paper committed

cpp/glm/gtx/color_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_color_space
+/// @file glm/gtx/color_space.inl
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> rgbColor(const tvec3<T, P>& hsvColor)
+	{
+		tvec3<T, P> hsv = hsvColor;
+		tvec3<T, P> rgbColor;
+
+		if(hsv.y == static_cast<T>(0))
+			// achromatic (grey)
+			rgbColor = tvec3<T, P>(hsv.z);
+		else
+		{
+			T sector = floor(hsv.x / T(60));
+			T frac = (hsv.x / T(60)) - sector;
+			// factorial part of h
+			T o = hsv.z * (T(1) - hsv.y);
+			T p = hsv.z * (T(1) - hsv.y * frac);
+			T q = hsv.z * (T(1) - hsv.y * (T(1) - frac));
+
+			switch(int(sector))
+			{
+			default:
+			case 0:
+				rgbColor.r = hsv.z;
+				rgbColor.g = q;
+				rgbColor.b = o;
+				break;
+			case 1:
+				rgbColor.r = p;
+				rgbColor.g = hsv.z;
+				rgbColor.b = o;
+				break;
+			case 2:
+				rgbColor.r = o;
+				rgbColor.g = hsv.z;
+				rgbColor.b = q;
+				break;
+			case 3:
+				rgbColor.r = o;
+				rgbColor.g = p;
+				rgbColor.b = hsv.z;
+				break;
+			case 4:
+				rgbColor.r = q; 
+				rgbColor.g = o; 
+				rgbColor.b = hsv.z;
+				break;
+			case 5:
+				rgbColor.r = hsv.z; 
+				rgbColor.g = o; 
+				rgbColor.b = p;
+				break;
+			}
+		}
+
+		return rgbColor;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> hsvColor(const tvec3<T, P>& rgbColor)
+	{
+		tvec3<T, P> hsv = rgbColor;
+		float Min   = min(min(rgbColor.r, rgbColor.g), rgbColor.b);
+		float Max   = max(max(rgbColor.r, rgbColor.g), rgbColor.b);
+		float Delta = Max - Min;
+
+		hsv.z = Max;                               
+
+		if(Max != static_cast<T>(0))
+		{
+			hsv.y = Delta / hsv.z;    
+			T h = static_cast<T>(0);
+
+			if(rgbColor.r == Max)
+				// between yellow & magenta
+				h = static_cast<T>(0) + T(60) * (rgbColor.g - rgbColor.b) / Delta;
+			else if(rgbColor.g == Max)
+				// between cyan & yellow
+				h = static_cast<T>(120) + T(60) * (rgbColor.b - rgbColor.r) / Delta;
+			else
+				// between magenta & cyan
+				h = static_cast<T>(240) + T(60) * (rgbColor.r - rgbColor.g) / Delta;
+
+			if(h < T(0)) 
+				hsv.x = h + T(360);
+			else
+				hsv.x = h;
+		}
+		else
+		{
+			// If r = g = b = 0 then s = 0, h is undefined
+			hsv.y = static_cast<T>(0);
+			hsv.x = static_cast<T>(0);
+		}
+
+		return hsv;
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> saturation(T const s)
+	{
+		tvec3<T, defaultp> rgbw = tvec3<T, defaultp>(T(0.2126), T(0.7152), T(0.0722));
+
+		T col0 = (T(1) - s) * rgbw.r;
+		T col1 = (T(1) - s) * rgbw.g;
+		T col2 = (T(1) - s) * rgbw.b;
+
+		tmat4x4<T, defaultp> result(T(1));
+		result[0][0] = col0 + s;
+		result[0][1] = col0;
+		result[0][2] = col0;
+		result[1][0] = col1;
+		result[1][1] = col1 + s;
+		result[1][2] = col1;
+		result[2][0] = col2;
+		result[2][1] = col2;
+		result[2][2] = col2 + s;
+		return result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> saturation(const T s, const tvec3<T, P>& color)
+	{
+		return tvec3<T, P>(saturation(s) * tvec4<T, P>(color, T(0)));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec4<T, P> saturation(const T s, const tvec4<T, P>& color)
+	{
+		return saturation(s) * color;
+	}
+
+	template <typename T, precision P> 
+	GLM_FUNC_QUALIFIER T luminosity(const tvec3<T, P>& color)
+	{
+		const tvec3<T, P> tmp = tvec3<T, P>(0.33, 0.59, 0.11);
+		return dot(color, tmp);
+	}
+}//namespace glm

cpp/glm/gtx/color_space_YCoCg.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_color_space_YCoCg
+/// @file glm/gtx/color_space_YCoCg.hpp
+/// @date 2008-10-28 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_color_space_YCoCg GLM_GTX_color_space_YCoCg
+/// @ingroup gtx
+///
+/// @brief RGB to YCoCg conversions and operations
+/// 
+/// <glm/gtx/color_space_YCoCg.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_color_space_YCoCg extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_color_space_YCoCg
+	/// @{
+
+	/// Convert a color from RGB color space to YCoCg color space.
