paper committed

cpp/glm/gtx/fast_square_root.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_fast_square_root
+/// @file glm/gtx/fast_square_root.inl
+/// @date 2006-01-04 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	// fastSqrt
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastSqrt(genType x)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastSqrt' only accept floating-point input");
+
+		return genType(1) / fastInverseSqrt(x);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastSqrt(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastSqrt, x);
+	}
+
+	// fastInversesqrt
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastInverseSqrt(genType x)
+	{
+#		ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
+			tvec1<T, P> tmp(detail::compute_inversesqrt<tvec1, genType, lowp>::call(tvec1<genType, lowp>(x)));
+			return tmp.x;
+#		else
+			return detail::compute_inversesqrt<tvec1, genType, lowp>::call(tvec1<genType, lowp>(x)).x;
+#		endif
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastInverseSqrt(vecType<T, P> const & x)
+	{
+		return detail::compute_inversesqrt<vecType, T, P>::call(x);
+	}
+
+	// fastLength
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastLength(genType x)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+		return abs(x);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T fastLength(vecType<T, P> const & x)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+		return fastSqrt(dot(x, x));
+	}
+
+	// fastDistance
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastDistance(genType x, genType y)
+	{
+		return fastLength(y - x);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T fastDistance(vecType<T, P> const & x, vecType<T, P> const & y)
+	{
+		return fastLength(y - x);
+	}
+
+	// fastNormalize
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastNormalize(genType x)
+	{
+		return x > genType(0) ? genType(1) : -genType(1);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastNormalize(vecType<T, P> const & x)
+	{
+		return x * fastInverseSqrt(dot(x, x));
+	}
+}//namespace glm

cpp/glm/gtx/fast_trigonometry.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_fast_trigonometry
+/// @file glm/gtx/fast_trigonometry.hpp
+/// @date 2006-01-08 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_fast_trigonometry GLM_GTX_fast_trigonometry
+/// @ingroup gtx
+/// 
+/// @brief Fast but less accurate implementations of trigonometric functions.
+/// 
+/// <glm/gtx/fast_trigonometry.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../gtc/constants.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_fast_trigonometry extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_fast_trigonometry
+	/// @{
+
+	/// Wrap an angle to [0 2pi[
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T> 
+	GLM_FUNC_DECL T wrapAngle(T angle);
+
+	/// Faster than the common sin function but less accurate.
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T>
+	GLM_FUNC_DECL T fastSin(T angle);
+
+	/// Faster than the common cos function but less accurate.
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T> 
+	GLM_FUNC_DECL T fastCos(T angle);
+
+	/// Faster than the common tan function but less accurate. 
+	/// Defined between -2pi and 2pi. 
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T> 
+	GLM_FUNC_DECL T fastTan(T angle);
+
+	/// Faster than the common asin function but less accurate. 
+	/// Defined between -2pi and 2pi.
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T> 
+	GLM_FUNC_DECL T fastAsin(T angle);
+
+	/// Faster than the common acos function but less accurate. 
+	/// Defined between -2pi and 2pi. 
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T> 
+	GLM_FUNC_DECL T fastAcos(T angle);
+
+	/// Faster than the common atan function but less accurate.
+	/// Defined between -2pi and 2pi. 
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T> 
+	GLM_FUNC_DECL T fastAtan(T y, T x);
+
+	/// Faster than the common atan function but less accurate. 
+	/// Defined between -2pi and 2pi.
+	/// From GLM_GTX_fast_trigonometry extension.
+	template <typename T> 
+	GLM_FUNC_DECL T fastAtan(T angle);
+
+	/// @}
+}//namespace glm
+
+#include "fast_trigonometry.inl"

cpp/glm/gtx/fast_trigonometry.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_fast_trigonometry
+/// @file glm/gtx/fast_trigonometry.inl
+/// @date 2006-01-08 / 2014-11-25
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm{
+namespace detail
+{
+	template <typename T>
+	GLM_FUNC_QUALIFIER T cos_52s(T x)
+	{
+		T const xx(x * x);
+		return (T(0.9999932946) + xx * (T(-0.4999124376) + xx * (T(0.0414877472) + xx * T(-0.0012712095))));
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> cos_52s(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(cos_52s, x);
+	}
+}//namespace detail
+
+	// wrapAngle
+	template <typename T>
+	GLM_FUNC_QUALIFIER T wrapAngle(T angle)
+	{
+		return abs<T>(mod<T>(angle, two_pi<T>()));
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> wrapAngle(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(wrapAngle, x);
+	}
+
+	// cos
+	template <typename T> 
+	GLM_FUNC_QUALIFIER T fastCos(T x)
+	{
+		T const angle(wrapAngle<T>(x));
+
+		if(angle<half_pi<T>())
+			return detail::cos_52s(angle);
+		if(angle<pi<T>())
+			return -detail::cos_52s(pi<T>() - angle);
+		if(angle<(T(3) * half_pi<T>()))
+			return -detail::cos_52s(angle - pi<T>());
+
+		return detail::cos_52s(two_pi<T>() - angle);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastCos(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastCos, x);
+	}
+
+	// sin
+	template <typename T> 
+	GLM_FUNC_QUALIFIER T fastSin(T x)
+	{
+		return fastCos<T>(half_pi<T>() - x);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastSin(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastSin, x);
+	}
+
+	// tan
+	template <typename T> 
+	GLM_FUNC_QUALIFIER T fastTan(T x)
+	{
+		return x + (x * x * x * T(0.3333333333)) + (x * x * x * x * x * T(0.1333333333333)) + (x * x * x * x * x * x * x * T(0.0539682539));
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastTan(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastTan, x);
+	}
+
+	// asin
+	template <typename T> 
+	GLM_FUNC_QUALIFIER T fastAsin(T x)
+	{
+		return x + (x * x * x * T(0.166666667)) + (x * x * x * x * x * T(0.075)) + (x * x * x * x * x * x * x * T(0.0446428571)) + (x * x * x * x * x * x * x * x * x * T(0.0303819444));// + (x * x * x * x * x * x * x * x * x * x * x * T(0.022372159));
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastAsin(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastAsin, x);
+	}
+
+	// acos
+	template <typename T> 
+	GLM_FUNC_QUALIFIER T fastAcos(T x)
+	{
+		return T(1.5707963267948966192313216916398) - fastAsin(x); //(PI / 2)
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastAcos(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastAcos, x);
+	}
+
+	// atan
+	template <typename T> 
+	GLM_FUNC_QUALIFIER T fastAtan(T y, T x)
+	{
+		T sgn = sign(y) * sign(x);
+		return abs(fastAtan(y / x)) * sgn;
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastAtan(vecType<T, P> const & y, vecType<T, P> const & x)
+	{
+		return detail::functor2<T, P, vecType>::call(fastAtan, y, x);
+	}
+
+	template <typename T> 
+	GLM_FUNC_QUALIFIER T fastAtan(T x)
+	{
+		return x - (x * x * x * T(0.333333333333)) + (x * x * x * x * x * T(0.2)) - (x * x * x * x * x * x * x * T(0.1428571429)) + (x * x * x * x * x * x * x * x * x * T(0.111111111111)) - (x * x * x * x * x * x * x * x * x * x * x * T(0.0909090909));
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastAtan(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastAtan, x);
+	}
+}//namespace glm

