mathematics

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General-purpose math utilities for .NET, mostly oriented around game development.

GoldMeridian.Mathematics

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Contains primitive math types. Vectors and matrices are source-generated to ensure accuracy and to speed up development.

• Vectors:

  • relevant vector types:
    • sbyte,
    • byte,
    • short,
    • ushort,
    • int,
    • uint,
    • long,
    • ulong,
    • float,
    • double,
    • bool;
  • 1-4 lanes:
    • automatic conversion between scalar and 1-lane types,
    • automatic conversion between applicable SIMD intrinsic vectors,
    • padding to align to closest SIMD intrinsic size;
  • swizzling (mirrors HLSL):
    • getters for all possible combinations,
    • setters for combinations without repeat fields;
  • constructors (mirrors HLSL):
    • broadcasting (scalar -> all lanes),
    • mixing different dimensions (e.g. float4(float x, float2 yz, float w), float4(float3 xyz, float w));
  • parity with Vector2/3/4 operators;
  • parity with Vector2/3/4 public properties:
    • AllBitsSet (TODO),
    • One (also True for bools),
    • Zero (also False for bools),
    • NegativeZero,
    • E,
    • NaN,
    • NegativeInfinity,
    • Pi,
    • PositiveInfinity,
    • Tau,
    • UnitX (also TrueX for bools),
    • UnitY (also TrueY for bools),
    • UnitZ (also TrueZ for bools),
    • UnitW (also TrueW for bools);
  • parity with Vector2/3/4 public methods (TODO).

• Matrices:

  • TODO (after vectors).

GoldMeridian.Mathematics.Iwakura

"Lain Iwakura" and it has lanes... get it?

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Lane-agnostic math APIs with a source generator that generates overloads for methods for all viable types. Supports SIMD-width implementations and is designed to closely mirror the .NET SIMD intrinsic APIs to ensure all possible functionality.

Allows you to easily map high-level math functions (think linear interpolation, Bézier curves, anything of that nature) to multiple lanes in parallel without concern for the lane implementations. Concretely-typed overloads (float, Vector2, float2, etc.) will be automatically generated by the source generator for ease-of-use.

TODO, porting from DAYBREAK.