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Diffstat (limited to 'external/include/glm/detail/func_matrix.inl')
-rw-r--r-- | external/include/glm/detail/func_matrix.inl | 401 |
1 files changed, 401 insertions, 0 deletions
diff --git a/external/include/glm/detail/func_matrix.inl b/external/include/glm/detail/func_matrix.inl new file mode 100644 index 0000000..6d1746b --- /dev/null +++ b/external/include/glm/detail/func_matrix.inl @@ -0,0 +1,401 @@ +/// @ref core +/// @file glm/detail/func_matrix.inl + +#include "../geometric.hpp" +#include <limits> + +namespace glm{ +namespace detail +{ + template <template <typename, precision> class matType, typename T, precision P, bool Aligned> + struct compute_matrixCompMult + { + GLM_FUNC_QUALIFIER static matType<T, P> call(matType<T, P> const& x, matType<T, P> const& y) + { + matType<T, P> result(uninitialize); + for(length_t i = 0; i < result.length(); ++i) + result[i] = x[i] * y[i]; + return result; + } + }; + + template <template <class, precision> class matType, typename T, precision P, bool Aligned> + struct compute_transpose{}; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat2x2, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat2x2<T, P> call(tmat2x2<T, P> const & m) + { + tmat2x2<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat2x3, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat3x2<T, P> call(tmat2x3<T, P> const & m) + { + tmat3x2<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[2][0] = m[0][2]; + result[2][1] = m[1][2]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat2x4, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat4x2<T, P> call(tmat2x4<T, P> const & m) + { + tmat4x2<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[2][0] = m[0][2]; + result[2][1] = m[1][2]; + result[3][0] = m[0][3]; + result[3][1] = m[1][3]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat3x2, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat2x3<T, P> call(tmat3x2<T, P> const & m) + { + tmat2x3<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[0][2] = m[2][0]; + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[1][2] = m[2][1]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat3x3, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat3x3<T, P> call(tmat3x3<T, P> const & m) + { + tmat3x3<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[0][2] = m[2][0]; + + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[1][2] = m[2][1]; + + result[2][0] = m[0][2]; + result[2][1] = m[1][2]; + result[2][2] = m[2][2]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat3x4, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat4x3<T, P> call(tmat3x4<T, P> const & m) + { + tmat4x3<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[0][2] = m[2][0]; + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[1][2] = m[2][1]; + result[2][0] = m[0][2]; + result[2][1] = m[1][2]; + result[2][2] = m[2][2]; + result[3][0] = m[0][3]; + result[3][1] = m[1][3]; + result[3][2] = m[2][3]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat4x2, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat2x4<T, P> call(tmat4x2<T, P> const & m) + { + tmat2x4<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[0][2] = m[2][0]; + result[0][3] = m[3][0]; + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[1][2] = m[2][1]; + result[1][3] = m[3][1]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat4x3, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat3x4<T, P> call(tmat4x3<T, P> const & m) + { + tmat3x4<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[0][2] = m[2][0]; + result[0][3] = m[3][0]; + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[1][2] = m[2][1]; + result[1][3] = m[3][1]; + result[2][0] = m[0][2]; + result[2][1] = m[1][2]; + result[2][2] = m[2][2]; + result[2][3] = m[3][2]; + return result; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_transpose<tmat4x4, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat4x4<T, P> call(tmat4x4<T, P> const & m) + { + tmat4x4<T, P> result(uninitialize); + result[0][0] = m[0][0]; + result[0][1] = m[1][0]; + result[0][2] = m[2][0]; + result[0][3] = m[3][0]; + + result[1][0] = m[0][1]; + result[1][1] = m[1][1]; + result[1][2] = m[2][1]; + result[1][3] = m[3][1]; + + result[2][0] = m[0][2]; + result[2][1] = m[1][2]; + result[2][2] = m[2][2]; + result[2][3] = m[3][2]; + + result[3][0] = m[0][3]; + result[3][1] = m[1][3]; + result[3][2] = m[2][3]; + result[3][3] = m[3][3]; + return