cpp/glm/gtx/gradient_paint.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_gradient_paint
+/// @file glm/gtx/gradient_paint.hpp
+/// @date 2009-03-06 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_optimum_pow (dependence)
+///
+/// @defgroup gtx_gradient_paint GLM_GTX_gradient_paint
+/// @ingroup gtx
+/// 
+/// @brief Functions that return the color of procedural gradient for specific coordinates.
+/// <glm/gtx/gradient_paint.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/optimum_pow.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_gradient_paint extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_gradient_paint
+	/// @{
+
+	/// Return a color from a radial gradient.
+	/// @see - gtx_gradient_paint
+	template <typename T, precision P>
+	GLM_FUNC_DECL T radialGradient(
+		tvec2<T, P> const & Center,
+		T const & Radius,
+		tvec2<T, P> const & Focal,
+		tvec2<T, P> const & Position);
+
+	/// Return a color from a linear gradient.
+	/// @see - gtx_gradient_paint
+	template <typename T, precision P>
+	GLM_FUNC_DECL T linearGradient(
+		tvec2<T, P> const & Point0,
+		tvec2<T, P> const & Point1,
+		tvec2<T, P> const & Position);
+
+	/// @}
+}// namespace glm
+
+#include "gradient_paint.inl"

cpp/glm/gtx/gradient_paint.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_gradient_paint
+/// @file glm/gtx/gradient_paint.inl
+/// @date 2009-03-06 / 2013-04-09
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T radialGradient
+	(
+		tvec2<T, P> const & Center,
+		T const & Radius,
+		tvec2<T, P> const & Focal,
+		tvec2<T, P> const & Position
+	)
+	{
+		tvec2<T, P> F = Focal - Center;
+		tvec2<T, P> D = Position - Focal;
+		T Radius2 = pow2(Radius);
+		T Fx2 = pow2(F.x);
+		T Fy2 = pow2(F.y);
+
+		T Numerator = (D.x * F.x + D.y * F.y) + sqrt(Radius2 * (pow2(D.x) + pow2(D.y)) - pow2(D.x * F.y - D.y * F.x));
+		T Denominator = Radius2 - (Fx2 + Fy2);
+		return Numerator / Denominator;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER T linearGradient
+	(
+		tvec2<T, P> const & Point0,
+		tvec2<T, P> const & Point1,
+		tvec2<T, P> const & Position
+	)
+	{
+		tvec2<T, P> Dist = Point1 - Point0;
+		return (Dist.x * (Position.x - Point0.x) + Dist.y * (Position.y - Point0.y)) / glm::dot(Dist, Dist);
+	}
+}//namespace glm

cpp/glm/gtx/handed_coordinate_space.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_handed_coordinate_space
+/// @file glm/gtx/handed_coordinate_space.hpp
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_handed_coordinate_space GLM_GTX_handed_coordinate_space
+/// @ingroup gtx
+/// 
+/// @brief To know if a set of three basis vectors defines a right or left-handed coordinate system.
+/// 
+/// <glm/gtx/handed_coordinate_system.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_handed_coordinate_space extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_handed_coordinate_space
+	/// @{
+
+	//! Return if a trihedron right handed or not.
+	//! From GLM_GTX_handed_coordinate_space extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL bool rightHanded(
+		tvec3<T, P> const & tangent,
+		tvec3<T, P> const & binormal,
+		tvec3<T, P> const & normal);
+
+	//! Return if a trihedron left handed or not.
+	//! From GLM_GTX_handed_coordinate_space extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL bool leftHanded(
+		tvec3<T, P> const & tangent,
+		tvec3<T, P> const & binormal,
+		tvec3<T, P> const & normal);
+
+	/// @}
+}// namespace glm
+
+#include "handed_coordinate_space.inl"

cpp/glm/gtx/handed_coordinate_space.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_handed_coordinate_space
+/// @file glm/gtx/handed_coordinate_space.inl
+/// @date 2005-12-21 / 2009-02-19
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER bool rightHanded
+	(
+		tvec3<T, P> const & tangent,
+		tvec3<T, P> const & binormal,
+		tvec3<T, P> const & normal
+	)
+	{
+		return dot(cross(normal, tangent), binormal) > T(0);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER bool leftHanded
+	(
+		tvec3<T, P> const & tangent,
+		tvec3<T, P> const & binormal,
+		tvec3<T, P> const & normal
+	)
+	{
+		return dot(cross(normal, tangent), binormal) < T(0);
+	}
+}//namespace glm

cpp/glm/gtx/integer.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_integer
+/// @file glm/gtx/integer.hpp
+/// @date 2005-12-24 / 2011-10-13
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_integer GLM_GTX_integer
+/// @ingroup gtx
+/// 
+/// @brief Add support for integer for core functions
+/// 
+/// <glm/gtx/integer.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/integer.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_integer extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_integer
+	/// @{
+
+	//! Returns x raised to the y power. 
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL int pow(int x, int y);
+
+	//! Returns the positive square root of x.
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL int sqrt(int x);
+
+	//! Returns the floor log2 of x.
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL unsigned int floor_log2(unsigned int x);
+
+	//! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL int mod(int x, int y);
+
+	//! Return the factorial value of a number (!12 max, integer only)
+	//! From GLM_GTX_integer extension.
+	template <typename genType> 
+	GLM_FUNC_DECL genType factorial(genType const & x);
+
+	//! 32bit signed integer. 
+	//! From GLM_GTX_integer extension.
+	typedef signed int					sint;
+
+	//! Returns x raised to the y power.
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL uint pow(uint x, uint y);
+
+	//! Returns the positive square root of x. 
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL uint sqrt(uint x);
+
+	//! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL uint mod(uint x, uint y);
+
+	//! Returns the number of leading zeros.
+	//! From GLM_GTX_integer extension.
+	GLM_FUNC_DECL uint nlz(uint x);
+
+	/// @}
+}//namespace glm
+
+#include "integer.inl"

