ggmath

A math library for games and graphics with support for generics and SIMD.

The library features:

• Vectors: Vec2<T>, Vec3<T>, Vec4<T>.
• Square Matrices (todo): Mat2<T>, Mat3<T>, Mat4<T>.
• Quaternion (todo): Quat<T>.
• Affine Transformations (todo): Affine2<T>, Affine3<T>.
• Masks (todo): Mask2<T>, Mask3<T>, Mask4<T>.

For appropriate scalars these types are SIMD aligned and use SIMD instructions to maximize performance.

As a result of SIMD alignment, some of these types have padding. For example, Vec3<f32> is aligned to 16 bytes and as a result has 4-bytes of padding. To fix this the library features unaligned types which don't have padding but are not backed by SIMD:

• Vectors: Vec2U<T>, Vec3U<T>, Vec4U<T>.
• Square Matrices (todo): Mat2U<T>, Mat3U<T>, Mat4U<T>.
• Quaternion (todo): QuatU<T>.
• Affine Transformations (todo): Affine2U<T>, Affine3U<T>.
• Masks (todo): Mask2U<T>, Mask3U<T>, Mask4U<T>.

Unaligned types are useful for situations where saving memory is high priority, for example when storing large arrays of these types.

All of these types are specific cases of these generic structs:

• Vector<N, T, A>.
• Matrix<N, T, A> (todo).
• Quaternion<T, A> (todo).
• Affine<N, T, A> (todo).
• Mask<N, T, A> (todo).

Where:

• N is the length (2, 3, or 4).
• T is the scalar type.
• A is either Aligned or Unaligned.

The full generic form of these types are useful to write code that is generic over length and or alignment.

Development Status

ggmath is not mature yet but is under active development.

Feature List:

• Vectors
• Square Matrices
• Quaternion
• Affine Transformations
• Masks
• Sufficient Float-Vector functionality
• Sufficient Int-Vector functionality
• Sufficient Matrix functionality
• Sufficient Quaternion functionality
• Sufficient Affine functionality

Crate Support:

• bytemuck
• libm
• mint
• serde
• zerocopy

Performance:

• f32 SSE2 optimizations
• f32 SSE4.2+ optimizations
• f64 AVX+ optimizations
• i32 u32 SSE2+ optimizations
• i8 u8 bool SSE2+ optimizations for Mat4<T>
• i16 u16 AVX2+ optimizations for Mat4<T>
• f32 NEON optimizations
• i32 u32 NEON optimizations
• i8 u8 bool NEON optimizations for Mat4<T>
• f32 WASM optimizations
• i32 u32 WASM optimizations
• i8 u8 bool WASM optimizations for Mat4<T>

Usage

Add this to your Cargo.toml:

[dependencies]
ggmath = "0.15.0"

For no_std support, disable default features:

[dependencies]
ggmath = { version = "0.15.0", default-features = false }

While std can be disabled, libm support is missing so no_std doesn't support most float functionality.

Cargo Features

• std (default feature): Uses std as the backend for float functionality.

• assertions: Enables assertions in release mode. Assertions are panics that catch invalid input and are enabled by default in debug mode.

• no-assertions: Disables assertions in debug mode. Library crates should not directly enable assertions or no-assertions and should leave the decision to binary crates.

Dependencies

ggmath has no dependencies.

License

Licensed under either Apache License Version 2.0 or MIT license at your option.