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78 changes: 62 additions & 16 deletions src/q2.ts
Original file line number Diff line number Diff line change
Expand Up @@ -83,22 +83,34 @@ export const DTYPE_TO_Q2: Record<string, Q2Dtype> = {
* Regenerate with: bun run build:wat
*/
const WASM_B64 =
'AGFzbQEAAAABHARgAX8BfWADf39/AX1gBX9/f39/AX9gAn9/AX4DBQQAAQIDBQMBAAgGBgF/AEEACwce' +
'AwNtZW0CAAtxMl9xdWFudGlzZQACBnEyX2tleQADCrsGBFgBA38gAEGAgAJxQRB0IQEgAEEKdkEfcSEC' +
'IABB/wdxIQMgAkUEQCABvg8LIAJBH0YEQCABQYCAgPwHIANBDXRycr4PCyABIAJB8ABqQRd0IANBDXRy' +
'cr4LigEBAX8CQAJAAkACQAJAIAIOBAABAgMECyAAIAFBAnRqKgIADwsgACABQQF0ai8BABAADwsgACAB' +
'aiwAALIPCyAAIAFBAXZqLQAAIQMgAUEBcQRAIANBD3EhAwUgA0EEdiEDCyADQQhrsg8LIAAgAUECdmot' +
'AAAhAyADQQMgAUEDcWtBAXR2QQNxswu8AwMEfwR9BH8gAkECdiEFIANBBEYEQEEAIQYCQANAIAYgBU8N' +
'ASAEIAZqIAAgBmotAAA6AAAgBkEBaiEGDAALCyAFDwtBACEGAkADQCAGIAJPDQEgAUEBayACbCAGaiEH' +
'IwAgBkECdGohCCAIIAAgByADEAE4AgAgBkEBaiEGDAALC0MAAAAAIQpBACEGAkADQCAGIAJPDQEjACAG' +
'QQJ0aioCACEJIAogCSAJlJIhCiAGQQFqIQYMAAsLIApDlZXmJF4EQEMAAIA/IAqRlSELQQAhBgJAA0Ag' +
'BiACTw0BIwAgBkECdGohCCAIIAgqAgAgC5Q4AgAgBkEBaiEGDAALCwtDCKwsPyACs5GVIQxBACEGAkAD' +
'QCAGIAVPDQEgBCAGakEAOgAAIAZBAWohBgwACwtBACEGAkADQCAGIAJPDQEjACAGQQJ0aioCACEJQQMh' +
'DSAJIAyMXwRAQQAhDQUgCUMAAAAAXwRAQQEhDQUgCSAMXwRAQQIhDQsLCyANIA1BAXZzIQ4gBkECdiEP' +
'QQMgBkEDcWtBAXQhECAEIA9qIAQgD2otAAAgDiAQdHI6AAAgBkEBaiEGDAALCyAFC5UBAwZ/AX4Bf0H/' +
'ASEHQgAhCEEAIQlBACECAkADQCACIAFPDQEgAkECdiEDQQMgAkEDcWtBAXQhBCAAIANqLQAAIAR2QQNx' +
'IQUgBUECcSAFQQF2IAVBAXFzciEGIAYgB0cEQCAGIQcgCUEgSQRAIAggBq1BPiAJQQF0a62GhCEIIAlB' +
'AWohCQsLIAJBAWohAgwACwsgCAs=';
'AGFzbQEAAAABIwVgAX8BfWADf39/AX1gBX9/f39/AX9gAn9/AX5gA39/fwF/AwYFAAECAwQFAwEACAYG' +
'AX8AQQALBzAEA21lbQIAC3EyX3F1YW50aXNlAAIGcTJfa2V5AAMPcTJfbGVlX2Rpc3RhbmNlAAQKgwwF' +
'WAEDfyAAQYCAAnFBEHQhASAAQQp2QR9xIQIgAEH/B3EhAyACRQRAIAG+DwsgAkEfRgRAIAFBgICA/Acg' +
'A0ENdHJyvg8LIAEgAkHwAGpBF3QgA0ENdHJyvguKAQEBfwJAAkACQAJAAkAgAg4EAAECAwQLIAAgAUEC' +