cpp/glm/gtx/integer.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_integer
+/// @file glm/gtx/integer.inl
+/// @date 2005-12-24 / 2011-10-13
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	// pow
+	GLM_FUNC_QUALIFIER int pow(int x, int y)
+	{
+		if(y == 0)
+			return 1;
+		int result = x;
+		for(int i = 1; i < y; ++i)
+			result *= x;
+		return result;
+	}
+
+	// sqrt: From Christopher J. Musial, An integer square root, Graphics Gems, 1990, page 387
+	GLM_FUNC_QUALIFIER int sqrt(int x)
+	{
+		if(x <= 1) return x;
+
+		int NextTrial = x >> 1;
+		int CurrentAnswer;
+
+		do
+		{
+			CurrentAnswer = NextTrial;
+			NextTrial = (NextTrial + x / NextTrial) >> 1;
+		} while(NextTrial < CurrentAnswer);
+
+		return CurrentAnswer;
+	}
+
+// Henry Gordon Dietz: http://aggregate.org/MAGIC/
+namespace detail
+{
+	GLM_FUNC_QUALIFIER unsigned int ones32(unsigned int x)
+	{
+		/* 32-bit recursive reduction using SWAR...
+		but first step is mapping 2-bit values
+		into sum of 2 1-bit values in sneaky way
+		*/
+		x -= ((x >> 1) & 0x55555555);
+		x = (((x >> 2) & 0x33333333) + (x & 0x33333333));
+		x = (((x >> 4) + x) & 0x0f0f0f0f);
+		x += (x >> 8);
+		x += (x >> 16);
+		return(x & 0x0000003f);
+	}
+}//namespace detail
+
+	// Henry Gordon Dietz: http://aggregate.org/MAGIC/
+/*
+	GLM_FUNC_QUALIFIER unsigned int floor_log2(unsigned int x)
+	{
+		x |= (x >> 1);
+		x |= (x >> 2);
+		x |= (x >> 4);
+		x |= (x >> 8);
+		x |= (x >> 16);
+
+		return _detail::ones32(x) >> 1;
+	}
+*/
+	// mod
+	GLM_FUNC_QUALIFIER int mod(int x, int y)
+	{
+		return x - y * (x / y);
+	}
+
+	// factorial (!12 max, integer only)
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType factorial(genType const & x)
+	{
+		genType Temp = x;
+		genType Result;
+		for(Result = 1; Temp > 1; --Temp)
+			Result *= Temp;
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec2<T, P> factorial(
+		tvec2<T, P> const & x)
+	{
+		return tvec2<T, P>(
+			factorial(x.x),
+			factorial(x.y));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> factorial(
+		tvec3<T, P> const & x)
+	{
+		return tvec3<T, P>(
+			factorial(x.x),
+			factorial(x.y),
+			factorial(x.z));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec4<T, P> factorial(
+		tvec4<T, P> const & x)
+	{
+		return tvec4<T, P>(
+			factorial(x.x),
+			factorial(x.y),
+			factorial(x.z),
+			factorial(x.w));
+	}
+
+	GLM_FUNC_QUALIFIER uint pow(uint x, uint y)
+	{
+		uint result = x;
+		for(uint i = 1; i < y; ++i)
+			result *= x;
+		return result;
+	}
+
+	GLM_FUNC_QUALIFIER uint sqrt(uint x)
+	{
+		if(x <= 1) return x;
+
+		uint NextTrial = x >> 1;
+		uint CurrentAnswer;
+
+		do
+		{
+			CurrentAnswer = NextTrial;
+			NextTrial = (NextTrial + x / NextTrial) >> 1;
+		} while(NextTrial < CurrentAnswer);
+
+		return CurrentAnswer;
+	}
+
+	GLM_FUNC_QUALIFIER uint mod(uint x, uint y)
+	{
+		return x - y * (x / y);
+	}
+
+#if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_GCC))
+
+	GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x) 
+	{
+		return 31u - findMSB(x);
+	}
+
+#else
+
+	// Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt
+	GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x) 
+	{
+		int y, m, n;
+
+		y = -int(x >> 16);      // If left half of x is 0,
+		m = (y >> 16) & 16;  // set n = 16.  If left half
+		n = 16 - m;          // is nonzero, set n = 0 and
+		x = x >> m;          // shift x right 16.
+							// Now x is of the form 0000xxxx.
+		y = x - 0x100;       // If positions 8-15 are 0,
+		m = (y >> 16) & 8;   // add 8 to n and shift x left 8.
+		n = n + m;
+		x = x << m;
+
+		y = x - 0x1000;      // If positions 12-15 are 0,
+		m = (y >> 16) & 4;   // add 4 to n and shift x left 4.
+		n = n + m;
+		x = x << m;
+
+		y = x - 0x4000;      // If positions 14-15 are 0,
+		m = (y >> 16) & 2;   // add 2 to n and shift x left 2.
+		n = n + m;
+		x = x << m;
+
+		y = x >> 14;         // Set y = 0, 1, 2, or 3.
+		m = y & ~(y >> 1);   // Set m = 0, 1, 2, or 2 resp.
+		return unsigned(n + 2 - m);
+	}
+
+#endif//(GLM_COMPILER)
+
+}//namespace glm

cpp/glm/gtx/intersect.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_intersect
+/// @file glm/gtx/intersect.hpp
+/// @date 2007-04-03 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_closest_point (dependence)
+///
+/// @defgroup gtx_intersect GLM_GTX_intersect
+/// @ingroup gtx
+/// 
+/// @brief Add intersection functions
+/// 
+/// <glm/gtx/intersect.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/closest_point.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_closest_point extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_intersect
+	/// @{
+
+	//! Compute the intersection of a ray and a triangle.
+	//! Ray direction and plane normal must be unit length.
+	//! From GLM_GTX_intersect extension.
+	template <typename genType>
+	GLM_FUNC_DECL bool intersectRayPlane(
+		genType const & orig, genType const & dir,
+		genType const & planeOrig, genType const & planeNormal,
+		typename genType::value_type & intersectionDistance);
+
+	//! Compute the intersection of a ray and a triangle.
+	//! From GLM_GTX_intersect extension.
+	template <typename genType>
+	GLM_FUNC_DECL bool intersectRayTriangle(
+		genType const & orig, genType const & dir,
+		genType const & vert0, genType const & vert1, genType const & vert2,
+		genType & baryPosition);
+
+	//! Compute the intersection of a line and a triangle.
+	//! From GLM_GTX_intersect extension.
+	template <typename genType>
+	GLM_FUNC_DECL bool intersectLineTriangle(
+		genType const & orig, genType const & dir,
+		genType const & vert0, genType const & vert1, genType const & vert2,
+		genType & position);
+
+	//! Compute the intersection distance of a ray and a sphere. 
+	//! The ray direction vector is unit length.
+	//! From GLM_GTX_intersect extension.
+	template <typename genType>
+	GLM_FUNC_DECL bool intersectRaySphere(
+		genType const & rayStarting, genType const & rayNormalizedDirection,
+		genType const & sphereCenter, typename genType::value_type const sphereRadiusSquered,
+		typename genType::value_type & intersectionDistance);
+
+	//! Compute the intersection of a ray and a sphere.
+	//! From GLM_GTX_intersect extension.
+	template <typename genType>
+	GLM_FUNC_DECL bool intersectRaySphere(
+		genType const & rayStarting, genType const & rayNormalizedDirection,
+		genType const & sphereCenter, const typename genType::value_type sphereRadius,
+		genType & intersectionPosition, genType & intersectionNormal);
+
+	//! Compute the intersection of a line and a sphere.
+	//! From GLM_GTX_intersect extension
+	template <typename genType>
+	GLM_FUNC_DECL bool intersectLineSphere(
+		genType const & point0, genType const & point1,
+		genType const & sphereCenter, typename genType::value_type sphereRadius,
+		genType & intersectionPosition1, genType & intersectionNormal1, 
+		genType & intersectionPosition2 = genType(), genType & intersectionNormal2 = genType());
+
+	/// @}
+}//namespace glm
+
+#include "intersect.inl"

