paper committed

cpp/glm/gtx/matrix_interpolation.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_interpolation
+/// @file glm/gtx/matrix_interpolation.hpp
+/// @date 2011-03-05 / 2011-03-05
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+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

cpp/glm/gtx/matrix_major_storage.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_major_storage
+/// @file glm/gtx/matrix_major_storage.hpp
+/// @date 2006-04-19 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_matrix_major_storage GLM_GTX_matrix_major_storage
+/// @ingroup gtx
+/// 
+/// @brief Build matrices with specific matrix order, row or column
+/// 
+/// <glm/gtx/matrix_major_storage.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_matrix_major_storage extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_matrix_major_storage
+	/// @{
+
+	//! Build a row major matrix from row vectors.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x2<T, P> rowMajor2(
+		tvec2<T, P> const & v1, 
+		tvec2<T, P> const & v2);
+		
+	//! Build a row major matrix from other matrix.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x2<T, P> rowMajor2(
+		tmat2x2<T, P> const & m);
+
+	//! Build a row major matrix from row vectors.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x3<T, P> rowMajor3(
+		tvec3<T, P> const & v1, 
+		tvec3<T, P> const & v2, 
+		tvec3<T, P> const & v3);
+
+	//! Build a row major matrix from other matrix.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x3<T, P> rowMajor3(
+		tmat3x3<T, P> const & m);
+
+	//! Build a row major matrix from row vectors.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> rowMajor4(
+		tvec4<T, P> const & v1, 
+		tvec4<T, P> const & v2,
+		tvec4<T, P> const & v3, 
+		tvec4<T, P> const & v4);
+
+	//! Build a row major matrix from other matrix.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> rowMajor4(
+		tmat4x4<T, P> const & m);
+
+	//! Build a column major matrix from column vectors.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x2<T, P> colMajor2(
+		tvec2<T, P> const & v1, 
+		tvec2<T, P> const & v2);
+		
+	//! Build a column major matrix from other matrix.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x2<T, P> colMajor2(
+		tmat2x2<T, P> const & m);
+
+	//! Build a column major matrix from column vectors.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x3<T, P> colMajor3(
+		tvec3<T, P> const & v1, 
+		tvec3<T, P> const & v2, 
+		tvec3<T, P> const & v3);
+		
+	//! Build a column major matrix from other matrix.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x3<T, P> colMajor3(
+		tmat3x3<T, P> const & m);
+		
+	//! Build a column major matrix from column vectors.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> colMajor4(
+		tvec4<T, P> const & v1, 
+		tvec4<T, P> const & v2, 
+		tvec4<T, P> const & v3, 
+		tvec4<T, P> const & v4);
+				
+	//! Build a column major matrix from other matrix.
+	//! From GLM_GTX_matrix_major_storage extension.
+	template <typename T, precision P> 
+	GLM_FUNC_DECL tmat4x4<T, P> colMajor4(
+		tmat4x4<T, P> const & m);
+
+	/// @}
+}//namespace glm
+
+#include "matrix_major_storage.inl"

