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GGMath - Generic Graphics Math

graphics-math crate with powerful generics that are truely zero-cost

• simple API

use ggmath::vector::*;

fn main() {
  let _2_4_ = vec2!(2.0_f32, 4.0);
  let vec = vec4!(1.0, _2_4_, 3.0).xywz();

  assert_eq!(vec, vec4!(1.0, 2.0, 3.0, 4.0));
}

• powerful generics

use ggmath::vector::{f32_aliases::*, *};

struct MyStruct<const N: usize, T: Scalar, A: VecAlignment> where ScalarCount<N>: VecLen {
  gg: Vector<N, T, A>,
  go: Vector<N, T, VecAligned>,
  og: FVec3,
  //oo: go back to Java
}

• both column-major and row-major matricies

use ggmath::matrix::*;

fn example(row_major: Mat4R, column_major: Mat2x3C) {}

• 0-cost abstraction - fully optimized with SIMD on current stable Rust

restrictions:

• only supports static vectors (2, 3, 4) and matricies (2, 3, 4)x(2, 3, 4)
• won't support const-contexts until const-traits are stablized

Scalar

The Scalar trait allows types to be put inside math types (vectors, matricies...)

The magic of this crate is that when you implement Scalar, you can override the implementation of Vector functions to make optimizations

• All Vector functions that are possible to optimize can be overriden

Vector

the Vector struct is generic over:

• <const N: usize> where ScalarCount<N>: VecLen - only 2, 3, and 4 are valid vector lengths
• <T: Scalar> - f32? u8? isize? CustomF256?
• <A: VecAlignment> - doesn't affect API, VecAligned is faster, VecPacked saves memory

don't want to be generic? use type aliases! Vec2<f32>/FVec2/IVec3/BVec4

Matrix

the Matrix struct is generic over:

• <const C: usize> where ScalarCount<C>: VecLen - column count
• <const R: usize> where ScalarCount<R>: VecLen - row count
• <T: Scalar> - "f32? u8? isize? CustomF256?"
• <A: VecAlignment> - a matrix is built of vectors...
• <M: MatrixMajorAxis> - internally row-major or column major?

don't want to be generic? use Mat3C<f32>/FMat4x2RP

GPU integration

GGMath is built with GPU struct integration in mind.

when making Vertex structs, use VecPacked to save space

when making Uniform structs, use VecAligned which has size & alignment rules that uniforms require

Type Aliases

ggmath's type aliases have naming rules:

Vectors:

Vec'N'<T> -> Vector<'N', T, VecAligned> For example: Vec2<f32> -> Vector<2, f32, VecAligned>

Vec'N'P<T> -> Vector<'N', T, VecPacked> For example: Vec4P<f32> -> Vector<4, f32, VecPacked>

'T'Vec'N' -> Vector<'N', 'T', VecAligned> For example: FVec2 -> Vector<2, f32, VecAligned>

'T'Vec'N'P -> Vector<'N', 'T', VecPacked> For example: U8Vec3P -> Vector<3, u8, VecPacked>

Matricies

Mat'C'x'R'C<T> -> Matrix<'C', 'R', T, VecAligned, ColumnMajor> For example: Mat2x3C<f32> -> Matrix<2, 3, f32, VecAligned, ColumnMajor>

Mat'C'x'R'R<T> -> Matrix<'C', 'R', T, VecAligned, RowMajor> For example: Mat4x3R<bool> -> Matrix<4, 3, bool, VecAligned, RowMajor>

Mat'C'x'R'CP<T> -> Matrix<'C', 'R', T, VecPacked, ColumnMajor> For example: Mat3CP<f64> -> Matrix<3, 3, f64, VecPacked, ColumnMajor>

Mat'C'x'R'RP<T>, 'T'Mat'C'x'R'C...