result; + } + }; + + template <template <typename, precision> class matType, typename T, precision P, bool Aligned> + struct compute_determinant{}; + + template <typename T, precision P, bool Aligned> + struct compute_determinant<tmat2x2, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static T call(tmat2x2<T, P> const & m) + { + return m[0][0] * m[1][1] - m[1][0] * m[0][1]; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_determinant<tmat3x3, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static T call(tmat3x3<T, P> const & m) + { + return + + m[0][0] * (m[1][1] * m[2][2] - m[2][1] * m[1][2]) + - m[1][0] * (m[0][1] * m[2][2] - m[2][1] * m[0][2]) + + m[2][0] * (m[0][1] * m[1][2] - m[1][1] * m[0][2]); + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_determinant<tmat4x4, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static T call(tmat4x4<T, P> const & m) + { + T SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; + T SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; + T SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; + T SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; + T SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; + T SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; + + tvec4<T, P> DetCof( + + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02), + - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04), + + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05), + - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05)); + + return + m[0][0] * DetCof[0] + m[0][1] * DetCof[1] + + m[0][2] * DetCof[2] + m[0][3] * DetCof[3]; + } + }; + + template <template <typename, precision> class matType, typename T, precision P, bool Aligned> + struct compute_inverse{}; + + template <typename T, precision P, bool Aligned> + struct compute_inverse<tmat2x2, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat2x2<T, P> call(tmat2x2<T, P> const& m) + { + T OneOverDeterminant = static_cast<T>(1) / ( + + m[0][0] * m[1][1] + - m[1][0] * m[0][1]); + + tmat2x2<T, P> Inverse( + + m[1][1] * OneOverDeterminant, + - m[0][1] * OneOverDeterminant, + - m[1][0] * OneOverDeterminant, + + m[0][0] * OneOverDeterminant); + + return Inverse; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_inverse<tmat3x3, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat3x3<T, P> call(tmat3x3<T, P> const& m) + { + T OneOverDeterminant = static_cast<T>(1) / ( + + m[0][0] * (m[1][1] * m[2][2] - m[2][1] * m[1][2]) + - m[1][0] * (m[0][1] * m[2][2] - m[2][1] * m[0][2]) + + m[2][0] * (m[0][1] * m[1][2] - m[1][1] * m[0][2])); + + tmat3x3<T, P> Inverse(uninitialize); + Inverse[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]) * OneOverDeterminant; + Inverse[1][0] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]) * OneOverDeterminant; + Inverse[2][0] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]) * OneOverDeterminant; + Inverse[0][1] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]) * OneOverDeterminant; + Inverse[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]) * OneOverDeterminant; + Inverse[2][1] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]) * OneOverDeterminant; + Inverse[0][2] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]) * OneOverDeterminant; + Inverse[1][2] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]) * OneOverDeterminant; + Inverse[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]) * OneOverDeterminant; + + return Inverse; + } + }; + + template <typename T, precision P, bool Aligned> + struct compute_inverse<tmat4x4, T, P, Aligned> + { + GLM_FUNC_QUALIFIER static tmat4x4<T, P> call(tmat4x4<T, P> const& m) + { + T Coef00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; + T Coef02 = m[1][2] * m[3][3] - m[3][2] * m[1][3]; + T Coef03 = m[1][2] * m[2][3] - m[2][2] * m[1][3]; + + T Coef04 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; + T Coef06 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; + T Coef07 = m[1][1] * m[2][3] - m[2][1] * m[1][3]; + + T