From e62817b8252974b8a98393275874ee303840bf13 Mon Sep 17 00:00:00 2001
From: LaG1924 <12997935+LaG1924@users.noreply.github.com>
Date: Fri, 12 May 2017 18:49:50 +0500
Subject: 2017-05-12

---
 .../include/glm/gtx/matrix_interpolation.inl       | 134 +++++++++++++++++++++
 1 file changed, 134 insertions(+)
 create mode 100644 depedencies/include/glm/gtx/matrix_interpolation.inl

(limited to 'depedencies/include/glm/gtx/matrix_interpolation.inl')

diff --git a/depedencies/include/glm/gtx/matrix_interpolation.inl b/depedencies/include/glm/gtx/matrix_interpolation.inl
new file mode 100644
index 0000000..8645f96
--- /dev/null
+++ b/depedencies/include/glm/gtx/matrix_interpolation.inl
@@ -0,0 +1,134 @@
+/// @ref gtx_matrix_interpolation
+/// @file glm/gtx/matrix_interpolation.hpp
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER void axisAngle
+	(
+		tmat4x4<T, P> const & mat,
+		tvec3<T, P> & axis,
+		T & angle
+	)
+	{
+		T epsilon = (T)0.01;
+		T epsilon2 = (T)0.1;
+
+		if((abs(mat[1][0] - mat[0][1]) < epsilon) && (abs(mat[2][0] - mat[0][2]) < epsilon) && (abs(mat[2][1] - mat[1][2]) < epsilon))
+		{
+			if ((abs(mat[1][0] + mat[0][1]) < epsilon2) && (abs(mat[2][0] + mat[0][2]) < epsilon2) && (abs(mat[2][1] + mat[1][2]) < epsilon2) && (abs(mat[0][0] + mat[1][1] + mat[2][2] - (T)3.0) < epsilon2))
+			{
+				angle = (T)0.0;
+				axis.x = (T)1.0;
+				axis.y = (T)0.0;
+				axis.z = (T)0.0;
+				return;
+			}
+			angle = static_cast<T>(3.1415926535897932384626433832795);
+			T xx = (mat[0][0] + (T)1.0) / (T)2.0;
+			T yy = (mat[1][1] + (T)1.0) / (T)2.0;
+			T zz = (mat[2][2] + (T)1.0) / (T)2.0;
+			T xy = (mat[1][0] + mat[0][1]) / (T)4.0;
+			T xz = (mat[2][0] + mat[0][2]) / (T)4.0;
+			T yz = (mat[2][1] + mat[1][2]) / (T)4.0;
+			if((xx > yy) && (xx > zz))
+			{
+				if (xx < epsilon) {
+					axis.x = (T)0.0;
+					axis.y = (T)0.7071;
+					axis.z = (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 = (T)0.7071;
+					axis.y = (T)0.0;
+					axis.z = (T)0.7071;
+				} else {
+					axis.y = sqrt(yy);
+					axis.x = xy / axis.y;
+					axis.z = yz / axis.y;
+				}
+			}
+			else
+			{
+				if (zz < epsilon) {
+					axis.x = (T)0.7071;
+					axis.y = (T)0.7071;
+					axis.z = (T)0.0;
+				} else {
+					axis.z = sqrt(zz);
+					axis.x = xz / axis.z;
+					axis.y = yz / axis.z;
+				}
+			}
+			return;
+		}
+		T s = sqrt((mat[2][1] - mat[1][2]) * (mat[2][1] - mat[1][2]) + (mat[2][0] - mat[0][2]) * (mat[2][0] - mat[0][2]) + (mat[1][0] - mat[0][1]) * (mat[1][0] - mat[0][1]));
+		if (glm::abs(s) < T(0.001))
+			s = (T)1.0;
+		angle = acos((mat[0][0] + mat[1][1] + mat[2][2] - (T)1.0) / (T)2.0);
+		axis.x = (mat[1][2] - mat[2][1]) / s;
+		axis.y = (mat[2][0] - mat[0][2]) / s;
+		axis.z = (mat[0][1] - mat[1][0]) / s;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> axisAngleMatrix
+	(
+		tvec3<T, P> const & axis,
+		T const angle
+	)
+	{
+		T c = cos(angle);
+		T s = sin(angle);
+		T t = static_cast<T>(1) - c;
+		tvec3<T, P> n = normalize(axis);
+
+		return tmat4x4<T, P>(
+			t * n.x * n.x + c,          t * n.x * n.y + n.z * s,    t * n.x * n.z - n.y * s,    T(0),
+			t * n.x * n.y - n.z * s,    t * n.y * n.y + c,          t * n.y * n.z + n.x * s,    T(0),
+			t * n.x * n.z + n.y * s,    t * n.y * n.z - n.x * s,    t * n.z * n.z + c,          T(0),
+			T(0),                        T(0),                        T(0),                     T(1)
+		);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> extractMatrixRotation
+	(
+		tmat4x4<T, P> const & mat
+	)
+	{
+		return tmat4x4<T, P>(
+			mat[0][0], mat[0][1], mat[0][2], 0.0,
+			mat[1][0], mat[1][1], mat[1][2], 0.0,
+			mat[2][0], mat[2][1], mat[2][2], 0.0,
+			0.0,       0.0,       0.0,       1.0
+		);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> interpolate
+	(
+		tmat4x4<T, P> const & m1,
+		tmat4x4<T, P> const & m2,
+		T const delta
+	)
+	{
+		tmat4x4<T, P> m1rot = extractMatrixRotation(m1);
+		tmat4x4<T, P> dltRotation = m2 * transpose(m1rot);
+		tvec3<T, P> dltAxis;
+		T dltAngle;
+		axisAngle(dltRotation, dltAxis, dltAngle);
+		tmat4x4<T, P> 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
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