cpp/glm/gtx/matrix_major_storage.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_major_storage
+/// @file glm/gtx/matrix_major_storage.hpp
+/// @date 2006-04-19 / 2014-11-25
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat2x2<T, P> rowMajor2
+	(
+		tvec2<T, P> const & v1, 
+		tvec2<T, P> const & v2
+	)
+	{
+		tmat2x2<T, P> Result;
+		Result[0][0] = v1.x;
+		Result[1][0] = v1.y;
+		Result[0][1] = v2.x;
+		Result[1][1] = v2.y;
+		return Result;
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat2x2<T, P> rowMajor2(
+		const tmat2x2<T, P>& m)
+	{
+		tmat2x2<T, P> Result;
+		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> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> rowMajor3(
+		const tvec3<T, P>& v1, 
+		const tvec3<T, P>& v2, 
+		const tvec3<T, P>& v3)
+	{
+		tmat3x3<T, P> Result;
+		Result[0][0] = v1.x;
+		Result[1][0] = v1.y;
+		Result[2][0] = v1.z;
+		Result[0][1] = v2.x;
+		Result[1][1] = v2.y;
+		Result[2][1] = v2.z;
+		Result[0][2] = v3.x;
+		Result[1][2] = v3.y;
+		Result[2][2] = v3.z;
+		return Result;
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> rowMajor3(
+		const tmat3x3<T, P>& m)
+	{
+		tmat3x3<T, P> Result;
+		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> 
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> rowMajor4(
+		const tvec4<T, P>& v1, 
+		const tvec4<T, P>& v2, 
+		const tvec4<T, P>& v3, 
+		const tvec4<T, P>& v4)
+	{
+		tmat4x4<T, P> Result;
+		Result[0][0] = v1.x;
+		Result[1][0] = v1.y;
+		Result[2][0] = v1.z;
+		Result[3][0] = v1.w;
+		Result[0][1] = v2.x;
+		Result[1][1] = v2.y;
+		Result[2][1] = v2.z;
+		Result[3][1] = v2.w;
+		Result[0][2] = v3.x;
+		Result[1][2] = v3.y;
+		Result[2][2] = v3.z;
+		Result[3][2] = v3.w;
+		Result[0][3] = v4.x;
+		Result[1][3] = v4.y;
+		Result[2][3] = v4.z;
+		Result[3][3] = v4.w;
+		return Result;
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> rowMajor4(
+		const tmat4x4<T, P>& m)
+	{
+		tmat4x4<T, P> Result;
+		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 <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat2x2<T, P> colMajor2(
+		const tvec2<T, P>& v1, 
+		const tvec2<T, P>& v2)
+	{
+		return tmat2x2<T, P>(v1, v2);
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat2x2<T, P> colMajor2(
+		const tmat2x2<T, P>& m)
+	{
+		return tmat2x2<T, P>(m);
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> colMajor3(
+		const tvec3<T, P>& v1, 
+		const tvec3<T, P>& v2, 
+		const tvec3<T, P>& v3)
+	{
+		return tmat3x3<T, P>(v1, v2, v3);
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> colMajor3(
+		const tmat3x3<T, P>& m)
+	{
+		return tmat3x3<T, P>(m);
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> colMajor4(
+		const tvec4<T, P>& v1, 
+		const tvec4<T, P>& v2, 
+		const tvec4<T, P>& v3, 
+		const tvec4<T, P>& v4)
+	{
+		return tmat4x4<T, P>(v1, v2, v3, v4);
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> colMajor4(
+		const tmat4x4<T, P>& m)
+	{
+		return tmat4x4<T, P>(m);
+	}
+}//namespace glm

cpp/glm/gtx/matrix_operation.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_operation
+/// @file glm/gtx/matrix_operation.hpp
+/// @date 2009-08-29 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_operation GLM_GTX_matrix_operation
+/// @ingroup gtx
+/// 
+/// @brief Build diagonal matrices from vectors.
+/// 
+/// <glm/gtx/matrix_operation.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_matrix_operation extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_matrix_operation
+	/// @{
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x2<T, P> diagonal2x2(
+		tvec2<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x3<T, P> diagonal2x3(
+		tvec2<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x4<T, P> diagonal2x4(
+		tvec2<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x2<T, P> diagonal3x2(
+		tvec2<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x3<T, P> diagonal3x3(
+		tvec3<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x4<T, P> diagonal3x4(
+		tvec3<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x2<T, P> diagonal4x2(
+		tvec2<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x3<T, P> diagonal4x3(
+		tvec3<T, P> const & v);
+
+	//! Build a diagonal matrix.
+	//! From GLM_GTX_matrix_operation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> diagonal4x4(
+		tvec4<T, P> const & v);
+
+	/// @}
+}//namespace glm
+
+#include "matrix_operation.inl"

