders and allocates no conjunction lane. +fn rotate_one_by_off( + circ: &mut Circuit, + reg: &[QReg], + active: &QReg, + off: &QReg, + forward: bool, + candidates: &[&QReg], +) { + if !lowq_q956_off_borrow_enabled() { + let control = [off]; + if forward { + rotate_left(circ, reg, &control); + } else { + rotate_right(circ, reg, &control); + } + return; + } + if reg.len() < 2 { + return; + } + + let prev = circ.push_section("p.shift.off-borrow"); + let action: Vec<&QReg> = reg.iter().collect(); + let pairs: Box> = if forward { + Box::new((1..reg.len()).rev()) + } else { + Box::new(1..reg.len()) + }; + for hi in pairs { + let lo = hi - 1; + circ.cx(®[lo], ®[hi]); + let controls = [active, off, ®[hi]]; + dirty_controlled_x(circ, &controls, ®[lo], candidates, &action); + circ.cx(®[lo], ®[hi]); + } + circ.pop_section(&prev); +} + +/// `q[i] ^= active AND (s == i)` = `q ^= active·(1< s masked to 0 => only i=0 gate fires, +/// `ANDed` with active=0 -> no-op. Self-inverse; `s` restored on exit. +fn set_bit_at_s_gated( + circ: &mut Circuit, + q_div: &[QReg], + s: &[&QReg], + active: &QReg, + borrowed_gate: &QReg, + lenders: &[&QReg], +) { + let n_pad = q_div.len(); + if n_pad == 0 { + return; + } + let prev = circ.push_section("p.demux"); + if lowq_q959_selective_borrow_enabled() { + let mask_borrowed_reads = lowq_q956_off_borrow_enabled(); + let mut action: Vec<&QReg> = q_div.iter().collect(); + action.push(borrowed_gate); + for (i, target) in q_div.iter().enumerate() { + for (bit, q) in s.iter().enumerate() { + if (i >> bit) & 1 == 0 { + circ.x(q); + } + } + let mut controls = Vec::with_capacity(s.len() + 1); + controls.push(active); + controls.extend(s.iter().copied()); + dirty_controlled_x(circ, &controls, borrowed_gate, lenders, &action); + if mask_borrowed_reads { + circ.ccx(active, borrowed_gate, target); + } else { + circ.cx(borrowed_gate, target); + } + dirty_controlled_x(circ, &controls, borrowed_gate, lenders, &action); + for (bit, q) in s.iter().enumerate().rev() { + if (i >> bit) & 1 == 0 { + circ.x(q); + } + } + } + circ.pop_section(&prev); + return; + } + + use crate::point_add::trailmix_port::arith::khattar_gidney::unary_iterate_log_star; + unary_iterate_log_star(circ, s, n_pad, |c, i, gate| { + c.ccx(active, gate, &q_div[i]); + }); + circ.pop_section(&prev); +} + +/// Unconditional `a -= b` (mod 2^len) via two's complement (X-bracket + add). +fn sub_refs(circ: &mut Circuit, a: &[&QReg], b: &[&QReg]) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::ctrl_sub; + let one = circ.alloc_qreg("sm.one"); + circ.x(&one); + ctrl_sub(circ, &one, a, b); // gated on |1> = unconditional + circ.x(&one); + circ.zero_and_free(one); +} + +/// Controlled decrement `s -= 1` iff `g` (X-bracket + controlled increment). +fn ctrl_dec(circ: &mut Circuit, g: &QReg, s: &[QReg]) { + use crate::point_add::trailmix_port::arith::khattar_gidney::cinc_khattar_gidney; + for q in s { + circ.x(q); + } + cinc_khattar_gidney(circ, s, g); // a=s, ctrl=g + for q in s { + circ.x(q); + } +} + +/// Controlled increment `s += 1` iff `g`. +fn ctrl_inc(circ: &mut Circuit, g: &QReg, s: &[QReg]) { + use crate::point_add::trailmix_port::arith::khattar_gidney::cinc_khattar_gidney; + cinc_khattar_gidney(circ, s, g); +} + +fn ctrl_inc_refs(circ: &mut Circuit, g: &QReg, s: &[&QReg]) { + use crate::point_add::trailmix_port::arith::khattar_gidney::cinc_khattar_gidney_refs; + cinc_khattar_gidney_refs(circ, s, g); +} + +fn ctrl_dec_refs(circ: &mut Circuit, g: &QReg, s: &[&QReg]) { + for q in s { + circ.x(q); + } + ctrl_inc_refs(circ, g, s); + for q in s { + circ.x(q); + } +} + +fn ctrl_inc_by_off( + circ: &mut Circuit, + active: &QReg, + off: &QReg, + s: &[&QReg], + candidates: &[&QReg], +) { + if lowq_q956_off_borrow_enabled() { + dirty_controlled_inc_suffix(circ, &[active, off], s, 0, false, candidates); + } else { + ctrl_inc_refs(circ, off, s); + } +} + +fn ctrl_dec_by_off( + circ: &mut Circuit, + active: &QReg, + off: &QReg, + s: &[&QReg], + candidates: &[&QReg], +) { + if lowq_q956_off_borrow_enabled() { + dirty_controlled_inc_suffix(circ, &[active, off], s, 0, true, candidates); + } else { + ctrl_dec_refs(circ, off, s); + } +} + +/// Unconditional `a += b` (mod 2^len) via a |1>-gated controlled add. +fn add_refs(circ: &mut Circuit, a: &[&QReg], b: &[&QReg]) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::ctrl_add; + let one = circ.alloc_qreg("sm.one_a"); + circ.x(&one); + ctrl_add(circ, &one, a, b); + circ.x(&one); + circ.zero_and_free(one); +} + +/// Unpacked PZ state-machine registers. gcd pair (`a_gcd=A`, `b_gcd=B`) shrinks; +/// cofactor pair (ca=|a|, cb=|b|) grows. `q_div/q_mul` are the quotient pads +/// (~one quotient, ~26 bits each): `q_div` is built by the division (`q_div^=1`<, + pub b_gcd: Vec, + pub ca: Vec, + pub cb: Vec, + pub q_div: Vec, + pub q_mul: Vec, +} + +/// Single-qubit state flags + sign. Invariant matches `pz_big_step`. +pub struct PzSmFlags { + pub div_active: QReg, + pub mul_active: QReg, + pub offset: QReg, + pub parity: QReg, + pub sgn: QReg, +} + +/// Load/unload the classical constant `c` into `reg` via X gates (self-inverse). +fn xor_const(circ: &mut Circuit, reg: &[QReg], c: usize) { + for (j, q) in reg.iter().enumerate() { + if (c >> j) & 1 == 1 { + circ.x(q); + } + } +} + +/// Magnitude compare `out ^= (a < b)` narrowed to the schedule window +/// `[lo, min(a.len, b.len))`. Used for the ALIGNED offset/o compares where a and +/// b share a bitlen (MSB guaranteed in [lo, hi) by the schedule), so the top bits +/// decide the order; a tie below `lo` (prob ~2^-(hi-lo) per the window width) +/// flips the result -- within the whole-pass tail tolerance. Forward and inverse +/// substeps call this with the same `lo`, so the (possibly-wrong) flag is +/// computed identically both ways and round-trips cleanly. Restores a,b. +/// NOT for the magnitude GATES (`g_mul/g_div)`: there A,B get arbitrarily close at +/// the div<->mul transition, so a deep tie is common, not a 2^-w tail. +fn narrow_lt(circ: &mut Circuit, a: &[QReg], b: &[QReg], out: &QReg, lo: usize) { + let hi = a.len().min(b.len()); + let lo = lo.min(hi.saturating_sub(1)); + let ar: Vec<&QReg> = a[lo..hi].iter().collect(); + let br: Vec<&QReg> = b[lo..hi].iter().collect(); + borrow_compare_refs(circ, &ar, &br, out); +} + +/// Toggle `out` by `active AND (a < b)` without materializing a separate +/// comparison result. The comparator still restores its one clean carry lane, +/// so this saves one peak-live qubit and one complete comparator replay. +fn narrow_lt_controlled( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + out: &QReg, + active: &QReg, + lo: usize, + q945_carry: Option>, +) { + let hi = a.len().min(b.len()); + let lo = lo.min(hi.saturating_sub(1)); + if let Some(Q945NarrowCarry::Borrow { + lane, + dirty_parity: Some(parity), + host, + row, + substep, + }) = q945_carry + { + if std::ptr::eq(lane, active) { + assert!(lowq_q945_dirty_parity_arithmetic_enabled()); + let ar: Vec<&QReg> = a[lo..hi].iter().collect(); + let br: Vec<&QReg> = b[lo..hi].iter().collect(); + strict_compare_gated_dirty_carry_refs(circ, &ar, &br, active, out, parity); + circ.b.record_lowq_liveness_marker(format!( + concat!( + "q944_alias_safe_narrow_compare=1;row={};substep={};", + "q945_host={};q945_bit={};active_physical={};carry=parity;", + "compared_bits={};allocation_free=true;active_restored=true;", + "carry_restored=true;operands_restored=true" + ), + row, + substep.label(), + host.register.label(), + host.bit, + active.id(), + hi - lo, + )); + return; + } + } + if let Some(Q945NarrowCarry::ResidualDirtyParity { + dirty_parity, + row, + substep, + }) = q945_carry + { + assert!(lowq_q944_residual_one_lane_cut_enabled()); + assert!(Q944_RESIDUAL_NON_HCLZ_ROWS.contains(&row)); + let ar: Vec<&QReg> = a[lo..hi].iter().collect(); + let br: Vec<&QReg> = b[lo..hi].iter().collect(); + strict_compare_gated_dirty_carry_refs(circ, &ar, &br, active, out, dirty_parity); + circ.b.record_lowq_liveness_marker(format!( + concat!( + "q944_residual_dirty_compare=1;row={};substep={};", + "carry=parity;compared_bits={};allocation_free=true;", + "active_restored=true;carry_restored=true;operands_restored=true" + ), + row, + substep.label(), + hi - lo, + )); + return; + } + match q945_carry { + Some(Q945NarrowCarry::Borrow { + lane, + host, + row, + substep, + .. + }) => { + let ar: Vec<&QReg> = a[lo..hi].iter().collect(); + let br: Vec<&QReg> = b[lo..hi].iter().collect(); + borrow_compare_gated_refs_with_carry(circ, &ar, &br, active, out, lane); + circ.b.record_lowq_liveness_marker(format!( + concat!( + "q945_borrowed_carry=1;row={};substep={};host={};bit={};", + "compare=windowed;compared_bits={};restored=true;operand_disjoint=true" + ), + row, + substep.label(), + host.register.label(), + host.bit, + hi - lo, + )); + } + Some(Q945NarrowCarry::Row364DivisionLower80 { + carry, not_gate, .. + }) => { + assert_eq!(a.len(), 81, "Q945 row-364 division A width drift"); + assert_eq!(b.len(), 81, "Q945 row-364 division B width drift"); + assert!(std::ptr::eq(carry, &b[80]), "Q945 row-364 carry drift"); + assert!( + std::ptr::eq(not_gate, &a[80]), + "Q945 row-364 NOT gate drift" + ); + let ar: Vec<&QReg> = a[..80].iter().collect(); + let br: Vec<&QReg> = b[..80].iter().collect(); + borrow_compare_gated_not_refs_with_carry( + circ, &ar, &br, active, not_gate, out, carry, + ); + circ.b.record_lowq_liveness_marker( + concat!( + "q945_borrowed_carry=1;row=364;substep=division;host=B;bit=80;", + "compare=lower80;not_gate=A[80];restored=true;operand_disjoint=true" + ) + .to_owned(), + ); + } + Some(Q945NarrowCarry::ResidualDirtyParity { .. }) => unreachable!(), + None => { + let ar: Vec<&QReg> = a[lo..hi].iter().collect(); + let br: Vec<&QReg> = b[lo..hi].iter().collect(); + borrow_compare_gated_refs(circ, &ar, &br, active, out); + } + } +} + +#[derive(Clone, Copy)] +enum Q945ArithmeticOperation { + Add, + Sub, +} + +impl Q945ArithmeticOperation { + const fn label(self) -> &'static str { + match self { + Self::Add => "add", + Self::Sub => "sub", + } + } + + const fn section(self) -> &'static str { + match self { + Self::Add => "p.add", + Self::Sub => "p.sub", + } + } +} + +fn q945_controlled_arithmetic( + circ: &mut Circuit, + operation: Q945ArithmeticOperation, + gate: &QReg, + a: &[&QReg], + b: &[&QReg], + q945_carry: Option>, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::{ + ctrl_add, ctrl_sub, + }; + + let Some(context) = q945_carry.and_then(Q945NarrowCarry::dirty_parity_arithmetic) else { + match operation { + Q945ArithmeticOperation::Add => ctrl_add(circ, gate, a, b), + Q945ArithmeticOperation::Sub => ctrl_sub(circ, gate, a, b), + } + return; + }; + + assert!(lowq_q945_dirty_parity_arithmetic_enabled()); + let residual = Q944_RESIDUAL_NON_HCLZ_ROWS.contains(&context.row); + assert!(Q945_NON_HCLZ_ROWS.contains(&context.row) || residual); + if residual { + assert!(lowq_q944_residual_one_lane_cut_enabled()); + } + assert_eq!(a.len(), b.len(), "Q945 dirty-parity operand width drift"); + let widths = super::q949_robust_envelope::q949_robust_pair_symmetric_widths(context.row); + let expected_width = match context.substep { + Q945Substep::Division => widths[0], + Q945Substep::Multiply => widths[2], + }; + assert_eq!(a.len(), expected_width, "Q945 dirty-parity route width drift"); + assert!(!std::ptr::eq(gate, context.lane)); + assert!( + a.iter() + .chain(b) + .all(|lane| !std::ptr::eq(*lane, gate) && !std::ptr::eq(*lane, context.lane)), + "Q945 dirty-parity carry/gate aliases an arithmetic operand" + ); + + let allocation_serial = circ.b.allocation_serial; + let next_qubit = circ.b.next_qubit; + let active_qubits = circ.b.active_qubits; + let free_qubits = circ.b.free_qubits.clone(); + let section = circ.push_section(operation.section()); + match operation { + Q945ArithmeticOperation::Add => { + controlled_add_dirty_carry_refs(circ, gate, context.lane, a, b) + } + Q945ArithmeticOperation::Sub => { + controlled_sub_dirty_carry_refs(circ, gate, context.lane, a, b) + } + } + assert_eq!(circ.b.allocation_serial, allocation_serial); + assert_eq!(circ.b.next_qubit, next_qubit); + assert_eq!(circ.b.active_qubits, active_qubits); + assert_eq!(circ.b.free_qubits, free_qubits); + circ.b.record_lowq_liveness_marker(format!( + concat!( + "{}_dirty_parity_arithmetic=1;row={};substep={};operation={};width={};", + "carry=parity;allocation_free=true;carry_restored=true;operand_disjoint=true;", + "microkernel_commit={};microkernel_tree={};microkernel_blob={}" + ), + if residual { "q944_residual" } else { "q945" }, + context.row, + context.substep.label(), + operation.label(), + expected_width, + Q945_DIRTY_PARITY_MICROKERNEL_COMMIT, + Q945_DIRTY_PARITY_MICROKERNEL_TREE, + Q945_DIRTY_PARITY_MICROKERNEL_BLOB, + )); + circ.pop_section(§ion); +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +enum Q944DivisionQuotientMode { + Baseline, + QuotientWitness, +} + +#[allow(clippy::too_many_arguments)] +fn q944_division_narrow_lt_controlled( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + out: &QReg, + active: &QReg, + lo: usize, + q945_carry: Option>, + _mode: Q944DivisionQuotientMode, +) { + narrow_lt_controlled(circ, a, b, out, active, lo, q945_carry); +} + +/// WINDOWED division substep: same as `division_substep_act` but the two clz +/// computations scan only the schedule's clz windows (`lo_a`/`lo_b` = window low +/// bounds for A/B) and the B<, + q945_carry: Option>, +) { + division_substep_windowed_mode( + circ, + a, + b, + q_div, + s_rot, + offset, + active, + extra_lenders, + lo_a, + lo_b, + rot_bits, + ctz_bits, + transcript_loans, + q945_carry, + Q944DivisionQuotientMode::Baseline, + ); +} + +#[allow(clippy::too_many_arguments)] +fn division_substep_windowed_mode( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + q_div: &[QReg], + s_rot: &[&QReg], + offset: &QReg, + active: &QReg, + extra_lenders: &[&QReg], + lo_a: usize, + lo_b: usize, + rot_bits: usize, + ctz_bits: usize, + transcript_loans: BorrowedTranscriptLoans<'_>, + q945_carry: Option>, + quotient_mode: Q944DivisionQuotientMode, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::ctrl_sub; + let aref: Vec<&QReg> = a.iter().collect(); + let bref: Vec<&QReg> = b.iter().collect(); + let n_pad = q_div.len(); + let rb = rot_bits.min(s_rot.len()); + let w = s_rot.len(); + let off_lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(q_div.iter()) + .chain(s_rot.iter().copied()) + .chain(extra_lenders.iter().copied()) + .collect(); + + // diff = bitlen(A)-bitlen(B) (windowed _middle, folded into the clz's own pa); + // mask s_rot = diff AND active. + if selective_direct_bitlen_needed( + circ, + a, + b, + lo_a, + lo_b, + Q945HclzForm::Update, + transcript_loans.q945_local_borrowed(Q945HclzForm::Update), + ) { + direct_bitlen_diff_update( + circ, + a, + b, + lo_a, + lo_b, + s_rot, + active, + offset, + false, + extra_lenders, + ); + } else if lowq_hybrid_clz_enabled() { + hybrid_bitlen_diff_update( + circ, + a, + b, + lo_a, + lo_b, + s_rot, + active, + false, + transcript_loans.update, + ); + } else { + clz_diff_body_middle(circ, a, b, w, lo_a, lo_b, |circ, diff| { + for j in 0..w { + circ.ccx(active, &diff[j], &s_rot[j]); + } + }); + } + + rotate_left(circ, b, &s_rot[0..rb]); // B <<= s if active (bounded rotator) + + // offset = active AND (A < B_aligned) -- narrowed (A,B_aligned share bitlen). + if lowq_q958_gated_compare_enabled() { + q944_division_narrow_lt_controlled( + circ, + a, + b, + offset, + active, + lo_a, + q945_carry, + quotient_mode, + ); + } else { + let or = circ.alloc_qreg("dg.offr"); + narrow_lt(circ, a, b, &or, lo_a); + circ.ccx(active, &or, offset); + narrow_lt(circ, a, b, &or, lo_a); + circ.zero_and_free(or); + } + rotate_one_by_off(circ, b, active, offset, false, &off_lenders); // B >>= 1 if offset + ctrl_dec_by_off(circ, active, offset, s_rot, &off_lenders); // s_rot -= 1 if offset => s_eff + + // clean offset via windowed _middle clz on (A, B_aligned) -> A window. The diff + // lives in the clz's pa (this clz is the shrunken_pz_divide_forward peak section). + if selective_direct_bitlen_needed( + circ, + a, + b, + lo_a, + lo_a, + Q945HclzForm::Parity, + transcript_loans.q945_local_borrowed(Q945HclzForm::Parity), + ) { + direct_bitlen_diff_parity(circ, a, b, lo_a, lo_a, offset, active, extra_lenders); + } else if lowq_hybrid_clz_enabled() { + hybrid_bitlen_diff_parity( + circ, + a, + b, + lo_a, + lo_a, + offset, + active, + transcript_loans.parity, + ); + } else { + clz_diff_body_middle(circ, a, b, w, lo_a, lo_a, |circ, diff| { + circ.ccx(active, &diff[0], offset); + }); + } + + let demux_lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + if quotient_mode == Q944DivisionQuotientMode::QuotientWitness { + q944_partial_demux_excluding_sentinel(circ, q_div, s_rot, active, &demux_lenders); + } + + q945_controlled_arithmetic( + circ, + Q945ArithmeticOperation::Sub, + active, + &aref, + &bref, + q945_carry, + ); // A -= B_aligned if active + + if quotient_mode == Q944DivisionQuotientMode::Baseline { + set_bit_at_s_gated(circ, q_div, s_rot, active, offset, &demux_lenders); + } + + rotate_right(circ, b, &s_rot[0..rb]); // restore B >>= s_eff (bounded rotator) + + if quotient_mode == Q944DivisionQuotientMode::Baseline { + if lowq_exact_ctz_enabled() { + let lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + exact_multihot_ctz_erase( + circ, + q_div, + &s_rot[..ctz_bits.min(s_rot.len())], + active, + &lenders, + ); + } else { + let t = circ.alloc_qreg_bits("dg.ctz", w); + xor_const(circ, &t, n_pad); + let rev: Vec<&QReg> = q_div.iter().rev().collect(); + bit_length_lean(circ, &rev, &t, true); + let srr = s_rot.to_vec(); + let tr: Vec<&QReg> = t.iter().collect(); + ctrl_sub(circ, active, &srr, &tr); + bit_length_lean(circ, &rev, &t, false); + xor_const(circ, &t, n_pad); + for lane in t { + circ.zero_and_free(lane); + } + } + } else { + // Clear the complete shift for non-sentinel quotients before returning + // to the outer gate lifecycle. For s=24 only s[4:3] remain set, leaving + // the comparator's s[0:1] scratch exactly clean. + q944_clear_non_sentinel_shift(circ, q_div, s_rot); + } +} + +/// Gate-by-gate INVERSE of `division_substep_windowed` (for the backward pass). +/// Reverses the op sequence; the compute-use-uncompute blocks (clz-mask, offset, +/// offset-clean, q-demux) are self-inverse and run as-is; `rotate_left`<->right, +/// ctrl_sub->ctrl_add, ctrl_dec->ctrl_inc flip. Restores A += B<<`s_eff`, clears +/// the `q_div` bit, leaving `A/B/q_div/s/s_rot/offset` as before the forward step. +#[allow(clippy::too_many_arguments)] +pub(crate) fn division_substep_windowed_inv( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + q_div: &[QReg], + s_rot: &[&QReg], + offset: &QReg, + active: &QReg, + extra_lenders: &[&QReg], + lo_a: usize, + lo_b: usize, + rot_bits: usize, + ctz_bits: usize, + transcript_loans: BorrowedTranscriptLoans<'_>, + q945_carry: Option>, +) { + division_substep_windowed_inv_mode( + circ, + a, + b, + q_div, + s_rot, + offset, + active, + extra_lenders, + lo_a, + lo_b, + rot_bits, + ctz_bits, + transcript_loans, + q945_carry, + Q944DivisionQuotientMode::Baseline, + ); +} + +#[allow(clippy::too_many_arguments)] +fn division_substep_windowed_inv_mode( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + q_div: &[QReg], + s_rot: &[&QReg], + offset: &QReg, + active: &QReg, + extra_lenders: &[&QReg], + lo_a: usize, + lo_b: usize, + rot_bits: usize, + ctz_bits: usize, + transcript_loans: BorrowedTranscriptLoans<'_>, + q945_carry: Option>, + quotient_mode: Q944DivisionQuotientMode, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::ctrl_add; + let aref: Vec<&QReg> = a.iter().collect(); + let bref: Vec<&QReg> = b.iter().collect(); + let n_pad = q_div.len(); + let rb = rot_bits.min(s_rot.len()); + let w = s_rot.len(); + let off_lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(q_div.iter()) + .chain(s_rot.iter().copied()) + .chain(extra_lenders.iter().copied()) + .collect(); + + // 12' reconstruct s_rot from the quotient witness. The quotient-host route + // parked q[24] before the outer comparator and materializes other indices + // only after the comparator has restored its low shift scratch. + if quotient_mode == Q944DivisionQuotientMode::QuotientWitness { + q944_reverse_materialize_non_sentinel_index(circ, q_div, s_rot); + } else if lowq_exact_ctz_enabled() { + let lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + exact_multihot_ctz_deposit( + circ, + q_div, + &s_rot[..ctz_bits.min(s_rot.len())], + active, + &lenders, + ); + } else { + let t = circ.alloc_qreg_bits("dg.ctz", w); + xor_const(circ, &t, n_pad); + let rev: Vec<&QReg> = q_div.iter().rev().collect(); + bit_length_lean(circ, &rev, &t, true); + let srr = s_rot.to_vec(); + let tr: Vec<&QReg> = t.iter().collect(); + ctrl_add(circ, active, &srr, &tr); + bit_length_lean(circ, &rev, &t, false); + xor_const(circ, &t, n_pad); + for lane in t { + circ.zero_and_free(lane); + } + } + // 11' rotate_left (was rotate_right restore). + rotate_left(circ, b, &s_rot[0..rb]); + // 10' q_div demux (self-inverse XOR). + let demux_lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + if quotient_mode == Q944DivisionQuotientMode::Baseline { + set_bit_at_s_gated(circ, q_div, s_rot, active, offset, &demux_lenders); + } + // 9' ctrl_sub -> ctrl_add (restore A += B_aligned). + q945_controlled_arithmetic( + circ, + Q945ArithmeticOperation::Add, + active, + &aref, + &bref, + q945_carry, + ); + if quotient_mode == Q944DivisionQuotientMode::QuotientWitness { + q944_partial_demux_excluding_sentinel(circ, q_div, s_rot, active, &demux_lenders); + } + // 8' offset clean (self-inverse, _middle); diff in the clz's pa. + if selective_direct_bitlen_needed( + circ, + a, + b, + lo_a, + lo_a, + Q945HclzForm::Parity, + transcript_loans.q945_local_borrowed(Q945HclzForm::Parity), + ) { + direct_bitlen_diff_parity(circ, a, b, lo_a, lo_a, offset, active, extra_lenders); + } else if lowq_hybrid_clz_enabled() { + hybrid_bitlen_diff_parity( + circ, + a, + b, + lo_a, + lo_a, + offset, + active, + transcript_loans.parity, + ); + } else { + clz_diff_body_middle(circ, a, b, w, lo_a, lo_a, |circ, diff| { + circ.ccx(active, &diff[0], offset); + }); + } + // 7' ctrl_dec -> ctrl_inc. + ctrl_inc_by_off(circ, active, offset, s_rot, &off_lenders); + // 6' rotate_left (was rotate_right by offset). + rotate_one_by_off(circ, b, active, offset, true, &off_lenders); + // 5' offset compute (self-inverse) -- narrowed, same window as forward. + if lowq_q958_gated_compare_enabled() { + q944_division_narrow_lt_controlled( + circ, + a, + b, + offset, + active, + lo_a, + q945_carry, + quotient_mode, + ); + } else { + let or = circ.alloc_qreg("dg.offr"); + narrow_lt(circ, a, b, &or, lo_a); + circ.ccx(active, &or, offset); + narrow_lt(circ, a, b, &or, lo_a); + circ.zero_and_free(or); + } + // 4' rotate_right (was rotate_left B<. + if selective_direct_bitlen_needed( + circ, + a, + b, + lo_a, + lo_b, + Q945HclzForm::Update, + transcript_loans.q945_local_borrowed(Q945HclzForm::Update), + ) { + direct_bitlen_diff_update( + circ, + a, + b, + lo_a, + lo_b, + s_rot, + active, + offset, + true, + extra_lenders, + ); + } else if lowq_hybrid_clz_enabled() { + hybrid_bitlen_diff_update( + circ, + a, + b, + lo_a, + lo_b, + s_rot, + active, + true, + transcript_loans.update, + ); + } else { + clz_diff_body_middle(circ, a, b, w, lo_a, lo_b, |circ, diff| { + for j in 0..w { + circ.ccx(active, &diff[j], &s_rot[j]); + } + }); + } +} + +/// `out ^= (reg != 0)` (restores reg). +fn or_nonzero(circ: &mut Circuit, reg: &[QReg], out: &QReg) { + use crate::point_add::trailmix_port::arith::mcx::mcx_clean_k; + let prev = circ.push_section("p.ornz"); + for q in reg { + circ.x(q); + } + let refs: Vec<&QReg> = reg.iter().collect(); + mcx_clean_k(circ, &refs, out); // out ^= (reg == 0) + for q in reg { + circ.x(q); + } + circ.x(out); // out ^= (reg != 0) + circ.pop_section(&prev); +} + +/// `out ^= (reg == 0)` via X-bracket + mcx (clean, self-inverse, restores reg). +fn or_is_zero(circ: &mut Circuit, reg: &[QReg], out: &QReg) { + use crate::point_add::trailmix_port::arith::mcx::mcx_clean_k; + let prev = circ.push_section("p.orz"); + for q in reg { + circ.x(q); + } + let refs: Vec<&QReg> = reg.iter().collect(); + mcx_clean_k(circ, &refs, out); // out ^= (reg == 0) + for q in reg { + circ.x(q); + } + circ.pop_section(&prev); +} + +fn toggle_zero_dirty( + circ: &mut Circuit, + reg: &[QReg], + out: &QReg, + candidates: &[&QReg], + action: &[&QReg], +) { + for q in reg { + circ.x(q); + } + let controls: Vec<&QReg> = reg.iter().collect(); + dirty_controlled_x(circ, &controls, out, candidates, action); + for q in reg.iter().rev() { + circ.x(q); + } +} + +fn toggle_nonzero_dirty( + circ: &mut Circuit, + reg: &[QReg], + out: &QReg, + candidates: &[&QReg], + action: &[&QReg], +) { + toggle_zero_dirty(circ, reg, out, candidates, action); + circ.x(out); +} + +#[allow(clippy::too_many_arguments)] +fn borrowed_swap_in_place( + circ: &mut Circuit, + aa: &[QReg], + bb: &[QReg], + cca: &[QReg], + ccb: &[QReg], + qq: &[QReg], + counter: &[QReg], + parity: &QReg, + s_rot: &[QReg], + off: &QReg, +) { + assert!(s_rot.len() >= 2, "Q959 swap predicate lanes"); + let gate = if lowq_q956_off_borrow_enabled() { + assert_q956_off_alias(off, counter, s_rot); + assert!(!std::ptr::eq(off, parity), "Q956 off aliases parity"); + &s_rot[2] + } else { + off + }; + let qz = &s_rot[0]; + let anz = &s_rot[1]; + let candidates: Vec<&QReg> = aa + .iter() + .chain(bb.iter()) + .chain(cca.iter()) + .chain(ccb.iter()) + .chain(qq.iter()) + .chain(counter.iter()) + .chain(s_rot.iter()) + .chain(std::iter::once(parity)) + .chain(std::iter::once(off)) + .collect(); + let action = [qz, anz, gate]; + let prev = circ.push_section("p.swap.borrowed"); + + // At every step boundary s_rot is clean. Retain the two predicates in its + // first lanes and materialize their active conjunction in a third lane on + // Q956, leaving the conditionally-clean counter alias untouched. + toggle_zero_dirty(circ, qq, qz, &candidates, &action); + toggle_nonzero_dirty(circ, aa, anz, &candidates, &action); + let toggle_gate = |circ: &mut Circuit| { + for q in counter { + circ.x(q); + } + let mut controls: Vec<&QReg> = counter.iter().collect(); + controls.push(qz); + controls.push(anz); + dirty_controlled_x(circ, &controls, gate, &candidates, &action); + for q in counter.iter().rev() { + circ.x(q); + } + }; + toggle_gate(circ); + for j in 0..aa.len() { + circ.cswap(gate, &aa[j], &bb[j]); + } + for j in 0..cca.len() { + circ.cswap(gate, &cca[j], &ccb[j]); + } + circ.cx(gate, parity); + toggle_gate(circ); + toggle_nonzero_dirty(circ, aa, anz, &candidates, &action); + toggle_zero_dirty(circ, qq, qz, &candidates, &action); + circ.pop_section(&prev); +} + +/// WINDOWED multiply substep: same as `multiply_substep_act` but the two clz +/// computations scan the schedule's cofactor clz windows. The `o` clz is on +/// (ca, cb< ca window (`ca_window`). The s_rot-clean clz is +/// on (cb, ca) -> cb/ca windows. The cb< not windowed. Gate-identical for in-schedule inputs. +#[allow(clippy::too_many_arguments)] +pub(crate) fn multiply_substep_windowed( + circ: &mut Circuit, + a: &[QReg], + b: &[QReg], + q_mul: &[QReg], + s_rot: &[&QReg], + off: &QReg, + active: &QReg, + extra_lenders: &[&QReg], + ca_window: usize, + cb_window: usize, + rot_bits: usize, + ctz_bits: usize, + transcript_loans: BorrowedTranscriptLoans<'_>, + q945_carry: Option>, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::ctrl_add; + let aref: Vec<&QReg> = a.iter().collect(); + let bref: Vec<&QReg> = b.iter().collect(); + let n_pad = q_mul.len(); + let rb = rot_bits.min(s_rot.len()); + let w = s_rot.len(); + let off_lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(q_mul.iter()) + .chain(s_rot.iter().copied()) + .chain(extra_lenders.iter().copied()) + .collect(); + + if lowq_exact_ctz_enabled() { + let lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + exact_multihot_ctz_deposit( + circ, + q_mul, + &s_rot[..ctz_bits.min(s_rot.len())], + active, + &lenders, + ); + } else { + let t = circ.alloc_qreg_bits("mg.ctz", w); + let rev: Vec<&QReg> = q_mul.iter().rev().collect(); + xor_const(circ, &t, n_pad); + bit_length_lean(circ, &rev, &t, true); + for j in 0..w { + circ.ccx(active, &t[j], &s_rot[j]); + } + bit_length_lean(circ, &rev, &t, false); + xor_const(circ, &t, n_pad); + for lane in t { + circ.zero_and_free(lane); + } + } + + let demux_lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + set_bit_at_s_gated(circ, q_mul, s_rot, active, off, &demux_lenders); + + rotate_left(circ, b, &s_rot[0..rb]); // b <<= s if active (bounded rotator) + q945_controlled_arithmetic( + circ, + Q945ArithmeticOperation::Add, + active, + &aref, + &bref, + q945_carry, + ); // a += b<>= s_eff (bounded rotator) + + // clean s_rot via _middle clz on (cb, ca): s_rot += (bitlen(cb)-bitlen(ca)). + if selective_direct_bitlen_needed( + circ, + b, + a, + cb_window, + ca_window, + Q945HclzForm::Update, + transcript_loans.q945_local_borrowed(Q945HclzForm::Update), + ) { + direct_bitlen_diff_update( + circ, + b, + a, + cb_window, + ca_window, + s_rot, + active, + off, + false, + extra_lenders, + ); + } else if lowq_hybrid_clz_enabled() { + hybrid_bitlen_diff_update( + circ, + b, + a, + cb_window, + ca_window, + s_rot, + active, + false, + transcript_loans.update, + ); + } else { + clz_diff_body_middle(circ, b, a, w, cb_window, ca_window, |circ, diff| { + let srr = s_rot.to_vec(); + let ter: Vec<&QReg> = diff.iter().collect(); + ctrl_add(circ, active, &srr, &ter); + }); + } +} + +/// Gate-by-gate INVERSE of `multiply_substep_windowed` (backward pass). Reverses +/// the sequence; clz/o/q-demux blocks are self-inverse; `rotate_left`<->right, +/// ctrl_add->ctrl_sub, ctrl_inc->ctrl_dec flip. Restores ca -= cb<, + q945_carry: Option>, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_primitives::{ctrl_add, ctrl_sub}; + let aref: Vec<&QReg> = a.iter().collect(); + let bref: Vec<&QReg> = b.iter().collect(); + let n_pad = q_mul.len(); + let rb = rot_bits.min(s_rot.len()); + let w = s_rot.len(); + let _ = ctrl_add; + let off_lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(q_mul.iter()) + .chain(s_rot.iter().copied()) + .chain(extra_lenders.iter().copied()) + .collect(); + + // 10' s_rot clean inverse: ctrl_add -> ctrl_sub (_middle); diff in the clz's pa. + if selective_direct_bitlen_needed( + circ, + b, + a, + cb_window, + ca_window, + Q945HclzForm::Update, + transcript_loans.q945_local_borrowed(Q945HclzForm::Update), + ) { + direct_bitlen_diff_update( + circ, + b, + a, + cb_window, + ca_window, + s_rot, + active, + off, + true, + extra_lenders, + ); + } else if lowq_hybrid_clz_enabled() { + hybrid_bitlen_diff_update( + circ, + b, + a, + cb_window, + ca_window, + s_rot, + active, + true, + transcript_loans.update, + ); + } else { + clz_diff_body_middle(circ, b, a, w, cb_window, ca_window, |circ, diff| { + let srr = s_rot.to_vec(); + let ter: Vec<&QReg> = diff.iter().collect(); + ctrl_sub(circ, active, &srr, &ter); + }); + } + // 9' rotate_left (was rotate_right restore). + rotate_left(circ, b, &s_rot[0..rb]); + // 8' clean-o block (self-inverse) -- narrowed, same window as forward. + if lowq_q958_gated_compare_enabled() { + narrow_lt_controlled(circ, a, b, off, active, ca_window, q945_carry); + } else { + let lt = circ.alloc_qreg("mg.cleanlt"); + narrow_lt(circ, a, b, <, ca_window); + circ.ccx(active, <, off); + narrow_lt(circ, a, b, <, ca_window); + circ.zero_and_free(lt); + } + // 7' ctrl_inc -> ctrl_dec. + ctrl_dec_by_off(circ, active, off, s_rot, &off_lenders); + // 6' rotate_right (was rotate_left by o). + rotate_one_by_off(circ, b, active, off, false, &off_lenders); + // 5' o clz block (self-inverse, _middle); diff in the clz's pa. + if selective_direct_bitlen_needed( + circ, + a, + b, + ca_window, + ca_window, + Q945HclzForm::Parity, + transcript_loans.q945_local_borrowed(Q945HclzForm::Parity), + ) { + direct_bitlen_diff_parity( + circ, + a, + b, + ca_window, + ca_window, + off, + active, + extra_lenders, + ); + } else if lowq_hybrid_clz_enabled() { + hybrid_bitlen_diff_parity( + circ, + a, + b, + ca_window, + ca_window, + off, + active, + transcript_loans.parity, + ); + } else { + clz_diff_body_middle(circ, a, b, w, ca_window, ca_window, |circ, diff| { + circ.ccx(active, &diff[0], off); + }); + } + // 4' ctrl_add -> ctrl_sub (undo ca += cb< = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + set_bit_at_s_gated(circ, q_mul, s_rot, active, off, &demux_lenders); + // 1' clear the least-significant-set-bit index from s_rot. + if lowq_exact_ctz_enabled() { + let lenders: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(extra_lenders.iter().copied()) + .collect(); + exact_multihot_ctz_erase( + circ, + q_mul, + &s_rot[..ctz_bits.min(s_rot.len())], + active, + &lenders, + ); + } else { + let t = circ.alloc_qreg_bits("mg.ctz", w); + let rev: Vec<&QReg> = q_mul.iter().rev().collect(); + xor_const(circ, &t, n_pad); + bit_length_lean(circ, &rev, &t, true); + for j in 0..w { + circ.ccx(active, &t[j], &s_rot[j]); + } + bit_length_lean(circ, &rev, &t, false); + xor_const(circ, &t, n_pad); + for lane in t { + circ.zero_and_free(lane); + } + } +} + +// NEXT (reversible_pz_notes.md has the primitive mapping): +// fn normalize_input(circ, x, sgn) -- x -> min(x,P-x), set sgn +// fn division_substep(circ, regs, flags, s, bound) +// fn multiply_substep(circ, regs, flags, s, bound) +// fn transition(circ, regs, flags) +// fn iterate(circ, regs, flags, n_iters) -- the fixed-count driver +// fn recover_inverse(circ, regs, flags) -- parity^sgn sign fix +// test pz_sm_faithful -- per-iter contract vs a Rust port of pz_big_step + +// ===== shrunken_pz reversible inversion step driver (shared fwd/back, used by +// the round-trip test AND the EC-add) ===== + +// ---- shared forward/backward step helpers (used by the round-trip) ---- + +/// Compute `g = active AND (x < y)` directly from the comparator carry, run the +/// gated body, then clear `g` with the same restored-input comparison. No +/// separate `(x < y)` lane is retained across the body. +pub(crate) fn gate_hold( + c: &mut Circuit, + x: &[QReg], + y: &[QReg], + active: &QReg, + g: &QReg, + borrowed_carry: Option<&QReg>, + body: impl FnOnce(&mut Circuit, &QReg), +) { + let xr: Vec<&QReg> = x.iter().collect(); + let yr: Vec<&QReg> = y.iter().collect(); + let compare = |c: &mut Circuit| { + if let Some(carry) = borrowed_carry { + borrow_compare_gated_refs_with_carry(c, &xr, &yr, active, g, carry); + } else { + borrow_compare_gated_refs(c, &xr, &yr, active, g); + } + }; + compare(c); + body(c, g); + compare(c); +} + +/// Run a gated body with `g = (counter == 0) AND (x < y)` while allocating +/// only `g`. The existing parity lane temporarily hosts the active predicate; +/// its prior value is parked in `g`, swapped back before the body, and restored +/// exactly after the second comparison. Two clean shift lanes host the +/// comparator output and carry only while the body is not running. +#[allow(clippy::too_many_arguments)] +fn gate_hold_counter_zero( + c: &mut Circuit, + x: &[QReg], + y: &[QReg], + counter: &[QReg], + parity: &QReg, + s_rot: &[QReg], + g: &QReg, + candidates: &[&QReg], + body: impl FnOnce(&mut Circuit, &QReg), +) { + assert!(s_rot.len() >= 2, "Q959 comparator borrow lanes"); + let lt = &s_rot[0]; + let carry = &s_rot[1]; + let action = [g, parity, lt, carry]; + let xr: Vec<&QReg> = x.iter().collect(); + let yr: Vec<&QReg> = y.iter().collect(); + + let swap_parity_gate = |c: &mut Circuit| { + c.cx(parity, g); + c.cx(g, parity); + c.cx(parity, g); + }; + let toggle_active = |c: &mut Circuit| { + if counter.is_empty() { + c.x(parity); + } else { + toggle_zero_dirty(c, counter, parity, candidates, &action); + } + }; + let compare = |c: &mut Circuit| { + borrow_compare_refs_with_carry(c, &xr, &yr, lt, carry); + }; + let remove_nonless_active = |c: &mut Circuit| { + for q in counter { + c.x(q); + } + c.x(lt); + let mut controls: Vec<&QReg> = counter.iter().collect(); + controls.push(lt); + dirty_controlled_x(c, &controls, g, candidates, &action); + c.x(lt); + for q in counter.iter().rev() { + c.x(q); + } + }; + + let compute_allocation_serial = c.b.allocation_serial; + let lifecycle_active_qubits = c.b.active_qubits; + + // Park P in g, clear parity, compute active in parity, then swap the two: + // parity=P and g=active. Remove the active-and-not-less branch to obtain + // g=active-and-less. + c.cx(parity, g); + c.cx(g, parity); + toggle_active(c); + swap_parity_gate(c); + compare(c); + remove_nonless_active(c); + compare(c); + + assert_eq!(c.b.allocation_serial, compute_allocation_serial); + assert_eq!(c.b.active_qubits, lifecycle_active_qubits); + body(c, g); + assert_eq!(c.b.active_qubits, lifecycle_active_qubits); + + // Exact reverse of the preparation above. + let uncompute_allocation_serial = c.b.allocation_serial; + compare(c); + remove_nonless_active(c); + compare(c); + swap_parity_gate(c); + toggle_active(c); + c.cx(g, parity); + c.cx(parity, g); + assert_eq!(c.b.allocation_serial, uncompute_allocation_serial); + assert_eq!(c.b.active_qubits, lifecycle_active_qubits); +} + +#[allow(clippy::too_many_arguments)] +fn q944_gate_hold_counter_zero_hosted( + c: &mut Circuit, + x: &[QReg], + y: &[QReg], + counter: &[QReg], + parity: &QReg, + row: usize, + substep: Q945Substep, + inverse: bool, + host: Q945Host, + peer: Q945Host, + host_lane: &QReg, + peer_lane: &QReg, + body: impl FnOnce(&mut Circuit, &QReg), +) { + assert!(lowq_q944_full_structural_enabled()); + assert_eq!(q944_full_gate_route(row, substep), Q944FullGateRoute::Ordinary { host, peer }); + assert_eq!(counter.len(), 1, "Q944 hosted gate requires the affine done lane"); + assert_eq!(x.len(), y.len()); + assert_eq!(host.bit, peer.bit); + assert!(host.bit < x.len()); + assert!(!std::ptr::eq(host_lane, peer_lane)); + assert!(!std::ptr::eq(host_lane, parity)); + assert!(!std::ptr::eq(peer_lane, parity)); + + let host_in_x = std::ptr::eq(host_lane, &x[host.bit]); + let host_in_y = std::ptr::eq(host_lane, &y[host.bit]); + let peer_in_x = std::ptr::eq(peer_lane, &x[peer.bit]); + let peer_in_y = std::ptr::eq(peer_lane, &y[peer.bit]); + assert_eq!(usize::from(host_in_x) + usize::from(host_in_y), 1); + assert_eq!(usize::from(peer_in_x) + usize::from(peer_in_y), 1); + assert!(host_in_x == peer_in_y && host_in_y == peer_in_x); + + let xr: Vec<&QReg> = x + .iter() + .enumerate() + .filter_map(|(bit, lane)| (bit != host.bit).then_some(lane)) + .collect(); + let yr: Vec<&QReg> = y + .iter() + .enumerate() + .filter_map(|(bit, lane)| (bit != host.bit).then_some(lane)) + .collect(); + let toggle_gate = |c: &mut Circuit| { + c.x(&counter[0]); + strict_compare_gated_dirty_carry_refs( + c, + &xr, + &yr, + &counter[0], + host_lane, + parity, + ); + c.x(&counter[0]); + }; + + let entry_active = c.b.active_qubits; + let compute_serial = c.b.allocation_serial; + let entry_next_qubit = c.b.next_qubit; + let compute_free = c.b.free_qubits.clone(); + toggle_gate(c); + assert_eq!(c.b.allocation_serial, compute_serial); + assert_eq!(c.b.active_qubits, entry_active); + assert_eq!(c.b.free_qubits, compute_free); + + body(c, host_lane); + assert_eq!(c.b.allocation_serial, compute_serial); + assert_eq!(c.b.next_qubit, entry_next_qubit); + assert_eq!(c.b.free_qubits, compute_free); + assert_eq!(c.b.active_qubits, entry_active); + + let uncompute_serial = c.b.allocation_serial; + let uncompute_free = c.b.free_qubits.clone(); + toggle_gate(c); + assert_eq!(c.b.allocation_serial, uncompute_serial); + assert_eq!(c.b.active_qubits, entry_active); + assert_eq!(c.b.free_qubits, uncompute_free); + c.b.record_lowq_liveness_marker(format!( + concat!( + "q944_full_gate_host=1;row={};substep={};host={};bit={};", + "direction={};", + "peer={};peer_bit={};host_physical={};peer_physical={};", + "omitted_equal_zero_pair=true;compute_allocation_free=true;", + "uncompute_allocation_free=true;entry_active={};exit_active={};", + "entry_allocation_serial={};exit_allocation_serial={};", + "entry_next_qubit={};exit_next_qubit={};free_list_restored=true;", + "host_restored_zero=true;peer_restored_zero=true;", + "forward_reverse_symmetric=true;phase_clean=true;ancilla_clean=true;", + "census_commit={};census_tree={};census_job={}" + ), + row, + substep.label(), + host.register.label(), + host.bit, + if inverse { "reverse" } else { "forward" }, + peer.register.label(), + peer.bit, + host_lane.id(), + peer_lane.id(), + entry_active, + c.b.active_qubits, + compute_serial, + c.b.allocation_serial, + entry_next_qubit, + c.b.next_qubit, + Q944_GATE_HOST_CENSUS_COMMIT, + Q944_GATE_HOST_CENSUS_TREE, + Q944_GATE_HOST_CENSUS_JOB, + )); +} + +#[allow(clippy::too_many_arguments)] +fn q944_gate_hold_quotient_witness( + c: &mut Circuit, + x: &[QReg], + y: &[QReg], + counter: &[QReg], + parity: &QReg, + q: &[QReg], + s_rot: &[QReg], + boundary_candidates: &[&QReg], + row: usize, + inverse: bool, + body: impl FnOnce(&mut Circuit, &QReg), +) { + assert!(lowq_q944_full_structural_enabled()); + assert_eq!( + q944_full_gate_route(row, Q945Substep::Division), + Q944FullGateRoute::QuotientWitness + ); + assert_eq!(q.len(), Q944_QUOTIENT_WIDTH); + assert_eq!(s_rot.len(), Q944_SHIFT_WIDTH); + let s_refs: Vec<&QReg> = s_rot.iter().collect(); + let host = &q[Q944_QUOTIENT_SENTINEL]; + let entry_active = c.b.active_qubits; + let handoff_serial = c.b.allocation_serial; + let entry_next_qubit = c.b.next_qubit; + let entry_free = c.b.free_qubits.clone(); + if inverse { + q944_reverse_park_sentinel(c, q, &s_refs); + } + assert_eq!(c.b.allocation_serial, handoff_serial); + assert_eq!(c.b.active_qubits, entry_active); + + gate_hold_counter_zero( + c, + x, + y, + counter, + parity, + s_rot, + host, + boundary_candidates, + body, + ); + assert_eq!(c.b.allocation_serial, handoff_serial); + assert_eq!(c.b.next_qubit, entry_next_qubit); + assert_eq!(c.b.free_qubits, entry_free); + if !inverse { + let commit_serial = c.b.allocation_serial; + q944_commit_parked_sentinel(c, q, &s_refs); + assert_eq!(c.b.allocation_serial, commit_serial); + } + assert_eq!(c.b.allocation_serial, handoff_serial); + assert_eq!(c.b.next_qubit, entry_next_qubit); + assert_eq!(c.b.free_qubits, entry_free); + assert_eq!(c.b.active_qubits, entry_active); + c.b.record_lowq_liveness_marker(format!( + concat!( + "q944_full_quotient_witness=1;row={};substep=division;", + "direction={};host=q;bit=24;host_physical={};sentinel=24;", + "park=s[4:3];gate_scratch=s[1:0];partial_demux_before_arithmetic=true;", + "reverse_park={};reverse_erasure={};forward_commit={};", + "handoff_allocation_free=true;entry_active={};exit_active={};", + "entry_allocation_serial={};exit_allocation_serial={};", + "entry_next_qubit={};exit_next_qubit={};free_list_restored=true;", + "phase_clean=true;ancilla_clean=true;witness_commit={};", + "witness_tree={};witness_blob={};witness_job={}" + ), + row, + if inverse { "reverse" } else { "forward" }, + host.id(), + inverse, + inverse, + !inverse, + entry_active, + c.b.active_qubits, + handoff_serial, + c.b.allocation_serial, + entry_next_qubit, + c.b.next_qubit, + Q944_QUOTIENT_WITNESS_COMMIT, + Q944_QUOTIENT_WITNESS_TREE, + Q944_QUOTIENT_WITNESS_BLOB, + Q944_QUOTIENT_WITNESS_JOB, + )); +} + +#[allow(clippy::too_many_arguments)] +fn q944_run_full_gate( + c: &mut Circuit, + row: usize, + substep: Q945Substep, + inverse: bool, + x: &[QReg], + y: &[QReg], + aa: &[QReg], + bb: &[QReg], + cca: &[QReg], + ccb: &[QReg], + qq: &[QReg], + counter: &[QReg], + parity: &QReg, + s_rot: &[QReg], + off: &QReg, + boundary_candidates: &[&QReg], + body: impl FnOnce(&mut Circuit, &QReg), +) { + match q944_full_gate_route(row, substep) { + Q944FullGateRoute::Ordinary { host, peer } => { + let host_lane = q945_host_lane(host, aa, bb, cca, ccb, qq, off); + let peer_lane = q945_host_lane(peer, aa, bb, cca, ccb, qq, off); + q944_gate_hold_counter_zero_hosted( + c, + x, + y, + counter, + parity, + row, + substep, + inverse, + host, + peer, + host_lane, + peer_lane, + body, + ); + } + Q944FullGateRoute::QuotientWitness => { + assert_eq!(substep, Q945Substep::Division); + q944_gate_hold_quotient_witness( + c, + x, + y, + counter, + parity, + qq, + s_rot, + boundary_candidates, + row, + inverse, + body, + ); + } + } +} + +/// done-counter (forward: counter += conv) / its inverse (counter -= conv), +/// conv = (A==0 & q==0). `done` is clean scratch (|0> at exit). User's recipe. +pub(crate) fn done_counter_fn( + c: &mut Circuit, + aa: &[QReg], + qq: &[QReg], + counter: &[QReg], + s_rot: &[QReg], + off: &QReg, + candidates: &[&QReg], + inverse: bool, +) { + if counter.is_empty() { + return; + } + if lowq_q959_selective_borrow_enabled() { + assert!(s_rot.len() >= 2, "Q959 done predicate lanes"); + let done = if lowq_q956_off_borrow_enabled() { + // Boundary logic gets a truly clean lane; counter[0] is reserved + // for conditionally-clean borrowing only inside active bodies. + assert_q956_off_alias(off, counter, s_rot); + &s_rot[2] + } else { + off + }; + let az = &s_rot[0]; + let qz = &s_rot[1]; + let counter_refs: Vec<&QReg> = counter.iter().collect(); + let action = [done, az, qz]; + let conv = |c: &mut Circuit| { + toggle_zero_dirty(c, aa, az, candidates, &action); + toggle_zero_dirty(c, qq, qz, candidates, &action); + c.ccx(az, qz, done); + toggle_zero_dirty(c, qq, qz, candidates, &action); + toggle_zero_dirty(c, aa, az, candidates, &action); + }; + let cnz = |c: &mut Circuit| { + toggle_nonzero_dirty(c, counter, az, candidates, &action); + c.cx(az, done); + toggle_nonzero_dirty(c, counter, az, candidates, &action); + }; + if inverse { + cnz(c); + dirty_controlled_inc_suffix(c, &[done], &counter_refs, 0, true, candidates); + conv(c); + } else { + conv(c); + dirty_controlled_inc_suffix(c, &[done], &counter_refs, 0, false, candidates); + cnz(c); + } + return; + } + + let done = c.alloc_qreg("done"); + let conv = |c: &mut Circuit, done: &QReg| { + let az = c.alloc_qreg("d.az"); + let qz = c.alloc_qreg("d.qz"); + or_is_zero(c, aa, &az); + or_is_zero(c, qq, &qz); + c.ccx(&az, &qz, done); // done ^= (A==0 & q==0) + or_is_zero(c, qq, &qz); + or_is_zero(c, aa, &az); + c.zero_and_free(qz); + c.zero_and_free(az); + }; + let cnz = |c: &mut Circuit, done: &QReg| { + let z = c.alloc_qreg("d.cnz"); + or_nonzero(c, counter, &z); + c.cx(&z, done); // done ^= (counter != 0) + or_nonzero(c, counter, &z); + c.zero_and_free(z); + }; + if inverse { + cnz(c, &done); + ctrl_dec(c, &done, counter); + conv(c, &done); + } else { + conv(c, &done); + ctrl_inc(c, &done, counter); + cnz(c, &done); + } + c.zero_and_free(done); +} + +const Q949_AFFINE_COUNTER_WIDTH: usize = 8; +const Q949_FIRST_TERMINAL_ROW: usize = 371; +const SECP256K1_P_LOW_BYTE: usize = 0x2f; + +const BORROWED_ROW_379: usize = 379; +const BORROWED_ROW_380: usize = 380; +const BORROWED_ROW_379_TRANSIENT_A_BITS: usize = 71; +const BORROWED_ROW_380_FORWARD_CB_BITS: usize = 255; + +fn assert_borrowed_transcript_lender_certificate() { + use super::q949_robust_envelope::{ + q949_robust_envelope_sha256, q949_robust_pair_symmetric_widths, + q949_robust_phase_requirements, q949_robust_row_requirements, + Q949RobustPhaseRequirement, Q949_ROBUST_ENVELOPE_SHA256, + }; + use std::sync::OnceLock; + + static CHECKED: OnceLock<()> = OnceLock::new(); + CHECKED.get_or_init(|| { + assert_eq!( + q949_robust_envelope_sha256(), + Q949_ROBUST_ENVELOPE_SHA256, + "Borrowed transcript lender certificate envelope digest drift" + ); + assert_eq!( + q949_robust_row_requirements(BORROWED_ROW_379), + [72, 72, 256, 256, 25], + "Borrowed transcript row-379 support projection drift" + ); + assert_eq!( + q949_robust_pair_symmetric_widths(BORROWED_ROW_379), + [72, 72, 256, 256, 25], + "Borrowed transcript row-379 allocation drift" + ); + assert_eq!( + q949_robust_phase_requirements( + BORROWED_ROW_379, + Q949RobustPhaseRequirement::ForwardTransient, + ), + Some([71, 72, 256, 256, 25]), + "Borrowed transcript row-379 transient support drift" + ); + assert_eq!( + q949_robust_row_requirements(BORROWED_ROW_380), + [72, 72, 256, 255, 25], + "Borrowed transcript row-380 support projection drift" + ); + assert_eq!( + q949_robust_pair_symmetric_widths(BORROWED_ROW_380), + [72, 72, 256, 256, 25], + "Borrowed transcript row-380 allocation drift" + ); + assert_eq!( + q949_robust_phase_requirements( + BORROWED_ROW_380, + Q949RobustPhaseRequirement::ForwardEntry, + ), + Some([72, 70, 256, 255, 25]), + "Borrowed transcript row-380 forward-entry support drift" + ); + assert_eq!(BORROWED_ROW_379_TRANSIENT_A_BITS, 71); + assert_eq!(BORROWED_ROW_380_FORWARD_CB_BITS, 255); + }); +} + +/// Select a loan only at a schedule point with an explicit zero certificate. +/// Rows before 371 have not entered terminal counting, so `counter[0]=0`. +/// Row 379 multiply has transient `A < 2^71`; row 380 division has a zero +/// cofactor top lane `cb[255]` in the forward direction. At reverse row 380, +/// `ca[255]` is usable only after normalizing the exact schedule relation +/// `ca[255] = NOT(active AND ca( + row: usize, + inverse: bool, + substep: BorrowedTranscriptSubstep, + aa: &'a [QReg], + cca: &'a [QReg], + ccb: &'a [QReg], + counter: &'a [QReg], + relation_control: Option<&'a QReg>, +) -> Option> { + if !lowq_borrowed_transcript_experiment_enabled() { + return None; + } + assert_borrowed_transcript_lender_certificate(); + + let (lane, kind, preparation) = if row < Q949_FIRST_TERMINAL_ROW { + if q946_second_ownership_release_requested() { + // The affine done lane is also the active-masked off selector on + // Q946, so it cannot simultaneously be a transcript operand. + // Own the seventh transcript lane at these slack sites instead. + return None; + } + assert_eq!( + counter.len(), + 1, + "borrowed transcript preterminal counter ownership drift" + ); + ( + &counter[0], + BorrowedTranscriptLoanKind::PreterminalCounter, + BorrowedTranscriptPreparation::AlreadyZero, + ) + } else if row == BORROWED_ROW_379 && substep == BorrowedTranscriptSubstep::Multiply { + assert_eq!(aa.len(), 72, "borrowed transcript row-379 A allocation drift"); + assert!( + BORROWED_ROW_379_TRANSIENT_A_BITS <= 71, + "borrowed transcript row-379 A[71] is not above the transient support" + ); + ( + &aa[71], + BorrowedTranscriptLoanKind::Row379AHigh, + BorrowedTranscriptPreparation::AlreadyZero, + ) + } else if row == BORROWED_ROW_380 && substep == BorrowedTranscriptSubstep::Division { + assert_eq!(cca.len(), 256, "borrowed transcript row-380 ca allocation drift"); + assert_eq!(ccb.len(), 256, "borrowed transcript row-380 cb allocation drift"); + if inverse { + if !lowq_reverse_ca255_relational_loan_enabled() { + return None; + } + let control = relation_control + .expect("reverse ca[255] relational loan requires the live division predicate"); + ( + &cca[255], + BorrowedTranscriptLoanKind::Row380ReverseCaHigh, + BorrowedTranscriptPreparation::ComplementOf(control), + ) + } else { + assert!( + BORROWED_ROW_380_FORWARD_CB_BITS <= 255, + "borrowed transcript forward row-380 cb[255] is not above support" + ); + ( + &ccb[255], + BorrowedTranscriptLoanKind::Row380ForwardCbHigh, + BorrowedTranscriptPreparation::AlreadyZero, + ) + } + } else { + return None; + }; + + Some(BorrowedTranscriptLoan { + lane, + kind, + row, + inverse, + substep, + preparation, + }) +} + +#[allow(clippy::too_many_arguments)] +fn q945_host_lane<'a>( + host: Q945Host, + aa: &'a [QReg], + bb: &'a [QReg], + cca: &'a [QReg], + ccb: &'a [QReg], + qq: &'a [QReg], + off: &'a QReg, +) -> &'a QReg { + let register = match host.register { + Q945StateRegister::A => aa, + Q945StateRegister::B => bb, + Q945StateRegister::Ca => cca, + Q945StateRegister::Cb => ccb, + Q945StateRegister::Q => qq, + Q945StateRegister::CounterOff => { + assert_eq!(host.bit, 0, "Q945 counter/off host bit drift"); + return off; + } + }; + register.get(host.bit).unwrap_or_else(|| { + panic!( + "Q945 host {}[{}] is outside its live allocation {}", + host.register.label(), + host.bit, + register.len() + ) + }) +} + +#[allow(clippy::too_many_arguments)] +fn q945_local_hclz_loans<'a>( + row: usize, + inverse: bool, + substep: BorrowedTranscriptSubstep, + aa: &'a [QReg], + bb: &'a [QReg], + cca: &'a [QReg], + ccb: &'a [QReg], + qq: &'a [QReg], + counter: &'a [QReg], + off: &'a QReg, +) -> Option> { + if !Q945_HCLZ_ROWS.contains(&row) || !lowq_q945_local_hosts_enabled() { + return None; + } + assert_eq!(counter.len(), 1, "Q945 requires the affine done lane"); + assert!(std::ptr::eq(off, &counter[0]), "Q945 off alias drift"); + let table_substep = match substep { + BorrowedTranscriptSubstep::Division => Q945Substep::Division, + BorrowedTranscriptSubstep::Multiply => Q945Substep::Multiply, + }; + let make = |form| match q945_hclz_route(row, table_substep, form) { + Q945HclzRoute::Borrow(host) => Some(BorrowedTranscriptLoan { + lane: q945_host_lane(host, aa, bb, cca, ccb, qq, off), + kind: BorrowedTranscriptLoanKind::Q945LocalHost(host, form), + row, + inverse, + substep, + preparation: BorrowedTranscriptPreparation::AlreadyZero, + }), + Q945HclzRoute::Direct => None, + }; + Some(BorrowedTranscriptLoans { + update: make(Q945HclzForm::Update), + parity: make(Q945HclzForm::Parity), + q945_local_class: true, + }) +} + +#[allow(clippy::too_many_arguments)] +fn q945_narrow_carry<'a>( + row: usize, + substep: Q945Substep, + aa: &'a [QReg], + bb: &'a [QReg], + cca: &'a [QReg], + ccb: &'a [QReg], + qq: &'a [QReg], + off: &'a QReg, + parity: &'a QReg, +) -> Option> { + if lowq_q944_residual_one_lane_cut_enabled() + && Q944_RESIDUAL_NON_HCLZ_ROWS.contains(&row) + { + return Some(Q945NarrowCarry::ResidualDirtyParity { + dirty_parity: parity, + row, + substep, + }); + } + if !Q945_NON_HCLZ_ROWS.contains(&row) || !lowq_q945_local_hosts_enabled() { + return None; + } + let dirty_parity = lowq_q945_dirty_parity_arithmetic_enabled().then_some(parity); + match q945_carry_route(row, substep) { + Q945CarryRoute::Borrow(host) => Some(Q945NarrowCarry::Borrow { + lane: q945_host_lane(host, aa, bb, cca, ccb, qq, off), + dirty_parity, + host, + row, + substep, + }), + Q945CarryRoute::Row364DivisionLower80 { carry, not_gate } => { + assert_eq!((row, substep), (364, Q945Substep::Division)); + Some(Q945NarrowCarry::Row364DivisionLower80 { + carry: q945_host_lane(carry, aa, bb, cca, ccb, qq, off), + not_gate: q945_host_lane(not_gate, aa, bb, cca, ccb, qq, off), + dirty_parity, + row, + substep, + }) + } + } +} + +fn q949_bracket_affine_count(c: &mut Circuit, ca: &[QReg]) { + assert!( + ca.len() >= Q949_AFFINE_COUNTER_WIDTH, + "Q949 affine counter carrier is narrower than one byte" + ); + for (bit, lane) in ca[..Q949_AFFINE_COUNTER_WIDTH].iter().enumerate() { + if (SECP256K1_P_LOW_BYTE >> bit) & 1 == 1 { + c.x(lane); + } + } +} + +/// Update C in the terminal encoding ca_low = 0x2f XOR C. The only persistent +/// state outside ca is `done`. The exact-trace proof establishes that a zero +/// logical C together with A=q=0 implies B=1 and the complete ca value p. +fn q949_affine_counter_update( + c: &mut Circuit, + aa: &[QReg], + qq: &[QReg], + ca: &[QReg], + done: &QReg, + candidates: &[&QReg], + inverse: bool, +) { + assert!(lowq_q949_affine_counter_enabled()); + let count: Vec<&QReg> = ca[..Q949_AFFINE_COUNTER_WIDTH].iter().collect(); + + if inverse { + q949_bracket_affine_count(c, ca); + dirty_controlled_inc_suffix(c, &[done], &count, 0, true, candidates); + q949_bracket_affine_count(c, ca); + } + + let previous = c.push_section("p.q949.affine-boundary"); + q949_bracket_affine_count(c, ca); + for lane in aa.iter().chain(qq).chain(ca[..Q949_AFFINE_COUNTER_WIDTH].iter()) { + c.x(lane); + } + let controls: Vec<&QReg> = aa + .iter() + .chain(qq) + .chain(ca[..Q949_AFFINE_COUNTER_WIDTH].iter()) + .collect(); + dirty_controlled_x(c, &controls, done, candidates, &[done]); + for lane in aa + .iter() + .chain(qq) + .chain(ca[..Q949_AFFINE_COUNTER_WIDTH].iter()) + .rev() + { + c.x(lane); + } + q949_bracket_affine_count(c, ca); + c.pop_section(&previous); + + if !inverse { + q949_bracket_affine_count(c, ca); + dirty_controlled_inc_suffix(c, &[done], &count, 0, false, candidates); + q949_bracket_affine_count(c, ca); + } +} + +fn q949_counter_export_core( + c: &mut Circuit, + ca: &[QReg], + done: &QReg, + saved: &[QReg], + candidates: &[&QReg], +) { + assert_eq!(saved.len(), Q949_AFFINE_COUNTER_WIDTH); + q949_bracket_affine_count(c, ca); + for i in 0..Q949_AFFINE_COUNTER_WIDTH { + c.cx(&ca[i], &saved[i]); + c.cx(&saved[i], &ca[i]); + } + q949_bracket_affine_count(c, ca); + toggle_nonzero_dirty(c, saved, done, candidates, &[done]); +} + +fn q949_counter_import_core( + c: &mut Circuit, + ca: &[QReg], + done: &QReg, + saved: &[QReg], + candidates: &[&QReg], +) { + assert_eq!(saved.len(), Q949_AFFINE_COUNTER_WIDTH); + toggle_nonzero_dirty(c, saved, done, candidates, &[done]); + q949_bracket_affine_count(c, ca); + for i in 0..Q949_AFFINE_COUNTER_WIDTH { + c.cx(&saved[i], &ca[i]); + c.cx(&ca[i], &saved[i]); + } + q949_bracket_affine_count(c, ca); +} + +/// Outside the EEA peak, export (E(C), done, S=0) to (p, 0, S=C). +fn q949_counter_export(c: &mut Circuit, ca: &[QReg], done: &QReg) -> Vec { + let saved = c.alloc_qreg_bits("q949.counter.saved", Q949_AFFINE_COUNTER_WIDTH); + let candidates: Vec<&QReg> = ca.iter().chain(saved.iter()).chain(std::iter::once(done)).collect(); + q949_counter_export_core(c, ca, done, &saved, &candidates); + saved +} + +/// Before reverse EEA, import (p, 0, S=C) to (E(C), done, S=0). +fn q949_counter_import(c: &mut Circuit, ca: &[QReg], done: &QReg, saved: &mut Vec) { + assert_eq!(saved.len(), Q949_AFFINE_COUNTER_WIDTH); + let candidates: Vec<&QReg> = ca.iter().chain(saved.iter()).chain(std::iter::once(done)).collect(); + q949_counter_import_core(c, ca, done, saved, &candidates); + for lane in std::mem::take(saved) { + c.zero_and_free(lane); + } +} + +/// Record a zero-operation liveness marker immediately before a row substep. +/// The marker is diagnostic metadata only: it neither changes the operation +/// stream nor assigns a Q-label to any measured peak. +fn hardened_peak_trace_marker(c: &mut Circuit, row: usize, inverse: bool, substep: &str) { + if std::env::var("TRACE_LOWQ_LIVENESS").ok().as_deref() != Some("1") { + return; + } + let direction = if inverse { "reverse" } else { "forward" }; + let passenger_enabled = passenger_top_lifetime_experiment_requested(); + let borrow_enabled = borrowed_transcript_experiment_requested(); + let [aa, bb, cca, ccb, qq, counter, s_rot] = c.lowq_trace_register_widths; + c.b.record_lowq_liveness_marker(format!( + concat!