A mathematics library for 3D computer graphics.
cgmath, solving the most common tasks quickly.f32 and f64 bases are supported.rust
let projection = mat4!();
let inverse_projection = projection.inverse();
let ndc = vec2!(-0.5, 0.5);
let eye = inverse_projection * vec4!(ndc, -1, 1);
let view = euler::Trs::new(vec3!(1, 0, -1), quat!(1, 0, 0; PI / 2.0), vec3!(1.0)).matrix();
let inverse_view = view.inverse();
let world = inverse_view * vec4!(eye.xy(), -1, 0);
let ray = world.xyz().normalize();
The creation of euler is a reaction to the common design choices of popular existing libraries such as cgmath, euclid, and nalgebra. The author believes that, although these libraries are suitable for a wide range of use cases, they are not nearly simple enough for application code where vector and matrix code is very common such as 3D games. The author believes these libraries suffer from 'genericitis' (plagued with many layers of abstraction and/or generics) to the point of being impractical for quick prototyping.
The author wishes to provide a library that:
vec2 to vec4 and mat4 to mat3.dvec2 to/from vec2.The author intends to achieve the above objectives by mimicking GLSL syntax through the Rust macro system. The euler macro syntax is designed to capture the most common usages of GLSL vector and matrix constructors; however, it is not designed to match exactly the syntax of GLSL.
The following are answers to questions and comments that have been asked by members of the rust-gamedev community.
Yes, since Rust doesn't allow function overloading. One may use euler without the macros but that would defeat the point!
That's correct. This is a side-effect of using macros in their current state, however in applications such as 3D games where vector and matrix code is so common, it is an unnecessary inconvenience to have to import preludes, traits, and type aliases for every module. If this rings alarm bells in your ears then perhaps euler isn't for you.
Maybe, but I personally haven't noticed. Since the library performs only shallow macro expansions (usually a single function call) and there is very little generic code, compile times are assumed to be 'fast enough'.
The library's stance is that transforming vectors should be explicit through the mathematics and not through the type system. Therefore, when transforming 3D vectors, users are encouraged to multiply using vec4!(xyz, 1) for position vectors and vec4!(xyz, 0) for direction vectors explicitly.
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