Math Namespace Reference
Utility functions for vector and matrix types. More...
Functions | |
| LM_INLINE auto | Union (const Bound &a, const Bound &b) -> Bound |
| Merge two bounds. | |
| LM_INLINE auto | Union (const Bound &a, const Vec3 &p) -> Bound |
| Merge one bound and a point. | |
| LM_INLINE auto | IntersectBound (const Bound &bound, const Ray &ray, Float tMin, Float tMax) -> bool |
| Intersection query between ray and bound. | |
| template<typename T = Float> | |
| constexpr auto | Pi () -> T |
| template<typename T = Float> | |
| constexpr auto | InvPi () -> T |
| template<typename T = Float> | |
| constexpr auto | Inf () -> T |
| template<typename T = Float> | |
| constexpr auto | EpsLarge () -> T |
| template<> | |
| constexpr auto | EpsLarge< float > () -> float |
| template<typename T = Float> | |
| constexpr auto | Eps () -> T |
| template<> | |
| constexpr auto | Eps< float > () -> float |
| template<typename T = Float> | |
| constexpr auto | EpsIsect () -> T |
| template<typename T > | |
| constexpr auto | Radians (const T &v) -> T |
| template<typename T > | |
| constexpr auto | Degrees (const T &v) -> T |
| template<typename T > | |
| LM_INLINE auto | Cos (const T &v) -> T |
| template<typename T > | |
| LM_INLINE auto | Sin (const T &v) -> T |
| template<typename T > | |
| LM_INLINE auto | Tan (const T &v) -> T |
| template<typename T > | |
| LM_INLINE auto | Abs (const T &v) -> T |
| template<typename T > | |
| LM_INLINE auto | Sqrt (const T &v) -> T |
| template<typename T > | |
| LM_INLINE auto | Fract (const T &v) -> T |
| template<typename T > | |
| LM_INLINE auto | Pow (const T &base, const T &exp) -> T |
| template<typename T > | |
| LM_INLINE auto | Min (const T &v1, const T &v2) -> T |
| template<typename T > | |
| LM_INLINE auto | Max (const T &v1, const T &v2) -> T |
| template<typename T > | |
| LM_INLINE auto | Clamp (const T &v, const T &min, const T &max) -> T |
| template<typename T , SIMD Opt, template< typename, SIMD > class VecT> | |
| LM_INLINE auto | Min (const VecT< T, Opt > &v1, const VecT< T, Opt > &v2) -> VecT< T, Opt > |
| template<typename T , SIMD Opt, template< typename, SIMD > class VecT> | |
| LM_INLINE auto | Max (const VecT< T, Opt > &v1, const VecT< T, Opt > &v2) -> VecT< T, Opt > |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | Dot (const TVec3< T, Opt > &v1, const TVec3< T, Opt > &v2) -> T |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | Dot (const TVec4< T, Opt > &v1, const TVec4< T, Opt > &v2) -> T |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | Cross (const TVec3< T, Opt > &v1, const TVec3< T, Opt > &v2) -> TVec3< T, Opt > |
| template<typename T , SIMD Opt, template< typename, SIMD > class VecT> | |
| LM_INLINE T | Length2 (const VecT< T, Opt > &v) |
| template<typename T , SIMD Opt, template< typename, SIMD > class VecT> | |
| LM_INLINE auto | Length (const VecT< T, Opt > &v) -> T |
| template<typename T , SIMD Opt, template< typename, SIMD > class VecT> | |
| LM_INLINE auto | Normalize (const VecT< T, Opt > &v) -> VecT< T, Opt > |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | LocalCos (const TVec3< T, Opt > &v) -> T |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | LocalTan (const TVec3< T, Opt > &v) -> T |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | IsZero (const TVec3< T, Opt > &v) -> bool |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | Transpose (const TMat3< T, Opt > &m) -> TMat3< T, Opt > |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | Transpose (const TMat4< T, Opt > &m) -> TMat4< T, Opt > |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | Inverse (const TMat3< T, Opt > &m) -> TMat3< T, Opt > |
| template<typename T , SIMD Opt> | |
| LM_INLINE auto | Inverse (const TMat4< T, Opt > &m) -> TMat4< T, Opt > |
| template<typename T , SIMD Opt> | |
| LM_INLINE TMat4< T, Opt > | Translate (const TMat4< T, Opt > &m, const TVec3< T, Opt > &v) |
| template<typename T , SIMD Opt> | |
| LM_INLINE TMat4< T, Opt > | Translate (const TVec3< T, Opt > &v) |
| template<typename T , SIMD Opt> | |
| LM_INLINE TMat4< T, Opt > | Rotate (const TMat4< T, Opt > &m, const T &angle, const TVec3< T, Opt > &axis) |
| template<typename T , SIMD Opt> | |
| LM_INLINE TMat4< T, Opt > | Rotate (const T &angle, const TVec3< T, Opt > &axis) |
| template<typename T , SIMD Opt> | |
| LM_INLINE TMat4< T, Opt > | Scale (const TMat4< T, Opt > &m, const TVec3< T, Opt > &v) |
| template<typename T , SIMD Opt> | |
| LM_INLINE TMat4< T, Opt > | Scale (const TVec3< T, Opt > &v) |
| template<typename T , SIMD Opt> | |
| auto | OrthonormalBasis (const TVec3< T, Opt > &a, TVec3< T, Opt > &b, TVec3< T, Opt > &c) -> void |
Detailed Description
Utility functions for vector and matrix types.