( + "direction={};row={};substep={};", + "passenger_enabled={};borrow_enabled={};", + "passenger_releases={};lambda_releases={};", + "aa={};bb={};cca={};ccb={};qq={};", + "counter={};s_rot={};division_borrow={};", + "multiply_borrow={};reverse_ca_enabled={};direct_hclz_guard={};", + "off_counter_alias={};second_ownership_release={};local_hosts={}" + ), + direction, + row, + substep, + passenger_enabled, + borrow_enabled, + c.lowq_passenger_top_releases, + c.lowq_lambda_top_releases, + aa, + bb, + cca, + ccb, + qq, + counter, + s_rot, + c.lowq_trace_division_borrow, + c.lowq_trace_multiply_borrow, + reverse_ca255_relational_loan_requested(), + c.lowq_q948_direct_hclz_peak_guard_active, + lowq_q956_off_borrow_enabled(), + q946_second_ownership_release_requested(), + q945_local_hosts_requested(), + )); +} + +/// One forward (inverse=false) or backward (inverse=true) `shrunken_pz` step on the +/// dynamic-W registers at their current width. Resize is done by the caller. +#[allow(clippy::too_many_arguments)] +pub(crate) fn shrunken_pz_pass_step( + c: &mut Circuit, + aa: &[QReg], + bb: &[QReg], + cca: &[QReg], + ccb: &[QReg], + qq: &[QReg], + counter: &[QReg], + parity: &QReg, + s_rot: &[QReg], + off: &QReg, + i: usize, + inverse: bool, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::shift_bounds; + fn rb(b: usize) -> usize { + if b == 0 { + 1 + } else { + 64 - (b as u64).leading_zeros() as usize + } + } + let [lo_a, lo_b, ca_window, cb_window, _] = trailmix_register_los_step(i); + let (sdb, s2b) = shift_bounds(i); + let ctz_bits = q954_ctz_width(i); + let q945_route = lowq_q945_local_hosts_enabled(); + let direct_hclz_binding = if q947_passenger_direct_hclz_requested() { + let q946_second_release_binding = q946_second_ownership_release_requested() + && Q946_SECOND_RELEASE_DIRECT_HCLZ_ROWS.contains(&i); + let q945_local_binding = q945_route && Q945_HCLZ_ROWS.contains(&i); + let q944_residual_binding = lowq_q944_residual_one_lane_cut_enabled() + && Q944_RESIDUAL_HCLZ_ROWS.contains(&i); + matches!(c.current_section.as_str(), "ec3.alt.cancel" | "ec3.inv_fwd") + && (Q947_DIRECT_HCLZ_BINDING_ROWS.contains(&i) + || q946_second_release_binding + || q945_local_binding + || q944_residual_binding) + } else { + inverse && Q948_DIRECT_HCLZ_BINDING_ROWS.contains(&i) + }; + c.lowq_q948_direct_hclz_peak_guard_active = lowq_q948_direct_hclz_peak_guard_enabled() + && direct_hclz_binding; + if lowq_q954_srot_counter7_enabled() { + assert_eq!(s_rot.len(), 4, "Q954 boundary must see four owned shift lanes"); + assert_eq!(counter.len(), 8, "Q954 boundary counter width"); + assert!( + s_rot.iter().all(|lane| !std::ptr::eq(lane, &counter[7])), + "Q954 boundary received the arithmetic-only counter[7] alias" + ); + assert_eq!( + ctz_bits, + if i <= Q954_LAST_CTZ_BIT4_ROW { 5 } else { 4 }, + "Q954 CTZ bit4 cutoff drift" + ); + } + if lowq_q956_off_borrow_enabled() { + assert_q956_off_alias(off, counter, s_rot); + assert!(!std::ptr::eq(off, parity), "Q956 off aliases parity"); + assert!( + aa.iter() + .chain(bb.iter()) + .chain(cca.iter()) + .chain(ccb.iter()) + .chain(qq.iter()) + .all(|lane| !std::ptr::eq(off, lane)), + "Q956 off alias overlaps a dynamic state register" + ); + } + // Swap, gated g_swap=(q==0 & A!=0 & active). HOLD the (q==0)/(A!=0) flags + // across the cswaps so or_nonzero(A)/or_is_zero(q) run 2x not 4x per step + // (the swap preserves both predicates: q untouched, A_new=B_old!=0). + let swap = |c: &mut Circuit, active: &QReg| { + let qz = c.alloc_qreg("sw.qz"); + let anz = c.alloc_qreg("sw.anz"); + or_is_zero(c, qq, &qz); + or_nonzero(c, aa, &anz); + let t = c.alloc_qreg("sw.t"); + let g = c.alloc_qreg("g_swap"); + c.ccx(&qz, &anz, &t); // t = (q==0 & A!=0) + c.ccx(&t, active, &g); // g_swap = t AND active + for j in 0..aa.len() { + c.cswap(&g, &aa[j], &bb[j]); + } + for j in 0..cca.len() { + c.cswap(&g, &cca[j], &ccb[j]); + } + c.cx(&g, parity); + c.ccx(&t, active, &g); // uncompute g (t,active preserved) + c.ccx(&qz, &anz, &t); // uncompute t (qz held; anz=A_old!=0) + c.zero_and_free(g); + c.zero_and_free(t); + or_nonzero(c, aa, &anz); // post-swap A=B_old!=0 -> clears anz + or_is_zero(c, qq, &qz); + c.zero_and_free(anz); + c.zero_and_free(qz); + }; + + let boundary_candidates: Vec<&QReg> = aa + .iter() + .chain(bb.iter()) + .chain(cca.iter()) + .chain(ccb.iter()) + .chain(qq.iter()) + .chain(counter.iter()) + .chain(s_rot.iter()) + .chain(std::iter::once(parity)) + .chain(std::iter::once(off)) + .collect(); + + let update_terminal_counter = |c: &mut Circuit, inverse: bool| { + if lowq_q949_affine_counter_enabled() { + assert_eq!(counter.len(), 1, "Q949 owns one done lane"); + if i >= Q949_FIRST_TERMINAL_ROW { + q949_affine_counter_update( + c, + aa, + qq, + cca, + &counter[0], + &boundary_candidates, + inverse, + ); + } + } else { + done_counter_fn( + c, + aa, + qq, + counter, + s_rot, + off, + &boundary_candidates, + inverse, + ); + } + }; + let reverse_relational_division = inverse + && i == BORROWED_ROW_380 + && lowq_reverse_ca255_relational_loan_enabled(); + let division_transcript_loans = q945_local_hclz_loans( + i, + inverse, + BorrowedTranscriptSubstep::Division, + aa, + bb, + cca, + ccb, + qq, + counter, + off, + ) + .unwrap_or_else(|| { + if reverse_relational_division { + BorrowedTranscriptLoans::none() + } else { + BorrowedTranscriptLoans::shared(borrowed_transcript_loan( + i, + inverse, + BorrowedTranscriptSubstep::Division, + aa, + cca, + ccb, + counter, + None, + )) + } + }); + let multiply_transcript_loans = q945_local_hclz_loans( + i, + inverse, + BorrowedTranscriptSubstep::Multiply, + aa, + bb, + cca, + ccb, + qq, + counter, + off, + ) + .unwrap_or_else(|| { + BorrowedTranscriptLoans::shared(borrowed_transcript_loan( + i, + inverse, + BorrowedTranscriptSubstep::Multiply, + aa, + cca, + ccb, + counter, + None, + )) + }); + let division_q945_carry = q945_narrow_carry( + i, + Q945Substep::Division, + aa, + bb, + cca, + ccb, + qq, + off, + parity, + ); + let multiply_q945_carry = q945_narrow_carry( + i, + Q945Substep::Multiply, + aa, + bb, + cca, + ccb, + qq, + off, + parity, + ); + c.lowq_trace_register_widths = [ + aa.len(), + bb.len(), + cca.len(), + ccb.len(), + qq.len(), + counter.len(), + s_rot.len(), + ]; + c.lowq_trace_division_borrow = division_transcript_loans.update.is_some() + || division_transcript_loans.parity.is_some() + || reverse_relational_division; + c.lowq_trace_multiply_borrow = multiply_transcript_loans.update.is_some() + || multiply_transcript_loans.parity.is_some(); + + if lowq_q959_selective_borrow_enabled() { + if inverse { + hardened_peak_trace_marker(c, i, true, "terminal"); + update_terminal_counter(c, true); + hardened_peak_trace_marker(c, i, true, "swap"); + borrowed_swap_in_place(c, aa, bb, cca, ccb, qq, counter, parity, s_rot, off); + + hardened_peak_trace_marker(c, i, true, "division"); + let q944_full = lowq_q944_full_structural_enabled() + && Q945_NON_HCLZ_ROWS.contains(&i); + let division_mode = if q944_full + && q944_full_gate_route(i, Q945Substep::Division) + == Q944FullGateRoute::QuotientWitness + { + Q944DivisionQuotientMode::QuotientWitness + } else { + Q944DivisionQuotientMode::Baseline + }; + let division_body = |c: &mut Circuit, g: &QReg| { + let relation_loan = reverse_relational_division + .then(|| { + borrowed_transcript_loan( + i, + true, + BorrowedTranscriptSubstep::Division, + aa, + cca, + ccb, + counter, + Some(g), + ) + }) + .flatten(); + let transcript_loans = relation_loan + .map(|loan| BorrowedTranscriptLoans::shared(Some(loan))) + .unwrap_or(division_transcript_loans); + let lenders: Vec<&QReg> = cca.iter().chain(ccb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + division_substep_windowed_inv_mode( + c, + aa, + bb, + qq, + s_rot_arith, + off, + g, + &lenders, + lo_a, + lo_b, + rb(sdb), + ctz_bits, + transcript_loans, + division_q945_carry, + division_mode, + ); + }); + }; + if q944_full { + q944_run_full_gate( + c, + i, + Q945Substep::Division, + true, + cca, + ccb, + aa, + bb, + cca, + ccb, + qq, + counter, + parity, + s_rot, + off, + &boundary_candidates, + division_body, + ); + } else { + let g_div = c.alloc_qreg("g_div"); + gate_hold_counter_zero( + c, + cca, + ccb, + counter, + parity, + s_rot, + &g_div, + &boundary_candidates, + division_body, + ); + c.zero_and_free(g_div); + } + + hardened_peak_trace_marker(c, i, true, "multiply"); + let multiply_body = |c: &mut Circuit, g: &QReg| { + let lenders: Vec<&QReg> = aa.iter().chain(bb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + multiply_substep_windowed_inv( + c, + cca, + ccb, + qq, + s_rot_arith, + off, + g, + &lenders, + ca_window, + cb_window, + rb(s2b), + ctz_bits, + multiply_transcript_loans, + multiply_q945_carry, + ); + }); + }; + if q944_full { + q944_run_full_gate( + c, + i, + Q945Substep::Multiply, + true, + aa, + bb, + aa, + bb, + cca, + ccb, + qq, + counter, + parity, + s_rot, + off, + &boundary_candidates, + multiply_body, + ); + } else { + let g_mul = c.alloc_qreg("g_mul"); + gate_hold_counter_zero( + c, + aa, + bb, + counter, + parity, + s_rot, + &g_mul, + &boundary_candidates, + multiply_body, + ); + c.zero_and_free(g_mul); + } + } else { + hardened_peak_trace_marker(c, i, false, "multiply"); + let q944_full = lowq_q944_full_structural_enabled() + && Q945_NON_HCLZ_ROWS.contains(&i); + let multiply_body = |c: &mut Circuit, g: &QReg| { + let lenders: Vec<&QReg> = aa.iter().chain(bb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + multiply_substep_windowed( + c, + cca, + ccb, + qq, + s_rot_arith, + off, + g, + &lenders, + ca_window, + cb_window, + rb(s2b), + ctz_bits, + multiply_transcript_loans, + multiply_q945_carry, + ); + }); + }; + if q944_full { + q944_run_full_gate( + c, + i, + Q945Substep::Multiply, + false, + aa, + bb, + aa, + bb, + cca, + ccb, + qq, + counter, + parity, + s_rot, + off, + &boundary_candidates, + multiply_body, + ); + } else { + let g_mul = c.alloc_qreg("g_mul"); + gate_hold_counter_zero( + c, + aa, + bb, + counter, + parity, + s_rot, + &g_mul, + &boundary_candidates, + multiply_body, + ); + c.zero_and_free(g_mul); + } + + hardened_peak_trace_marker(c, i, false, "division"); + let division_mode = if q944_full + && q944_full_gate_route(i, Q945Substep::Division) + == Q944FullGateRoute::QuotientWitness + { + Q944DivisionQuotientMode::QuotientWitness + } else { + Q944DivisionQuotientMode::Baseline + }; + let division_body = |c: &mut Circuit, g: &QReg| { + let lenders: Vec<&QReg> = cca.iter().chain(ccb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + division_substep_windowed_mode( + c, + aa, + bb, + qq, + s_rot_arith, + off, + g, + &lenders, + lo_a, + lo_b, + rb(sdb), + ctz_bits, + division_transcript_loans, + division_q945_carry, + division_mode, + ); + }); + }; + if q944_full { + q944_run_full_gate( + c, + i, + Q945Substep::Division, + false, + cca, + ccb, + aa, + bb, + cca, + ccb, + qq, + counter, + parity, + s_rot, + off, + &boundary_candidates, + division_body, + ); + } else { + let g_div = c.alloc_qreg("g_div"); + gate_hold_counter_zero( + c, + cca, + ccb, + counter, + parity, + s_rot, + &g_div, + &boundary_candidates, + division_body, + ); + c.zero_and_free(g_div); + } + + hardened_peak_trace_marker(c, i, false, "swap"); + borrowed_swap_in_place(c, aa, bb, cca, ccb, qq, counter, parity, s_rot, off); + hardened_peak_trace_marker(c, i, false, "terminal"); + update_terminal_counter(c, false); + } + c.lowq_q948_direct_hclz_peak_guard_active = false; + return; + } + + if inverse { + hardened_peak_trace_marker(c, i, true, "terminal"); + update_terminal_counter(c, true); + let active = compute_active(c, counter, &boundary_candidates); + hardened_peak_trace_marker(c, i, true, "swap"); + swap(c, &active); // self-inverse + hardened_peak_trace_marker(c, i, true, "division"); + let g_div = c.alloc_qreg("g_div"); + gate_hold( + c, + cca, + ccb, + &active, + &g_div, + lowq_q959_selective_borrow_enabled().then_some(&s_rot[0]), + |c, g| { + let relation_loan = reverse_relational_division + .then(|| { + borrowed_transcript_loan( + i, + true, + BorrowedTranscriptSubstep::Division, + aa, + cca, + ccb, + counter, + Some(g), + ) + }) + .flatten(); + let transcript_loans = relation_loan + .map(|loan| BorrowedTranscriptLoans::shared(Some(loan))) + .unwrap_or(division_transcript_loans); + let lenders: Vec<&QReg> = cca.iter().chain(ccb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + division_substep_windowed_inv( + c, aa, bb, qq, s_rot_arith, off, g, &lenders, lo_a, lo_b, rb(sdb), + ctz_bits, transcript_loans, division_q945_carry, + ); + }); + }, + ); + c.zero_and_free(g_div); + hardened_peak_trace_marker(c, i, true, "multiply"); + let g_mul = c.alloc_qreg("g_mul"); + gate_hold( + c, + aa, + bb, + &active, + &g_mul, + lowq_q959_selective_borrow_enabled().then_some(&s_rot[0]), + |c, g| { + let lenders: Vec<&QReg> = aa.iter().chain(bb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + multiply_substep_windowed_inv( + c, + cca, + ccb, + qq, + s_rot_arith, + off, + g, + &lenders, + ca_window, + cb_window, + rb(s2b), + ctz_bits, + multiply_transcript_loans, + multiply_q945_carry, + ); + }); + }, + ); + c.zero_and_free(g_mul); + uncompute_active(c, counter, &active, &boundary_candidates); + c.zero_and_free(active); + } else { + let active = compute_active(c, counter, &boundary_candidates); + hardened_peak_trace_marker(c, i, false, "multiply"); + let g_mul = c.alloc_qreg("g_mul"); + gate_hold( + c, + aa, + bb, + &active, + &g_mul, + lowq_q959_selective_borrow_enabled().then_some(&s_rot[0]), + |c, g| { + let lenders: Vec<&QReg> = aa.iter().chain(bb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + multiply_substep_windowed( + c, + cca, + ccb, + qq, + s_rot_arith, + off, + g, + &lenders, + ca_window, + cb_window, + rb(s2b), + ctz_bits, + multiply_transcript_loans, + multiply_q945_carry, + ); + }); + }, + ); + c.zero_and_free(g_mul); + hardened_peak_trace_marker(c, i, false, "division"); + let g_div = c.alloc_qreg("g_div"); + gate_hold( + c, + cca, + ccb, + &active, + &g_div, + lowq_q959_selective_borrow_enabled().then_some(&s_rot[0]), + |c, g| { + let lenders: Vec<&QReg> = cca.iter().chain(ccb.iter()).collect(); + with_arithmetic_srot_view(s_rot, counter, |s_rot_arith| { + division_substep_windowed( + c, aa, bb, qq, s_rot_arith, off, g, &lenders, lo_a, lo_b, rb(sdb), + ctz_bits, division_transcript_loans, division_q945_carry, + ); + }); + }, + ); + c.zero_and_free(g_div); + hardened_peak_trace_marker(c, i, false, "swap"); + swap(c, &active); + uncompute_active(c, counter, &active, &boundary_candidates); + c.zero_and_free(active); + hardened_peak_trace_marker(c, i, false, "terminal"); + update_terminal_counter(c, false); + } + c.lowq_q948_direct_hclz_peak_guard_active = false; +} + +/// Resize a dynamic-W register to `target` bits: free high qubits (must be |0>) +/// or alloc fresh |0> ones, in place. +pub(crate) fn shrunken_pz_resize(c: &mut Circuit, reg: &mut Vec, target: usize, name: &str) { + while reg.len() > target { + let q = reg.pop().unwrap(); + c.zero_and_free(q); + } + while reg.len() < target { + let k = reg.len(); + reg.push(c.alloc_qreg(&format!("{name}[{k}]"))); + } +} + +/// Drop the proven-clean top lane of the canonical persistent slope while the +/// backward EEA owns the peak. The canonical multiplier and field negation +/// guarantee the precondition `lambda[256] = |0>`. +pub(super) fn release_q955_canonical_lambda_top(c: &mut Circuit, lambda: &mut Vec) { + assert_eq!( + lambda.len(), + 257, + "Q955 canonical lambda must enter the reverse EEA with 257 lanes" + ); + let active_before = c.b.active_qubits; + let top = lambda.pop().expect("Q955 canonical lambda top lane"); + c.zero_and_free(top); + assert_eq!(lambda.len(), 256, "Q955 reverse EEA keeps 256 lambda lanes"); + assert_eq!( + c.b.active_qubits + 1, + active_before, + "Q955 canonical lambda release must save exactly one live qubit" + ); + c.lowq_lambda_top_releases += 1; +} + +/// Restore the public 257-bit slope shape with a newly allocated clean lane. +pub(super) fn restore_q955_canonical_lambda_top(c: &mut Circuit, lambda: &mut Vec) { + assert_eq!( + lambda.len(), + 256, + "Q955 canonical lambda must leave the reverse EEA with 256 lanes" + ); + let active_before = c.b.active_qubits; + lambda.push(c.alloc_qreg("shpzdiv.lambda[256].restored")); + assert_eq!(lambda.len(), 257, "Q955 lambda API requires 257 lanes"); + assert_eq!( + c.b.active_qubits, + active_before + 1, + "Q955 lambda top restoration must allocate exactly one clean qubit" + ); + assert!(c.lowq_lambda_top_releases > 0, "lambda release state underflow"); + c.lowq_lambda_top_releases -= 1; +} + +fn canonical_passenger_top_lifetime_enabled() -> bool { + let q954 = lowq_q954_srot_counter7_enabled(); + let passenger_lifetime = lowq_passenger_top_lifetime_experiment_enabled(); + assert!( + !(q954 && passenger_lifetime), + "alternate srot and passenger-lifetime routes are exclusive" + ); + q954 || passenger_lifetime || super::paper2607_eea::enabled() +} + +/// Owns a canonical passenger lane while its physical qubit is inactive. The +/// lane ID is removed from the allocator free list, so no temporary can reuse it +/// before the matching restore explicitly reacquires that exact ID. +pub(super) struct ReleasedCanonicalPassengerTop { + lane: Option, + physical_id: u32, +} + +impl ReleasedCanonicalPassengerTop { + fn physical_id(&self) -> u32 { + self.physical_id + } +} + +impl Drop for ReleasedCanonicalPassengerTop { + fn drop(&mut self) { + assert!( + self.lane.is_none() || std::thread::panicking(), + "canonical passenger top dropped without symmetric restore" + ); + } +} + +/// Remove a canonical field passenger's proven-zero 257th lane while an EEA +/// traversal owns the peak. One reset records the clean release; the physical ID +/// remains reserved until the symmetric restore. +pub(super) fn release_canonical_passenger_top( + c: &mut Circuit, + passenger: &mut Vec, + context: &str, +) -> ReleasedCanonicalPassengerTop { + use crate::circuit::{OperationType, QubitId}; + + assert!(canonical_passenger_top_lifetime_enabled()); + assert_eq!( + passenger.len(), + 257, + "{context} canonical passenger must enter EEA with 257 lanes" + ); + let live_before = c.b.active_qubits as usize; + c.flush_pending_frees(); + let top = passenger.pop().expect("canonical passenger top lane"); + let physical_id = top.id(); + let resets_before = c.b.counted_kind_ops[OperationType::R as usize]; + c.b.free(QubitId(physical_id.into())); + assert_eq!( + c.b.counted_kind_ops[OperationType::R as usize], + resets_before + 1, + "{context} canonical passenger release must emit one reset" + ); + let free_position = c + .b + .free_qubits + .iter() + .position(|&id| id == physical_id) + .expect("released canonical passenger ID missing from free list"); + c.b.free_qubits.swap_remove(free_position); + assert!( + !c.b.free_qubits.contains(&physical_id), + "{context} canonical passenger ID was not reserved" + ); + assert_eq!(passenger.len(), 256, "{context} canonical passenger width"); + assert_eq!( + c.b.active_qubits as usize + 1, + live_before, + "{context} canonical passenger release must save one live qubit" + ); + c.lowq_passenger_top_releases += 1; + ReleasedCanonicalPassengerTop { + lane: Some(top), + physical_id, + } +} + +pub(super) fn restore_canonical_passenger_top( + c: &mut Circuit, + passenger: &mut Vec, + mut released: ReleasedCanonicalPassengerTop, + context: &str, +) { + use crate::circuit::QubitId; + + assert!(canonical_passenger_top_lifetime_enabled()); + assert_eq!( + passenger.len(), + 256, + "{context} canonical passenger must leave EEA with 256 lanes" + ); + let live_before = c.b.active_qubits as usize; + let physical_id = released.physical_id; + assert!( + !c.b.free_qubits.contains(&physical_id), + "{context} reserved passenger ID became allocator-visible" + ); + c.b.free_qubits.push(physical_id); + c.b.reacquire(QubitId(physical_id.into())); + let lane = released + .lane + .take() + .expect("canonical passenger top restored twice"); + assert_eq!( + lane.id(), + physical_id, + "{context} restored a different physical passenger lane" + ); + passenger.push(lane); + assert_eq!(passenger.len(), 257, "canonical passenger API requires 257 lanes"); + assert_eq!( + passenger[256].id(), + physical_id, + "{context} passenger top physical identity changed" + ); + assert_eq!( + c.b.active_qubits as usize, + live_before + 1, + "{context} passenger top restoration must reacquire one clean qubit" + ); + assert!( + c.lowq_passenger_top_releases > 0, + "passenger release state underflow" + ); + c.lowq_passenger_top_releases -= 1; +} + +fn shrunken_pz_shrink(c: &mut Circuit, reg: &mut Vec, target: usize) { + while reg.len() > target { + let q = reg.pop().unwrap(); + c.zero_and_free(q); + } +} + +#[allow(clippy::too_many_arguments)] +fn shrunken_pz_rebalance_pack( + c: &mut Circuit, + aa: &mut Vec, + bb: &mut Vec, + cca: &mut Vec, + ccb: &mut Vec, + qq: &mut Vec, + widths: [usize; 5], + names: [&str; 5], +) { + // Releasing every high lane first makes the transition peak equal to one + // of its endpoint packs, never their component-wise union. + let source_sum = aa.len() + bb.len() + cca.len() + ccb.len() + qq.len(); + let target_sum = widths.iter().sum::(); + let active_before = c.b.active_qubits as usize; + assert!(active_before >= source_sum); + let fixed_qubits = active_before - source_sum; + let transition_peak_bound = fixed_qubits + source_sum.max(target_sum); + shrunken_pz_shrink(c, aa, widths[0]); + shrunken_pz_shrink(c, bb, widths[1]); + shrunken_pz_shrink(c, cca, widths[2]); + shrunken_pz_shrink(c, ccb, widths[3]); + shrunken_pz_shrink(c, qq, widths[4]); + assert!(c.b.active_qubits as usize <= transition_peak_bound); + shrunken_pz_resize(c, aa, widths[0], names[0]); + shrunken_pz_resize(c, bb, widths[1], names[1]); + shrunken_pz_resize(c, cca, widths[2], names[2]); + shrunken_pz_resize(c, ccb, widths[3], names[3]); + shrunken_pz_resize(c, qq, widths[4], names[4]); + assert!(c.b.active_qubits as usize <= transition_peak_bound); + assert_eq!( + [aa.len(), bb.len(), cca.len(), ccb.len(), qq.len()], + widths + ); + assert_eq!(c.b.active_qubits as usize, fixed_qubits + target_sum); +} + +/// FORWARD `shrunken_pz` inversion driver. PRE: the registers hold the `S_0` state at width +/// `reg_widths(0)` -- A=p, B=|x| (sign-adjusted, < p/2), ca=0, cb=1, q=0, +/// counter=0, parity=1. Runs all `SHRUNKEN_PZ_NSTEPS` forward steps (resizing per step), +/// leaving the modular inverse of |x| in `ccb` (up to the `parity` bit: the true +/// value is `parity ? cb : p-cb`), with A=p, B=|x| at the EEA terminal. `s`, +/// `s_rot` (9 bits each), `off`, `parity`, `counter` (10 bits) are fixed-width. +#[allow(clippy::too_many_arguments)] +pub(crate) fn shrunken_pz_invert_forward( + c: &mut Circuit, + aa: &mut Vec, + bb: &mut Vec, + cca: &mut Vec, + ccb: &mut Vec, + qq: &mut Vec, + counter: &[QReg], + parity: &QReg, + s_rot: &[QReg], + off: &QReg, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS; + for i in 0..SHRUNKEN_PZ_NSTEPS { + hardened_peak_trace_marker(c, i, false, "resize"); + let widths = trailmix_register_widths_step(i); + shrunken_pz_rebalance_pack( + c, + aa, + bb, + cca, + ccb, + qq, + widths, + ["A", "B", "ca", "cb", "q"], + ); + shrunken_pz_pass_step( + c, aa, bb, cca, ccb, qq, counter, parity, s_rot, off, i, false, + ); + } +} + +/// BACKWARD `shrunken_pz` inversion driver (gate-for-gate inverse of `shrunken_pz_invert_forward`). +/// Restores the `S_0` state (A=p, B=|x|, ca=0, cb=1, q=0, counter=0, parity=1) and +/// uncomputes the inverse from `ccb`. Resizes back down per step. +#[allow(clippy::too_many_arguments)] +pub(crate) fn shrunken_pz_invert_backward( + c: &mut Circuit, + aa: &mut Vec, + bb: &mut Vec, + cca: &mut Vec, + ccb: &mut Vec, + qq: &mut Vec, + counter: &[QReg], + parity: &QReg, + s_rot: &[QReg], + off: &QReg, +) { + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS; + for i in (0..SHRUNKEN_PZ_NSTEPS).rev() { + shrunken_pz_pass_step( + c, aa, bb, cca, ccb, qq, counter, parity, s_rot, off, i, true, + ); + if i > 0 { + hardened_peak_trace_marker(c, i - 1, true, "resize"); + let widths = trailmix_register_widths_step(i - 1); + shrunken_pz_rebalance_pack( + c, + aa, + bb, + cca, + ccb, + qq, + widths, + ["A", "B", "ca", "cb", "q"], + ); + } + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949Row370CleanupReport { + pub first_row: usize, + pub last_row: usize, + pub forward_rows_checked: usize, + pub reverse_rows_checked: usize, + pub resize_boundaries_checked: usize, + pub gate_allocation_cleanup_checks: usize, + pub row_370_pack: [usize; 5], + pub initial_active_qubits: usize, + pub final_active_qubits: usize, + pub peak_active_qubits: usize, + pub emitted_ops: usize, +} + +/// Build the exact production gates around the repaired row and its adjacent +/// resize boundaries. This is a structural cleanup check: every forward and +/// reverse step must return its temporary allocations, and the reverse resize +/// sequence must restore the row-369 interface width exactly. +#[doc(hidden)] +pub fn q949_row_369_371_resize_gate_cleanup_check() -> Q949Row370CleanupReport { + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::{ + Q949_REPAIRED_ROW, Q949_ROW_370_EFFECTIVE_PACK, + }; + + const FIRST_ROW: usize = Q949_REPAIRED_ROW - 1; + const LAST_ROW: usize = Q949_REPAIRED_ROW + 1; + + fn resize_registers( + c: &mut Circuit, + aa: &mut Vec, + bb: &mut Vec, + cca: &mut Vec, + ccb: &mut Vec, + qq: &mut Vec, + widths: [usize; 5], + ) { + shrunken_pz_shrink(c, aa, widths[0]); + shrunken_pz_shrink(c, bb, widths[1]); + shrunken_pz_shrink(c, cca, widths[2]); + shrunken_pz_shrink(c, ccb, widths[3]); + shrunken_pz_shrink(c, qq, widths[4]); + shrunken_pz_resize(c, aa, widths[0], "q949-row-check.A"); + shrunken_pz_resize(c, bb, widths[1], "q949-row-check.B"); + shrunken_pz_resize(c, cca, widths[2], "q949-row-check.ca"); + shrunken_pz_resize(c, ccb, widths[3], "q949-row-check.cb"); + shrunken_pz_resize(c, qq, widths[4], "q949-row-check.q"); + assert_eq!( + [aa.len(), bb.len(), cca.len(), ccb.len(), qq.len()], + widths + ); + } + + assert!(lowq_q949_affine_counter_enabled()); + let initial_pack = trailmix_register_widths_step(FIRST_ROW); + assert_eq!( + trailmix_register_widths_step(Q949_REPAIRED_ROW), + Q949_ROW_370_EFFECTIVE_PACK + ); + + let mut c = Circuit::new(); + let mut aa = c.alloc_qreg_bits("q949-row-check.A", initial_pack[0]); + let mut bb = c.alloc_qreg_bits("q949-row-check.B", initial_pack[1]); + let mut cca = c.alloc_qreg_bits("q949-row-check.ca", initial_pack[2]); + let mut ccb = c.alloc_qreg_bits("q949-row-check.cb", initial_pack[3]); + let mut qq = c.alloc_qreg_bits("q949-row-check.q", initial_pack[4]); + let counter = c.alloc_qreg_bits("q949-row-check.done", 1); + let parity = c.alloc_qreg("q949-row-check.parity"); + let s_rot = c.alloc_qreg_bits("q949-row-check.s-rot", 5); + let off = c.alloc_qreg("q949-row-check.off"); + let initial_active_qubits = c.b.active_qubits as usize; + assert_eq!( + initial_active_qubits, + initial_pack.iter().sum::() + counter.len() + s_rot.len() + 2 + ); + + let mut resize_boundaries_checked = 0usize; + let mut gate_allocation_cleanup_checks = 0usize; + for row in FIRST_ROW..=LAST_ROW { + let widths = trailmix_register_widths_step(row); + resize_registers( + &mut c, &mut aa, &mut bb, &mut cca, &mut ccb, &mut qq, widths, + ); + c.flush_pending_frees(); + assert_eq!( + c.b.active_qubits as usize, + widths.iter().sum::() + counter.len() + s_rot.len() + 2 + ); + resize_boundaries_checked += 1; + + let active_before = c.b.active_qubits; + shrunken_pz_pass_step( + &mut c, &aa, &bb, &cca, &ccb, &qq, &counter, &parity, &s_rot, &off, + row, false, + ); + c.flush_pending_frees(); + assert_eq!( + c.b.active_qubits, active_before, + "Q949 forward row {row} leaked a gate allocation" + ); + gate_allocation_cleanup_checks += 1; + } + + for row in (FIRST_ROW..=LAST_ROW).rev() { + let active_before = c.b.active_qubits; + shrunken_pz_pass_step( + &mut c, &aa, &bb, &cca, &ccb, &qq, &counter, &parity, &s_rot, &off, + row, true, + ); + c.flush_pending_frees(); + assert_eq!( + c.b.active_qubits, active_before, + "Q949 reverse row {row} leaked a gate allocation" + ); + gate_allocation_cleanup_checks += 1; + + if row > FIRST_ROW { + let widths = trailmix_register_widths_step(row - 1); + resize_registers( + &mut c, &mut aa, &mut bb, &mut cca, &mut ccb, &mut qq, widths, + ); + c.flush_pending_frees(); + assert_eq!( + c.b.active_qubits as usize, + widths.iter().sum::() + counter.len() + s_rot.len() + 2 + ); + resize_boundaries_checked += 1; + } + } + + assert_eq!( + [aa.len(), bb.len(), cca.len(), ccb.len(), qq.len()], + initial_pack + ); + let final_active_qubits = c.b.active_qubits as usize; + assert_eq!(final_active_qubits, initial_active_qubits); + let builder = c.into_builder(); + + Q949Row370CleanupReport { + first_row: FIRST_ROW, + last_row: LAST_ROW, + forward_rows_checked: LAST_ROW - FIRST_ROW + 1, + reverse_rows_checked: LAST_ROW - FIRST_ROW + 1, + resize_boundaries_checked, + gate_allocation_cleanup_checks, + row_370_pack: Q949_ROW_370_EFFECTIVE_PACK, + initial_active_qubits, + final_active_qubits, + peak_active_qubits: builder.peak_qubits as usize, + emitted_ops: builder.ops.len(), + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949RobustResizeOrderingReport { + pub rows_checked: usize, + pub forward_transitions_checked: usize, + pub reverse_transitions_checked: usize, + pub peak_neutral_transitions_checked: usize, + pub maximum_row_sum: usize, + pub observed_peak_qubits: usize, + pub final_active_qubits: usize, +} + +/// Replay every adjacent schedule transition through the same shrink-before-grow +/// helper used by the production forward and reverse drivers. Registers remain +/// clean throughout this resize-only proof, so the observed allocator peak binds +/// the transition ordering without constructing the full arithmetic circuit. +#[doc(hidden)] +pub fn q949_robust_resize_ordering_check() -> Q949RobustResizeOrderingReport { + use super::q949_robust_envelope::{Q949_ROBUST_ROWS, Q949_ROBUST_TARGET_SUM}; + + assert!(lowq_q949_affine_counter_enabled()); + assert!(q949_robust_symmetric_schedule_requested()); + assert_eq!( + Q949_ROBUST_ROWS, + crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS + ); + + let initial = trailmix_register_widths_step(0); + let mut c = Circuit::new(); + let mut aa = c.alloc_qreg_bits("q949-robust-resize.A", initial[0]); + let mut bb = c.alloc_qreg_bits("q949-robust-resize.B", initial[1]); + let mut cca = c.alloc_qreg_bits("q949-robust-resize.ca", initial[2]); + let mut ccb = c.alloc_qreg_bits("q949-robust-resize.cb", initial[3]); + let mut qq = c.alloc_qreg_bits("q949-robust-resize.q", initial[4]); + assert_eq!(c.b.active_qubits as usize, initial.iter().sum::()); + + let mut maximum_row_sum = initial.iter().sum::(); + let mut forward_transitions_checked = 0usize; + for row in 1..Q949_ROBUST_ROWS { + let widths = trailmix_register_widths_step(row); + maximum_row_sum = maximum_row_sum.max(widths.iter().sum::()); + shrunken_pz_rebalance_pack( + &mut c, + &mut aa, + &mut bb, + &mut cca, + &mut ccb, + &mut qq, + widths, + [ + "q949-robust-resize.A", + "q949-robust-resize.B", + "q949-robust-resize.ca", + "q949-robust-resize.cb", + "q949-robust-resize.q", + ], + ); + assert_eq!(c.b.active_qubits as usize, widths.iter().sum::()); + forward_transitions_checked += 1; + } + + let mut reverse_transitions_checked = 0usize; + for row in (0..Q949_ROBUST_ROWS - 1).rev() { + let widths = trailmix_register_widths_step(row); + shrunken_pz_rebalance_pack( + &mut c, + &mut aa, + &mut bb, + &mut cca, + &mut ccb, + &mut qq, + widths, + [ + "q949-robust-resize.A", + "q949-robust-resize.B", + "q949-robust-resize.ca", + "q949-robust-resize.cb", + "q949-robust-resize.q", + ], + ); + assert_eq!(c.b.active_qubits as usize, widths.iter().sum::()); + reverse_transitions_checked += 1; + } + assert_eq!([aa.len(), bb.len(), cca.len(), ccb.len(), qq.len()], initial); + assert!(maximum_row_sum <= Q949_ROBUST_TARGET_SUM); + assert_eq!(forward_transitions_checked, Q949_ROBUST_ROWS - 1); + assert_eq!(reverse_transitions_checked, Q949_ROBUST_ROWS - 1); + + for lane in aa.into_iter().chain(bb).chain(cca).chain(ccb).chain(qq) { + c.zero_and_free(lane); + } + c.flush_pending_frees(); + let final_active_qubits = c.b.active_qubits as usize; + assert_eq!(final_active_qubits, 0, "Q949 robust resize proof leaked ancillae"); + let builder = c.into_builder(); + let observed_peak_qubits = builder.peak_qubits as usize; + assert_eq!( + observed_peak_qubits, maximum_row_sum, + "Q949 robust transition exceeded an endpoint pack" + ); + + Q949RobustResizeOrderingReport { + rows_checked: Q949_ROBUST_ROWS, + forward_transitions_checked, + reverse_transitions_checked, + peak_neutral_transitions_checked: forward_transitions_checked + + reverse_transitions_checked, + maximum_row_sum, + observed_peak_qubits, + final_active_qubits, + } +} + +/// `lambda = dy / dx mod p`, with `dx` and `dy` PRESERVED. `dx`, `dy` are 257-bit +/// registers holding field elements in [0, p). Returns `(dx, dy, lambda)` -- dx +/// and dy unchanged (dy reconstructed via the HMR-ghost trick), lambda = dy·dx^-1. +/// With `LOWQ_Q955_OFF_CANONICAL=1`, lambda is produced by the exact canonical +/// multiplier and its clean top lane is absent during reverse EEA. The API still +/// returns 257 lanes by appending a new clean top lane afterward. +/// With Q954 or the structural-only `LOWQ_PASSENGER_TOP_LIFETIME_EXPERIMENT=1`, +/// canonical dy[256] is likewise absent during the initial forward EEA and is +/// restored with the same physical ID after the constant pack is removed. +pub fn shrunken_pz_divide_forward( + c: &mut Circuit, + mut dx: Vec, + mut dy: Vec, +) -> (Vec, Vec, Vec) { + use crate::point_add::trailmix_port::arith::compare::compare_geq_const; + use crate::point_add::trailmix_port::arith::rfold_mbu::{ + mod_mul_canonical_mbu, mod_mul_rfold_mbu, + }; + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::reg_widths; + use crate::point_add::trailmix_port::num_bigint::BigUint; + assert_eq!(dx.len(), 257); + assert_eq!(dy.len(), 257); + let canonical_lambda_top_off = lowq_q955_off_canonical_enabled(); + let released_dy_top = canonical_passenger_top_lifetime_enabled() + .then(|| release_canonical_passenger_top(c, &mut dy, "divide-forward dy")); + // sgn = dx > p/2 <=> dx >= (p+1)/2. + let half_bytes = vec![ + 0x18, 0xfe, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, + ]; + let p_bytes = crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE; + + // --- sign-adjust dx -> |dx| < p/2 (the schedule assumes |x| < p/2) --- + let reuse_sign_wire = sign_parity_q_reuse_enabled(); + let mut fused_parity = reuse_sign_wire.then(|| c.alloc_qreg("shpzdiv.par_sgn")); + let sgn = (!reuse_sign_wire).then(|| c.alloc_qreg("shpzdiv.sgn")); + let sign_control = fused_parity.as_ref().or(sgn.as_ref()).unwrap(); + compare_geq_const(c, &dx, &half_bytes, sign_control); + controlled_field_neg(c, sign_control, &dx); // dx := (sgn ? p-dx : dx) = |dx| + + // --- set up the inversion S_0 state (B = |dx|, A = p, cb = 1, parity = 1) --- + let (a0, b0, ca0, cb0, q0) = reg_widths(0); + let initial_pack = if q949_robust_symmetric_schedule_requested() { + trailmix_register_widths_step(0) + } else { + [ + a0.max(b0), + a0.max(b0), + ca0.max(cb0), + ca0.max(cb0), + q0.max(1), + ] + }; + shrunken_pz_resize(c, &mut dx, initial_pack[1], "B"); // |dx| becomes the EEA B register + let mut aa = c.alloc_qreg_bits("shpzdiv.A", initial_pack[0]); + let mut cca = c.alloc_qreg_bits("shpzdiv.ca", initial_pack[2]); + let mut ccb = c.alloc_qreg_bits("shpzdiv.cb", initial_pack[3]); + let mut qq = c.alloc_qreg_bits("shpzdiv.q", initial_pack[4]); + let s_rot = c.alloc_qreg_bits("shpzdiv.srot", trailmix_srot_width()); + let parity = fused_parity + .take() + .unwrap_or_else(|| c.alloc_qreg("shpzdiv.par")); + let counter = c.alloc_qreg_bits("shpzdiv.ctr", trailmix_counter_width()); + let off_owned = (!lowq_q956_off_borrow_enabled()).then(|| c.alloc_qreg("shpzdiv.off")); + let off = off_owned.as_ref().unwrap_or_else(|| { + assert_q956_off_alias(&counter[0], &counter, &s_rot); + &counter[0] + }); + let load_p = |c: &mut Circuit, reg: &[QReg]| { + for (j, q) in reg.iter().enumerate() { + if j < 256 && (p_bytes[j / 8] >> (j % 8)) & 1 == 1 { + c.x(q); + } + } + }; + load_p(c, &aa); // A = p + c.x(&ccb[0]); // cb = 1 + c.x(&parity); // parity = 1, or fused parity = 1 XOR sign + + // --- forward inversion: 1/|dx| in cb (up to the parity bit) --- + shrunken_pz_invert_forward( + c, &mut aa, &mut dx, &mut cca, &mut ccb, &mut qq, &counter, &parity, &s_rot, off, + ); + + let mut saved_affine_counter = if lowq_q949_affine_counter_enabled() { + assert_eq!(counter.len(), 1, "Q949 forward mode width"); + Some(q949_counter_export(c, &cca, &counter[0])) + } else { + None + }; + + // --- TEAR DOWN the EEA pack before creating lambda. At convergence the PZ + // state is A=0, B=1, ca=p, q=0 (all CONSTANTS) and cb=1/|dx| (the only data). + // Free the constant registers (0-Toffoli uncompute) so only cb is live during + // the multiply -- saves ~ca(258) qubits at the peak. Re-create them (cheap) + // before the backward. --- + let (ta, tb, tca, tq) = (aa.len(), dx.len(), cca.len(), qq.len()); + load_p(c, &cca); // ca: p -> 0 + c.x(&dx[0]); // B: 1 -> 0 + for q in std::mem::take(&mut aa) { + c.zero_and_free(q); // A = 0 + } + for q in std::mem::take(&mut dx) { + c.zero_and_free(q); // B = 0 + } + for q in std::mem::take(&mut cca) { + c.zero_and_free(q); // ca = 0 + } + for q in std::mem::take(&mut qq) { + c.zero_and_free(q); // q = 0 + } + if let Some(released) = released_dy_top { + restore_canonical_passenger_top(c, &mut dy, released, "divide-forward dy"); + } + // --- lambda = dy * (1/|dx|), parity/sign corrected (only cb live in the pack) --- + let cb_w = ccb.len(); + shrunken_pz_resize(c, &mut ccb, 257, "cb"); // pad the inverse to 257 for mod_mul + let mut lambda = c.alloc_qreg_bits("shpzdiv.lambda", 257); + if canonical_lambda_top_off { + mod_mul_canonical_mbu(c, &lambda, &ccb[..257], &dy); + } else { + mod_mul_rfold_mbu(c, &lambda, &ccb[..257], &dy); // lambda_raw = dy * cb + } + shrunken_pz_resize(c, &mut ccb, cb_w, "cb"); // restore width for the backward + // 1/dx = (-1)^{sgn + (1-parity)} * cb. With fusion, the live parity + // lane already equals sgn XOR parity, so its X-bracket is exactly f. + if reuse_sign_wire { + c.x(&parity); + if canonical_lambda_top_off { + controlled_field_neg_canonical(c, &parity, &lambda); + } else { + controlled_field_neg(c, &parity, &lambda); + } + c.x(&parity); + } else { + let sgn = sgn.as_ref().unwrap(); + let f = c.alloc_qreg("shpzdiv.negf"); + c.cx(sgn, &f); + c.cx(&parity, &f); + c.x(&f); // f = NOT(sgn XOR parity) + if canonical_lambda_top_off { + controlled_field_neg_canonical(c, &f, &lambda); + } else { + controlled_field_neg(c, &f, &lambda); + } + c.x(&f); + c.cx(&parity, &f); + c.cx(sgn, &f); // uncompute f + c.zero_and_free(f); + } + + if canonical_lambda_top_off { + release_q955_canonical_lambda_top(c, &mut lambda); + } + + // --- GHOST dy (HMR each bit) so the reverse runs dy-free --- + let mut ghosts = Vec::with_capacity(dy.len()); + for q in &dy { + ghosts.push(c.hmr_ghost(q)); + } + for q in dy { + c.zero_and_free(q); + } + // --- RE-CREATE the constant pack (A=0, B=1, ca=p, q=0) for the backward --- + aa = c.alloc_qreg_bits("shpzdiv.A", ta); // A = 0 + dx = c.alloc_qreg_bits("shpzdiv.B", tb); + c.x(&dx[0]); // B = 1 + cca = c.alloc_qreg_bits("shpzdiv.ca", tca); + load_p(c, &cca); // ca = p + qq = c.alloc_qreg_bits("shpzdiv.q", tq); // q = 0 + if let Some(saved) = saved_affine_counter.as_mut() { + q949_counter_import(c, &cca, &counter[0], saved); + } + + // --- backward inversion: restore B = |dx|, uncompute cb/parity --- + shrunken_pz_invert_backward( + c, &mut aa, &mut dx, &mut cca, &mut ccb, &mut qq, &counter, &parity, &s_rot, off, + ); + + // --- free the clean inversion ancillas (S_0: A=p, ca=0, cb=1, q=0) --- + if !reuse_sign_wire { + c.x(&parity); + } + c.x(&ccb[0]); // cb: 1 -> 0 + load_p(c, &aa); // A: p -> 0 + for q in aa.into_iter().chain(cca).chain(ccb).chain(qq) { + c.zero_and_free(q); + } + if let Some(off) = off_owned { + c.zero_and_free(off); + } + for q in s_rot.into_iter().chain(counter) { + c.zero_and_free(q); + } + + // --- un-sign-adjust: |dx| -> dx, uncompute sign state --- + shrunken_pz_resize(c, &mut dx, 257, "dx"); + if reuse_sign_wire { + // Reverse EEA restored fused parity = 1 XOR sign. + c.x(&parity); + controlled_field_neg(c, &parity, &dx); + compare_geq_const(c, &dx, &half_bytes, &parity); + c.zero_and_free(parity); + } else { + let sgn = sgn.unwrap(); + controlled_field_neg(c, &sgn, &dx); + compare_geq_const(c, &dx, &half_bytes, &sgn); + c.zero_and_free(sgn); + c.zero_and_free(parity); + } + + // --- reconstruct dy = lambda * dx and EXORCIZE the ghosts --- + if canonical_lambda_top_off { + restore_q955_canonical_lambda_top(c, &mut lambda); + } + assert_eq!(lambda.len(), 257, "slope API and raw dy roundtrip require 257 lanes"); + let dy_new = c.alloc_qreg_bits("shpzdiv.dy", 257); + if canonical_lambda_top_off { + mod_mul_canonical_mbu(c, &dy_new, &lambda[..257], &dx); + } else { + mod_mul_rfold_mbu(c, &dy_new, &lambda[..257], &dx); + } + for (g, q) in ghosts.into_iter().zip(dy_new.iter()) { + c.resolve_ghost(g, q); + } + + (dx, dy_new, lambda) +} + +/// CANCEL the `shrunken_pz` slope: given `lambda` = `new_dy` / `new_dx` (live, 257), drive it to +/// |0> and FREE it, with `new_dx` (dx) and `new_dy` (dy) PRESERVED. Returns +/// (`new_dx`, `new_dy`). By EC linearity `new_dy/new_dx` == lambda, so this is the +/// alt-witness cleanup that removes the slope ancilla after the point coordinates +/// are computed. +/// +/// Mirror of `shrunken_pz_divide_forward`, but it GHOSTS lambda (not dy) up front so only +/// `new_dy` rides through the inversion as the passenger (peak = EEA-peak + 256, same +/// as forward). After inverting `new_dx` -> cb = `1/|new_dx`|, it recomputes +/// temp = `new_dy` * cb (parity/sign corrected) = `new_dy/new_dx` == lambda's original +/// value, resolves the lambda-ghost against temp (exorcizing it), uncomputes temp +/// through the matching route-specific multiplier inverse, then reverse-inverts +/// to restore `new_dx`. On Q954 and structural-only passenger lifetime, canonical new_dy[256] +/// is released independently around both EEA traversals and restored with the +/// same physical ID for the intervening multiply and final API result. +pub fn shrunken_pz_divide_cancel( + c: &mut Circuit, + mut dx: Vec, + mut dy: Vec, + lambda: Vec, +) -> (Vec, Vec) { + use crate::point_add::trailmix_port::arith::compare::compare_geq_const; + use crate::point_add::trailmix_port::arith::rfold_mbu::{ + mod_mul_canonical_mbu, mod_mul_canonical_mbu_undo, mod_mul_rfold_mbu, + mod_mul_rfold_mbu_undo, + }; + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::reg_widths; + use crate::point_add::trailmix_port::num_bigint::BigUint; + assert_eq!(dx.len(), 257); + assert_eq!(dy.len(), 257); + assert_eq!(lambda.len(), 257); + let canonical_lambda = lowq_q955_off_canonical_enabled(); + let released_forward_dy_top = canonical_passenger_top_lifetime_enabled() + .then(|| release_canonical_passenger_top(c, &mut dy, "cancel-forward new_dy")); + let half_bytes = vec![ + 0x18, 0xfe, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, + ]; + let p_bytes = crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE; + + // --- sign-adjust new_dx -> |new_dx| < p/2 --- + let reuse_sign_wire = sign_parity_q_reuse_enabled(); + let mut fused_parity = reuse_sign_wire.then(|| c.alloc_qreg("shpzcan.par_sgn")); + let sgn = (!reuse_sign_wire).then(|| c.alloc_qreg("shpzcan.sgn")); + let sign_control = fused_parity.as_ref().or(sgn.as_ref()).unwrap(); + compare_geq_const(c, &dx, &half_bytes, sign_control); + controlled_field_neg(c, sign_control, &dx); + + // --- GHOST lambda (HMR each bit, free 257q) so the inversion runs lambda-free; + // new_dy is the sole 256-bit passenger (peak = EEA-peak + 256). --- + let mut lam_ghosts = Vec::with_capacity(lambda.len()); + for q in &lambda { + lam_ghosts.push(c.hmr_ghost(q)); + } + for q in lambda { + c.zero_and_free(q); + } + + // --- set up the inversion S_0 (B = |new_dx|, A = p, cb = 1, parity = 1) --- + let (a0, b0, ca0, cb0, q0) = reg_widths(0); + let initial_pack = if q949_robust_symmetric_schedule_requested() { + trailmix_register_widths_step(0) + } else { + [ + a0.max(b0), + a0.max(b0), + ca0.max(cb0), + ca0.max(cb0), + q0.max(1), + ] + }; + shrunken_pz_resize(c, &mut dx, initial_pack[1], "B"); + let mut aa = c.alloc_qreg_bits("shpzcan.A", initial_pack[0]); + let mut cca = c.alloc_qreg_bits("shpzcan.ca", initial_pack[2]); + let mut ccb = c.alloc_qreg_bits("shpzcan.cb", initial_pack[3]); + let mut qq = c.alloc_qreg_bits("shpzcan.q", initial_pack[4]); + let s_rot = c.alloc_qreg_bits("shpzcan.srot", trailmix_srot_width()); + let parity = fused_parity + .take() + .unwrap_or_else(|| c.alloc_qreg("shpzcan.par")); + let counter = c.alloc_qreg_bits("shpzcan.ctr", trailmix_counter_width()); + let off_owned = (!lowq_q956_off_borrow_enabled()).then(|| c.alloc_qreg("shpzcan.off")); + let off = off_owned.as_ref().unwrap_or_else(|| { + assert_q956_off_alias(&counter[0], &counter, &s_rot); + &counter[0] + }); + let load_p = |c: &mut Circuit, reg: &[QReg]| { + for (j, q) in reg.iter().enumerate() { + if j < 256 && (p_bytes[j / 8] >> (j % 8)) & 1 == 1 { + c.x(q); + } + } + }; + load_p(c, &aa); + c.x(&ccb[0]); + c.x(&parity); // parity = 1, or fused parity = 1 XOR sign + + // --- forward inversion: 1/|new_dx| in cb (passenger: new_dy) --- + shrunken_pz_invert_forward( + c, &mut aa, &mut dx, &mut cca, &mut ccb, &mut qq, &counter, &parity, &s_rot, off, + ); + + let mut saved_affine_counter = if lowq_q949_affine_counter_enabled() { + assert_eq!(counter.len(), 1, "Q949 cancel-forward mode width"); + Some(q949_counter_export(c, &cca, &counter[0])) + } else { + None + }; + + // --- tear down the constant pack (A=0,B=1,ca=p,q=0); keep cb=1/|new_dx| --- + let (ta, tb, tca, tq) = (aa.len(), dx.len(), cca.len(), qq.len()); + load_p(c, &cca); + c.x(&dx[0]); + for q in std::mem::take(&mut aa) { + c.zero_and_free(q); + } + for q in std::mem::take(&mut dx) { + c.zero_and_free(q); + } + for q in std::mem::take(&mut cca) { + c.zero_and_free(q); + } + for q in std::mem::take(&mut qq) { + c.zero_and_free(q); + } + if let Some(released) = released_forward_dy_top { + restore_canonical_passenger_top(c, &mut dy, released, "cancel-forward new_dy"); + } + // --- temp = new_dy * (1/|new_dx|), parity/sign corrected = new_dy/new_dx, the + // original value of lambda. Resolve the lambda-ghost against it, then uncompute + // temp. --- + let cb_w = ccb.len(); + shrunken_pz_resize(c, &mut ccb, 257, "cb"); + let temp = c.alloc_qreg_bits("shpzcan.temp", 257); + if canonical_lambda { + mod_mul_canonical_mbu(c, &temp, &ccb[..257], &dy); + } else { + mod_mul_rfold_mbu(c, &temp, &ccb[..257], &dy); + } + if reuse_sign_wire { + c.x(&parity); // fused parity -> f = NOT(sgn XOR parity) + if canonical_lambda { + controlled_field_neg_canonical(c, &parity, &temp); + } else { + controlled_field_neg(c, &parity, &temp); + } + for (g, q) in lam_ghosts.into_iter().zip(temp.iter()) { + c.resolve_ghost(g, q); + } + if canonical_lambda { + controlled_field_neg_canonical(c, &parity, &temp); + } else { + controlled_field_neg(c, &parity, &temp); + } + c.x(&parity); + } else { + let sgn = sgn.as_ref().unwrap(); + let f = c.alloc_qreg("shpzcan.negf"); + c.cx(sgn, &f); + c.cx(&parity, &f); + c.x(&f); // f = NOT(sgn XOR parity) + if canonical_lambda { + controlled_field_neg_canonical(c, &f, &temp); + } else { + controlled_field_neg(c, &f, &temp); + } + for (g, q) in lam_ghosts.into_iter().zip(temp.iter()) { + c.resolve_ghost(g, q); // exorcize lambda (temp == lambda's value) + } + if canonical_lambda { + controlled_field_neg_canonical(c, &f, &temp); + } else { + controlled_field_neg(c, &f, &temp); + } + c.x(&f); + c.cx(&parity, &f); + c.cx(sgn, &f); // uncompute f + c.zero_and_free(f); + } + if canonical_lambda { + mod_mul_canonical_mbu_undo(c, &temp, &ccb[..257], &dy); + } else { + mod_mul_rfold_mbu_undo(c, &temp, &ccb[..257], &dy); + } + for q in temp { + c.zero_and_free(q); + } + shrunken_pz_resize(c, &mut ccb, cb_w, "cb"); + + let released_reverse_dy_top = canonical_passenger_top_lifetime_enabled() + .then(|| release_canonical_passenger_top(c, &mut dy, "cancel-reverse new_dy")); + + // --- re-create the pack, backward inversion (restore B=|new_dx|) --- + aa = c.alloc_qreg_bits("shpzcan.A", ta); + dx = c.alloc_qreg_bits("shpzcan.B", tb); + c.x(&dx[0]); + cca = c.alloc_qreg_bits("shpzcan.ca", tca); + load_p(c, &cca); + qq = c.alloc_qreg_bits("shpzcan.q", tq); + if let Some(saved) = saved_affine_counter.as_mut() { + q949_counter_import(c, &cca, &counter[0], saved); + } + shrunken_pz_invert_backward( + c, &mut aa, &mut dx, &mut cca, &mut ccb, &mut qq, &counter, &parity, &s_rot, off, + ); + + // --- free the clean inversion ancillas (S_0: A=p, ca=0, cb=1, q=0) --- + if !reuse_sign_wire { + c.x(&parity); + } + c.x(&ccb[0]); + load_p(c, &aa); + for q in aa.into_iter().chain(cca).chain(ccb).chain(qq) { + c.zero_and_free(q); + } + if let Some(off) = off_owned { + c.zero_and_free(off); + } + for q in s_rot.into_iter().chain(counter) { + c.zero_and_free(q); + } + if let Some(released) = released_reverse_dy_top { + restore_canonical_passenger_top(c, &mut dy, released, "cancel-reverse new_dy"); + } + + // --- un-sign-adjust: |new_dx| -> new_dx, uncompute sign state --- + shrunken_pz_resize(c, &mut dx, 257, "dx"); + if reuse_sign_wire { + c.x(&parity); + controlled_field_neg(c, &parity, &dx); + compare_geq_const(c, &dx, &half_bytes, &parity); + c.zero_and_free(parity); + } else { + let sgn = sgn.unwrap(); + controlled_field_neg(c, &sgn, &dx); + compare_geq_const(c, &dx, &half_bytes, &sgn); + c.zero_and_free(sgn); + c.zero_and_free(parity); + } + + (dx, dy) +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct GatedCompareExhaustiveReport { + pub widths_checked: usize, + pub comparator_states_checked: usize, + pub gate_hold_states_checked: usize, + pub borrowed_comparator_states_checked: usize, + pub borrowed_gate_hold_states_checked: usize, + pub max_comparator_extra_qubits: usize, + pub max_gate_hold_extra_qubits: usize, + pub max_borrowed_comparator_extra_qubits: usize, + pub max_borrowed_gate_hold_extra_qubits: usize, +} + +/// Exhaustively verify the active-gated comparator and `gate_hold` skeleton for +/// widths one through five over every basis state. +#[doc(hidden)] +pub fn exhaustive_gated_compare_check() -> GatedCompareExhaustiveReport { + use crate::circuit::{Op, OperationType}; + + fn apply(ops: &[Op], mut state: u64) -> u64 { + let bit = |state: u64, id: u64| ((state >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::R => { + assert!(!bit(state, op.q_target.0), "freed comparator carry was not zero"); + } + other => panic!("gated comparator emitted unexpected gate {other:?}"), + } + } + state + } + + fn word(state: u64, start: usize, width: usize) -> u64 { + (state >> start) & ((1u64 << width) - 1) + } + + let mut comparator_states_checked = 0usize; + let mut gate_hold_states_checked = 0usize; + let mut borrowed_comparator_states_checked = 0usize; + let mut borrowed_gate_hold_states_checked = 0usize; + let mut max_comparator_extra_qubits = 0usize; + let mut max_gate_hold_extra_qubits = 0usize; + let mut max_borrowed_comparator_extra_qubits = 0usize; + let mut max_borrowed_gate_hold_extra_qubits = 0usize; + + for width in 1..=5usize { + let mut c = Circuit::new(); + let active = c.alloc_qreg("gated-check.active"); + let out = c.alloc_qreg("gated-check.out"); + let v = c.alloc_qreg_bits("gated-check.v", width); + let u = c.alloc_qreg_bits("gated-check.u", width); + let vr: Vec<&QReg> = v.iter().collect(); + let ur: Vec<&QReg> = u.iter().collect(); + borrow_compare_gated_refs(&mut c, &vr, &ur, &active, &out); + let external = 2 * width + 2; + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_comparator_extra_qubits = max_comparator_extra_qubits.max(extra); + assert_eq!(extra, 1, "width={width}: gated comparator peak changed"); + + for input in 0..(1u64 << external) { + comparator_states_checked += 1; + let active_pre = input & 1; + let out_pre = (input >> 1) & 1; + let v_pre = word(input, 2, width); + let u_pre = word(input, 2 + width, width); + let got = apply(&builder.ops, input); + let expected_out = out_pre ^ (active_pre & u64::from(v_pre < u_pre)); + assert_eq!(got & 1, active_pre, "width={width}: active changed"); + assert_eq!((got >> 1) & 1, expected_out, "width={width} input={input}"); + assert_eq!(word(got, 2, width), v_pre, "width={width}: v changed"); + assert_eq!(word(got, 2 + width, width), u_pre, "width={width}: u changed"); + } + + let mut c = Circuit::new(); + let active = c.alloc_qreg("borrowed-check.active"); + let out = c.alloc_qreg("borrowed-check.out"); + let carry = c.alloc_qreg("borrowed-check.carry"); + let v = c.alloc_qreg_bits("borrowed-check.v", width); + let u = c.alloc_qreg_bits("borrowed-check.u", width); + let vr: Vec<&QReg> = v.iter().collect(); + let ur: Vec<&QReg> = u.iter().collect(); + borrow_compare_gated_refs_with_carry(&mut c, &vr, &ur, &active, &out, &carry); + let external = 2 * width + 3; + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_borrowed_comparator_extra_qubits = + max_borrowed_comparator_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: borrowed comparator allocated"); + + for input in 0..(1u64 << external) { + if (input >> 2) & 1 != 0 { + continue; + } + borrowed_comparator_states_checked += 1; + let active_pre = input & 1; + let out_pre = (input >> 1) & 1; + let v_pre = word(input, 3, width); + let u_pre = word(input, 3 + width, width); + let got = apply(&builder.ops, input); + let expected_out = out_pre ^ (active_pre & u64::from(v_pre < u_pre)); + assert_eq!(got & 1, active_pre, "width={width}: active changed"); + assert_eq!((got >> 1) & 1, expected_out, "width={width} input={input}"); + assert_eq!((got >> 2) & 1, 0, "width={width}: carry not restored"); + assert_eq!(word(got, 3, width), v_pre, "width={width}: v changed"); + assert_eq!(word(got, 3 + width, width), u_pre, "width={width}: u changed"); + } + + let mut c = Circuit::new(); + let active = c.alloc_qreg("gate-hold-check.active"); + let g = c.alloc_qreg("gate-hold-check.g"); + let body = c.alloc_qreg("gate-hold-check.body"); + let x = c.alloc_qreg_bits("gate-hold-check.x", width); + let y = c.alloc_qreg_bits("gate-hold-check.y", width); + gate_hold(&mut c, &x, &y, &active, &g, None, |c, gate| { + c.cx(gate, &body) + }); + let external = 2 * width + 3; + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_gate_hold_extra_qubits = max_gate_hold_extra_qubits.max(extra); + assert_eq!(extra, 1, "width={width}: gate_hold peak changed"); + + for input in 0..(1u64 << external) { + gate_hold_states_checked += 1; + let active_pre = input & 1; + let g_pre = (input >> 1) & 1; + let body_pre = (input >> 2) & 1; + let x_pre = word(input, 3, width); + let y_pre = word(input, 3 + width, width); + let got = apply(&builder.ops, input); + let gate = g_pre ^ (active_pre & u64::from(x_pre < y_pre)); + assert_eq!(got & 1, active_pre, "width={width}: active changed"); + assert_eq!((got >> 1) & 1, g_pre, "width={width}: g not restored"); + assert_eq!((got >> 2) & 1, body_pre ^ gate, "width={width}: body mismatch"); + assert_eq!(word(got, 3, width), x_pre, "width={width}: x changed"); + assert_eq!(word(got, 3 + width, width), y_pre, "width={width}: y changed"); + } + + let mut c = Circuit::new(); + let active = c.alloc_qreg("borrowed-hold.active"); + let g = c.alloc_qreg("borrowed-hold.g"); + let body = c.alloc_qreg("borrowed-hold.body"); + let carry = c.alloc_qreg("borrowed-hold.carry"); + let x = c.alloc_qreg_bits("borrowed-hold.x", width); + let y = c.alloc_qreg_bits("borrowed-hold.y", width); + gate_hold( + &mut c, + &x, + &y, + &active, + &g, + Some(&carry), + |c, gate| c.cx(gate, &body), + ); + let external = 2 * width + 4; + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_borrowed_gate_hold_extra_qubits = max_borrowed_gate_hold_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: borrowed gate_hold allocated"); + + for input in 0..(1u64 << external) { + if (input >> 3) & 1 != 0 { + continue; + } + borrowed_gate_hold_states_checked += 1; + let active_pre = input & 1; + let g_pre = (input >> 1) & 1; + let body_pre = (input >> 2) & 1; + let x_pre = word(input, 4, width); + let y_pre = word(input, 4 + width, width); + let got = apply(&builder.ops, input); + let gate = g_pre ^ (active_pre & u64::from(x_pre < y_pre)); + assert_eq!(got & 1, active_pre, "width={width}: active changed"); + assert_eq!((got >> 1) & 1, g_pre, "width={width}: g not restored"); + assert_eq!((got >> 2) & 1, body_pre ^ gate, "width={width}: body mismatch"); + assert_eq!((got >> 3) & 1, 0, "width={width}: carry not restored"); + assert_eq!(word(got, 4, width), x_pre, "width={width}: x changed"); + assert_eq!(word(got, 4 + width, width), y_pre, "width={width}: y changed"); + } + } + + GatedCompareExhaustiveReport { + widths_checked: 5, + comparator_states_checked, + gate_hold_states_checked, + borrowed_comparator_states_checked, + borrowed_gate_hold_states_checked, + max_comparator_extra_qubits, + max_gate_hold_extra_qubits, + max_borrowed_comparator_extra_qubits, + max_borrowed_gate_hold_extra_qubits, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q948DirectHclzRoundtripReport { + pub widths_checked: usize, + pub window_pairs_checked: usize, + pub update_active_states_checked: usize, + pub update_inactive_states_checked: usize, + pub parity_active_states_checked: usize, + pub parity_inactive_states_checked: usize, + pub phase_cleanup_states_checked: usize, + pub ancilla_cleanup_states_checked: usize, + pub reset_operations_checked: usize, + pub phase_sensitive_operations_observed: usize, + pub max_update_extra_qubits: usize, + pub max_parity_extra_qubits: usize, +} + +/// Exhaustively check the zero-allocation update and parity bodies used by the +/// Q948 peak guard. Every checked circuit is composed with its inverse, every +/// externally borrowed lane is compared literally, and resets are accepted +/// only when their target is zero. The gate-set audit rejects phase operations. +#[doc(hidden)] +pub fn q948_direct_hclz_roundtrip_check() -> Q948DirectHclzRoundtripReport { + use crate::circuit::{Op, OperationType}; + + fn apply(ops: &[Op], mut state: u64, resets_checked: &mut usize) -> u64 { + let bit = |state: u64, id: u64| ((state >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::R => { + assert!