+	/// @see gtx_color_space_YCoCg
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec3<T, P> rgb2YCoCg(
+		tvec3<T, P> const & rgbColor);
+
+	/// Convert a color from YCoCg color space to RGB color space.
+	/// @see gtx_color_space_YCoCg
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec3<T, P> YCoCg2rgb(
+		tvec3<T, P> const & YCoCgColor);
+
+	/// Convert a color from RGB color space to YCoCgR color space.
+	/// @see "YCoCg-R: A Color Space with RGB Reversibility and Low Dynamic Range"
+	/// @see gtx_color_space_YCoCg
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec3<T, P> rgb2YCoCgR(
+		tvec3<T, P> const & rgbColor);
+
+	/// Convert a color from YCoCgR color space to RGB color space.
+	/// @see "YCoCg-R: A Color Space with RGB Reversibility and Low Dynamic Range"
+	/// @see gtx_color_space_YCoCg
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec3<T, P> YCoCgR2rgb(
+		tvec3<T, P> const & YCoCgColor);
+
+	/// @}
+}//namespace glm
+
+#include "color_space_YCoCg.inl"

cpp/glm/gtx/color_space_YCoCg.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_color_space_YCoCg
+/// @file glm/gtx/color_space_YCoCg.inl
+/// @date 2008-10-28 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> rgb2YCoCg
+	(
+		tvec3<T, P> const & rgbColor
+	)
+	{
+		tvec3<T, P> result;
+		result.x/*Y */ =   rgbColor.r / T(4) + rgbColor.g / T(2) + rgbColor.b / T(4);
+		result.y/*Co*/ =   rgbColor.r / T(2) + rgbColor.g * T(0) - rgbColor.b / T(2);
+		result.z/*Cg*/ = - rgbColor.r / T(4) + rgbColor.g / T(2) - rgbColor.b / T(4);
+		return result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> rgb2YCoCgR
+	(
+		tvec3<T, P> const & rgbColor
+	)
+	{
+		tvec3<T, P> result;
+		result.x/*Y */ = rgbColor.g / T(2) + (rgbColor.r + rgbColor.b) / T(4);
+		result.y/*Co*/ = rgbColor.r - rgbColor.b;
+		result.z/*Cg*/ = rgbColor.g - (rgbColor.r + rgbColor.b) / T(2);
+		return result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> YCoCg2rgb
+	(
+		tvec3<T, P> const & YCoCgColor
+	)
+	{
+		tvec3<T, P> result;
+		result.r = YCoCgColor.x + YCoCgColor.y - YCoCgColor.z;
+		result.g = YCoCgColor.x                + YCoCgColor.z;
+		result.b = YCoCgColor.x - YCoCgColor.y - YCoCgColor.z;
+		return result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> YCoCgR2rgb
+	(
+		tvec3<T, P> const & YCoCgRColor
+	)
+	{
+		tvec3<T, P> result;
+		T tmp = YCoCgRColor.x - (YCoCgRColor.z / T(2));
+		result.g = YCoCgRColor.z + tmp;
+		result.b = tmp - (YCoCgRColor.y / T(2));
+		result.r = result.b + YCoCgRColor.y;
+		return result;
+	}
+}//namespace glm

cpp/glm/gtx/common.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_common
+/// @file glm/gtx/common.hpp
+/// @date 2014-09-08 / 2014-09-08
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+///
+/// @defgroup gtx_common GLM_GTX_common
+/// @ingroup gtx
+/// 
+/// @brief Provide functions to increase the compatibility with Cg and HLSL languages
+/// 
+/// <glm/gtx/common.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependencies:
+#include "../vec2.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../gtc/vec1.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_common extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_common
+	/// @{
+
+	/// Returns true if x is a denormalized number
+	/// Numbers whose absolute value is too small to be represented in the normal format are represented in an alternate, denormalized format.
