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-rw-r--r--glm-master/glm/gtx/matrix_interpolation.inl146
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diff --git a/glm-master/glm/gtx/matrix_interpolation.inl b/glm-master/glm/gtx/matrix_interpolation.inl
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--- a/glm-master/glm/gtx/matrix_interpolation.inl
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-/// @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