(!bit(state, op.q_target.0), "Q948 direct HCLZ reset nonzero"); + *resets_checked += 1; + } + other => panic!("Q948 direct HCLZ proof emitted phase-sensitive gate {other:?}"), + } + } + state + } + + fn word(state: u64, start: usize, width: usize) -> u64 { + (state >> start) & ((1u64 << width) - 1) + } + + let mut window_pairs_checked = 0usize; + let mut update_active_states_checked = 0usize; + let mut update_inactive_states_checked = 0usize; + let mut parity_active_states_checked = 0usize; + let mut parity_inactive_states_checked = 0usize; + let mut reset_operations_checked = 0usize; + let mut max_update_extra_qubits = 0usize; + let mut max_parity_extra_qubits = 0usize; + + for width in 1..=3usize { + for lo_a in 0..width { + for lo_b in 0..width { + window_pairs_checked += 1; + + let mut update = Circuit::new(); + let active = update.alloc_qreg("q948-direct-update.active"); + let selector = update.alloc_qreg("q948-direct-update.selector"); + let target = update.alloc_qreg_bits("q948-direct-update.target", 3); + let target_refs: Vec<&QReg> = target.iter().collect(); + let a = update.alloc_qreg_bits("q948-direct-update.a", width); + let b = update.alloc_qreg_bits("q948-direct-update.b", width); + let extra = update.alloc_qreg_bits("q948-direct-update.extra", 2); + let extra_refs: Vec<&QReg> = extra.iter().collect(); + direct_bitlen_diff_update( + &mut update, + &a, + &b, + lo_a, + lo_b, + &target_refs, + &active, + &selector, + false, + &extra_refs, + ); + direct_bitlen_diff_update( + &mut update, + &a, + &b, + lo_a, + lo_b, + &target_refs, + &active, + &selector, + true, + &extra_refs, + ); + let update_external = 7 + 2 * width; + let update_builder = update.into_builder(); + let update_extra = update_builder.peak_qubits as usize - update_external; + max_update_extra_qubits = max_update_extra_qubits.max(update_extra); + assert_eq!(update_extra, 0, "Q948 direct update allocated a lane"); + let update_a_start = 5; + let update_b_start = update_a_start + width; + for input in 0..(1u64 << update_external) { + assert!(update_external < 64); + if (input >> 1) & 1 != 0 { + continue; + } + let active_pre = input & 1; + let a_pre = word(input, update_a_start, width); + let b_pre = word(input, update_b_start, width); + if active_pre == 1 + && ((a_pre >> lo_a) == 0 || (b_pre >> lo_b) == 0) + { + continue; + } + if active_pre == 1 { + update_active_states_checked += 1; + } else { + update_inactive_states_checked += 1; + } + let got = apply( + &update_builder.ops, + input, + &mut reset_operations_checked, + ); + assert_eq!( + got, input, + "Q948 direct update roundtrip width={width} lo_a={lo_a} lo_b={lo_b} input={input}" + ); + } + + let mut parity = Circuit::new(); + let active = parity.alloc_qreg("q948-direct-parity.active"); + let out = parity.alloc_qreg("q948-direct-parity.out"); + let a = parity.alloc_qreg_bits("q948-direct-parity.a", width); + let b = parity.alloc_qreg_bits("q948-direct-parity.b", width); + let extra = parity.alloc_qreg_bits("q948-direct-parity.extra", 2); + let extra_refs: Vec<&QReg> = extra.iter().collect(); + direct_bitlen_diff_parity( + &mut parity, + &a, + &b, + lo_a, + lo_b, + &out, + &active, + &extra_refs, + ); + direct_bitlen_diff_parity( + &mut parity, + &a, + &b, + lo_a, + lo_b, + &out, + &active, + &extra_refs, + ); + let parity_external = 4 + 2 * width; + let parity_builder = parity.into_builder(); + let parity_extra = parity_builder.peak_qubits as usize - parity_external; + max_parity_extra_qubits = max_parity_extra_qubits.max(parity_extra); + assert_eq!(parity_extra, 0, "Q948 direct parity allocated a lane"); + let parity_a_start = 2; + let parity_b_start = parity_a_start + width; + for input in 0..(1u64 << parity_external) { + let active_pre = input & 1; + let a_pre = word(input, parity_a_start, width); + let b_pre = word(input, parity_b_start, width); + if active_pre == 1 + && ((a_pre >> lo_a) == 0 || (b_pre >> lo_b) == 0) + { + continue; + } + if active_pre == 1 { + parity_active_states_checked += 1; + } else { + parity_inactive_states_checked += 1; + } + let got = apply( + &parity_builder.ops, + input, + &mut reset_operations_checked, + ); + assert_eq!( + got, input, + "Q948 direct parity roundtrip width={width} lo_a={lo_a} lo_b={lo_b} input={input}" + ); + } + } + } + } + + let cleanup_states_checked = update_active_states_checked + + update_inactive_states_checked + + parity_active_states_checked + + parity_inactive_states_checked; + Q948DirectHclzRoundtripReport { + widths_checked: 3, + window_pairs_checked, + update_active_states_checked, + update_inactive_states_checked, + parity_active_states_checked, + parity_inactive_states_checked, + phase_cleanup_states_checked: cleanup_states_checked, + ancilla_cleanup_states_checked: cleanup_states_checked, + reset_operations_checked, + phase_sensitive_operations_observed: 0, + max_update_extra_qubits, + max_parity_extra_qubits, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct SelectiveBorrowExhaustiveReport { + pub bitlen_widths_checked: usize, + pub bitlen_states_checked: usize, + pub bitlen_parity_states_checked: usize, + pub counter_gate_widths_checked: usize, + pub counter_gate_states_checked: usize, + pub done_widths_checked: usize, + pub done_states_checked: usize, + pub demux_widths_checked: usize, + pub demux_states_checked: usize, + pub swap_widths_checked: usize, + pub swap_states_checked: usize, + pub max_bitlen_extra_qubits: usize, + pub max_bitlen_parity_extra_qubits: usize, + pub max_counter_gate_extra_qubits: usize, + pub max_done_extra_qubits: usize, + pub max_demux_extra_qubits: usize, + pub max_swap_extra_qubits: usize, +} + +/// Exhaustively verify the actual borrowed demultiplexer and promised-support +/// swap circuits on small basis spaces. The caller must enable the sealed Q959 +/// route so this exercises the production branches. +#[doc(hidden)] +pub fn exhaustive_selective_borrow_check() -> SelectiveBorrowExhaustiveReport { + use crate::circuit::{Op, OperationType}; + + assert!(lowq_q959_selective_borrow_enabled()); + + fn apply(ops: &[Op], mut state: u64) -> u64 { + let bit = |state: u64, id: u64| ((state >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::R => { + assert!(!bit(state, op.q_target.0), "borrowed lane was not zero"); + } + other => panic!("selective-borrow proof emitted unexpected gate {other:?}"), + } + } + state + } + + fn word(state: u64, start: usize, width: usize) -> u64 { + (state >> start) & ((1u64 << width) - 1) + } + + let mut demux_states_checked = 0usize; + let mut swap_states_checked = 0usize; + let mut bitlen_states_checked = 0usize; + let mut bitlen_parity_states_checked = 0usize; + let mut counter_gate_states_checked = 0usize; + let mut done_states_checked = 0usize; + let mut max_bitlen_extra_qubits = 0usize; + let mut max_bitlen_parity_extra_qubits = 0usize; + let mut max_counter_gate_extra_qubits = 0usize; + let mut max_done_extra_qubits = 0usize; + let mut max_demux_extra_qubits = 0usize; + let mut max_swap_extra_qubits = 0usize; + + for width in 1..=3usize { + for lo_a in 0..width { + for lo_b in 0..width { + for subtract_diff in [false, true] { + let mut c = Circuit::new(); + let active = c.alloc_qreg("bitlen-check.active"); + let gate = c.alloc_qreg("bitlen-check.gate"); + let target = c.alloc_qreg_bits("bitlen-check.target", 3); + let target_refs: Vec<&QReg> = target.iter().collect(); + let a = c.alloc_qreg_bits("bitlen-check.a", width); + let b = c.alloc_qreg_bits("bitlen-check.b", width); + let extra = c.alloc_qreg_bits("bitlen-check.extra", 2); + let extra_refs: Vec<&QReg> = extra.iter().collect(); + direct_bitlen_diff_update( + &mut c, + &a, + &b, + lo_a, + lo_b, + &target_refs, + &active, + &gate, + subtract_diff, + &extra_refs, + ); + let external = 7 + 2 * width; + let builder = c.into_builder(); + let added = builder.peak_qubits as usize - external; + max_bitlen_extra_qubits = max_bitlen_extra_qubits.max(added); + assert_eq!( + added, 0, + "width={width} lo_a={lo_a} lo_b={lo_b}: direct bitlen allocated" + ); + + let target_start = 2; + let a_start = target_start + 3; + let b_start = a_start + width; + let target_mask = 0b111u64; + for input in 0..(1u64 << external) { + if (input >> 1) & 1 != 0 { + continue; + } + let a_pre = word(input, a_start, width); + let b_pre = word(input, b_start, width); + if (a_pre >> lo_a) == 0 || (b_pre >> lo_b) == 0 { + continue; + } + bitlen_states_checked += 1; + let active_pre = input & 1; + let target_pre = word(input, target_start, 3); + let a_len = 64 - a_pre.leading_zeros() as u64; + let b_len = 64 - b_pre.leading_zeros() as u64; + let delta = if subtract_diff { + b_len.wrapping_sub(a_len) + } else { + a_len.wrapping_sub(b_len) + }; + let target_post = + target_pre.wrapping_add(active_pre * delta) & target_mask; + let expected = (input & !(target_mask << target_start)) + | (target_post << target_start); + let got = apply(&builder.ops, input); + assert_eq!( + got, expected, + "bitlen width={width} lo_a={lo_a} lo_b={lo_b} input={input}" + ); + } + } + } + } + } + + for width in 1..=3usize { + for lo_a in 0..width { + for lo_b in 0..width { + let mut c = Circuit::new(); + let active = c.alloc_qreg("bitlen-parity-check.active"); + let out = c.alloc_qreg("bitlen-parity-check.out"); + let a = c.alloc_qreg_bits("bitlen-parity-check.a", width); + let b = c.alloc_qreg_bits("bitlen-parity-check.b", width); + let extra = c.alloc_qreg_bits("bitlen-parity-check.extra", 2); + let extra_refs: Vec<&QReg> = extra.iter().collect(); + direct_bitlen_diff_parity( + &mut c, + &a, + &b, + lo_a, + lo_b, + &out, + &active, + &extra_refs, + ); + let external = 4 + 2 * width; + let builder = c.into_builder(); + let added = builder.peak_qubits as usize - external; + max_bitlen_parity_extra_qubits = + max_bitlen_parity_extra_qubits.max(added); + assert_eq!( + added, 0, + "width={width} lo_a={lo_a} lo_b={lo_b}: direct parity allocated" + ); + + let a_start = 2; + let b_start = a_start + width; + for input in 0..(1u64 << external) { + let active_pre = input & 1; + let a_pre = word(input, a_start, width); + let b_pre = word(input, b_start, width); + if active_pre == 1 && ((a_pre >> lo_a) == 0 || (b_pre >> lo_b) == 0) { + continue; + } + bitlen_parity_states_checked += 1; + let a_len = 64 - a_pre.leading_zeros() as u64; + let b_len = 64 - b_pre.leading_zeros() as u64; + let expected = input ^ (active_pre * ((a_len ^ b_len) & 1) << 1); + let got = apply(&builder.ops, input); + assert_eq!( + got, expected, + "bitlen parity width={width} lo_a={lo_a} lo_b={lo_b} input={input}" + ); + } + } + } + } + + for width in 1..=3usize { + let mut c = Circuit::new(); + let parity = c.alloc_qreg("counter-gate.parity"); + let g = c.alloc_qreg("counter-gate.g"); + let s_rot = c.alloc_qreg_bits("counter-gate.s", 2); + let body = c.alloc_qreg("counter-gate.body"); + let x = c.alloc_qreg_bits("counter-gate.x", width); + let y = c.alloc_qreg_bits("counter-gate.y", width); + let counter = c.alloc_qreg_bits("counter-gate.counter", 2); + let extra = c.alloc_qreg_bits("counter-gate.extra", 2); + let candidates: Vec<&QReg> = x + .iter() + .chain(y.iter()) + .chain(counter.iter()) + .chain(extra.iter()) + .chain(std::iter::once(&body)) + .chain(std::iter::once(&parity)) + .chain(s_rot.iter()) + .chain(std::iter::once(&g)) + .collect(); + gate_hold_counter_zero( + &mut c, + &x, + &y, + &counter, + &parity, + &s_rot, + &g, + &candidates, + |c, gate| c.cx(gate, &body), + ); + let external = 9 + 2 * width; + let builder = c.into_builder(); + let added = builder.peak_qubits as usize - external; + max_counter_gate_extra_qubits = max_counter_gate_extra_qubits.max(added); + assert_eq!(added, 0, "width={width}: counter gate allocated"); + + let x_start = 5; + let y_start = x_start + width; + let counter_start = y_start + width; + for input in 0..(1u64 << external) { + if input & 0b1110 != 0 { + continue; + } + counter_gate_states_checked += 1; + let x_pre = word(input, x_start, width); + let y_pre = word(input, y_start, width); + let counter_pre = word(input, counter_start, 2); + let gate_pre = u64::from(counter_pre == 0 && x_pre < y_pre); + let expected = input ^ (gate_pre << 4); + let got = apply(&builder.ops, input); + assert_eq!(got, expected, "counter gate width={width} input={input}"); + } + } + + for width in 1..=3usize { + for inverse in [false, true] { + let mut c = Circuit::new(); + let off = c.alloc_qreg("done-check.off"); + let s_rot = c.alloc_qreg_bits("done-check.s", 2); + let aa = c.alloc_qreg_bits("done-check.a", width); + let qq = c.alloc_qreg_bits("done-check.q", 2); + let counter = c.alloc_qreg_bits("done-check.counter", 2); + let extra = c.alloc_qreg_bits("done-check.extra", 2); + let candidates: Vec<&QReg> = aa + .iter() + .chain(qq.iter()) + .chain(counter.iter()) + .chain(extra.iter()) + .chain(s_rot.iter()) + .chain(std::iter::once(&off)) + .collect(); + done_counter_fn( + &mut c, + &aa, + &qq, + &counter, + &s_rot, + &off, + &candidates, + inverse, + ); + let external = 9 + width; + let builder = c.into_builder(); + let added = builder.peak_qubits as usize - external; + max_done_extra_qubits = max_done_extra_qubits.max(added); + assert_eq!(added, 0, "width={width}: done counter allocated"); + + let a_start = 3; + let q_start = a_start + width; + let counter_start = q_start + 2; + for input in 0..(1u64 << external) { + if input & 0b111 != 0 { + continue; + } + let a_pre = word(input, a_start, width); + let q_pre = word(input, q_start, 2); + let counter_pre = word(input, counter_start, 2); + let conv = a_pre == 0 && q_pre == 0; + if inverse { + if (counter_pre == 0) != !conv { + continue; + } + } else if (counter_pre > 0 && !conv) || (counter_pre == 3 && conv) { + continue; + } + done_states_checked += 1; + let counter_post = if inverse { + counter_pre.saturating_sub(u64::from(counter_pre > 0)) + } else { + counter_pre + u64::from(conv) + }; + let mask = 0b11u64 << counter_start; + let expected = (input & !mask) | (counter_post << counter_start); + let got = apply(&builder.ops, input); + assert_eq!(got, expected, "done width={width} inverse={inverse} input={input}"); + } + } + } + + for width in 1..=3usize { + let mut c = Circuit::new(); + let active = c.alloc_qreg("demux-check.active"); + let gate = c.alloc_qreg("demux-check.gate"); + let s = c.alloc_qreg_bits("demux-check.s", width); + let q = c.alloc_qreg_bits("demux-check.q", 1usize << width); + let lender_regs = c.alloc_qreg_bits("demux-check.lender", width.saturating_sub(1)); + let lenders: Vec<&QReg> = lender_regs.iter().collect(); + let s_refs: Vec<&QReg> = s.iter().collect(); + set_bit_at_s_gated(&mut c, &q, &s_refs, &active, &gate, &lenders); + let external = 2 + width + (1usize << width) + lender_regs.len(); + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_demux_extra_qubits = max_demux_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: borrowed demux allocated"); + + let s_start = 2; + let q_start = s_start + width; + for input in 0..(1u64 << external) { + if (input >> 1) & 1 != 0 { + continue; + } + demux_states_checked += 1; + let active_pre = input & 1; + let selected = word(input, s_start, width) as usize; + let expected = input ^ (active_pre << (q_start + selected)); + let got = apply(&builder.ops, input); + assert_eq!(got, expected, "demux width={width} input={input}"); + } + } + + for width in 1..=2usize { + let mut c = Circuit::new(); + let _active = c.alloc_qreg("swap-check.spectator"); + let parity = c.alloc_qreg("swap-check.parity"); + let off = c.alloc_qreg("swap-check.off"); + let s_rot = c.alloc_qreg_bits("swap-check.s", 2); + let aa = c.alloc_qreg_bits("swap-check.a", width); + let bb = c.alloc_qreg_bits("swap-check.b", width); + let cca = c.alloc_qreg_bits("swap-check.ca", width); + let ccb = c.alloc_qreg_bits("swap-check.cb", width); + let qq = c.alloc_qreg_bits("swap-check.q", width); + let counter = c.alloc_qreg_bits("swap-check.counter", 1); + borrowed_swap_in_place( + &mut c, &aa, &bb, &cca, &ccb, &qq, &counter, &parity, &s_rot, &off, + ); + let external = 6 + 5 * width; + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_swap_extra_qubits = max_swap_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: borrowed swap allocated"); + + let a_start = 5; + let b_start = a_start + width; + let ca_start = b_start + width; + let cb_start = ca_start + width; + let q_start = cb_start + width; + let counter_start = q_start + width; + let mask = (1u64 << width) - 1; + for input in 0..(1u64 << external) { + if input & 0b1_1100 != 0 { + continue; + } + let a_pre = word(input, a_start, width); + let b_pre = word(input, b_start, width); + let q_pre = word(input, q_start, width); + let counter_pre = word(input, counter_start, 1); + let gate = counter_pre == 0 && q_pre == 0 && a_pre != 0; + if gate && b_pre == 0 { + continue; + } + swap_states_checked += 1; + let mut expected = input; + if gate { + let ca_pre = word(input, ca_start, width); + let cb_pre = word(input, cb_start, width); + expected &= !((mask << a_start) + | (mask << b_start) + | (mask << ca_start) + | (mask << cb_start)); + expected |= b_pre << a_start; + expected |= a_pre << b_start; + expected |= cb_pre << ca_start; + expected |= ca_pre << cb_start; + expected ^= 1 << 1; + } + let got = apply(&builder.ops, input); + assert_eq!(got, expected, "swap width={width} input={input}"); + } + } + + SelectiveBorrowExhaustiveReport { + bitlen_widths_checked: 3, + bitlen_states_checked, + bitlen_parity_states_checked, + counter_gate_widths_checked: 3, + counter_gate_states_checked, + done_widths_checked: 3, + done_states_checked, + demux_widths_checked: 3, + demux_states_checked, + swap_widths_checked: 2, + swap_states_checked, + max_bitlen_extra_qubits, + max_bitlen_parity_extra_qubits, + max_counter_gate_extra_qubits, + max_done_extra_qubits, + max_demux_extra_qubits, + max_swap_extra_qubits, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct OffBorrowExhaustiveReport { + pub body_widths_checked: usize, + pub forward_states_checked: usize, + pub reverse_states_checked: usize, + pub roundtrip_states_checked: usize, + pub composed_widths_checked: usize, + pub composed_states_checked: usize, + pub composed_roundtrip_states_checked: usize, + pub demux_widths_checked: usize, + pub demux_states_checked: usize, + pub done_widths_checked: usize, + pub done_states_checked: usize, + pub swap_widths_checked: usize, + pub swap_states_checked: usize, + pub max_body_extra_qubits: usize, + pub max_composed_extra_qubits: usize, + pub max_demux_extra_qubits: usize, + pub max_done_extra_qubits: usize, + pub max_swap_extra_qubits: usize, +} + +/// Exhaustively verify the Q956 support contract on small basis spaces. +/// Active branches require the borrowed counter lane to be zero; inactive +/// branches deliberately cover both lane values and must remain unchanged. +/// The body checks exercise the production masked shift/increment primitives +/// in both directions and as a complete forward/reverse cleanup pair. +#[doc(hidden)] +pub fn exhaustive_off_borrow_check() -> OffBorrowExhaustiveReport { + use crate::circuit::{Op, OperationType}; + + assert!(lowq_q956_off_borrow_enabled()); + + fn apply(ops: &[Op], mut state: u64) -> u64 { + let bit = |state: u64, id: u64| ((state >> id) & 1) != 0; + for op in ops { + match op.kind { + OperationType::X => state ^= 1u64 << op.q_target.0, + OperationType::CX => { + if bit(state, op.q_control1.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::CCX => { + if bit(state, op.q_control1.0) && bit(state, op.q_control2.0) { + state ^= 1u64 << op.q_target.0; + } + } + OperationType::R => { + assert!(!bit(state, op.q_target.0), "Q956 proof freed a nonzero lane"); + } + other => panic!("Q956 off-borrow proof emitted unexpected gate {other:?}"), + } + } + state + } + + fn word(state: u64, start: usize, width: usize) -> u64 { + (state >> start) & ((1u64 << width) - 1) + } + + let mut forward_states_checked = 0usize; + let mut reverse_states_checked = 0usize; + let mut roundtrip_states_checked = 0usize; + let mut composed_states_checked = 0usize; + let mut composed_roundtrip_states_checked = 0usize; + let mut demux_states_checked = 0usize; + let mut done_states_checked = 0usize; + let mut swap_states_checked = 0usize; + let mut max_body_extra_qubits = 0usize; + let mut max_composed_extra_qubits = 0usize; + let mut max_demux_extra_qubits = 0usize; + let mut max_done_extra_qubits = 0usize; + let mut max_swap_extra_qubits = 0usize; + + for width in 2..=4usize { + let build = |forward: bool, roundtrip: bool| { + let mut c = Circuit::new(); + let active = c.alloc_qreg("off-body.active"); + let predicate = c.alloc_qreg("off-body.predicate"); + let off = c.alloc_qreg("off-body.borrowed"); + let s = c.alloc_qreg_bits("off-body.s", 3); + let value = c.alloc_qreg_bits("off-body.value", width); + let lender_regs = c.alloc_qreg_bits("off-body.lender", 4); + let s_refs: Vec<&QReg> = s.iter().collect(); + let candidates: Vec<&QReg> = value + .iter() + .chain(s.iter()) + .chain(lender_regs.iter()) + .chain(std::iter::once(&active)) + .chain(std::iter::once(&predicate)) + .chain(std::iter::once(&off)) + .collect(); + let emit_forward = |c: &mut Circuit| { + c.ccx(&active, &predicate, &off); + rotate_one_by_off(c, &value, &active, &off, true, &candidates); + ctrl_inc_by_off(c, &active, &off, &s_refs, &candidates); + c.ccx(&active, &predicate, &off); + }; + let emit_reverse = |c: &mut Circuit| { + c.ccx(&active, &predicate, &off); + ctrl_dec_by_off(c, &active, &off, &s_refs, &candidates); + rotate_one_by_off(c, &value, &active, &off, false, &candidates); + c.ccx(&active, &predicate, &off); + }; + if forward { + emit_forward(&mut c); + if roundtrip { + emit_reverse(&mut c); + } + } else { + emit_reverse(&mut c); + } + c.into_builder() + }; + + let external = 10 + width; + let forward = build(true, false); + let reverse = build(false, false); + let roundtrip = build(true, true); + for builder in [&forward, &reverse, &roundtrip] { + let extra = builder.peak_qubits as usize - external; + max_body_extra_qubits = max_body_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: Q956 body allocated a lane"); + } + + let s_start = 3; + let value_start = 6; + let s_mask = 0b111u64; + let value_mask = (1u64 << width) - 1; + for input in 0..(1u64 << external) { + let active = input & 1; + let predicate = (input >> 1) & 1; + let off = (input >> 2) & 1; + if active == 1 && off != 0 { + continue; + } + let gate = active & predicate; + let s_pre = word(input, s_start, 3); + let value_pre = word(input, value_start, width); + + if gate == 0 || value_pre >> (width - 1) == 0 { + forward_states_checked += 1; + let s_post = s_pre.wrapping_add(gate) & s_mask; + let value_post = (value_pre << gate) & value_mask; + let expected = (input + & !((s_mask << s_start) | (value_mask << value_start))) + | (s_post << s_start) + | (value_post << value_start); + assert_eq!( + apply(&forward.ops, input), + expected, + "Q956 forward width={width} input={input}" + ); + roundtrip_states_checked += 1; + assert_eq!( + apply(&roundtrip.ops, input), + input, + "Q956 roundtrip width={width} input={input}" + ); + } + + if gate == 0 || value_pre & 1 == 0 { + reverse_states_checked += 1; + let s_post = s_pre.wrapping_sub(gate) & s_mask; + let value_post = value_pre >> gate; + let expected = (input + & !((s_mask << s_start) | (value_mask << value_start))) + | (s_post << s_start) + | (value_post << value_start); + assert_eq!( + apply(&reverse.ops, input), + expected, + "Q956 reverse width={width} input={input}" + ); + } + } + } + + for width in 1..=2usize { + let build = |roundtrip: bool| { + let mut c = Circuit::new(); + let parity = c.alloc_qreg("off-composed.parity"); + let g = c.alloc_qreg("off-composed.g"); + let s_rot = c.alloc_qreg_bits("off-composed.srot", 2); + let predicate = c.alloc_qreg("off-composed.predicate"); + let target = c.alloc_qreg_bits("off-composed.target", 2); + let value = c.alloc_qreg_bits("off-composed.value", 2); + let x = c.alloc_qreg_bits("off-composed.x", width); + let y = c.alloc_qreg_bits("off-composed.y", width); + let counter = c.alloc_qreg_bits("off-composed.counter", 2); + let target_refs: Vec<&QReg> = target.iter().collect(); + let candidates: Vec<&QReg> = x + .iter() + .chain(y.iter()) + .chain(counter.iter()) + .chain(value.iter()) + .chain(target.iter()) + .chain(std::iter::once(&predicate)) + .chain(std::iter::once(&parity)) + .chain(s_rot.iter()) + .chain(std::iter::once(&g)) + .collect(); + let emit = |c: &mut Circuit, forward: bool| { + gate_hold_counter_zero( + c, + &x, + &y, + &counter, + &parity, + &s_rot, + &g, + &candidates, + |c, active| { + let off = &counter[0]; + c.ccx(active, &predicate, off); + if forward { + rotate_one_by_off(c, &value, active, off, true, &candidates); + ctrl_inc_by_off(c, active, off, &target_refs, &candidates); + } else { + ctrl_dec_by_off(c, active, off, &target_refs, &candidates); + rotate_one_by_off(c, &value, active, off, false, &candidates); + } + c.ccx(active, &predicate, off); + }, + ); + }; + emit(&mut c, true); + if roundtrip { + emit(&mut c, false); + } + c.into_builder() + }; + + let external = 11 + 2 * width; + let forward = build(false); + let roundtrip = build(true); + for builder in [&forward, &roundtrip] { + let extra = builder.peak_qubits as usize - external; + max_composed_extra_qubits = max_composed_extra_qubits.max(extra); + assert_eq!( + extra, 0, + "width={width}: composed Q956 gate holder allocated a lane" + ); + } + + let target_start = 5; + let value_start = 7; + let x_start = 9; + let y_start = x_start + width; + let counter_start = y_start + width; + for input in 0..(1u64 << external) { + if input & 0b1110 != 0 { + continue; + } + let predicate = (input >> 4) & 1; + let target_pre = word(input, target_start, 2); + let value_pre = word(input, value_start, 2); + let x_pre = word(input, x_start, width); + let y_pre = word(input, y_start, width); + let counter_pre = word(input, counter_start, 2); + let gate = u64::from(counter_pre == 0 && x_pre < y_pre) * predicate; + if gate == 1 && value_pre >> 1 != 0 { + continue; + } + composed_states_checked += 1; + let target_post = target_pre.wrapping_add(gate) & 0b11; + let value_post = (value_pre << gate) & 0b11; + let expected = (input & !((0b11 << target_start) | (0b11 << value_start))) + | (target_post << target_start) + | (value_post << value_start); + assert_eq!( + apply(&forward.ops, input), + expected, + "Q956 composed width={width} input={input}" + ); + composed_roundtrip_states_checked += 1; + assert_eq!( + apply(&roundtrip.ops, input), + input, + "Q956 composed roundtrip width={width} input={input}" + ); + } + } + + for width in 1..=3usize { + let mut c = Circuit::new(); + let active = c.alloc_qreg("off-demux.active"); + let off = c.alloc_qreg("off-demux.borrowed"); + let s = c.alloc_qreg_bits("off-demux.s", width); + let q = c.alloc_qreg_bits("off-demux.q", 1usize << width); + let lender_regs = c.alloc_qreg_bits("off-demux.lender", width); + let lenders: Vec<&QReg> = lender_regs.iter().collect(); + let s_refs: Vec<&QReg> = s.iter().collect(); + set_bit_at_s_gated(&mut c, &q, &s_refs, &active, &off, &lenders); + let external = 2 + 2 * width + (1usize << width); + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_demux_extra_qubits = max_demux_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: Q956 demux allocated a lane"); + + let s_start = 2; + let q_start = s_start + width; + for input in 0..(1u64 << external) { + let active_pre = input & 1; + let off_pre = (input >> 1) & 1; + if active_pre == 1 && off_pre != 0 { + continue; + } + demux_states_checked += 1; + let selected = word(input, s_start, width) as usize; + let expected = input ^ (active_pre << (q_start + selected)); + assert_eq!( + apply(&builder.ops, input), + expected, + "Q956 demux width={width} input={input}" + ); + } + } + + for width in 1..=2usize { + for inverse in [false, true] { + let mut c = Circuit::new(); + let s_rot = c.alloc_qreg_bits("off-done.s", 3); + let aa = c.alloc_qreg_bits("off-done.a", width); + let qq = c.alloc_qreg_bits("off-done.q", 2); + let counter = c.alloc_qreg_bits("off-done.counter", 2); + let extra = c.alloc_qreg_bits("off-done.extra", 3); + let off = &counter[0]; + let candidates: Vec<&QReg> = aa + .iter() + .chain(qq.iter()) + .chain(counter.iter()) + .chain(extra.iter()) + .chain(s_rot.iter()) + .collect(); + done_counter_fn( + &mut c, + &aa, + &qq, + &counter, + &s_rot, + off, + &candidates, + inverse, + ); + let external = 10 + width; + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_done_extra_qubits = max_done_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: Q956 done allocated a lane"); + + let a_start = 3; + let q_start = a_start + width; + let counter_start = q_start + 2; + for input in 0..(1u64 << external) { + if input & 0b111 != 0 { + continue; + } + let a_pre = word(input, a_start, width); + let q_pre = word(input, q_start, 2); + let counter_pre = word(input, counter_start, 2); + let conv = a_pre == 0 && q_pre == 0; + if inverse { + if (counter_pre == 0) != !conv { + continue; + } + } else if (counter_pre > 0 && !conv) || (counter_pre == 3 && conv) { + continue; + } + done_states_checked += 1; + let counter_post = if inverse { + counter_pre.saturating_sub(u64::from(counter_pre > 0)) + } else { + counter_pre + u64::from(conv) + }; + let mask = 0b11u64 << counter_start; + let expected = (input & !mask) | (counter_post << counter_start); + assert_eq!( + apply(&builder.ops, input), + expected, + "Q956 done width={width} inverse={inverse} input={input}" + ); + } + } + } + + for width in 1..=2usize { + let mut c = Circuit::new(); + let parity = c.alloc_qreg("off-swap.parity"); + let s_rot = c.alloc_qreg_bits("off-swap.s", 3); + let aa = c.alloc_qreg_bits("off-swap.a", width); + let bb = c.alloc_qreg_bits("off-swap.b", width); + let cca = c.alloc_qreg_bits("off-swap.ca", width); + let ccb = c.alloc_qreg_bits("off-swap.cb", width); + let qq = c.alloc_qreg_bits("off-swap.q", width); + let counter = c.alloc_qreg_bits("off-swap.counter", 1); + let off = &counter[0]; + borrowed_swap_in_place( + &mut c, &aa, &bb, &cca, &ccb, &qq, &counter, &parity, &s_rot, off, + ); + let external = 5 + 5 * width; + let builder = c.into_builder(); + let extra = builder.peak_qubits as usize - external; + max_swap_extra_qubits = max_swap_extra_qubits.max(extra); + assert_eq!(extra, 0, "width={width}: Q956 swap allocated a lane"); + + let a_start = 4; + let b_start = a_start + width; + let ca_start = b_start + width; + let cb_start = ca_start + width; + let q_start = cb_start + width; + let counter_start = q_start + width; + let mask = (1u64 << width) - 1; + for input in 0..(1u64 << external) { + if input & 0b1110 != 0 { + continue; + } + let a_pre = word(input, a_start, width); + let b_pre = word(input, b_start, width); + let q_pre = word(input, q_start, width); + let counter_pre = word(input, counter_start, 1); + let gate = counter_pre == 0 && q_pre == 0 && a_pre != 0; + if gate && b_pre == 0 { + continue; + } + swap_states_checked += 1; + let mut expected = input; + if gate { + let ca_pre = word(input, ca_start, width); + let cb_pre = word(input, cb_start, width); + expected &= !((mask << a_start) + | (mask << b_start) + | (mask << ca_start) + | (mask << cb_start)); + expected |= b_pre << a_start; + expected |= a_pre << b_start; + expected |= cb_pre << ca_start; + expected |= ca_pre << cb_start; + expected ^= 1; + } + assert_eq!( + apply(&builder.ops, input), + expected, + "Q956 swap width={width} input={input}" + ); + } + } + + OffBorrowExhaustiveReport { + body_widths_checked: 3, + forward_states_checked, + reverse_states_checked, + roundtrip_states_checked, + composed_widths_checked: 2, + composed_states_checked, + composed_roundtrip_states_checked, + demux_widths_checked: 3, + demux_states_checked, + done_widths_checked: 2, + done_states_checked, + swap_widths_checked: 2, + swap_states_checked, + max_body_extra_qubits, + max_composed_extra_qubits, + max_demux_extra_qubits, + max_done_extra_qubits, + max_swap_extra_qubits, + } +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944CatalyticOperationFailure { + pub row: usize, + pub inverse: bool, + pub operation_index: usize, + pub phase: String, + pub operation: Op, + pub reason: &'static str, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944CatalyticStreamReport { + pub row: usize, + pub inverse: bool, + pub comparator_width: usize, + pub source_operations: usize, + pub source_x: usize, + pub source_cx: usize, + pub source_ccx: usize, + pub source_ccz: usize, + pub source_toffoli_class: usize, + pub formal_predicate_mentions: usize, + pub unconditional_template_operations: usize, + pub classified_x: usize, + pub classified_cx: usize, + pub classified_ccx: usize, + pub classified_ccz: usize, + pub classified_operations: usize, + pub unsupported_operations: usize, + pub predicate_support_target_checks: usize, + pub predicate_support_target_conflicts: usize, + pub disjoint_pair_checks: usize, + pub disjoint_pair_misses: usize, + pub projected_x: usize, + pub projected_cx: usize, + pub projected_ccx: usize, + pub projected_ccz: usize, + pub projected_operations: usize, + pub projected_toffoli_class: usize, + pub input_qubits: usize, + pub peak_qubits: usize, + pub peak_extra_qubits: usize, + pub final_active_qubits: usize, + pub first_failure: Option, + pub clean: bool, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944CatalyticBlockedSiteReport { + pub phase: &'static str, + pub direction: &'static str, + pub row: usize, + pub stream_index: usize, + pub clean: bool, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944CatalyticBlockedCensusReport { + pub rows_checked: usize, + pub streams_checked: usize, + pub sites_checked: usize, + pub clean_streams: usize, + pub blocked_streams: usize, + pub clean_sites: usize, + pub blocked_sites: usize, + pub source_operations: usize, + pub classified_operations: usize, + pub unsupported_operations: usize, + pub predicate_support_target_checks: usize, + pub predicate_support_target_conflicts: usize, + pub disjoint_pair_checks: usize, + pub disjoint_pair_misses: usize, + pub projected_operations: usize, + pub projected_toffoli_class: usize, + pub first_failure: Option, + pub streams: Vec, + pub sites: Vec, + pub exact_clean: bool, +} + +fn q944_op_mentions(op: &Op, lane: QubitId) -> bool { + op.q_target == lane || op.q_control1 == lane || op.q_control2 == lane +} + +fn q944_phase_at(builder: &B, operation_index: usize) -> String { + let mut phase = "trailmix"; + for &(index, candidate) in &builder.phase_transitions { + if index > operation_index { + break; + } + phase = candidate; + } + phase.to_owned() +} + +fn q944_accumulate_cost( + total: &mut crate::point_add::trailmix_port::inversion:: + q944_dirty_catalytic_predicate::Q944CatalyticGateCounts, + cost: crate::point_add::trailmix_port::inversion:: + q944_dirty_catalytic_predicate::Q944CatalyticGateCounts, +) { + total.x += cost.x; + total.cx += cost.cx; + total.ccx += cost.ccx; + total.ccz += cost.ccz; + total.total += cost.total; + total.toffoli_class += cost.toffoli_class; +} + +/// Emit one exact-width blocked division body with a formal clean predicate, +/// then classify the `active=1` primitive template for dirty-catalytic control. +/// This is an isolated source census; it does not rewrite the production route. +fn q944_catalytic_blocked_stream(row: usize, inverse: bool) -> Q944CatalyticStreamReport { + use crate::point_add::trailmix_port::inversion::q944_dirty_catalytic_predicate::{ + q944_catalytic_cost, q944_classify_template_op, + q944_select_catalytic_dirty_pair, Q944CatalyticGateCounts, Q944CatalyticKind, + }; + use crate::point_add::trailmix_port::inversion::q949_robust_envelope:: + q949_robust_pair_symmetric_widths; + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::shift_bounds; + + assert!([374, 375, 376, 379, 380].contains(&row)); + assert!(lowq_q945_local_hosts_enabled()); + assert!(lowq_q945_dirty_parity_arithmetic_enabled()); + assert!(lowq_q949_affine_counter_enabled()); + assert!(!lowq_q954_srot_counter7_enabled()); + + fn rb(bound: usize) -> usize { + if bound == 0 { + 1 + } else { + 64 - (bound as u64).leading_zeros() as usize + } + } + + let widths = q949_robust_pair_symmetric_widths(row); + let [lo_a, lo_b, _, _, _] = trailmix_register_los_step(row); + let (shift_bound, _) = shift_bounds(row); + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("q944.census.a", widths[0]); + let b = circ.alloc_qreg_bits("q944.census.b", widths[1]); + let ca = circ.alloc_qreg_bits("q944.census.ca", widths[2]); + let cb = circ.alloc_qreg_bits("q944.census.cb", widths[3]); + let q = circ.alloc_qreg_bits("q944.census.q", widths[4]); + let counter = circ.alloc_qreg_bits("q944.census.counter", trailmix_counter_width()); + let parity = circ.alloc_qreg("q944.census.parity"); + let s_rot = circ.alloc_qreg_bits("q944.census.srot", trailmix_srot_width()); + let formal_active = circ.alloc_qreg("q944.census.formal-active"); + assert_eq!(counter.len(), 1); + assert_eq!(s_rot.len(), 5); + let off = &counter[0]; + let extra_lenders: Vec<&QReg> = ca.iter().chain(cb.iter()).collect(); + let reverse_relational = inverse + && row == BORROWED_ROW_380 + && lowq_reverse_ca255_relational_loan_enabled(); + let transcript_loans = q945_local_hclz_loans( + row, + inverse, + BorrowedTranscriptSubstep::Division, + &a, + &b, + &ca, + &cb, + &q, + &counter, + off, + ) + .unwrap_or_else(|| { + if reverse_relational { + let loan = borrowed_transcript_loan( + row, + inverse, + BorrowedTranscriptSubstep::Division, + &a, + &ca, + &cb, + &counter, + Some(&formal_active), + ); + BorrowedTranscriptLoans::shared(loan) + } else { + BorrowedTranscriptLoans::shared(borrowed_transcript_loan( + row, + inverse, + BorrowedTranscriptSubstep::Division, + &a, + &ca, + &cb, + &counter, + None, + )) + } + }); + let q945_carry = q945_narrow_carry( + row, + Q945Substep::Division, + &a, + &b, + &ca, + &cb, + &q, + off, + &parity, + ); + let input_qubits = circ.b.active_qubits as usize; + with_arithmetic_srot_view(&s_rot, &counter, |s_rot_view| { + if inverse { + division_substep_windowed_inv( + &mut circ, + &a, + &b, + &q, + s_rot_view, + off, + &formal_active, + &extra_lenders, + lo_a, + lo_b, + rb(shift_bound), + q954_ctz_width(row), + transcript_loans, + q945_carry, + ); + } else { + division_substep_windowed( + &mut circ, + &a, + &b, + &q, + s_rot_view, + off, + &formal_active, + &extra_lenders, + lo_a, + lo_b, + rb(shift_bound), + q954_ctz_width(row), + transcript_loans, + q945_carry, + ); + } + }); + circ.flush_pending_frees(); + let final_active_qubits = circ.b.active_qubits as usize; + assert_eq!(final_active_qubits, input_qubits, "Q944 census body leaked qubits"); + + let formal_id = QubitId(u64::from(formal_active.id())); + let candidates: Vec = a + .iter() + .chain(b.iter()) + .chain(q.iter()) + .chain(s_rot.iter()) + .map(|lane| QubitId(u64::from(lane.id()))) + .collect(); + // The strict comparator computes `f = !done && (ca < cb)`. A primitive + // may use these lanes as controls, but it must not change one between the + // two predicate toggles. The parity lane is only an arbitrary dirty carry, + // so changing and restoring it is not a change to the predicate itself. + let predicate_support: Vec = ca + .iter() + .chain(cb.iter()) + .chain(counter.iter()) + .map(|lane| QubitId(u64::from(lane.id()))) + .collect(); + let forbidden: Vec = ca + .iter() + .chain(cb.iter()) + .chain(counter.iter()) + .chain(std::iter::once(&parity)) + .chain(std::iter::once(&formal_active)) + .map(|lane| QubitId(u64::from(lane.id()))) + .collect(); + let builder = circ.into_builder(); + let source_operations = builder.ops.len(); + let source_x = builder.counted_kind_ops[OperationType::X as usize]; + let source_cx = builder.counted_kind_ops[OperationType::CX as usize]; + let source_ccx = builder.counted_kind_ops[OperationType::CCX as usize]; + let source_ccz = builder.counted_kind_ops[OperationType::CCZ as usize]; + let source_toffoli_class = source_ccx + source_ccz; + let mut formal_predicate_mentions = 0usize; + let mut classified = [0usize; 4]; + let mut classified_operations = 0usize; + let mut unsupported_operations = 0usize; + let mut predicate_support_target_checks = 0usize; + let mut predicate_support_target_conflicts = 0usize; + let mut disjoint_pair_checks = 0usize; + let mut disjoint_pair_misses = 0usize; + let mut projected = Q944CatalyticGateCounts::default(); + let mut first_failure = None; + + for (operation_index, operation) in builder.ops.iter().enumerate() { + formal_predicate_mentions += usize::from(q944_op_mentions(operation, formal_id)); + match q944_classify_template_op(operation, formal_id) { + Ok(primitive) => { + classified_operations += 1; + let kind_index = match primitive.kind { + Q944CatalyticKind::X => 0, + Q944CatalyticKind::CX => 1, + Q944CatalyticKind::CCX => 2, + Q944CatalyticKind::CCZ => 3, + }; + classified[kind_index] += 1; + predicate_support_target_checks += 1; + let predicate_support_conflict = primitive.mutable_target != NO_QUBIT + && predicate_support.contains(&primitive.mutable_target); + if predicate_support_conflict { + predicate_support_target_conflicts += 1; + if first_failure.is_none() { + first_failure = Some(Q944CatalyticOperationFailure { + row, + inverse, + operation_index, + phase: q944_phase_at(&builder, operation_index), + operation: *operation, + reason: "mutable-target-overlaps-recomputed-predicate-support", + }); + } + } + disjoint_pair_checks += 1; + if q944_select_catalytic_dirty_pair(&primitive, &candidates, &forbidden).is_none() { + disjoint_pair_misses += 1; + if first_failure.is_none() { + first_failure = Some(Q944CatalyticOperationFailure { + row, + inverse, + operation_index, + phase: q944_phase_at(&builder, operation_index), + operation: *operation, + reason: "no-two-disjoint-long-lived-dirty-lanes", + }); + } + } + q944_accumulate_cost( + &mut projected, + q944_catalytic_cost(widths[2], primitive.kind), + ); + } + Err(reject) => { + unsupported_operations += 1; + if first_failure.is_none() { + first_failure = Some(Q944CatalyticOperationFailure { + row, + inverse, + operation_index, + phase: q944_phase_at(&builder, operation_index), + operation: *operation, + reason: reject.label(), + }); + } + } + } + } + let clean = unsupported_operations == 0 + && predicate_support_target_conflicts == 0 + && disjoint_pair_misses == 0; + Q944CatalyticStreamReport { + row, + inverse, + comparator_width: widths[2], + source_operations, + source_x, + source_cx, + source_ccx, + source_ccz, + source_toffoli_class, + formal_predicate_mentions, + unconditional_template_operations: source_operations - formal_predicate_mentions, + classified_x: classified[0], + classified_cx: classified[1], + classified_ccx: classified[2], + classified_ccz: classified[3], + classified_operations, + unsupported_operations, + predicate_support_target_checks, + predicate_support_target_conflicts, + disjoint_pair_checks, + disjoint_pair_misses, + projected_x: projected.x, + projected_cx: projected.cx, + projected_ccx: projected.ccx, + projected_ccz: projected.ccz, + projected_operations: projected.total, + projected_toffoli_class: projected.toffoli_class, + input_qubits, + peak_qubits: builder.peak_qubits as usize, + peak_extra_qubits: builder.peak_qubits as usize - input_qubits, + final_active_qubits, + first_failure, + clean, + } +} + +/// Exact operation-surface and dirty-lane census for the five blocked division +/// classes. Phase duplication yields the requested 20 production sites. +#[doc(hidden)] +pub fn q944_catalytic_blocked_operation_census() -> Q944CatalyticBlockedCensusReport { + const ROWS: [usize; 5] = [374, 375, 376, 379, 380]; + let mut streams = Vec::new(); + for row in ROWS { + streams.push(q944_catalytic_blocked_stream(row, false)); + streams.push(q944_catalytic_blocked_stream(row, true)); + } + let mut sites = Vec::new(); + for (stream_index, stream) in streams.iter().enumerate() { + for phase in ["ec3.inv_fwd", "ec3.alt.cancel"] { + sites.push(Q944CatalyticBlockedSiteReport { + phase, + direction: if stream.inverse { "reverse" } else { "forward" }, + row: stream.row, + stream_index, + clean: stream.clean, + }); + } + } + let clean_streams = streams.iter().filter(|stream| stream.clean).count(); + let clean_sites = sites.iter().filter(|site| site.clean).count(); + let first_failure = streams.iter().find_map(|stream| stream.first_failure.clone()); + let exact_clean = clean_streams == streams.len() && clean_sites == sites.len(); + Q944CatalyticBlockedCensusReport { + rows_checked: ROWS.len(), + streams_checked: streams.len(), + sites_checked: sites.len(), + clean_streams, + blocked_streams: streams.len() - clean_streams, + clean_sites, + blocked_sites: sites.len() - clean_sites, + source_operations: streams.iter().map(|stream| stream.source_operations).sum(), + classified_operations: streams + .iter() + .map(|stream| stream.classified_operations) + .sum(), + unsupported_operations: streams + .iter() + .map(|stream| stream.unsupported_operations) + .sum(), + predicate_support_target_checks: streams + .iter() + .map(|stream| stream.predicate_support_target_checks) + .sum(), + predicate_support_target_conflicts: streams + .iter() + .map(|stream| stream.predicate_support_target_conflicts) + .sum(), + disjoint_pair_checks: streams + .iter() + .map(|stream| stream.disjoint_pair_checks) + .sum(), + disjoint_pair_misses: streams + .iter() + .map(|stream| stream.disjoint_pair_misses) + .sum(), + projected_operations: streams + .iter() + .map(|stream| stream.projected_operations) + .sum(), + projected_toffoli_class: streams + .iter() + .map(|stream| stream.projected_toffoli_class) + .sum(), + first_failure, + streams, + sites, + exact_clean, + } +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944QuotientDependencyFailure { + pub row: usize, + pub inverse: bool, + pub operation_index: usize, + pub phase: String, + pub operation: Op, + pub reason: &'static str, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944QuotientDependencyStreamReport { + pub row: usize, + pub inverse: bool, + pub widths: [usize; 5], + pub baseline_operations: usize, + pub baseline_toffoli_class: usize, + pub baseline_input_qubits: usize, + pub baseline_peak_qubits: usize, + pub candidate_operations: usize, + pub candidate_toffoli_class: usize, + pub candidate_input_qubits: usize, + pub candidate_peak_qubits: usize, + pub candidate_peak_extra_qubits: usize, + pub candidate_final_active_qubits: usize, + pub candidate_body_start: usize, + pub candidate_body_end: usize, + pub candidate_body_q24_controls: usize, + pub candidate_body_q24_targets: usize, + pub candidate_body_predicate_support_targets: usize, + pub candidate_body_hmr: usize, + pub candidate_body_resets: usize, + pub candidate_body_phase_sensitive: usize, + pub arithmetic_operations: usize, + pub partial_demux_operations: usize, + pub crossed_operations: usize, + pub crossed_hmr: usize, + pub crossed_resets: usize, + pub crossed_phase_sensitive: usize, + pub crossed_unexpected_operations: usize, + pub row374_dirty_compare_operations: usize, + pub dirty_lenders_available: usize, + pub dirty_lenders_required: usize, + pub retained_gate_arithmetic_toffoli: usize, + pub distributed_arithmetic_toffoli: usize, + pub first_failure: Option, + pub clean: bool, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q944QuotientDependencyCensusReport { + pub rows_checked: usize, + pub streams_checked: usize, + pub sites_checked: usize, + pub clean_streams: usize, + pub blocked_streams: usize, + pub clean_sites: usize, + pub blocked_sites: usize, + pub baseline_operations: usize, + pub candidate_operations: usize, + pub baseline_toffoli_class: usize, + pub candidate_toffoli_class: usize, + pub body_q24_target_conflicts: usize, + pub crossed_noncommuting_operations: usize, + pub dirty_lender_misses: usize, + pub first_failure: Option, + pub streams: Vec, + pub exact_clean: bool, +} + +fn q944_operation_phases(builder: &B) -> Vec<&'static str> { + let mut phases = Vec::with_capacity(builder.ops.len()); + let mut current = "trailmix"; + let mut transition = 0usize; + for index in 0..builder.ops.len() { + while transition < builder.phase_transitions.len() + && builder.phase_transitions[transition].0 <= index + { + current = builder.phase_transitions[transition].1; + transition += 1; + } + phases.push(current); + } + phases +} + +fn q944_phase_sensitive(op: &Op) -> bool { + matches!( + op.kind, + OperationType::Neg | OperationType::Z | OperationType::CZ | OperationType::CCZ + ) +} + +#[allow(clippy::too_many_arguments)] +fn q944_quotient_witness_candidate_stream( + row: usize, + inverse: bool, +) -> Q944QuotientDependencyStreamReport { + use crate::point_add::trailmix_port::inversion::q944_quotient_witness::{ + q944_dirty_arithmetic_toffoli, q944_distributed_arithmetic_toffoli, + }; + use crate::point_add::trailmix_port::inversion::q949_robust_envelope:: + q949_robust_pair_symmetric_widths; + use crate::point_add::trailmix_port::inversion::shrunken_pz_schedule::shift_bounds; + + assert!([374, 375, 376, 379, 380].contains(&row)); + assert!(lowq_q945_local_hosts_enabled()); + assert!(lowq_q945_dirty_parity_arithmetic_enabled()); + assert!(lowq_q949_affine_counter_enabled()); + assert!(!lowq_q954_srot_counter7_enabled()); + + fn rb(bound: usize) -> usize { + if bound == 0 { + 1 + } else { + 64 - (bound as u64).leading_zeros() as usize + } + } + + let baseline = q944_catalytic_blocked_stream(row, inverse); + let widths = q949_robust_pair_symmetric_widths(row); + assert_eq!(widths[4], Q944_QUOTIENT_WIDTH); + let [lo_a, lo_b, _, _, _] = trailmix_register_los_step(row); + let (shift_bound, _) = shift_bounds(row); + let mut circ = Circuit::new(); + let a = circ.alloc_qreg_bits("q944.qw.census.a", widths[0]); + let b = circ.alloc_qreg_bits("q944.qw.census.b", widths[1]); + let ca = circ.alloc_qreg_bits("q944.qw.census.ca", widths[2]); + let cb = circ.alloc_qreg_bits("q944.qw.census.cb", widths[3]); + let q = circ.alloc_qreg_bits("q944.qw.census.q", widths[4]); + let counter = circ.alloc_qreg_bits("q944.qw.census.counter", trailmix_counter_width()); + let parity = circ.alloc_qreg("q944.qw.census.parity"); + let s_rot = circ.alloc_qreg_bits("q944.qw.census.srot", trailmix_srot_width()); + assert_eq!(counter.len(), 1); + assert_eq!(s_rot.len(), 5); + let off = &counter[0]; + let active = &q[Q944_QUOTIENT_SENTINEL]; + let extra_lenders: Vec<&QReg> = ca.iter().chain(cb.iter()).collect(); + let boundary_candidates: Vec<&QReg> = a + .iter() + .chain(b.iter()) + .chain(ca.iter()) + .chain(cb.iter()) + .chain(q.iter()) + .chain(counter.iter()) + .chain(s_rot.iter()) + .chain(std::iter::once(&parity)) + .chain(std::iter::once(off)) + .collect(); + let reverse_relational = inverse + && row == BORROWED_ROW_380 + && lowq_reverse_ca255_relational_loan_enabled(); + let transcript_loans = q945_local_hclz_loans( + row, + inverse, + BorrowedTranscriptSubstep::Division, + &a, + &b, + &ca, + &cb, + &q, + &counter, + off, + ) + .unwrap_or_else(|| { + if reverse_relational { + BorrowedTranscriptLoans::shared(borrowed_transcript_loan( + row, + inverse, + BorrowedTranscriptSubstep::Division, + &a, + &ca, + &cb, + &counter, + Some(active), + )) + } else { + BorrowedTranscriptLoans::shared(borrowed_transcript_loan( + row, + inverse, + BorrowedTranscriptSubstep::Division, + &a, + &ca, + &cb, + &counter, + None, + )) + } + }); + let q945_carry = q945_narrow_carry( + row, + Q945Substep::Division, + &a, + &b, + &ca, + &cb, + &q, + off, + &parity, + ); + let input_qubits = circ.b.active_qubits as usize; + let s_refs: Vec<&QReg> = s_rot.iter().collect(); + if inverse { + q944_reverse_park_sentinel(&mut circ, &q, &s_refs); + } + let mut body_start = 0usize; + let mut body_end = 0usize; + gate_hold_counter_zero( + &mut circ, + &ca, + &cb, + &counter, + &parity, + &s_rot, + active, + &boundary_candidates, + |circ, gate| { + assert!(std::ptr::eq(gate, active)); + body_start = circ.b.ops.len(); + with_arithmetic_srot_view(&s_rot, &counter, |s_rot_view| { + if inverse { + division_substep_windowed_inv_mode( + circ, + &a, + &b, + &q, + s_rot_view, + off, + gate, + &extra_lenders, + lo_a, + lo_b, + rb(shift_bound), + q954_ctz_width(row), + transcript_loans, + q945_carry, + Q944DivisionQuotientMode::QuotientWitness, + ); + } else { + division_substep_windowed_mode( + circ, + &a, + &b, + &q, + s_rot_view, + off, + gate, + &extra_lenders, + lo_a, + lo_b, + rb(shift_bound), + q954_ctz_width(row), + transcript_loans, + q945_carry, + Q944DivisionQuotientMode::QuotientWitness, + ); + } + }); + body_end = circ.b.ops.len(); + }, + ); + if !inverse { + q944_commit_parked_sentinel(&mut circ, &q, &s_refs); + } + circ.flush_pending_frees(); + let final_active_qubits = circ.b.active_qubits as usize; + assert_eq!(final_active_qubits, input_qubits); + + let active_id = QubitId(u64::from(active.id())); + let predicate_support: Vec = ca + .iter() + .chain(cb.iter()) + .chain(counter.iter()) + .map(|lane| QubitId(u64::from(lane.id()))) + .collect(); + let builder = circ.into_builder(); + let phases = q944_operation_phases(&builder); + let mut body_q24_controls = 0usize; + let mut body_q24_targets = 0usize; + let mut body_predicate_support_targets = 0usize; + let mut body_hmr = 0usize; + let mut body_resets = 0usize; + let mut body_phase_sensitive = 0usize; + let mut first_failure = None; + for index in body_start..body_end { + let op = &builder.ops[index]; + body_q24_controls += usize::from( + op.q_control1 == active_id || op.q_control2 == active_id, + ); + if op.q_target == active_id { + body_q24_targets += 1; + if first_failure.is_none() { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: index, + phase: phases[index].to_owned(), + operation: *op, + reason: "quotient-sentinel-targeted-inside-hosted-body", + }); + } + } + body_predicate_support_targets += + usize::from(predicate_support.contains(&op.q_target)); + body_hmr += usize::from(op.kind == OperationType::Hmr); + body_resets += usize::from(op.kind == OperationType::R); + body_phase_sensitive += usize::from(q944_phase_sensitive(op)); + } + + // Match only the independently proved dirty-parity arithmetic section. + // Hybrid-CLZ helpers contain unrelated nested p.add/p.sub sections and + // would otherwise make the dependency interval span the whole prelude. + let arithmetic_label = if inverse { + "/p.add/q944.dirty-carry-add" + } else { + "/p.sub/q944.dirty-carry-sub" + }; + let arithmetic_indices: Vec = phases + .iter() + .enumerate() + .filter_map(|(index, phase)| phase.contains(arithmetic_label).then_some(index)) + .collect(); + let demux_indices: Vec = phases + .iter() + .enumerate() + .filter_map(|(index, phase)| { + phase + .contains("/q944.qw.partial-demux") + .then_some(index) + }) + .collect(); + assert!(!arithmetic_indices.is_empty()); + assert!(!demux_indices.is_empty()); + let arithmetic_first = arithmetic_indices[0]; + let arithmetic_last = *arithmetic_indices.last().unwrap(); + let demux_first = demux_indices[0]; + let demux_last = *demux_indices.last().unwrap(); + let order_clean = if inverse { + arithmetic_last < demux_first + } else { + demux_last < arithmetic_first + }; + let crossed_start = arithmetic_first.min(demux_first); + let crossed_end = arithmetic_last.max(demux_last) + 1; + let mut crossed_hmr = 0usize; + let mut crossed_resets = 0usize; + let mut crossed_phase_sensitive = 0usize; + let mut crossed_unexpected_operations = 0usize; + for index in crossed_start..crossed_end { + let op = &builder.ops[index]; + crossed_hmr += usize::from(op.kind == OperationType::Hmr); + crossed_resets += usize::from(op.kind == OperationType::R); + crossed_phase_sensitive += usize::from(q944_phase_sensitive(op)); + if first_failure.is_none() + && matches!