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author | sotech117 <michael_foiani@brown.edu> | 2023-12-07 16:23:20 -0500 |
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committer | sotech117 <michael_foiani@brown.edu> | 2023-12-07 16:23:20 -0500 |
commit | caa765bff49d54217b75aaf0e7acf4e5392a11e4 (patch) | |
tree | 9b92914dfb88b99599e8e60e4512e9e9ea9a25db /glm/gtx/matrix_interpolation.inl | |
parent | a9274459443f1d560d7580a162deb581549980cb (diff) |
upload base code
Diffstat (limited to 'glm/gtx/matrix_interpolation.inl')
-rw-r--r-- | glm/gtx/matrix_interpolation.inl | 146 |
1 files changed, 146 insertions, 0 deletions
diff --git a/glm/gtx/matrix_interpolation.inl b/glm/gtx/matrix_interpolation.inl new file mode 100644 index 0000000..f4ba3a6 --- /dev/null +++ b/glm/gtx/matrix_interpolation.inl @@ -0,0 +1,146 @@ +/// @ref gtx_matrix_interpolation + +#include "../ext/scalar_constants.hpp" + +#include <limits> + +namespace glm +{ + template<typename T, qualifier Q> + GLM_FUNC_QUALIFIER void axisAngle(mat<4, 4, T, Q> const& m, vec<3, T, Q>& axis, T& angle) + { + T const epsilon = + std::numeric_limits<T>::epsilon() * static_cast<T>(1e2); + + bool const nearSymmetrical = + abs(m[1][0] - m[0][1]) < epsilon && + abs(m[2][0] - m[0][2]) < epsilon && + abs(m[2][1] - m[1][2]) < epsilon; + + if(nearSymmetrical) + { + bool const nearIdentity = + abs(m[1][0] + m[0][1]) < epsilon && + abs(m[2][0] + m[0][2]) < epsilon && + abs(m[2][1] + m[1][2]) < epsilon && + abs(m[0][0] + m[1][1] + m[2][2] - T(3.0)) < epsilon; + if (nearIdentity) + { + angle = static_cast<T>(0.0); + axis = vec<3, T, Q>( + static_cast<T>(1.0), static_cast<T>(0.0), static_cast<T>(0.0)); + return; + } + angle = pi<T>(); + T xx = (m[0][0] + static_cast<T>(1.0)) * static_cast<T>(0.5); + T yy = (m[1][1] + static_cast<T>(1.0)) * static_cast<T>(0.5); + T zz = (m[2][2] + static_cast<T>(1.0)) * static_cast<T>(0.5); + T xy = (m[1][0] + m[0][1]) * static_cast<T>(0.25); + T xz = (m[2][0] + m[0][2]) * static_cast<T>(0.25); + T yz = (m[2][1] + m[1][2]) * static_cast<T>(0.25); + if((xx > yy) && (xx > zz)) + { + if(xx < epsilon) + { + axis.x = static_cast<T>(0.0); + axis.y = static_cast<T>(0.7071); + axis.z = static_cast<T>(0.7071); + } + else + { + axis.x = sqrt(xx); + axis.y = xy / axis.x; + axis.z = xz / axis.x; + } + } + else if (yy > zz) + { + if(yy < epsilon) + { + axis.x = static_cast<T>(0.7071); + axis.y = static_cast<T>(0.0); + axis.z = static_cast<T>(0.7071); + } + else + { + axis.y = sqrt(yy); + axis.x = xy / axis.y; + axis.z = yz / axis.y; + } + } + else + { + if (zz < epsilon) + { + axis.x = static_cast<T>(0.7071); + axis.y = static_cast<T>(0.7071); + axis.z = static_cast<T>(0.0); + } + else + { + axis.z = sqrt(zz); + axis.x = xz / axis.z; + axis.y = yz / axis.z; + } + } + return; + } + + T const angleCos = (m[0][0] + m[1][1] + m[2][2] - static_cast<T>(1)) * static_cast<T>(0.5); + if(angleCos >= static_cast<T>(1.0)) + { + angle = static_cast<T>(0.0); + } + else if (angleCos <= static_cast<T>(-1.0)) + { + angle = pi<T>(); + } + else + { + angle = acos(angleCos); + } + + axis = glm::normalize(glm::vec<3, T, Q>( + m[1][2] - m[2][1], m[2][0] - m[0][2], m[0][1] - m[1][0])); + } + + template<typename T, qualifier Q> + GLM_FUNC_QUALIFIER mat<4, 4, T, Q> axisAngleMatrix(vec<3, T, Q> const& axis, T const angle) + { + T c = cos(angle); + T s = sin(angle); + T t = static_cast<T>(1) - c; + vec<3, T, Q> n = normalize(axis); + + return mat<4, 4, T, Q>( + t * n.x * n.x + c, t * n.x * n.y + n.z * s, t * n.x * n.z - n.y * s, static_cast<T>(0.0), + t * n.x * n.y - n.z * s, t * n.y * n.y + c, t * n.y * n.z + n.x * s, static_cast<T>(0.0), + t * n.x * n.z + n.y * s, t * n.y * n.z - n.x * s, t * n.z * n.z + c, static_cast<T>(0.0), + static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(1.0)); + } + + template<typename T, qualifier Q> + GLM_FUNC_QUALIFIER mat<4, 4, T, Q> extractMatrixRotation(mat<4, 4, T, Q> const& m) + { + return mat<4, 4, T, Q>( + m[0][0], m[0][1], m[0][2], static_cast<T>(0.0), + m[1][0], m[1][1], m[1][2], static_cast<T>(0.0), + m[2][0], m[2][1], m[2][2], static_cast<T>(0.0), + static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(1.0)); + } + + template<typename T, qualifier Q> + GLM_FUNC_QUALIFIER mat<4, 4, T, Q> interpolate(mat<4, 4, T, Q> const& m1, mat<4, 4, T, Q> const& m2, T const delta) + { + mat<4, 4, T, Q> m1rot = extractMatrixRotation(m1); + mat<4, 4, T, Q> dltRotation = m2 * transpose(m1rot); + vec<3, T, Q> dltAxis; + T dltAngle; + axisAngle(dltRotation, dltAxis, dltAngle); + mat<4, 4, T, Q> out = axisAngleMatrix(dltAxis, dltAngle * delta) * m1rot; + out[3][0] = m1[3][0] + delta * (m2[3][0] - m1[3][0]); + out[3][1] = m1[3][1] + delta * (m2[3][1] - m1[3][1]); + out[3][2] = m1[3][2] + delta * (m2[3][2] - m1[3][2]); + return out; + } +}//namespace glm |