+	/// This format is less precise but can represent values closer to zero.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	///
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	GLM_FUNC_DECL typename genType::bool_type isdenormal(genType const & x);
+
+	/// @}
+}//namespace glm
+
+#include "common.inl"

cpp/glm/gtx/common.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_common
+/// @file glm/gtx/common.inl
+/// @date 2014-09-08 / 2014-09-08
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+#include <cmath>
+
+namespace glm
+{
+	template <typename T> 
+	GLM_FUNC_QUALIFIER bool isdenormal(T const & x)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+#		if GLM_HAS_CXX11_STL
+			return std::fpclassify(x) == FP_SUBNORMAL;
+#		else
+			return x != static_cast<T>(0) && std::fabs(x) < std::numeric_limits<T>::min();
+#		endif
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER typename tvec1<T, P>::bool_type isdenormal
+	(
+		tvec1<T, P> const & x
+	)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+		return typename tvec1<T, P>::bool_type(
+			isdenormal(x.x));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER typename tvec2<T, P>::bool_type isdenormal
+	(
+		tvec2<T, P> const & x
+	)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+		return typename tvec2<T, P>::bool_type(
+			isdenormal(x.x),
+			isdenormal(x.y));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER typename tvec3<T, P>::bool_type isdenormal
+	(
+		tvec3<T, P> const & x
+	)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+		return typename tvec3<T, P>::bool_type(
+			isdenormal(x.x),
+			isdenormal(x.y),
+			isdenormal(x.z));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER typename tvec4<T, P>::bool_type isdenormal
+	(
+		tvec4<T, P> const & x
+	)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+		return typename tvec4<T, P>::bool_type(
+			isdenormal(x.x),
+			isdenormal(x.y),
+			isdenormal(x.z),
+			isdenormal(x.w));
+	}
+}//namespace glm

cpp/glm/gtx/compatibility.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_compatibility
+/// @file glm/gtx/compatibility.hpp
+/// @date 2007-01-24 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+///
+/// @defgroup gtx_compatibility GLM_GTX_compatibility
+/// @ingroup gtx
+/// 
+/// @brief Provide functions to increase the compatibility with Cg and HLSL languages
+/// 
+/// <glm/gtx/compatibility.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_compatibility extension included")
+#endif
+
+#if(GLM_COMPILER & GLM_COMPILER_VC)
+#	include <cfloat>
+#elif(GLM_COMPILER & GLM_COMPILER_GCC)
+#	include <cmath>
+#	if(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
+#		undef isfinite
+#	endif
+#endif//GLM_COMPILER
+
+namespace glm
+{
+	/// @addtogroup gtx_compatibility
+	/// @{
+
+	template <typename T> GLM_FUNC_QUALIFIER T lerp(T x, T y, T a){return mix(x, y, a);}																					//!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> lerp(const tvec2<T, P>& x, const tvec2<T, P>& y, T a){return mix(x, y, a);}							//!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> lerp(const tvec3<T, P>& x, const tvec3<T, P>& y, T a){return mix(x, y, a);}							//!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> lerp(const tvec4<T, P>& x, const tvec4<T, P>& y, T a){return mix(x, y, a);}							//!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> lerp(const tvec2<T, P>& x, const tvec2<T, P>& y, const tvec2<T, P>& a){return mix(x, y, a);}	//!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> lerp(const tvec3<T, P>& x, const tvec3<T, P>& y, const tvec3<T, P>& a){return mix(x, y, a);}	//!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> lerp(const tvec4<T, P>& x, const tvec4<T, P>& y, const tvec4<T, P>& a){return mix(x, y, a);}	//!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+
+	template <typename T, precision P> GLM_FUNC_QUALIFIER T saturate(T x){return clamp(x, T(0), T(1));}														//!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> saturate(const tvec2<T, P>& x){return clamp(x, T(0), T(1));}					//!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> saturate(const tvec3<T, P>& x){return clamp(x, T(0), T(1));}					//!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> saturate(const tvec4<T, P>& x){return clamp(x, T(0), T(1));}					//!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+
+	template <typename T, precision P> GLM_FUNC_QUALIFIER T atan2(T x, T y){return atan(x, y);}																//!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> atan2(const tvec2<T, P>& x, const tvec2<T, P>& y){return atan(x, y);}	//!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> atan2(const tvec3<T, P>& x, const tvec3<T, P>& y){return atan(x, y);}	//!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> atan2(const tvec4<T, P>& x, const tvec4<T, P>& y){return atan(x, y);}	//!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+