cpp/glm/gtx/intersect.inl

+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2007-04-03
+// Updated : 2009-01-20
+// Licence : This source is under MIT licence
+// File    : glm/gtx/intersect.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+#include "../geometric.hpp"
+#include <cfloat>
+#include <limits>
+
+namespace glm
+{
+	template <typename genType>
+	GLM_FUNC_QUALIFIER bool intersectRayPlane
+	(
+		genType const & orig, genType const & dir,
+		genType const & planeOrig, genType const & planeNormal,
+		typename genType::value_type & intersectionDistance
+	)
+	{
+		typename genType::value_type d = glm::dot(dir, planeNormal);
+		typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+		if(d < Epsilon)
+		{
+			intersectionDistance = glm::dot(planeOrig - orig, planeNormal) / d;
+			return true;
+		}
+
+		return false;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER bool intersectRayTriangle
+	(
+		genType const & orig, genType const & dir,
+		genType const & v0, genType const & v1, genType const & v2,
+		genType & baryPosition
+	)
+	{
+		genType e1 = v1 - v0;
+		genType e2 = v2 - v0;
+
+		genType p = glm::cross(dir, e2);
+
+		typename genType::value_type a = glm::dot(e1, p);
+
+		typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+		if(a < Epsilon)
+			return false;
+
+		typename genType::value_type f = typename genType::value_type(1.0f) / a;
+
+		genType s = orig - v0;
+		baryPosition.x = f * glm::dot(s, p);
+		if(baryPosition.x < typename genType::value_type(0.0f))
+			return false;
+		if(baryPosition.x > typename genType::value_type(1.0f))
+			return false;
+
+		genType q = glm::cross(s, e1);
+		baryPosition.y = f * glm::dot(dir, q);
+		if(baryPosition.y < typename genType::value_type(0.0f))
+			return false;
+		if(baryPosition.y + baryPosition.x > typename genType::value_type(1.0f))
+			return false;
+
+		baryPosition.z = f * glm::dot(e2, q);
+
+		return baryPosition.z >= typename genType::value_type(0.0f);
+	}
+
+	//template <typename genType>
+	//GLM_FUNC_QUALIFIER bool intersectRayTriangle
+	//(
+	//	genType const & orig, genType const & dir,
+	//	genType const & vert0, genType const & vert1, genType const & vert2,
+	//	genType & position
+	//)
+	//{
+	//	typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+	//
+	//	genType edge1 = vert1 - vert0;
+	//	genType edge2 = vert2 - vert0;
+	//
+	//	genType pvec = cross(dir, edge2);
+	//
+	//	float det = dot(edge1, pvec);
+	//	if(det < Epsilon)
+	//		return false;
+	//
+	//	genType tvec = orig - vert0;
+	//
+	//	position.y = dot(tvec, pvec);
+	//	if (position.y < typename genType::value_type(0) || position.y > det)
+	//		return typename genType::value_type(0);
+	//
+	//	genType qvec = cross(tvec, edge1);
+	//
+	//	position.z = dot(dir, qvec);
+	//	if (position.z < typename genType::value_type(0) || position.y + position.z > det)
+	//		return typename genType::value_type(0);
+	//
+	//	position.x = dot(edge2, qvec);
+	//	position *= typename genType::value_type(1) / det;
+	//
+	//	return typename genType::value_type(1);
+	//}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER bool intersectLineTriangle
+	(
+		genType const & orig, genType const & dir,
+		genType const & vert0, genType const & vert1, genType const & vert2,
+		genType & position
+	)
+	{
+		typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+		genType edge1 = vert1 - vert0;
+		genType edge2 = vert2 - vert0;
+
+		genType pvec = cross(dir, edge2);
+
+		float det = dot(edge1, pvec);
+
+		if (det > -Epsilon && det < Epsilon)
+			return false;
+		float inv_det = typename genType::value_type(1) / det;
+
+		genType tvec = orig - vert0;
+
+		position.y = dot(tvec, pvec) * inv_det;
+		if (position.y < typename genType::value_type(0) || position.y > typename genType::value_type(1))
+			return false;
+
+		genType qvec = cross(tvec, edge1);
+
+		position.z = dot(dir, qvec) * inv_det;
+		if (position.z < typename genType::value_type(0) || position.y + position.z > typename genType::value_type(1))
+			return false;
+
+		position.x = dot(edge2, qvec) * inv_det;
+
+		return true;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER bool intersectRaySphere
+	(
+		genType const & rayStarting, genType const & rayNormalizedDirection,
+		genType const & sphereCenter, const typename genType::value_type sphereRadiusSquered,
+		typename genType::value_type & intersectionDistance
+	)
+	{
+		typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+		genType diff = sphereCenter - rayStarting;
+		typename genType::value_type t0 = dot(diff, rayNormalizedDirection);
+		typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+		if( dSquared > sphereRadiusSquered )
+		{
+			return false;
+		}
+		typename genType::value_type t1 = sqrt( sphereRadiusSquered - dSquared );
+		intersectionDistance = t0 > t1 + Epsilon ? t0 - t1 : t0 + t1;
+		return intersectionDistance > Epsilon;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER bool intersectRaySphere
+	(
+		genType const & rayStarting, genType const & rayNormalizedDirection,
+		genType const & sphereCenter, const typename genType::value_type sphereRadius,
+		genType & intersectionPosition, genType & intersectionNormal
+	)
+	{
+		typename genType::value_type distance;
+		if( intersectRaySphere( rayStarting, rayNormalizedDirection, sphereCenter, sphereRadius * sphereRadius, distance ) )
+		{
+			intersectionPosition = rayStarting + rayNormalizedDirection * distance;
+			intersectionNormal = (intersectionPosition - sphereCenter) / sphereRadius;
+			return true;
+		}
+		return false;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER bool intersectLineSphere
+	(
+		genType const & point0, genType const & point1,
+		genType const & sphereCenter, typename genType::value_type sphereRadius,
+		genType & intersectionPoint1, genType & intersectionNormal1, 
+		genType & intersectionPoint2, genType & intersectionNormal2
+	)
+	{
+		typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+		genType dir = normalize(point1 - point0);
+		genType diff = sphereCenter - point0;
+		typename genType::value_type t0 = dot(diff, dir);
+		typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+		if( dSquared > sphereRadius * sphereRadius )
+		{
+			return false;
+		}
+		typename genType::value_type t1 = sqrt( sphereRadius * sphereRadius - dSquared );
+		if( t0 < t1 + Epsilon )
+			t1 = -t1;
+		intersectionPoint1 = point0 + dir * (t0 - t1);
+		intersectionNormal1 = (intersectionPoint1 - sphereCenter) / sphereRadius;
+		intersectionPoint2 = point0 + dir * (t0 + t1);
+		intersectionNormal2 = (intersectionPoint2 - sphereCenter) / sphereRadius;
+		return true;
+	}
+}//namespace glm

