add engine version

1 files changed, 146 insertions, 0 deletions

diff --git a/engine-ocean/External/glm-master/glm/gtx/matrix_interpolation.inl b/engine-ocean/External/glm-master/glm/gtx/matrix_interpolation.inl
new file mode 100644
index 0000000..f4ba3a6
--- /dev/null
+++ b/engine-ocean/External/glm-master/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