Some C++ header only mathematical type templates and utilities I use in personal projects.
To use, just #include <mathspp/maths.hpp>.
Template Types
| Type | Description |
|---|---|
| vec3<> | 3D Vector |
| vec2<> | 2D Vector |
| affine3<> | 3x3 affine transformation matrix & translation |
| bounds<> | 3D axis-aligned bounding box |
Generic Types
| Type | Description |
|---|---|
| Real | float |
| Vec3 | vec3<Real> |
| Vec2 | vec2<Real> |
| Affine3 | affine3<Real> |
| Bounds | bounds<Real> |
Template Constants
| Constant |
|---|
| PI |
| PI2 |
| INV_PI |
| INV_PI2 |
| E_NUM |
| MAX_REAL |
| MIN_REAL |
Utility functions
| Function |
|---|
| Clamp(x, min, max) |
| Lerp(a, b, ratio) |
| BarycentricInterpolation(p0, p1, p2, u, v) |
| Fract(v) |
| FindInterval(size, predicate) |
| Dot(v1, v2) |
| Cross(*v1, v2) |
| DistSq(v1, v2) |
| Rotate(v, axis, theta) |
| SphericalDirection(sin_theta, cos_theta, phi) |
| SphericalTheta(v) |
| SphericalPhi(v) |
| WorldToLocal(v, n, b, t) |
| LocalToWorld(v, n, b, t) |
| Union(b1, b2) |
| BITFLAG(n) |