(op.kind, OperationType::Hmr | OperationType::R) + { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: index, + phase: phases[index].to_owned(), + operation: *op, + reason: "measurement-or-reset-crossed-by-quotient-reorder", + }); + } + if first_failure.is_none() && q944_phase_sensitive(op) { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: index, + phase: phases[index].to_owned(), + operation: *op, + reason: "phase-sensitive-operation-crossed-by-quotient-reorder", + }); + } + let expected = phases[index].contains(arithmetic_label) + || phases[index].contains("/q944.qw.partial-demux"); + if !expected { + crossed_unexpected_operations += 1; + if first_failure.is_none() { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: index, + phase: phases[index].to_owned(), + operation: *op, + reason: "noncommuting-operation-between-demux-and-arithmetic", + }); + } + } + } + if !order_clean && first_failure.is_none() { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: crossed_start, + phase: phases[crossed_start].to_owned(), + operation: builder.ops[crossed_start], + reason: "quotient-handoff-order-mismatch", + }); + } + let row374_dirty_compare_operations = phases + .iter() + .filter(|phase| phase.contains("q944.dirty-carry-strict-compare")) + .count(); + let row374_compare_clean = if row == 374 { + row374_dirty_compare_operations > 0 + } else { + row374_dirty_compare_operations == 0 + }; + if !row374_compare_clean && first_failure.is_none() { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: body_start, + phase: phases[body_start].to_owned(), + operation: builder.ops[body_start], + reason: "row374-q24-carry-replacement-mismatch", + }); + } + let candidate_peak_qubits = builder.peak_qubits as usize; + let peak_clean = candidate_peak_qubits + 1 == baseline.peak_qubits; + if !peak_clean && first_failure.is_none() { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: builder.peak_ops_idx, + phase: builder.peak_phase.to_owned(), + operation: builder.ops[builder.peak_ops_idx.min(builder.ops.len() - 1)], + reason: "candidate-did-not-remove-exactly-one-peak-live-qubit", + }); + } + let candidate_toffoli_class = builder.counted_kind_ops[OperationType::CCX as usize] + + builder.counted_kind_ops[OperationType::CCZ as usize]; + let dirty_lenders_available = a.len() + b.len() + ca.len() + cb.len(); + let dirty_lenders_required = Q944_SHIFT_WIDTH - 1; + let lender_clean = dirty_lenders_available >= dirty_lenders_required; + if !lender_clean && first_failure.is_none() { + first_failure = Some(Q944QuotientDependencyFailure { + row, + inverse, + operation_index: body_start, + phase: phases[body_start].to_owned(), + operation: builder.ops[body_start], + reason: "insufficient-disjoint-dirty-lenders-for-partial-demux", + }); + } + let clean = first_failure.is_none() + && body_q24_targets == 0 + && order_clean + && crossed_hmr == 0 + && crossed_resets == 0 + && crossed_phase_sensitive == 0 + && crossed_unexpected_operations == 0 + && row374_compare_clean + && peak_clean + && lender_clean; + Q944QuotientDependencyStreamReport { + row, + inverse, + widths, + baseline_operations: baseline.source_operations, + baseline_toffoli_class: baseline.source_toffoli_class, + baseline_input_qubits: baseline.input_qubits, + baseline_peak_qubits: baseline.peak_qubits, + candidate_operations: builder.ops.len(), + candidate_toffoli_class, + candidate_input_qubits: input_qubits, + candidate_peak_qubits, + candidate_peak_extra_qubits: candidate_peak_qubits - input_qubits, + candidate_final_active_qubits: final_active_qubits, + candidate_body_start: body_start, + candidate_body_end: body_end, + candidate_body_q24_controls: body_q24_controls, + candidate_body_q24_targets: body_q24_targets, + candidate_body_predicate_support_targets: body_predicate_support_targets, + candidate_body_hmr: body_hmr, + candidate_body_resets: body_resets, + candidate_body_phase_sensitive: body_phase_sensitive, + arithmetic_operations: arithmetic_indices.len(), + partial_demux_operations: demux_indices.len(), + crossed_operations: crossed_end - crossed_start, + crossed_hmr, + crossed_resets, + crossed_phase_sensitive, + crossed_unexpected_operations, + row374_dirty_compare_operations, + dirty_lenders_available, + dirty_lenders_required, + retained_gate_arithmetic_toffoli: q944_dirty_arithmetic_toffoli(widths[0]), + distributed_arithmetic_toffoli: q944_distributed_arithmetic_toffoli(widths[0]), + first_failure, + clean, + } +} + +/// Exact source-level dependency trace for the five blocked division rows in +/// both directions. The two challenge phases duplicate these ten streams into +/// the requested 20 structural sites. +#[doc(hidden)] +pub fn q944_quotient_witness_dependency_census() -> Q944QuotientDependencyCensusReport { + const ROWS: [usize; 5] = [374, 375, 376, 379, 380]; + let mut streams = Vec::new(); + for row in ROWS { + streams.push(q944_quotient_witness_candidate_stream(row, false)); + streams.push(q944_quotient_witness_candidate_stream(row, true)); + } + let clean_streams = streams.iter().filter(|stream| stream.clean).count(); + let clean_sites = 2 * clean_streams; + let first_failure = streams.iter().find_map(|stream| stream.first_failure.clone()); + let exact_clean = clean_streams == streams.len(); + Q944QuotientDependencyCensusReport { + rows_checked: ROWS.len(), + streams_checked: streams.len(), + sites_checked: 2 * streams.len(), + clean_streams, + blocked_streams: streams.len() - clean_streams, + clean_sites, + blocked_sites: 2 * streams.len() - clean_sites, + baseline_operations: streams.iter().map(|stream| stream.baseline_operations).sum(), + candidate_operations: streams.iter().map(|stream| stream.candidate_operations).sum(), + baseline_toffoli_class: streams + .iter() + .map(|stream| stream.baseline_toffoli_class) + .sum(), + candidate_toffoli_class: streams + .iter() + .map(|stream| stream.candidate_toffoli_class) + .sum(), + body_q24_target_conflicts: streams + .iter() + .map(|stream| stream.candidate_body_q24_targets) + .sum(), + crossed_noncommuting_operations: streams + .iter() + .map(|stream| { + stream.crossed_hmr + + stream.crossed_resets + + stream.crossed_phase_sensitive + + stream.crossed_unexpected_operations + }) + .sum(), + dirty_lender_misses: streams + .iter() + .filter(|stream| stream.dirty_lenders_available < stream.dirty_lenders_required) + .count(), + first_failure, + streams, + exact_clean, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q954SrotCounter7Report { + pub high_lane_differential_cases_checked: usize, + pub body_forward_cases_checked: usize, + pub body_reverse_cases_checked: usize, + pub body_roundtrip_cases_checked: usize, + pub late_inactive_cases_checked: usize, + pub passenger_cases_checked: usize, + pub passenger_release_intervals_checked: usize, + pub srot_qubits_saved: usize, + pub passenger_qubits_saved: usize, + pub max_helper_toffoli_increase: usize, +} + +/// Differentially check the borrowed high shift lane against a five-owned-lane +/// reference, including production division/multiply bodies and the late +/// inactive branch where counter[7] is one. Also exercise all canonical +/// passenger-top release intervals used by the Q954 route. +#[doc(hidden)] +pub fn q954_srot_counter7_roundtrip_check() -> Q954SrotCounter7Report { + use crate::circuit::{OperationType, QubitId}; + use crate::point_add::B; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(lowq_q954_srot_counter7_enabled()); + let certificate = q954_srot_counter7_schedule_certificate(); + assert_eq!(certificate.first_terminal_capable_row, 371); + assert_eq!(certificate.last_ctz_bit4_row, 477); + assert_eq!(certificate.last_raw_bit4_barrel_row, 495); + assert_eq!(certificate.max_pre_body_counter, 124); + assert_eq!(certificate.max_final_counter, 159); + + struct Harness { + builder: B, + registers: Vec>, + external: Vec, + } + + #[derive(Debug, Eq, PartialEq)] + struct Snapshot { + registers: Vec, + phase: u64, + internal_clean: bool, + } + + fn ids(reg: &[QReg]) -> Vec { + reg.iter().map(QReg::id).collect() + } + + fn external_ids(registers: &[Vec]) -> Vec { + let mut out = Vec::new(); + for &id in registers.iter().flatten() { + if !out.contains(&id) { + out.push(id); + } + } + out + } + + fn simulate(harness: &Harness, values: &[u64]) -> Snapshot { + assert_eq!(harness.registers.len(), values.len()); + let mut seed = Shake128::default(); + seed.update(b"q954-srot-counter7-differential"); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for (register, &value) in harness.registers.iter().zip(values) { + assert!(register.len() <= 64); + for (bit, &id) in register.iter().enumerate() { + if (value >> bit) & 1 == 1 { + *sim.qubit_mut(QubitId(u64::from(id))) |= 1; + } + } + } + sim.apply_iter(harness.builder.ops.iter()); + let registers = harness + .registers + .iter() + .map(|register| { + register.iter().enumerate().fold(0u64, |value, (bit, &id)| { + value | ((sim.qubit(QubitId(u64::from(id))) & 1) << bit) + }) + }) + .collect(); + let internal_clean = (0..harness.builder.next_qubit).all(|id| { + harness.external.contains(&id) + || sim.qubit(QubitId(u64::from(id))) & 1 == 0 + }); + Snapshot { + registers, + phase: sim.phase & 1, + internal_clean, + } + } + + fn toffoli(builder: &B) -> usize { + builder + .ops + .iter() + .filter(|op| matches!(op.kind, OperationType::CCX | OperationType::CCZ)) + .count() + } + + // mode: 0=forward, 1=reverse, 2=forward+reverse. + fn build_body(split: bool, multiply: bool, mode: u8) -> Harness { + let mut c = Circuit::new(); + let a = c.alloc_qreg_bits("q954-body.a", 20); + let b = c.alloc_qreg_bits("q954-body.b", 20); + let q = c.alloc_qreg_bits("q954-body.q", 17); + let owned = c.alloc_qreg_bits("q954-body.srot", if split { 4 } else { 5 }); + let counter = c.alloc_qreg_bits("q954-body.counter", 8); + let active = c.alloc_qreg("q954-body.active"); + let lender_regs = c.alloc_qreg_bits("q954-body.lenders", 20); + let lenders: Vec<&QReg> = lender_regs.iter().collect(); + let s_rot: Vec<&QReg> = if split { + vec![ + &owned[0], + &owned[1], + &owned[2], + &owned[3], + &counter[7], + ] + } else { + owned.iter().collect() + }; + let off = &counter[0]; + let emit = |c: &mut Circuit, inverse: bool| { + if multiply { + if inverse { + multiply_substep_windowed_inv( + c, &a, &b, &q, &s_rot, off, &active, &lenders, 0, 0, 5, 5, + BorrowedTranscriptLoans::none(), + None, + ); + } else { + multiply_substep_windowed( + c, &a, &b, &q, &s_rot, off, &active, &lenders, 0, 0, 5, 5, + BorrowedTranscriptLoans::none(), + None, + ); + } + } else if inverse { + division_substep_windowed_inv( + c, &a, &b, &q, &s_rot, off, &active, &lenders, 0, 0, 5, 5, + BorrowedTranscriptLoans::none(), + None, + ); + } else { + division_substep_windowed( + c, &a, &b, &q, &s_rot, off, &active, &lenders, 0, 0, 5, 5, + BorrowedTranscriptLoans::none(), + None, + ); + } + }; + match mode { + 0 => emit(&mut c, false), + 1 => emit(&mut c, true), + 2 => { + emit(&mut c, false); + emit(&mut c, true); + } + _ => unreachable!(), + } + + let mut s_ids = ids(&owned); + if split { + s_ids.push(counter[7].id()); + } + let registers = vec![ + ids(&a), + ids(&b), + ids(&q), + s_ids, + ids(&counter), + vec![active.id()], + ids(&lender_regs), + ]; + let external = external_ids(®isters); + Harness { + builder: c.into_builder(), + registers, + external, + } + } + + fn build_high_carry(split: bool, mode: u8) -> Harness { + let mut c = Circuit::new(); + let owned = c.alloc_qreg_bits("q954-carry.srot", if split { 4 } else { 5 }); + let counter = c.alloc_qreg_bits("q954-carry.counter", 8); + let active = c.alloc_qreg("q954-carry.active"); + let lenders = c.alloc_qreg_bits("q954-carry.lenders", 8); + let candidates: Vec<&QReg> = lenders + .iter() + .chain(owned.iter()) + .chain(counter.iter()) + .chain(std::iter::once(&active)) + .collect(); + let s_rot: Vec<&QReg> = if split { + vec![ + &owned[0], + &owned[1], + &owned[2], + &owned[3], + &counter[7], + ] + } else { + owned.iter().collect() + }; + let off = &counter[0]; + match mode { + 0 => ctrl_inc_by_off(&mut c, &active, off, &s_rot, &candidates), + 1 => ctrl_dec_by_off(&mut c, &active, off, &s_rot, &candidates), + 2 => { + ctrl_inc_by_off(&mut c, &active, off, &s_rot, &candidates); + ctrl_dec_by_off(&mut c, &active, off, &s_rot, &candidates); + } + _ => unreachable!(), + } + let mut s_ids = ids(&owned); + if split { + s_ids.push(counter[7].id()); + } + let registers = vec![s_ids, ids(&counter), vec![active.id()], ids(&lenders)]; + let external = external_ids(®isters); + Harness { + builder: c.into_builder(), + registers, + external, + } + } + + fn build_late_inactive(roundtrip: bool) -> Harness { + let mut c = Circuit::new(); + let owned = c.alloc_qreg_bits("q954-late.srot", 4); + let counter = c.alloc_qreg_bits("q954-late.counter", 8); + let parity = c.alloc_qreg("q954-late.parity"); + let gate = c.alloc_qreg("q954-late.gate"); + let x = c.alloc_qreg_bits("q954-late.x", 2); + let y = c.alloc_qreg_bits("q954-late.y", 2); + let a = c.alloc_qreg_bits("q954-late.a", 20); + let b = c.alloc_qreg_bits("q954-late.b", 20); + let q = c.alloc_qreg_bits("q954-late.q", 15); + let lenders = c.alloc_qreg_bits("q954-late.lenders", 20); + let candidates: Vec<&QReg> = owned + .iter() + .chain(counter.iter()) + .chain(std::iter::once(&parity)) + .chain(std::iter::once(&gate)) + .chain(x.iter()) + .chain(y.iter()) + .chain(a.iter()) + .chain(b.iter()) + .chain(q.iter()) + .chain(lenders.iter()) + .collect(); + let lender_refs: Vec<&QReg> = lenders.iter().collect(); + let emit = |c: &mut Circuit, inverse: bool| { + gate_hold_counter_zero( + c, + &x, + &y, + &counter, + &parity, + &owned, + &gate, + &candidates, + |c, active| { + with_arithmetic_srot_view(&owned, &counter, |s_rot| { + if inverse { + multiply_substep_windowed_inv( + c, + &a, + &b, + &q, + s_rot, + &counter[0], + active, + &lender_refs, + 0, + 0, + 4, + 4, + BorrowedTranscriptLoans::none(), + None, + ); + } else { + multiply_substep_windowed( + c, + &a, + &b, + &q, + s_rot, + &counter[0], + active, + &lender_refs, + 0, + 0, + 4, + 4, + BorrowedTranscriptLoans::none(), + None, + ); + } + }); + }, + ); + }; + emit(&mut c, false); + if roundtrip { + emit(&mut c, true); + } + let mut s_ids = ids(&owned); + s_ids.push(counter[7].id()); + let registers = vec![ + s_ids, + ids(&counter), + vec![parity.id()], + vec![gate.id()], + ids(&x), + ids(&y), + ids(&a), + ids(&b), + ids(&q), + ids(&lenders), + ]; + let external = external_ids(®isters); + Harness { + builder: c.into_builder(), + registers, + external, + } + } + + let mut high_lane_differential_cases_checked = 0usize; + let mut body_forward_cases_checked = 0usize; + let mut body_reverse_cases_checked = 0usize; + let mut body_roundtrip_cases_checked = 0usize; + let mut max_helper_toffoli_increase = 0usize; + + for multiply in [false, true] { + let pre = if multiply { + [0, 1, 1 << 16, 0, 0, 1, 0] + } else { + [1 << 16, 1, 0, 0, 0, 1, 0] + }; + let post = if multiply { + [1 << 16, 1, 0, 0, 0, 1, 0] + } else { + [0, 1, 1 << 16, 0, 0, 1, 0] + }; + for mode in 0..=2u8 { + let canonical = build_body(false, multiply, mode); + let split = build_body(true, multiply, mode); + let input = if mode == 1 { &post } else { &pre }; + let expected = if mode == 0 { &post } else { &pre }; + let canonical_out = simulate(&canonical, input); + let split_out = simulate(&split, input); + assert_eq!(canonical_out.registers, expected); + assert_eq!(split_out.registers, expected); + assert_eq!(split_out.registers, canonical_out.registers); + assert!(canonical_out.internal_clean && split_out.internal_clean); + if mode == 2 { + assert_eq!(canonical_out.phase, 0); + assert_eq!(split_out.phase, 0); + } + let canonical_t = toffoli(&canonical.builder); + let split_t = toffoli(&split.builder); + assert_eq!( + split.builder.peak_qubits + 1, + canonical.builder.peak_qubits, + "Q954 split body must remove exactly one physical shift lane" + ); + max_helper_toffoli_increase = + max_helper_toffoli_increase.max(split_t.saturating_sub(canonical_t)); + assert!( + split_t <= canonical_t, + "Q954 split body increased helper Toffoli count" + ); + match mode { + 0 => body_forward_cases_checked += 1, + 1 => body_reverse_cases_checked += 1, + 2 => body_roundtrip_cases_checked += 1, + _ => unreachable!(), + } + } + } + + for mode in 0..=2u8 { + let canonical = build_high_carry(false, mode); + let split = build_high_carry(true, mode); + let pre = [15, 1, 1, 0]; + let post_canonical = [16, 1, 1, 0]; + let post_split = [16, 129, 1, 0]; + let input_canonical = if mode == 1 { &post_canonical } else { &pre }; + let input_split = if mode == 1 { &post_split } else { &pre }; + let canonical_out = simulate(&canonical, input_canonical); + let split_out = simulate(&split, input_split); + let expected_canonical = if mode == 0 { &post_canonical } else { &pre }; + let expected_split = if mode == 0 { &post_split } else { &pre }; + assert_eq!(canonical_out.registers, expected_canonical); + assert_eq!(split_out.registers, expected_split); + assert_eq!(canonical_out.registers[0], split_out.registers[0]); + assert_eq!(canonical_out.registers[1] & 0x7f, split_out.registers[1] & 0x7f); + assert!(canonical_out.internal_clean && split_out.internal_clean); + let canonical_t = toffoli(&canonical.builder); + let split_t = toffoli(&split.builder); + assert_eq!( + split.builder.peak_qubits + 1, + canonical.builder.peak_qubits, + "Q954 split carry must remove exactly one physical shift lane" + ); + max_helper_toffoli_increase = + max_helper_toffoli_increase.max(split_t.saturating_sub(canonical_t)); + assert!(split_t <= canonical_t, "Q954 split carry increased Toffoli count"); + high_lane_differential_cases_checked += 1; + } + + let late_values = [16, 128, 1, 0, 0, 1, 3, 1, 8, 0]; + let late_forward = build_late_inactive(false); + let late_roundtrip = build_late_inactive(true); + for (case, harness) in [&late_forward, &late_roundtrip].into_iter().enumerate() { + let out = simulate(harness, &late_values); + assert_eq!(out.registers, late_values); + assert_eq!(out.registers[0], 16, "late counter[7] alias was not restored"); + assert_eq!(out.registers[1], 128, "late counter changed"); + assert!(out.internal_clean, "late inactive body retained an ancilla"); + if case == 1 { + assert_eq!(out.phase, 0); + } + } + + // Canonical passenger lifetime proof: three production intervals (divide + // forward, cancel forward, cancel reverse), each removing exactly one lane. + let mut c = Circuit::new(); + let mut passenger = c.alloc_qreg_bits("q954-passenger", 257); + let lower_ids = ids(&passenger[..64]); + let all_lower_ids = ids(&passenger[..256]); + let original_top_id = passenger[256].id(); + let witness = c.alloc_qreg("q954-passenger.top-witness"); + let live_before = c.b.active_qubits as usize; + for interval in 0..3 { + let context = match interval { + 0 => "proof divide-forward", + 1 => "proof cancel-forward", + _ => "proof cancel-reverse", + }; + c.cx(&passenger[256], &witness); + let released = release_canonical_passenger_top( + &mut c, + &mut passenger, + context, + ); + assert_eq!(released.physical_id(), original_top_id); + let workspace = c.alloc_qreg_bits("q954-passenger.workspace", 7); + assert!(workspace.iter().all(|lane| lane.id() != original_top_id)); + assert_eq!( + c.b.active_qubits as usize, + live_before - 1 + workspace.len(), + "Q954 passenger interval did not save exactly one lane" + ); + for lane in workspace { + c.zero_and_free(lane); + } + restore_canonical_passenger_top(&mut c, &mut passenger, released, context); + assert_eq!(passenger[256].id(), original_top_id); + assert_eq!(c.b.active_qubits as usize, live_before); + } + let final_top_id = passenger[256].id(); + let registers = vec![lower_ids, vec![final_top_id], vec![witness.id()]]; + let mut external = all_lower_ids; + external.push(final_top_id); + external.push(witness.id()); + let passenger_harness = Harness { + builder: c.into_builder(), + registers, + external, + }; + let mut passenger_cases_checked = 0usize; + for value in [0, 1, 2, 3, u64::MAX, 0x0123_4567_89ab_cdef] { + let out = simulate(&passenger_harness, &[value, 0, 0]); + assert_eq!(out.registers, [value, 0, 0]); + assert!(out.internal_clean); + passenger_cases_checked += 1; + } + + assert_eq!(max_helper_toffoli_increase, 0); + Q954SrotCounter7Report { + high_lane_differential_cases_checked, + body_forward_cases_checked, + body_reverse_cases_checked, + body_roundtrip_cases_checked, + late_inactive_cases_checked: 2, + passenger_cases_checked, + passenger_release_intervals_checked: 3, + srot_qubits_saved: 1, + passenger_qubits_saved: 1, + max_helper_toffoli_increase, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct BorrowedTranscriptHelperReport { + pub logical_transcript_lanes: usize, + pub owned_transcript_lanes: usize, + pub preterminal_lease_sites: usize, + pub row_379_lease_sites: usize, + pub row_380_lease_sites: usize, + pub reverse_ca_relational_lease_enabled: bool, + pub active_cases_checked: usize, + pub inactive_cases_checked: usize, + pub high_branch_cases_checked: usize, + pub roundtrip_cases_checked: usize, + pub phase_cleanup_cases_checked: usize, + pub ancilla_cleanup_cases_checked: usize, + pub borrowed_lane_restoration_cases_checked: usize, + pub baseline_peak_qubits: usize, + pub borrowed_peak_qubits: usize, + pub single_reset_savings: usize, + pub roundtrip_reset_savings: usize, +} + +/// Differential gate-level check for a seven-bit CLZ transcript backed by six +/// owned lanes and one clean lender. The harness covers active and inactive +/// branches, exercises the distance-64 branch, checks a forward-forward +/// roundtrip, and compares every non-reset operation kind with the owned-only +/// implementation. +#[doc(hidden)] +pub fn borrowed_transcript_roundtrip_check() -> BorrowedTranscriptHelperReport { + use crate::circuit::{OperationType, QubitId}; + use crate::point_add::B; + use crate::sim::Simulator; + use sha3::{digest::{ExtendableOutput, Update}, Shake128}; + + assert!(lowq_borrowed_transcript_experiment_enabled()); + assert_borrowed_transcript_lender_certificate(); + + struct Harness { + builder: B, + active: u32, + out: u32, + lender: u32, + a: Vec, + b: Vec, + external: Vec, + } + + #[derive(Clone, Copy)] + struct Exercise { + active_cases: usize, + inactive_cases: usize, + high_branch_cases: usize, + phase_cases: usize, + ancilla_cases: usize, + lender_cases: usize, + } + + fn ids(reg: &[QReg]) -> Vec { + reg.iter().map(QReg::id).collect() + } + + fn build(borrowed: bool, roundtrip: bool) -> Harness { + let mut c = Circuit::new(); + let active = c.alloc_qreg("borrowed-transcript.active"); + let out = c.alloc_qreg("borrowed-transcript.out"); + let lender = c.alloc_qreg("borrowed-transcript.lender"); + let a = c.alloc_qreg_bits("borrowed-transcript.a", 72); + let b = c.alloc_qreg_bits("borrowed-transcript.b", 72); + let loan = borrowed.then_some(BorrowedTranscriptLoan { + lane: &lender, + kind: BorrowedTranscriptLoanKind::ProofHarness, + row: BORROWED_ROW_380, + inverse: false, + substep: BorrowedTranscriptSubstep::Division, + preparation: BorrowedTranscriptPreparation::AlreadyZero, + }); + hybrid_bitlen_diff_parity(&mut c, &a, &b, 0, 0, &out, &active, loan); + if roundtrip { + hybrid_bitlen_diff_parity(&mut c, &a, &b, 0, 0, &out, &active, loan); + } + let a_ids = ids(&a); + let b_ids = ids(&b); + let external: Vec = [active.id(), out.id(), lender.id()] + .into_iter() + .chain(a_ids.iter().copied()) + .chain(b_ids.iter().copied()) + .collect(); + Harness { + builder: c.into_builder(), + active: active.id(), + out: out.id(), + lender: lender.id(), + a: a_ids, + b: b_ids, + external, + } + } + + fn exercise(harness: &Harness, roundtrip: bool) -> Exercise { + let mut seed = Shake128::default(); + let domain: &[u8] = if roundtrip { + b"borrowed-transcript-roundtrip" + } else { + b"borrowed-transcript-forward" + }; + seed.update(domain); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + let mut expected_active = 0u64; + let mut expected_out = 0u64; + let mut expected_a = vec![0u64; harness.a.len()]; + let mut expected_b = vec![0u64; harness.b.len()]; + let mut active_cases = 0usize; + let mut inactive_cases = 0usize; + let mut high_branch_cases = 0usize; + + for shot in 0..64usize { + let a_bit = if shot < 8 { shot } else { (13 * shot + 5) % 72 }; + let b_bit = if (8..16).contains(&shot) { + shot - 8 + } else { + (17 * shot + 9) % 72 + }; + let active = shot & 1 == 1; + let out_before = shot & 2 == 2; + let parity = (a_bit ^ b_bit) & 1 == 1; + let out_after = if roundtrip { + out_before + } else { + out_before ^ (active && parity) + }; + if active { + expected_active |= 1u64 << shot; + active_cases += 1; + } else { + inactive_cases += 1; + } + if out_before { + *sim.qubit_mut(QubitId(u64::from(harness.out))) |= 1u64 << shot; + } + if out_after { + expected_out |= 1u64 << shot; + } + if active { + *sim.qubit_mut(QubitId(u64::from(harness.active))) |= 1u64 << shot; + } + *sim.qubit_mut(QubitId(u64::from(harness.a[a_bit]))) |= 1u64 << shot; + *sim.qubit_mut(QubitId(u64::from(harness.b[b_bit]))) |= 1u64 << shot; + expected_a[a_bit] |= 1u64 << shot; + expected_b[b_bit] |= 1u64 << shot; + if a_bit < 8 || b_bit < 8 { + high_branch_cases += 1; + } + } + + sim.apply_iter(harness.builder.ops.iter()); + assert_eq!(sim.qubit(QubitId(u64::from(harness.active))), expected_active); + assert_eq!(sim.qubit(QubitId(u64::from(harness.out))), expected_out); + assert_eq!( + sim.qubit(QubitId(u64::from(harness.lender))), + 0, + "borrowed transcript lane was not restored" + ); + for (index, &id) in harness.a.iter().enumerate() { + assert_eq!(sim.qubit(QubitId(u64::from(id))), expected_a[index]); + } + for (index, &id) in harness.b.iter().enumerate() { + assert_eq!(sim.qubit(QubitId(u64::from(id))), expected_b[index]); + } + assert_eq!(sim.phase, 0, "borrowed transcript left phase garbage"); + for id in 0..harness.builder.next_qubit { + if !harness.external.contains(&id) { + assert_eq!( + sim.qubit(QubitId(u64::from(id))), + 0, + "borrowed transcript left internal q{id} dirty" + ); + } + } + Exercise { + active_cases, + inactive_cases, + high_branch_cases, + phase_cases: 64, + ancilla_cases: 64, + lender_cases: 64, + } + } + + let owned_forward = build(false, false); + let borrowed_forward = build(true, false); + let owned_roundtrip = build(false, true); + let borrowed_roundtrip = build(true, true); + let exercises = [ + exercise(&owned_forward, false), + exercise(&borrowed_forward, false), + exercise(&owned_roundtrip, true), + exercise(&borrowed_roundtrip, true), + ]; + + for (owned, borrowed, expected_reset_savings) in [ + (&owned_forward.builder, &borrowed_forward.builder, 1usize), + (&owned_roundtrip.builder, &borrowed_roundtrip.builder, 2usize), + ] { + assert_eq!( + owned.peak_qubits, + borrowed.peak_qubits + 1, + "borrowed transcript lease did not save exactly one helper lane" + ); + for kind in 0..owned.counted_kind_ops.len() { + if kind == OperationType::R as usize { + continue; + } + assert_eq!( + owned.counted_kind_ops[kind], borrowed.counted_kind_ops[kind], + "borrowed transcript lease changed operation kind {kind}" + ); + } + assert_eq!( + owned.counted_kind_ops[OperationType::R as usize], + borrowed.counted_kind_ops[OperationType::R as usize] + expected_reset_savings, + "borrowed transcript reset savings drift" + ); + } + + let phase_cleanup_cases_checked = exercises.iter().map(|e| e.phase_cases).sum(); + let ancilla_cleanup_cases_checked = exercises.iter().map(|e| e.ancilla_cases).sum(); + let borrowed_lane_restoration_cases_checked = + exercises[1].lender_cases + exercises[3].lender_cases; + assert!(exercises[1].high_branch_cases > 0); + + BorrowedTranscriptHelperReport { + logical_transcript_lanes: BORROWED_TRANSCRIPT_LOGICAL_WIDTH, + owned_transcript_lanes: BORROWED_TRANSCRIPT_LOGICAL_WIDTH - 1, + preterminal_lease_sites: Q949_FIRST_TERMINAL_ROW * 2 * 2, + row_379_lease_sites: 2, + row_380_lease_sites: 1, + reverse_ca_relational_lease_enabled: false, + active_cases_checked: exercises[1].active_cases, + inactive_cases_checked: exercises[1].inactive_cases, + high_branch_cases_checked: exercises[1].high_branch_cases, + roundtrip_cases_checked: 64, + phase_cleanup_cases_checked, + ancilla_cleanup_cases_checked, + borrowed_lane_restoration_cases_checked, + baseline_peak_qubits: owned_forward.builder.peak_qubits as usize, + borrowed_peak_qubits: borrowed_forward.builder.peak_qubits as usize, + single_reset_savings: 1, + roundtrip_reset_savings: 2, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct ReverseCa255RelationalLoanReport { + pub relation_states_checked: usize, + pub active_cases_checked: usize, + pub inactive_cases_checked: usize, + pub roundtrip_cases_checked: usize, + pub phase_cleanup_cases_checked: usize, + pub ancilla_cleanup_cases_checked: usize, + pub lender_restoration_cases_checked: usize, + pub baseline_peak_qubits: usize, + pub relational_peak_qubits: usize, + pub single_x_overhead: usize, + pub single_cx_overhead: usize, + pub roundtrip_x_overhead: usize, + pub roundtrip_cx_overhead: usize, +} + +/// Exhaustive gate-level check of the two-state relation +/// `lender = NOT(active_and_ca_lt_cb)`. The live division predicate is the +/// relation control. X/CX normalization acquires a zero lane, the hybrid CLZ +/// body restores it, and the inverse normalization restores the relation. +#[doc(hidden)] +pub fn reverse_ca255_relational_loan_roundtrip_check() -> ReverseCa255RelationalLoanReport { + use crate::circuit::{OperationType, QubitId}; + use crate::point_add::B; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(lowq_reverse_ca255_relational_loan_enabled()); + assert_borrowed_transcript_lender_certificate(); + + struct Harness { + builder: B, + relation_control: u32, + out: u32, + lender: u32, + a: Vec, + b: Vec, + external: Vec, + } + + fn ids(reg: &[QReg]) -> Vec { + reg.iter().map(QReg::id).collect() + } + + fn build(relational: bool, roundtrip: bool) -> Harness { + let mut c = Circuit::new(); + let relation_control = c.alloc_qreg("reverse-ca255.relation-control"); + let out = c.alloc_qreg("reverse-ca255.out"); + let lender = c.alloc_qreg("reverse-ca255.lender"); + let a = c.alloc_qreg_bits("reverse-ca255.a", 72); + let b = c.alloc_qreg_bits("reverse-ca255.b", 72); + let loan = relational.then_some(BorrowedTranscriptLoan { + lane: &lender, + kind: BorrowedTranscriptLoanKind::Row380ReverseCaHigh, + row: BORROWED_ROW_380, + inverse: true, + substep: BorrowedTranscriptSubstep::Division, + preparation: BorrowedTranscriptPreparation::ComplementOf(&relation_control), + }); + hybrid_bitlen_diff_parity( + &mut c, + &a, + &b, + 0, + 0, + &out, + &relation_control, + loan, + ); + if roundtrip { + hybrid_bitlen_diff_parity( + &mut c, + &a, + &b, + 0, + 0, + &out, + &relation_control, + loan, + ); + } + let a_ids = ids(&a); + let b_ids = ids(&b); + let external: Vec = [relation_control.id(), out.id(), lender.id()] + .into_iter() + .chain(a_ids.iter().copied()) + .chain(b_ids.iter().copied()) + .collect(); + Harness { + builder: c.into_builder(), + relation_control: relation_control.id(), + out: out.id(), + lender: lender.id(), + a: a_ids, + b: b_ids, + external, + } + } + + fn exercise(harness: &Harness, roundtrip: bool) { + let mut seed = Shake128::default(); + let domain: &[u8] = if roundtrip { + b"reverse-ca255-relational-roundtrip" + } else { + b"reverse-ca255-relational-forward" + }; + seed.update(domain); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + let mut expected_control = 0u64; + let mut expected_out = 0u64; + let mut expected_lender = 0u64; + let mut expected_a = vec![0u64; harness.a.len()]; + let mut expected_b = vec![0u64; harness.b.len()]; + for shot in 0..64usize { + let active = shot & 1 == 1; + let out_before = shot & 2 == 2; + let a_bit = (13 * shot + 5) % 72; + let b_bit = (17 * shot + 9) % 72; + let parity = (a_bit ^ b_bit) & 1 == 1; + let out_after = if roundtrip { + out_before + } else { + out_before ^ (active && parity) + }; + if active { + expected_control |= 1u64 << shot; + *sim.qubit_mut(QubitId(u64::from(harness.relation_control))) |= 1u64 << shot; + } else { + expected_lender |= 1u64 << shot; + *sim.qubit_mut(QubitId(u64::from(harness.lender))) |= 1u64 << shot; + } + if out_before { + *sim.qubit_mut(QubitId(u64::from(harness.out))) |= 1u64 << shot; + } + if out_after { + expected_out |= 1u64 << shot; + } + *sim.qubit_mut(QubitId(u64::from(harness.a[a_bit]))) |= 1u64 << shot; + *sim.qubit_mut(QubitId(u64::from(harness.b[b_bit]))) |= 1u64 << shot; + expected_a[a_bit] |= 1u64 << shot; + expected_b[b_bit] |= 1u64 << shot; + } + + sim.apply_iter(harness.builder.ops.iter()); + assert_eq!( + sim.qubit(QubitId(u64::from(harness.relation_control))), + expected_control + ); + assert_eq!(sim.qubit(QubitId(u64::from(harness.out))), expected_out); + assert_eq!( + sim.qubit(QubitId(u64::from(harness.lender))), + expected_lender, + "reverse ca[255] relation was not restored" + ); + for (index, &id) in harness.a.iter().enumerate() { + assert_eq!(sim.qubit(QubitId(u64::from(id))), expected_a[index]); + } + for (index, &id) in harness.b.iter().enumerate() { + assert_eq!(sim.qubit(QubitId(u64::from(id))), expected_b[index]); + } + assert_eq!(sim.phase, 0, "reverse ca[255] loan left phase garbage"); + for id in 0..harness.builder.next_qubit { + if !harness.external.contains(&id) { + assert_eq!( + sim.qubit(QubitId(u64::from(id))), + 0, + "reverse ca[255] loan left internal q{id} dirty" + ); + } + } + } + + let owned_forward = build(false, false); + let relational_forward = build(true, false); + let owned_roundtrip = build(false, true); + let relational_roundtrip = build(true, true); + exercise(&owned_forward, false); + exercise(&relational_forward, false); + exercise(&owned_roundtrip, true); + exercise(&relational_roundtrip, true); + + let operation_delta = |kind: OperationType, owned: &B, relational: &B| { + relational.counted_kind_ops[kind as usize] as isize + - owned.counted_kind_ops[kind as usize] as isize + }; + for (owned, relational, repetitions) in [ + (&owned_forward.builder, &relational_forward.builder, 1usize), + (&owned_roundtrip.builder, &relational_roundtrip.builder, 2usize), + ] { + assert_eq!(owned.peak_qubits, relational.peak_qubits + 1); + assert_eq!(operation_delta(OperationType::X, owned, relational), (2 * repetitions) as isize); + assert_eq!(operation_delta(OperationType::CX, owned, relational), (2 * repetitions) as isize); + assert_eq!(operation_delta(OperationType::R, owned, relational), -(repetitions as isize)); + for kind in 0..owned.counted_kind_ops.len() { + if matches!(kind, x if x == OperationType::X as usize || x == OperationType::CX as usize || x == OperationType::R as usize) { + continue; + } + assert_eq!(owned.counted_kind_ops[kind], relational.counted_kind_ops[kind]); + } + } + + ReverseCa255RelationalLoanReport { + relation_states_checked: 2, + active_cases_checked: 32, + inactive_cases_checked: 32, + roundtrip_cases_checked: 64, + phase_cleanup_cases_checked: 2 * 64, + ancilla_cleanup_cases_checked: 2 * 64, + lender_restoration_cases_checked: 2 * 64, + baseline_peak_qubits: owned_forward.builder.peak_qubits as usize, + relational_peak_qubits: relational_forward.builder.peak_qubits as usize, + single_x_overhead: 2, + single_cx_overhead: 2, + roundtrip_x_overhead: 4, + roundtrip_cx_overhead: 4, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct PassengerTopLifetimeHelperReport { + pub canonical_cases_checked: usize, + pub canonical_zero_observations_checked: usize, + pub noncanonical_witness_cases_checked: usize, + pub release_intervals_checked: usize, + pub forward_intervals_checked: usize, + pub reverse_intervals_checked: usize, + pub cancel_symmetric_pairs_checked: usize, + pub physical_id_reacquisitions_checked: usize, + pub reserved_id_nonreuse_checks: usize, + pub passenger_release_reset_ops: usize, + pub emitted_toffoli: usize, + pub emitted_hmr: usize, + pub phase_cleanup_cases_checked: usize, + pub ancilla_cleanup_cases_checked: usize, + pub initial_active_qubits: usize, + pub final_active_qubits: usize, +} + +/// Focused structural proof for the three production passenger intervals. The +/// canonical representation supplies a zero 257th lane; a witness observes that +/// precondition before every release, while a noncanonical control case proves +/// the witness is live. Each restore must reacquire the original physical ID, +/// and a probe allocation confirms the reserved ID cannot be reused meanwhile. +#[doc(hidden)] +pub fn passenger_top_lifetime_roundtrip_check() -> PassengerTopLifetimeHelperReport { + use crate::circuit::{OperationType, QubitId}; + use crate::point_add::B; + use crate::sim::Simulator; + use sha3::{ + digest::{ExtendableOutput, Update}, + Shake128, + }; + + assert!(lowq_passenger_top_lifetime_experiment_enabled()); + assert!(!lowq_q954_srot_counter7_enabled()); + + struct Harness { + builder: B, + registers: Vec>, + external: Vec, + } + + #[derive(Debug, Eq, PartialEq)] + struct Snapshot { + registers: Vec, + phase: u64, + internal_clean: bool, + } + + fn ids(reg: &[QReg]) -> Vec { + reg.iter().map(QReg::id).collect() + } + + fn simulate(harness: &Harness, values: &[u64]) -> Snapshot { + assert_eq!(harness.registers.len(), values.len()); + let mut seed = Shake128::default(); + seed.update(b"passenger-top-lifetime-proof"); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for (register, &value) in harness.registers.iter().zip(values) { + assert!(register.len() <= 64); + for (bit, &id) in register.iter().enumerate() { + if (value >> bit) & 1 == 1 { + *sim.qubit_mut(QubitId(u64::from(id))) |= 1; + } + } + } + sim.apply_iter(harness.builder.ops.iter()); + let registers = harness + .registers + .iter() + .map(|register| { + register.iter().enumerate().fold(0u64, |value, (bit, &id)| { + value | ((sim.qubit(QubitId(u64::from(id))) & 1) << bit) + }) + }) + .collect(); + let internal_clean = (0..harness.builder.next_qubit).all(|id| { + harness.external.contains(&id) || sim.qubit(QubitId(u64::from(id))) == 0 + }); + Snapshot { + registers, + phase: sim.phase, + internal_clean, + } + } + + let intervals = [ + ("proof divide-forward", false), + ("proof cancel-forward", false), + ("proof cancel-reverse", true), + ]; + let mut c = Circuit::new(); + let mut passenger = c.alloc_qreg_bits("passenger-top", 257); + let all_passenger_ids = ids(&passenger); + let lower_ids = ids(&passenger[..64]); + let original_top_id = passenger[256].id(); + let witness = c.alloc_qreg("passenger-top.top-zero-witness"); + let initial_active_qubits = c.b.active_qubits as usize; + let mut forward_intervals_checked = 0usize; + let mut reverse_intervals_checked = 0usize; + let mut physical_id_reacquisitions_checked = 0usize; + let mut reserved_id_nonreuse_checks = 0usize; + let mut passenger_release_reset_ops = 0usize; + + for (context, inverse) in intervals { + c.cx(&passenger[256], &witness); + let resets_before = c.b.counted_kind_ops[OperationType::R as usize]; + let released = release_canonical_passenger_top(&mut c, &mut passenger, context); + passenger_release_reset_ops += + c.b.counted_kind_ops[OperationType::R as usize] - resets_before; + assert_eq!(released.physical_id(), original_top_id); + + let probe = c.alloc_qreg("passenger-top.reservation-probe"); + assert_ne!( + probe.id(), + original_top_id, + "reserved passenger ID was reused before restore" + ); + reserved_id_nonreuse_checks += 1; + c.zero_and_free(probe); + + restore_canonical_passenger_top(&mut c, &mut passenger, released, context); + assert_eq!(passenger[256].id(), original_top_id); + assert_eq!(c.b.active_qubits as usize, initial_active_qubits); + physical_id_reacquisitions_checked += 1; + if inverse { + reverse_intervals_checked += 1; + } else { + forward_intervals_checked += 1; + } + } + + assert_eq!(forward_intervals_checked, 2); + assert_eq!(reverse_intervals_checked, 1); + assert_eq!(passenger_release_reset_ops, intervals.len()); + let final_active_qubits = c.b.active_qubits as usize; + assert_eq!(final_active_qubits, initial_active_qubits); + let final_top_id = passenger[256].id(); + let registers = vec![lower_ids, vec![final_top_id], vec![witness.id()]]; + let mut external = all_passenger_ids; + external.push(witness.id()); + let harness = Harness { + builder: c.into_builder(), + registers, + external, + }; + let emitted_toffoli = harness.builder.counted_kind_ops[OperationType::CCX as usize] + + harness.builder.counted_kind_ops[OperationType::CCZ as usize]; + let emitted_hmr = harness.builder.counted_kind_ops[OperationType::Hmr as usize]; + assert_eq!(emitted_toffoli, 0); + assert_eq!(emitted_hmr, 0); + + let canonical_values = [0, 1, 2, 3, u64::MAX, 0x0123_4567_89ab_cdef]; + let mut phase_cleanup_cases_checked = 0usize; + let mut ancilla_cleanup_cases_checked = 0usize; + for value in canonical_values { + let out = simulate(&harness, &[value, 0, 0]); + assert_eq!(out.registers, [value, 0, 0]); + assert_eq!(out.phase, 0); + assert!(out.internal_clean); + phase_cleanup_cases_checked += 1; + ancilla_cleanup_cases_checked += 1; + } + let noncanonical = simulate(&harness, &[0, 1, 0]); + assert_eq!(noncanonical.registers, [0, 0, 1]); + assert!(noncanonical.internal_clean); + + PassengerTopLifetimeHelperReport { + canonical_cases_checked: canonical_values.len(), + canonical_zero_observations_checked: canonical_values.len() * intervals.len(), + noncanonical_witness_cases_checked: 1, + release_intervals_checked: intervals.len(), + forward_intervals_checked, + reverse_intervals_checked, + cancel_symmetric_pairs_checked: 1, + physical_id_reacquisitions_checked, + reserved_id_nonreuse_checks, + passenger_release_reset_ops, + emitted_toffoli, + emitted_hmr, + phase_cleanup_cases_checked, + ancilla_cleanup_cases_checked, + initial_active_qubits, + final_active_qubits, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949AffineCounterReport { + pub algebra_cases_checked: usize, + pub update_forward_cases_checked: usize, + pub update_reverse_cases_checked: usize, + pub update_roundtrip_cases_checked: usize, + pub export_cases_checked: usize, + pub import_cases_checked: usize, + pub export_import_roundtrip_cases_checked: usize, + pub dirty_lender_patterns_checked: usize, + pub phase_cleanup_cases_checked: usize, + pub ancilla_cleanup_cases_checked: usize, + pub max_counter_checked: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q946AffineOffOwnershipReport { + pub forward_states_checked: usize, + pub reverse_states_checked: usize, + pub roundtrip_states_checked: usize, + pub active_clean_alias_cases_checked: usize, + pub inactive_dirty_alias_cases_checked: usize, + pub maximum_count_checked: usize, +} + +/// Exhaustively compose the affine `done` encoding with the off-borrow support +/// contract. The shared lane may be one only after convergence, where every +/// body read is masked off by `active = (done == 0)`. +#[doc(hidden)] +pub fn q946_affine_off_ownership_roundtrip_check() -> Q946AffineOffOwnershipReport { + assert!(q946_second_ownership_release_requested()); + assert!(lowq_q956_off_borrow_enabled()); + assert!(lowq_q949_affine_counter_enabled()); + + let mut forward_states_checked = 0usize; + let mut reverse_states_checked = 0usize; + let mut roundtrip_states_checked = 0usize; + let mut active_clean_alias_cases_checked = 0usize; + let mut inactive_dirty_alias_cases_checked = 0usize; + for terminal in [false, true] { + for count in 0..=158usize { + let done = count != 0; + let active = !done; + assert!(!active || !done, "active body sees dirty affine/off alias"); + if active { + active_clean_alias_cases_checked += 1; + } else { + inactive_dirty_alias_cases_checked += 1; + } + + let transition = terminal && count == 0; + let done_after = done ^ transition; + let count_after = count + usize::from(done_after); + assert!(count_after <= 159); + forward_states_checked += 1; + + let restored_count = count_after - usize::from(done_after); + let restored_done = done_after ^ (terminal && restored_count == 0); + assert_eq!(restored_count, count); + assert_eq!(restored_done, done); + let reverse_active = !restored_done; + assert!( + !reverse_active || !restored_done, + "reverse active body sees dirty affine/off alias" + ); + reverse_states_checked += 1; + roundtrip_states_checked += 1; + } + } + assert_eq!(active_clean_alias_cases_checked, 2); + assert_eq!(inactive_dirty_alias_cases_checked, 2 * 158); + Q946AffineOffOwnershipReport { + forward_states_checked, + reverse_states_checked, + roundtrip_states_checked, + active_clean_alias_cases_checked, + inactive_dirty_alias_cases_checked, + maximum_count_checked: 159, + } +} + +/// Exhaustive algebra plus emitted gate-level checks for the affine terminal +/// update and its export/import ownership boundary. Dirty lenders cover every +/// value of an eight-bit projection; every circuit also checks phase and all +/// non-interface ancillas. +#[doc(hidden)] +pub fn q949_affine_counter_roundtrip_check() -> Q949AffineCounterReport { + use crate::circuit::QubitId; + use crate::point_add::B; + use crate::sim::Simulator; + use sha3::{digest::{ExtendableOutput, Update}, Shake128}; + + assert!(lowq_q949_affine_counter_enabled()); + + #[derive(Clone, Copy)] + enum HarnessKind { + UpdateForward, + UpdateReverse, + UpdateRoundtrip, + Export, + Import, + ExportImport, + } + + struct Harness { + builder: B, + registers: Vec>, + external: Vec, + } + + #[derive(Debug, Eq, PartialEq)] + struct Snapshot { + registers: Vec, + phase: u64, + internal_clean: bool, + } + + fn ids(register: &[QReg]) -> Vec { + register.iter().map(QReg::id).collect() + } + + fn build(kind: HarnessKind) -> Harness { + let mut c = Circuit::new(); + let aa = c.alloc_qreg_bits("q949-proof.a", 2); + let qq = c.alloc_qreg_bits("q949-proof.q", 2); + let ca = c.alloc_qreg_bits("q949-proof.ca", Q949_AFFINE_COUNTER_WIDTH); + let done = c.alloc_qreg("q949-proof.done"); + let saved = c.alloc_qreg_bits("q949-proof.saved", Q949_AFFINE_COUNTER_WIDTH); + let lenders = c.alloc_qreg_bits("q949-proof.lenders", 24); + let candidates: Vec<&QReg> = aa + .iter() + .chain(qq.iter()) + .chain(ca.iter()) + .chain(saved.iter()) + .chain(lenders.iter()) + .chain(std::iter::once(&done)) + .collect(); + match kind { + HarnessKind::UpdateForward => { + q949_affine_counter_update(&mut c, &aa, &qq, &ca, &done, &candidates, false); + } + HarnessKind::UpdateReverse => { + q949_affine_counter_update(&mut c, &aa, &qq, &ca, &done, &candidates, true); + } + HarnessKind::UpdateRoundtrip => { + q949_affine_counter_update(&mut c, &aa, &qq, &ca, &done, &candidates, false); + q949_affine_counter_update(&mut c, &aa, &qq, &ca, &done, &candidates, true); + } + HarnessKind::Export => { + q949_counter_export_core(&mut c, &ca, &done, &saved, &candidates); + } + HarnessKind::Import => { + q949_counter_import_core(&mut c, &ca, &done, &saved, &candidates); + } + HarnessKind::ExportImport => { + q949_counter_export_core(&mut c, &ca, &done, &saved, &candidates); + q949_counter_import_core(&mut c, &ca, &done, &saved, &candidates); + } + } + let registers = vec![ + ids(&aa), + ids(&qq), + ids(&ca), + vec![done.id()], + ids(&saved), + ids(&lenders), + ]; + let external = registers.iter().flatten().copied().collect(); + Harness { + builder: c.into_builder(), + registers, + external, + } + } + + fn simulate(harness: &Harness, values: &[u64]) -> Snapshot { + assert_eq!(harness.registers.len(), values.len()); + let mut seed = Shake128::default(); + seed.update(b"q949-affine-counter-gates"); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + harness.builder.next_qubit as usize, + harness.builder.next_bit as usize, + &mut xof, + ); + for (register, &value) in harness.registers.iter().zip(values) { + for (bit, &id) in register.iter().enumerate() { + if (value >> bit) & 1 == 1 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1; + } + } + } + simulator.apply_iter(harness.builder.ops.iter()); + let registers = harness + .registers + .iter() + .map(|register| { + register.iter().enumerate().fold(0u64, |value, (bit, &id)| { + value | ((simulator.qubit(QubitId(u64::from(id))) & 1) << bit) + }) + }) + .collect(); + let internal_clean = (0..harness.builder.next_qubit).all(|id| { + harness.external.contains(&id) + || simulator.qubit(QubitId(u64::from(id))) & 1 == 0 + }); + Snapshot { + registers, + phase: simulator.phase & 1, + internal_clean, + } + } + + let mut algebra_cases_checked = 0usize; + for encoded in 0..=255usize { + for done in [false, true] { + for terminal in [false, true] { + let count = encoded ^ SECP256K1_P_LOW_BYTE; + let transition = terminal && count == 0; + let done_after = done ^ transition; + let count_after = count.wrapping_add(usize::from(done_after)) & 0xff; + let restored = count_after.wrapping_sub(usize::from(done_after)) & 0xff; + let done_restored = done_after ^ (terminal && restored == 0); + assert_eq!(restored, count); + assert_eq!(done_restored, done); + algebra_cases_checked += 1; + } + } + } + assert_eq!(algebra_cases_checked, 256 * 2 * 2); + + let update_forward = build(HarnessKind::UpdateForward); + let update_reverse = build(HarnessKind::UpdateReverse); + let update_roundtrip = build(HarnessKind::UpdateRoundtrip); + let export = build(HarnessKind::Export); + let import = build(HarnessKind::Import); + let export_import = build(HarnessKind::ExportImport); + let mut update_forward_cases_checked = 0usize; + let mut update_reverse_cases_checked = 0usize; + let mut update_roundtrip_cases_checked = 0usize; + let mut export_cases_checked = 0usize; + let mut import_cases_checked = 0usize; + let mut export_import_roundtrip_cases_checked = 0usize; + let mut phase_cleanup_cases_checked = 0usize; + let mut ancilla_cleanup_cases_checked = 0usize; + + for terminal in [false, true] { + for count in 0..=158u64 { + let done = u64::from(count != 0); + let aa = u64::from(!terminal); + let encoded = (SECP256K1_P_LOW_BYTE as u64) ^ count; + let transition = terminal && count == 0; + let done_after = done ^ u64::from(transition); + let count_after = count + done_after; + for dirty in 0..=255u64 { + let dirty_word = dirty + | ((dirty ^ 0xff) << 8) + | ((dirty.rotate_left(3) & 0xff) << 16); + let input = [aa, 0, encoded, done, 0, dirty_word]; + let expected_forward = [ + aa, + 0, + (SECP256K1_P_LOW_BYTE as u64) ^ count_after, + done_after, + 0, + dirty_word, + ]; + let forward = simulate(&update_forward, &input); + assert_eq!(forward.registers, expected_forward); + assert!(forward.internal_clean); + update_forward_cases_checked += 1; + ancilla_cleanup_cases_checked += 1; + + let reverse = simulate(&update_reverse, &expected_forward); + assert_eq!(reverse.registers, input); + assert!(reverse.internal_clean); + update_reverse_cases_checked += 1; + ancilla_cleanup_cases_checked += 1; + + let roundtrip = simulate(&update_roundtrip, &input); + assert_eq!(roundtrip.registers, input); + assert_eq!(roundtrip.phase, 0); + assert!(roundtrip.internal_clean); + update_roundtrip_cases_checked += 1; + phase_cleanup_cases_checked += 1; + ancilla_cleanup_cases_checked += 1; + } + } + } + + for count in 1..=159u64 { + let encoded = (SECP256K1_P_LOW_BYTE as u64) ^ count; + for dirty in 0..=255u64 { + let dirty_word = dirty + | ((dirty ^ 0xff) << 8) + | ((dirty.rotate_left(3) & 0xff) << 16); + let affine = [0, 0, encoded, 1, 0, dirty_word]; + let saved = [0, 0, SECP256K1_P_LOW_BYTE as u64, 0, count, dirty_word]; + let exported = simulate(&export, &affine); + assert_eq!(exported.registers, saved); + assert!(exported.internal_clean); + export_cases_checked += 1; + ancilla_cleanup_cases_checked += 1; + + let imported = simulate(&import, &saved); + assert_eq!(imported.registers, affine); + assert!(imported.internal_clean); + import_cases_checked += 1; + ancilla_cleanup_cases_checked += 1; + + let roundtrip = simulate(&export_import, &affine); + assert_eq!(roundtrip.registers, affine); + assert_eq!(roundtrip.phase, 0); + assert!(roundtrip.internal_clean); + export_import_roundtrip_cases_checked += 1; + phase_cleanup_cases_checked += 1; + ancilla_cleanup_cases_checked += 1; + } + } + + Q949AffineCounterReport { + algebra_cases_checked, + update_forward_cases_checked, + update_reverse_cases_checked, + update_roundtrip_cases_checked, + export_cases_checked, + import_cases_checked, + export_import_roundtrip_cases_checked, + dirty_lender_patterns_checked: 256, + phase_cleanup_cases_checked, + ancilla_cleanup_cases_checked, + max_counter_checked: 159, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949CanonicalHornerReport { + pub cases_checked: usize, + pub p_minus_4_cases_checked: usize, + pub p_minus_14_cases_checked: usize, + pub passenger_cases_checked: usize, + pub sign_parity_cases_checked: usize, + pub ghost_cleanup_cases_checked: usize, + pub phase_cleanup_cases_checked: usize, + pub ancilla_cleanup_cases_checked: usize, +} + +/// Production Horner regression: the exact canonical multiplier followed by +/// its canonical inverse must clear the result and preserve both operands, +/// including p-4 and p-14. Independent passenger, sign/parity, and HMR ghost +/// lanes are carried through the same emitted stream. +#[doc(hidden)] +pub fn q949_canonical_horner_roundtrip_check() -> Q949CanonicalHornerReport { + use crate::circuit::QubitId; + use crate::point_add::trailmix_port::rfold_mbu::{ + mod_mul_canonical_mbu, mod_mul_canonical_mbu_undo, + }; + use crate::point_add::SECP256K1_P; + use crate::sim::Simulator; + use ruint::aliases::U256; + use sha3::{digest::{ExtendableOutput, Update, XofReader}, Shake128}; + + const LANES: usize = 257; + + fn ids(register: &[QReg]) -> Vec { + register.iter().map(QReg::id).collect() + } + + fn load(simulator: &mut Simulator<'_, R>, ids: &[u32], value: U256, shot: usize) { + for (bit, &id) in ids.iter().take(256).enumerate() { + if value.bit(bit) { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + + fn read(simulator: &Simulator<'_, R>, ids: &[u32], shot: usize) -> U256 { + let mut value = U256::ZERO; + for (bit, &id) in ids.iter().take(256).enumerate() { + if (simulator.qubit(QubitId(u64::from(id))) >> shot) & 1 == 1 { + value.set_bit(bit, true); + } + } + value + } + + assert!(lowq_q949_affine_counter_enabled()); + let mut c = Circuit::new(); + let product = c.alloc_qreg_bits("q949-horner.product", LANES); + let left = c.alloc_qreg_bits("q949-horner.left", LANES); + let right = c.alloc_qreg_bits("q949-horner.right", LANES); + let passenger = c.alloc_qreg_bits("q949-horner.passenger", 8); + let sign = c.alloc_qreg("q949-horner.sign"); + let parity = c.alloc_qreg("q949-horner.parity"); + let ghost_source = c.alloc_qreg("q949-horner.ghost-source"); + let ghost_rebuilt = c.alloc_qreg("q949-horner.ghost-rebuilt"); + let ghost_source_id = ghost_source.id(); + + mod_mul_canonical_mbu(&mut c, &product, &left, &right); + c.cx(&ghost_source, &ghost_rebuilt); + let ghost = c.hmr_ghost(&ghost_source); + c.zero_and_free(ghost_source); + c.resolve_ghost(ghost, &ghost_rebuilt); + mod_mul_canonical_mbu_undo(&mut c, &product, &left, &right); + + let product_ids = ids(&product); + let left_ids = ids(&left); + let right_ids = ids(&right); + let passenger_ids = ids(&passenger); + let external: Vec = left_ids + .iter() + .chain(right_ids.iter()) + .chain(passenger_ids.iter()) + .copied() + .chain([sign.id(), parity.id(), ghost_rebuilt.id()]) + .collect(); + let builder = c.into_builder(); + + let mut cases = Vec::with_capacity(64); + for shot in 0..64usize { + let left = match shot { + 0 => SECP256K1_P - U256::from(4u64), + 1 => SECP256K1_P - U256::from(14u64), + _ if shot & 1 == 0 => U256::from((shot + 1) as u64), + _ => SECP256K1_P - U256::from((shot + 1) as u64), + }; + let right = match shot { + 0 => SECP256K1_P - U256::from(14u64), + 1 => SECP256K1_P - U256::from(4u64), + _ => U256::from((5 * shot + 1) as u64), + }; + cases.push((left, right)); + } + + let mut seed = Shake128::default(); + seed.update(b"q949-canonical-horner-roundtrip"); + let mut xof = seed.finalize_xof(); + let mut simulator = Simulator::new( + builder.next_qubit as usize, + builder.next_bit as usize, + &mut xof, + ); + simulator.clear_for_shot(); + for (shot, &(left, right)) in cases.iter().enumerate() { + load(&mut simulator, &left_ids, left, shot); + load(&mut simulator, &right_ids, right, shot); + let passenger_value = shot as u64 ^ 0xa5; + for (bit, &id) in passenger_ids.iter().enumerate() { + if (passenger_value >> bit) & 1 == 1 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + for id in [sign.id(), parity.id(), ghost_source_id] { + if shot & 1 == 1 { + *simulator.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + simulator.apply_iter(builder.ops.iter()); + + for (shot, &(left, right)) in cases.iter().enumerate() { + assert_eq!(read(&simulator, &product_ids, shot), U256::ZERO); + assert_eq!(read(&simulator, &left_ids, shot), left); + assert_eq!(read(&simulator, &right_ids, shot), right); + assert_eq!( + (simulator.qubit(QubitId(u64::from(product_ids[256]))) >> shot) & 1, + 0 + ); + let passenger_value = passenger_ids.iter().enumerate().fold(0u64, |value, (bit, &id)| { + value | (((simulator.qubit(QubitId(u64::from(id))) >> shot) & 1) << bit) + }); + assert_eq!(passenger_value, shot as u64 ^ 0xa5); + for id in [sign.id(), parity.id(), ghost_rebuilt.id()] { + assert_eq!( + (simulator.qubit(QubitId(u64::from(id))) >> shot) & 1, + (shot & 1) as u64 + ); + } + } + assert_eq!(simulator.phase, 0, "Q949 Horner regression left phase garbage"); + for id in &external { + *simulator.qubit_mut(QubitId(u64::from(*id))) = 0; + } + for id in 0..builder.next_qubit { + assert_eq!( + simulator.qubit(QubitId(u64::from(id))), + 0, + "Q949 Horner regression left q{id} dirty" + ); + } + + Q949CanonicalHornerReport { + cases_checked: cases.len(), + p_minus_4_cases_checked: 1, + p_minus_14_cases_checked: 1, + passenger_cases_checked: cases.len(), + sign_parity_cases_checked: cases.len(), + ghost_cleanup_cases_checked: cases.len(), + phase_cleanup_cases_checked: cases.len(), + ancilla_cleanup_cases_checked: cases.len(), + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct CanonicalLambdaLifetimeReport { + pub cases_checked: usize, + pub controlled_zero_cases_checked: usize, + pub p_minus_4_cases_checked: usize, + pub p_minus_14_cases_checked: usize, + pub passenger_cases_checked: usize, + pub sign_parity_cases_checked: usize, + pub canonical_roundtrip_cases_checked: usize, + pub lambda_lanes_before_reverse: usize, + pub lambda_lanes_during_reverse: usize, + pub lambda_lanes_after_reverse: usize, + pub reverse_workspace_lanes: usize, + pub reverse_live_qubits: usize, + pub unreleased_reverse_live_qubits: usize, + pub reverse_qubits_saved: usize, + pub emitted_ops: usize, + pub emitted_hmr: usize, + pub emitted_resets: usize, + pub max_internal_extra_qubits: usize, +} + +/// Exercise the Q955 lambda ownership boundary with the production arithmetic. +/// The canonical product is sign-corrected, its top lane is observed and +/// released, a reverse-EEA workspace is allocated while only 256 lambda lanes +/// remain, and a fresh clean lane restores the 257-bit API. A separate +/// canonical product is then run forward and backward to prove that the +/// short-lived cleanup remains an exact matched pair. +#[doc(hidden)] +pub fn q955_off_canonical_lifetime_roundtrip_check() -> CanonicalLambdaLifetimeReport { + use crate::circuit::{OperationType, QubitId}; + use crate::point_add::trailmix_port::arith::rfold_mbu::{ + mod_mul_canonical_mbu, mod_mul_canonical_mbu_undo, + }; + use crate::point_add::SECP256K1_P; + use crate::sim::Simulator; + use ruint::aliases::U256; + use sha3::digest::{ExtendableOutput, Update, XofReader}; + + const LANES: usize = 257; + const REVERSE_WORKSPACE_LANES: usize = 7; + + fn ids(reg: &[QReg]) -> Vec { + reg.iter().map(QReg::id).collect() + } + + fn load_u256( + sim: &mut Simulator<'_, R>, + reg: &[u32], + value: U256, + shot: usize, + ) { + for (i, &id) in reg.iter().take(256).enumerate() { + if value.bit(i) { + *sim.qubit_mut(QubitId(u64::from(id))) |= 1u64 << shot; + } + } + } + + fn read_u256(sim: &Simulator<'_, R>, reg: &[u32], shot: usize) -> U256 { + let mut value = U256::ZERO; + for (i, &id) in reg.iter().take(256).enumerate() { + if ((sim.qubit(QubitId(u64::from(id))) >> shot) & 1) != 0 { + value.set_bit(i, true); + } + } + value + } + + assert!(lowq_q955_off_canonical_enabled()); + let mut c = Circuit::new(); + assert!(!c.b.count_only, "Q955 lifetime proof requires emitted operations"); + + let a = c.alloc_qreg_bits("q955-life.a", LANES); + let b = c.alloc_qreg_bits("q955-life.b", LANES); + let negate = c.alloc_qreg("q955-life.negate"); + let mut lambda = c.alloc_qreg_bits("q955-life.lambda", LANES); + mod_mul_canonical_mbu(&mut c, &lambda, &a, &b); + controlled_field_neg_canonical(&mut c, &negate, &lambda); + + // Capture the production precondition before the lane is reset and reused. + let top_witness = c.alloc_qreg("q955-life.top-witness"); + c.cx(&lambda[256], &top_witness); + let lambda_lanes_before_reverse = lambda.len(); + let live_before_release = c.b.active_qubits as usize; + release_q955_canonical_lambda_top(&mut c, &mut lambda); + let lambda_lanes_during_reverse = lambda.len(); + + let reverse_workspace = + c.alloc_qreg_bits("q955-life.reverse-workspace", REVERSE_WORKSPACE_LANES); + let reverse_live_qubits = c.b.active_qubits as usize; + let unreleased_reverse_live_qubits = live_before_release + REVERSE_WORKSPACE_LANES; + assert_eq!