'dGoqAgAPCyAAIAFBAXRqLwEAEAAPCyAAIAFqLAAAsg8LIAAgAUEBdmotAAAhAyABQQFxBEAgA0EPcSED' +
'BSADQQR2IQMLIANBCGuyDwsgACABQQJ2ai0AACEDIANBAyABQQNxa0EBdHZBA3GzC7EHBQR/BH0Efwt7' +
'An8gAkECdiEFIANBBEYEQEEAIQYCQANAIAYgBU8NASAEIAZqIAAgBmotAAA6AAAgBkEBaiEGDAALCyAF' +
'DwsgAUUEQEEADwsgA0UEQCAAIAFBAWsgAmxBAnRqIRxBACEGAkADQCAGIAJPDQEjACAGQQJ0aiAcIAZB' +
'AnRq/QAEAP0LBAAgBkEEaiEGDAALC0MAAAAA/RMhEkEAIQYCQANAIAYgAk8NASMAIAZBAnRq/QAEACER' +
'IBIgESAR/eYB/eQBIRIgBkEEaiEGDAALCyASIBL9DQgJCgsMDQ4PAAECAwQFBgchEyASIBP95AEhEiAS' +
'IBL9DQQFBgcAAQIDCAkKCwwNDg8hEyASIBP95AEhEiAS/R8AIQogCkOVleYkXgRAQwAAgD8gCpGVIQsg' +
'C/0TIRFBACEGAkADQCAGIAJPDQEjACAGQQJ0aiEIIAggCP0ABAAgEf3mAf0LBAAgBkEEaiEGDAALCwtD' +
'CKwsPyACs5GVIQwgDP0TIRQgDIz9EyEVQwAAAAD9EyEWQQAhBgJAA0AgBiACTw0BIwAgBkECdGr9AAQA' +
'IREgESAV/UUhFyARIBb9RSEYIBEgFP1FIRlBAv0RQQP9ESAZ/VIhGkEB/REgGiAY/VIhGkEA/REgGiAX' +
'/VIhGiAaIBpBAf2tAf1RIRsgG/0bAEEGdCAb/RsBQQR0ciAb/RsCQQJ0IBv9GwNyciEdIAQgBkECdmog' +
'HToAACAGQQRqIQYMAAsLIAUPC0EAIQYCQANAIAYgAk8NASABQQFrIAJsIAZqIQcjACAGQQJ0aiEIIAgg' +
'ACAHIAMQATgCACAGQQFqIQYMAAsLQwAAAAAhCkEAIQYCQANAIAYgAk8NASMAIAZBAnRqKgIAIQkgCiAJ' +
'IAmUkiEKIAZBAWohBgwACwsgCkOVleYkXgRAQwAAgD8gCpGVIQtBACEGAkADQCAGIAJPDQEjACAGQQJ0' +
'aiEIIAggCCoCACALlDgCACAGQQFqIQYMAAsLC0MIrCw/IAKzkZUhDEEAIQYCQANAIAYgBU8NASAEIAZq' +
'QQA6AAAgBkEBaiEGDAALC0EAIQYCQANAIAYgAk8NASMAIAZBAnRqKgIAIQlBAyENIAkgDIxfBEBBACEN' +
'BSAJQwAAAABfBEBBASENBSAJIAxfBEBBAiENCwsLIA0gDUEBdnMhDiAGQQJ2IQ9BAyAGQQNxa0EBdCEQ' +
'IAQgD2ogBCAPai0AACAOIBB0cjoAACAGQQFqIQYMAAsLIAULlQEDBn8BfgF/Qf8BIQdCACEIQQAhCUEA' +
'IQICQANAIAIgAU8NASACQQJ2IQNBAyACQQNxa0EBdCEEIAAgA2otAAAgBHZBA3EhBSAFQQJxIAVBAXYg' +
'BUEBcXNyIQYgBiAHRwRAIAYhByAJQSBJBEAgCCAGrUE+IAlBAXRrrYaEIQggCUEBaiEJCwsgAkEBaiEC' +
'DAALCyAIC9EBAgN/BXsgAkECdiEDQQAhBUEAIQQCQANAIARBEGogA0sNASAAIARq/QAEACABIARq/QAE' +
'AP1RIQYgBv1iIQcgB/19IQggCP1/IQkgCSAJ/Q0ICQoLDA0ODwABAgMEBQYHIQogCSAK/a4BIQkgCSAJ' +
'/Q0EBQYHAAECAwgJCgsMDQ4PIQogCSAK/a4BIQkgBSAJ/RsAaiEFIARBEGohBAwACwsCQANAIAQgA08N' +
'ASAFIAAgBGotAAAgASAEai0AAHNpaiEFIARBAWohBAwACwsgBQs=';