cpp/glm/gtx/matrix_operation.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_operation
+/// @file glm/gtx/matrix_operation.inl
+/// @date 2009-08-29 / 2009-08-29
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat2x2<T, P> diagonal2x2
+	(
+		tvec2<T, P> const & v
+	)
+	{
+		tmat2x2<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat2x3<T, P> diagonal2x3
+	(
+		tvec2<T, P> const & v
+	)
+	{
+		tmat2x3<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat2x4<T, P> diagonal2x4
+	(
+		tvec2<T, P> const & v
+	)
+	{
+		tmat2x4<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat3x2<T, P> diagonal3x2
+	(
+		tvec2<T, P> const & v
+	)
+	{
+		tmat3x2<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> diagonal3x3
+	(
+		tvec3<T, P> const & v
+	)
+	{
+		tmat3x3<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		Result[2][2] = v[2];
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat3x4<T, P> diagonal3x4
+	(
+		tvec3<T, P> const & v
+	)
+	{
+		tmat3x4<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		Result[2][2] = v[2];
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> diagonal4x4
+	(
+		tvec4<T, P> const & v
+	)
+	{
+		tmat4x4<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		Result[2][2] = v[2];
+		Result[3][3] = v[3];
+		return Result;		
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x3<T, P> diagonal4x3
+	(
+		tvec3<T, P> const & v
+	)
+	{
+		tmat4x3<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		Result[2][2] = v[2];
+		return Result;		
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x2<T, P> diagonal4x2
+	(
+		tvec2<T, P> const & v
+	)
+	{
+		tmat4x2<T, P> Result(static_cast<T>(1));
+		Result[0][0] = v[0];
+		Result[1][1] = v[1];
+		return Result;		
+	}
+}//namespace glm

cpp/glm/gtx/matrix_query.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_query
+/// @file glm/gtx/matrix_query.hpp
+/// @date 2007-03-05 / 2011-08-28
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_vector_query (dependence)
+///
+/// @defgroup gtx_matrix_query GLM_GTX_matrix_query
+/// @ingroup gtx
+/// 
+/// @brief Query to evaluate matrix properties
+/// 
+/// <glm/gtx/matrix_query.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/vector_query.hpp"
+#include <limits>
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_matrix_query extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_matrix_query
+	/// @{
+
+	/// Return whether a matrix a null matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P>
+	GLM_FUNC_DECL bool isNull(tmat2x2<T, P> const & m, T const & epsilon);
+		
+	/// Return whether a matrix a null matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P>
+	GLM_FUNC_DECL bool isNull(tmat3x3<T, P> const & m, T const & epsilon);
+		
+	/// Return whether a matrix is a null matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P>
+	GLM_FUNC_DECL bool isNull(tmat4x4<T, P> const & m, T const & epsilon);
+			
+	/// Return whether a matrix is an identity matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P, template <typename, precision> class matType>
+	GLM_FUNC_DECL bool isIdentity(matType<T, P> const & m, T const & epsilon);
+
+	/// Return whether a matrix is a normalized matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P>
+	GLM_FUNC_DECL bool isNormalized(tmat2x2<T, P> const & m, T const & epsilon);
+
+	/// Return whether a matrix is a normalized matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P>
+	GLM_FUNC_DECL bool isNormalized(tmat3x3<T, P> const & m, T const & epsilon);
+
+	/// Return whether a matrix is a normalized matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P>
+	GLM_FUNC_DECL bool isNormalized(tmat4x4<T, P> const & m, T const & epsilon);
+
+	/// Return whether a matrix is an orthonormalized matrix.
+	/// From GLM_GTX_matrix_query extension.
+	template<typename T, precision P, template <typename, precision> class matType>
+	GLM_FUNC_DECL bool isOrthogonal(matType<T, P> const & m, T const & epsilon);
+
+	/// @}
+}//namespace glm
+
+#include "matrix_query.inl"