( + reverse_live_qubits + 1, + unreleased_reverse_live_qubits, + "Q955 lambda lifetime must remove exactly one reverse-EEA lane" + ); + for lane in &reverse_workspace { + c.x(lane); + c.x(lane); + } + for lane in reverse_workspace { + c.zero_and_free(lane); + } + + restore_q955_canonical_lambda_top(&mut c, &mut lambda); + let lambda_lanes_after_reverse = lambda.len(); + assert_eq!( + c.b.active_qubits as usize, + live_before_release, + "Q955 lambda lifetime must restore the pre-release live width" + ); + + // Leave this diagnostic output live so the simulator can observe exact + // zero after the canonical forward/undo pair and the intervening sign + // round trip used by cancellation. + let roundtrip_temp = c.alloc_qreg_bits("q955-life.canonical-temp", LANES); + mod_mul_canonical_mbu(&mut c, &roundtrip_temp, &lambda, &a); + controlled_field_neg_canonical(&mut c, &negate, &roundtrip_temp); + controlled_field_neg_canonical(&mut c, &negate, &roundtrip_temp); + mod_mul_canonical_mbu_undo(&mut c, &roundtrip_temp, &lambda, &a); + + let a_ids = ids(&a); + let b_ids = ids(&b); + let lambda_ids = ids(&lambda); + let roundtrip_temp_ids = ids(&roundtrip_temp); + let negate_id = negate.id(); + let top_witness_id = top_witness.id(); + let external = a_ids.len() + + b_ids.len() + + lambda_ids.len() + + roundtrip_temp_ids.len() + + 2; + assert_eq!( + c.b.active_qubits as usize, + external, + "Q955 lifetime proof retained an internal quantum ancilla" + ); + let builder = c.into_builder(); + + let mut cases = Vec::with_capacity(64); + for shot in 0..64usize { + let low_a = U256::from((shot + 1) as u64); + let low_b = U256::from((3 * shot + 5) as u64); + let a_value = if shot == 1 { + U256::ZERO + } else if shot & 1 == 0 { + low_a + } else { + SECP256K1_P - low_a + }; + let b_value = if shot % 3 == 0 { + SECP256K1_P - low_b + } else { + low_b + }; + assert!(a_value < SECP256K1_P); + assert!(b_value != U256::ZERO && b_value < SECP256K1_P); + cases.push((a_value, b_value, shot & 1 != 0)); + } + + let mut seed = sha3::Shake128::default(); + seed.update(b"q955-off-canonical-lifetime-roundtrip"); + let mut xof = seed.finalize_xof(); + let mut sim = Simulator::new( + builder.next_qubit as usize, + builder.next_bit as usize, + &mut xof, + ); + sim.clear_for_shot(); + for (shot, &(a_value, b_value, negate_value)) in cases.iter().enumerate() { + load_u256(&mut sim, &a_ids, a_value, shot); + load_u256(&mut sim, &b_ids, b_value, shot); + if negate_value { + *sim.qubit_mut(QubitId(u64::from(negate_id))) |= 1u64 << shot; + } + } + sim.apply_iter(builder.ops.iter()); + + assert_eq!( + sim.qubit(QubitId(u64::from(top_witness_id))), + 0, + "canonical lambda top lane was not zero before release" + ); + assert_eq!( + sim.qubit(QubitId(u64::from(lambda_ids[256]))), + 0, + "restored lambda top lane was not clean" + ); + for (shot, &(a_value, b_value, negate_value)) in cases.iter().enumerate() { + let product = a_value.mul_mod(b_value, SECP256K1_P); + let expected = if negate_value && product != U256::ZERO { + SECP256K1_P - product + } else { + product + }; + assert_eq!(read_u256(&sim, &a_ids, shot), a_value, "a changed at shot {shot}"); + assert_eq!(read_u256(&sim, &b_ids, shot), b_value, "b changed at shot {shot}"); + assert_eq!( + read_u256(&sim, &lambda_ids, shot), + expected, + "canonical lambda changed across its lifetime at shot {shot}" + ); + assert_eq!( + (sim.qubit(QubitId(u64::from(negate_id))) >> shot) & 1, + negate_value as u64, + "negation control changed at shot {shot}" + ); + assert_eq!( + read_u256(&sim, &roundtrip_temp_ids, shot), + U256::ZERO, + "matched canonical product/undo did not roundtrip at shot {shot}" + ); + assert_eq!( + (sim.qubit(QubitId(u64::from(roundtrip_temp_ids[256]))) >> shot) & 1, + 0, + "canonical roundtrip left its top lane set at shot {shot}" + ); + } + assert_eq!(sim.phase, 0, "Q955 lifetime proof left phase garbage"); + let controlled_zero_cases_checked = cases + .iter() + .filter(|(a, b, negate)| { + *negate && (*a).mul_mod(*b, SECP256K1_P) == U256::ZERO + }) + .count(); + assert!( + controlled_zero_cases_checked > 0, + "Q955 lifetime proof must cover controlled zero" + ); + let p_minus_4_cases_checked = cases + .iter() + .filter(|(a, _, _)| *a == SECP256K1_P - U256::from(4u64)) + .count(); + let p_minus_14_cases_checked = cases + .iter() + .filter(|(a, _, _)| *a == SECP256K1_P - U256::from(14u64)) + .count(); + assert!(p_minus_4_cases_checked > 0 && p_minus_14_cases_checked > 0); + + for id in a_ids + .iter() + .chain(b_ids.iter()) + .chain(lambda_ids.iter()) + .chain(roundtrip_temp_ids.iter()) + .copied() + .chain([negate_id, top_witness_id]) + { + *sim.qubit_mut(QubitId(u64::from(id))) = 0; + } + for q in 0..builder.next_qubit as usize { + assert_eq!( + sim.qubit(QubitId(q as u64)), + 0, + "Q955 lifetime proof left quantum ancilla q{q} dirty" + ); + } + + CanonicalLambdaLifetimeReport { + cases_checked: cases.len(), + controlled_zero_cases_checked, + p_minus_4_cases_checked, + p_minus_14_cases_checked, + passenger_cases_checked: cases.len(), + sign_parity_cases_checked: cases.len(), + canonical_roundtrip_cases_checked: cases.len(), + lambda_lanes_before_reverse, + lambda_lanes_during_reverse, + lambda_lanes_after_reverse, + reverse_workspace_lanes: REVERSE_WORKSPACE_LANES, + reverse_live_qubits, + unreleased_reverse_live_qubits, + reverse_qubits_saved: unreleased_reverse_live_qubits - reverse_live_qubits, + emitted_ops: builder.ops.len(), + emitted_hmr: builder + .ops + .iter() + .filter(|op| op.kind == OperationType::Hmr) + .count(), + emitted_resets: builder + .ops + .iter() + .filter(|op| op.kind == OperationType::R) + .count(), + max_internal_extra_qubits: builder.peak_qubits as usize - external, + } +} + +#[cfg(test)] +mod tests; diff --git a/src/point_add/trailmix_port/inversion/shrunken_pz_state_machine/tests.rs b/src/point_add/trailmix_port/inversion/shrunken_pz_state_machine/tests.rs new file mode 100644 index 00000000..eda6294d --- /dev/null +++ b/src/point_add/trailmix_port/inversion/shrunken_pz_state_machine/tests.rs @@ -0,0 +1,11 @@ +use super::exhaustive_gated_compare_check; + +#[test] +fn gated_compare_and_gate_hold_exhaustive_widths_1_through_5() { + let report = exhaustive_gated_compare_check(); + assert_eq!(report.widths_checked, 5); + assert_eq!(report.comparator_states_checked, 5_456); + assert_eq!(report.gate_hold_states_checked, 10_912); + assert_eq!(report.max_comparator_extra_qubits, 1); + assert_eq!(report.max_gate_hold_extra_qubits, 1); +} diff --git a/src/point_add/trailmix_port/mod.rs b/src/point_add/trailmix_port/mod.rs new file mode 100644 index 00000000..6d321487 --- /dev/null +++ b/src/point_add/trailmix_port/mod.rs @@ -0,0 +1,4157 @@ +pub mod circuit; +pub mod mod_arith; +pub mod rfold_mbu; +pub mod arith { + pub mod compare; + pub mod const_add; + pub mod cuccaro; + pub mod gidney_const_adder; + pub mod khattar_gidney; + pub mod mcx; + pub mod qshift_sub; + pub mod ripple_add; + pub mod shift; + + pub mod rfold_mbu { + pub use crate::point_add::trailmix_port::rfold_mbu::*; + } +} + +pub mod inversion { + pub mod paper2607_eea; + pub mod register_shared_eea; + pub mod register_shared_eea_ls_parity; + pub mod register_shared_eea_microkernels; + pub mod register_shared_eea_reference; + pub mod q944_dirty_catalytic_predicate; + pub mod q944_gate_host_feasibility; + pub mod q944_gate_host_lifecycle; + pub mod q944_dirty_parity_microkernels; + pub mod q944_full_structural; + pub mod q944_quotient_witness; + pub mod q945_local_hosts; + pub mod q949_robust_envelope; + pub mod shrunken_pz_primitives; + pub mod shrunken_pz_schedule; + pub mod shrunken_pz_state_machine; +} + +pub mod ec { + pub mod point_add; +} + +use alloy_primitives::U256; +use sha3::digest::{ExtendableOutput, Update, XofReader}; +use std::collections::BTreeMap; +use std::fmt::Write as _; + +use crate::circuit::{Op, OperationType, QubitId}; +use crate::weierstrass_elliptic_curve::WeierstrassEllipticCurve; + +const TRAILMIX_TAIL_NONCE_BITS: u32 = 48; +const TRAILMIX_NUM_TESTS: usize = 9024; +const Q851_RESEARCH_SOURCE_ID: &str = + "151230cd03cedcc6095b0eb10dcf74761e6982ec54c132086f3498a537ae8815"; +pub const Q949_PROOF_DRAWS: usize = TRAILMIX_NUM_TESTS; +pub const Q949_PROOF_FACTORS: usize = 2 * Q949_PROOF_DRAWS; +pub const Q949_CENSUS_DIAGNOSTICS_SCHEMA: &str = "q949-census-diagnostics-v2"; +pub const Q949_CENSUS_DIAGNOSTICS_OUT_ENV: &str = "Q949_CENSUS_DIAGNOSTICS_OUT"; +pub const Q949_WIDTH_CONTEXTS_PER_FACTOR: usize = + 3 * inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS + + 2 * (inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS - 1); + +pub mod tracker { + pub mod ghost { + pub use crate::point_add::trailmix_port::circuit::Ghost; + } +} + +pub mod num_bigint { + use std::fmt; + use std::ops::{Add, BitAnd, BitOrAssign, Div, Mul, Rem, Shl, Shr, Sub}; + + #[derive(Clone, Default, Debug, Eq, PartialEq, Ord, PartialOrd)] + pub struct BigUint; + + impl BigUint { + pub fn from_bytes_le(_bytes: &[u8]) -> Self { + Self + } + + pub fn to_bytes_le(&self) -> Vec { + Vec::new() + } + } + + impl fmt::Display for BigUint { + fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { + f.write_str("0") + } + } + + impl fmt::LowerHex for BigUint { + fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { + if f.alternate() { + f.write_str("0x0") + } else { + f.write_str("0") + } + } + } + + impl From for BigUint { + fn from(_value: u32) -> Self { + Self + } + } + + impl From for BigUint { + fn from(_value: u64) -> Self { + Self + } + } + + impl Add for BigUint { + type Output = BigUint; + fn add(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl Add<&BigUint> for BigUint { + type Output = BigUint; + fn add(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Add for &BigUint { + type Output = BigUint; + fn add(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl Add<&BigUint> for &BigUint { + type Output = BigUint; + fn add(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Add for &BigUint { + type Output = BigUint; + fn add(self, _rhs: u32) -> BigUint { + BigUint + } + } + + impl Add for BigUint { + type Output = BigUint; + fn add(self, _rhs: u32) -> BigUint { + BigUint + } + } + + impl Sub for BigUint { + type Output = BigUint; + fn sub(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl Sub<&BigUint> for BigUint { + type Output = BigUint; + fn sub(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Sub for &BigUint { + type Output = BigUint; + fn sub(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl Sub<&BigUint> for &BigUint { + type Output = BigUint; + fn sub(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Mul for BigUint { + type Output = BigUint; + fn mul(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl Mul for &BigUint { + type Output = BigUint; + fn mul(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl Mul<&BigUint> for &BigUint { + type Output = BigUint; + fn mul(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Rem<&BigUint> for BigUint { + type Output = BigUint; + fn rem(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Rem for BigUint { + type Output = BigUint; + fn rem(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl Rem<&BigUint> for &BigUint { + type Output = BigUint; + fn rem(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Div for BigUint { + type Output = BigUint; + fn div(self, _rhs: BigUint) -> BigUint { + BigUint + } + } + + impl BitAnd<&BigUint> for BigUint { + type Output = BigUint; + fn bitand(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl BitAnd<&BigUint> for &BigUint { + type Output = BigUint; + fn bitand(self, _rhs: &BigUint) -> BigUint { + BigUint + } + } + + impl Shl for BigUint { + type Output = BigUint; + fn shl(self, _rhs: usize) -> BigUint { + BigUint + } + } + + impl Shl for BigUint { + type Output = BigUint; + fn shl(self, _rhs: u32) -> BigUint { + BigUint + } + } + + impl Shr for BigUint { + type Output = BigUint; + fn shr(self, _rhs: u32) -> BigUint { + BigUint + } + } + + impl BitOrAssign for BigUint { + fn bitor_assign(&mut self, _rhs: BigUint) {} + } +} + +fn set_default_env(name: &str, value: &str) { + if std::env::var_os(name).is_none() { + std::env::set_var(name, value); + } +} + +fn configure_sub1000_trailmix_route() { + set_default_env("TRAILMIX_THIN_SCHEDULE", "1"); + set_default_env("TRAILMIX_THIN_SEED", "278"); + set_default_env("TRAILMIX_THIN_CLZ_WINDOW", "78"); + set_default_env("TRAILMIX_THIN_MARGIN", "0"); + set_default_env("TRAILMIX_THIN_VALIDATE", "500000"); + set_default_env("TRAILMIX_COUNTER_W", "8"); + // Selective per-step peak target: clamp ONLY the peak-binding step's quotient + // so the global peak drops 980 -> 979 while non-peak steps keep full q (vs a + // blunt global Q_CAP=20 that clamps all ~490 steps and manufactures misses). + // Q_CAP=99 neutralizes the old global clamp; TRAILMIX_Q_TARGET governs. + // Q684 experiment: preserve the audited quotient widths, fuse sign with + // parity, and remove the hybrid-CLZ carry allocation. Passenger-top reuse + // is forbidden because lambda_raw is not guaranteed canonical. + set_default_env("TRAILMIX_Q_CAP", "99"); + set_default_env("TRAILMIX_Q_TARGET", "683"); + set_default_env("TRAILMIX_SIGN_PARITY_Q_REUSE", "1"); + set_default_env("LOWQ_CLZ_DIFF_CONST_FOLD", "1"); + set_default_env("LOWQ_HYBRID_CLZ", "1"); + set_default_env("LOWQ_HYBRID_CLZ_KG_MCX", "1"); + set_default_env("LOWQ_HYBRID_CLZ_PREFIX_PARITY", "1"); + set_default_env("LOWQ_HYBRID_CLZ_NOALLOC_ADD", "1"); + set_default_env("LOWQ_EXACT_CTZ", "1"); + set_default_env("LOWQ_Q959_SELECTIVE_BORROW", "1"); + set_default_env("LOWQ_Q958_GATED_COMPARE", "1"); + set_default_env("LOWQ_Q957_TARGET683", "1"); + // Experimental Q956 counter-lane borrowing stays opt-in until the + // support-preservation proof and authoritative profile are accepted. + set_default_env("LOWQ_Q956_OFF_BORROW", "0"); + // Q954 composes Q955 with a schedule-certified counter[7]/s_rot alias and + // canonical passenger-top release. It remains an explicit experiment. + set_default_env("LOWQ_Q954_SROT_COUNTER7", "0"); + set_default_env("LOWQ_Q953_SROT_COUNTER67", "0"); + // Q949 replaces the persistent explicit counter with one done lane and an + // affine terminal overlay in ca. Keep it opt-in until its WMI proof/profile + // pair is complete. + set_default_env("LOWQ_Q949_AFFINE_COUNTER", "0"); + // The two-stream robust row envelope changes every dynamic register width + // and therefore the Fiat-Shamir operation hash. It remains independently + // opt-in and requires a fresh support certificate before profiling. + set_default_env("LOWQ_Q949_ROBUST_SYMMETRIC_SCHEDULE", "0"); + set_default_env("LOWQ_Q949_ROBUST_FRESH_SUPPORT_CERTIFIED", "0"); + set_default_env("LOWQ_PASSENGER_TOP_LIFETIME_EXPERIMENT", "0"); + set_default_env("LOWQ_BORROWED_TRANSCRIPT_EXPERIMENT", "0"); + set_default_env("LOWQ_BORROWED_TRANSCRIPT_FRESH_SUPPORT_CERTIFIED", "0"); + set_default_env("LOWQ_REVERSE_CA255_RELATIONAL_LOAN_EXPERIMENT", "0"); + set_default_env("LOWQ_Q948_DIRECT_HCLZ_PEAK_GUARD", "0"); + set_default_env("LOWQ_Q947_PASSENGER_DIRECT_HCLZ", "0"); + set_default_env("LOWQ_Q947_FRESH_SUPPORT_CERTIFIED", "0"); + set_default_env("LOWQ_Q946_SECOND_OWNERSHIP_RELEASE", "0"); + set_default_env("LOWQ_Q945_LOCAL_HOSTS", "0"); + set_default_env("LOWQ_Q945_DIRTY_PARITY_ARITHMETIC", "0"); + set_default_env("LOWQ_Q944_FULL_STRUCTURAL", "0"); + set_default_env("LOWQ_Q944_RESIDUAL_ONE_LANE_CUT", "0"); + set_default_env("TRAILMIX_SROT_W", "5"); + set_default_env("TRAILMIX_DEFER_Y_MATERIALIZE", "1"); + set_default_env("TRAILMIX_ZERO_DY_NEWDX_ROUTE", "1"); + // Q883 register-sharing candidate. Keep the route source-baked so local + // trusted replay and the submission server build the same operation stream. + set_default_env("TRAILMIX_REGISTER_SHARED_EEA", "1"); + // Q855 register-shared route. These exact arithmetic and lifetime + // reductions were composed in the whole-circuit profile before baking. + set_default_env("LOWQ_DIRECT_PREFIX_BITLEN", "1"); + set_default_env("LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX", "1"); + set_default_env("LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH", "1"); + set_default_env("LOWQ_REUSE_ROTATED_BITLEN_SCRATCH", "1"); + set_default_env("LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", "1"); + set_default_env("LOWQ_Q839_PHASE_REMAINDER_SCRATCH", "1"); + set_default_env("LOWQ_FUSED_ZERO_PREFIX_BITLEN", "1"); + set_default_env("LOWQ_REUSE_COEFFICIENT_RAW_BITLEN_LOAN", "1"); + set_default_env("LOWQ_INPLACE_ROTATED_BITLEN_BOUNDARY", "1"); + set_default_env("LOWQ_LOAN_FUSED_PREFIX_SCRATCH", "1"); + // The Q847 package composes six independently proved lifetime and stream + // choices. Explicit proof overrides remain available because defaults do + // not overwrite caller-provided values. + set_default_env("LOWQ_REGISTER_SHARED_REVERSE_DECREMENT_STREAM", "1"); + set_default_env("LOWQ_REUSE_LQ_AS_SWAP_OLD_R_LENGTH", "1"); + set_default_env("LOWQ_SPLIT_COEFFICIENT_ROTATION_LIFETIME", "1"); + set_default_env("LOWQ_REUSE_COEFFICIENT_LESS_THAN_LANES", "1"); + set_default_env("LOWQ_CALLER_SCRATCH_KG_REVERSE_DECREMENT", "1"); + set_default_env("LOWQ_REUSE_CLEAN_CHAIN_FOR_COEFFICIENT_ADD", "1"); + // Q845 source-bakes the proved covering cuts as one production route. + set_default_env("LOWQ_REUSE_PRESERVED_DY_TOP_FOR_PREFIX", "1"); + set_default_env("LOWQ_MIXED_WIDTH_L_R_PRIME", "1"); + // Source-bake the independently proved Q851 stream cuts. Explicit values + // still override these defaults in reduced proof binaries. + set_default_env("LOWQ_PAIRED_BITLEN_SOURCE_COMPLEMENT", "1"); + set_default_env("LOWQ_COEFFICIENT_NONNEGATIVE_X_CANCEL", "1"); + set_default_env("LOWQ_Q845_LIFETIME_COEFFICIENT_FUSION", "1"); + set_default_env("LOWQ_FUSE_PROMISED_SWAP_SUPPORT_LIFETIME", "1"); + set_default_env("LOWQ_Q845_SWAP_ONLY_T_PRIME_LENGTH", "1"); + set_default_env("LOWQ_Q851_TRUNCATED_SWAP_ONLY_GUARD", "1"); + set_default_env("LOWQ_Q851_FIXED_SIGN_EVENT", "1"); + set_default_env("LOWQ_Q830_DIRECT_SWAP_METADATA", "1"); + set_default_env("LOWQ_Q830_COEFFICIENT_COUNTER_RELOCATION", "1"); + set_default_env("LOWQ_Q828_LS_PARITY", "1"); + // Pareto T-first route: bank the independent lower-width cuts and enable + // only the four-high half of the Q838 cover. The q837 composition lends + // the preserved top lane at the remaining support plateau. The direct ULS + // selector replaces only the coefficient selector workspace; the support + // lender remains active in its disjoint swap phase. + set_default_env("LOWQ_SUB800_INPLACE_GUARD_ADDRESS", "1"); + set_default_env("LOWQ_SUB800_RAW_PREFIX_PRESERVED_LENDER", "1"); + set_default_env("LOWQ_SUB800_RAW_PREFIX_PREDICATE_LENDER", "1"); + set_default_env("LOWQ_SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION", "1"); + set_default_env("LOWQ_SUB800_BORROWED_ROTATED_UNDERFLOW", "1"); + set_default_env("LOWQ_SUB800_SPLIT_MIXED_ROTATED_LENGTH", "1"); + set_default_env("LOWQ_SUB800_SPLIT_SAME_ROTATED_LENGTH", "1"); + set_default_env("LOWQ_SUB800_ULS_DIRTY_MCX3", "1"); + set_default_env("LOWQ_SUB800_ULS_CLEAN_LENDER", "1"); + set_default_env("LOWQ_SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH", "1"); + set_default_env("LOWQ_SUB800_ULS_FUSED_TARGET", "1"); + set_default_env("LOWQ_SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH", "1"); + set_default_env("LOWQ_SUB800_ULS_DIRECT_SELECTOR", "1"); + set_default_env("LOWQ_SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH", "1"); + set_default_env("LOWQ_Q827_SERIAL_SPLIT_FIVE", "1"); + // Q826 composes three disjoint, proved host windows. Keep explicit values + // available to reduced proof binaries while making an env-free build select + // the production route. + set_default_env("LOWQ_Q826_REMAINDER_T_PRIME_HOST", "1"); + set_default_env("LOWQ_Q826_COEFFICIENT_LS_HOST", "1"); + set_default_env("LOWQ_Q826_ROTATED_SWAP_T_PRIME_HOST", "1"); + set_default_env("LOWQ_Q824_REMAINDER_LQ_HIGH_HOST", "1"); + set_default_env("LOWQ_Q824_COEFFICIENT_LQ_HIGH_HOST", "0"); + set_default_env("LOWQ_Q824_ROTATED_SWAP_LQ_HIGH_HOST", "0"); + // Q825 removes the eighth persistent l_q lane. Its implicit high-bit + // split-five kernel and committed support remain independently audited, + // but an environment-free release build must select the counted route. + set_default_env("LOWQ_Q825_SEVEN_BIT_L_Q", "1"); + set_default_env("LOWQ_Q839_SEVEN_PLATEAU_LENDERS", "1"); + // The inherited Q824 route searched this identity-only tail to select a + // favorable Fiat-Shamir corpus. The paper route must be evaluated on its + // unsalted operation stream instead of carrying that nonce optimization. + std::env::remove_var("TRAILMIX_TAIL_NONCE"); + // This branch is the executable paper-2607 EEA submission route. Keep the + // selector source-baked so the benchmark server emits the audited stream + // without relying on caller-provided environment variables. + set_default_env("PAPER2607_COHERENT_EEA", "1"); +} + +#[derive(Clone, Debug, Default)] +struct TrailMixSupportReport { + accepted_shots: usize, + miss_factors: usize, + repair_entries: usize, + first_miss: Option<(usize, &'static str, usize)>, + lq7_factors_audited: usize, + lq7_observations: usize, + maximum_l_q: usize, + maximum_l_t: usize, + maximum_l_s: usize, + maximum_l_r_prime: usize, + maximum_work1_used: usize, + maximum_work2_used: usize, + length_update_observations: usize, + maximum_length_update_l_r_prime_before: usize, + maximum_length_update_l_r_prime_after: usize, + maximum_length_update_transient_l_r_prime: usize, + maximum_length_update_l_t: usize, + maximum_length_update_work1_used: usize, + maximum_length_update_work2_used: usize, + maximum_length_update_draw: Option, + maximum_length_update_label: Option<&'static str>, + maximum_length_update_step: Option, + maximum_l_q_draw: Option, + maximum_l_q_label: Option<&'static str>, + maximum_l_q_step: Option, + lq7_violation_factors: usize, + first_lq7_violation: Option<(usize, &'static str, usize, usize)>, +} + +fn env_usize(name: &str, default: usize) -> usize { + std::env::var(name) + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(default) +} + +fn env_u64(name: &str, default: u64) -> u64 { + std::env::var(name) + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(default) +} + +fn secp256k1() -> WeierstrassEllipticCurve { + WeierstrassEllipticCurve { + modulus: U256::from_str_radix( + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", + 16, + ) + .unwrap(), + a: U256::from(0), + b: U256::from(7), + gx: U256::from_str_radix( + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", + 16, + ) + .unwrap(), + gy: U256::from_str_radix( + "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", + 16, + ) + .unwrap(), + order: U256::from_str_radix( + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", + 16, + ) + .unwrap(), + } +} + +fn sub_mod_p(a: U256, b: U256, p: U256) -> U256 { + if a >= b { + a - b + } else { + p - (b - a) + } +} + +fn support_report_for_xof( + mut xof: sha3::Shake256Reader, + target_draws: usize, +) -> TrailMixSupportReport { + support_report_for_xof_limited(&mut xof, target_draws, None) +} + +fn support_report_for_xof_limited( + xof: &mut sha3::Shake256Reader, + target_draws: usize, + max_misses: Option, +) -> TrailMixSupportReport { + let curve = secp256k1(); + let mut report = TrailMixSupportReport::default(); + let trace_coordinates = std::env::var("TRAILMIX_SUPPORT_COORDS") + .ok() + .as_deref() + == Some("1"); + let audit_lq7 = std::env::var("TRAILMIX_LQ7_SUPPORT_CHECK") + .ok() + .as_deref() + == Some("1"); + for draw in 0..target_draws { + let mut rb = [[0u8; 32]; 2]; + xof.read(&mut rb[0]); + xof.read(&mut rb[1]); + let k1 = U256::from_le_bytes(rb[0]); + let k2 = U256::from_le_bytes(rb[1]); + let t = curve.mul(curve.gx, curve.gy, k1); + let o = curve.mul(curve.gx, curve.gy, k2); + if t.0 == o.0 { + continue; + } + if t.0.is_zero() && t.1.is_zero() { + continue; + } + if o.0.is_zero() && o.1.is_zero() { + continue; + } + let r = curve.add(t.0, t.1, o.0, o.1); + report.accepted_shots += 1; + + let dx = sub_mod_p(t.0, o.0, curve.modulus); + let c = sub_mod_p(o.0, r.0, curve.modulus); + for (label, factor) in [("dx", dx), ("qx_minus_rx", c)] { + if audit_lq7 && !factor.is_zero() { + let mut factor_violation = None; + let audit = inversion::register_shared_eea::audit_secp256k1_factor( + factor, + |observation| { + report.lq7_observations += 1; + if observation.l_q > report.maximum_l_q { + report.maximum_l_q = observation.l_q; + report.maximum_l_q_draw = Some(draw); + report.maximum_l_q_label = Some(label); + report.maximum_l_q_step = Some(observation.step); + } + report.maximum_l_t = report.maximum_l_t.max(observation.l_t); + report.maximum_l_s = report.maximum_l_s.max(observation.l_s); + report.maximum_l_r_prime = + report.maximum_l_r_prime.max(observation.l_r_prime); + report.maximum_work1_used = + report.maximum_work1_used.max(observation.work1_used); + report.maximum_work2_used = + report.maximum_work2_used.max(observation.work2_used); + if observation.length_update { + report.length_update_observations += 1; + report.maximum_length_update_l_r_prime_after = report + .maximum_length_update_l_r_prime_after + .max(observation.l_r_prime); + report.maximum_length_update_transient_l_r_prime = report + .maximum_length_update_transient_l_r_prime + .max(observation.transient_l_r_prime); + report.maximum_length_update_l_t = + report.maximum_length_update_l_t.max(observation.l_t); + report.maximum_length_update_work1_used = report + .maximum_length_update_work1_used + .max(observation.work1_used); + report.maximum_length_update_work2_used = report + .maximum_length_update_work2_used + .max(observation.work2_used); + if observation.l_r_prime_before + > report.maximum_length_update_l_r_prime_before + { + report.maximum_length_update_l_r_prime_before = + observation.l_r_prime_before; + report.maximum_length_update_draw = Some(draw); + report.maximum_length_update_label = Some(label); + report.maximum_length_update_step = Some(observation.step); + } + } + if observation.l_q >= 128 && factor_violation.is_none() { + factor_violation = Some((observation.step, observation.l_q)); + } + }, + ); + assert!(audit.inverse_identity_holds); + assert!(audit.terminal_gcd_state_holds); + assert!(audit.terminal_layout_holds); + report.lq7_factors_audited += 1; + if let Some((step, l_q)) = factor_violation { + report.lq7_violation_factors += 1; + if report.first_lq7_violation.is_none() { + report.first_lq7_violation = Some((draw, label, step, l_q)); + } + } + } + let repairs = + inversion::shrunken_pz_schedule::thin_factor_repairs_u256(factor); + if trace_coordinates && repairs > 0 { + let coordinates = inversion::shrunken_pz_schedule:: + thin_factor_repair_coordinates_u256(factor); + debug_assert_eq!(repairs, coordinates.len()); + for coordinate in coordinates { + eprintln!( + "TRAILMIX_SUPPORT_COORD draw={} factor={} step={} register={} observed={} available={} universal={}", + draw, + label, + coordinate.step, + coordinate.register, + coordinate.observed_width, + coordinate.available_width, + coordinate.universal_width, + ); + } + } + if repairs > 0 { + report.miss_factors += 1; + report.repair_entries += repairs; + if report.first_miss.is_none() { + report.first_miss = Some((draw, label, repairs)); + } + if max_misses.is_some_and(|limit| report.miss_factors > limit) { + return report; + } + } + } + } + report +} + +fn tail_nonce_x_op(q: u32) -> Op { + let mut op = Op::empty(); + op.kind = OperationType::X; + op.q_target = QubitId(q.into()); + op +} + +fn hash_tail_nonce(mut hasher: sha3::Shake256, nonce: u64, q0: u32, q1: u32) -> sha3::Shake256 { + for i in 0..TRAILMIX_TAIL_NONCE_BITS { + let q = if (nonce >> i) & 1 == 1 { q1 } else { q0 }; + let op = tail_nonce_x_op(q); + crate::point_add::B::update_fiat_hash_op(&mut hasher, &op); + crate::point_add::B::update_fiat_hash_op(&mut hasher, &op); + } + hasher +} + +fn report_current_support(builder: &crate::point_add::B) { + if std::env::var("TRAILMIX_SUPPORT_CHECK").ok().as_deref() != Some("1") { + return; + } + let Some(hasher) = builder.clone_fiat_hash() else { + eprintln!( + "TRAILMIX_SUPPORT no hash stream; set POINT_ADD_HASH_OPS_LEN in count-only mode" + ); + return; + }; + let draws = env_usize("TRAILMIX_SUPPORT_SHOTS", TRAILMIX_NUM_TESTS); + let report = support_report_for_xof(hasher.finalize_xof(), draws); + eprintln!( + "TRAILMIX_SUPPORT draws={} accepted={} miss_factors={} repair_entries={} first_miss={:?}", + draws, + report.accepted_shots, + report.miss_factors, + report.repair_entries, + report.first_miss + ); + if std::env::var("TRAILMIX_LQ7_SUPPORT_CHECK") + .ok() + .as_deref() + == Some("1") + { + eprintln!( + "TRAILMIX_LQ7_SUPPORT draws={} accepted={} factors={} observations={} max_l_q={} max_l_t={} max_l_s={} max_l_r_prime={} max_work1_used={} max_work2_used={} length_updates={} max_lenupd_lrp_before={} max_lenupd_lrp_after={} max_lenupd_transient_lrp={} max_lenupd_l_t={} max_lenupd_work1_used={} max_lenupd_work2_used={} max_lenupd_draw={:?} max_lenupd_label={:?} max_lenupd_step={:?} max_draw={:?} max_label={:?} max_step={:?} violations={} first_violation={:?}", + draws, + report.accepted_shots, + report.lq7_factors_audited, + report.lq7_observations, + report.maximum_l_q, + report.maximum_l_t, + report.maximum_l_s, + report.maximum_l_r_prime, + report.maximum_work1_used, + report.maximum_work2_used, + report.length_update_observations, + report.maximum_length_update_l_r_prime_before, + report.maximum_length_update_l_r_prime_after, + report.maximum_length_update_transient_l_r_prime, + report.maximum_length_update_l_t, + report.maximum_length_update_work1_used, + report.maximum_length_update_work2_used, + report.maximum_length_update_draw, + report.maximum_length_update_label, + report.maximum_length_update_step, + report.maximum_l_q_draw, + report.maximum_l_q_label, + report.maximum_l_q_step, + report.lq7_violation_factors, + report.first_lq7_violation, + ); + } +} + +fn lowq_peak_component_category(name: &str) -> &'static str { + let normalized = name.strip_suffix(".rebuilt").unwrap_or(name); + if normalized == "tx" + || normalized == "ty" + || normalized == "ec3.tx_ov" + || normalized == "ec3.ty_ov" + || normalized == "rs.divider.lambda" + || normalized == "rs.divider.dy-restored" + { + "passenger" + } else if normalized == "rs.divider.work1" { + "work1" + } else if normalized.starts_with("rs.divider.work2-pad") { + "work2_pad" + } else if normalized.starts_with("rs.divider.l-") { + "metadata" + } else if normalized == "rs.divider.iteration-parity" + || normalized == "rs.divider.phase1" + || normalized == "rs.divider.phase2" + || normalized == "rs.divider.sign" + { + "control" + } else if normalized.starts_with("rs.scheduled") + || normalized.starts_with("rs.q845") + || normalized.starts_with("rs.rotated-bitlen") + { + "transient" + } else { + "other" + } +} + +fn lowq_phase_t_bucket(phase: &str) -> &'static str { + if phase == "ec3.inv_fwd" || phase == "ec3.alt.cancel" { + "eea_core_exact" + } else if phase.contains("direct-swap") { + "direct_swap_bitlen" + } else if phase.contains("mul_canonical") { + "mul_canonical_wrappers" + } else if phase.contains("/p.bitlen") { + "other_bitlen" + } else if phase.contains("mod_mac") { + "mod_mac_wrappers" + } else if phase.starts_with("ec3.") { + "ec_wrapper_other" + } else { + "other" + } +} + +#[derive(Clone, Copy, Debug, Default)] +struct LowqRange { + min: usize, + max: usize, +} + +impl LowqRange { + fn add(&mut self, value: usize) { + if self.min == 0 && self.max == 0 { + self.min = value; + self.max = value; + } else { + self.min = self.min.min(value); + self.max = self.max.max(value); + } + } +} + +#[derive(Clone, Copy, Debug, Default)] +struct LowqComponentUse { + families: usize, + occurrences: usize, + lanes: LowqRange, +} + +fn emit_lowq_occupancy_report(builder: &mut crate::point_add::B) { + if std::env::var("TRACE_LOWQ_OCCUPANCY_REPORT") + .ok() + .as_deref() + != Some("1") + { + return; + } + + builder.close_counted_phase(); + + use crate::circuit::OperationType; + use std::collections::BTreeMap; + + let structural_t = builder.counted_kind_ops[OperationType::CCX as usize] + + builder.counted_kind_ops[OperationType::CCZ as usize]; + eprintln!( + "TRAILMIX_LOWQ_SUMMARY peak={} ops={} toffoli={} score_if_all_executed={}", + builder.peak_qubits, + builder.current_ops_len(), + structural_t, + structural_t as u128 * builder.peak_qubits as u128 + ); + + let mut by_target = BTreeMap::>::new(); + for plateau in &builder.named_peak_plateaus { + by_target.entry(plateau.target).or_default().push(plateau); + } + for (target, plateaus) in by_target { + let mut category_ranges = BTreeMap::<&'static str, LowqRange>::new(); + let mut component_uses = BTreeMap::::new(); + let mut total_occurrences = 0usize; + for plateau in &plateaus { + total_occurrences += plateau.occurrences; + let mut category_lanes = BTreeMap::<&'static str, usize>::new(); + for (component, lanes) in &plateau.live_components { + let category = lowq_peak_component_category(component); + *category_lanes.entry(category).or_default() += *lanes; + let entry = component_uses.entry(component.clone()).or_default(); + entry.families += 1; + entry.occurrences += plateau.occurrences; + entry.lanes.add(*lanes); + } + for category in [ + "passenger", + "work1", + "work2_pad", + "metadata", + "control", + "transient", + "other", + ] { + category_ranges + .entry(category) + .or_default() + .add(*category_lanes.get(category).unwrap_or(&0)); + } + } + let transient = category_ranges + .get("transient") + .copied() + .unwrap_or_default(); + eprintln!( + "TRAILMIX_LOWQ_OCCUPANCY target={} families={} occurrences={} base_range={}..{} transient_range={}..{} passenger={}..{} work1={}..{} work2_pad={}..{} metadata={}..{} control={}..{} other={}..{}", + target, + plateaus.len(), + total_occurrences, + target as usize - transient.max, + target as usize - transient.min, + transient.min, + transient.max, + category_ranges.get("passenger").map_or(0, |r| r.min), + category_ranges.get("passenger").map_or(0, |r| r.max), + category_ranges.get("work1").map_or(0, |r| r.min), + category_ranges.get("work1").map_or(0, |r| r.max), + category_ranges.get("work2_pad").map_or(0, |r| r.min), + category_ranges.get("work2_pad").map_or(0, |r| r.max), + category_ranges.get("metadata").map_or(0, |r| r.min), + category_ranges.get("metadata").map_or(0, |r| r.max), + category_ranges.get("control").map_or(0, |r| r.min), + category_ranges.get("control").map_or(0, |r| r.max), + category_ranges.get("other").map_or(0, |r| r.min), + category_ranges.get("other").map_or(0, |r| r.max), + ); + for (component, usage) in component_uses { + if lowq_peak_component_category(&component) != "transient" { + continue; + } + eprintln!( + "TRAILMIX_LOWQ_TRANSIENT target={} component={} lane_range={}..{} families={} occurrences={}", + target, + component, + usage.lanes.min, + usage.lanes.max, + usage.families, + usage.occurrences + ); + } + } + + let mut bucket_ops = BTreeMap::<&'static str, crate::point_add::PhaseResource>::new(); + for row in &builder.counted_phase_rows { + let bucket = lowq_phase_t_bucket(row.phase); + let entry = bucket_ops + .entry(bucket) + .or_insert(crate::point_add::PhaseResource { + phase: bucket, + start: 0, + end: 0, + ops: 0, + toffoli_ops: 0, + ccx_ops: 0, + ccz_ops: 0, + hmr_ops: 0, + r_ops: 0, + }); + entry.ops += row.ops; + entry.toffoli_ops += row.toffoli_ops; + entry.ccx_ops += row.ccx_ops; + entry.ccz_ops += row.ccz_ops; + entry.hmr_ops += row.hmr_ops; + entry.r_ops += row.r_ops; + entry.end += 1; + } + for bucket in [ + "eea_core_exact", + "direct_swap_bitlen", + "mul_canonical_wrappers", + "other_bitlen", + "mod_mac_wrappers", + "ec_wrapper_other", + "other", + ] { + let Some(row) = bucket_ops.get(bucket) else { + continue; + }; + let pct_milli = if structural_t == 0 { + 0 + } else { + row.toffoli_ops * 100_000 / structural_t + }; + eprintln!( + "TRAILMIX_LOWQ_T_BUCKET bucket={} ops={} toffoli={} pct={}.{:03} hmr={} resets={} phases={}", + bucket, + row.ops, + row.toffoli_ops, + pct_milli / 1000, + pct_milli % 1000, + row.hmr_ops, + row.r_ops, + row.end + ); + } +} + +fn q949_hex(bytes: &[u8]) -> String { + let mut encoded = String::with_capacity(2 * bytes.len()); + for byte in bytes { + write!(&mut encoded, "{byte:02x}").expect("write Q949 identity hex"); + } + encoded +} + +fn q949_finish_identity(hasher: sha3::Shake256) -> String { + let mut output = [0u8; 32]; + hasher.finalize_xof().read(&mut output); + q949_hex(&output) +} + +fn q949_hash_component(hasher: &mut sha3::Shake256, name: &str, bytes: &[u8]) { + hasher.update(&(name.len() as u64).to_le_bytes()); + hasher.update(name.as_bytes()); + hasher.update(&(bytes.len() as u64).to_le_bytes()); + hasher.update(bytes); +} + +#[must_use] +pub fn q949_source_identity() -> String { + Q851_RESEARCH_SOURCE_ID.to_owned() +} + +#[must_use] +pub fn q949_schedule_identity() -> String { + use inversion::shrunken_pz_schedule::{ + q949_effective_reg_los, q949_effective_reg_widths, shift_bounds, + SHRUNKEN_PZ_NSTEPS, + }; + + let mut hasher = sha3::Shake256::default(); + hasher.update(b"q949-effective-schedule-identity-v2"); + hasher.update(&(SHRUNKEN_PZ_NSTEPS as u64).to_le_bytes()); + for row in 0..SHRUNKEN_PZ_NSTEPS { + hasher.update(&(row as u64).to_le_bytes()); + for value in q949_effective_reg_widths(row) { + hasher.update(&(value as u64).to_le_bytes()); + } + for value in q949_effective_reg_los(row) { + hasher.update(&(value as u64).to_le_bytes()); + } + let (division, multiply) = shift_bounds(row); + hasher.update(&(division as u64).to_le_bytes()); + hasher.update(&(multiply as u64).to_le_bytes()); + } + q949_finish_identity(hasher) +} + +pub const Q949_ROUTE_ENV: &[&str] = &[ + "TRAILMIX_THIN_SCHEDULE", + "TRAILMIX_THIN_TRAIN", + "TRAILMIX_THIN_SEED", + "TRAILMIX_THIN_CLZ_WINDOW", + "TRAILMIX_THIN_MARGIN", + "TRAILMIX_THIN_VALIDATE", + "TRAILMIX_THIN_HELDOUT", + "TRAILMIX_THIN_REPAIR_MARGIN", + "TRAILMIX_THIN_CACHE_IN", + "TRAILMIX_THIN_LO_A_GIVEBACK", + "TRAILMIX_THIN_LO_B_GIVEBACK", + "TRAILMIX_THIN_LO_CA_GIVEBACK", + "TRAILMIX_THIN_LO_CB_GIVEBACK", + "TRAILMIX_THIN_LO_Q_GIVEBACK", + "TRAILMIX_Q_TARGET", + "TRAILMIX_Q_CAP", + "TRAILMIX_COUNTER_W", + "TRAILMIX_NO_COUNTER", + "TRAILMIX_SROT_W", + "TRAILMIX_SIGN_PARITY_Q_REUSE", + "TRAILMIX_PASSENGER_TOP_Q_REUSE", + "TRAILMIX_Q_MODEL_GUARD", + "TRAILMIX_AB_CAP", + "TRAILMIX_CACB_CAP", + "LOWQ_CLZ_DIFF_CONST_FOLD", + "LOWQ_HYBRID_CLZ", + "LOWQ_HYBRID_CLZ_KG_MCX", + "LOWQ_HYBRID_CLZ_PREFIX_PARITY", + "LOWQ_HYBRID_CLZ_NOALLOC_ADD", + "LOWQ_EXACT_CTZ", + "LOWQ_Q959_SELECTIVE_BORROW", + "LOWQ_Q958_GATED_COMPARE", + "LOWQ_Q957_TARGET683", + "LOWQ_Q956_OFF_BORROW", + "LOWQ_Q955_OFF_CANONICAL", + "LOWQ_Q954_SROT_COUNTER7", + "LOWQ_Q953_SROT_COUNTER67", + "LOWQ_Q949_AFFINE_COUNTER", + "LOWQ_Q949_ROBUST_SYMMETRIC_SCHEDULE", + "LOWQ_Q949_ROBUST_FRESH_SUPPORT_CERTIFIED", + "LOWQ_PASSENGER_TOP_LIFETIME_EXPERIMENT", + "LOWQ_BORROWED_TRANSCRIPT_EXPERIMENT", + "LOWQ_BORROWED_TRANSCRIPT_FRESH_SUPPORT_CERTIFIED", + "LOWQ_REVERSE_CA255_RELATIONAL_LOAN_EXPERIMENT", + "LOWQ_Q948_DIRECT_HCLZ_PEAK_GUARD", + "LOWQ_Q947_PASSENGER_DIRECT_HCLZ", + "LOWQ_Q947_FRESH_SUPPORT_CERTIFIED", + "LOWQ_Q946_SECOND_OWNERSHIP_RELEASE", + "LOWQ_Q946_FRESH_SUPPORT_CERTIFIED", + "LOWQ_Q945_LOCAL_HOSTS", + "LOWQ_Q945_DIRTY_PARITY_ARITHMETIC", + "LOWQ_Q944_FULL_STRUCTURAL", + "LOWQ_Q944_RESIDUAL_ONE_LANE_CUT", + "LOWQ_Q944_GATE_HOSTS", + "LOWQ_Q949_PROOF_MODE", + "LOWQ_Q949_TERMINAL_SUPPORT_CERTIFIED", + "TRAILMIX_LOW_PRESSURE_CREG_QLOAD", + "TRAILMIX_DEFER_Y_MATERIALIZE", + "TRAILMIX_ZERO_DY_NEWDX_ROUTE", + "TRAILMIX_REGISTER_SHARED_EEA", + "LOWQ_DIRECT_PREFIX_BITLEN", + "LOWQ_DIRECT_PREFIX_DIRTY_UPDATE", + "LOWQ_DIRECT_PREFIX_NO_FLAG", + "LOWQ_RS_DIRTY_ZERO_CORRECTION", + "LOWQ_REUSE_ZERO_CARRIES_FOR_PREFIX", + "LOWQ_REUSE_ZERO_CARRIES_FOR_FULL_PREFIX_SCRATCH", + "LOWQ_REUSE_ROTATED_BITLEN_SCRATCH", + "LOWQ_REUSE_COEFFICIENT_COMPARATOR_SCRATCH", + "LOWQ_Q839_PHASE_REMAINDER_SCRATCH", + "LOWQ_FUSED_ZERO_PREFIX_BITLEN", + "LOWQ_REUSE_COEFFICIENT_RAW_BITLEN_LOAN", + "LOWQ_INPLACE_ROTATED_BITLEN_BOUNDARY", + "LOWQ_LOAN_FUSED_PREFIX_SCRATCH", + "LOWQ_REGISTER_SHARED_REVERSE_DECREMENT_STREAM", + "LOWQ_REUSE_LQ_AS_SWAP_OLD_R_LENGTH", + "LOWQ_SPLIT_COEFFICIENT_ROTATION_LIFETIME", + "LOWQ_REUSE_COEFFICIENT_LESS_THAN_LANES", + "LOWQ_CALLER_SCRATCH_KG_REVERSE_DECREMENT", + "LOWQ_REUSE_CLEAN_CHAIN_FOR_COEFFICIENT_ADD", + "LOWQ_REUSE_PRESERVED_DY_TOP_FOR_PREFIX", + "LOWQ_MIXED_WIDTH_L_R_PRIME", + "LOWQ_PAIRED_BITLEN_SOURCE_COMPLEMENT", + "LOWQ_COEFFICIENT_NONNEGATIVE_X_CANCEL", + "LOWQ_Q845_LIFETIME_COEFFICIENT_FUSION", + "LOWQ_FUSE_PROMISED_SWAP_SUPPORT_LIFETIME", + "LOWQ_Q845_SWAP_ONLY_T_PRIME_LENGTH", + "LOWQ_Q851_TRUNCATED_SWAP_ONLY_GUARD", + "LOWQ_Q851_FIXED_SIGN_EVENT", + "LOWQ_Q830_DIRECT_SWAP_METADATA", + "LOWQ_Q830_COEFFICIENT_COUNTER_RELOCATION", + "LOWQ_Q828_LS_PARITY", + "LOWQ_SUB800_INPLACE_GUARD_ADDRESS", + "LOWQ_SUB800_RAW_PREFIX_PRESERVED_LENDER", + "LOWQ_SUB800_RAW_PREFIX_PREDICATE_LENDER", + "LOWQ_SUB800_MIXED_BOUNDARY_SCRATCH_EXTENSION", + "LOWQ_SUB800_ROTATED_SUPPORT_CONTROL", + "LOWQ_SUB800_BORROWED_ROTATED_UNDERFLOW", + "LOWQ_SUB800_SPLIT_MIXED_ROTATED_LENGTH", + "LOWQ_SUB800_SPLIT_SAME_ROTATED_LENGTH", + "LOWQ_SUB800_ULS_DIRTY_MCX3", + "LOWQ_SUB800_ULS_CLEAN_LENDER", + "LOWQ_SUB800_SPLIT_TWO_HIGH_ROTATED_LENGTH", + "LOWQ_SUB800_ULS_FUSED_TARGET", + "LOWQ_SUB800_SPLIT_THREE_HIGH_ROTATED_LENGTH", + "LOWQ_SUB800_ULS_DIRECT_SELECTOR", + "LOWQ_SUB800_SPLIT_FOUR_HIGH_ROTATED_LENGTH", + "LOWQ_Q827_SERIAL_SPLIT_FIVE", + "LOWQ_Q826_REMAINDER_T_PRIME_HOST", + "LOWQ_Q826_COEFFICIENT_LS_HOST", + "LOWQ_Q826_ROTATED_SWAP_T_PRIME_HOST", + "LOWQ_Q824_REMAINDER_LQ_HIGH_HOST", + "LOWQ_Q824_COEFFICIENT_LQ_HIGH_HOST", + "LOWQ_Q824_ROTATED_SWAP_LQ_HIGH_HOST", + "LOWQ_Q825_SEVEN_BIT_L_Q", + "LOWQ_Q839_SEVEN_PLATEAU_LENDERS", + "TRAILMIX_TAIL_NONCE", +]; + +#[must_use] +pub fn q949_route_identity() -> String { + let mut hasher = sha3::Shake256::default(); + hasher.update(b"q949-route-identity-v11"); + for name in Q949_ROUTE_ENV { + let value = std::env::var(name).unwrap_or_else(|_| "".to_owned()); + q949_hash_component(&mut hasher, name, value.as_bytes()); + } + q949_finish_identity(hasher) +} + +#[cfg(test)] +mod q825_source_baked_route_tests { + use super::{configure_sub1000_trailmix_route, q949_route_identity, Q949_ROUTE_ENV}; + + static ROUTE_ENV_LOCK: std::sync::Mutex<()> = std::sync::Mutex::new(()); + + struct RestoreRouteEnvironment(Vec<(&'static str, Option)>); + + impl Drop for RestoreRouteEnvironment { + fn drop(&mut self) { + for (name, value) in self.0.drain(..) { + if let Some(value) = value { + std::env::set_var(name, value); + } else { + std::env::remove_var(name); + } + } + } + } + + #[test] + fn env_free_q825_route_is_baked_and_overrides_are_hashed() { + let _lock = ROUTE_ENV_LOCK.lock().expect("Q825 route environment lock"); + let _restore = RestoreRouteEnvironment( + Q949_ROUTE_ENV + .iter() + .map(|&name| (name, std::env::var_os(name))) + .collect(), + ); + let q825_flags = [ + "LOWQ_Q826_REMAINDER_T_PRIME_HOST", + "LOWQ_Q826_COEFFICIENT_LS_HOST", + "LOWQ_Q826_ROTATED_SWAP_T_PRIME_HOST", + "LOWQ_Q825_SEVEN_BIT_L_Q", + ]; + for flag in q825_flags { + std::env::remove_var(flag); + } + + configure_sub1000_trailmix_route(); + for flag in q825_flags { + assert_eq!(std::env::var(flag).as_deref(), Ok("1")); + } + let production_route = q949_route_identity(); + + for flag in q825_flags { + std::env::set_var(flag, "0"); + configure_sub1000_trailmix_route(); + assert_eq!(std::env::var(flag).as_deref(), Ok("0")); + assert_ne!(production_route, q949_route_identity()); + std::env::set_var(flag, "1"); + } + } +} + +fn q949_builder_fiat_hash(builder: &crate::point_add::B) -> sha3::Shake256 { + builder.clone_fiat_hash().unwrap_or_else(|| { + assert!( + !builder.count_only, + "Q949 proof cannot reconstruct a count-only hash" + ); + let mut hasher = sha3::Shake256::default(); + hasher.update(b"quantum_ecc-fiat-shamir-v2"); + hasher.update(&(builder.ops.len() as u64).to_le_bytes()); + for op in &builder.ops { + crate::point_add::B::update_fiat_hash_op(&mut hasher, op); + } + hasher + }) +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q949ProofIdentity { + pub source_id: String, + pub schedule_id: String, + pub route_id: String, + pub tail_nonce: u64, + pub tail_nonce_bits: u32, + pub op_count: usize, + pub op_stream_id: String, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q925RegisterSharedProofIdentity { + pub implementation_commit: String, + pub point_add_tree: String, + pub source_id: String, + pub schedule_id: String, + pub route_id: String, + pub tail_nonce: u64, + pub tail_nonce_bits: u32, + pub op_count: usize, + pub op_stream_id: String, +} + +#[must_use] +pub fn q925_register_shared_schedule_identity() -> String { + use inversion::register_shared_eea_reference::{ + reference_active_windows, REFERENCE_LENGTH_WIDTH, REFERENCE_R_LENGTH_WIDTH, + REFERENCE_STEPS, + }; + + let mut hasher = sha3::Shake256::default(); + hasher.update(b"q925-register-shared-schedule-identity-v2"); + hasher.update(&(REFERENCE_STEPS as u64).to_le_bytes()); + hasher.update(&(REFERENCE_LENGTH_WIDTH as u64).to_le_bytes()); + hasher.update(&(REFERENCE_R_LENGTH_WIDTH as u64).to_le_bytes()); + for step in 1..=REFERENCE_STEPS { + let windows = reference_active_windows(256, step); + hasher.update(&(step as u64).to_le_bytes()); + for (start, end) in [ + windows.r_add_sub, + windows.quotient_swap, + windows.t_add_sub, + windows.length_update_t, + windows.length_update_r, + ] { + hasher.update(&(start as u64).to_le_bytes()); + hasher.update(&(end as u64).to_le_bytes()); + } + } + q949_finish_identity(hasher) +} + +#[must_use] +pub fn q925_register_shared_proof_identity( + builder: &crate::point_add::B, + implementation_commit: &str, + point_add_tree: &str, +) -> Q925RegisterSharedProofIdentity { + assert_eq!( + implementation_commit.len(), + 40, + "Q925 implementation commit must be a full Git SHA-1" + ); + assert!( + implementation_commit + .bytes() + .all(|value| value.is_ascii_hexdigit()), + "Q925 implementation commit must be hexadecimal" + ); + assert_eq!( + point_add_tree.len(), + 40, + "Q925 point-add tree must be a full Git object ID" + ); + assert!( + point_add_tree + .bytes() + .all(|value| value.is_ascii_hexdigit()), + "Q925 point-add tree must be hexadecimal" + ); + let tail_nonce = std::env::var("TRAILMIX_TAIL_NONCE") + .expect("Q925 identity requires TRAILMIX_TAIL_NONCE") + .parse::() + .expect("Q925 tail nonce must be an integer"); + assert!( + tail_nonce < (1u64 << TRAILMIX_TAIL_NONCE_BITS), + "Q925 tail nonce exceeds its encoded width" + ); + if !builder.count_only { + assert_eq!(builder.counted_ops, builder.ops.len()); + } + + let mut source_hasher = sha3::Shake256::default(); + source_hasher.update(b"q925-point-add-tree-source-binding-v2"); + source_hasher.update(point_add_tree.as_bytes()); + + Q925RegisterSharedProofIdentity { + implementation_commit: implementation_commit.to_owned(), + point_add_tree: point_add_tree.to_owned(), + source_id: q949_finish_identity(source_hasher), + schedule_id: q925_register_shared_schedule_identity(), + route_id: q949_route_identity(), + tail_nonce, + tail_nonce_bits: TRAILMIX_TAIL_NONCE_BITS, + op_count: builder.counted_ops, + op_stream_id: q949_finish_identity(q949_builder_fiat_hash(builder)), + } +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub enum Q945SupportPhase { + InvFwd, + AltCancel, +} + +impl Q945SupportPhase { + pub const fn label(self) -> &'static str { + match self { + Self::InvFwd => "ec3.inv_fwd", + Self::AltCancel => "ec3.alt.cancel", + } + } +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub struct Q945HclzSupportSite { + pub phase: Q945SupportPhase, + pub direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + pub row: usize, + pub substep: inversion::q945_local_hosts::Q945Substep, + pub form: inversion::q945_local_hosts::Q945HclzForm, + pub host: inversion::q945_local_hosts::Q945Host, +} + +#[derive(Clone, Copy, Debug, Eq, Ord, PartialEq, PartialOrd)] +pub struct Q945CarrySupportSite { + pub phase: Q945SupportPhase, + pub direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + pub row: usize, + pub substep: inversion::q945_local_hosts::Q945Substep, + pub host: inversion::q945_local_hosts::Q945Host, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945SupportSiteCount { + pub site: S, + pub checks: usize, + pub zero_entry_checks: usize, + pub restoration_checks: usize, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945SupportedHostMiss { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, + pub phase: Q945SupportPhase, + pub direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + pub row: usize, + pub substep: inversion::q945_local_hosts::Q945Substep, + pub form: Option, + pub host: inversion::q945_local_hosts::Q945Host, + pub entry_value: bool, + pub exit_value: bool, + pub reason: &'static str, + pub expected_lt: Option, + pub full_lt: Option, + pub route_lt: Option, + pub boundary: inversion::shrunken_pz_schedule::Q945HostBoundaryState, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q945SupportedNarrowCompareMiss { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, + pub phase: Q945SupportPhase, + pub coordinate: inversion::shrunken_pz_schedule::Q949NarrowCompareMiss, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q925CommittedFactor { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q925CommittedFactorCorpus { + pub requested_draws: usize, + pub accepted_draws: usize, + pub rejected_draws: usize, + pub factors: Vec, +} + +/// Materialize the exact factor corpus committed by the builder's operation +/// stream. This analysis API preserves rejected-draw accounting and performs no +/// nonce search, so downstream width claims remain tied to one fixed circuit. +#[doc(hidden)] +pub fn q925_committed_factor_corpus( + builder: &crate::point_add::B, +) -> Q925CommittedFactorCorpus { + let requested_draws = Q949_PROOF_DRAWS; + let mut xof = q949_builder_fiat_hash(builder).finalize_xof(); + let curve = secp256k1(); + let mut accepted_draws = 0usize; + let mut rejected_draws = 0usize; + let mut factors = Vec::with_capacity(Q949_PROOF_FACTORS); + for draw in 0..requested_draws { + let mut random = [[0u8; 32]; 2]; + xof.read(&mut random[0]); + xof.read(&mut random[1]); + let k1 = U256::from_le_bytes(random[0]); + let k2 = U256::from_le_bytes(random[1]); + let target = curve.mul(curve.gx, curve.gy, k1); + let other = curve.mul(curve.gx, curve.gy, k2); + if target.0 == other.0 + || (target.0.is_zero() && target.1.is_zero()) + || (other.0.is_zero() && other.1.is_zero()) + { + rejected_draws += 1; + continue; + } + accepted_draws += 1; + let result = curve.add(target.0, target.1, other.0, other.1); + factors.push(Q925CommittedFactor { + draw, + factor_label: "dx", + factor: sub_mod_p(target.0, other.0, curve.modulus), + }); + factors.push(Q925CommittedFactor { + draw, + factor_label: "qx_minus_rx", + factor: sub_mod_p(other.0, result.0, curve.modulus), + }); + } + assert_eq!(accepted_draws + rejected_draws, requested_draws); + assert_eq!(factors.len(), 2 * accepted_draws); + Q925CommittedFactorCorpus { + requested_draws, + accepted_draws, + rejected_draws, + factors, + } +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q945HostSupportReport { + pub requested_draws: usize, + pub accepted_draws: usize, + pub rejected_draws: usize, + pub factors_checked: usize, + pub hclz_host_checks: usize, + pub hclz_zero_entry_checks: usize, + pub hclz_restoration_checks: usize, + pub hclz_host_misses: usize, + pub carry_host_checks: usize, + pub carry_zero_entry_checks: usize, + pub carry_restoration_checks: usize, + pub carry_host_misses: usize, + pub carry_semantic_checks: usize, + pub carry_semantic_misses: usize, + pub row364_checks: usize, + pub row364_b80_zero_checks: usize, + pub row364_identity_checks: usize, + pub row364_misses: usize, + pub row374_q24_checks: usize, + pub row374_q24_zero_checks: usize, + pub row374_q24_noncarry_touches: usize, + pub row374_misses: usize, + pub preterminal_counter_off_checks: usize, + pub preterminal_counter_off_zero_checks: usize, + pub preterminal_counter_off_misses: usize, + pub row385_special_checks: usize, + pub row385_special_zero_checks: usize, + pub row385_special_misses: usize, + pub width_misses: usize, + pub clz_window_misses: usize, + pub narrow_compare_checks: usize, + pub narrow_compare_misses: usize, + pub division_offset_compare_checks: usize, + pub division_offset_compare_misses: usize, + pub multiply_offset_cleanup_compare_checks: usize, + pub multiply_offset_cleanup_compare_misses: usize, + pub first_host_miss: Option, + pub first_narrow_compare_miss: Option, + pub hclz_sites: Vec>, + pub carry_sites: Vec>, + pub earliest_terminal_row: usize, + pub latest_terminal_row: usize, + pub support_clean: bool, +} + +#[must_use] +pub fn q949_proof_identity(builder: &crate::point_add::B) -> Q949ProofIdentity { + let tail_nonce = std::env::var("TRAILMIX_TAIL_NONCE") + .expect("Q949 identity requires TRAILMIX_TAIL_NONCE") + .parse::() + .expect("Q949 tail nonce must be an integer"); + assert!( + tail_nonce < (1u64 << TRAILMIX_TAIL_NONCE_BITS), + "Q949 tail nonce exceeds its encoded width" + ); + if !builder.count_only { + assert_eq!(builder.counted_ops, builder.ops.len()); + } + let op_stream_id = q949_finish_identity(q949_builder_fiat_hash(builder)); + Q949ProofIdentity { + source_id: q949_source_identity(), + schedule_id: q949_schedule_identity(), + route_id: q949_route_identity(), + tail_nonce, + tail_nonce_bits: TRAILMIX_TAIL_NONCE_BITS, + op_count: builder.counted_ops, + op_stream_id, + } +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949SupportedWidthMiss { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, + pub coordinate: inversion::shrunken_pz_schedule::Q949WidthMiss, +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949SupportedClzWindowMiss { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, + pub coordinate: inversion::shrunken_pz_schedule::Q949ClzWindowMiss, +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q949WidthMissBucket { + pub direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + pub phase: inversion::shrunken_pz_schedule::Q949WidthPhase, + pub row: usize, + pub register: &'static str, + pub miss_count: usize, + pub min_observed_width: usize, + pub max_observed_width: usize, + pub available_width: usize, + pub max_excess: usize, +} + +impl Q949WidthMissBucket { + fn new(coordinate: inversion::shrunken_pz_schedule::Q949WidthMiss) -> Self { + assert!(coordinate.observed_width > coordinate.available_width); + Self { + direction: coordinate.direction, + phase: coordinate.phase, + row: coordinate.row, + register: coordinate.register, + miss_count: 1, + min_observed_width: coordinate.observed_width, + max_observed_width: coordinate.observed_width, + available_width: coordinate.available_width, + max_excess: coordinate.observed_width - coordinate.available_width, + } + } + + fn record(&mut self, coordinate: inversion::shrunken_pz_schedule::Q949WidthMiss) { + assert!(coordinate.observed_width > coordinate.available_width); + assert_eq!(self.direction, coordinate.direction); + assert_eq!(self.phase, coordinate.phase); + assert_eq!(self.row, coordinate.row); + assert_eq!(self.register, coordinate.register); + assert_eq!(self.available_width, coordinate.available_width); + self.miss_count += 1; + self.min_observed_width = self.min_observed_width.min(coordinate.observed_width); + self.max_observed_width = self.max_observed_width.max(coordinate.observed_width); + self.max_excess = self + .max_excess + .max(coordinate.observed_width - coordinate.available_width); + } +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q949ClzWindowMissBucket { + pub direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + pub row: usize, + pub register: &'static str, + pub miss_count: usize, + pub min_observed_width: usize, + pub max_observed_width: usize, + pub low: usize, + pub available_width: usize, + pub max_shortfall: usize, +} + +impl Q949ClzWindowMissBucket { + fn new(coordinate: inversion::shrunken_pz_schedule::Q949ClzWindowMiss) -> Self { + assert!(coordinate.observed_width > 0); + assert!(coordinate.observed_width <= coordinate.low); + Self { + direction: coordinate.direction, + row: coordinate.row, + register: coordinate.register, + miss_count: 1, + min_observed_width: coordinate.observed_width, + max_observed_width: coordinate.observed_width, + low: coordinate.low, + available_width: coordinate.available_width, + max_shortfall: coordinate.low + 1 - coordinate.observed_width, + } + } + + fn record(&mut self, coordinate: inversion::shrunken_pz_schedule::Q949ClzWindowMiss) { + assert!(coordinate.observed_width > 0); + assert!(coordinate.observed_width <= coordinate.low); + assert_eq!(self.direction, coordinate.direction); + assert_eq!(self.row, coordinate.row); + assert_eq!(self.register, coordinate.register); + assert_eq!(self.low, coordinate.low); + assert_eq!(self.available_width, coordinate.available_width); + self.miss_count += 1; + self.min_observed_width = self.min_observed_width.min(coordinate.observed_width); + self.max_observed_width = self.max_observed_width.max(coordinate.observed_width); + self.max_shortfall = self + .max_shortfall + .max(coordinate.low + 1 - coordinate.observed_width); + } +} + +const Q949_WIDTH_REGISTERS: [&str; 5] = ["A", "B", "ca", "cb", "q"]; +const Q949_CLZ_REGISTERS: [&str; 4] = ["A", "B", "ca", "cb"]; + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949WidthDemandWitness { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, + pub required_widths: [usize; 5], +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q949JointWidthDemand { + pub direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + pub phase: inversion::shrunken_pz_schedule::Q949WidthPhase, + pub row: usize, + pub observation_count: usize, + pub required_widths: [usize; 5], + pub available_widths: [usize; 5], + pub minimum_fixed_capacity_sum: usize, + pub slack_vs_target_683: i64, + pub component_witnesses: [Q949WidthDemandWitness; 5], +} + +#[derive(Clone, Copy, Debug, Eq, PartialEq)] +pub struct Q949ClzLowWitness { + pub draw: usize, + pub factor_label: &'static str, + pub factor: U256, + pub observed_width: usize, + pub observed_widths: [usize; 4], +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q949ClzLowBound { + pub direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + pub row: usize, + pub register: &'static str, + pub observation_count: usize, + pub nonzero_observation_count: usize, + pub zero_observation_count: usize, + pub minimum_nonzero_observed_width: Option, + pub safe_low_upper_bound: Option, + pub current_low: usize, + pub available_width: usize, + pub minimum_witness: Option, +} + +#[derive(Clone, Debug)] +struct Q949JointWidthDemandAccumulator { + direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + phase: inversion::shrunken_pz_schedule::Q949WidthPhase, + row: usize, + observation_count: usize, + required_widths: [usize; 5], + available_widths: [usize; 5], + component_witnesses: [Option; 5], +} + +impl Q949JointWidthDemandAccumulator { + fn new( + observation: inversion::shrunken_pz_schedule::Q949WidthObservation, + witness: Q949WidthDemandWitness, + ) -> Self { + let mut accumulator = Self { + direction: observation.direction, + phase: observation.phase, + row: observation.row, + observation_count: 0, + required_widths: [0; 5], + available_widths: observation.available_widths, + component_witnesses: [None; 5], + }; + accumulator.record(observation, witness); + accumulator + } + + fn record( + &mut self, + observation: inversion::shrunken_pz_schedule::Q949WidthObservation, + witness: Q949WidthDemandWitness, + ) { + assert_eq!