vectormatrix

Idiomatic Matrix and Vector types for Rust.

This crate implements small stack-allocated Vector and Matrix types with the obvious semantics and operations. no_std support and zero dependencies.

Operations

Most obvious matrix and vector operations including:

• scalar addition, subtraction, and multiplication, including operator overloading
• elementwise addition, subtraction, and multiplication, including operator overloading wherever applicable
• map operations
• approximate equality for floating point types

vector operations

• dot and cross product
• length, square length
• norm
• convert to/from row and column matrix

matrix operations

• matrix multiplication
• transpose
• determinant (for 2x2, 3x3, and 4x4)
• inverse (for 2x2, 3x3, and 4x4)
• common affine transformations: translation, rotation, scaling, shear

Type design

• Use generics to support any element type
• Use const generics to encode the matrix size in the type system and avoid heap allocation
• Where practical, use generics for optimized code at any matrix size
• Where mathematically appropriate, implement particular algorithms for particular size
• Allow inline of most operations
• Use repr(Rust) so that the compiler may optimize memory for simd, etc. (Convert to your own repr(C) type if you need specific memory layout).
• API design should allow for simd or hardware accelerated ops 'in the future'.