cpp/glm/gtx/matrix_query.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_query
+/// @file glm/gtx/matrix_query.inl
+/// @date 2007-03-05 / 2007-03-05
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template<typename T, precision P>
+	GLM_FUNC_QUALIFIER bool isNull(tmat2x2<T, P> const & m, T const & epsilon)
+	{
+		bool result = true;
+		for(detail::component_count_t i = 0; result && i < 2 ; ++i)
+			result = isNull(m[i], epsilon);
+		return result;
+	}
+
+	template<typename T, precision P>
+	GLM_FUNC_QUALIFIER bool isNull(tmat3x3<T, P> const & m, T const & epsilon)
+	{
+		bool result = true;
+		for(detail::component_count_t i = 0; result && i < 3 ; ++i)
+			result = isNull(m[i], epsilon);
+		return result;
+	}
+
+	template<typename T, precision P>
+	GLM_FUNC_QUALIFIER bool isNull(tmat4x4<T, P> const & m, T const & epsilon)
+	{
+		bool result = true;
+		for(detail::component_count_t i = 0; result && i < 4 ; ++i)
+			result = isNull(m[i], epsilon);
+		return result;
+	}
+
+	template<typename T, precision P, template <typename, precision> class matType>
+	GLM_FUNC_QUALIFIER bool isIdentity(matType<T, P> const & m, T const & epsilon)
+	{
+		bool result = true;
+		for(detail::component_count_t i(0); result && i < detail::component_count(m[0]); ++i)
+		{
+			for(detail::component_count_t j(0); result && j < i ; ++j)
+				result = abs(m[i][j]) <= epsilon;
+			if(result)
+				result = abs(m[i][i] - 1) <= epsilon;
+			for(detail::component_count_t j(i + 1); result && j < detail::component_count(m); ++j)
+				result = abs(m[i][j]) <= epsilon;
+		}
+		return result;
+	}
+
+	template<typename T, precision P>
+	GLM_FUNC_QUALIFIER bool isNormalized(tmat2x2<T, P> const & m, T const & epsilon)
+	{
+		bool result(true);
+		for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
+			result = isNormalized(m[i], epsilon);
+		for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
+		{
+			typename tmat2x2<T, P>::col_type v;
+			for(detail::component_count_t j(0); j < detail::component_count(m); ++j)
+				v[j] = m[j][i];
+			result = isNormalized(v, epsilon);
+		}
+		return result;
+	}
+
+	template<typename T, precision P>
+	GLM_FUNC_QUALIFIER bool isNormalized(tmat3x3<T, P> const & m, T const & epsilon)
+	{
+		bool result(true);
+		for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
+			result = isNormalized(m[i], epsilon);
+		for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
+		{
+			typename tmat3x3<T, P>::col_type v;
+			for(detail::component_count_t j(0); j < detail::component_count(m); ++j)
+				v[j] = m[j][i];
+			result = isNormalized(v, epsilon);
+		}
+		return result;
+	}
+
+	template<typename T, precision P>
+	GLM_FUNC_QUALIFIER bool isNormalized(tmat4x4<T, P> const & m, T const & epsilon)
+	{
+		bool result(true);
+		for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
+			result = isNormalized(m[i], epsilon);
+		for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
+		{
+			typename tmat4x4<T, P>::col_type v;
+			for(detail::component_count_t j(0); j < detail::component_count(m); ++j)
+				v[j] = m[j][i];
+			result = isNormalized(v, epsilon);
+		}
+		return result;
+	}
+
+	template<typename T, precision P, template <typename, precision> class matType>
+	GLM_FUNC_QUALIFIER bool isOrthogonal(matType<T, P> const & m, T const & epsilon)
+	{
+		bool result(true);
+		for(detail::component_count_t i(0); result && i < detail::component_count(m) - 1; ++i)
+		for(detail::component_count_t j(i + 1); result && j < detail::component_count(m); ++j)
+			result = areOrthogonal(m[i], m[j], epsilon);
+
+		if(result)
+		{
+			matType<T, P> tmp = transpose(m);
+			for(detail::component_count_t i(0); result && i < detail::component_count(m) - 1 ; ++i)
+			for(detail::component_count_t j(i + 1); result && j < detail::component_count(m); ++j)
+				result = areOrthogonal(tmp[i], tmp[j], epsilon);
+		}
+		return result;
+	}
+}//namespace glm