+	template <typename genType> GLM_FUNC_DECL bool isfinite(genType const & x);											//!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_DECL tvec2<bool, P> isfinite(const tvec2<T, P>& x);				//!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_DECL tvec3<bool, P> isfinite(const tvec3<T, P>& x);				//!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+	template <typename T, precision P> GLM_FUNC_DECL tvec4<bool, P> isfinite(const tvec4<T, P>& x);				//!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+
+	typedef bool						bool1;			//!< \brief boolean type with 1 component. (From GLM_GTX_compatibility extension)
+	typedef tvec2<bool, highp>			bool2;			//!< \brief boolean type with 2 components. (From GLM_GTX_compatibility extension)
+	typedef tvec3<bool, highp>			bool3;			//!< \brief boolean type with 3 components. (From GLM_GTX_compatibility extension)
+	typedef tvec4<bool, highp>			bool4;			//!< \brief boolean type with 4 components. (From GLM_GTX_compatibility extension)
+
+	typedef bool						bool1x1;		//!< \brief boolean matrix with 1 x 1 component. (From GLM_GTX_compatibility extension)
+	typedef tmat2x2<bool, highp>		bool2x2;		//!< \brief boolean matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x3<bool, highp>		bool2x3;		//!< \brief boolean matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x4<bool, highp>		bool2x4;		//!< \brief boolean matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x2<bool, highp>		bool3x2;		//!< \brief boolean matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x3<bool, highp>		bool3x3;		//!< \brief boolean matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x4<bool, highp>		bool3x4;		//!< \brief boolean matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x2<bool, highp>		bool4x2;		//!< \brief boolean matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x3<bool, highp>		bool4x3;		//!< \brief boolean matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x4<bool, highp>		bool4x4;		//!< \brief boolean matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+	typedef int							int1;			//!< \brief integer vector with 1 component. (From GLM_GTX_compatibility extension)
+	typedef tvec2<int, highp>			int2;			//!< \brief integer vector with 2 components. (From GLM_GTX_compatibility extension)
+	typedef tvec3<int, highp>			int3;			//!< \brief integer vector with 3 components. (From GLM_GTX_compatibility extension)
+	typedef tvec4<int, highp>			int4;			//!< \brief integer vector with 4 components. (From GLM_GTX_compatibility extension)
+
+	typedef int							int1x1;			//!< \brief integer matrix with 1 component. (From GLM_GTX_compatibility extension)
+	typedef tmat2x2<int, highp>		int2x2;			//!< \brief integer matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x3<int, highp>		int2x3;			//!< \brief integer matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x4<int, highp>		int2x4;			//!< \brief integer matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x2<int, highp>		int3x2;			//!< \brief integer matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x3<int, highp>		int3x3;			//!< \brief integer matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x4<int, highp>		int3x4;			//!< \brief integer matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x2<int, highp>		int4x2;			//!< \brief integer matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x3<int, highp>		int4x3;			//!< \brief integer matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x4<int, highp>		int4x4;			//!< \brief integer matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+	typedef float						float1;			//!< \brief single-precision floating-point vector with 1 component. (From GLM_GTX_compatibility extension)
+	typedef tvec2<float, highp>		float2;			//!< \brief single-precision floating-point vector with 2 components. (From GLM_GTX_compatibility extension)
+	typedef tvec3<float, highp>		float3;			//!< \brief single-precision floating-point vector with 3 components. (From GLM_GTX_compatibility extension)
+	typedef tvec4<float, highp>		float4;			//!< \brief single-precision floating-point vector with 4 components. (From GLM_GTX_compatibility extension)
+
+	typedef float						float1x1;		//!< \brief single-precision floating-point matrix with 1 component. (From GLM_GTX_compatibility extension)
+	typedef tmat2x2<float, highp>		float2x2;		//!< \brief single-precision floating-point matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x3<float, highp>		float2x3;		//!< \brief single-precision floating-point matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x4<float, highp>		float2x4;		//!< \brief single-precision floating-point matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x2<float, highp>		float3x2;		//!< \brief single-precision floating-point matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x3<float, highp>		float3x3;		//!< \brief single-precision floating-point matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x4<float, highp>		float3x4;		//!< \brief single-precision floating-point matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x2<float, highp>		float4x2;		//!< \brief single-precision floating-point matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x3<float, highp>		float4x3;		//!< \brief single-precision floating-point matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x4<float, highp>		float4x4;		//!< \brief single-precision floating-point matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+	typedef double						double1;		//!< \brief double-precision floating-point vector with 1 component. (From GLM_GTX_compatibility extension)