cpp/glm/gtx/io.hpp

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2013 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_io
+/// @file glm/gtx/io.hpp
+/// @date 2013-11-22 / 2014-11-25
+/// @author Jan P Springer (regnirpsj@gmail.com)
+///
+/// @see core (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_io GLM_GTX_io
+/// @ingroup gtx
+/// 
+/// @brief std::[w]ostream support for glm types
+///
+///        std::[w]ostream support for glm types + precision/width/etc. manipulators
+///        based on howard hinnant's std::chrono io proposal
+///        [http://home.roadrunner.com/~hinnant/bloomington/chrono_io.html]
+///
+/// <glm/gtx/io.hpp> needs to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/quaternion.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(glm_ext))
+# pragma message("GLM: GLM_GTX_io extension included")
+#endif
+
+#include <iosfwd>  // std::basic_ostream<> (fwd)
+#include <locale>  // std::locale, std::locale::facet, std::locale::id
+#include <utility> // std::pair<>
+
+namespace glm
+{
+	/// @addtogroup gtx_io
+	/// @{
+
+	namespace io
+	{
+		enum order_type { column_major, row_major};
+
+		template <typename CTy>
+		class format_punct : public std::locale::facet
+		{
+			typedef CTy char_type;
+
+		public:
+
+			static std::locale::id id;
+
+			bool       formatted;
+			unsigned   precision;
+			unsigned   width;
+			char_type  separator;
+			char_type  delim_left;
+			char_type  delim_right;
+			char_type  space;
+			char_type  newline;
+			order_type order;
+
+			explicit format_punct(size_t a = 0);
+			explicit format_punct(format_punct const&);
+		};
+
+		template <typename CTy, typename CTr = std::char_traits<CTy> >
+		class basic_state_saver {
+
+		public:
+
+			explicit basic_state_saver(std::basic_ios<CTy,CTr>&);
+					~basic_state_saver();
+
+		private:
+
+			typedef ::std::basic_ios<CTy,CTr>      state_type;
+			typedef typename state_type::char_type char_type;
+			typedef ::std::ios_base::fmtflags      flags_type;
+			typedef ::std::streamsize              streamsize_type;
+			typedef ::std::locale const            locale_type;
+
+			state_type&     state_;
+			flags_type      flags_;
+			streamsize_type precision_;
+			streamsize_type width_;
+			char_type       fill_;
+			locale_type     locale_;
+
+			basic_state_saver& operator=(basic_state_saver const&);
+		};
+
+		typedef basic_state_saver<char>     state_saver;
+		typedef basic_state_saver<wchar_t> wstate_saver;
+
+		template <typename CTy, typename CTr = std::char_traits<CTy> >
+		class basic_format_saver
+		{
+		public:
+
+			explicit basic_format_saver(std::basic_ios<CTy,CTr>&);
+					~basic_format_saver();
+
+		private:
+
+			basic_state_saver<CTy> const bss_;
+
+			basic_format_saver& operator=(basic_format_saver const&);
+		};
+
+		typedef basic_format_saver<char>     format_saver;
+		typedef basic_format_saver<wchar_t> wformat_saver;
+
+		struct precision
+		{
+			unsigned value;
+
+			explicit precision(unsigned);
+		};
+
+		struct width
+		{
+			unsigned value;
+
+			explicit width(unsigned);
+		};
+
+		template <typename CTy>
+		struct delimeter
+		{
+			CTy value[3];
+
+			explicit delimeter(CTy /* left */, CTy /* right */, CTy /* separator */ = ',');
+		};
+
+		struct order
+		{
+			order_type value;
+
+			explicit order(order_type);
+		};
+
+		// functions, inlined (inline)
+
+		template <typename FTy, typename CTy, typename CTr>
+		FTy const& get_facet(std::basic_ios<CTy,CTr>&);
+		template <typename FTy, typename CTy, typename CTr>
+		std::basic_ios<CTy,CTr>& formatted(std::basic_ios<CTy,CTr>&);
+		template <typename FTy, typename CTy, typename CTr>
+		std::basic_ios<CTy,CTr>& unformattet(std::basic_ios<CTy,CTr>&);
+
+		template <typename CTy, typename CTr>
+		std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, precision const&);
+		template <typename CTy, typename CTr>
+		std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, width const&);
+		template <typename CTy, typename CTr>
+		std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, delimeter<CTy> const&);
+		template <typename CTy, typename CTr>
+		std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, order const&);
+	}//namespace io
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tquat<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tvec2<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tvec3<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tvec4<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat2x2<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat2x3<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat2x4<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat3x2<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat3x3<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat3x4<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat4x2<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat4x3<T,P> const&);
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat4x4<T,P> const&);
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_DECL std::basic_ostream<CTy,CTr> & operator<<(
+		std::basic_ostream<CTy,CTr> &,
+		std::pair<tmat4x4<T,P> const,
+		tmat4x4<T,P> const> const &);
+
+	/// @}
+}//namespace glm
+
+#include "io.inl"