cpp/glm/gtx/matrix_transform_2d.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_transform_2d
+/// @file glm/gtx/matrix_transform_2d.hpp
+/// @date 2014-02-20
+/// @author Miguel Ángel Pérez Martínez
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_transform_2d GLM_GTX_matrix_transform_2d
+/// @ingroup gtx
+/// 
+/// @brief Defines functions that generate common 2d transformation matrices.
+/// 
+/// <glm/gtx/matrix_transform_2d.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../mat3x3.hpp"
+#include "../vec2.hpp"
+
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_matrix_transform_2d extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_matrix_transform_2d
+	/// @{
+	
+	/// Builds a translation 3 * 3 matrix created from a vector of 2 components.
+	///
+	/// @param m Input matrix multiplied by this translation matrix.
+	/// @param v Coordinates of a translation vector.		
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> translate(
+		tmat3x3<T, P> const & m,
+		tvec2<T, P> const & v);
+
+	/// Builds a rotation 3 * 3 matrix created from an angle. 
+	///
+	/// @param m Input matrix multiplied by this translation matrix.
+	/// @param angle Rotation angle expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> rotate(
+		tmat3x3<T, P> const & m,
+		T angle);
+
+	/// Builds a scale 3 * 3 matrix created from a vector of 2 components.
+	///
+	/// @param m Input matrix multiplied by this translation matrix.
+	/// @param v Coordinates of a scale vector.		
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> scale(
+		tmat3x3<T, P> const & m,
+		tvec2<T, P> const & v);
+
+	/// Builds an horizontal (parallel to the x axis) shear 3 * 3 matrix. 
+	///
+	/// @param m Input matrix multiplied by this translation matrix.
+	/// @param y Shear factor.
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> shearX(
+		tmat3x3<T, P> const & m,
+		T y);
+
+	/// Builds a vertical (parallel to the y axis) shear 3 * 3 matrix. 
+	///
+	/// @param m Input matrix multiplied by this translation matrix.
+	/// @param x Shear factor.
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> shearY(
+		tmat3x3<T, P> const & m,
+		T x);
+
+	/// @}
+}//namespace glm
+
+#include "matrix_transform_2d.inl"

cpp/glm/gtx/matrix_transform_2d.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_matrix_transform_2d
+/// @file glm/gtc/matrix_transform_2d.inl
+/// @date 2014-02-20
+/// @author Miguel Ángel Pérez Martínez
+///////////////////////////////////////////////////////////////////////////////////
+
+#include "../trigonometric.hpp"
+
+namespace glm
+{
+	
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> translate(
+		tmat3x3<T, P> const & m,
+		tvec2<T, P> const & v)
+	{
+		tmat3x3<T, P> Result(m);
+		Result[2] = m[0] * v[0] + m[1] * v[1] + m[2];
+		return Result;
+	}
+
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> rotate(
+		tmat3x3<T, P> const & m,
+		T angle)
+	{
+		T const a = angle;
+		T const c = cos(a);
+		T const s = sin(a);
+
+		tmat3x3<T, P> Result(uninitialize);
+		Result[0] = m[0] * c + m[1] * s;
+		Result[1] = m[0] * -s + m[1] * c;
+		Result[2] = m[2];
+		return Result;
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> scale(
+		tmat3x3<T, P> const & m,
+		tvec2<T, P> const & v)
+	{
+		tmat3x3<T, P> Result(uninitialize);
+		Result[0] = m[0] * v[0];
+		Result[1] = m[1] * v[1];
+		Result[2] = m[2];
+		return Result;
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> shearX(
+		tmat3x3<T, P> const & m,
+		T y)
+	{
+		tmat3x3<T, P> Result(1);
+		Result[0][1] = y;
+		return m * Result;
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> shearY(
+		tmat3x3<T, P> const & m,
+		T x)
+	{
+		tmat3x3<T, P> Result(1);
+		Result[1][0] = x;
+		return m * Result;
+	}
+
+}//namespace glm

cpp/glm/gtx/mixed_product.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_mixed_product
+/// @file glm/gtx/mixed_product.hpp
+/// @date 2007-04-03 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_mixed_product GLM_GTX_mixed_producte
+/// @ingroup gtx
+/// 
+/// @brief Mixed product of 3 vectors.
+/// 
+/// <glm/gtx/mixed_product.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_mixed_product extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_mixed_product
+	/// @{
+
+	/// @brief Mixed product of 3 vectors (from GLM_GTX_mixed_product extension)
+	template <typename T, precision P> 
+	GLM_FUNC_DECL T mixedProduct(
+		tvec3<T, P> const & v1, 
+		tvec3<T, P> const & v2, 
+		tvec3<T, P> const & v3);
+
+	/// @}
+}// namespace glm
+
+#include "mixed_product.inl"

cpp/glm/gtx/mixed_product.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_mixed_product
+/// @file glm/gtx/mixed_product.inl
+/// @date 2007-04-03 / 2008-09-17
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T mixedProduct
+	(
+		tvec3<T, P> const & v1,
+		tvec3<T, P> const & v2,
+		tvec3<T, P> const & v3
+	)
+	{
+		return dot(cross(v1, v2), v3);
+	}
+}//namespace glm

