Structs and methods for linear algebra.

This crate provides 3 main types of structs that implement basic arithmetic operations like + and -, and also pervide useful methods:

• Structs for handling vectors like Vec2 and Vec3.
• Structs for handling arrays of vectors with different types of memory orginization, like Vec3arr and Vec3box, for fixed length arrays and boxed arrays respectively.
• Structs for handling square matricies like Mat22 and Mat33.

Vectors can be easily initialized and used: rust use lineq::vec3::Vec3; let a : Vec3 = Vec3::UP; let b : Vec3 = Vec3 { x: -1.0, y: 0.0, z: 0.0 }; assert_eq!(a.cross(b),Vec3::IN);

Arrays of vectors can be used to parallelize arithmetic: rust use lineq::vec3::Vec3; use lineq::vec3arr::Vec3arr; //using a and b from last example: let ab : Vec3arr = Vec3arr([a,b]); let cd : Vec3arr = Vec3arr([Vec3::DOWN,Vec3::RIGHT]); assert_eq!(ab + cd, Vec3arr([Vec3::ZERO,Vec3::ZERO]));

Matricies are indexed like x1, y2, z3 ... where x, y, z are the rows and 1, 2, 3 are the columns: rust use lineq::vec3::Vec3; use lineq::mat33::Mat33; //using a and b from first example: let c : Vec3 = Vec3{ x: 1.0, y: -1.0, z: 2.0 }; let m1 : Mat33 = Mat33::augment(a,b,c); let m2 : Mat33 = Mat33{ x1: 0.0, x2: -1.0, x3: 1.0, y1: 1.0, y2: 0.0, y3: -1.0, z1: 0.0, z2: 0.0, z3: 2.0 } assert_eq!(m1,m2);