cpp/glm/gtx/io.inl

+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2013 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_io
+/// @file glm/gtx/io.inl
+/// @date 2013-11-22 / 2014-11-25
+/// @author Jan P Springer (regnirpsj@gmail.com)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+#include <iomanip> // std::setfill<>, std::fixed, std::setprecision, std::right, std::setw
+#include <ostream> // std::basic_ostream<>
+
+namespace glm{
+namespace io
+{
+	template <typename CTy>
+	/* explicit */ GLM_FUNC_QUALIFIER
+	format_punct<CTy>::format_punct(size_t a)
+		: std::locale::facet(a),
+		formatted         (true),
+		precision         (3),
+		width             (1 + 4 + 1 + precision),
+		separator         (','),
+		delim_left        ('['),
+		delim_right       (']'),
+		space             (' '),
+		newline           ('\n'),
+		order             (row_major)
+	{}
+
+	template <typename CTy>
+	/* explicit */ GLM_FUNC_QUALIFIER
+	format_punct<CTy>::format_punct(format_punct const& a)
+		: std::locale::facet(0),
+		formatted         (a.formatted),
+		precision         (a.precision),
+		width             (a.width),
+		separator         (a.separator),
+		delim_left        (a.delim_left),
+		delim_right       (a.delim_right),
+		space             (a.space),
+		newline           (a.newline),
+		order             (a.order)
+	{}
+
+	template <typename CTy> std::locale::id format_punct<CTy>::id;
+
+	template <typename CTy, typename CTr>
+	/* explicit */ GLM_FUNC_QUALIFIER basic_state_saver<CTy,CTr>::basic_state_saver(std::basic_ios<CTy,CTr>& a)
+		: state_    (a),
+		flags_    (a.flags()),
+		precision_(a.precision()),
+		width_    (a.width()),
+		fill_     (a.fill()),
+		locale_   (a.getloc())
+	{}
+
+	template <typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER basic_state_saver<CTy,CTr>::~basic_state_saver()
+	{
+		state_.imbue(locale_);
+		state_.fill(fill_);
+		state_.width(width_);
+		state_.precision(precision_);
+		state_.flags(flags_);
+	}
+
+	template <typename CTy, typename CTr>
+	/* explicit */ GLM_FUNC_QUALIFIER basic_format_saver<CTy,CTr>::basic_format_saver(std::basic_ios<CTy,CTr>& a)
+		: bss_(a)
+	{
+		a.imbue(std::locale(a.getloc(), new format_punct<CTy>(get_facet<format_punct<CTy> >(a))));
+	}
+
+	template <typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER
+	basic_format_saver<CTy,CTr>::~basic_format_saver()
+	{}
+
+	/* explicit */ GLM_FUNC_QUALIFIER precision::precision(unsigned a)
+		: value(a)
+	{}
+
+	/* explicit */ GLM_FUNC_QUALIFIER width::width(unsigned a)
+		: value(a)
+	{}
+
+	template <typename CTy>
+	/* explicit */ GLM_FUNC_QUALIFIER delimeter<CTy>::delimeter(CTy a, CTy b, CTy c)
+		: value()
+	{
+		value[0] = a;
+		value[1] = b;
+		value[2] = c;
+	}
+
+	/* explicit */ GLM_FUNC_QUALIFIER
+	order::order(order_type a)
+		: value(a)
+	{}
+
+	template <typename FTy, typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER FTy const& get_facet(std::basic_ios<CTy,CTr>& ios)
+	{
+		if (!std::has_facet<FTy>(ios.getloc())) {
+		ios.imbue(std::locale(ios.getloc(), new FTy));
+		}
+
+		return std::use_facet<FTy>(ios.getloc());
+	}
+
+	template <typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER std::basic_ios<CTy,CTr>& formatted(std::basic_ios<CTy,CTr>& ios)
+	{
+		const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(ios)).formatted = true;
+
+		return ios;
+	}
+
+	template <typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER std::basic_ios<CTy,CTr>& unformatted(std::basic_ios<CTy,CTr>& ios)
+	{
+		const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(ios)).formatted = false;
+
+		return ios;
+	}
+
+	template <typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, precision const& a)
+	{
+		const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).precision = a.value;
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, width const& a)
+	{
+		const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).width = a.value;
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr>
+	std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, delimeter<CTy> const& a)
+	{
+		format_punct<CTy> & fmt(const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)));
+
+		fmt.delim_left  = a.value[0];
+		fmt.delim_right = a.value[1];
+		fmt.separator   = a.value[2];
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, order const& a)
+	{
+		const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).order = a.value;
+
+		return os;
+	}
+} // namespace io
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tquat<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+			if(fmt.formatted)
+			{
+				io::basic_state_saver<CTy> const bss(os);
+
+				os << std::fixed
+					<< std::right
+					<< std::setprecision(fmt.precision)
+					<< std::setfill(fmt.space)
+					<< fmt.delim_left
+					<< std::setw(fmt.width) << a.w << fmt.separator
+					<< std::setw(fmt.width) << a.x << fmt.separator
+					<< std::setw(fmt.width) << a.y << fmt.separator
+					<< std::setw(fmt.width) << a.z
+					<< fmt.delim_right;
+			}
+			else
+			{
+				os << a.w << fmt.space << a.x << fmt.space << a.y << fmt.space << a.z;
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tvec2<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+			if(fmt.formatted)
+			{
+				io::basic_state_saver<CTy> const bss(os);
+
+				os << std::fixed
+					<< std::right
+					<< std::setprecision(fmt.precision)
+					<< std::setfill(fmt.space)
+					<< fmt.delim_left
+					<< std::setw(fmt.width) << a.x << fmt.separator
+					<< std::setw(fmt.width) << a.y
+					<< fmt.delim_right;
+			}
+			else
+			{
+				os << a.x << fmt.space << a.y;
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tvec3<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+			if(fmt.formatted)
+			{
+				io::basic_state_saver<CTy> const bss(os);
+
+				os << std::fixed
+					<< std::right
+					<< std::setprecision(fmt.precision)
+					<< std::setfill(fmt.space)
+					<< fmt.delim_left
+					<< std::setw(fmt.width) << a.x << fmt.separator
+					<< std::setw(fmt.width) << a.y << fmt.separator
+					<< std::setw(fmt.width) << a.z
+					<< fmt.delim_right;
+			}
+			else
+			{
+				os << a.x << fmt.space << a.y << fmt.space << a.z;
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tvec4<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+			if(fmt.formatted)
+			{
+				io::basic_state_saver<CTy> const bss(os);
+
+				os << std::fixed
+					<< std::right
+					<< std::setprecision(fmt.precision)
+					<< std::setfill(fmt.space)
+					<< fmt.delim_left
+					<< std::setw(fmt.width) << a.x << fmt.separator
+					<< std::setw(fmt.width) << a.y << fmt.separator
+					<< std::setw(fmt.width) << a.z << fmt.separator
+					<< std::setw(fmt.width) << a.w
+					<< fmt.delim_right;
+			}
+			else
+			{
+				os << a.x << fmt.space << a.y << fmt.space << a.z << fmt.space << a.w;
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat2x2<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat2x2<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+			if(fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat2x3<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat3x2<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+			if(fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.newline
+					<< fmt.space      << m[2] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1] << fmt.space << m[2];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat2x4<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat4x2<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+
+			if(fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.newline
+					<< fmt.space      << m[2] << fmt.newline
+					<< fmt.space      << m[3] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1] << fmt.space << m[2] << fmt.space << m[3];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat3x2<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat2x3<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+			if(fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat3x3<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat3x3<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+			if(fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.newline
+					<< fmt.space      << m[2] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1] << fmt.space << m[2];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat3x4<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat4x3<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+			if (fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.newline
+					<< fmt.space      << m[2] << fmt.newline
+					<< fmt.space      << m[3] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1] << fmt.space << m[2] << fmt.space << m[3];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat4x2<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat2x4<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+			if (fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat4x3<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat3x4<T,P> m(a);
+
+			if(io::row_major == fmt.order)
+				m = transpose(a);
+
+			if(fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.newline
+					<< fmt.space      << m[2] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1] << fmt.space << m[2];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat4x4<T,P> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat4x4<T,P> m(a);
+
+			if (io::row_major == fmt.order)
+				m = transpose(a);
+
+			if(fmt.formatted)
+			{
+				os << fmt.newline
+					<< fmt.delim_left << m[0] << fmt.newline
+					<< fmt.space      << m[1] << fmt.newline
+					<< fmt.space      << m[2] << fmt.newline
+					<< fmt.space      << m[3] << fmt.delim_right;
+			}
+			else
+			{
+				os << m[0] << fmt.space << m[1] << fmt.space << m[2] << fmt.space << m[3];
+			}
+		}
+
+		return os;
+	}
+
+	template <typename CTy, typename CTr, typename T, precision P>
+	GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(
+		std::basic_ostream<CTy,CTr> & os,
+		std::pair<tmat4x4<T,P> const, tmat4x4<T,P> const> const& a)
+	{
+		typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+		if(cerberus)
+		{
+			io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+			tmat4x4<T,P> ml(a.first);
+			tmat4x4<T,P> mr(a.second);
+
+			if(io::row_major == fmt.order)
+			{
+				ml = transpose(a.first);
+				mr = transpose(a.second);
+			}
+
+			if(fmt.formatted)
+			{
+				CTy const & l(fmt.delim_left);
+				CTy const & r(fmt.delim_right);
+				CTy const & s(fmt.space);
+
+				os << fmt.newline
+					<< l << ml[0] << s << s << l << mr[0] << fmt.newline
+					<< s << ml[1] << s << s << s << mr[1] << fmt.newline
+					<< s << ml[2] << s << s << s << mr[2] << fmt.newline
+					<< s << ml[3] << r << s << s << mr[3] << r;
+			}
+			else
+			{
+				os << ml << fmt.space << mr;
+			}
+		}
+
+		return os;
+	}
+}//namespace glm