cpp/glm/gtx/multiple.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_multiple
+/// @file glm/gtx/multiple.hpp
+/// @date 2009-10-26 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_multiple GLM_GTX_multiple
+/// @ingroup gtx
+/// 
+/// @brief Find the closest number of a number multiple of other number.
+/// 
+/// <glm/gtx/multiple.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../gtc/round.hpp"
+
+#pragma message("GLM: GLM_GTX_multiple extension is deprecated, use GLM_GTC_round instead.")
+
+namespace glm
+{
+	/// @addtogroup gtx_multiple
+	/// @{
+
+	/// Higher multiple number of Source.
+	///
+	/// @tparam genType Floating-point or integer scalar or vector types.
+	/// @param Source 
+	/// @param Multiple Must be a null or positive value
+	///
+	/// @see gtx_multiple
+	template <typename genType>
+	GLM_DEPRECATED GLM_FUNC_DECL genType higherMultiple(
+		genType Source,
+		genType Multiple);
+
+	/// Higher multiple number of Source.
+	///
+	/// @tparam genType Floating-point or integer scalar or vector types.
+	/// @param Source 
+	/// @param Multiple Must be a null or positive value
+	///
+	/// @see gtx_multiple
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_DEPRECATED GLM_FUNC_DECL vecType<T, P> higherMultiple(
+		vecType<T, P> const & Source,
+		vecType<T, P> const & Multiple);
+
+	/// Lower multiple number of Source.
+	///
+	/// @tparam genType Floating-point or integer scalar or vector types.
+	/// @param Source 
+	/// @param Multiple Must be a null or positive value
+	///
+	/// @see gtx_multiple
+	template <typename genType>
+	GLM_DEPRECATED GLM_FUNC_DECL genType lowerMultiple(
+		genType Source,
+		genType Multiple);
+
+	/// Lower multiple number of Source.
+	///
+	/// @tparam genType Floating-point or integer scalar or vector types.
+	/// @param Source 
+	/// @param Multiple Must be a null or positive value
+	///
+	/// @see gtx_multiple
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_DEPRECATED GLM_FUNC_DECL vecType<T, P> lowerMultiple(
+		vecType<T, P> const & Source,
+		vecType<T, P> const & Multiple);
+
+	/// @}
+}//namespace glm
+
+#include "multiple.inl"

cpp/glm/gtx/multiple.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_multiple
+/// @file glm/gtx/multiple.inl
+/// @date 2009-10-26 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	//////////////////////
+	// higherMultiple
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType higherMultiple(genType Source, genType Multiple)
+	{
+		return detail::compute_ceilMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> higherMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
+	{
+		return detail::functor2<T, P, vecType>::call(higherMultiple, Source, Multiple);
+	}
+
+	//////////////////////
+	// lowerMultiple
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType lowerMultiple(genType Source, genType Multiple)
+	{
+		return detail::compute_floorMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> lowerMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
+	{
+		return detail::functor2<T, P, vecType>::call(lowerMultiple, Source, Multiple);
+	}
+}//namespace glm