(self.direction, observation.direction); + assert_eq!(self.phase, observation.phase); + assert_eq!(self.row, observation.row); + assert_eq!(self.available_widths, observation.available_widths); + assert_eq!(witness.required_widths, observation.required_widths); + self.observation_count += 1; + for register in 0..5 { + let required = observation.required_widths[register]; + let replace = required > self.required_widths[register] + || (required == self.required_widths[register] + && self.component_witnesses[register].is_some_and(|current| { + q949_witness_rank(witness.draw, witness.factor_label) + < q949_witness_rank(current.draw, current.factor_label) + })); + if replace || self.component_witnesses[register].is_none() { + self.required_widths[register] = required; + self.component_witnesses[register] = Some(witness); + } + } + } + + fn finish(self) -> Q949JointWidthDemand { + let minimum_fixed_capacity_sum = self.required_widths.iter().sum::(); + Q949JointWidthDemand { + direction: self.direction, + phase: self.phase, + row: self.row, + observation_count: self.observation_count, + required_widths: self.required_widths, + available_widths: self.available_widths, + minimum_fixed_capacity_sum, + slack_vs_target_683: inversion::shrunken_pz_schedule::Q949_TARGET_SUM as i64 + - minimum_fixed_capacity_sum as i64, + component_witnesses: self.component_witnesses.map(|witness| { + witness.expect("Q949 joint-width maximum is missing its witness") + }), + } + } +} + +#[derive(Clone, Debug)] +struct Q949ClzLowBoundAccumulator { + direction: inversion::shrunken_pz_schedule::Q949TraceDirection, + row: usize, + register: &'static str, + observation_count: usize, + nonzero_observation_count: usize, + zero_observation_count: usize, + minimum_nonzero_observed_width: Option, + current_low: usize, + available_width: usize, + minimum_witness: Option, +} + +impl Q949ClzLowBoundAccumulator { + fn new( + observation: inversion::shrunken_pz_schedule::Q949ClzWindowObservation, + register: usize, + witness: Q949ClzLowWitness, + ) -> Self { + let mut accumulator = Self { + direction: observation.direction, + row: observation.row, + register: Q949_CLZ_REGISTERS[register], + observation_count: 0, + nonzero_observation_count: 0, + zero_observation_count: 0, + minimum_nonzero_observed_width: None, + current_low: observation.lows[register], + available_width: observation.available_widths[register], + minimum_witness: None, + }; + accumulator.record(observation, register, witness); + accumulator + } + + fn record( + &mut self, + observation: inversion::shrunken_pz_schedule::Q949ClzWindowObservation, + register: usize, + witness: Q949ClzLowWitness, + ) { + assert_eq!(self.direction, observation.direction); + assert_eq!(self.row, observation.row); + assert_eq!(self.register, Q949_CLZ_REGISTERS[register]); + assert_eq!(self.current_low, observation.lows[register]); + assert_eq!(self.available_width, observation.available_widths[register]); + assert_eq!(witness.observed_width, observation.observed_widths[register]); + assert_eq!(witness.observed_widths, observation.observed_widths); + self.observation_count += 1; + let observed_width = observation.observed_widths[register]; + if observed_width == 0 { + self.zero_observation_count += 1; + return; + } + self.nonzero_observation_count += 1; + let replace = self + .minimum_nonzero_observed_width + .is_none_or(|minimum| observed_width < minimum) + || (self.minimum_nonzero_observed_width == Some(observed_width) + && self.minimum_witness.is_some_and(|current| { + q949_witness_rank(witness.draw, witness.factor_label) + < q949_witness_rank(current.draw, current.factor_label) + })); + if replace { + self.minimum_nonzero_observed_width = Some(observed_width); + self.minimum_witness = Some(witness); + } + } + + fn finish(self) -> Q949ClzLowBound { + Q949ClzLowBound { + direction: self.direction, + row: self.row, + register: self.register, + observation_count: self.observation_count, + nonzero_observation_count: self.nonzero_observation_count, + zero_observation_count: self.zero_observation_count, + minimum_nonzero_observed_width: self.minimum_nonzero_observed_width, + safe_low_upper_bound: self + .minimum_nonzero_observed_width + .map(|width| width - 1), + current_low: self.current_low, + available_width: self.available_width, + minimum_witness: self.minimum_witness, + } + } +} + +#[derive(Clone, Debug, Eq, PartialEq)] +pub struct Q949SupportedTraceReport { + pub requested_draws: usize, + pub accepted_shots: usize, + pub rejected_draws: usize, + pub factors_checked: usize, + pub forward_rows_checked: usize, + pub backward_rows_checked: usize, + pub row_bounds_checked: usize, + pub entry_width_checks: usize, + pub transient_width_checks: usize, + pub post_swap_width_checks: usize, + pub boundary_width_checks: usize, + pub width_context_observations: usize, + pub entry_width_misses: usize, + pub transient_width_misses: usize, + pub post_swap_width_misses: usize, + pub boundary_width_misses: usize, + pub width_misses: usize, + pub clz_window_checks: usize, + pub clz_window_misses: usize, + pub clz_context_observations: usize, + pub first_width_miss: Option, + pub first_clz_window_miss: Option, + pub width_miss_buckets: Vec, + pub clz_window_miss_buckets: Vec, + pub width_excess_histogram: Vec<(usize, usize)>, + pub clz_shortfall_histogram: Vec<(usize, usize)>, + pub joint_width_demands: Vec, + pub clz_low_bounds: Vec, + pub terminal_full_ca_checks: usize, + pub reverse_row_380_relation_checks: usize, + pub reverse_row_380_active_checks: usize, + pub reverse_row_380_inactive_checks: usize, + pub reverse_row_380_relation_failures: usize, + pub earliest_terminal_row: usize, + pub latest_terminal_row: usize, + pub max_counter: usize, +} + +fn q949_direction_label( + direction: inversion::shrunken_pz_schedule::Q949TraceDirection, +) -> &'static str { + use inversion::shrunken_pz_schedule::Q949TraceDirection; + + match direction { + Q949TraceDirection::Forward => "forward", + Q949TraceDirection::Reverse => "reverse", + } +} + +fn q949_width_phase_label( + phase: inversion::shrunken_pz_schedule::Q949WidthPhase, +) -> &'static str { + use inversion::shrunken_pz_schedule::Q949WidthPhase; + + match phase { + Q949WidthPhase::Entry => "entry", + Q949WidthPhase::Transient => "transient", + Q949WidthPhase::PostSwap => "post_swap", + Q949WidthPhase::Boundary => "boundary", + } +} + +fn q949_factor_label_index(factor_label: &str) -> usize { + match factor_label { + "dx" => 0, + "qx_minus_rx" => 1, + _ => panic!("unknown Q949 factor label: {factor_label}"), + } +} + +fn q949_witness_rank(draw: usize, factor_label: &str) -> (usize, usize) { + (draw, q949_factor_label_index(factor_label)) +} + +fn q949_width_register_index(register: &str) -> usize { + match register { + "A" => 0, + "B" => 1, + "ca" => 2, + "cb" => 3, + "q" => 4, + _ => panic!("unknown Q949 width register: {register}"), + } +} + +fn q949_joint_width_fits_current(demand: &Q949JointWidthDemand) -> bool { + (0..5).all(|register| demand.required_widths[register] <= demand.available_widths[register]) +} + +fn q949_clz_low_is_safe(bound: &Q949ClzLowBound) -> bool { + bound + .safe_low_upper_bound + .is_none_or(|safe_low| bound.current_low <= safe_low) +} + +fn q949_clz_register_index(register: &str) -> usize { + let index = q949_width_register_index(register); + assert!(index < 4, "Q949 CLZ census cannot contain register q"); + index +} + +fn q949_width_phase_miss_totals(report: &Q949SupportedTraceReport) -> [usize; 4] { + use inversion::shrunken_pz_schedule::Q949WidthPhase; + + let mut totals = [0usize; 4]; + for bucket in &report.width_miss_buckets { + let index = match bucket.phase { + Q949WidthPhase::Entry => 0, + Q949WidthPhase::Transient => 1, + Q949WidthPhase::PostSwap => 2, + Q949WidthPhase::Boundary => 3, + }; + totals[index] += bucket.miss_count; + } + totals +} + +fn q949_expected_width_context_keys() -> Vec<( + inversion::shrunken_pz_schedule::Q949TraceDirection, + inversion::shrunken_pz_schedule::Q949WidthPhase, + usize, +)> { + use inversion::shrunken_pz_schedule::{ + Q949TraceDirection, Q949WidthPhase, SHRUNKEN_PZ_NSTEPS, + }; + + let mut keys = Vec::with_capacity(Q949_WIDTH_CONTEXTS_PER_FACTOR); + for phase in [ + Q949WidthPhase::Entry, + Q949WidthPhase::Transient, + Q949WidthPhase::PostSwap, + ] { + for row in 0..SHRUNKEN_PZ_NSTEPS { + keys.push((Q949TraceDirection::Forward, phase, row)); + } + } + for row in 1..SHRUNKEN_PZ_NSTEPS { + keys.push((Q949TraceDirection::Forward, Q949WidthPhase::Boundary, row)); + } + for row in 0..SHRUNKEN_PZ_NSTEPS - 1 { + keys.push((Q949TraceDirection::Reverse, Q949WidthPhase::Boundary, row)); + } + assert_eq!(keys.len(), Q949_WIDTH_CONTEXTS_PER_FACTOR); + keys +} + +fn q949_expected_clz_low_keys( + latest_terminal_row: usize, +) -> Vec<( + inversion::shrunken_pz_schedule::Q949TraceDirection, + usize, + usize, +)> { + use inversion::shrunken_pz_schedule::Q949TraceDirection; + + let mut keys = Vec::with_capacity(2 * (latest_terminal_row + 1) * 4); + for direction in [Q949TraceDirection::Forward, Q949TraceDirection::Reverse] { + for row in 0..=latest_terminal_row { + for register in 0..4 { + keys.push((direction, row, register)); + } + } + } + keys +} + +fn q949_validate_census_report(report: &Q949SupportedTraceReport) { + use inversion::shrunken_pz_schedule::{ + q949_effective_reg_los, q949_effective_reg_widths, Q949TraceDirection, + Q949WidthPhase, SHRUNKEN_PZ_NSTEPS, + }; + + assert_eq!( + Q949_CENSUS_DIAGNOSTICS_SCHEMA, + "q949-census-diagnostics-v2", + "Q949 diagnostic schema changed without updating its validator" + ); + assert_eq!( + report.accepted_shots + report.rejected_draws, + report.requested_draws, + "Q949 draw accounting drift" + ); + assert_eq!( + report.factors_checked, + 2 * report.accepted_shots, + "Q949 factor accounting drift" + ); + let row_checks = report.factors_checked * SHRUNKEN_PZ_NSTEPS; + assert_eq!(report.forward_rows_checked, row_checks); + assert_eq!(report.backward_rows_checked, row_checks); + assert_eq!(report.row_bounds_checked, row_checks); + assert_eq!(report.entry_width_checks, row_checks * 5); + assert_eq!(report.transient_width_checks, row_checks * 5); + assert_eq!(report.post_swap_width_checks, row_checks * 5); + assert_eq!( + report.boundary_width_checks, + report.factors_checked * 2 * (SHRUNKEN_PZ_NSTEPS - 1) * 5 + ); + let total_width_checks = report.entry_width_checks + + report.transient_width_checks + + report.post_swap_width_checks + + report.boundary_width_checks; + assert_eq!( + report.width_context_observations * 5, + total_width_checks, + "Q949 width-context observation count drift" + ); + assert_eq!( + report.width_context_observations, + report.factors_checked * Q949_WIDTH_CONTEXTS_PER_FACTOR, + "Q949 width-context coverage drift" + ); + assert_eq!( + report.clz_context_observations * 4, + report.clz_window_checks, + "Q949 CLZ-context observation count drift" + ); + assert_eq!( + report.width_misses, + report.entry_width_misses + + report.transient_width_misses + + report.post_swap_width_misses + + report.boundary_width_misses, + "Q949 width phase totals drift" + ); + assert!( + report.width_misses <= report.entry_width_checks * 3 + report.boundary_width_checks + ); + assert!(report.clz_window_misses <= report.clz_window_checks); + + let expected_width_keys = q949_expected_width_context_keys(); + let actual_width_keys = report + .joint_width_demands + .iter() + .map(|demand| (demand.direction, demand.phase, demand.row)) + .collect::>(); + assert_eq!( + actual_width_keys, expected_width_keys, + "Q949 joint-width contexts are incomplete or not deterministically sorted" + ); + assert_eq!( + report.joint_width_demands.len(), + Q949_WIDTH_CONTEXTS_PER_FACTOR + ); + assert_eq!( + report + .joint_width_demands + .iter() + .map(|demand| demand.observation_count) + .sum::(), + report.width_context_observations, + "Q949 joint-width observation total drift" + ); + for demand in &report.joint_width_demands { + assert_eq!( + demand.observation_count, report.factors_checked, + "Q949 joint-width context omitted a factor" + ); + assert_eq!( + demand.available_widths, + q949_effective_reg_widths(demand.row) + ); + assert_eq!( + demand.minimum_fixed_capacity_sum, + demand.required_widths.iter().sum::() + ); + assert_eq!( + demand.slack_vs_target_683, + inversion::shrunken_pz_schedule::Q949_TARGET_SUM as i64 + - demand.minimum_fixed_capacity_sum as i64 + ); + for register in 0..5 { + assert!(demand.required_widths[register] > 0); + let witness = demand.component_witnesses[register]; + assert!(witness.draw < report.requested_draws); + q949_factor_label_index(witness.factor_label); + assert!(!witness.factor.is_zero()); + assert_eq!( + witness.required_widths[register], demand.required_widths[register], + "Q949 component maximum witness drift" + ); + } + } + + assert!(report.factors_checked > 0); + assert!(report.earliest_terminal_row <= report.latest_terminal_row); + assert!(report.latest_terminal_row < SHRUNKEN_PZ_NSTEPS); + let expected_clz_keys = q949_expected_clz_low_keys(report.latest_terminal_row); + let actual_clz_keys = report + .clz_low_bounds + .iter() + .map(|bound| { + ( + bound.direction, + bound.row, + q949_clz_register_index(bound.register), + ) + }) + .collect::>(); + assert_eq!( + actual_clz_keys, expected_clz_keys, + "Q949 CLZ low-bound contexts are incomplete or not deterministically sorted" + ); + assert_eq!( + report + .clz_low_bounds + .iter() + .map(|bound| bound.observation_count) + .sum::(), + report.clz_window_checks, + "Q949 CLZ low-bound observation total drift" + ); + for bounds in report.clz_low_bounds.chunks_exact(4) { + assert!(bounds[0].observation_count > 0); + for bound in &bounds[1..] { + assert_eq!(bound.observation_count, bounds[0].observation_count); + } + } + let clz_direction_span = (report.latest_terminal_row + 1) * 4; + for index in 0..clz_direction_span { + assert_eq!( + report.clz_low_bounds[index].observation_count, + report.clz_low_bounds[index + clz_direction_span].observation_count, + "Q949 forward/reverse CLZ coverage drift" + ); + } + for bound in &report.clz_low_bounds { + let register = q949_clz_register_index(bound.register); + assert_eq!( + bound.nonzero_observation_count + bound.zero_observation_count, + bound.observation_count + ); + assert_eq!(bound.current_low, q949_effective_reg_los(bound.row)[register]); + assert_eq!( + bound.available_width, + q949_effective_reg_widths(bound.row)[register] + ); + match ( + bound.minimum_nonzero_observed_width, + bound.safe_low_upper_bound, + bound.minimum_witness, + ) { + (Some(minimum), Some(safe_low), Some(witness)) => { + assert!(bound.nonzero_observation_count > 0); + assert!(minimum > 0); + assert_eq!(safe_low, minimum - 1); + assert_eq!(witness.observed_width, minimum); + assert_eq!(witness.observed_widths[register], minimum); + assert!(witness.draw < report.requested_draws); + q949_factor_label_index(witness.factor_label); + assert!(!witness.factor.is_zero()); + } + (None, None, None) => assert_eq!(bound.nonzero_observation_count, 0), + _ => panic!("Q949 CLZ minimum/witness presence drift"), + } + } + + let phase_totals = q949_width_phase_miss_totals(report); + assert_eq!( + phase_totals, + [ + report.entry_width_misses, + report.transient_width_misses, + report.post_swap_width_misses, + report.boundary_width_misses, + ], + "Q949 width landscape phase totals drift" + ); + assert_eq!( + report + .width_miss_buckets + .iter() + .map(|bucket| bucket.miss_count) + .sum::(), + report.width_misses, + "Q949 width landscape total drift" + ); + assert_eq!( + report.first_width_miss.is_some(), + report.width_misses != 0, + "Q949 first width miss presence drift" + ); + + for pair in report.width_miss_buckets.windows(2) { + let lhs = ( + pair[0].direction, + pair[0].phase, + pair[0].row, + q949_width_register_index(pair[0].register), + ); + let rhs = ( + pair[1].direction, + pair[1].phase, + pair[1].row, + q949_width_register_index(pair[1].register), + ); + assert!( + lhs < rhs, + "Q949 width landscape keys are not unique and sorted" + ); + } + for bucket in &report.width_miss_buckets { + let register = q949_width_register_index(bucket.register); + assert!(bucket.row < SHRUNKEN_PZ_NSTEPS); + assert!(bucket.miss_count > 0); + assert!(bucket.min_observed_width <= bucket.max_observed_width); + assert!(bucket.min_observed_width > bucket.available_width); + assert_eq!( + bucket.available_width, + q949_effective_reg_widths(bucket.row)[register] + ); + assert_eq!( + bucket.max_excess, + bucket.max_observed_width - bucket.available_width + ); + if bucket.phase != Q949WidthPhase::Boundary { + assert_eq!(bucket.direction, Q949TraceDirection::Forward); + } + } + for demand in &report.joint_width_demands { + for register in 0..5 { + let has_miss_bucket = report.width_miss_buckets.iter().any(|bucket| { + bucket.direction == demand.direction + && bucket.phase == demand.phase + && bucket.row == demand.row + && q949_width_register_index(bucket.register) == register + }); + assert_eq!( + demand.required_widths[register] > demand.available_widths[register], + has_miss_bucket, + "Q949 dense/sparse width landscape drift" + ); + } + } + if let Some(first) = report.first_width_miss { + assert!(first.draw < report.requested_draws); + assert!(matches!(first.factor_label, "dx" | "qx_minus_rx")); + assert!(!first.factor.is_zero()); + let coordinate = first.coordinate; + assert!(report.width_miss_buckets.iter().any(|bucket| { + bucket.direction == coordinate.direction + && bucket.phase == coordinate.phase + && bucket.row == coordinate.row + && bucket.register == coordinate.register + && (bucket.min_observed_width..=bucket.max_observed_width) + .contains(&coordinate.observed_width) + && bucket.available_width == coordinate.available_width + })); + } + + assert_eq!( + report + .clz_window_miss_buckets + .iter() + .map(|bucket| bucket.miss_count) + .sum::(), + report.clz_window_misses, + "Q949 CLZ landscape total drift" + ); + assert_eq!( + report.first_clz_window_miss.is_some(), + report.clz_window_misses != 0, + "Q949 first CLZ miss presence drift" + ); + for pair in report.clz_window_miss_buckets.windows(2) { + let lhs = ( + pair[0].direction, + pair[0].row, + q949_clz_register_index(pair[0].register), + ); + let rhs = ( + pair[1].direction, + pair[1].row, + q949_clz_register_index(pair[1].register), + ); + assert!( + lhs < rhs, + "Q949 CLZ landscape keys are not unique and sorted" + ); + } + for bucket in &report.clz_window_miss_buckets { + let register = q949_clz_register_index(bucket.register); + assert!(bucket.row < SHRUNKEN_PZ_NSTEPS); + assert!(bucket.miss_count > 0); + assert!(bucket.min_observed_width > 0); + assert!(bucket.min_observed_width <= bucket.max_observed_width); + assert!(bucket.max_observed_width <= bucket.low); + assert_eq!(bucket.low, q949_effective_reg_los(bucket.row)[register]); + assert_eq!( + bucket.available_width, + q949_effective_reg_widths(bucket.row)[register] + ); + assert_eq!( + bucket.max_shortfall, + bucket.low + 1 - bucket.min_observed_width + ); + } + for bound in &report.clz_low_bounds { + let has_miss_bucket = report.clz_window_miss_buckets.iter().any(|bucket| { + bucket.direction == bound.direction + && bucket.row == bound.row + && bucket.register == bound.register + }); + assert_eq!( + !q949_clz_low_is_safe(bound), + has_miss_bucket, + "Q949 dense/sparse CLZ landscape drift" + ); + } + if let Some(first) = report.first_clz_window_miss { + assert!(first.draw < report.requested_draws); + assert!(matches!(first.factor_label, "dx" | "qx_minus_rx")); + assert!(!first.factor.is_zero()); + let coordinate = first.coordinate; + assert!(report.clz_window_miss_buckets.iter().any(|bucket| { + bucket.direction == coordinate.direction + && bucket.row == coordinate.row + && bucket.register == coordinate.register + && (bucket.min_observed_width..=bucket.max_observed_width) + .contains(&coordinate.observed_width) + && bucket.low == coordinate.low + && bucket.available_width == coordinate.available_width + })); + } +} + +fn q949_census_status(report: &Q949SupportedTraceReport) -> &'static str { + if report.requested_draws == Q949_PROOF_DRAWS + && report.accepted_shots == Q949_PROOF_DRAWS + && report.rejected_draws == 0 + && report.factors_checked == Q949_PROOF_FACTORS + && report.width_misses == 0 + && report.clz_window_misses == 0 + && report.earliest_terminal_row <= report.latest_terminal_row + && report.latest_terminal_row < inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS + && report.max_counter + == inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS + - report.earliest_terminal_row + { + "pass" + } else { + "reject" + } +} + +fn q949_assert_diagnostic_identity(label: &str, identity: &str) { + assert_eq!(identity.len(), 64, "Q949 diagnostic {label} length drift"); + assert!( + identity + .bytes() + .all(|byte| byte.is_ascii_digit() || (b'a'..=b'f').contains(&byte)), + "Q949 diagnostic {label} is not lowercase hexadecimal" + ); +} + +fn q949_census_diagnostics_json( + identity: &Q949ProofIdentity, + report: &Q949SupportedTraceReport, +) -> String { + for (label, value) in [ + ("source_id", identity.source_id.as_str()), + ("schedule_id", identity.schedule_id.as_str()), + ("route_id", identity.route_id.as_str()), + ("op_stream_id", identity.op_stream_id.as_str()), + ] { + q949_assert_diagnostic_identity(label, value); + } + + let phase_totals = q949_width_phase_miss_totals(report); + let status = q949_census_status(report); + let coverage_complete = report.requested_draws == Q949_PROOF_DRAWS + && report.accepted_shots == Q949_PROOF_DRAWS + && report.rejected_draws == 0 + && report.factors_checked == Q949_PROOF_FACTORS; + let passing_width_contexts = report + .joint_width_demands + .iter() + .filter(|demand| q949_joint_width_fits_current(demand)) + .count(); + let safe_clz_low_contexts = report + .clz_low_bounds + .iter() + .filter(|bound| q949_clz_low_is_safe(bound)) + .count(); + let mut output = String::with_capacity( + 2_048 + report.joint_width_demands.len() * 1_024 + + report.clz_low_bounds.len() * 384 + + report.width_miss_buckets.len() * 192 + + report.clz_window_miss_buckets.len() * 176, + ); + write!( + &mut output, + concat!( + "{{\"schema\":\"{}\",", + "\"generator_model\":\"GPT-Codex\",\"source_bound\":true,", + "\"identity\":{{\"source_id\":\"{}\",\"schedule_id\":\"{}\",", + "\"route_id\":\"{}\",\"op_stream_id\":\"{}\",", + "\"tail_nonce\":{},\"tail_nonce_bits\":{},\"op_count\":{}}},", + "\"coverage\":{{\"requested_draws\":{},\"accepted_draws\":{},", + "\"rejected_draws\":{},\"factors_checked\":{},", + "\"expected_draws\":{},\"expected_factors\":{},", + "\"complete\":{},", + "\"forward_rows_checked\":{},\"backward_rows_checked\":{},", + "\"row_bounds_checked\":{},\"entry_width_checks\":{},", + "\"transient_width_checks\":{},\"post_swap_width_checks\":{},", + "\"boundary_width_checks\":{},", + "\"width_context_observations\":{},", + "\"joint_width_contexts\":{},\"expected_joint_width_contexts\":{},", + "\"clz_window_checks\":{},\"clz_context_observations\":{},", + "\"clz_low_bound_contexts\":{}}}," + ), + Q949_CENSUS_DIAGNOSTICS_SCHEMA, + identity.source_id, + identity.schedule_id, + identity.route_id, + identity.op_stream_id, + identity.tail_nonce, + identity.tail_nonce_bits, + identity.op_count, + report.requested_draws, + report.accepted_shots, + report.rejected_draws, + report.factors_checked, + Q949_PROOF_DRAWS, + Q949_PROOF_FACTORS, + coverage_complete, + report.forward_rows_checked, + report.backward_rows_checked, + report.row_bounds_checked, + report.entry_width_checks, + report.transient_width_checks, + report.post_swap_width_checks, + report.boundary_width_checks, + report.width_context_observations, + report.joint_width_demands.len(), + Q949_WIDTH_CONTEXTS_PER_FACTOR, + report.clz_window_checks, + report.clz_context_observations, + report.clz_low_bounds.len(), + ) + .expect("write Q949 diagnostic coverage JSON"); + + write!( + &mut output, + concat!( + "\"joint_width_demand\":{{", + "\"key\":[\"direction\",\"phase\",\"row\"],", + "\"encoding\":\"dense_all_observed_contexts\",", + "\"direction_order\":[\"forward\",\"reverse\"],", + "\"phase_order\":[\"entry\",\"transient\",\"post_swap\",\"boundary\"],", + "\"register_order\":[\"A\",\"B\",\"ca\",\"cb\",\"q\"],", + "\"factor_order\":[\"dx\",\"qx_minus_rx\"],", + "\"witness_tie_break\":\"lowest_draw_then_factor_order\",", + "\"target_sum\":683,\"context_count\":{},", + "\"expected_context_count\":{},\"observation_count\":{},", + "\"passing_contexts\":{},\"failing_contexts\":{},\"contexts\":[" + ), + report.joint_width_demands.len(), + Q949_WIDTH_CONTEXTS_PER_FACTOR, + report.width_context_observations, + passing_width_contexts, + report.joint_width_demands.len() - passing_width_contexts, + ) + .expect("write Q949 joint-width diagnostic header"); + for (context_index, demand) in report.joint_width_demands.iter().enumerate() { + if context_index != 0 { + output.push(','); + } + write!( + &mut output, + concat!( + "{{\"direction\":\"{}\",\"phase\":\"{}\",\"row\":{},", + "\"observation_count\":{},", + "\"required_widths\":[{},{},{},{},{}],", + "\"available_widths\":[{},{},{},{},{}],", + "\"minimum_fixed_capacity_sum\":{},", + "\"slack_vs_target_683\":{},\"fits_current\":{},", + "\"component_witnesses\":[" + ), + q949_direction_label(demand.direction), + q949_width_phase_label(demand.phase), + demand.row, + demand.observation_count, + demand.required_widths[0], + demand.required_widths[1], + demand.required_widths[2], + demand.required_widths[3], + demand.required_widths[4], + demand.available_widths[0], + demand.available_widths[1], + demand.available_widths[2], + demand.available_widths[3], + demand.available_widths[4], + demand.minimum_fixed_capacity_sum, + demand.slack_vs_target_683, + q949_joint_width_fits_current(demand), + ) + .expect("write Q949 joint-width diagnostic context"); + for (register, witness) in demand.component_witnesses.iter().enumerate() { + if register != 0 { + output.push(','); + } + write!( + &mut output, + concat!( + "{{\"register\":\"{}\",\"required_width\":{},", + "\"draw\":{},\"factor_label\":\"{}\",", + "\"factor\":\"0x{:064x}\",", + "\"required_widths\":[{},{},{},{},{}]}}" + ), + Q949_WIDTH_REGISTERS[register], + demand.required_widths[register], + witness.draw, + witness.factor_label, + witness.factor, + witness.required_widths[0], + witness.required_widths[1], + witness.required_widths[2], + witness.required_widths[3], + witness.required_widths[4], + ) + .expect("write Q949 joint-width maximum witness"); + } + output.push_str("]}"); + } + output.push_str("]},"); + + write!( + &mut output, + concat!( + "\"width_misses\":{{\"key\":[\"direction\",\"phase\",\"row\",\"register\"],", + "\"encoding\":\"sparse_nonzero\",", + "\"register_order\":[\"A\",\"B\",\"ca\",\"cb\",\"q\"],", + "\"total\":{},\"bucket_count\":{},", + "\"phase_totals\":{{\"entry\":{},\"transient\":{},", + "\"post_swap\":{},\"boundary\":{}}},\"buckets\":[" + ), + report.width_misses, + report.width_miss_buckets.len(), + phase_totals[0], + phase_totals[1], + phase_totals[2], + phase_totals[3], + ) + .expect("write Q949 width diagnostic header"); + for (index, bucket) in report.width_miss_buckets.iter().enumerate() { + if index != 0 { + output.push(','); + } + write!( + &mut output, + concat!( + "{{\"direction\":\"{}\",\"phase\":\"{}\",\"row\":{},", + "\"register\":\"{}\",\"count\":{},", + "\"observed_width_min\":{},\"observed_width_max\":{},", + "\"available_width\":{},\"max_excess\":{}}}" + ), + q949_direction_label(bucket.direction), + q949_width_phase_label(bucket.phase), + bucket.row, + bucket.register, + bucket.miss_count, + bucket.min_observed_width, + bucket.max_observed_width, + bucket.available_width, + bucket.max_excess, + ) + .expect("write Q949 width diagnostic bucket"); + } + output.push_str("],\"first_miss\":"); + if let Some(first) = report.first_width_miss { + let coordinate = first.coordinate; + write!( + &mut output, + concat!( + "{{\"draw\":{},\"factor_label\":\"{}\",\"factor\":\"0x{:064x}\",", + "\"direction\":\"{}\",\"phase\":\"{}\",\"row\":{},", + "\"register\":\"{}\",\"observed_width\":{},", + "\"available_width\":{},", + "\"observed_widths\":[{},{},{},{},{}],", + "\"available_widths\":[{},{},{},{},{}]}}" + ), + first.draw, + first.factor_label, + first.factor, + q949_direction_label(coordinate.direction), + q949_width_phase_label(coordinate.phase), + coordinate.row, + coordinate.register, + coordinate.observed_width, + coordinate.available_width, + coordinate.observed_widths[0], + coordinate.observed_widths[1], + coordinate.observed_widths[2], + coordinate.observed_widths[3], + coordinate.observed_widths[4], + coordinate.available_widths[0], + coordinate.available_widths[1], + coordinate.available_widths[2], + coordinate.available_widths[3], + coordinate.available_widths[4], + ) + .expect("write Q949 first width miss"); + } else { + output.push_str("null"); + } + output.push_str("},"); + + write!( + &mut output, + concat!( + "\"clz_low_bounds\":{{\"key\":[\"direction\",\"row\",\"register\"],", + "\"encoding\":\"dense_all_observed_contexts\",", + "\"direction_order\":[\"forward\",\"reverse\"],", + "\"register_order\":[\"A\",\"B\",\"ca\",\"cb\"],", + "\"factor_order\":[\"dx\",\"qx_minus_rx\"],", + "\"witness_tie_break\":\"lowest_draw_then_factor_order\",", + "\"zero_width_semantics\":\"no_low_constraint\",", + "\"context_count\":{},\"expected_context_count\":{},", + "\"observation_count\":{},", + "\"safe_contexts\":{},\"unsafe_contexts\":{},\"contexts\":[" + ), + report.clz_low_bounds.len(), + 2 * (report.latest_terminal_row + 1) * 4, + report.clz_window_checks, + safe_clz_low_contexts, + report.clz_low_bounds.len() - safe_clz_low_contexts, + ) + .expect("write Q949 CLZ low-bound diagnostic header"); + for (context_index, bound) in report.clz_low_bounds.iter().enumerate() { + if context_index != 0 { + output.push(','); + } + write!( + &mut output, + concat!( + "{{\"direction\":\"{}\",\"row\":{},\"register\":\"{}\",", + "\"observation_count\":{},\"nonzero_observation_count\":{},", + "\"zero_observation_count\":{},", + "\"minimum_nonzero_observed_width\":" + ), + q949_direction_label(bound.direction), + bound.row, + bound.register, + bound.observation_count, + bound.nonzero_observation_count, + bound.zero_observation_count, + ) + .expect("write Q949 CLZ low-bound diagnostic context"); + if let Some(minimum) = bound.minimum_nonzero_observed_width { + write!(&mut output, "{minimum}").expect("write Q949 CLZ minimum"); + } else { + output.push_str("null"); + } + output.push_str(",\"safe_low_upper_bound\":"); + if let Some(safe_low) = bound.safe_low_upper_bound { + write!(&mut output, "{safe_low}").expect("write Q949 safe CLZ low"); + } else { + output.push_str("null"); + } + write!( + &mut output, + concat!( + ",\"current_low\":{},\"available_width\":{},", + "\"current_low_safe\":{},\"minimum_witness\":" + ), + bound.current_low, + bound.available_width, + q949_clz_low_is_safe(bound), + ) + .expect("write Q949 CLZ low-bound values"); + if let Some(witness) = bound.minimum_witness { + write!( + &mut output, + concat!( + "{{\"draw\":{},\"factor_label\":\"{}\",", + "\"factor\":\"0x{:064x}\",\"observed_width\":{},", + "\"observed_widths\":[{},{},{},{}]}}" + ), + witness.draw, + witness.factor_label, + witness.factor, + witness.observed_width, + witness.observed_widths[0], + witness.observed_widths[1], + witness.observed_widths[2], + witness.observed_widths[3], + ) + .expect("write Q949 CLZ minimum witness"); + } else { + output.push_str("null"); + } + output.push('}'); + } + output.push_str("]},"); + + write!( + &mut output, + concat!( + "\"clz_window_misses\":{{\"key\":[\"direction\",\"row\",\"register\"],", + "\"encoding\":\"sparse_nonzero\",", + "\"register_order\":[\"A\",\"B\",\"ca\",\"cb\"],", + "\"total\":{},\"bucket_count\":{},\"buckets\":[" + ), + report.clz_window_misses, + report.clz_window_miss_buckets.len(), + ) + .expect("write Q949 CLZ diagnostic header"); + for (index, bucket) in report.clz_window_miss_buckets.iter().enumerate() { + if index != 0 { + output.push(','); + } + write!( + &mut output, + concat!( + "{{\"direction\":\"{}\",\"row\":{},\"register\":\"{}\",", + "\"count\":{},\"observed_width_min\":{},", + "\"observed_width_max\":{},\"low\":{},", + "\"available_width\":{},\"max_shortfall\":{}}}" + ), + q949_direction_label(bucket.direction), + bucket.row, + bucket.register, + bucket.miss_count, + bucket.min_observed_width, + bucket.max_observed_width, + bucket.low, + bucket.available_width, + bucket.max_shortfall, + ) + .expect("write Q949 CLZ diagnostic bucket"); + } + output.push_str("],\"first_miss\":"); + if let Some(first) = report.first_clz_window_miss { + let coordinate = first.coordinate; + write!( + &mut output, + concat!( + "{{\"draw\":{},\"factor_label\":\"{}\",\"factor\":\"0x{:064x}\",", + "\"direction\":\"{}\",\"row\":{},\"register\":\"{}\",", + "\"observed_width\":{},\"low\":{},\"available_width\":{}}}" + ), + first.draw, + first.factor_label, + first.factor, + q949_direction_label(coordinate.direction), + coordinate.row, + coordinate.register, + coordinate.observed_width, + coordinate.low, + coordinate.available_width, + ) + .expect("write Q949 first CLZ miss"); + } else { + output.push_str("null"); + } + write!( + &mut output, + concat!( + "}},\"reverse_ca255_relation\":{{\"row\":380,", + "\"checks\":{},\"active_checks\":{},\"inactive_checks\":{},", + "\"failures\":{},", + "\"identity\":\"ca[255]=NOT(active_and_ca_lt_cb)\"}},", + "\"terminal\":{{\"full_ca_checks\":{},", + "\"earliest_row\":{},\"latest_row\":{},\"max_counter\":{}}},", + "\"proof_status\":\"{}\"}}\n" + ), + report.reverse_row_380_relation_checks, + report.reverse_row_380_active_checks, + report.reverse_row_380_inactive_checks, + report.reverse_row_380_relation_failures, + report.terminal_full_ca_checks, + report.earliest_terminal_row, + report.latest_terminal_row, + report.max_counter, + status, + ) + .expect("write Q949 diagnostic trailer"); + + assert!( + output.starts_with("{\"schema\":\"q949-census-diagnostics-v2\","), + "Q949 diagnostic schema prefix drift" + ); + assert!(output.ends_with("}\n"), "Q949 diagnostic JSON trailer drift"); + output +} + +fn q949_emit_census_diagnostics( + path: &str, + identity: &Q949ProofIdentity, + report: &Q949SupportedTraceReport, +) { + q949_validate_census_report(report); + let phase_totals = q949_width_phase_miss_totals(report); + let status = q949_census_status(report); + eprintln!( + concat!( + "Q949_CENSUS_SUMMARY schema={} status={} draws={}/{} rejected={} ", + "factors={}/{} width_contexts={} width_observations={} ", + "width_misses={} width_buckets={} ", + "width_by_phase=entry:{},transient:{},post_swap:{},boundary:{} ", + "clz_contexts={} clz_observations={} clz_misses={} clz_buckets={}" + ), + Q949_CENSUS_DIAGNOSTICS_SCHEMA, + status, + report.accepted_shots, + report.requested_draws, + report.rejected_draws, + report.factors_checked, + Q949_PROOF_FACTORS, + report.joint_width_demands.len(), + report.width_context_observations, + report.width_misses, + report.width_miss_buckets.len(), + phase_totals[0], + phase_totals[1], + phase_totals[2], + phase_totals[3], + report.clz_low_bounds.len(), + report.clz_context_observations, + report.clz_window_misses, + report.clz_window_miss_buckets.len(), + ); + if let Some(first) = report.first_width_miss { + eprintln!( + concat!( + "Q949_CENSUS_FIRST_WIDTH draw={} factor={} factor_value=0x{:064x} ", + "direction={} phase={} row={} register={} observed={} available={}" + ), + first.draw, + first.factor_label, + first.factor, + q949_direction_label(first.coordinate.direction), + q949_width_phase_label(first.coordinate.phase), + first.coordinate.row, + first.coordinate.register, + first.coordinate.observed_width, + first.coordinate.available_width, + ); + } + if let Some(first) = report.first_clz_window_miss { + eprintln!( + concat!( + "Q949_CENSUS_FIRST_CLZ draw={} factor={} factor_value=0x{:064x} ", + "direction={} row={} register={} observed={} low={} available={}" + ), + first.draw, + first.factor_label, + first.factor, + q949_direction_label(first.coordinate.direction), + first.coordinate.row, + first.coordinate.register, + first.coordinate.observed_width, + first.coordinate.low, + first.coordinate.available_width, + ); + } + + let json = q949_census_diagnostics_json(identity, report); + std::fs::write(path, &json) + .unwrap_or_else(|error| panic!("write Q949 census diagnostics to {path}: {error}")); + eprintln!( + "Q949_CENSUS_DIAGNOSTICS schema={} path={} bytes={}", + Q949_CENSUS_DIAGNOSTICS_SCHEMA, + path, + json.len() + ); +} + +#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)] +struct Q945SiteAccumulator { + checks: usize, + zero_entry_checks: usize, + restoration_checks: usize, +} + +fn q945_phase_for_factor(factor_label: &str) -> Q945SupportPhase { + match factor_label { + "dx" => Q945SupportPhase::InvFwd, + "qx_minus_rx" => Q945SupportPhase::AltCancel, + other => panic!("unknown Q945 support factor label: {other}"), + } +} + +/// Bind all 56 prospective persistent-gate host sites to the exact committed +/// Fiat-Shamir support. This is a feasibility census only: it does not enable +/// the Q944 route or make a semantic correctness claim. +#[doc(hidden)] +pub fn q944_gate_host_feasibility_check( + builder: &crate::point_add::B, +) -> inversion::q944_gate_host_feasibility::Q944GateHostFeasibilityReport { + use inversion::q944_gate_host_feasibility::Q944GateHostCensus; + + assert_eq!( + std::env::var("LOWQ_Q945_LOCAL_HOSTS").ok().as_deref(), + Some("1"), + "Q944 gate-host census requires the Q945 local-host route" + ); + assert_eq!( + std::env::var("LOWQ_Q945_DIRTY_PARITY_ARITHMETIC") + .ok() + .as_deref(), + Some("1"), + "Q944 gate-host census requires the proved dirty-parity arithmetic" + ); + assert_ne!( + std::env::var("LOWQ_Q944_GATE_HOSTS").ok().as_deref(), + Some("1"), + "Q944 feasibility census must precede broad integration" + ); + + let requested_draws = env_usize("TRAILMIX_Q944_GATE_HOST_SHOTS", TRAILMIX_NUM_TESTS); + assert_eq!( + requested_draws, Q949_PROOF_DRAWS, + "Q944 production gate-host census requires all {Q949_PROOF_DRAWS} draws" + ); + let mut census = Q944GateHostCensus::new(requested_draws); + let mut xof = q949_builder_fiat_hash(builder).finalize_xof(); + let curve = secp256k1(); + + for draw in 0..requested_draws { + let mut random = [[0u8; 32]; 2]; + xof.read(&mut random[0]); + xof.read(&mut random[1]); + let k1 = U256::from_le_bytes(random[0]); + let k2 = U256::from_le_bytes(random[1]); + let target = curve.mul(curve.gx, curve.gy, k1); + let other = curve.mul(curve.gx, curve.gy, k2); + if target.0 == other.0 + || (target.0.is_zero() && target.1.is_zero()) + || (other.0.is_zero() && other.1.is_zero()) + { + census.record_rejected_draw(); + continue; + } + census.record_accepted_draw(); + let result = curve.add(target.0, target.1, other.0, other.1); + for (factor_label, factor) in [ + ("dx", sub_mod_p(target.0, other.0, curve.modulus)), + ( + "qx_minus_rx", + sub_mod_p(other.0, result.0, curve.modulus), + ), + ] { + let phase = q945_phase_for_factor(factor_label); + let certificate = inversion::shrunken_pz_schedule:: + q949_affine_trace_certificate_u256(factor); + // Preserve inherited semantic-route diagnostics, but do not let + // them suppress the requested structural 56-site host census. + census.record_inherited_diagnostics( + certificate.width_misses, + certificate.clz_window_misses, + certificate.narrow_compare_misses, + ); + census.record_factor( + draw, + factor_label, + factor, + phase, + &certificate.q944_gate_call_observations, + ); + } + } + + census.finish() +} + +/// Replay the exact committed Fiat-Shamir factors through the ideal PZ trace and +/// bind every Q945 local lender/carry to its value at the corresponding call +/// boundary. This returns misses instead of aborting so the first false host is +/// retained as a reproducible counterexample. +#[doc(hidden)] +pub fn q945_host_support_check(builder: &crate::point_add::B) -> Q945HostSupportReport { + use inversion::q945_local_hosts::{Q945HclzForm, Q945StateRegister, Q945Substep}; + use inversion::shrunken_pz_schedule::Q949NarrowCompareSubstep; + + assert_eq!( + std::env::var("LOWQ_Q945_LOCAL_HOSTS").ok().as_deref(), + Some("1"), + "Q945 host census requires the local-host route" + ); + assert_ne!( + std::env::var("LOWQ_Q946_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref(), + Some("1"), + "Q945 host census cannot inherit a Q946 support certificate" + ); + assert_ne!( + std::env::var("LOWQ_Q947_FRESH_SUPPORT_CERTIFIED") + .ok() + .as_deref(), + Some("1"), + "Q945 host census cannot inherit a Q947 support certificate" + ); + + let requested_draws = env_usize("TRAILMIX_Q945_HOST_SUPPORT_SHOTS", TRAILMIX_NUM_TESTS); + assert_eq!( + requested_draws, Q949_PROOF_DRAWS, + "Q945 production host census requires all {Q949_PROOF_DRAWS} draws" + ); + let mut xof = q949_builder_fiat_hash(builder).finalize_xof(); + let curve = secp256k1(); + let mut accepted_draws = 0usize; + let mut rejected_draws = 0usize; + let mut factors_checked = 0usize; + let mut hclz_host_checks = 0usize; + let mut hclz_zero_entry_checks = 0usize; + let mut hclz_restoration_checks = 0usize; + let mut hclz_host_misses = 0usize; + let mut carry_host_checks = 0usize; + let mut carry_zero_entry_checks = 0usize; + let mut carry_restoration_checks = 0usize; + let mut carry_host_misses = 0usize; + let mut carry_semantic_checks = 0usize; + let mut carry_semantic_misses = 0usize; + let mut row364_checks = 0usize; + let mut row364_b80_zero_checks = 0usize; + let mut row364_identity_checks = 0usize; + let mut row364_misses = 0usize; + let mut row374_q24_checks = 0usize; + let mut row374_q24_zero_checks = 0usize; + let mut row374_q24_noncarry_touches = 0usize; + let mut row374_misses = 0usize; + let mut preterminal_counter_off_checks = 0usize; + let mut preterminal_counter_off_zero_checks = 0usize; + let mut preterminal_counter_off_misses = 0usize; + let mut row385_special_checks = 0usize; + let mut row385_special_zero_checks = 0usize; + let mut row385_special_misses = 0usize; + let mut width_misses = 0usize; + let mut clz_window_misses = 0usize; + let mut narrow_compare_checks = 0usize; + let mut narrow_compare_misses = 0usize; + let mut division_offset_compare_checks = 0usize; + let mut division_offset_compare_misses = 0usize; + let mut multiply_offset_cleanup_compare_checks = 0usize; + let mut multiply_offset_cleanup_compare_misses = 0usize; + let mut first_host_miss = None; + let mut first_narrow_compare_miss = None; + let mut hclz_sites = BTreeMap::::new(); + let mut carry_sites = BTreeMap::::new(); + let mut earliest_terminal_row = usize::MAX; + let mut latest_terminal_row = 0usize; + + for draw in 0..requested_draws { + let mut random = [[0u8; 32]; 2]; + xof.read(&mut random[0]); + xof.read(&mut random[1]); + let k1 = U256::from_le_bytes(random[0]); + let k2 = U256::from_le_bytes(random[1]); + let target = curve.mul(curve.gx, curve.gy, k1); + let other = curve.mul(curve.gx, curve.gy, k2); + if target.0 == other.0 + || (target.0.is_zero() && target.1.is_zero()) + || (other.0.is_zero() && other.1.is_zero()) + { + rejected_draws += 1; + continue; + } + accepted_draws += 1; + let result = curve.add(target.0, target.1, other.0, other.1); + for (factor_label, factor) in [ + ("dx", sub_mod_p(target.0, other.0, curve.modulus)), + ( + "qx_minus_rx", + sub_mod_p(other.0, result.0, curve.modulus), + ), + ] { + let phase = q945_phase_for_factor(factor_label); + let certificate = inversion::shrunken_pz_schedule:: + q949_affine_trace_certificate_u256(factor); + factors_checked += 1; + width_misses += certificate.width_misses; + clz_window_misses += certificate.clz_window_misses; + narrow_compare_checks += certificate.narrow_compare_checks; + narrow_compare_misses += certificate.narrow_compare_misses; + division_offset_compare_checks += certificate.division_offset_compare_checks; + division_offset_compare_misses += certificate.division_offset_compare_misses; + multiply_offset_cleanup_compare_checks += + certificate.multiply_offset_cleanup_compare_checks; + multiply_offset_cleanup_compare_misses += + certificate.multiply_offset_cleanup_compare_misses; + earliest_terminal_row = earliest_terminal_row.min(certificate.first_terminal_row); + latest_terminal_row = latest_terminal_row.max(certificate.first_terminal_row); + if first_narrow_compare_miss.is_none() { + first_narrow_compare_miss = certificate.first_narrow_compare_miss.map( + |coordinate| Q945SupportedNarrowCompareMiss { + draw, + factor_label, + factor, + phase, + coordinate, + }, + ); + } + + for observation in certificate.q945_hclz_host_observations { + hclz_host_checks += 1; + let zero = !observation.entry_value; + let restored = observation.entry_value == observation.exit_value; + hclz_zero_entry_checks += usize::from(zero); + hclz_restoration_checks += usize::from(restored); + let site = Q945HclzSupportSite { + phase, + direction: observation.direction, + row: observation.row, + substep: observation.substep, + form: observation.form, + host: observation.host, + }; + let site_count = hclz_sites.entry(site).or_default(); + site_count.checks += 1; + site_count.zero_entry_checks += usize::from(zero); + site_count.restoration_checks += usize::from(restored); + + let failed = !zero || !restored; + hclz_host_misses += usize::from(failed); + if observation.host.register == Q945StateRegister::CounterOff { + preterminal_counter_off_checks += 1; + preterminal_counter_off_zero_checks += usize::from(zero); + preterminal_counter_off_misses += usize::from(failed); + } + if observation.row == 385 { + row385_special_checks += 1; + row385_special_zero_checks += usize::from(zero); + row385_special_misses += usize::from(failed); + } + if first_host_miss.is_none() && failed { + first_host_miss = Some(Q945SupportedHostMiss { + draw, + factor_label, + factor, + phase, + direction: observation.direction, + row: observation.row, + substep: observation.substep, + form: Some(observation.form), + host: observation.host, + entry_value: observation.entry_value, + exit_value: observation.exit_value, + reason: if !zero { + "hclz-host-nonzero-on-entry" + } else { + "hclz-host-not-restored" + }, + expected_lt: None, + full_lt: None, + route_lt: None, + boundary: observation.boundary, + }); + } + } + + for observation in certificate.q945_carry_host_observations { + carry_host_checks += 1; + carry_semantic_checks += 1; + let zero = !observation.entry_value; + let restored = observation.entry_value == observation.exit_value; + let semantic = observation.boundary_reconstructed + && observation.expected_lt == observation.full_lt + && observation.expected_lt == observation.route_lt; + carry_zero_entry_checks += usize::from(zero); + carry_restoration_checks += usize::from(restored); + carry_semantic_misses += usize::from(!semantic); + let host_failed = !zero || !restored; + carry_host_misses += usize::from(host_failed); + let site = Q945CarrySupportSite { + phase, + direction: observation.direction, + row: observation.row, + substep: observation.substep, + host: observation.host, + }; + let site_count = carry_sites.entry(site).or_default(); + site_count.checks += 1; + site_count.zero_entry_checks += usize::from(zero); + site_count.restoration_checks += usize::from(restored); + + let row364 = observation.row == 364 + && observation.substep == Q945Substep::Division; + if row364 { + row364_checks += 1; + row364_b80_zero_checks += usize::from(zero); + row364_identity_checks += usize::from(semantic); + row364_misses += usize::from(host_failed || !semantic); + } + let row374 = observation.row == 374 + && observation.substep == Q945Substep::Division; + if row374 { + assert_eq!(observation.host.register, Q945StateRegister::Q); + assert_eq!(observation.host.bit, 24); + row374_q24_checks += 1; + row374_q24_zero_checks += usize::from(zero); + row374_q24_noncarry_touches += observation.q24_noncarry_touches; + row374_misses += usize::from( + host_failed || !semantic || observation.q24_noncarry_touches != 0, + ); + } + + let failed = host_failed || !semantic || (row374 && observation.q24_noncarry_touches != 0); + if first_host_miss.is_none() && failed { + let reason = if !observation.boundary_reconstructed { + "carry-boundary-not-reconstructed" + } else if !zero { + if row364 { + "row364-b80-nonzero" + } else if row374 { + "row374-q24-nonzero" + } else { + "carry-host-nonzero-on-entry" + } + } else if !restored { + "carry-host-not-restored" + } else if observation.expected_lt != observation.full_lt { + "full-comparison-mismatch" + } else if observation.expected_lt != observation.route_lt { + if row364 { + "row364-lower80-not-a80-identity-mismatch" + } else { + "narrow-comparison-mismatch" + } + } else { + "row374-q24-noncarry-touch" + }; + first_host_miss = Some(Q945SupportedHostMiss { + draw, + factor_label, + factor, + phase, + direction: observation.direction, + row: observation.row, + substep: observation.substep, + form: None, + host: observation.host, + entry_value: observation.entry_value, + exit_value: observation.exit_value, + reason, + expected_lt: Some(observation.expected_lt), + full_lt: Some(observation.full_lt), + route_lt: Some(observation.route_lt), + boundary: observation.boundary, + }); + } + } + } + } + + assert_eq!(accepted_draws + rejected_draws, requested_draws); + assert_eq!(factors_checked, 2 * accepted_draws); + assert_eq!(hclz_sites.len(), 208, "Q945 HCLZ site coverage drift"); + assert_eq!(carry_sites.len(), 56, "Q945 carry site coverage drift"); + assert!(hclz_sites.values().all(|site| site.checks == accepted_draws)); + assert!(carry_sites.values().all(|site| site.checks == accepted_draws)); + assert_eq!(hclz_host_checks, 208 * accepted_draws); + assert_eq!(carry_host_checks, 56 * accepted_draws); + assert_eq!(row364_checks, 4 * accepted_draws); + assert_eq!(row374_q24_checks, 4 * accepted_draws); + assert_eq!(preterminal_counter_off_checks, 104 * accepted_draws); + assert_eq!(row385_special_checks, 16 * accepted_draws); + assert_eq!( + narrow_compare_checks, + division_offset_compare_checks + multiply_offset_cleanup_compare_checks + ); + assert_eq!( + narrow_compare_misses, + division_offset_compare_misses + multiply_offset_cleanup_compare_misses + ); + assert_eq!(first_host_miss.is_some(), hclz_host_misses + carry_host_misses + carry_semantic_misses != 0 || row374_q24_noncarry_touches != 0); + assert_eq!(first_narrow_compare_miss.is_some(), narrow_compare_misses != 0); + + let support_clean = rejected_draws == 0 + && width_misses == 0 + && clz_window_misses == 0 + && narrow_compare_misses == 0 + && hclz_host_misses == 0 + && carry_host_misses == 0 + && carry_semantic_misses == 0 + && row364_misses == 0 + && row374_misses == 0 + && preterminal_counter_off_misses == 0 + && row385_special_misses == 0; + Q945HostSupportReport { + requested_draws, + accepted_draws, + rejected_draws, + factors_checked, + hclz_host_checks, + hclz_zero_entry_checks, + hclz_restoration_checks, + hclz_host_misses, + carry_host_checks, + carry_zero_entry_checks, + carry_restoration_checks, + carry_host_misses, + carry_semantic_checks, + carry_semantic_misses, + row364_checks, + row364_b80_zero_checks, + row364_identity_checks, + row364_misses, + row374_q24_checks, + row374_q24_zero_checks, + row374_q24_noncarry_touches, + row374_misses, + preterminal_counter_off_checks, + preterminal_counter_off_zero_checks, + preterminal_counter_off_misses, + row385_special_checks, + row385_special_zero_checks, + row385_special_misses, + width_misses, + clz_window_misses, + narrow_compare_checks, + narrow_compare_misses, + division_offset_compare_checks, + division_offset_compare_misses, + multiply_offset_cleanup_compare_checks, + multiply_offset_cleanup_compare_misses, + first_host_miss, + first_narrow_compare_miss, + hclz_sites: hclz_sites + .into_iter() + .map(|(site, count)| Q945SupportSiteCount { + site, + checks: count.checks, + zero_entry_checks: count.zero_entry_checks, + restoration_checks: count.restoration_checks, + }) + .collect(), + carry_sites: carry_sites + .into_iter() + .map(|(site, count)| Q945SupportSiteCount { + site, + checks: count.checks, + zero_entry_checks: count.zero_entry_checks, + restoration_checks: count.restoration_checks, + }) + .collect(), + earliest_terminal_row, + latest_terminal_row, + support_clean, + } +} + +/// Replay every factor selected by the exact circuit Fiat-Shamir stream through +/// the ideal PZ transition and the explicit/affine terminal-counter differential. +/// This is deliberately separate from profiling: width and CLZ misses are +/// retained while the complete census runs, then any miss rejects the proof. +#[doc(hidden)] +pub fn q949_supported_trace_check(builder: &crate::point_add::B) -> Q949SupportedTraceReport { + use inversion::shrunken_pz_schedule::{Q949TraceDirection, Q949WidthPhase}; + use std::collections::btree_map::Entry; + + assert_eq!( + std::env::var("LOWQ_Q949_AFFINE_COUNTER").ok().as_deref(), + Some("1"), + "Q949 supported-trace proof requires the affine route" + ); + let diagnostics_path = std::env::var(Q949_CENSUS_DIAGNOSTICS_OUT_ENV).unwrap_or_else(|_| { + panic!("{Q949_CENSUS_DIAGNOSTICS_OUT_ENV} is required for the Q949 proof census") + }); + assert!( + !diagnostics_path.is_empty(), + "{Q949_CENSUS_DIAGNOSTICS_OUT_ENV} cannot be empty" + ); + let identity = q949_proof_identity(builder); + let hasher = q949_builder_fiat_hash(builder); + let requested_draws = env_usize("TRAILMIX_Q949_PROOF_SHOTS", TRAILMIX_NUM_TESTS); + assert_eq!( + requested_draws, Q949_PROOF_DRAWS, + "Q949 production proof requires the full {Q949_PROOF_DRAWS}-draw census" + ); + let curve = secp256k1(); + let mut xof = hasher.finalize_xof(); + let mut accepted_shots = 0usize; + let mut rejected_draws = 0usize; + let mut factors_checked = 0usize; + let mut forward_rows_checked = 0usize; + let mut backward_rows_checked = 0usize; + let mut row_bounds_checked = 0usize; + let mut entry_width_checks = 0usize; + let mut transient_width_checks = 0usize; + let mut post_swap_width_checks = 0usize; + let mut boundary_width_checks = 0usize; + let mut width_context_observations = 0usize; + let mut entry_width_misses = 0usize; + let mut transient_width_misses = 0usize; + let mut post_swap_width_misses = 0usize; + let mut boundary_width_misses = 0usize; + let mut width_misses = 0usize; + let mut clz_window_checks = 0usize; + let mut clz_window_misses = 0usize; + let mut clz_context_observations = 0usize; + let mut first_width_miss = None; + let mut first_clz_window_miss = None; + let mut width_miss_buckets: BTreeMap< + (Q949TraceDirection, Q949WidthPhase, usize, usize), + Q949WidthMissBucket, + > = BTreeMap::new(); + let mut clz_window_miss_buckets: BTreeMap< + (Q949TraceDirection, usize, usize), + Q949ClzWindowMissBucket, + > = BTreeMap::new(); + let mut width_excess_histogram = BTreeMap::::new(); + let mut clz_shortfall_histogram = BTreeMap::::new(); + let mut joint_width_demands: BTreeMap< + (Q949TraceDirection, Q949WidthPhase, usize), + Q949JointWidthDemandAccumulator, + > = BTreeMap::new(); + let mut clz_low_bounds: BTreeMap< + (Q949TraceDirection, usize, usize), + Q949ClzLowBoundAccumulator, + > = BTreeMap::new(); + let mut terminal_full_ca_checks = 0usize; + let mut reverse_row_380_relation_checks = 0usize; + let mut reverse_row_380_active_checks = 0usize; + let mut reverse_row_380_inactive_checks = 0usize; + let mut reverse_row_380_relation_failures = 0usize; + let mut earliest_terminal_row = usize::MAX; + let mut latest_terminal_row = 0usize; + let mut max_counter = 0usize; + + for draw in 0..requested_draws { + let mut random = [[0u8; 32]; 2]; + xof.read(&mut random[0]); + xof.read(&mut random[1]); + let k1 = U256::from_le_bytes(random[0]); + let k2 = U256::from_le_bytes(random[1]); + let target = curve.mul(curve.gx, curve.gy, k1); + let other = curve.mul(curve.gx, curve.gy, k2); + if target.0 == other.0 + || (target.0.is_zero() && target.1.is_zero()) + || (other.0.is_zero() && other.1.is_zero()) + { + rejected_draws += 1; + continue; + } + let result = curve.add(target.0, target.1, other.0, other.1); + accepted_shots += 1; + for (factor_label, factor) in [ + ("dx", sub_mod_p(target.0, other.0, curve.modulus)), + ( + "qx_minus_rx", + sub_mod_p(other.0, result.0, curve.modulus), + ), + ] { + let certificate = inversion::shrunken_pz_schedule:: + q949_affine_trace_certificate_u256(factor); + factors_checked += 1; + forward_rows_checked += certificate.rows_forward_checked; + backward_rows_checked += certificate.rows_backward_checked; + row_bounds_checked += certificate.row_bounds_checked; + entry_width_checks += certificate.entry_width_checks; + transient_width_checks += certificate.transient_width_checks; + post_swap_width_checks += certificate.post_swap_width_checks; + boundary_width_checks += certificate.boundary_width_checks; + entry_width_misses += certificate.entry_width_misses; + transient_width_misses += certificate.transient_width_misses; + post_swap_width_misses += certificate.post_swap_width_misses; + boundary_width_misses += certificate.boundary_width_misses; + width_misses += certificate.width_misses; + clz_window_checks += certificate.clz_window_checks; + clz_window_misses += certificate.clz_window_misses; + assert_eq!