vectormath

A pure Crystal linear algebra library providing generic vector, matrix, and quaternion structs.

Installation

1. Add the dependency to your shard.yml:

   dependencies:
     vectormath:
       github: mathalaxy/vectormath

2. Run shards install

Usage

Example:

require "vectormath"

v = VM.vec3f(3, 4, 5)
a = VM.mat2x3f(
  1, 0, -1,
  0, 2,  3
)
puts "A=#{a}", "A/2=#{a/2}", "A*v=#{a*v}"

The package comprises generic structs for vectors, matrices, and quaternions. Those structs are all located under the namespace VM.

Compared with other packages, vectormath classifies vectors and matrices by their underlying scalar type as well as their dimensionality, leading to better type safety. Thus the following are all examples of different types:

• Vec2(Int32)
• Vec2(BigFloat)
• Vec3(Complex)
• Mat3x2(Float64)
• Mat3(Float32) – which is itself an alias for the quadratic matrix type Mat3x3(Float32).

Objects can be created using new, bracket macros on the generic types (e.g., Vec3[1, 2, 3]), or through GLSL-style convenience macros, like in the example at the beginning of this section.

Development

All classes have been thoroughly tested and are so far working well. As I use them for an OpenGL game engine, the types are made with OpenGL (shader) interoperability in mind.

Currently there is only a small subset of linear algebra implemented. Things that might be very nice to have include:

• Matrix inversion
• Linear equation systems
• Other standard LA algorithms

Contributing

1. Fork it (https://github.com/mathalaxy/vectormath/fork)
2. Create your feature branch (git checkout -b my-new-feature)
3. Commit your changes (git commit -am 'Add some feature')
4. Push to the branch (git push origin my-new-feature)
5. Create a new Pull Request

Contributors

• mathalaxy - creator and maintainer