cpp/glm/gtx/norm.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_norm
+/// @file glm/gtx/norm.hpp
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_quaternion (dependence)
+///
+/// @defgroup gtx_norm GLM_GTX_norm
+/// @ingroup gtx
+/// 
+/// @brief Various ways to compute vector norms.
+/// 
+/// <glm/gtx/norm.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/quaternion.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_norm extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_norm
+	/// @{
+
+	//! Returns the squared length of x.
+	//! From GLM_GTX_norm extension.
+	template <typename T>
+	GLM_FUNC_DECL T length2(
+		T const & x);
+
+	//! Returns the squared length of x.
+	//! From GLM_GTX_norm extension.
+	template <typename genType>
+	GLM_FUNC_DECL typename genType::value_type length2(
+		genType const & x);
+		
+	//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
+	//! From GLM_GTX_norm extension.
+	template <typename T>
+	GLM_FUNC_DECL T distance2(
+		T const & p0,
+		T const & p1);
+		
+	//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
+	//! From GLM_GTX_norm extension.
+	template <typename genType>
+	GLM_FUNC_DECL typename genType::value_type distance2(
+		genType const & p0,
+		genType const & p1);
+
+	//! Returns the L1 norm between x and y.
+	//! From GLM_GTX_norm extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL T l1Norm(
+		tvec3<T, P> const & x,
+		tvec3<T, P> const & y);
+		
+	//! Returns the L1 norm of v.
+	//! From GLM_GTX_norm extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL T l1Norm(
+		tvec3<T, P> const & v);
+		
+	//! Returns the L2 norm between x and y.
+	//! From GLM_GTX_norm extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL T l2Norm(
+		tvec3<T, P> const & x,
+		tvec3<T, P> const & y);
+		
+	//! Returns the L2 norm of v.
+	//! From GLM_GTX_norm extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL T l2Norm(
+		tvec3<T, P> const & x);
+		
+	//! Returns the L norm between x and y.
+	//! From GLM_GTX_norm extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL T lxNorm(
+		tvec3<T, P> const & x,
+		tvec3<T, P> const & y,
+		unsigned int Depth);
+
+	//! Returns the L norm of v.
+	//! From GLM_GTX_norm extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL T lxNorm(
+		tvec3<T, P> const & x,
+		unsigned int Depth);
+
+	/// @}
+}//namespace glm
+
+#include "norm.inl"

cpp/glm/gtx/norm.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_norm
+/// @file glm/gtx/norm.inl
+/// @date 2005-12-21 / 2008-07-24
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T>
+	GLM_FUNC_QUALIFIER T length2
+	(
+		T const & x
+	)
+	{
+		return x * x;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T length2
+	(
+		tvec2<T, P> const & x
+	)
+	{
+		return dot(x, x);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T length2
+	(
+		tvec3<T, P> const & x
+	)
+	{
+		return dot(x, x);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T length2
+	(
+		tvec4<T, P> const & x
+	)
+	{
+		return dot(x, x);
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER T distance2
+	(
+		T const & p0,
+		T const & p1
+	)
+	{
+		return length2(p1 - p0);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T distance2
+	(
+		tvec2<T, P> const & p0,
+		tvec2<T, P> const & p1
+	)
+	{
+		return length2(p1 - p0);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T distance2
+	(
+		tvec3<T, P> const & p0,
+		tvec3<T, P> const & p1
+	)
+	{
+		return length2(p1 - p0);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T distance2
+	(
+		tvec4<T, P> const & p0,
+		tvec4<T, P> const & p1
+	)
+	{
+		return length2(p1 - p0);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T l1Norm
+	(
+		tvec3<T, P> const & a,
+		tvec3<T, P> const & b
+	)
+	{
+		return abs(b.x - a.x) + abs(b.y - a.y) + abs(b.z - a.z);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T l1Norm
+	(
+		tvec3<T, P> const & v
+	)
+	{
+		return abs(v.x) + abs(v.y) + abs(v.z);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T l2Norm
+	(
+		tvec3<T, P> const & a,
+		tvec3<T, P> const & b
+	)
+	{
+		return length(b - a);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T l2Norm
+	(
+		tvec3<T, P> const & v
+	)
+	{
+		return length(v);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T lxNorm
+	(
+		tvec3<T, P> const & x,
+		tvec3<T, P> const & y,
+		unsigned int Depth
+	)
+	{
+		return pow(pow(y.x - x.x, T(Depth)) + pow(y.y - x.y, T(Depth)) + pow(y.z - x.z, T(Depth)), T(1) / T(Depth));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T lxNorm
+	(
+		tvec3<T, P> const & v,
+		unsigned int Depth
+	)
+	{
+		return pow(pow(v.x, T(Depth)) + pow(v.y, T(Depth)) + pow(v.z, T(Depth)), T(1) / T(Depth));
+	}
+
+}//namespace glm