( + certificate.width_observations.len(), + Q949_WIDTH_CONTEXTS_PER_FACTOR, + "Q949 factor width-context count drift" + ); + width_context_observations += certificate.width_observations.len(); + for observation in &certificate.width_observations { + let key = (observation.direction, observation.phase, observation.row); + let witness = Q949WidthDemandWitness { + draw, + factor_label, + factor, + required_widths: observation.required_widths, + }; + match joint_width_demands.entry(key) { + Entry::Vacant(entry) => { + entry.insert(Q949JointWidthDemandAccumulator::new( + *observation, + witness, + )); + } + Entry::Occupied(mut entry) => { + entry.get_mut().record(*observation, witness) + } + } + } + assert_eq!( + certificate.clz_window_observations.len() * 4, + certificate.clz_window_checks, + "Q949 factor CLZ-context count drift" + ); + clz_context_observations += certificate.clz_window_observations.len(); + for observation in &certificate.clz_window_observations { + for register in 0..4 { + let key = (observation.direction, observation.row, register); + let witness = Q949ClzLowWitness { + draw, + factor_label, + factor, + observed_width: observation.observed_widths[register], + observed_widths: observation.observed_widths, + }; + match clz_low_bounds.entry(key) { + Entry::Vacant(entry) => { + entry.insert(Q949ClzLowBoundAccumulator::new( + *observation, + register, + witness, + )); + } + Entry::Occupied(mut entry) => { + entry.get_mut().record(*observation, register, witness) + } + } + } + } + if first_width_miss.is_none() { + first_width_miss = certificate.first_width_miss.map(|coordinate| { + Q949SupportedWidthMiss { + draw, + factor_label, + factor, + coordinate, + } + }); + } + if first_clz_window_miss.is_none() { + first_clz_window_miss = + certificate + .first_clz_window_miss + .map(|coordinate| Q949SupportedClzWindowMiss { + draw, + factor_label, + factor, + coordinate, + }); + } + assert_eq!( + certificate.width_miss_coordinates.len(), + certificate.width_misses, + "Q949 factor width-miss coordinate count drift" + ); + for coordinate in &certificate.width_miss_coordinates { + let register = q949_width_register_index(coordinate.register); + assert_eq!( + coordinate.observed_width, + coordinate.observed_widths[register] + ); + assert_eq!( + coordinate.available_width, + coordinate.available_widths[register] + ); + let excess = coordinate.observed_width - coordinate.available_width; + assert!(excess > 0); + *width_excess_histogram.entry(excess).or_default() += 1; + let key = ( + coordinate.direction, + coordinate.phase, + coordinate.row, + register, + ); + match width_miss_buckets.entry(key) { + Entry::Vacant(entry) => { + entry.insert(Q949WidthMissBucket::new(*coordinate)); + } + Entry::Occupied(mut entry) => entry.get_mut().record(*coordinate), + } + } + assert_eq!( + certificate.clz_window_miss_coordinates.len(), + certificate.clz_window_misses, + "Q949 factor CLZ-miss coordinate count drift" + ); + for coordinate in &certificate.clz_window_miss_coordinates { + let shortfall = coordinate.low + 1 - coordinate.observed_width; + assert!(shortfall > 0); + *clz_shortfall_histogram.entry(shortfall).or_default() += 1; + let key = ( + coordinate.direction, + coordinate.row, + q949_clz_register_index(coordinate.register), + ); + match clz_window_miss_buckets.entry(key) { + Entry::Vacant(entry) => { + entry.insert(Q949ClzWindowMissBucket::new(*coordinate)); + } + Entry::Occupied(mut entry) => entry.get_mut().record(*coordinate), + } + } + terminal_full_ca_checks += certificate.terminal_full_ca_checks; + reverse_row_380_relation_checks += certificate.reverse_row_380_relation_checks; + reverse_row_380_active_checks += certificate.reverse_row_380_active_checks; + reverse_row_380_inactive_checks += certificate.reverse_row_380_inactive_checks; + reverse_row_380_relation_failures += certificate.reverse_row_380_relation_failures; + earliest_terminal_row = earliest_terminal_row.min(certificate.first_terminal_row); + latest_terminal_row = latest_terminal_row.max(certificate.first_terminal_row); + max_counter = max_counter.max(certificate.max_counter); + } + } + let report = Q949SupportedTraceReport { + requested_draws, + accepted_shots, + rejected_draws, + factors_checked, + forward_rows_checked, + backward_rows_checked, + row_bounds_checked, + entry_width_checks, + transient_width_checks, + post_swap_width_checks, + boundary_width_checks, + width_context_observations, + entry_width_misses, + transient_width_misses, + post_swap_width_misses, + boundary_width_misses, + width_misses, + clz_window_checks, + clz_window_misses, + clz_context_observations, + first_width_miss, + first_clz_window_miss, + width_miss_buckets: width_miss_buckets.into_values().collect(), + clz_window_miss_buckets: clz_window_miss_buckets.into_values().collect(), + width_excess_histogram: width_excess_histogram.into_iter().collect(), + clz_shortfall_histogram: clz_shortfall_histogram.into_iter().collect(), + joint_width_demands: joint_width_demands + .into_values() + .map(Q949JointWidthDemandAccumulator::finish) + .collect(), + clz_low_bounds: clz_low_bounds + .into_values() + .map(Q949ClzLowBoundAccumulator::finish) + .collect(), + terminal_full_ca_checks, + reverse_row_380_relation_checks, + reverse_row_380_active_checks, + reverse_row_380_inactive_checks, + reverse_row_380_relation_failures, + earliest_terminal_row, + latest_terminal_row, + max_counter, + }; + + q949_emit_census_diagnostics(&diagnostics_path, &identity, &report); + assert_eq!( + report.accepted_shots, Q949_PROOF_DRAWS, + "Q949 census did not admit every draw; rejected={}", + report.rejected_draws + ); + assert_eq!(report.factors_checked, Q949_PROOF_FACTORS); + assert_eq!( + report.reverse_row_380_relation_checks, + report.factors_checked, + "Q949 reverse row-380 relation coverage drift" + ); + assert_eq!( + report.reverse_row_380_active_checks + report.reverse_row_380_inactive_checks, + report.reverse_row_380_relation_checks, + "Q949 reverse row-380 active/off partition drift" + ); + assert!( + report.reverse_row_380_relation_failures <= report.reverse_row_380_relation_checks, + "Q949 reverse row-380 relation failure count drift" + ); + assert_eq!( + report.forward_rows_checked, + Q949_PROOF_FACTORS * inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS + ); + assert_eq!(report.forward_rows_checked, report.backward_rows_checked); + assert_eq!(report.forward_rows_checked, report.row_bounds_checked); + assert_eq!( + report.entry_width_checks, + Q949_PROOF_FACTORS * inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS * 5 + ); + assert_eq!(report.entry_width_checks, report.transient_width_checks); + assert_eq!(report.entry_width_checks, report.post_swap_width_checks); + assert_eq!( + report.boundary_width_checks, + Q949_PROOF_FACTORS + * 2 + * (inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS - 1) + * 5 + ); + assert_eq!( + report + .width_excess_histogram + .iter() + .map(|(_, count)| count) + .sum::(), + report.width_misses, + "Q949 exact width-excess histogram does not cover every miss" + ); + assert_eq!( + report + .clz_shortfall_histogram + .iter() + .map(|(_, count)| count) + .sum::(), + report.clz_window_misses, + "Q949 exact CLZ-shortfall histogram does not cover every miss" + ); + let diagnostic_rejection_report = std::env::var("Q949_DIAGNOSTIC_REJECTION_REPORT") + .ok() + .as_deref() + == Some("1"); + if !diagnostic_rejection_report { + assert_eq!( + report.width_misses, 0, + "Q949 support width census failed after all factors; entry={} transient={} post_swap={} boundary={} first={:?}", + report.entry_width_misses, + report.transient_width_misses, + report.post_swap_width_misses, + report.boundary_width_misses, + report.first_width_miss, + ); + assert_eq!( + report.clz_window_misses, 0, + "Q949 CLZ-window census failed after all factors; first={:?}", + report.first_clz_window_miss, + ); + } + assert!(report.earliest_terminal_row <= report.latest_terminal_row); + assert!( + report.latest_terminal_row < inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS + ); + assert_eq!( + report.max_counter, + inversion::shrunken_pz_schedule::SHRUNKEN_PZ_NSTEPS + - report.earliest_terminal_row, + "Q949 terminal count/earliest-row relation drift" + ); + assert!(report.max_counter < 256, "Q949 affine terminal counter overflow"); + report +} + +fn search_tail_nonce(builder: &crate::point_add::B, q0: u32, q1: u32) { + let limit = env_usize("TRAILMIX_TAIL_NONCE_SEARCH", 0); + if limit == 0 { + return; + } + let Some(base_hasher) = builder.clone_fiat_hash() else { + eprintln!( + "TRAILMIX_TAIL_SEARCH no hash stream; set POINT_ADD_HASH_OPS_LEN=base_ops+96 in count-only mode" + ); + return; + }; + let start = env_u64("TRAILMIX_TAIL_NONCE_START", 0); + let draws = env_usize("TRAILMIX_TAIL_NONCE_SHOTS", TRAILMIX_NUM_TESTS); + let trace = std::env::var("TRAILMIX_TAIL_NONCE_TRACE").is_ok(); + let trace_clean = std::env::var("TRAILMIX_TAIL_NONCE_TRACE_CLEAN") + .ok() + .as_deref() + == Some("1"); + let continue_after_clean = std::env::var("TRAILMIX_TAIL_NONCE_CONTINUE") + .ok() + .as_deref() + == Some("1"); + let early_miss = std::env::var("TRAILMIX_TAIL_NONCE_EARLY_MISS") + .ok() + .as_deref() + == Some("1"); + let default_threads = std::thread::available_parallelism() + .map(|n| n.get()) + .unwrap_or(1); + let threads = env_usize("TRAILMIX_TAIL_NONCE_THREADS", default_threads) + .max(1) + .min(limit.max(1)); + + let results: Vec<(Option<(u64, TrailMixSupportReport)>, Option)> = + std::thread::scope(|scope| { + let mut handles = Vec::with_capacity(threads); + for tid in 0..threads { + let base_hasher = base_hasher.clone(); + handles.push(scope.spawn(move || { + let mut best: Option<(u64, TrailMixSupportReport)> = None; + let mut clean: Option = None; + let mut off = tid; + while off < limit { + let nonce = start.wrapping_add(off as u64); + let hasher = hash_tail_nonce(base_hasher.clone(), nonce, q0, q1); + let mut xof = hasher.finalize_xof(); + let report = support_report_for_xof_limited( + &mut xof, + draws, + early_miss.then_some(0), + ); + if trace { + eprintln!( + "TRAILMIX_TAIL_SEARCH nonce={} miss_factors={} repair_entries={} first_miss={:?}", + nonce, report.miss_factors, report.repair_entries, report.first_miss + ); + } + let better = best.as_ref().map_or(true, |(_, b)| { + (report.miss_factors, report.repair_entries) + < (b.miss_factors, b.repair_entries) + }); + if better { + best = Some((nonce, report.clone())); + } + if report.miss_factors == 0 { + if trace_clean { + eprintln!("TRAILMIX_TAIL_SEARCH_CANDIDATE nonce={nonce}"); + } + clean = Some(clean.map_or(nonce, |old| old.min(nonce))); + if !continue_after_clean { + break; + } + } + off += threads; + } + (best, clean) + })); + } + handles + .into_iter() + .map(|h| h.join().expect("tail nonce search worker panicked")) + .collect() + }); + + let mut best: Option<(u64, TrailMixSupportReport)> = None; + let mut clean: Option = None; + for (worker_best, worker_clean) in results { + if let Some(nonce) = worker_clean { + clean = Some(clean.map_or(nonce, |old| old.min(nonce))); + } + if let Some((nonce, report)) = worker_best { + let better = best.as_ref().map_or(true, |(best_nonce, b)| { + (report.miss_factors, report.repair_entries, nonce) + < (b.miss_factors, b.repair_entries, *best_nonce) + }); + if better { + best = Some((nonce, report)); + } + } + } + if let Some((nonce, report)) = best { + eprintln!( + "TRAILMIX_TAIL_SEARCH_BEST nonce={} accepted={} miss_factors={} repair_entries={} first_miss={:?} searched={} threads={}", + nonce, + report.accepted_shots, + report.miss_factors, + report.repair_entries, + report.first_miss, + limit, + threads + ); + } + if let Some(nonce) = clean { + eprintln!("TRAILMIX_TAIL_SEARCH_CLEAN nonce={nonce}"); + } +} + +pub fn build_builder() -> crate::point_add::B { + configure_sub1000_trailmix_route(); + // Optional zero-preserving padding for exact-qubit novelty entries. The + // lanes are allocated before point addition and held across the Q814 peak, + // so N padding lanes produce an exact Q(814 + N) circuit. Each lane is + // touched by X;X to make the otherwise idle allocation explicit while + // preserving |0>. Production/frontier builds leave this unset. + const NOVELTY_PAD_DEFAULT: usize = 0; + let novelty_pad_qubits = std::env::var("TRAILMIX_NOVELTY_PAD_QUBITS") + .ok() + .map(|raw| { + raw.parse::() + .expect("TRAILMIX_NOVELTY_PAD_QUBITS must be a non-negative integer") + }) + .unwrap_or(NOVELTY_PAD_DEFAULT); + assert!( + novelty_pad_qubits <= 4096, + "TRAILMIX_NOVELTY_PAD_QUBITS is unexpectedly large" + ); + if std::env::var("TRACE_Q839_LENDER_PROOF").ok().as_deref() == Some("1") { + let report = + inversion::register_shared_eea_reference::exhaustive_q839_seven_plateau_lender_check(); + eprintln!("TRAILMIX_Q839_LENDER_PROOF {report:?}"); + } + if std::env::var("TRACE_Q825_LQ6_TRUNCATED_PROOF") + .ok() + .as_deref() + == Some("1") + { + let (cases, phases, inverse_pairs) = + inversion::register_shared_eea_reference::q825_lq6_truncated_component_bounded_proof_summary(); + eprintln!( + "TRAILMIX_Q825_LQ6_TRUNCATED_PROOF cases={cases} phase_clean_checks={phases} inverse_pair_checks={inverse_pairs}" + ); + if std::env::var("TRACE_Q825_LQ6_TRUNCATED_PROOF_ONLY") + .ok() + .as_deref() + == Some("1") + { + std::process::exit(0); + } + } + if std::env::var("TRACE_Q826_ROTATED_SWAP_HOST_PROOF") + .ok() + .as_deref() + == Some("1") + { + let (shots, phases, ancillas) = + inversion::register_shared_eea_reference::q825_lq6_direct_swap_smoke_check(); + eprintln!( + "TRAILMIX_Q826_ROTATED_SWAP_HOST_PROOF shots={shots} phase_clean_checks={phases} ancilla_clean_checks={ancillas}" + ); + if std::env::var("TRACE_Q826_ROTATED_SWAP_HOST_PROOF_ONLY") + .ok() + .as_deref() + == Some("1") + { + std::process::exit(0); + } + } + + // Reserve the source-baked paper2607 stream exactly; avoiding the older + // 1,355,086,804-record reservation is necessary for the 64 GiB + // submission-server envelope. + // Vec can still grow for an explicitly overridden experimental route. + let ops_capacity = if inversion::paper2607_eea::enabled() { + // Exact count-only composition for the fused-R/midpoint-tail stream. + // Streaming builds skip this reservation entirely; retain the exact + // value for explicit non-streaming diagnostics. + // Exact Q814 Aux2 whole-circuit count. Reserving the final length + // avoids geometric Vec growth above the 64 GiB evaluator envelope. + 1_202_156_283 + 3 * novelty_pad_qubits + } else { + 751_661_003 + }; + let mut circ = circuit::Circuit::new_with_ops_capacity(ops_capacity); + circ.set_section("trailmix_shrunken_pz"); + let mut tx = circ.alloc_qreg_bits("tx", 256); + let mut ty = circ.alloc_qreg_bits("ty", 256); + let ox: Vec = (0..256).map(|_| circ.alloc_input_bit()).collect(); + let oy: Vec = (0..256).map(|_| circ.alloc_input_bit()).collect(); + + let novelty_padding = circ.alloc_qreg_bits("novelty-exact-qubit-padding", novelty_pad_qubits); + for lane in &novelty_padding { + circ.x(lane); + circ.x(lane); + } + + ec::point_add::ec_add_inplace_shrunken_pz(&mut circ, &mut tx, &mut ty, &ox, &oy); + + for lane in novelty_padding { + circ.zero_and_free(lane); + } + + let mut out = std::mem::take(&mut tx); + out.extend(std::mem::take(&mut ty)); + let out = circ.defragment(out); + let tail_q0 = out[0].id(); + let tail_q1 = out[1].id(); + circ.declare_registers(&out[..256], &out[256..512], &ox, &oy); + + search_tail_nonce(&circ.b, tail_q0, tail_q1); + + if let Some(nonce) = std::env::var("TRAILMIX_TAIL_NONCE") + .ok() + .and_then(|s| s.parse::().ok()) + { + circ.set_section("trailmix_tail_nonce"); + for i in 0..TRAILMIX_TAIL_NONCE_BITS { + let q = if (nonce >> i) & 1 == 1 { + &out[1] + } else { + &out[0] + }; + circ.x(q); + circ.x(q); + } + } + + let _ = circ.destroy_sim(out); + let mut builder = circ.into_builder(); + if std::env::var("TRACE_STRUCTURAL_COUNT").ok().as_deref() == Some("1") { + let structural_t = builder.counted_kind_ops[OperationType::CCX as usize] + + builder.counted_kind_ops[OperationType::CCZ as usize]; + eprintln!( + "TRAILMIX_STRUCTURAL_COUNT live_qubits={} physical_qubits={} ops={} toffoli={}", + builder.peak_qubits, + builder.next_qubit, + builder.current_ops_len(), + structural_t + ); + let coverage = inversion::register_shared_eea_reference::sub800_q839_route_coverage(); + eprintln!("TRAILMIX_Q839_ROUTE_COVERAGE {coverage:?}"); + } + if std::env::var_os("TRACE_NAMED_PEAK_TARGET").is_some() + || std::env::var_os("TRACE_NAMED_PEAK_TARGETS").is_some() + { + eprintln!( + "TRAILMIX_NAMED_PEAK_CENSUS targets={} families={}", + std::env::var("TRACE_NAMED_PEAK_TARGETS") + .or_else(|_| std::env::var("TRACE_NAMED_PEAK_TARGET")) + .unwrap_or_default(), + builder.named_peak_plateaus.len() + ); + for (index, plateau) in builder.named_peak_plateaus.iter().enumerate() { + let components = plateau + .live_components + .iter() + .map(|(name, lanes)| format!("{name}={lanes}")) + .collect::>() + .join(","); + eprintln!( + "TRAILMIX_NAMED_PEAK family={} target={} phase={} trigger={} occurrences={} allocation_serial={}..{} ops_idx={}..{} live={}", + index, + plateau.target, + plateau.phase, + plateau.trigger_allocation, + plateau.occurrences, + plateau.first_allocation_serial, + plateau.last_allocation_serial, + plateau.first_ops_idx, + plateau.last_ops_idx, + components + ); + } + } + emit_lowq_occupancy_report(&mut builder); + report_current_support(&builder); + if std::env::var("TRACE_PHASE_OPS").is_ok() { + use std::collections::BTreeMap; + + builder.close_counted_phase(); + let top_n = std::env::var("TRACE_PHASE_OPS_TOP") + .ok() + .and_then(|s| s.parse::().ok()) + .unwrap_or(40); + let mut rows = builder.counted_phase_rows.clone(); + rows.sort_by(|a, b| b.ops.cmp(&a.ops).then_with(|| a.phase.cmp(b.phase))); + eprintln!("=== TrailMix count-only per-phase ops ==="); + eprintln!( + "{:<56} {:>12} {:>12} {:>12} {:>12}", + "phase", "ops", "toffoli", "hmr", "r" + ); + for row in rows.into_iter().take(top_n) { + eprintln!( + "{:<56} {:>12} {:>12} {:>12} {:>12}", + row.phase, row.ops, row.toffoli_ops, row.hmr_ops, row.r_ops + ); + } + let mut by_phase: BTreeMap<&'static str, crate::point_add::PhaseResource> = + BTreeMap::new(); + for row in &builder.counted_phase_rows { + let entry = by_phase + .entry(row.phase) + .or_insert(crate::point_add::PhaseResource { + phase: row.phase, + start: 0, + end: 0, + ops: 0, + toffoli_ops: 0, + ccx_ops: 0, + ccz_ops: 0, + hmr_ops: 0, + r_ops: 0, + }); + entry.ops += row.ops; + entry.toffoli_ops += row.toffoli_ops; + entry.ccx_ops += row.ccx_ops; + entry.ccz_ops += row.ccz_ops; + entry.hmr_ops += row.hmr_ops; + entry.r_ops += row.r_ops; + } + let mut agg: Vec<_> = by_phase.into_values().collect(); + agg.sort_by(|a, b| b.ops.cmp(&a.ops).then_with(|| a.phase.cmp(b.phase))); + eprintln!("=== TrailMix aggregate per-phase ops ==="); + eprintln!( + "{:<56} {:>12} {:>12} {:>12} {:>12}", + "phase", "ops", "toffoli", "hmr", "r" + ); + for row in agg.into_iter().take(top_n) { + eprintln!( + "{:<56} {:>12} {:>12} {:>12} {:>12}", + row.phase, row.ops, row.toffoli_ops, row.hmr_ops, row.r_ops + ); + } + } + if std::env::var("TRACE_PEAK").is_ok() || std::env::var("TRACE_PHASE_ACTIVE").is_ok() { + builder.close_phase_active_region(); + eprintln!( + "TRAILMIX_SHRUNKEN_PZ peak_qubits={} peak_phase='{}' ops={}", + builder.peak_qubits, + builder.peak_phase, + builder.current_ops_len() + ); + if std::env::var("TRACE_PHASE_ACTIVE").is_ok() { + let top_n = std::env::var("TRACE_PHASE_ACTIVE_TOP") + .ok() + .and_then(|s| s.parse::().ok()); + let mut rows: Vec<_> = builder.phase_active_max.iter().collect(); + rows.sort_by(|a, b| b.1.cmp(a.1).then_with(|| a.0.cmp(b.0))); + for (idx, (phase, active)) in rows.into_iter().enumerate() { + if top_n.is_some_and(|limit| idx >= limit) { + break; + } + eprintln!("TRAILMIX_ACTIVE {:<48} {}", phase, active); + } + } + } + if inversion::paper2607_eea::enabled() { + let structural_t = builder.counted_kind_ops[OperationType::CCX as usize] + + builder.counted_kind_ops[OperationType::CCZ as usize]; + assert_eq!( + builder.peak_qubits, + 814 + u32::try_from(novelty_pad_qubits).expect("novelty padding must fit u32"), + "paper2607 peak-qubit drift" + ); + assert_eq!( + builder.current_ops_len(), + 1_202_156_283 + 3 * novelty_pad_qubits, + "paper2607 emitted-op drift" + ); + assert_eq!(structural_t, 1_081_852_127, "paper2607 Toffoli drift"); + } + builder.finish_stream_writer(); + builder +} diff --git a/src/point_add/trailmix_port/mod_arith.rs b/src/point_add/trailmix_port/mod_arith.rs new file mode 100644 index 00000000..0b1ed8cd --- /dev/null +++ b/src/point_add/trailmix_port/mod_arith.rs @@ -0,0 +1,469 @@ +//! Exact modular arithmetic for secp256k1. +//! +//! Replaces the approximate rfold-based `poc_arith::{mod_add`, `mod_sub`, +//! `mod_mul`} with primitives that correctly reduce all results into +//! [0, p). Uses `compare_geq_const` + `controlled_sub_const` with a +//! caller-managed flag ancilla for reversibility. +//! +//! ## Design +//! +//! Each forward primitive takes a `flag` qubit (|0> on entry) that +//! records "did the reduction fire?" The caller holds onto the flag +//! until the reverse pass, which consumes it via self-inverse +//! `compare_geq_const`. This gives exact bidirectional reduction with +//! zero selfwire. +//! +//! Registers are 257 bits wide (bit 256 = overflow slot). Values are +//! maintained in [0, p) with a[256] = 0 after every primitive. +//! +//! All code is physical-only: no selfwire, no rfold, no R-on-non-zero. + +use crate::point_add::trailmix_port::circuit::{Circuit, QReg}; + +/// secp256k1 prime p = 2^256 - 2^32 - 977, little-endian 32 bytes. +pub const SECP256K1_P_LE: [u8; 32] = [ + 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, +]; + +/// Controlled `mod_add`: if ctrl=1, a += b mod p; else no-op. +/// +/// Uses single-compare pattern: flag = (`a_post` >= p). When ctrl=0, +/// a is unchanged (still in [0, p)), so compare gives 0 → flag = 0, +/// and the sub is a no-op. When ctrl=1, a = `a_pre` + b ∈ [0, 2p), +/// compare gives (a >= p), flag records. +pub fn controlled_mod_add( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + b: &[QReg], + p_bytes: &[u8; 32], + flag: &QReg, +) { + crate::point_add::trailmix_port::arith::ripple_add::controlled_add(circ, ctrl, a, b); + crate::point_add::trailmix_port::arith::compare::compare_geq_const(circ, a, p_bytes, flag); + crate::point_add::trailmix_port::arith::const_add::controlled_sub_const(circ, flag, a, p_bytes); +} + +pub fn controlled_mod_add_reverse( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + b: &[QReg], + p_bytes: &[u8; 32], + flag: &QReg, +) { + // Undo sub p: restores a to (a_pre + b) (post-add, pre-reduction). + crate::point_add::trailmix_port::arith::const_add::controlled_add_const(circ, flag, a, p_bytes); + // Self-inverse compare on unchanged a → flag back to 0. + crate::point_add::trailmix_port::arith::compare::compare_geq_const(circ, a, p_bytes, flag); + // Undo controlled integer add. + crate::point_add::trailmix_port::arith::ripple_add::controlled_sub(circ, ctrl, a, b); +} + +/// Controlled `mod_sub`: if ctrl=1, a -= b mod p; else no-op. +pub fn controlled_mod_sub( + circ: &mut Circuit, + ctrl: &QReg, + a: &[QReg], + b: &[QReg], + p_bytes: &[u8; 32], + flag: &QReg, +) { + let n = a.len(); + crate::point_add::trailmix_port::arith::ripple_add::controlled_sub(circ, ctrl, a, b); + // flag = ctrl AND (borrow bit). + circ.ccx(ctrl, &a[n - 1], flag); + // Add p if flag. + crate::point_add::trailmix_port::arith::const_add::controlled_add_const(circ, flag, a, p_bytes); +} + +/// Modular halving: a := a/2 mod p. Uses `parity_flag` as the +/// "was odd" indicator (caller-managed). +/// +/// Pre: a in [0, p), a[256] = 0, `parity_flag` = |0>. +/// Post: a in [0, p), a[256] = 0, `parity_flag` = `a_pre`[0]. +pub fn mod_halve(circ: &mut Circuit, a: &[QReg], p_bytes: &[u8; 32], parity_flag: &QReg) { + // Record parity. + circ.cx(&a[0], parity_flag); + // If odd, add p (making a even). + crate::point_add::trailmix_port::arith::const_add::controlled_add_const(circ, parity_flag, a, p_bytes); + // Right shift. a is now (a + p*parity) / 2. + crate::point_add::trailmix_port::arith::shift::right_shift(circ, a); + // Post: a[256] = 0 (right_shift fills the top with 0). +} + +/// Modular doubling: a := 2a mod p. Reuses `mod_add` with a itself. +/// Uses one flag ancilla. +pub fn mod_double(circ: &mut Circuit, a: &[QReg], p_bytes: &[u8; 32], flag: &QReg) { + let p_val_pre = crate::point_add::trailmix_port::num_bigint::BigUint::from_bytes_le(p_bytes); + { + let a_for_capture: Vec<&QReg> = a.iter().collect(); + let p_val = p_val_pre.clone(); + circ.contract_capture( + "mod_arith.mod_double", + move |view, shot| -> Result { + let mut v = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in a_for_capture.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + v |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + if v >= p_val { + return Err(format!("a_pre = {v:#x} >= p")); + } + Ok(v) + }, + ); + } + // left_shift is exact doubling (bit 256 = old bit 255). + // This could overshoot [0, p); reduce. + crate::point_add::trailmix_port::arith::shift::left_shift(circ, a); + // Now a holds 2*a_pre as a 257-bit value. a[256] = old bit 255. + // Reduce: if a >= p, sub p. + crate::point_add::trailmix_port::arith::compare::compare_geq_const(circ, a, p_bytes, flag); + crate::point_add::trailmix_port::arith::const_add::controlled_sub_const(circ, flag, a, p_bytes); + { + let a_for_check: Vec<&QReg> = a.iter().collect(); + let p_val = p_val_pre; + circ.contract_pop_and_check::( + "mod_arith.mod_double", + move |a_pre, view, shot| -> Result<(), String> { + let mut a_post = crate::point_add::trailmix_port::num_bigint::BigUint::from(0u32); + for (i, q) in a_for_check.iter().enumerate() { + if view.contract_read_bit_shot(q, shot) { + a_post |= crate::point_add::trailmix_port::num_bigint::BigUint::from(1u32) << i; + } + } + let expected = (a_pre * crate::point_add::trailmix_port::num_bigint::BigUint::from(2u32)) % &p_val; + if a_post != expected { + return Err(format!( + "shot {shot}: a_post = {a_post:#x}, expected 2*a_pre mod p = {expected:#x}" + )); + } + Ok(()) + }, + ); + } +} + +pub fn mod_double_reverse(circ: &mut Circuit, a: &[QReg], p_bytes: &[u8; 32], flag: &QReg) { + crate::point_add::trailmix_port::arith::const_add::controlled_add_const(circ, flag, a, p_bytes); + crate::point_add::trailmix_port::arith::compare::compare_geq_const(circ, a, p_bytes, flag); + crate::point_add::trailmix_port::arith::shift::right_shift(circ, a); +} + +// ===================================================================== +// secp256k1-hardcoded mod_arith: exploits p = 2^256 - R structure. +// +// Key optimizations: +// - compare uses inline constant (7 zero bits in p → cheap carry chain) +// - controlled_sub_p = controlled_add(neg_p) where neg_p has 8 set bits +// - controlled_add_p = CX(ctrl, a[256]) + controlled_sub_R(ctrl, a[0..255]) +// where R has 7 set bits +// ===================================================================== + +// ===================================================================== +// MBU mod_arith: no persistent flags, no reversal needed. +// Uses Lemma 4.1 from Luongo et al. (arXiv:2407.20167): +// The reduction flag 1[x+a >= p] equals 1[(x+a mod p) < a]. +// The phase correction computes the EQUIVALENT comparison on +// the POST-reduction data, so no reversal is needed. +// ===================================================================== + +/// a += b mod p. MBU: flag is HMR'd immediately with phase +/// correction via `compare_less(a_reduced`, b). No persistent flag. +pub fn mod_add_mbu(circ: &mut Circuit, a: &[QReg], b: &[QReg], _p_bytes: &[u8; 32]) { + // Step 1: integer add + crate::point_add::trailmix_port::arith::ripple_add::add(circ, a, b); + // Step 2: compare a >= p, store in flag + let flag = circ.alloc_qreg("flag"); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1(circ, a, &flag); + // Step 3: controlled sub p (flag as separate qubit, never modified) + controlled_add_neg_p_secp256k1(circ, &flag, a); + // a is now (a_old + b) mod p. flag = 1[a_old+b >= p] = 1[result < b] + // (Lemma 4.1). MBU-verified compare_lt does HMR(flag) + declare, + // and consumes/frees `flag` internally. + crate::point_add::trailmix_port::arith::compare::compare_lt_phase_correction_mbu(circ, a, b, &flag); +} + +/// a -= b mod p. MBU: flag HMR'd with phase correction. +/// Identity: 1[`a_old` < b] = 1[(a-b mod p) + b >= p]. +/// Phase correction: temporarily add b to result, compare >= p. +pub fn mod_sub_mbu(circ: &mut Circuit, a: &[QReg], b: &[QReg], _p_bytes: &[u8; 32]) { + let n = a.len(); + // Step 1: integer sub + crate::point_add::trailmix_port::arith::ripple_add::sub(circ, a, b); + // Step 2: flag = borrow = a[n-1] + let flag = circ.alloc_qreg("flag"); + circ.cx(&a[n - 1], &flag); + // Step 3: add p if borrow (correction) + circ.cx(&flag, &a[n - 1]); + let r = secp256k1_r_le(); + crate::point_add::trailmix_port::arith::const_add::controlled_sub_const(circ, &flag, &a[..n - 1], &r); + // a = (a_old - b) mod p now. flag = 1[a_old < b] = 1[result + b >= p]. + // Temporarily add b, MBU compare >= p, undo. compare_geq_mbu handles + // HMR(flag) + declare_identity internally. + crate::point_add::trailmix_port::arith::ripple_add::add(circ, a, b); // a = result + b + // compare_geq_p_secp256k1_phase_correction_mbu consumes and frees flag + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1_phase_correction_mbu(circ, a, flag); + crate::point_add::trailmix_port::arith::ripple_add::sub(circ, a, b); // restore: a = result +} + +#[must_use] +pub fn secp256k1_r_le() -> [u8; 32] { + let mut r = [0u8; 32]; + r[0] = 0xD1; + r[1] = 0x03; + r[4] = 0x01; + r +} + +fn controlled_add_neg_p_secp256k1(circ: &mut Circuit, ctrl: &QReg, a: &[QReg]) { + assert_eq!(a.len(), 257); + // -p = R - 2^256. Add sparse R into the full 257-bit register so the + // carry lands in a[256], then toggle the 2^256 term. + let r = secp256k1_r_le(); + crate::point_add::trailmix_port::arith::const_add::controlled_add_const(circ, ctrl, a, &r); + circ.cx(ctrl, &a[256]); +} + +fn controlled_add_p_secp256k1(circ: &mut Circuit, ctrl: &QReg, a: &[QReg]) { + assert_eq!(a.len(), 257); + // p = 2^256 - R. The full-width subtraction is important: when the + // low word is below R, its borrow cancels the injected top bit. + circ.cx(ctrl, &a[256]); + let r = secp256k1_r_le(); + crate::point_add::trailmix_port::arith::const_add::controlled_sub_const(circ, ctrl, a, &r); +} + +// ===================================================================== +// Exact canonical MBU arithmetic. +// +// These primitives differ from the rfold route in `rfold_mbu.rs`: every +// output is reduced to [0, p), and every reduction flag is erased before +// returning. In particular, callers never have to retain a branch bit for +// a later Bennett pass. +// ===================================================================== + +/// If `ctrl=1`, set `acc := acc + addend (mod p)`; otherwise leave `acc` +/// unchanged. The reduction flag is erased immediately by MBU from data +/// that survives the operation. +/// +/// The post-output predicate is exact: +/// +/// ```text +/// reduced = ctrl AND (acc_post < addend). +/// ``` +/// +/// For `ctrl=1`, the reduction branch has +/// `acc_pre + addend = p + acc_post`, hence `acc_post < addend` because +/// `acc_pre < p`. In the no-reduction branch, `acc_post >= addend`. For +/// `ctrl=0`, `reduced=0` independently of the comparison. +/// +/// # Preconditions +/// +/// - all registers have 257 qubits; +/// - `acc[256] = addend[256] = |0>`; +/// - the low 256-bit values of `acc` and `addend` are in `[0, p)`; +/// - `ctrl` does not alias `acc` (it may alias `addend`, as in squaring). +/// +/// # Postconditions +/// +/// - `acc` is the canonical residue in `[0, p)`; +/// - `acc[256] = |0>`; +/// - `ctrl` and `addend` are unchanged; +/// - the reduction flag and all phase-correction work qubits are clean. +pub fn controlled_mod_add_canonical_mbu( + circ: &mut Circuit, + ctrl: &QReg, + acc: &[QReg], + addend: &[QReg], +) { + assert_eq!(acc.len(), 257); + assert_eq!(addend.len(), 257); + let prev = circ.push_section("cma_canonical"); + + // The 257th lane retains the integer carry, so the sum is represented + // exactly over [0, 2p) rather than wrapping at 2^256. + crate::point_add::trailmix_port::arith::ripple_add::controlled_add( + circ, ctrl, acc, addend, + ); + + let reduced = circ.alloc_qreg("cma_canonical.reduced"); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1( + circ, acc, &reduced, + ); + controlled_add_neg_p_secp256k1(circ, &reduced, acc); + + // HMR(reduced) is phase-corrected by the equivalent predicate on the + // canonical output. The full comparator is intentional: this route is + // exact, unlike the top-k rfold phase approximation. + crate::point_add::trailmix_port::arith::compare::controlled_compare_lt_phase_correction_mbu( + circ, + ctrl, + &acc[..256], + &addend[..256], + &reduced, + ); + circ.zero_and_free(reduced); + circ.pop_section(&prev); +} + +/// If `ctrl=1`, set `acc := acc - addend (mod p)`; otherwise leave `acc` +/// unchanged. The borrow flag is erased immediately from canonical output +/// data, without retaining a subtraction transcript. +/// +/// Let `post` be the canonical result. Temporarily forming +/// `post + ctrl*addend` in the full 257-bit register gives the exact identity +/// +/// ```text +/// borrowed = ctrl AND 1[post + addend >= p] +/// = 1[post + ctrl*addend >= p]. +/// ``` +/// +/// For a taken subtraction that borrowed, `post + addend = p + acc_pre`; +/// without a borrow it is `acc_pre < p`. With `ctrl=0`, the temporary value +/// is just the canonical `post`, so the predicate is also false. +/// +/// # Preconditions +/// +/// - all registers have 257 qubits; +/// - `acc[256] = addend[256] = |0>`; +/// - the low 256-bit values of `acc` and `addend` are in `[0, p)`; +/// - `ctrl` does not alias `acc` (it may alias `addend`). +/// +/// # Postconditions +/// +/// - `acc` is the canonical residue in `[0, p)`; +/// - `acc[256] = |0>`; +/// - `ctrl` and `addend` are unchanged; +/// - the borrow flag and all phase-correction work qubits are clean. +pub fn controlled_mod_sub_canonical_mbu( + circ: &mut Circuit, + ctrl: &QReg, + acc: &[QReg], + addend: &[QReg], +) { + assert_eq!(acc.len(), 257); + assert_eq!(addend.len(), 257); + let prev = circ.push_section("cms_canonical"); + + // A negative 257-bit two's-complement result has acc[256]=1. Canonical + // inputs and a clean top lane make this exactly ctrl AND (acc_pre=p predicate. + crate::point_add::trailmix_port::arith::ripple_add::controlled_add( + circ, ctrl, acc, addend, + ); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1_phase_correction_mbu( + circ, acc, borrowed, + ); + crate::point_add::trailmix_port::arith::ripple_add::controlled_sub( + circ, ctrl, acc, addend, + ); + + circ.pop_section(&prev); +} + +/// Set `acc := 2*acc (mod p)` with a canonical output and no retained flag. +/// +/// Since `p` is odd, the exact reduction flag is the parity of the canonical +/// output: `2*acc_pre` is even, while subtracting `p` flips parity. Thus +/// +/// ```text +/// reduced = acc_post[0]. +/// ``` +/// +/// This output-only identity permits an immediate HMR plus one +/// classically-conditioned Z correction. +/// +/// # Preconditions +/// +/// - `acc.len() == 257`; +/// - `acc[256] = |0>` and the low value is in `[0, p)`. +/// +/// # Postconditions +/// +/// - `acc` is the canonical residue `2*acc_pre mod p`; +/// - `acc[256] = |0>`; +/// - the reduction flag is clean and no phase remains. +pub fn mod_double_canonical_mbu(circ: &mut Circuit, acc: &[QReg]) { + assert_eq!(acc.len(), 257); + let prev = circ.push_section("double_canonical"); + + // The clean top lane makes this an exact 257-bit doubling. + crate::point_add::trailmix_port::arith::shift::left_shift(circ, acc); + + let reduced = circ.alloc_qreg("double_canonical.reduced"); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1( + circ, acc, &reduced, + ); + controlled_add_neg_p_secp256k1(circ, &reduced, acc); + + circ.declare_identity(&reduced, &acc[0]); + let measured = circ.alloc_bit(); + circ.hmr(&reduced, measured); + circ.z_if_bit(&acc[0], measured); + circ.free_bit(measured); + circ.zero_and_free(reduced); + + circ.pop_section(&prev); +} + +/// Set `acc := acc/2 (mod p)` for any canonical input, with no retained flag. +/// This is the exact inverse permutation of [`mod_double_canonical_mbu`]. +/// +/// If the input is odd, adding odd `p` makes it even before the right shift. +/// The taken branch is reconstructed from the canonical output alone: +/// +/// ```text +/// input_was_odd = 1[acc_post >= (p + 1)/2]. +/// ``` +/// +/// Indeed, an even input maps below `(p+1)/2`, while an odd input maps to +/// `(input+p)/2`, which is at least `(p+1)/2`. +/// +/// # Preconditions +/// +/// - `acc.len() == 257`; +/// - `acc[256] = |0>` and the low value is in `[0, p)`. +/// +/// # Postconditions +/// +/// - `acc` is the canonical residue `acc_pre/2 mod p`; +/// - `acc[256] = |0>`; +/// - the parity flag and all phase-correction work qubits are clean. +pub fn mod_halve_canonical_mbu(circ: &mut Circuit, acc: &[QReg]) { + assert_eq!(acc.len(), 257); + let prev = circ.push_section("halve_canonical"); + + let input_was_odd = circ.alloc_qreg("halve_canonical.input_was_odd"); + circ.cx(&acc[0], &input_was_odd); + controlled_add_p_secp256k1(circ, &input_was_odd, acc); + + // acc + input_was_odd*p is even and below 2p < 2^257, so this rotation + // is an exact logical right shift and leaves the top lane clean. + crate::point_add::trailmix_port::arith::shift::right_shift(circ, acc); + + crate::point_add::trailmix_port::arith::compare::compare_geq_half_p_secp256k1_phase_correction_mbu( + circ, + &acc[..256], + input_was_odd, + ); + + circ.pop_section(&prev); +} + +// ============================================================ +// Polylog-ancilla classical-constant mod-p add/sub. +// diff --git a/src/point_add/trailmix_port/q949_source_manifest.rs b/src/point_add/trailmix_port/q949_source_manifest.rs new file mode 100644 index 00000000..8998a2cf --- /dev/null +++ b/src/point_add/trailmix_port/q949_source_manifest.rs @@ -0,0 +1,390 @@ +// Every source that can change Q949 allocation, operation serialization, +// Fiat-Shamir sampling, support replay, or evidence acceptance belongs here. +pub(super) const SOURCES: &[(&str, &[u8])] = &[ + ("Cargo.toml", include_bytes!("../../../Cargo.toml")), + ("Cargo.lock", include_bytes!("../../../Cargo.lock")), + ("rust-toolchain", include_bytes!("../../../rust-toolchain")), + ("src/lib.rs", include_bytes!("../../lib.rs")), + ("src/circuit.rs", include_bytes!("../../circuit.rs")), + ("src/sim.rs", include_bytes!("../../sim.rs")), + ( + "src/weierstrass_elliptic_curve.rs", + include_bytes!("../../weierstrass_elliptic_curve.rs"), + ), + ("src/point_add/mod.rs", include_bytes!("../mod.rs")), + ("src/point_add/emit.rs", include_bytes!("../emit.rs")), + ("src/point_add/venting.rs", include_bytes!("../venting.rs")), + ("src/point_add/trailmix_port/mod.rs", include_bytes!("mod.rs")), + ( + "src/point_add/trailmix_port/q949_source_manifest.rs", + include_bytes!("q949_source_manifest.rs"), + ), + ( + "src/point_add/trailmix_port/circuit.rs", + include_bytes!("circuit.rs"), + ), + ( + "src/point_add/trailmix_port/mod_arith.rs", + include_bytes!("mod_arith.rs"), + ), + ( + "src/point_add/trailmix_port/rfold_mbu.rs", + include_bytes!("rfold_mbu.rs"), + ), + ( + "src/point_add/trailmix_port/arith/compare.rs", + include_bytes!("arith/compare.rs"), + ), + ( + "src/point_add/trailmix_port/arith/const_add.rs", + include_bytes!("arith/const_add.rs"), + ), + ( + "src/point_add/trailmix_port/arith/cuccaro.rs", + include_bytes!("arith/cuccaro.rs"), + ), + ( + "src/point_add/trailmix_port/arith/gidney_const_adder.rs", + include_bytes!("arith/gidney_const_adder.rs"), + ), + ( + "src/point_add/trailmix_port/arith/khattar_gidney.rs", + include_bytes!("arith/khattar_gidney.rs"), + ), + ( + "src/point_add/trailmix_port/arith/mcx.rs", + include_bytes!("arith/mcx.rs"), + ), + ( + "src/point_add/trailmix_port/arith/qshift_sub.rs", + include_bytes!("arith/qshift_sub.rs"), + ), + ( + "src/point_add/trailmix_port/arith/ripple_add.rs", + include_bytes!("arith/ripple_add.rs"), + ), + ( + "src/point_add/trailmix_port/arith/shift.rs", + include_bytes!("arith/shift.rs"), + ), + ( + "src/point_add/trailmix_port/ec/point_add.rs", + include_bytes!("ec/point_add.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/shrunken_pz_primitives.rs", + include_bytes!("inversion/shrunken_pz_primitives.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/shrunken_pz_schedule.rs", + include_bytes!("inversion/shrunken_pz_schedule.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/shrunken_pz_state_machine.rs", + include_bytes!("inversion/shrunken_pz_state_machine.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/q944_dirty_parity_microkernels.rs", + include_bytes!("inversion/q944_dirty_parity_microkernels.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/q945_local_hosts.rs", + include_bytes!("inversion/q945_local_hosts.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/q949_robust_envelope.rs", + include_bytes!("inversion/q949_robust_envelope.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/q949_robust_envelope_data.rs", + include_bytes!("inversion/q949_robust_envelope_data.rs"), + ), + ( + "src/point_add/trailmix_port/inversion/q949_robust_projection_metadata.json", + include_bytes!("inversion/q949_robust_projection_metadata.json"), + ), + ( + "src/bin/q949_affine_counter_proof.rs", + include_bytes!("../../bin/q949_affine_counter_proof.rs"), + ), + ( + "src/bin/q949_affine_counter_profile.rs", + include_bytes!("../../bin/q949_affine_counter_profile.rs"), + ), + ( + "src/bin/q949_robust_common/mod.rs", + include_bytes!("../../bin/q949_robust_common/mod.rs"), + ), + ( + "src/bin/q949_robust_common/diagnostics.rs", + include_bytes!("../../bin/q949_robust_common/diagnostics.rs"), + ), + ( + "src/bin/q949_robust_symmetric_schedule_proof.rs", + include_bytes!("../../bin/q949_robust_symmetric_schedule_proof.rs"), + ), + ( + "src/bin/q949_robust_symmetric_schedule_count.rs", + include_bytes!("../../bin/q949_robust_symmetric_schedule_count.rs"), + ), + ( + "src/bin/q949_robust_symmetric_schedule_census.rs", + include_bytes!("../../bin/q949_robust_symmetric_schedule_census.rs"), + ), + ( + "src/bin/q949_robust_symmetric_schedule_profile.rs", + include_bytes!("../../bin/q949_robust_symmetric_schedule_profile.rs"), + ), + ( + "src/bin/q949_robust_evidence_selftest.rs", + include_bytes!("../../bin/q949_robust_evidence_selftest.rs"), + ), + ( + "src/bin/hardened_lifetime_helper_proof.rs", + include_bytes!("../../bin/hardened_lifetime_helper_proof.rs"), + ), + ( + "src/bin/hardened_peak_quadrants_count.rs", + include_bytes!("../../bin/hardened_peak_quadrants_count.rs"), + ), + ( + "src/bin/q948_borrowed_transcript_proof.rs", + include_bytes!("../../bin/q948_borrowed_transcript_proof.rs"), + ), + ( + "src/bin/q948_borrowed_transcript_count.rs", + include_bytes!("../../bin/q948_borrowed_transcript_count.rs"), + ), + ( + "src/bin/q948_borrowed_transcript_census.rs", + include_bytes!("../../bin/q948_borrowed_transcript_census.rs"), + ), + ( + "src/bin/q948_borrowed_transcript_profile.rs", + include_bytes!("../../bin/q948_borrowed_transcript_profile.rs"), + ), + ( + "src/bin/six_stream_borrowed_relational_proof.rs", + include_bytes!("../../bin/six_stream_borrowed_relational_proof.rs"), + ), + ( + "src/bin/six_stream_relational_peak_quadrants.rs", + include_bytes!("../../bin/six_stream_relational_peak_quadrants.rs"), + ), + ( + "src/bin/six_stream_borrowed_relational_census.rs", + include_bytes!("../../bin/six_stream_borrowed_relational_census.rs"), + ), + ( + "src/bin/six_stream_borrow_only_count.rs", + include_bytes!("../../bin/six_stream_borrow_only_count.rs"), + ), + ( + "src/bin/six_stream_borrow_only_census.rs", + include_bytes!("../../bin/six_stream_borrow_only_census.rs"), + ), + ( + "src/bin/six_stream_borrow_only_deficit_histogram.rs", + include_bytes!("../../bin/six_stream_borrow_only_deficit_histogram.rs"), + ), + ( + "src/bin/q948_exact_capacity_proof.rs", + include_bytes!("../../bin/q948_exact_capacity_proof.rs"), + ), + ( + "src/bin/q948_exact_capacity_count.rs", + include_bytes!("../../bin/q948_exact_capacity_count.rs"), + ), + ( + "src/bin/q948_exact_capacity_census.rs", + include_bytes!("../../bin/q948_exact_capacity_census.rs"), + ), + ( + "src/bin/q948_exact_capacity_profile.rs", + include_bytes!("../../bin/q948_exact_capacity_profile.rs"), + ), + ( + "src/bin/q948_exact_capacity_peak_diagnostic.rs", + include_bytes!("../../bin/q948_exact_capacity_peak_diagnostic.rs"), + ), + ( + "src/bin/q949_peak_safe_checkpoint.rs", + include_bytes!("../../bin/q949_peak_safe_checkpoint.rs"), + ), + ( + "tools/q949_solve_adaptive_envelope.py", + include_bytes!("../../../tools/q949_solve_adaptive_envelope.py"), + ), + ( + "tools/q949_generate_envelope.py", + include_bytes!("../../../tools/q949_generate_envelope.py"), + ), + ( + "wmi/q949-six-stream-solve-generate.sbatch", + include_bytes!("../../../wmi/q949-six-stream-solve-generate.sbatch"), + ), + ( + "wmi/q949-six-stream-validate-nonce5.sbatch", + include_bytes!("../../../wmi/q949-six-stream-validate-nonce5.sbatch"), + ), + ( + "wmi/six-stream-borrowed-relational-gptcodex.sbatch", + include_bytes!("../../../wmi/six-stream-borrowed-relational-gptcodex.sbatch"), + ), + ( + "wmi/six-stream-borrowed-relational-fresh-gptcodex.sbatch", + include_bytes!("../../../wmi/six-stream-borrowed-relational-fresh-gptcodex.sbatch"), + ), + ( + "wmi/six-stream-borrow-only-fresh-gptcodex.sbatch", + include_bytes!("../../../wmi/six-stream-borrow-only-fresh-gptcodex.sbatch"), + ), + ( + "wmi/six-stream-borrow-only-deficit-histogram.sbatch", + include_bytes!("../../../wmi/six-stream-borrow-only-deficit-histogram.sbatch"), + ), + ( + "wmi/q948-exact-capacity-max-subset.sbatch", + include_bytes!("../../../wmi/q948-exact-capacity-max-subset.sbatch"), + ), + ( + "wmi/q948-exact-capacity-solve-generate.sbatch", + include_bytes!("../../../wmi/q948-exact-capacity-solve-generate.sbatch"), + ), + ( + "wmi/q948-exact-capacity-checkpoint.sbatch", + include_bytes!("../../../wmi/q948-exact-capacity-checkpoint.sbatch"), + ), + ( + "wmi/q948-exact-capacity-peak-diagnostic.sbatch", + include_bytes!("../../../wmi/q948-exact-capacity-peak-diagnostic.sbatch"), + ), + ( + "wmi/q949-peak-safe-checkpoint.sbatch", + include_bytes!("../../../wmi/q949-peak-safe-checkpoint.sbatch"), + ), + ( + "wmi/q948-peak-safe-passenger-quadrants.sbatch", + include_bytes!("../../../wmi/q948-peak-safe-passenger-quadrants.sbatch"), + ), + ( + "src/bin/q948_direct_hclz_peak_guard_proof.rs", + include_bytes!("../../bin/q948_direct_hclz_peak_guard_proof.rs"), + ), + ( + "src/bin/q948_direct_hclz_peak_quadrants.rs", + include_bytes!("../../bin/q948_direct_hclz_peak_quadrants.rs"), + ), + ( + "wmi/q948-direct-hclz-peak-guard.sbatch", + include_bytes!("../../../wmi/q948-direct-hclz-peak-guard.sbatch"), + ), + ( + "wmi/q949-target681-force-71530-selector.sbatch", + include_bytes!("../../../wmi/q949-target681-force-71530-selector.sbatch"), + ), + ( + "src/bin/q948_direct_hclz_count.rs", + include_bytes!("../../bin/q948_direct_hclz_count.rs"), + ), + ( + "src/bin/q948_direct_hclz_fresh_census.rs", + include_bytes!("../../bin/q948_direct_hclz_fresh_census.rs"), + ), + ( + "wmi/q948-direct-hclz-fresh-nonce24.sbatch", + include_bytes!("../../../wmi/q948-direct-hclz-fresh-nonce24.sbatch"), + ), + ( + "wmi/q948-peak-neutral-repair-nonce24.sbatch", + include_bytes!("../../../wmi/q948-peak-neutral-repair-nonce24.sbatch"), + ), + ( + "src/bin/q947_passenger_direct_hclz_common/mod.rs", + include_bytes!("../../bin/q947_passenger_direct_hclz_common/mod.rs"), + ), + ( + "src/bin/q947_passenger_direct_hclz_proof.rs", + include_bytes!("../../bin/q947_passenger_direct_hclz_proof.rs"), + ), + ( + "src/bin/q947_passenger_direct_hclz_count.rs", + include_bytes!("../../bin/q947_passenger_direct_hclz_count.rs"), + ), + ( + "src/bin/q947_passenger_direct_hclz_profile.rs", + include_bytes!("../../bin/q947_passenger_direct_hclz_profile.rs"), + ), + ( + "src/bin/q946_second_release_common/mod.rs", + include_bytes!("../../bin/q946_second_release_common/mod.rs"), + ), + ( + "src/bin/q946_second_release_proof.rs", + include_bytes!("../../bin/q946_second_release_proof.rs"), + ), + ( + "src/bin/q946_second_release_count.rs", + include_bytes!("../../bin/q946_second_release_count.rs"), + ), + ( + "src/bin/q946_second_release_census.rs", + include_bytes!("../../bin/q946_second_release_census.rs"), + ), + ( + "src/bin/q945_local_hosts_common/mod.rs", + include_bytes!("../../bin/q945_local_hosts_common/mod.rs"), + ), + ( + "src/bin/q945_local_hosts_proof.rs", + include_bytes!("../../bin/q945_local_hosts_proof.rs"), + ), + ( + "src/bin/q945_local_hosts_count.rs", + include_bytes!("../../bin/q945_local_hosts_count.rs"), + ), + ( + "src/bin/q945_host_support_census.rs", + include_bytes!("../../bin/q945_host_support_census.rs"), + ), + ( + "wmi/q947-passenger-direct-hclz-proof-count.sbatch", + include_bytes!("../../../wmi/q947-passenger-direct-hclz-proof-count.sbatch"), + ), + ( + "wmi/q947-passenger-direct-hclz-profile.sbatch", + include_bytes!("../../../wmi/q947-passenger-direct-hclz-profile.sbatch"), + ), + ( + "wmi/q947-gpu-emitted-parity.sbatch", + include_bytes!("../../../wmi/q947-gpu-emitted-parity.sbatch"), + ), + ( + "wmi/q947-gpu-parity.sbatch", + include_bytes!("../../../wmi/q947-gpu-parity.sbatch"), + ), + ( + "wmi/q947-gpu-search-array.sbatch", + include_bytes!("../../../wmi/q947-gpu-search-array.sbatch"), + ), + ( + "wmi/q946-second-release-proof-count.sbatch", + include_bytes!("../../../wmi/q946-second-release-proof-count.sbatch"), + ), + ( + "wmi/q946-second-release-deficit-census.sbatch", + include_bytes!("../../../wmi/q946-second-release-deficit-census.sbatch"), + ), + ( + "wmi/q945-local-hosts-structural-proof-count.sbatch", + include_bytes!("../../../wmi/q945-local-hosts-structural-proof-count.sbatch"), + ), + ( + "wmi/q945-host-support-census.sbatch", + include_bytes!("../../../wmi/q945-host-support-census.sbatch"), + ), + ( + "wmi/q948_exact_capacity_selected_training.json", + include_bytes!("../../../wmi/q948_exact_capacity_selected_training.json"), + ), +]; diff --git a/src/point_add/trailmix_port/rfold_mbu.rs b/src/point_add/trailmix_port/rfold_mbu.rs new file mode 100644 index 00000000..6b802a92 --- /dev/null +++ b/src/point_add/trailmix_port/rfold_mbu.rs @@ -0,0 +1,787 @@ +//! Rfold-MBU mod arithmetic for secp256k1. +//! +//! Cheaper than `mod_arith.rs`'s exact-reduction MBU primitives: +//! skips the `compare_geq_p` + `controlled_add_neg_p` (~4n CCX) and +//! replaces it with a controlled add of R = 2^32+977 to the low +//! 256 bits (~16 CCX since R has 8 set bits). Phase correction +//! uses the same Lemma 4.1 identity: `1[r < b] = X` where +//! X = "did the integer add overflow into bit 256". +//! +//! Output range: rfold is APPROXIMATE — output is in [0, 2^256), +//! not [0, p). Probability of "underreduced" output (in [p, 2^256)) +//! per add is R / 2^256 ≈ 2^-224 for random inputs. Composes +//! safely as long as a final exact reduction is applied at the +//! end of the pipeline, OR all downstream operations tolerate +//! [0, 2^256) inputs (which the rfold primitives themselves do). +//! +//! Identity verification: +//! For a, b in [0, p): A = a+b, X = (A >= 2^256), r = A - X*p. +//! - X=0: r = A. r false. X=0 ✓ +//! - X=1: r = A-p. r true. X=1 ✓ +//! - X=0, A in [p, 2^256) (under-reduced): r=A. r false. X=0 ✓ + +use crate::point_add::trailmix_port::circuit::{Circuit, ContractReadable, QReg}; + +/// secp256k1 R = 2^32 + 977 = 0x100000003D1, little-endian 32 bytes. +fn r_bytes() -> [u8; 32] { + let mut r = [0u8; 32]; + r[0] = 0xD1; + r[1] = 0x03; + r[4] = 0x01; + r +} + +/// Width of the fixed window the rfold `+R` is confined to. R spans bits +/// [0,32]; we work modulo `2^RFOLD_WINDOW` so the carry out of bit 32 ripples +/// at most RFOLD_WINDOW-33 = 40 bits (the rest is dropped — matters only for +/// ~40 consecutive 1s at the injection point, ≤ 2^-40 per call, within +/// Shor's budget). The add over a[..`RFOLD_WINDOW`] is EXACT mod `2^RFOLD_WINDOW` +/// (a clean modular window, NOT a value-dependent carry drop), so the reverse +/// (X-sandwich of the SAME add = subtract mod `2^RFOLD_WINDOW`) is its exact +/// inverse for every input — Bennett round-trips stay exactly clean. +const RFOLD_WINDOW: usize = 73; + +/// Top-K width for the cma:phase comparator (the MBU phase correction's +/// `1[a, b[256] == |0> (if 257-bit) +// a_val < p, b_val < p (STRICT — not just +// < 2^256; the phase-correction identity Lemma 4.1 is proved only +// for a, b in [0, p). Callers chaining rfold outputs must ensure +// the output of the previous call is still < p.) +// ensures: +// a_new ≡ a_pre + b (mod p) +// a_new < 2^256 (range check — may be ≥ p, see module docs) +// a[256] = |0> +pub fn mod_add_rfold_mbu(circ: &mut Circuit, a: &[QReg], b: &[QReg]) { + let n = a.len(); + let nb = b.len(); + assert_eq!(n, 257, "mod_add_rfold_mbu requires 257-bit a"); + assert!(nb == 256 || nb == 257); + let prev = circ.push_section("madd"); + + // ── Pre-condition contract (sim-verified when CONTRACTS=1) ──── + // + // Migration note: the previous deferred post-condition contract + // captured `a.to_vec()` clones for the post closure; QReg is no + // longer Clone, and `contract_capture` requires `'static` closures + // so a borrow of `a` cannot be threaded through. The pre-condition + // (Lemma 4.1 ranges, a[256]/b[256] = |0>) is the load-bearing + // contract; the post-condition `a_new ≡ a_pre + b mod p` is + // covered by other end-to-end tests. + let p = crate::point_add::trailmix_port::num_bigint::BigUint::from_bytes_le(&crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE); + let p_for_pre = p.clone(); + circ.contract_check("mod_add_rfold_mbu pre", move |c, shot| { + if circ_a_bit(&c, a, 256, shot) { + return Err("a[256] must be |0>, got 1".to_string()); + } + if nb == 257 && circ_a_bit(&c, b, 256, shot) { + return Err("b[256] must be |0>, got 1".to_string()); + } + let av = c.contract_read_u256_shot(a, shot); + let bv = c.contract_read_u256_shot(&b[..b.len().min(256)], shot); + if av >= p_for_pre { + return Err(format!( + "a_val ({av}) >= p (Lemma 4.1 \ + requires a < p)" + )); + } + if bv >= p_for_pre { + return Err(format!("b_val ({bv}) >= p")); + } + Ok(()) + }); + + // Step 1: integer add. Cuccaro (1 ancilla) via crate::point_add::trailmix_port::arith::ripple_add::add + // for the 257-bit path. The 256-bit-b path uses + // add_with_carry_to_high which is an n-1-ancilla variant still. + if nb == 257 { + crate::point_add::trailmix_port::arith::ripple_add::add(circ, a, b); + } else { + let b_low = &b[..256]; + add_with_carry_to_high(circ, a, b_low); + } + + // Step 2: rfold — add R to a[..256] if bit 256 set. + let r = r_bytes(); + crate::point_add::trailmix_port::arith::const_add::controlled_add_const(circ, &a[256], &a[..256], &r); + + // Step 3+4: MBU compare-lt phase correction. + crate::point_add::trailmix_port::arith::compare::compare_lt_phase_correction_mbu(circ, &a[..256], &b[..256], &a[256]); + circ.pop_section(&prev); +} + +fn circ_a_bit(c: &impl ContractReadable, reg: &[QReg], i: usize, shot: usize) -> bool { + if i < reg.len() { + c.contract_read_bit_shot(®[i], shot) + } else { + false + } +} + +/// 257-bit add of (a, `b_256+0`) where the sum's high bit lands in +/// a[256]. Delegates to canonical Cuccaro with explicit overflow. +/// Peak: 1 ancilla (carry-in). Was: n+1 ancillae. +fn add_with_carry_to_high(circ: &mut Circuit, a: &[QReg], b: &[QReg]) { + let n = b.len(); + assert!(a.len() > n); + crate::point_add::trailmix_port::arith::cuccaro::add_cuccaro_with_overflow(circ, &a[..=n], b); +} + +/// Controlled a += b mod p (rfold approximate). MBU. +/// If ctrl=0: no-op (HMR'd flag is also 0 -> phase contribution 0). +/// If ctrl=1: same as `mod_add_rfold_mbu`. +// +// requires: +// a.len() == 257, b.len() in {256, 257} +// a[256] == |0>, b[256] == |0> (if 257-bit) +// a_val < p, b_val < p (STRICT — same +// Lemma 4.1 precondition as mod_add_rfold_mbu) +// ctrl is a single qubit (may alias b[i] for some i — OK) +// ensures: +// ctrl=1: a_new ≡ a_pre + b (mod p), a_new < 2^256 +// ctrl=0: a_new == a_pre +// a[256] = |0> +pub fn controlled_mod_add_rfold_mbu(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let n = a.len(); + let nb = b.len(); + assert_eq!(n, 257); + assert!(nb == 256 || nb == 257); + let prev = circ.current_section.clone(); + + circ.set_section(&format!("{prev}/cma:int")); + if nb == 257 { + crate::point_add::trailmix_port::arith::ripple_add::controlled_add(circ, ctrl, a, b); + } else { + controlled_add_with_carry_to_high(circ, ctrl, a, &b[..256]); + } + circ.set_section(&format!("{prev}/cma:rfold")); + let r = r_bytes(); + // rfold confined to a[..RFOLD_WINDOW]: exact (a+R) mod 2^RFOLD_WINDOW. The + // X-sandwich in controlled_mod_sub_rfold_mbu inverts this exactly because + // the window add is a clean modular op (no value-dependent carry drop). + crate::point_add::trailmix_port::arith::const_add::controlled_add_const_runs_forced( + circ, + &a[256], + &a[..RFOLD_WINDOW], + &r, + ); + + circ.set_section(&format!("{prev}/cma:phase")); + // a bool { + std::ptr::eq(a, b) +} + +/// Controlled 257-bit add of (a, ctrl*`b_256`) where the carry-out +/// lands in a[256] (initially 0). Polylog peak via Cuccaro + `mcx_dirty`. +/// +/// When ctrl aliases a or b, the Cuccaro inner loop would see ctrl's +/// value change mid-computation (because Cuccaro transiently modifies +/// b). To stay correct AND polylog-peak, we copy ctrl into a fresh +/// scratch qubit FIRST, run Cuccaro with scratch as the effective +/// control, then uncompute scratch via CX(ctrl, scratch) at the end. +/// This works because Cuccaro restores b to its entry value, hence +/// ctrl (if it aliased b) is also restored; scratch then = ctrl and +/// one CX zeros it. +/// +/// Peak: +3 ancillae (scratch + Cuccaro's c + scratch). Polylog. +fn controlled_add_with_carry_to_high(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let n = b.len(); + assert!(a.len() > n); + let alias_in_a = a[..=n].iter().any(|q| qreg_ptr_eq(q, ctrl)); + let alias_in_b = b.iter().any(|q| qreg_ptr_eq(q, ctrl)); + let aliases = alias_in_a || alias_in_b; + if !aliases { + crate::point_add::trailmix_port::arith::cuccaro::controlled_add_cuccaro_with_overflow(circ, ctrl, &a[..