+	typedef tvec2<double, highp>		double2;		//!< \brief double-precision floating-point vector with 2 components. (From GLM_GTX_compatibility extension)
+	typedef tvec3<double, highp>		double3;		//!< \brief double-precision floating-point vector with 3 components. (From GLM_GTX_compatibility extension)
+	typedef tvec4<double, highp>		double4;		//!< \brief double-precision floating-point vector with 4 components. (From GLM_GTX_compatibility extension)
+
+	typedef double						double1x1;		//!< \brief double-precision floating-point matrix with 1 component. (From GLM_GTX_compatibility extension)
+	typedef tmat2x2<double, highp>		double2x2;		//!< \brief double-precision floating-point matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x3<double, highp>		double2x3;		//!< \brief double-precision floating-point matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat2x4<double, highp>		double2x4;		//!< \brief double-precision floating-point matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x2<double, highp>		double3x2;		//!< \brief double-precision floating-point matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x3<double, highp>		double3x3;		//!< \brief double-precision floating-point matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat3x4<double, highp>		double3x4;		//!< \brief double-precision floating-point matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x2<double, highp>		double4x2;		//!< \brief double-precision floating-point matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x3<double, highp>		double4x3;		//!< \brief double-precision floating-point matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+	typedef tmat4x4<double, highp>		double4x4;		//!< \brief double-precision floating-point matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+	/// @}
+}//namespace glm
+
+#include "compatibility.inl"

cpp/glm/gtx/compatibility.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_compatibility
+/// @file glm/gtx/compatibility.inl
+/// @date 2007-01-24 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+#include <limits>
+
+namespace glm
+{
+	// isfinite
+	template <typename genType>
+	GLM_FUNC_QUALIFIER bool isfinite(
+		genType const & x)
+	{
+#		if GLM_HAS_CXX11_STL
+			return std::isfinite(x) != 0;
+#		elif GLM_COMPILER & GLM_COMPILER_VC
+			return _finite(x);
+#		elif GLM_COMPILER & GLM_COMPILER_GCC && GLM_PLATFORM & GLM_PLATFORM_ANDROID
+			return _isfinite(x) != 0;
+#		else
+			return x >= std::numeric_limits<genType>::min() && x <= std::numeric_limits<genType>::max();
+#		endif
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec2<bool, P> isfinite(
+		tvec2<T, P> const & x)
+	{
+		return tvec2<bool, P>(
+			isfinite(x.x),
+			isfinite(x.y));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<bool, P> isfinite(
+		tvec3<T, P> const & x)
+	{
+		return tvec3<bool, P>(
+			isfinite(x.x),
+			isfinite(x.y),
+			isfinite(x.z));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec4<bool, P> isfinite(
+		tvec4<T, P> const & x)
+	{
+		return tvec4<bool, P>(
+			isfinite(x.x),
+			isfinite(x.y),
+			isfinite(x.z),
+			isfinite(x.w));
+	}
+
+}//namespace glm

cpp/glm/gtx/component_wise.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_component_wise
+/// @file glm/gtx/component_wise.hpp
+/// @date 2007-05-21 / 2011-06-07
+/// @author Christophe Riccio
+/// 
+/// @see core (dependence)
+///
+/// @defgroup gtx_component_wise GLM_GTX_component_wise
+/// @ingroup gtx
+/// 
+/// @brief Operations between components of a type
+/// 
+/// <glm/gtx/component_wise.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+#include "../detail/precision.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_component_wise extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_component_wise
+	/// @{
+
+	/// Add all vector components together. 
+	/// @see gtx_component_wise
+	template <typename genType> 
+	GLM_FUNC_DECL typename genType::value_type compAdd(
+		genType const & v);
+
+	/// Multiply all vector components together. 
+	/// @see gtx_component_wise
+	template <typename genType> 
+	GLM_FUNC_DECL typename genType::value_type compMul(
+		genType const & v);
+
+	/// Find the minimum value between single vector components.
+	/// @see gtx_component_wise
+	template <typename genType> 
+	GLM_FUNC_DECL typename genType::value_type compMin(
+		genType const & v);
+
+	/// Find the maximum value between single vector components.