cpp/glm/gtx/normal.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_normal
+/// @file glm/gtx/normal.hpp
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_normal GLM_GTX_normal
+/// @ingroup gtx
+/// 
+/// @brief Compute the normal of a triangle.
+/// 
+/// <glm/gtx/normal.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_normal extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_normal
+	/// @{
+
+	//! Computes triangle normal from triangle points. 
+	//! From GLM_GTX_normal extension.
+	template <typename T, precision P> 
+	GLM_FUNC_DECL tvec3<T, P> triangleNormal(
+		tvec3<T, P> const & p1, 
+		tvec3<T, P> const & p2, 
+		tvec3<T, P> const & p3);
+
+	/// @}
+}//namespace glm
+
+#include "normal.inl"

cpp/glm/gtx/normal.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_normal
+/// @file glm/gtx/normal.inl
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER tvec3<T, P> triangleNormal
+	(
+		tvec3<T, P> const & p1, 
+		tvec3<T, P> const & p2, 
+		tvec3<T, P> const & p3
+	)
+	{
+		return normalize(cross(p1 - p2, p1 - p3));
+	}
+}//namespace glm

cpp/glm/gtx/normalize_dot.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_normalize_dot
+/// @file glm/gtx/normalize_dot.hpp
+/// @date 2007-09-28 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_fast_square_root (dependence)
+///
+/// @defgroup gtx_normalize_dot GLM_GTX_normalize_dot
+/// @ingroup gtx
+/// 
+/// @brief Dot product of vectors that need to be normalize with a single square root.
+/// 
+/// <glm/gtx/normalized_dot.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../gtx/fast_square_root.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_normalize_dot extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_normalize_dot
+	/// @{
+
+	/// Normalize parameters and returns the dot product of x and y.
+	/// It's faster that dot(normalize(x), normalize(y)).
+	///
+	/// @see gtx_normalize_dot extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL T normalizeDot(vecType<T, P> const & x, vecType<T, P> const & y);
+
+	/// Normalize parameters and returns the dot product of x and y.
+	/// Faster that dot(fastNormalize(x), fastNormalize(y)).
+	///
+	/// @see gtx_normalize_dot extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL T fastNormalizeDot(vecType<T, P> const & x, vecType<T, P> const & y);
+
+	/// @}
+}//namespace glm
+
+#include "normalize_dot.inl"

cpp/glm/gtx/normalize_dot.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_normalize_dot
+/// @file glm/gtx/normalize_dot.inl
+/// @date 2007-09-28 / 2008-10-07
+/// @author Christophe Riccio
+//////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T normalizeDot(vecType<T, P> const & x, vecType<T, P> const & y)
+	{
+		return glm::dot(x, y) * glm::inversesqrt(glm::dot(x, x) * glm::dot(y, y));
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T fastNormalizeDot(vecType<T, P> const & x, vecType<T, P> const & y)
+	{
+		return glm::dot(x, y) * glm::fastInverseSqrt(glm::dot(x, x) * glm::dot(y, y));
+	}
+}//namespace glm

cpp/glm/gtx/number_precision.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// Restrictions:
+///		By making use of the Software for military purposes, you choose to make
+///		a Bunny unhappy.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtx_number_precision
+/// @file glm/gtx/number_precision.hpp
+/// @date 2007-05-10 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtc_type_precision (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_number_precision GLM_GTX_number_precision
+/// @ingroup gtx
+/// 
+/// @brief Defined size types.
+/// 
+/// <glm/gtx/number_precision.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/type_precision.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_number_precision extension included")
+#endif
+
+namespace glm{
+namespace gtx
+{
+	/////////////////////////////
+	// Unsigned int vector types 
+
+	/// @addtogroup gtx_number_precision
+	/// @{
+
+	typedef u8			u8vec1;		//!< \brief 8bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+	typedef u16			u16vec1;    //!< \brief 16bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+	typedef u32			u32vec1;    //!< \brief 32bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+	typedef u64			u64vec1;    //!< \brief 64bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+
+	//////////////////////
+	// Float vector types 
+
+	typedef f32			f32vec1;    //!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+	typedef f64			f64vec1;    //!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+
+	//////////////////////
+	// Float matrix types 
+
+	typedef f32			f32mat1;	//!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+	typedef f32			f32mat1x1;	//!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+	typedef f64			f64mat1;	//!< \brief Double-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+	typedef f64			f64mat1x1;	//!< \brief Double-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+
+	/// @}
+}//namespace gtx
+}//namespace glm
+
+#include "number_precision.inl"