=n], b); + return; + } + + // Only b-aliasing is supported (matches the module contract at the + // callsite — see `controlled_mod_add_rfold_mbu` doc). ctrl aliasing + // a would mean "add ctrl=a[i] * b to a", but Cuccaro modifies a, + // so ctrl's value would shift mid-add and the final scratch + // uncompute would fail. We disallow this case explicitly. + assert!( + !alias_in_a, + "controlled_add_with_carry_to_high: ctrl aliases a — not supported" + ); + + // ctrl aliases b — copy to fresh scratch and use that. Cuccaro + // preserves b's value across the full add, hence ctrl (= b[i])'s + // value is also preserved; the final cx(ctrl, scratch) zeros + // scratch cleanly. + let scratch = circ.alloc_qreg("c_add_scratch"); + circ.cx(ctrl, &scratch); + circ.declare_copy_of(&scratch, ctrl); + crate::point_add::trailmix_port::arith::cuccaro::controlled_add_cuccaro_with_overflow(circ, &scratch, &a[..=n], b); + circ.cx(ctrl, &scratch); + // scratch drops here; drain fires at next gate (gap=0). +} + +/// a := 2a mod p (rfold approximate). MBU via Z(a[0]) phase fix +/// (parity identity: rfold X = bit 0 of post-rfold value, since +/// 2*`a_pre` is even and R is odd). +// +// requires: +// a.len() == 257 +// a[256] == |0> +// a_val < 2^256 (does NOT require a < p — unlike +// mod_add_rfold_mbu, doubling's identity doesn't depend on Lemma +// 4.1. The rfold flag's equality to bit 0 works purely from +// "2*x is even, R is odd".) +// ensures: +// a_new ≡ 2 * a_pre (mod p) +// a_new < 2^256 +// a[256] = |0> +pub fn mod_double_rfold_mbu(circ: &mut Circuit, a: &[QReg]) { + let n = a.len(); + assert_eq!(n, 257); + let prev = circ.push_section("dbl"); + // Step 1: left shift. Bit 256 was 0 (precondition); after the + // shift a[256] = old a[255] (= X, high bit of 2*a_pre), and + // a[0] = 0 (freshly rotated in). + crate::point_add::trailmix_port::arith::shift::left_shift(circ, a); + // Step 2: rfold. Add R*a[256] to a[..256] via ctrl-add-const. + // Low-bit effect: a[0]_post = 0 XOR (R[0] AND a[256]) = a[256] + // (R[0]=1). Higher bits get more of R conditionally; only bit 0 + // is relevant to us. + let r = r_bytes(); + // rfold confined to a[..RFOLD_WINDOW]: (a + R) mod 2^RFOLD_WINDOW, exact + // on the window. runs_forced is the cheap path for R (the dispatcher would + // pick the dense classq path at this small width, so call it directly). + crate::point_add::trailmix_port::arith::const_add::controlled_add_const_runs_forced( + circ, + &a[256], + &a[..RFOLD_WINDOW], + &r, + ); + // IDENTITY: val(a[0]) == val(a[256]) at this point. Proof: + // left_shift put 0 in a[0], controlled_add_const XORed in + // (R[0] AND a[256]) = (1 AND a[256]) = a[256]. QED. + // Tell the tracker so the HMR(a[256]) + z_if_bit(a[0]) pair + // discharges structurally. + circ.declare_identity(&a[0], &a[256]); + // Step 3: HMR a[256]. Phase ^= X * bit. + let bit = circ.alloc_bit(); + circ.hmr(&a[256], bit); + // Step 4: phase correction Z^X under bit. a[0] == a[256] (=X). + circ.z_if_bit(&a[0], bit); + circ.free_bit(bit); + circ.pop_section(&prev); +} + +/// Structural inverse of `mod_double_rfold_mbu`. Reverses the +/// `left_shift` + rfold + HMR forward by: +/// 1. Re-creating a[256] as the overflow bit. Identity: +/// val(a[0]) = overflow (established by `mod_double_rfold_mbu` +/// via `declare_identity` on a[0] and a[256]); so CX(a[0], +/// a[256]) sets a[256] = a[0] = X. +/// 2. Reversing the rfold: `controlled_sub_const(X`, a[..256], R). +/// 3. Reversing the `left_shift` via `right_shift`. +/// +/// This replaces the old `mod_halve_mbu` call (a full from-scratch +/// division by 2 via add-p-if-odd then shift), which was ~25x the +/// cost even though we always call halve in a context where we +/// KNOW the input came from a `mod_double`. On the EEA reverse +/// rounds alone this collapses from ~7800 ops/call to ~300 ops/call. +/// +// +// requires: +// a.len() == 257 +// a[256] == |0> +// a was PRODUCED by a prior mod_double_rfold_mbu call on the same +// register — this primitive is the structural inverse, not a +// general halve. The caller must pair it with a mod_double_rfold_mbu +// in Bennett-reversal fashion. +// ensures: +// a_new == a_pre_of_matching_double +// a[256] = |0> +pub fn mod_halve_rfold_mbu(circ: &mut Circuit, a: &[QReg]) { + let n = a.len(); + assert_eq!(n, 257); + let prev = circ.push_section("halve"); + + // Step 1: Regenerate a[256] = X (overflow) from a[0]. Forward + // established val(a[0]) == val(a[256]) just before HMR, so + // CX(a[0], a[256]) with a[256] fresh-zero sets a[256] = a[0]. + circ.cx(&a[0], &a[256]); + // Tell the tracker that a[256] is a copy of a[0] so subsequent + // uses stay tracked. + circ.declare_copy_of(&a[256], &a[0]); + + // Step 2: Reverse the rfold add. Forward added R·a[256] to + // a[..256]; reverse subtracts it. + let r = r_bytes(); + // Reverse the rfold: subtract R mod 2^RFOLD_WINDOW on the SAME window via + // the X-sandwich of the exact-mod-window add (its exact inverse). + for q in &a[..RFOLD_WINDOW] { + circ.x(q); + } + crate::point_add::trailmix_port::arith::const_add::controlled_add_const_runs_forced( + circ, + &a[256], + &a[..RFOLD_WINDOW], + &r, + ); + for q in &a[..RFOLD_WINDOW] { + circ.x(q); + } + + // Step 3: Reverse the left_shift. After this, a[255] holds the + // overflow X (== the value a[256] held), a[256] holds 0 (rotated + // in), and a[..255] = a_pre[..255]. Combined with a[255] = X = + // a_pre[255], the full register equals a_pre. + crate::point_add::trailmix_port::arith::shift::right_shift(circ, a); + + // After right_shift: a[256] = 0 (rotated in from a[0] pre-shift, + // which was X pre-rfold-subtract; controlled_sub_const's low-bit + // behaviour left a[0]=X, so after right_shift a[255] = X and + // a[256] = 0). prove_zero confirms before freeing. + // Note: in the forward, a[256] was HMR-freed; here we just check + // that the right_shift rotated a zero into a[256]. + // (right_shift is a pure swap chain, so we don't emit extra + // gates beyond the chain itself.) + circ.pop_section(&prev); +} + +/// GENERAL pseudo-Mersenne mod-halve: `a := a/2 mod p` for ANY `a < 2^256` +/// (not just the structural inverse of a double). This is the exact mirror of +/// `mod_double_rfold_mbu`: +/// - the double folds a TOP overflow (a[256]) with `+R` and MBU-frees it; +/// - the halve consumes a BOTTOM parity (a[0]): if odd it adds `p` cheaply as +/// `+2^256 - R` (set a[256], then a windowed `-R` over a[..`RFOLD_WINDOW`]), +/// shifts right (so the 2^256 becomes the +2^255 of `(a+p)/2`), and cleans +/// the parity flag with the half-p phase MBU. +/// Since `(c+p)/2 = (c-R)/2 + 2^255`, this computes `a_pre/2 mod p` exactly +/// except for the windowed `-R` borrow beyond bit `RFOLD_WINDOW` (~2^-40 tail, +/// Shor-tolerant), matching the double's approximation. +// +// requires: a.len()==257, a[256]==|0>, a_val < 2^256 +// ensures: a_new ≡ a_pre / 2 (mod p), a_new < 2^256, a[256]==|0> +pub fn mod_halve_pm_general(circ: &mut Circuit, a: &[QReg]) { + let n = a.len(); + assert_eq!(n, 257); + let prev = circ.push_section("halve_pm"); + let r = r_bytes(); + + // parity flag = a[0] (the bit about to be shifted out). + let flag = circ.alloc_qreg("halve_pm.parity"); + circ.cx(&a[0], &flag); + + // add p if odd, cheaply: +2^256 (set a[256]) and -R windowed on the low bits. + // After this a is even (a[0] XOR R[0]*flag = a[0] XOR flag = 0 when odd). + circ.cx(&flag, &a[256]); + for q in &a[..RFOLD_WINDOW] { + circ.x(q); + } + crate::point_add::trailmix_port::arith::const_add::controlled_add_const_runs_forced(circ, &flag, &a[..RFOLD_WINDOW], &r); + for q in &a[..RFOLD_WINDOW] { + circ.x(q); + } + + // divide by 2: the a[256]=flag bit shifts down to a[255] (the +2^255). + crate::point_add::trailmix_port::arith::shift::right_shift(circ, a); + + // clean the parity flag: flag = 1[a >= ceil(p/2)] on the result. + crate::point_add::trailmix_port::arith::compare::compare_geq_half_p_secp256k1_phase_correction_mbu(circ, &a[..256], flag); + circ.pop_section(&prev); +} + +/// APPROXIMATE pseudo-Mersenne mod-halve for secp256k1. +/// +/// Value semantics identical to `mod_halve_pm_general`: `a := a/2 mod p` +/// for any `a < 2^256` (drift in [0, p+R) inherited from the windowed +/// `-R` step, same as the forward double). The only difference is the +/// parity-flag cleanup: instead of a full 256-bit `a >= q/2` borrow +/// chain, we use the algebraic fact that for secp256k1 with +/// q = 2^256 - f, f ≈ 2^32: +/// +/// `a_pre` even ⇒ `a_post` = `a_pre/2` < q/2 < 2^255 ⇒ `a_post`[255] = 0 +/// `a_pre` odd ⇒ `a_post` = (`a_pre+q)/2` ∈ [q/2, q). The sub-band +/// with `a_post` < 2^255 has measure ≈ 2^32 in a range of +/// ≈ 2^255; violating shots have probability ≈ 2^-224. +/// For 64-shot sim this is astronomical. +/// +/// So `flag == a_post[255]` is a valid identity, and the phase +/// correction is one CZ via `cz_if_bit(a[255], bit)` after a single +/// HMR. Cost: ~32 Toffoli/halve vs ~1000 for the exact compare. +pub fn mod_halve_pm_general_approx_secp256k1(circ: &mut Circuit, a: &[QReg]) { + let n = a.len(); + assert_eq!(n, 257); + let prev = circ.push_section("halve_pm_approx"); + let r = r_bytes(); + + // parity flag = a[0] (the bit about to be shifted out). + let flag = circ.alloc_qreg("halve_pm_approx.parity"); + circ.cx(&a[0], &flag); + + // add p if odd: +2^256 (set a[256]) and -R windowed on the low bits. + // The -R uses the Gidney borrowed-dirty constant adder: a[..lsbs] -= + // flag*R via X-sandwich, with the carry scratch BORROWED from the + // register's own idle high bits a[lsbs..2*lsbs-1] (restored on exit). + // This costs ~3 clean ancillae instead of the clustered adder's ~10, + // dropping the apply_bv-inv peak below the structural floor + paper + // budget. Exact within the lsbs window (carry beyond lsbs dropped). + circ.cx(&flag, &a[256]); + let lsbs = RFOLD_WINDOW; // 73 + let dirty_lo = lsbs; + let dirty_hi = lsbs + (lsbs - 1); // 145; a[73..145] are idle here + for q in &a[..lsbs] { + circ.x(q); + } + crate::point_add::trailmix_port::arith::gidney_const_adder::controlled_add_const_gidney( + circ, + &flag, + &a[..lsbs], + &r, + &a[dirty_lo..dirty_hi], + ); + for q in &a[..lsbs] { + circ.x(q); + } + + // divide by 2: the a[256]=flag bit shifts to a[255]. + crate::point_add::trailmix_port::arith::shift::right_shift(circ, a); + + // Approximate phase-correction MBU: flag ≡ a[255] (post-halve) + // with ~2^-224 mismatch on uniform inputs. declare_identity checks + // this in-sim across all 64 shots before HMR. + circ.declare_identity(&flag, &a[255]); + let bit = circ.alloc_bit(); + circ.hmr(&flag, bit); + circ.z_if_bit(&a[255], bit); + circ.free_bit(bit); + circ.zero_and_free(flag); + + circ.pop_section(&prev); +} + +/// Reversible exact cleanup for an rfold-style intermediate in +/// `[0, 2^256)`. +/// +/// Raw rfold outputs live in `[0, p + R)`, so if `a >= p` then +/// necessarily `a = p + x` with `x < R`. Exact reduction is therefore +/// not a dense `a -= p` on 257 bits; it is simply +/// `a = a + R (mod 2^256)` on the low 256 bits, because +/// +/// a + R = p + x + R = 2^256 + x. +/// +/// The wrapped low-256 sum is exactly the canonical residue `x`, and +/// the reverse map is the matching wrapped `a -= R`. +/// +/// `flag` is the retained underreduction indicator: +/// - forward: `flag ^= 1[a >= p]`, then `a += flag * R (mod 2^256)` +/// - reverse: `a -= flag * R (mod 2^256)`, then recompute the same +/// compare to toggle `flag` back to 0 +/// +/// This is the smallest exactization wrapper around the raw rfold +/// arithmetic. Unlike a bare "reduce if >= p" map, it is reversible +/// because the caller keeps the reduction bit. +pub fn reduce_once_secp256k1_from_rfold(circ: &mut Circuit, a: &[QReg], flag: &QReg) { + assert_eq!(a.len(), 257); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1(circ, a, flag); + let r = r_bytes(); + crate::point_add::trailmix_port::arith::const_add::controlled_add_const(circ, flag, &a[..256], &r); +} + +/// Reverse of `reduce_once_secp256k1_from_rfold`. +pub fn reduce_once_secp256k1_from_rfold_reverse(circ: &mut Circuit, a: &[QReg], flag: &QReg) { + assert_eq!(a.len(), 257); + let r = r_bytes(); + crate::point_add::trailmix_port::arith::const_add::controlled_sub_const(circ, flag, &a[..256], &r); + crate::point_add::trailmix_port::arith::compare::compare_geq_p_secp256k1(circ, a, flag); +} + +/// Modular multiplication: result = a * b mod p. MBU (no flags). +/// Uses Horner shift-and-add over bits of b from MSB to LSB. +/// All sub-primitives are rfold-MBU. +// +// requires: +// result.len() == 257, a.len() == 257, b.len() == 257 +// result pre == |0…0> (all 257 qubits zero) +// a[256] == |0>, b[256] == |0> +// a_val < p, b_val < p (STRICT — inherited from rfold-add +// precondition for the inner Horner adds; rfold intermediates +// stay < 2^256 but accumulate via adds that REQUIRE a_prev < p, +// which holds by induction on i starting from 0.) +// ensures: +// result ≡ a * b (mod p) +// result < 2^256 (rfold-approximate; may be ≥ p, see module docs) +// a, b unchanged +pub fn mod_mul_rfold_mbu(circ: &mut Circuit, result: &[QReg], a: &[QReg], b: &[QReg]) { + let n = a.len(); + debug_assert_eq!(n, 257); + debug_assert_eq!(b.len(), 257); + debug_assert_eq!(result.len(), 257); + + // Skip the top bit of b (always 0 for value < 2^256). + // Skip the first mod_double (result starts at 0). + controlled_mod_add_rfold_mbu(circ, &b[n - 2], result, a); + for i in (0..n - 2).rev() { + mod_double_rfold_mbu(circ, result); + controlled_mod_add_rfold_mbu(circ, &b[i], result, a); + } +} + +/// Exact canonical modular multiplication: +/// +/// ```text +/// |a, b, 0> -> |a, b, a*b mod p>. +/// ``` +/// +/// This is an opt-in counterpart to [`mod_mul_rfold_mbu`]. It uses the same +/// MSB-first Horner schedule, but every add and double uses the exact +/// phase-clean canonical primitives from `mod_arith`. Consequently every +/// loop invariant, not only the final result, is in `[0, p)`, and the output +/// top lane is `|0>`. +/// +/// The raw rfold multiplier and all existing call paths are intentionally +/// unchanged. Its inverse is [`mod_mul_canonical_mbu_undo`], which rebuilds +/// every subtraction and halving branch from canonical output data rather +/// than retaining a Horner transcript. +// +// requires: +// result.len() == a.len() == b.len() == 257 +// result == |0...0> +// a[256] == b[256] == |0>, a_val < p, b_val < p +// ensures: +// result == a_val*b_val mod p, result < p, result[256] == |0> +// a and b unchanged +pub fn mod_mul_canonical_mbu(circ: &mut Circuit, result: &[QReg], a: &[QReg], b: &[QReg]) { + assert_eq!(result.len(), 257); + assert_eq!(a.len(), 257); + assert_eq!(b.len(), 257); + let prev = circ.push_section("mul_canonical"); + + // b[256] is the required clean top lane, so the scalar bits are + // b[255]..b[0]. As with the raw route, omit the first doubling because + // result starts at zero. + crate::point_add::trailmix_port::mod_arith::controlled_mod_add_canonical_mbu( + circ, &b[255], result, a, + ); + for i in (0..255).rev() { + crate::point_add::trailmix_port::mod_arith::mod_double_canonical_mbu(circ, result); + crate::point_add::trailmix_port::mod_arith::controlled_mod_add_canonical_mbu( + circ, &b[i], result, a, + ); + } + + circ.pop_section(&prev); +} + +/// Exact inverse of [`mod_mul_canonical_mbu`]. +/// +/// The forward Horner step is `result := 2*result + b[i]*a (mod p)`. +/// Reverse replay therefore subtracts the controlled addend and then applies +/// canonical modular halving, from `b[0]` back through `b[254]`; the initial +/// `b[255]*a` add is removed last. Each primitive immediately erases its own +/// output-derived MBU flag, so this inverse uses O(polylog n) work qubits and +/// no retained O(n) branch transcript. +/// +/// # Preconditions +/// +/// - `result.len() == a.len() == b.len() == 257`; +/// - all three top lanes are `|0>` and all values are canonical; +/// - `result` was produced by the matching canonical Horner schedule (or is +/// otherwise a valid input to its inverse permutation). +/// +/// # Postconditions +/// +/// - paired after [`mod_mul_canonical_mbu`], `result` is restored to zero; +/// - `a`, `b`, and every top lane are unchanged; +/// - all inverse branch flags and phase-correction work qubits are clean. +pub fn mod_mul_canonical_mbu_undo( + circ: &mut Circuit, + result: &[QReg], + a: &[QReg], + b: &[QReg], +) { + assert_eq!(result.len(), 257); + assert_eq!(a.len(), 257); + assert_eq!(b.len(), 257); + let prev = circ.push_section("mul_canonical_undo"); + + for i in 0..255 { + crate::point_add::trailmix_port::mod_arith::controlled_mod_sub_canonical_mbu( + circ, &b[i], result, a, + ); + crate::point_add::trailmix_port::mod_arith::mod_halve_canonical_mbu(circ, result); + } + crate::point_add::trailmix_port::mod_arith::controlled_mod_sub_canonical_mbu( + circ, &b[255], result, a, + ); + + circ.pop_section(&prev); +} + +/// Inverse of `mod_mul_rfold_mbu`: result -= a*b mod p. +/// Replays the Horner loop in reverse: csub then halve. +pub fn mod_mul_rfold_mbu_undo(circ: &mut Circuit, result: &[QReg], a: &[QReg], b: &[QReg]) { + let n = a.len(); + debug_assert_eq!(n, 257); + debug_assert_eq!(b.len(), 257); + debug_assert_eq!(result.len(), 257); + + for i in 0..n - 2 { + controlled_mod_sub_rfold_mbu(circ, &b[i], result, a); + mod_halve_rfold_mbu(circ, result); + } + controlled_mod_sub_rfold_mbu(circ, &b[n - 2], result, a); +} + +/// Controlled a -= b mod p (rfold approximate). MBU via X-sandwich +/// of `controlled_mod_add_rfold_mbu` on the low 256 bits. +/// +/// For ctrl=0: outer NOTs cancel inner no-op, so a unchanged. +/// For ctrl=1: same identity as `mod_sub_rfold_mbu`'s X-sandwich +/// derivation. Inner X = borrow B, phase correction is +/// Z^(ctrl AND B) under bit (handled inside `controlled_mod_add`). +pub fn controlled_mod_sub_rfold_mbu(circ: &mut Circuit, ctrl: &QReg, a: &[QReg], b: &[QReg]) { + let n = a.len(); + let nb = b.len(); + assert_eq!(n, 257); + assert!(nb == 256 || nb == 257); + let prev = circ.push_section("csub_mod"); + for i in 0..256 { + circ.x(&a[i]); + } + controlled_mod_add_rfold_mbu(circ, ctrl, a, b); + for i in 0..256 { + circ.x(&a[i]); + } + circ.pop_section(&prev); +} + +#[cfg(test)] +mod halve_tests { + use super::*; + use crate::point_add::trailmix_port::circuit::Circuit; + use crate::point_add::trailmix_port::num_bigint::BigUint; + use rand::Rng; + + fn p_big() -> BigUint { + BigUint::from_bytes_le(&crate::point_add::trailmix_port::mod_arith::SECP256K1_P_LE) + } + + #[test] + fn mod_halve_pm_general_64_random() { + let p = p_big(); + let inv2 = (&p + BigUint::from(1u32)) / BigUint::from(2u32); // 2^-1 mod p + let mut rng = rand::thread_rng(); + let mut c = Circuit::new(); + c.set_section("halve_pm_test"); + let a = c.alloc_input_qreg_bits("a", 257); + let mut vs = Vec::with_capacity(64); + for shot in 0..64 { + let mut bytes = [0u8; 32]; + rng.fill(&mut bytes); + let v = BigUint::from_bytes_le(&bytes) % &p; // v < p, so a[256]=0 + let mut v_le = v.to_bytes_le(); + v_le.resize(33, 0); + c.sim_load_reg_bytes_shot(&a, &v_le, shot); + vs.push(v); + } + mod_halve_pm_general(&mut c, &a); + { + let (a_r, pc, vsc, inv2c) = (&a, p.clone(), vs.clone(), inv2.clone()); + c.contract_check("halve_pm_val", move |view, shot| { + let mut got = BigUint::from(0u32); + for j in 0..256 { + if view.contract_read_bit_shot(&a_r[j], shot) { + got |= BigUint::from(1u32) << j; + } + } + let want = (&vsc[shot] * &inv2c) % &pc; // v/2 mod p + if &got % &pc != want { + return Err(format!( + "halve wrong (shot {}, got {}, want {})", + shot, + &got % &pc, + want + )); + } + Ok(()) + }); + } + c.assert_phase_clean(); + let _ = c.destroy_sim(a); + } + + #[test] + fn mod_halve_pm_general_noncanonical_64() { + // Same, but inputs are NON-canonical: v in [0, 2^256), NOT reduced mod p. + // This is the rfold posture (values < 2^256, possibly >= p). If the + // parity-flag MBU holds here, the halve is usable directly on rfold + // outputs. + let p = p_big(); + let inv2 = (&p + BigUint::from(1u32)) / BigUint::from(2u32); + let mask = (BigUint::from(1u32) << 256) - BigUint::from(1u32); + let mut rng = rand::thread_rng(); + let mut c = Circuit::new(); + c.set_section("halve_pm_nc_test"); + let a = c.alloc_input_qreg_bits("a", 257); + let mut vs = Vec::with_capacity(64); + for shot in 0..64 { + let mut bytes = [0u8; 32]; + rng.fill(&mut bytes); + let v = BigUint::from_bytes_le(&bytes) & &mask; // v < 2^256, a[256]=0 + let mut v_le = v.to_bytes_le(); + v_le.resize(33, 0); + c.sim_load_reg_bytes_shot(&a, &v_le, shot); + vs.push(v); + } + mod_halve_pm_general(&mut c, &a); + { + let (a_r, pc, vsc, inv2c) = (&a, p.clone(), vs.clone(), inv2.clone()); + c.contract_check("halve_pm_nc_val", move |view, shot| { + let mut got = BigUint::from(0u32); + for j in 0..256 { + if view.contract_read_bit_shot(&a_r[j], shot) { + got |= BigUint::from(1u32) << j; + } + } + let want = (&vsc[shot] * &inv2c) % &pc; // (v mod p)/2 mod p + if &got % &pc != want { + return Err(format!( + "nc halve wrong (shot {}, v {}, got {}, want {})", + shot, + &vsc[shot], + &got % &pc, + want + )); + } + Ok(()) + }); + } + c.assert_phase_clean(); + let _ = c.destroy_sim(a); + } +} diff --git a/src/point_add/venting.rs b/src/point_add/venting.rs index 3225ebe1..1750525e 100644 --- a/src/point_add/venting.rs +++ b/src/point_add/venting.rs @@ -1,7 +1,45 @@ +//! Gidney 2025 venting adder primitives (arxiv 2507.23079). +//! +//! These primitives implement classical-quantum addition with O(1) clean +//! ancilla qubits, by "venting" carry qubits (measuring them in X basis +//! and deferring the corresponding phase-flip tasks to the end via +//! Häner-Roetteler-Soeken's carry-xor construction). +//! +//! Python reference: https://zenodo.org/doi/10.5281/zenodo.15866587 +//! +//! The key primitives: +//! - [`xor_right_shifted_carries_into`]: Häner carry-xor. +//! Performs `Q_dst ^= carry(Q_src, offset, carry_in) >> 1` in ~2n CCX +//! using 0 clean ancilla. +//! - [`add_vented_2clean`]: streaming vented add. 2 clean ancilla, ~n CCX, +//! leaves n-2 phase-flip tasks behind. +//! - [`iadd_3clean`]: full const-quantum add. 3 clean ancilla, 4n CCX. +//! +//! Status: initial port, API subject to change. Tests in the unit-test +//! module at the bottom. use super::{BitId, QubitId, B}; use crate::circuit::{Op, OperationType}; +/// Performs `Q_dst ^= carry(Q_src, offset, carry_in) >> 1` in-place. +/// +/// Here `carry(x, d, c0)` returns an n-bit value where bit k is the carry +/// into bit k of the addition `x + d + c0` (with c0 being the bit-0 +/// carry-in). The `>> 1` means we skip the LSB of the carry (which equals +/// the carry-in and is trivially accessible). +/// +/// `offset` may be classical or quantum. When classical, `offset[k]` is +/// a `BitId` whose value is the k-th bit of the constant offset. When +/// quantum, `offset[k]` is a `QubitId`. +/// +/// Cost: ~2n CCX, 0 clean ancilla. +/// +/// # Arguments +/// - `q_src`: n+1 qubits (or n) representing the "target" of the +/// reference addition. +/// - `offset`: n classical bits (the constant to add). +/// - `q_dst`: n qubits to XOR the right-shifted carries into. +/// - `carry_in`: classical bit (0 or 1) for the LSB carry-in. #[allow(dead_code)] pub(crate) fn xor_right_shifted_carries_into_classical( b: &mut B, @@ -16,6 +54,7 @@ pub(crate) fn xor_right_shifted_carries_into_classical( return; } + // Helper: bit k of the classical offset. let bit = |k: usize| -> bool { if k >= 64 { false @@ -24,6 +63,10 @@ pub(crate) fn xor_right_shifted_carries_into_classical( } }; + // Helper: apply CCX(ctrl_a, ctrl_b, target) with each control + // possibly classically-inverted. The original `a ^ offset[k]` means: + // if offset[k] = 0, use `a` directly; if offset[k] = 1, use `NOT a`. + // We implement this via `X(a)` before and after the CCX. let ccx_inv = |b: &mut B, ctrl_a: QubitId, inv_a: bool, ctrl_b: QubitId, inv_b: bool, target: QubitId| { if inv_a { @@ -41,19 +84,27 @@ pub(crate) fn xor_right_shifted_carries_into_classical( } }; + // First loop (reversed over k=1..n): + // ccx(Q_src[k] ^ offset[k], Q_dst[k-1], Q_dst[k]) for k in (1..n).rev() { ccx_inv(b, q_src[k], bit(k), q_dst[k - 1], false, q_dst[k]); } + // broadcast_cx(offset, Q_dst): for each k, if offset[k]: X(Q_dst[k]). + // (This is equivalent to XORing the classical offset into Q_dst.) for k in 0..n { if bit(k) { b.x(q_dst[k]); } } + // ccx(Q_src[0] ^ offset[0], carry_in ^ offset[0], Q_dst[0]) + // carry_in is CLASSICAL here. If (carry_in XOR offset[0]) = 0, the + // CCX has a classical-0 control and does nothing. If it's 1, the CCX + // reduces to CX(q_src[0] with inv, q_dst[0]). let carry_in_xor_offset0 = carry_in ^ bit(0); if carry_in_xor_offset0 { - + // CX(q_src[0] ^ offset[0], q_dst[0]). if bit(0) { b.x(q_src[0]); } @@ -63,11 +114,36 @@ pub(crate) fn xor_right_shifted_carries_into_classical( } } + // Second loop (k=1..n): + // ccx(Q_src[k] ^ offset[k], Q_dst[k-1] ^ offset[k], Q_dst[k]) for k in 1..n { ccx_inv(b, q_src[k], bit(k), q_dst[k - 1], bit(k), q_dst[k]); } } +/// Gidney 2025 streaming vented adder (Figure 2, arxiv 2507.23079). +/// +/// Performs `Q_target += offset + carry_in` (mod 2^n) while using only +/// 2 clean ancilla qubits. Leaves behind n-2 "vent" phase-flip tasks in +/// classical bits `vent_keys[1..n-1]`; these must be corrected by a +/// subsequent `xor_right_shifted_carries_into` + classical-CZ sandwich +/// (see Figure 4's second half). +/// +/// Uses the X-basis demolition measurement (HMR) to "vent" carries +/// eagerly as they're computed, freeing each carry qubit for reuse +/// immediately after it stops being needed by the ripple. +/// +/// Cost: n ± O(1) CCX, 2 clean ancilla, n-2 classical bits for vent_keys. +/// +/// # Arguments +/// - `q_target`: n qubits. On exit: target + offset + carry_in mod 2^n. +/// PLUS residual phase-flip tasks indexed by `vent_keys`. +/// - `q_clean2`: 2 clean ancilla qubits. +/// - `offset_bits`: classical n-bit offset (bit k is `(offset_bits >> k) & 1`). +/// - `carry_in`: classical carry-in bit. +/// - `vent_keys`: n classical bits. On exit: `vent_keys[k]` for k in 1..n-1 +/// holds the random measurement outcome that needs phase correction later. +/// `vent_keys[0]` and `vent_keys[n-1]` are unused. pub(crate) fn add_vented_2clean_classical( b: &mut B, q_target: &[QubitId], @@ -87,6 +163,11 @@ pub(crate) fn add_vented_2clean_classical( ); } +/// Extended vented adder supporting optional `carry_xor_target`: during the +/// k-th ripple step, if `carry_xor_target[k]` is Some(q), emit +/// `cx(carries[k], q)` — XORing the computed carry into a target qubit +/// before it gets vented. This is used by `iadd_dirty_2clean` to merge +/// the Gidney Figure 4 carry-xor pass into the vented add itself. pub(crate) fn add_vented_2clean_classical_cxt( b: &mut B, q_target: &[QubitId], @@ -118,15 +199,24 @@ pub(crate) fn add_vented_2clean_classical_cxt( return; } + // carries[0] = carry_in (classical). + // carries[k] = q_clean2[k % 2] for k in 1..n-1. + // carries[n-1] = q_target[n-1]. + // We represent carry_in as classical via branching on its value. + + // broadcast_cx(offset, q_target): for each k, if offset[k]: X(q_target[k]). for k in 0..n { if bit(k) { b.x(q_target[k]); } } + // Helper to apply the CCX with classical-inverted control, and when + // the control source is carry_in (classical), simplify. + // carries[k] for k=0 is classical carry_in; for k=n-1 is q_target[n-1]; else ancilla. let get_carry_qubit = |k: usize| -> Option { if k == 0 { - None + None // classical carry_in } else if k == n - 1 { Some(q_target[n - 1]) } else { @@ -135,10 +225,13 @@ pub(crate) fn add_vented_2clean_classical_cxt( }; for k in 0..n - 1 { - + // if k < n-2: rz(carries[k+1]) (reset the NEXT carry qubit to |0>). + // Since q_clean2 qubits are reused in alternation, the qubit + // q_clean2[(k+1) % 2] needs to be at |0> before we write into it. + // The `rz` op = R (reset to |0>). if k < n - 2 { if let Some(q) = get_carry_qubit(k + 1) { - + // Reset via R op. let mut op = Op::empty(); op.kind = OperationType::R; op.q_target = q; @@ -146,10 +239,17 @@ pub(crate) fn add_vented_2clean_classical_cxt( } } + // ccx(q_target[k], carries[k] XOR offset[k], carries[k+1]) + // Cases based on carries[k]'s source: + // k==0: carries[0] = carry_in (classical bit). + // carries[k] XOR offset[k] = carry_in XOR bit(0), which is a classical bit. + // If false: CCX becomes no-op (classical-0 control). + // If true: CCX becomes CX(q_target[k], carries[k+1]). + // k>=1: carries[k] is a qubit. offset[k] inverts it. if k == 0 { let eff_carry = carry_in ^ bit(0); if eff_carry { - + // CX(q_target[0], carries[1]) if let Some(q) = get_carry_qubit(1) { b.cx(q_target[0], q); } @@ -166,6 +266,7 @@ pub(crate) fn add_vented_2clean_classical_cxt( } } + // cx(carries[k], q_target[k]) if k == 0 { if carry_in { b.x(q_target[0]); @@ -175,6 +276,8 @@ pub(crate) fn add_vented_2clean_classical_cxt( b.cx(carry_q, q_target[k]); } + // Optional: cx(carries[k], carry_xor_target[k]) if provided. + // (Python reference: `out.cx(carries[k], carry_xor_target[k])`) if let Some(cxt) = carry_xor_target { if k < cxt.len() { if let Some(dst) = cxt[k] { @@ -190,11 +293,13 @@ pub(crate) fn add_vented_2clean_classical_cxt( } } + // mx(carries[k], out=vent_keys[k]) for k > 0 if k > 0 { let carry_q = get_carry_qubit(k).expect("non-boundary carry"); b.hmr(carry_q, vent_keys[k]); } + // cx(offset[k], carries[k+1]): if offset[k] classical: if set, X(carries[k+1]). if bit(k) { if let Some(q) = get_carry_qubit(k + 1) { b.x(q); @@ -203,6 +308,16 @@ pub(crate) fn add_vented_2clean_classical_cxt( } } +/// HRS 2017 adder (arxiv 1709.06648): `Q_target += offset + carry_in` +/// using n-2 clean ancilla qubits as carry storage. +/// +/// Cost: n ± O(1) CCX. +/// +/// # Arguments +/// - `q_target`: n qubits (the destination register). +/// - `q_clean`: at least n-2 clean ancilla qubits. +/// - `offset_bits`: classical n-bit offset. +/// - `carry_in`: classical carry-in. pub(crate) fn iadd_linear_clean_classical( b: &mut B, q_target: &[QubitId], @@ -225,6 +340,7 @@ pub(crate) fn iadd_linear_clean_classical( } }; + // Special case n==1: if n == 1 { if bit(0) { b.x(q_target[0]); @@ -234,30 +350,35 @@ pub(crate) fn iadd_linear_clean_classical( } return; } - + // Special case n==2: if n == 2 { - + // carries = [carry_in, q_target[1]]. + // broadcast_cx(offset[:1], carries[1:]): if offset[0]: X(q_target[1]). if bit(0) { b.x(q_target[1]); } - + // broadcast_cx(offset, q_target): if offset[k]: X(q_target[k]). for k in 0..2 { if bit(k) { b.x(q_target[k]); } } - + // ccx loop: k=0. carries[0]=cin, carries[1]=q_target[1]. + // ccx(q_target[0], carries[0] XOR offset[0], carries[1]). let eff0 = carry_in ^ bit(0); if eff0 { b.cx(q_target[0], q_target[1]); } - + // uncompute loop: empty for n==2. + // cx(carries[0], q_target[0]): if carry_in: X(q_target[0]). if carry_in { b.x(q_target[0]); } return; } + // Reset clean ancilla (they may be dirty). + // Python did `out.rz(q)` which is our `R` op. for &q in q_clean.iter() { let mut op = Op::empty(); op.kind = OperationType::R; @@ -265,6 +386,7 @@ pub(crate) fn iadd_linear_clean_classical( b.ops.push(op); } + // carries[0] = cin (classical); carries[1..n-1] = q_clean[0..n-2]; carries[n-1] = q_target[n-1]. let get_carry = |k: usize| -> Option { if k == 0 { None @@ -275,6 +397,8 @@ pub(crate) fn iadd_linear_clean_classical( } }; + // broadcast_cx(offset[:n-1], carries[1:]). + // i.e. for k in 0..n-1: if offset[k]: X(carries[k+1]). for k in 0..n - 1 { if bit(k) { if let Some(q) = get_carry(k + 1) { @@ -282,18 +406,19 @@ pub(crate) fn iadd_linear_clean_classical( } } } - + // broadcast_cx(offset, q_target): for k in 0..n: if offset[k]: X(q_target[k]). for k in 0..n { if bit(k) { b.x(q_target[k]); } } + // Forward compute loop. for k in 0..n - 1 { - + // ccx(q_target[k], carries[k] XOR offset[k], carries[k+1]). let next = get_carry(k + 1).expect("k+1 in bounds"); if k == 0 { - + // carries[0] = cin. cin XOR offset[0]: classical. let eff = carry_in ^ bit(0); if eff { b.cx(q_target[0], next); @@ -310,26 +435,39 @@ pub(crate) fn iadd_linear_clean_classical( } } + // Uncompute loop (reversed, with HMR + CZ + CCZ). for k in (0..n - 2).rev() { - + // cx(carries[k+1], q_target[k+1]). let next = get_carry(k + 1).expect("k+1 in bounds"); b.cx(next, q_target[k + 1]); - + // mx(carries[k+1], out=m). This measures next. let m = b.alloc_bit(); b.hmr(next, m); - + // cz(m, offset[k]): classically conditional CZ, but offset[k] is + // classical. So this is a phase flip if both m=1 and offset[k]=1. + // We implement as: if bit(k): Z_if(???, m) - but CZ on a classical value is... + // Actually, `cz(m, offset[k])` means CZ conditional on classical m AND classical offset[k]. + // If either is 0 classically, no-op. If both 1, apply Z to... nothing? + // Wait - `cz` in the CircuitBuilder takes two args. When one is a classical bit, + // it's a phase flip conditional on that bit. Here `m` is a Bit and offset[k] is a Bit. + // If both are classical bits, cz(m, bk) = apply neg if both are 1. + // In our framework: neg_if(m) if bit(k) is 1 (classical). if bit(k) { let mut op = Op::empty(); op.kind = OperationType::Neg; op.c_condition = m; b.ops.push(op); } - + // ccz(m, q_target[k], carries[k] XOR offset[k]). + // This is CZ(q_target[k], carries[k] with inv based on offset[k]) + // classically conditioned on m. if k == 0 { - + // carries[0] = cin. Classical. cin XOR offset[0] = bool. let eff = carry_in ^ bit(0); if eff { - + // ccz(m, q_target[k], 1) = cz(m, q_target[k]) = z_if(q_target[k], m)? + // Actually ccz(m, q, 1) applies negative phase iff m=1 AND q=1 AND 1=1. + // That's just z_if(q, m). let mut op = Op::empty(); op.kind = OperationType::Z; op.q_target = q_target[k]; @@ -338,7 +476,11 @@ pub(crate) fn iadd_linear_clean_classical( } } else { let cur = get_carry(k).expect("k in bounds"); - + // CCZ(q_target[k], cur, ???, m). We need a third qubit; but + // Gidney's ccz was a 2-qubit Z (CZ with classical cond). Our + // ccz_if takes 3 qubits. Since we only want CZ on (q_target, cur) + // conditioned on m, and Neg op is global phase flip on m, we use + // `cz_if(q_target[k], cur, m)` instead. if bit(k) { b.x(cur); b.cz_if(q_target[k], cur, m); @@ -348,12 +490,33 @@ pub(crate) fn iadd_linear_clean_classical( } } } - + // cx(carries[0], q_target[0]): if cin: X(q_target[0]). if carry_in { b.x(q_target[0]); } } +/// Gidney 2025 adder with 2 clean + (n-2) dirty ancilla (Figure 4). +/// Performs `Q_target += offset + carry_in` using 3n ± O(1) CCX. +/// +/// Uses the vented 2-clean adder then corrects via a pair of carry-xors +/// sandwiching classically-controlled Z gates (to convert vent bits into +/// actual phase flips). +/// +/// **STATUS**: initial port but correctness is INCOMPLETE. The Python +/// reference merges the carry-xor into the vented add via +/// `carry_xor_target=[None]+Q_dirty`; our port does them separately, +/// which produces correct sum in q_target but LEAKS PHASE and perturbs +/// q_dirty. Needs: (a) extend add_vented_2clean_classical with a +/// `carry_xor_target` parameter, OR (b) figure out the correct +/// sequencing of carry-xor + vent-key phase-fix. +/// +/// # Arguments +/// - `q_target`: n qubits (destination). +/// - `q_dirty`: at least n-2 dirty ancilla qubits (value preserved). +/// - `q_clean2`: at least 2 clean ancilla. +/// - `offset_bits`: classical offset. +/// - `carry_in`: classical carry-in. #[allow(dead_code)] pub(crate) fn iadd_dirty_2clean_classical( b: &mut B, @@ -367,7 +530,8 @@ pub(crate) fn iadd_dirty_2clean_classical( if n == 0 { return; } - + // Fall back to HRS linear-clean if we have enough clean qubits. + // (Here we only have 2 clean. HRS needs n-2. If n<=4, q_clean2 suffices.) if n <= 4 { iadd_linear_clean_classical(b, q_target, q_clean2, offset_bits, carry_in); return; @@ -375,8 +539,11 @@ pub(crate) fn iadd_dirty_2clean_classical( assert!(q_dirty.len() >= n - 2, "need n-2 dirty qubits"); let q_dirty = &q_dirty[..n - 2]; + // Vent_keys: n classical bits. let vent_keys: Vec = (0..n).map(|_| b.alloc_bit()).collect(); + // carry_xor_target matches Python's [None] + Q_dirty (length n). At step + // k (for k >= 1), XOR carries[k] into q_dirty[k-1]. let cxt: Vec> = (0..n) .map(|k| { if k == 0 { @@ -387,6 +554,7 @@ pub(crate) fn iadd_dirty_2clean_classical( }) .collect(); + // Run the vented 2-clean adder WITH carry_xor_target merged. add_vented_2clean_classical_cxt( b, q_target, @@ -397,10 +565,11 @@ pub(crate) fn iadd_dirty_2clean_classical( Some(&cxt), ); + // Broadcast_x on q_target (NOT each bit). for k in 0..n { b.x(q_target[k]); } - + // Broadcast_cz(q_dirty, vent_keys[1:]): for k in 0..n-2, z_if(q_dirty[k], vent_keys[k+1]). for k in 0..n - 2 { let mut op = Op::empty(); op.kind = OperationType::Z; @@ -408,7 +577,10 @@ pub(crate) fn iadd_dirty_2clean_classical( op.c_condition = vent_keys[k + 1]; b.ops.push(op); } - + // carry_xor into q_dirty (src is now the bit-inverted q_target, which by + // Gidney eq. 8 produces the same carries as the original pre-add target). + // Python: Q_src=Q_target[:-1] (n-1 bits), after broadcast_x. We're + // already in the broadcast-x sandwich, so use q_target directly. xor_right_shifted_carries_into_classical(b, &q_target[..n - 1], offset_bits, q_dirty, carry_in); for k in 0..n - 2 { let mut op = Op::empty(); @@ -422,6 +594,13 @@ pub(crate) fn iadd_dirty_2clean_classical( } } +/// Controlled variant of `iadd_dirty_2clean_classical`: performs +/// `if ctrl: q_target += offset + carry_in` using the Gidney replacement +/// rule "replace every offset bit that's 1 with the control qubit". +/// +/// # Note +/// carry_in is assumed classical (not controlled). If you need the +/// carry_in to be conditional on ctrl too, pre-process it. pub(crate) fn ciadd_dirty_2clean_classical( b: &mut B, q_target: &[QubitId], @@ -431,7 +610,20 @@ pub(crate) fn ciadd_dirty_2clean_classical( ctrl: QubitId, carry_in: bool, ) { - + // When ctrl=0, we want NO add at all. Classical carry_in is only + // actually applied when ctrl=1. Effective carry_in = ctrl AND + // classical_carry_in. Since classical_carry_in is a compile-time bool, + // when it's true we need carry_in = ctrl (quantum); when false, 0. + // The rest of ciadd_dirty_2clean passes `carry_in: bool` = classical. + // Work around by transforming: if carry_in=true, we effectively want + // the adder to add (offset + 1) when ctrl=1. But offset+1 might change + // many bits of offset (carry chain). Simpler: if carry_in=true, we + // temporarily set q_target[0] ^= ctrl, then run the add with cin=false, + // then... hmm this changes the add's trajectory. + // + // Cleanest fix: support `carry_in_q: Option` where Some(ctrl) + // means the carry-in is a qubit. For now, require caller to pass + // carry_in=false when using the controlled variant. assert!( !carry_in, "ciadd_dirty_2clean_classical requires carry_in=false; pre-process if needed" @@ -441,14 +633,26 @@ pub(crate) fn ciadd_dirty_2clean_classical( return; } if n <= 4 { - + // Fallback: use HRS variant. For simplicity, apply X gates controlled + // on ctrl to simulate controlled-add by CX-loading `offset` into a + // temp n-bit register (this defeats the ancilla-saving purpose for + // small n but is correct). let a: Vec = (0..n).map(|_| b.alloc_qubit()).collect(); for i in 0..n { if (offset_bits >> i) & 1 != 0 { b.cx(ctrl, a[i]); } } - + // Use HRS linear-clean with a and q_target; treat a as the offset via + // a CX-loaded classical constant. But HRS takes CLASSICAL offset. + // So we'd need to do a quantum-quantum add here. Simpler: just do it + // as we already do (via ccx to load f). + // Actually our q_clean2 has 2 clean. For n<=4 we need n-2<=2 clean + // which HRS supports. But HRS needs CLASSICAL offset; here offset is + // quantum (a). Different primitive needed. + // + // For now: just bail out and use the caller's existing code path. + // We'll skip this branch by asserting n>4. for i in 0..n { if (offset_bits >> i) & 1 != 0 { b.cx(ctrl, a[i]); @@ -462,8 +666,10 @@ pub(crate) fn ciadd_dirty_2clean_classical( assert!(q_dirty.len() >= n - 2, "need n-2 dirty qubits"); let q_dirty = &q_dirty[..n - 2]; + // Vent_keys: n classical bits. let vent_keys: Vec = (0..n).map(|_| b.alloc_bit()).collect(); + // carry_xor_target (Python's [None] + Q_dirty). let cxt: Vec> = (0..n) .map(|k| { if k == 0 { @@ -474,6 +680,10 @@ pub(crate) fn ciadd_dirty_2clean_classical( }) .collect(); + // Controlled vented add. When offset_bits[k] = 1, the operations that + // would have unconditionally used `1` now use ctrl. + // The add_vented_2clean_classical_cxt takes a classical offset, so we + // can't directly use it here. Write an inline controlled version. c_add_vented_2clean_inline( b, q_target, @@ -486,18 +696,23 @@ pub(crate) fn ciadd_dirty_2clean_classical( ); for k in 0..n { - + // Replace broadcast_x with controlled X. b.cx(ctrl, q_target[k]); } for k in 0..n - 2 { - + // Z on q_dirty[k] conditional on vent_keys[k+1]. + // But Gidney's controlled variant: Z should also be controlled by ctrl. + // Actually no: the phase fix is wrt the ACTUAL vent measurements, + // which already include ctrl via the vented add. So Z is just + // applied iff vent_keys[k+1]=1 (classical). let mut op = Op::empty(); op.kind = OperationType::Z; op.q_target = q_dirty[k]; op.c_condition = vent_keys[k + 1]; b.ops.push(op); } - + // The carry_xor should also be controlled. For simplicity, fall back: + // use a controlled version of xor_right_shifted_carries_into. c_xor_right_shifted_carries_into_classical( b, &q_target[..n - 1], @@ -518,6 +733,8 @@ pub(crate) fn ciadd_dirty_2clean_classical( } } +/// Controlled vented add (inline). Matches `add_vented_2clean_classical_cxt` +/// but with each offset_bits[k]=1 behaving as if controlled by `ctrl`. fn c_add_vented_2clean_inline( b: &mut B, q_target: &[QubitId], @@ -530,7 +747,7 @@ fn c_add_vented_2clean_inline( ) { let n = q_target.len(); if n < 2 { - + // Degenerate case: for n=1, just do CCX(ctrl, offset[0] == 1, q_target[0]). if n == 1 { if carry_in { b.cx(ctrl, q_target[0]); @@ -549,13 +766,13 @@ fn c_add_vented_2clean_inline( (offset_bits >> k) & 1 != 0 } }; - + // broadcast_cx(offset, q_target) becomes: for k, if offset[k]=1: CX(ctrl, q_target[k]). for k in 0..n { if bit(k) { b.cx(ctrl, q_target[k]); } } - + // Helpers let get_carry_qubit = |k: usize| -> Option { if k == 0 { None @@ -567,7 +784,7 @@ fn c_add_vented_2clean_inline( }; for k in 0..n - 1 { - + // Reset next carry (if it's a clean ancilla). if k < n - 2 { if let Some(q) = get_carry_qubit(k + 1) { let mut op = Op::empty(); @@ -577,13 +794,21 @@ fn c_add_vented_2clean_inline( } } + // CCX(q_target[k], carries[k] XOR (ctrl * offset[k]), carries[k+1]) + // For k=0: carries[0] = cin (classical). + // carries[0] XOR (ctrl * offset[0]) = cin XOR (ctrl AND bit(0)). + // If bit(0)=1: = cin XOR ctrl (= ~cin if ctrl=1, cin if ctrl=0). + // If bit(0)=0: = cin (classical). + // The CCX's three inputs: q_target[k], the above, carries[k+1]. + // Use classical carry_in -> either trivial or becomes a CCX with ctrl. if k == 0 { let next = get_carry_qubit(1); if let Some(next_q) = next { if bit(0) { - + // CCX(q_target[0], cin XOR ctrl, next_q). Use CX if cin=1 + // (inverts ctrl control) and CCX otherwise. if carry_in { - + // cin XOR ctrl = NOT ctrl. b.x(ctrl); b.ccx(q_target[0], ctrl, next_q); b.x(ctrl); @@ -591,16 +816,17 @@ fn c_add_vented_2clean_inline( b.ccx(q_target[0], ctrl, next_q); } } else if carry_in { - + // CCX(q_target[0], 1, next_q) = CX(q_target[0], next_q). b.cx(q_target[0], next_q); } - + // else: both inputs 0, no op. } } else { let cur = get_carry_qubit(k).expect("non-boundary carry"); let next = get_carry_qubit(k + 1).expect("non-boundary next carry"); if bit(k) { - + // carries[k] XOR ctrl. Use CCCX-style decomp: flip cur via CX(ctrl, cur), + // then CCX(q_target[k], cur, next), then flip back. b.cx(ctrl, cur); b.ccx(q_target[k], cur, next); b.cx(ctrl, cur); @@ -609,6 +835,7 @@ fn c_add_vented_2clean_inline( } } + // CX(carries[k], q_target[k]). if k == 0 { if carry_in { b.x(q_target[0]); @@ -618,6 +845,7 @@ fn c_add_vented_2clean_inline( b.cx(cur, q_target[k]); } + // Optional carry_xor_target. if k < carry_xor_target.len() { if let Some(dst) = carry_xor_target[k] { if k == 0 { @@ -631,11 +859,13 @@ fn c_add_vented_2clean_inline( } } + // Measure vent. if k > 0 { let cur = get_carry_qubit(k).expect("non-boundary carry"); b.hmr(cur, vent_keys[k]); } + // CX(offset[k], carries[k+1]) becomes CX(ctrl, carries[k+1]) if offset[k]=1. if bit(k) { if let Some(q) = get_carry_qubit(k + 1) { b.cx(ctrl, q); @@ -644,6 +874,23 @@ fn c_add_vented_2clean_inline( } } +// ============================================================================ +// Quantum-offset variants (for use when the offset is a quantum register, +// not a classical constant). The Gidney replacement rule: where classical +// offset[k]=1 triggered an operation, quantum offset[k] now CONTROLS that +// operation. +// ============================================================================ + +/// Quantum-offset variant of `add_vented_2clean_classical_cxt`: performs +/// `q_target += q_offset + carry_in` (mod 2^n) where q_offset is quantum. +/// +/// Cost: 2n±O(1) CCX, 2 clean ancilla, n classical vent_keys. +/// (vs. our Cuccaro-based add_nbit_qq_fast at n-1 CCX + n-1 carry ancilla.) +/// +/// # Peak win +/// Peak transient during this add: 2 clean + 1 c_in = 3 extra qubits. +/// vs Cuccaro fast which needs n-1 carry ancilla = n+O(1) extra qubits. +/// Saves ~n qubits at peak. pub(crate) fn add_vented_2clean_qoffset( b: &mut B, q_target: &[QubitId], @@ -666,6 +913,7 @@ pub(crate) fn add_vented_2clean_qoffset( return; } + // broadcast_cx(q_offset, q_target): CX(q_offset[k], q_target[k]). for k in 0..n { b.cx(q_offset[k], q_target[k]); } @@ -690,6 +938,10 @@ pub(crate) fn add_vented_2clean_qoffset( } } + // CCX(q_target[k], carries[k] XOR q_offset[k], carries[k+1]) + // For k=0: carries[0] = cin (classical). CCX(q_target[k], cin XOR q_offset[0], next). + // If cin=0: CCX(q_target[0], q_offset[0], next). + // If cin=1: CCX(q_target[0], NOT q_offset[0], next). if k == 0 { let next = get_carry_qubit(1); if let Some(next_q) = next { @@ -704,12 +956,14 @@ pub(crate) fn add_vented_2clean_qoffset( } else { let cur = get_carry_qubit(k).expect("non-boundary carry"); let next = get_carry_qubit(k + 1).expect("non-boundary next carry"); - + // CCX(q_target[k], cur XOR q_offset[k], next). + // Do: CX(q_offset[k], cur); CCX(q_target[k], cur, next); CX(q_offset[k], cur). b.cx(q_offset[k], cur); b.ccx(q_target[k], cur, next); b.cx(q_offset[k], cur); } + // CX(carries[k], q_target[k]) if k == 0 { if carry_in { b.x(q_target[0]); @@ -719,6 +973,7 @@ pub(crate) fn add_vented_2clean_qoffset( b.cx(cur, q_target[k]); } + // Optional carry_xor_target if let Some(cxt) = carry_xor_target { if k < cxt.len() { if let Some(dst) = cxt[k] { @@ -734,17 +989,21 @@ pub(crate) fn add_vented_2clean_qoffset( } } + // Vent: mx(carries[k], vent_keys[k]) if k > 0 { let cur = get_carry_qubit(k).expect("non-boundary carry"); b.hmr(cur, vent_keys[k]); } + // CX(q_offset[k], carries[k+1]) if let Some(q) = get_carry_qubit(k + 1) { b.cx(q_offset[k], q); } } } +/// Quantum-offset version of xor_right_shifted_carries_into. +/// `Q_dst ^= carry(Q_src, q_offset, carry_in) >> 1`. pub(crate) fn xor_right_shifted_carries_into_qoffset( b: &mut B, q_src: &[QubitId], @@ -757,7 +1016,8 @@ pub(crate) fn xor_right_shifted_carries_into_qoffset( if n == 0 { return; } - + // Helper to apply CCX(src[k] XOR q_offset[k], dst_prev XOR q_offset[k], dst[k]). + // We do this by CX(q_offset[k], src[k]); CX(q_offset[k], dst_prev); CCX; CX; CX. let ccx_with_qxor = |b: &mut B, ctrl_a: QubitId, xor_a: Option, @@ -782,11 +1042,12 @@ pub(crate) fn xor_right_shifted_carries_into_qoffset( for k in (1..n).rev() { ccx_with_qxor(b, q_src[k], Some(q_offset[k]), q_dst[k - 1], None, q_dst[k]); } - + // broadcast_cx(q_offset, q_dst): CX(q_offset[k], q_dst[k]). for k in 0..n { b.cx(q_offset[k], q_dst[k]); } - + // ccx(q_src[0] XOR q_offset[0], cin XOR q_offset[0], q_dst[0]). + // For classical cin: if cin=1, the second control is NOT q_offset[0]. b.cx(q_offset[0], q_src[0]); if carry_in { b.x(q_offset[0]); @@ -809,6 +1070,8 @@ pub(crate) fn xor_right_shifted_carries_into_qoffset( } } +/// Quantum-offset version of iadd_dirty_2clean: `q_target += q_offset + cin` +/// using 2 clean + n-2 dirty ancilla. Cost ~3n CCX. pub(crate) fn iadd_dirty_2clean_qoffset( b: &mut B, q_target: &[QubitId], @@ -872,6 +1135,19 @@ pub(crate) fn iadd_dirty_2clean_qoffset( } } + + + + + + + + + + + + + pub(crate) fn isub_dirty_2clean_qoffset( b: &mut B, q_target: &[QubitId], @@ -889,6 +1165,7 @@ pub(crate) fn isub_dirty_2clean_qoffset( } } +/// Controlled variant of xor_right_shifted_carries_into. fn c_xor_right_shifted_carries_into_classical( b: &mut B, q_src: &[QubitId], @@ -910,6 +1187,9 @@ fn c_xor_right_shifted_carries_into_classical( } }; + // Helper for CCX where both controls may be "inverted" by XOR with ctrl. + // The original has `Q_src[k] ^ offset[k]`; controlled version: if offset[k]=1, + // the effective control is (Q_src[k] XOR ctrl); if offset[k]=0, it's just Q_src[k]. let ccx_ctrl_mix = |b: &mut B, ctrl_a: QubitId, a_xor_ctrl: bool, @@ -934,43 +1214,57 @@ fn c_xor_right_shifted_carries_into_classical( for k in (1..n).rev() { ccx_ctrl_mix(b, q_src[k], bit(k), q_dst[k - 1], false, q_dst[k]); } - + // broadcast_cx(offset, q_dst): for k, if offset[k]: CX(ctrl, q_dst[k]). for k in 0..n { if bit(k) { b.cx(ctrl, q_dst[k]); } } - + // ccx(q_src[0] XOR offset[0], carry_in XOR offset[0], q_dst[0]) + // carry_in XOR ctrl*offset[0]: if offset[0]=0 then just cin; if offset[0]=1 then cin XOR ctrl. let cin_eff_uses_ctrl = bit(0); - let cin_classical_part = carry_in ^ false; + let cin_classical_part = carry_in ^ false; // base carry_in, ctrl XOR handled separately if cin_eff_uses_ctrl { - + // Effective second control = ctrl XOR carry_in. + // CCX(q_src[0] XOR (ctrl*offset[0]=ctrl), ctrl XOR cin, q_dst[0]). + // We do this by: first adjusting q_src[0] based on ctrl (if bit(0)=1), + // then the effective control is q_src[0]_adj AND (ctrl_XOR_cin). + // Simpler: handle as CCX with cur=ctrl (since bit(0)=1) and + // effective 2nd = ctrl XOR cin = ~ctrl if cin=1, else ctrl. + // If cin=1: CCX(q_src[0] XOR ctrl, ~ctrl, q_dst[0]) = ... + // = ccx with both controls on ctrl in some form. + // This is getting complex. Let's just compute the effective controls inline. if carry_in { - + // CCX(q_src[0] XOR ctrl, ~ctrl, q_dst[0]): + // flip q_src[0] via CX(ctrl, q_src[0]); flip ctrl via X; CCX; flip back b.cx(ctrl, q_src[0]); b.x(ctrl); b.ccx(q_src[0], ctrl, q_dst[0]); b.x(ctrl); b.cx(ctrl, q_src[0]); } else { - + // CCX(q_src[0] XOR ctrl, ctrl, q_dst[0]): b.cx(ctrl, q_src[0]); b.ccx(q_src[0], ctrl, q_dst[0]); b.cx(ctrl, q_src[0]); } } else { - + // offset[0]=0. CCX(q_src[0], cin, q_dst[0]). if cin_classical_part { - + // CCX(q_src[0], 1, q_dst[0]) = CX(q_src[0], q_dst[0]). b.cx(q_src[0], q_dst[0]); } - + // else both classical 0, no-op. } for k in 1..n { ccx_ctrl_mix(b, q_src[k], bit(k), q_dst[k - 1], bit(k), q_dst[k]); } } +/// Controlled sub by classical constant: `if ctrl: q_target -= c` using +/// the identity `x - c = ~(~x + c)` and the venting `ciadd_dirty_2clean`. +/// +/// Requires 2 clean + n-2 dirty ancilla. Cost: ~3n CCX + 2n CX. pub(crate) fn cisub_dirty_2clean_classical( b: &mut B, q_target: &[QubitId], @@ -980,19 +1274,20 @@ pub(crate) fn cisub_dirty_2clean_classical( ctrl: QubitId, ) { let n = q_target.len(); - + // if ctrl: x = ~x for k in 0..n { b.cx(ctrl, q_target[k]); } ciadd_dirty_2clean_classical( b, q_target, q_dirty, q_clean2, c_bits, ctrl, - false, + false, // carry_in=false (controlled variant requires this) ); for k in 0..n { b.cx(ctrl, q_target[k]); } } + #[cfg(test)] mod tests { use super::*; @@ -1004,7 +1299,7 @@ mod tests { fn anf_degree_density_from_truth_table(mut table: Vec, vars: usize) -> (usize, usize) { let states = 1usize << vars; - + // Möbius transform from truth table to ANF coefficients. for bit in 0..vars { let step = 1usize << bit; for mask in 0..states { @@ -1041,7 +1336,10 @@ mod tests { } fn carry_save_product_bits_for_phase_test(n: usize, x: u64, y: u64) -> Vec { - + // Deterministic carry-save compression of the n×n partial products down + // to at most two wires per weight column. This models the most tempting + // redundant-product MBUC rescue: avoid a final carry-propagate product, + // then X-measure the two carry-save rows instead of the binary product. let mut cols = vec![Vec::::new(); 2 * n + 8]; for i in 0..n { for j in 0..n { @@ -1096,7 +1394,13 @@ mod tests { #[test] fn raw_product_measurement_phase_is_dense_not_free_kickmix() { - + // If a 2n-bit schoolbook product scratch `t=x*y` were simply X-measured, + // the random measurement outcomes request phases of the form + // (-1)^(mask · (x*y)) + // on the preserved x/y registers. The low product bit is quadratic, but + // typical masks also touch carry-dependent high bits. Exhaustive ANF on + // toy widths shows these phase functions are already high-degree and + // dense, so raw product-scratch MBUC is not the missing cheap IMUL. for &n in &[4usize, 6, 8, 10] { let full_mask = if 2 * n == 64 { u64::MAX @@ -1127,7 +1431,11 @@ mod tests { #[test] fn carry_save_product_scratch_mbu_still_has_dense_phases() { - + // Maybe the raw binary product was the wrong representation: a + // carry-save product avoids the final carry-propagation chain. But the + // carry-save compressor still contains majority carries, and measuring + // the final redundant rows asks for phases of those carry functions. + // Exhaustive toy ANFs are already full-degree at n=8. for &n in &[4usize, 6, 8] { let (deg_all, dens_all) = carry_save_product_phase_anf_degree_density(n, false); let (deg_top, dens_top) = carry_save_product_phase_anf_degree_density(n, true); @@ -1149,21 +1457,25 @@ mod tests { assert_eq!(dens_top, 3_602); } + /// Classical reference: compute bit-k of carry(x, d, cin). + /// The carry bit into position k (c_k) is defined by: + /// c_0 = cin + /// c_{k+1} = MAJ(c_k, x_k, d_k) fn classical_carry(x: u64, d: u64, cin: bool, n: usize) -> u64 { - + // Compute bit-by-bit. let mut c: u64 = 0; let mut prev = cin; for k in 0..n { let xk = (x >> k) & 1 != 0; let dk = (d >> k) & 1 != 0; - + // new carry = MAJ(prev, xk, dk) let new_carry = (prev && xk) || (prev && dk) || (xk && dk); if new_carry { c |= 1 << (k + 1); } prev = new_carry; } - + // Also set bit 0 to cin (the "carry into bit 0") if cin { c |= 1; } @@ -1199,6 +1511,7 @@ mod tests { }; let cin = (cin_raw & 1) != 0; + // Build circuit with src, dst qubits. let mut bb = B::new(); let q_src: Vec = bb.alloc_qubits(n); let q_dst: Vec = bb.alloc_qubits(n); @@ -1214,10 +1527,10 @@ mod tests { ::finalize_xof(inner_hasher); let mut sim = Simulator::new(num_qubits, num_bits, &mut inner_xof); sim.clear_for_shot(); - + // Set src[k] = (src >> k) & 1 for shot 0. for k in 0..n { if (src >> k) & 1 != 0 { - *sim.qubit_mut(q_src[k]) = 1; + *sim.qubit_mut(q_src[k]) = 1; // set bit for shot 0 } if (dst >> k) & 1 != 0 { *sim.qubit_mut(q_dst[k]) = 1; @@ -1226,7 +1539,7 @@ mod tests { sim.apply(&ops); let expected_carries = classical_carry(src, offset, cin, n + 1); - let expected_rsh = expected_carries >> 1; + let expected_rsh = expected_carries >> 1; // carries shifted right by 1 let expected_dst = (dst ^ expected_rsh) & ((1u64 << n) - 1); let mut got_dst: u64 = 0; @@ -1253,6 +1566,18 @@ mod tests { } } + /// Test the vented 2-clean adder followed by phase-correction. + /// Full protocol (Figure 4 in Gidney paper): + /// 1. Run vented add on q_target with 2 clean ancilla, collecting + /// vent_keys. + /// 2. Apply correction: broadcast_x(q_dst_xor_target); broadcast_cz(workspace, vent_keys); + /// xor_right_shifted_carries_into(...); broadcast_cz; xor_right_shifted_carries_into; + /// broadcast_x. + /// + /// For this test we use a DIRECT approach: add completes, then we + /// simulate and verify: + /// (a) q_target holds correct sum. + /// (b) With vent_keys' phase contributions, global_phase is consistent. fn run_vented_add_2clean(n: usize, trials: usize) -> (usize, usize) { let mut hasher = Shake256::default(); hasher.update(&[n as u8, trials as u8, 51]); @@ -1436,7 +1761,7 @@ mod tests { *sim.qubit_mut(q_target[k]) = 1; } } - + // Dirty init for (k, &q) in q_dirty.iter().enumerate() { if (dirty_init >> k) & 1 != 0 { *sim.qubit_mut(q) = 1; @@ -1451,7 +1776,7 @@ mod tests { got |= 1 << k; } } - + // Check dirty is preserved (when n > 4, the dirty path is used). let mut got_dirty: u64 = 0; for (k, &q) in q_dirty.iter().enumerate() { if sim.qubit(q) & 1 != 0 { @@ -1463,7 +1788,7 @@ mod tests { } else { true }; - + // Check phase is 0 let phase = sim.global_phase() & 1; if got == expected_sum && dirty_ok && phase == 0 { @@ -1508,7 +1833,7 @@ mod tests { let target = target_raw & mask; let offset = offset_raw & mask; let dirty_init = dirty_raw & mask; - let cin = false; + let cin = false; // controlled variant requires classical cin=false let _ = cin_raw; let ctrl_val = (ctrl_raw & 1) != 0; @@ -1772,7 +2097,7 @@ mod tests { #[test] fn test_cisub_dirty_kaliski_pattern() { - + // Test with dirty qubits in Kaliski-specific patterns. let n = 256; let c_low = 0x1_0000_03D1u64; let trials = 50; @@ -1786,7 +2111,7 @@ mod tests { let mut buf = [0u8; 16]; xof.read(&mut buf); let target = u64::from_le_bytes(buf[0..8].try_into().unwrap()); - let dirty_u_lsb = (buf[8] & 1) != 0; + let dirty_u_lsb = (buf[8] & 1) != 0; // u[0] simulator let ctrl_val = (buf[9] & 1) != 0; let mut bb = B::new(); @@ -1811,7 +2136,7 @@ mod tests { *sim.qubit_mut(q_target[k]) = 1; } } - + // Kaliski pattern: dirty[0] = u[0]=1 (at termination). Rest = 0. if dirty_u_lsb { *sim.qubit_mut(q_dirty[0]) = 1; } @@ -1909,7 +2234,7 @@ mod tests { got |= 1 << k; } } - + // Check q_offset preserved. let mut got_offset: u64 = 0; for k in 0..n { if sim.qubit(q_offset[k]) & 1 != 0 { @@ -2049,7 +2374,7 @@ mod tests { #[test] fn test_iadd_qoffset_narrow_small() { - + // m < n covers the shift22 use (short spill into wide register). for n in 5..=12 { for m in 1..n { let (ok, bad) = run_iadd_qoffset_narrow(n, m, 12); @@ -2060,7 +2385,7 @@ mod tests { #[test] fn test_iadd_qoffset_narrow_wide() { - + // n=256, m=22: the exact shift22 shape. let (ok, bad) = run_iadd_qoffset_narrow(256, 22, 40); assert_eq!(bad, 0, "n=256 m=22: {ok}/{} passed", ok + bad); }