cpp/glm/gtx/log_base.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_log_base
+/// @file glm/gtx/log_base.hpp
+/// @date 2008-10-24 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_log_base GLM_GTX_log_base
+/// @ingroup gtx
+/// 
+/// @brief Logarithm for any base. base can be a vector or a scalar.
+/// 
+/// <glm/gtx/log_base.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_log_base extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_log_base
+	/// @{
+
+	//! Logarithm for any base.
+	//! From GLM_GTX_log_base.
+	template <typename genType>
+	GLM_FUNC_DECL genType log(
+		genType x,
+		genType base);
+
+	//! Logarithm for any base.
+	//! From GLM_GTX_log_base.
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> sign(
+		vecType<T, P> const & x,
+		vecType<T, P> const & base);
+
+	/// @}
+}//namespace glm
+
+#include "log_base.inl"

cpp/glm/gtx/log_base.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_log_base
+/// @file glm/gtx/log_base.inl
+/// @date 2008-10-24 / 2014-11-25
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename genType> 
+	GLM_FUNC_QUALIFIER genType log(genType const & x, genType const & base)
+	{
+		assert(x != genType(0));
+		return glm::log(x) / glm::log(base);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> log(vecType<T, P> const & x, vecType<T, P> const & base)
+	{
+		return glm::log(x) / glm::log(base);
+	}
+}//namespace glm

cpp/glm/gtx/matrix_cross_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_matrix_cross_product
+/// @file glm/gtx/matrix_cross_product.hpp
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_matrix_cross_product GLM_GTX_matrix_cross_product
+/// @ingroup gtx
+/// 
+/// @brief Build cross product matrices
+/// 
+/// <glm/gtx/matrix_cross_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_matrix_cross_product extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_matrix_cross_product
+	/// @{
+
+	//! Build a cross product matrix.
+	//! From GLM_GTX_matrix_cross_product extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x3<T, P> matrixCross3(
+		tvec3<T, P> const & x);
+		
+	//! Build a cross product matrix.
+	//! From GLM_GTX_matrix_cross_product extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> matrixCross4(
+		tvec3<T, P> const & x);
+
+	/// @}
+}//namespace glm
+
+#include "matrix_cross_product.inl"

cpp/glm/gtx/matrix_cross_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_matrix_cross_product
+/// @file glm/gtx/matrix_cross_product.inl
+/// @date 2005-12-21 / 2005-12-21
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> matrixCross3
+	(
+		tvec3<T, P> const & x
+	)
+	{
+		tmat3x3<T, P> Result(T(0));
+		Result[0][1] = x.z;
+		Result[1][0] = -x.z;
+		Result[0][2] = -x.y;
+		Result[2][0] = x.y;
+		Result[1][2] = x.x;
+		Result[2][1] = -x.x;
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> matrixCross4
+	(
+		tvec3<T, P> const & x
+	)
+	{
+		tmat4x4<T, P> Result(T(0));
+		Result[0][1] = x.z;
+		Result[1][0] = -x.z;
+		Result[0][2] = -x.y;
+		Result[2][0] = x.y;
+		Result[1][2] = x.x;
+		Result[2][1] = -x.x;
+		return Result;
+	}
+
+}//namespace glm

cpp/glm/gtx/matrix_decompose.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_decompose
+/// @file glm/gtx/matrix_decompose.hpp
+/// @date 2014-08-29 / 2014-08-29
+/// @author Christophe Riccio
+/// 
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_decompose GLM_GTX_matrix_decompose
+/// @ingroup gtx
+/// 
+/// @brief Decomposes a model matrix to translations, rotation and scale components
+/// 
+/// <glm/gtx/decomposition.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependencies
+#include "../mat4x4.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtc/matrix_transform.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_matrix_decompose extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_matrix_decompose
+	/// @{
+
+	/// Decomposes a model matrix to translations, rotation and scale components 
+	/// @see gtx_matrix_decompose
+	template <typename T, precision P>
+	GLM_FUNC_DECL bool decompose(
+		tmat4x4<T, P> const & modelMatrix,
+		tvec3<T, P> & scale, tquat<T, P> & orientation, tvec3<T, P> & translation, tvec3<T, P> & skew, tvec4<T, P> & perspective);
+
+	/// @}
+}//namespace glm
+
+#include "matrix_decompose.inl"