Coef08 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; + T Coef10 = m[1][1] * m[3][2] - m[3][1] * m[1][2]; + T Coef11 = m[1][1] * m[2][2] - m[2][1] * m[1][2]; + + T Coef12 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; + T Coef14 = m[1][0] * m[3][3] - m[3][0] * m[1][3]; + T Coef15 = m[1][0] * m[2][3] - m[2][0] * m[1][3]; + + T Coef16 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; + T Coef18 = m[1][0] * m[3][2] - m[3][0] * m[1][2]; + T Coef19 = m[1][0] * m[2][2] - m[2][0] * m[1][2]; + + T Coef20 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; + T Coef22 = m[1][0] * m[3][1] - m[3][0] * m[1][1]; + T Coef23 = m[1][0] * m[2][1] - m[2][0] * m[1][1]; + + tvec4<T, P> Fac0(Coef00, Coef00, Coef02, Coef03); + tvec4<T, P> Fac1(Coef04, Coef04, Coef06, Coef07); + tvec4<T, P> Fac2(Coef08, Coef08, Coef10, Coef11); + tvec4<T, P> Fac3(Coef12, Coef12, Coef14, Coef15); + tvec4<T, P> Fac4(Coef16, Coef16, Coef18, Coef19); + tvec4<T, P> Fac5(Coef20, Coef20, Coef22, Coef23); + + tvec4<T, P> Vec0(m[1][0], m[0][0], m[0][0], m[0][0]); + tvec4<T, P> Vec1(m[1][1], m[0][1], m[0][1], m[0][1]); + tvec4<T, P> Vec2(m[1][2], m[0][2], m[0][2], m[0][2]); + tvec4<T, P> Vec3(m[1][3], m[0][3], m[0][3], m[0][3]); + + tvec4<T, P> Inv0(Vec1 * Fac0 - Vec2 * Fac1 + Vec3 * Fac2); + tvec4<T, P> Inv1(Vec0 * Fac0 - Vec2 * Fac3 + Vec3 * Fac4); + tvec4<T, P> Inv2(Vec0 * Fac1 - Vec1 * Fac3 + Vec3 * Fac5); + tvec4<T, P> Inv3(Vec0 * Fac2 - Vec1 * Fac4 + Vec2 * Fac5); + + tvec4<T, P> SignA(+1, -1, +1, -1); + tvec4<T, P> SignB(-1, +1, -1, +1); + tmat4x4<T, P> Inverse(Inv0 * SignA, Inv1 * SignB, Inv2 * SignA, Inv3 * SignB); + + tvec4<T, P> Row0(Inverse[0][0], Inverse[1][0], Inverse[2][0], Inverse[3][0]); + + tvec4<T, P> Dot0(m[0] * Row0); + T Dot1 = (Dot0.x + Dot0.y) + (Dot0.z + Dot0.w); + + T OneOverDeterminant = static_cast<T>(1) / Dot1; + + return Inverse * OneOverDeterminant; + } + }; +}//namespace detail + + template <typename T, precision P, template <typename, precision> class matType> + GLM_FUNC_QUALIFIER matType<T, P> matrixCompMult(matType<T, P> const & x, matType<T, P> const & y) + { + GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559 || GLM_UNRESTRICTED_GENTYPE, "'matrixCompMult' only accept floating-point inputs"); + return detail::compute_matrixCompMult<matType, T, P, detail::is_aligned<P>::value>::call(x, y); + } + + template<typename T, precision P, template <typename, precision> class vecTypeA, template <typename, precision> class vecTypeB> + GLM_FUNC_QUALIFIER typename detail::outerProduct_trait<T, P, vecTypeA, vecTypeB>::type outerProduct(vecTypeA<T, P> const & c, vecTypeB<T, P> const & r) + { + GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559 || GLM_UNRESTRICTED_GENTYPE, "'outerProduct' only accept floating-point inputs"); + + typename detail::outerProduct_trait<T, P, vecTypeA, vecTypeB>::type m(uninitialize); + for(length_t i = 0; i < m.length(); ++i) + m[i] = c * r[i]; + return m; + } + + template <typename T, precision P, template <typename, precision> class matType> + GLM_FUNC_QUALIFIER typename matType<T, P>::transpose_type transpose(matType<T, P> const & m) + { + GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559 || GLM_UNRESTRICTED_GENTYPE, "'transpose' only accept floating-point inputs"); + return detail::compute_transpose<matType, T, P, detail::is_aligned<P>::value>::call(m); + } + + template <typename T, precision P, template <typename, precision> class matType> + GLM_FUNC_QUALIFIER T determinant(matType<T, P> const & m) + { + GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559 || GLM_UNRESTRICTED_GENTYPE, "'determinant' only accept floating-point inputs"); + return detail::compute_determinant<matType, T, P, detail::is_aligned<P>::value>::call(m); + } + + template <typename T, precision P, template <typename, precision> class matType> + GLM_FUNC_QUALIFIER matType<T, P> inverse(matType<T, P> const & m) + { + GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559 || GLM_UNRESTRICTED_GENTYPE, "'inverse' only accept floating-point inputs"); + return detail::compute_inverse<matType, T, P, detail::is_aligned<P>::value>::call(m); + } +}//namespace glm + +#if GLM_ARCH != GLM_ARCH_PURE && GLM_HAS_UNRESTRICTED_UNIONS +# include "func_matrix_simd.inl" +#endif + |