function b64ToBytes(b64: string): Uint8Array {
const bin = atob(b64.replace(/\s+/g, ''));
Expand Down Expand Up @@ -154,6 +166,19 @@ export interface Q2Kernel {
* @returns 64-bit key as BigInt (DESIGN.md §2.2)
*/
key(_packedOffset: number, _n: number): bigint;

/**
* Compute the Lee distance between two packed Gray-encoded Q² vectors.
*
* Uses SIMD-accelerated XOR + popcnt to exploit the Gray-map isometry
* (DESIGN.md §2.7 Theorem 2.1): d_H(φ(u), φ(v)) = d_L(u, v).
*
* @param aOffset - byte offset in WASM memory for the first packed vector
* @param bOffset - byte offset in WASM memory for the second packed vector
* @param n - original embedding dimension (n/4 packed bytes per vector)
* @returns total Lee distance (sum of per-dimension distances)
*/
leeDistance(_aOffset: number, _bOffset: number, _n: number): number;
}

// ─── Instantiation ────────────────────────────────────────────────────────────
Expand All @@ -180,6 +205,7 @@ async function instantiate(): Promise<Q2Kernel> {
mem: WebAssembly.Memory;
q2_quantise: (_ip: number, _sl: number, _n: number, _dt: number, _op: number) => number;
q2_key: (_sp: number, _n: number) => bigint;
q2_lee_distance: (_ap: number, _bp: number, _n: number) => number;
};
const e = instance.exports as WasmExports;

Expand All @@ -191,6 +217,9 @@ async function instantiate(): Promise<Q2Kernel> {
key(packedOffset, n) {
return e.q2_key(packedOffset, n);
},
leeDistance(aOffset, bOffset, n) {
return e.q2_lee_distance(aOffset, bOffset, n);
},
};
}

Expand Down Expand Up @@ -302,3 +331,20 @@ export function l2Normalise(data: Float32Array, n: number): Float32Array {

return v;
}

/**
* Compute the Lee distance between two packed Gray-encoded Q² vectors.
*
* This is a convenience re-export of {@link leeDistancePacked} from q2stats.ts.
* Both exploit the Gray-map isometry (DESIGN.md §2.7 Theorem 2.1):
* d_H(φ(u), φ(v)) = d_L(u, v)
*
* Hamming distance on Gray-encoded bits equals Lee distance on Z₄ originals,
* so the total distance is simply popcount(a XOR b) over all packed bytes.
* Distance is computed over min(a.length, b.length) bytes.
*
* @param a - first packed Gray-encoded vector (n/4 bytes)
* @param b - second packed Gray-encoded vector (n/4 bytes)
* @returns total Lee distance (sum of per-dimension Lee distances)
*/
export { leeDistancePacked as q2LeeDistanceDirect } from './q2stats.js';
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