/vectormath

Primary LanguageC++

This is the vector math and geometry library I've been slowly accreting for more than 30 years. It's not that pretty, and it's not that clean, but it does a lot of what I need whenever I whip up a little graphics test. I'm putting it in this repository to have a central copy.

Some functions and classes in this implementation and notes of interest:

  • vec2, vec3, vec4 - These expose the member array as float* so something like v[0] will work.
  • dot, min, max, length, normalize, reflect, refract, and the normal math operators are all templated on the vector class (or any other class you'd like that defines vector_size)
  • rot4f - Angle-axis rotation. Notably mult and operator* concatenate rotations.
  • mat4f - 4x4 matrix, including convenience functions scale, translation, rotation, inverse, transpose, frustum and mult
    • inverse contains some very old code that inverts mat4f using Gaussian elimination.
  • vec4 operator*(const vec4& in, const mat4f& m) multiplies a vector by a matrix.
  • make_plane turns a vector and two vectors normal to the first vector into a "vector-distance" representation (useful for ray-plane intersection)
  • ray can be transformed by a mat4f
  • convenience functions transform_ray also transform a pair of origin and direction vec3 by a matrix
  • aabox can be constructed empty or from min and max vec3s, then extended with vec3s or more aaboxs or spheres made of a vec3 center and float radius.
  • add_sphere extends a center and radius to enclose another center and radius.
  • range encapsulates an interval that can be intersected with another range
  • ray_intersect_box yields a range from a ray and aabox; the range may be empty indicating the ray didn't intersect the aabox.