cpp/glm/gtx/matrix_decompose.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_decompose
+/// @file glm/gtx/matrix_decompose.inl
+/// @date 2014-08-29 / 2014-08-29
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	/// Make a linear combination of two vectors and return the result.
+	// result = (a * ascl) + (b * bscl)
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> combine(
+		tvec3<T, P> const & a, 
+		tvec3<T, P> const & b,
+		T ascl, T bscl)
+	{
+		return (a * ascl) + (b * bscl);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER void v3Scale(tvec3<T, P> & v, T desiredLength)
+	{
+		T len = glm::length(v);
+		if(len != 0)
+		{
+			T l = desiredLength / len;
+			v[0] *= l;
+			v[1] *= l;
+			v[2] *= l;
+		}
+	}
+
+	/**
+	* Matrix decompose
+	* http://www.opensource.apple.com/source/WebCore/WebCore-514/platform/graphics/transforms/TransformationMatrix.cpp
+	* Decomposes the mode matrix to translations,rotation scale components
+	* 
+	*/
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER bool decompose(tmat4x4<T, P> const & ModelMatrix, tvec3<T, P> & Scale, tquat<T, P> & Orientation, tvec3<T, P> & Translation, tvec3<T, P> & Skew, tvec4<T, P> & Perspective)
+	{
+		tmat4x4<T, P> LocalMatrix(ModelMatrix);
+
+		// Normalize the matrix.
+		if(LocalMatrix[3][3] == static_cast<T>(0))
+			return false;
+
+		for(length_t i = 0; i < 4; ++i)
+		for(length_t j = 0; j < 4; ++j)
+			LocalMatrix[i][j] /= LocalMatrix[3][3];
+
+		// perspectiveMatrix is used to solve for perspective, but it also provides
+		// an easy way to test for singularity of the upper 3x3 component.
+		tmat4x4<T, P> PerspectiveMatrix(LocalMatrix);
+
+		for(length_t i = 0; i < 3; i++)
+			PerspectiveMatrix[i][3] = 0;
+		PerspectiveMatrix[3][3] = 1;
+
+		/// TODO: Fixme!
+		if(determinant(PerspectiveMatrix) == static_cast<T>(0))
+			return false;
+
+		// First, isolate perspective.  This is the messiest.
+		if(LocalMatrix[0][3] != 0 || LocalMatrix[1][3] != 0 || LocalMatrix[2][3] != 0)
+		{
+			// rightHandSide is the right hand side of the equation.
+			tvec4<T, P> RightHandSide;
+			RightHandSide[0] = LocalMatrix[0][3];
+			RightHandSide[1] = LocalMatrix[1][3];
+			RightHandSide[2] = LocalMatrix[2][3];
+			RightHandSide[3] = LocalMatrix[3][3];
+
+			// Solve the equation by inverting PerspectiveMatrix and multiplying
+			// rightHandSide by the inverse.  (This is the easiest way, not
+			// necessarily the best.)
+			tmat4x4<T, P> InversePerspectiveMatrix = glm::inverse(PerspectiveMatrix);//   inverse(PerspectiveMatrix, inversePerspectiveMatrix);
+			tmat4x4<T, P> TransposedInversePerspectiveMatrix = glm::transpose(InversePerspectiveMatrix);//   transposeMatrix4(inversePerspectiveMatrix, transposedInversePerspectiveMatrix);
+
+			Perspective = TransposedInversePerspectiveMatrix * RightHandSide;
+			//  v4MulPointByMatrix(rightHandSide, transposedInversePerspectiveMatrix, perspectivePoint);
+
+			// Clear the perspective partition
+			LocalMatrix[0][3] = LocalMatrix[1][3] = LocalMatrix[2][3] = 0;
+			LocalMatrix[3][3] = 1;
+		}
+		else
+		{
+			// No perspective.
+			Perspective = tvec4<T, P>(0, 0, 0, 1);
+		}
+
+		// Next take care of translation (easy).
+		Translation = tvec3<T, P>(LocalMatrix[3]);
+		LocalMatrix[3] = tvec4<T, P>(0, 0, 0, LocalMatrix[3].w);
+
+		tvec3<T, P> Row[3], Pdum3;
+
+		// Now get scale and shear.
+		for(length_t i = 0; i < 3; ++i)
+			for(int j = 0; j < 3; ++j)
+				Row[i][j] = LocalMatrix[i][j];
+
+		// Compute X scale factor and normalize first row.
+		Scale.x = length(Row[0]);// v3Length(Row[0]);
+
+		v3Scale(Row[0], static_cast<T>(1));
+
+		// Compute XY shear factor and make 2nd row orthogonal to 1st.
+		Skew.z = dot(Row[0], Row[1]);
+		Row[1] = combine(Row[1], Row[0], static_cast<T>(1), -Skew.z);
+
+		// Now, compute Y scale and normalize 2nd row.
+		Scale.y = length(Row[1]);
+		v3Scale(Row[1], static_cast<T>(1));
+		Skew.z /= Scale.y;
+
+		// Compute XZ and YZ shears, orthogonalize 3rd row.
+		Skew.y = glm::dot(Row[0], Row[2]);
+		Row[2] = combine(Row[2], Row[0], static_cast<T>(1), -Skew.y);
+		Skew.x = glm::dot(Row[1], Row[2]);
+		Row[2] = combine(Row[2], Row[1], static_cast<T>(1), -Skew.x);
+
+		// Next, get Z scale and normalize 3rd row.
+		Scale.z = length(Row[2]);
+		v3Scale(Row[2], static_cast<T>(1));
+		Skew.y /= Scale.z;
+		Skew.x /= Scale.z;
+
+		// At this point, the matrix (in rows[]) is orthonormal.
+		// Check for a coordinate system flip.  If the determinant
+		// is -1, then negate the matrix and the scaling factors.
+		Pdum3 = cross(Row[1], Row[2]); // v3Cross(row[1], row[2], Pdum3);
+		if(dot(Row[0], Pdum3) < 0)
+		{
+			for(length_t i = 0; i < 3; i++)
+			{
+				Scale.x *= static_cast<T>(-1);
+				Row[i] *= static_cast<T>(-1);
+			}
+		}
+
+		// Now, get the rotations out, as described in the gem.
+
+		// FIXME - Add the ability to return either quaternions (which are
+		// easier to recompose with) or Euler angles (rx, ry, rz), which
+		// are easier for authors to deal with. The latter will only be useful
+		// when we fix https://bugs.webkit.org/show_bug.cgi?id=23799, so I
+		// will leave the Euler angle code here for now.
+
+		// ret.rotateY = asin(-Row[0][2]);
+		// if (cos(ret.rotateY) != 0) {
+		//     ret.rotateX = atan2(Row[1][2], Row[2][2]);
+		//     ret.rotateZ = atan2(Row[0][1], Row[0][0]);
+		// } else {
+		//     ret.rotateX = atan2(-Row[2][0], Row[1][1]);
+		//     ret.rotateZ = 0;
+		// }
+
+		T s, t, x, y, z, w;
+
+		t = Row[0][0] + Row[1][1] + Row[2][2] + 1.0;
+
+		if(t > 1e-4)
+		{
+			s = 0.5 / sqrt(t);
+			w = 0.25 / s;
+			x = (Row[2][1] - Row[1][2]) * s;
+			y = (Row[0][2] - Row[2][0]) * s;
+			z = (Row[1][0] - Row[0][1]) * s;
+		}
+		else if(Row[0][0] > Row[1][1] && Row[0][0] > Row[2][2])
+		{ 
+			s = sqrt (1.0 + Row[0][0] - Row[1][1] - Row[2][2]) * 2.0; // S=4*qx 
+			x = 0.25 * s;
+			y = (Row[0][1] + Row[1][0]) / s; 
+			z = (Row[0][2] + Row[2][0]) / s; 
+			w = (Row[2][1] - Row[1][2]) / s;
+		}
+		else if(Row[1][1] > Row[2][2])
+		{ 
+			s = sqrt (1.0 + Row[1][1] - Row[0][0] - Row[2][2]) * 2.0; // S=4*qy
+			x = (Row[0][1] + Row[1][0]) / s; 
+			y = 0.25 * s;
+			z = (Row[1][2] + Row[2][1]) / s; 
+			w = (Row[0][2] - Row[2][0]) / s;
+		}
+		else
+		{ 
+			s = sqrt(1.0 + Row[2][2] - Row[0][0] - Row[1][1]) * 2.0; // S=4*qz
+			x = (Row[0][2] + Row[2][0]) / s;
+			y = (Row[1][2] + Row[2][1]) / s; 
+			z = 0.25 * s;
+			w = (Row[1][0] - Row[0][1]) / s;
+		}
+
+		Orientation.x = x;
+		Orientation.y = y;
+		Orientation.z = z;
+		Orientation.w = w;
+
+		return true;
+	}
+}//namespace glm

cpp/glm/gtx/matrix_interpolation.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_interpolation
+/// @file glm/gtx/matrix_interpolation.hpp
+/// @date 2011-03-05 / 2011-06-07
+/// @author Ghenadii Ursachi (the.asteroth@gmail.com)
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_interpolation GLM_GTX_matrix_interpolation
+/// @ingroup gtx
+/// 
+/// @brief Allows to directly interpolate two exiciting matrices.
+/// 
+/// <glm/gtx/matrix_interpolation.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_interpolation extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_matrix_interpolation
+	/// @{
+
+	/// Get the axis and angle of the rotation from a matrix.
+	/// From GLM_GTX_matrix_interpolation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL void axisAngle(
+		tmat4x4<T, P> const & mat,
+		tvec3<T, P> & axis,
+		T & angle);
+
+	/// Build a matrix from axis and angle.
+	/// From GLM_GTX_matrix_interpolation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> axisAngleMatrix(
+		tvec3<T, P> const & axis,
+		T const angle);
+
+	/// Extracts the rotation part of a matrix.
+	/// From GLM_GTX_matrix_interpolation extension.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> extractMatrixRotation(
+		tmat4x4<T, P> const & mat);
+
+	/// Build a interpolation of 4 * 4 matrixes.
+	/// From GLM_GTX_matrix_interpolation extension.
+	/// Warning! works only with rotation and/or translation matrixes, scale will generate unexpected results.
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> interpolate(
+		tmat4x4<T, P> const & m1,
+		tmat4x4<T, P> const & m2,
+		T const delta);
+
+	/// @}
+}//namespace glm
+
+#include "matrix_interpolation.inl"