+	/// @see gtx_component_wise
+	template <typename genType> 
+	GLM_FUNC_DECL typename genType::value_type compMax(
+		genType const & v);
+
+	/// @}
+}//namespace glm
+
+#include "component_wise.inl"

cpp/glm/gtx/component_wise.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_component_wise
+/// @file glm/gtx/component_wise.inl
+/// @date 2007-05-21 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T compAdd(vecType<T, P> const & v)
+	{
+		T result(0);
+		for(detail::component_count_t i = 0; i < detail::component_count(v); ++i)
+			result += v[i];
+		return result;
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T compMul(vecType<T, P> const & v)
+	{
+		T result(1);
+		for(detail::component_count_t i = 0; i < detail::component_count(v); ++i)
+			result *= v[i];
+		return result;
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T compMin(vecType<T, P> const & v)
+	{
+		T result(v[0]);
+		for(detail::component_count_t i = 1; i < detail::component_count(v); ++i)
+			result = min(result, v[i]);
+		return result;
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T compMax(vecType<T, P> const & v)
+	{
+		T result(v[0]);
+		for(detail::component_count_t i = 1; i < detail::component_count(v); ++i)
+			result = max(result, v[i]);
+		return result;
+	}
+}//namespace glm

cpp/glm/gtx/dual_quaternion.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_dual_quaternion
+/// @file glm/gtx/dual_quaternion.hpp
+/// @date 2013-02-10 / 2013-02-20
+/// @author Maksim Vorobiev (msomeone@gmail.com)
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+/// @see gtc_constants (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_dual_quaternion GLM_GTX_dual_quaternion
+/// @ingroup gtx
+///
+/// @brief Defines a templated dual-quaternion type and several dual-quaternion operations.
+///
+/// <glm/gtx/dual_quaternion.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/constants.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_dual_quaternion extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_dual_quaternion
+	/// @{
+
+	template <typename T, precision P>
+	struct tdualquat
+	{
+		typedef T value_type;
+		typedef glm::tquat<T, P> part_type;
+		
+	public:
+		glm::tquat<T, P> real, dual;
+		
+		//////////////////////////////////////
+		// Component accesses
+
+#		ifdef GLM_FORCE_SIZE_FUNC
+			typedef size_t size_type;
+			/// Return the count of components of a dual quaternion
+			GLM_FUNC_DECL GLM_CONSTEXPR size_type size() const;
+
+			GLM_FUNC_DECL part_type & operator[](size_type i);
+			GLM_FUNC_DECL part_type const & operator[](size_type i) const;
+#		else
+			typedef length_t length_type;
+			/// Return the count of components of a dual quaternion
+			GLM_FUNC_DECL GLM_CONSTEXPR length_type length() const;
+
+			GLM_FUNC_DECL part_type & operator[](length_type i);
+			GLM_FUNC_DECL part_type const & operator[](length_type i) const;
+#		endif//GLM_FORCE_SIZE_FUNC
+
+		//////////////////////////////////////
+		// Implicit basic constructors
+
+		GLM_FUNC_DECL tdualquat();
+		GLM_FUNC_DECL tdualquat(tdualquat<T, P> const & d);
+		template <precision Q>
+		GLM_FUNC_DECL tdualquat(tdualquat<T, Q> const & d);
+
+		//////////////////////////////////////
+		// Explicit basic constructors
+
+		GLM_FUNC_DECL explicit tdualquat(ctor);
+		GLM_FUNC_DECL explicit tdualquat(tquat<T, P> const & real);
+		GLM_FUNC_DECL tdualquat(tquat<T, P> const & orientation, tvec3<T, P> const & translation);
+		GLM_FUNC_DECL tdualquat(tquat<T, P> const & real, tquat<T, P> const & dual);
+
+		//////////////////////////////////////////////////////////////
+		// tdualquat conversions
+
+#		ifdef GLM_FORCE_EXPLICIT_CTOR
+			template <typename U, precision Q>
+			GLM_FUNC_DECL explicit tdualquat(tdualquat<U, Q> const & q);
+#		else
+			template <typename U, precision Q>
+			GLM_FUNC_DECL tdualquat(tdualquat<U, Q> const & q);
+#		endif
+
+		GLM_FUNC_DECL explicit tdualquat(tmat2x4<T, P> const & holder_mat);
+		GLM_FUNC_DECL explicit tdualquat(tmat3x4<T, P> const & aug_mat);
+		
+		// Operators
+		GLM_FUNC_DECL tdualquat<T, P> & operator=(tdualquat<T, P> const & m);
+
+		template <typename U>
+		GLM_FUNC_DECL tdualquat<T, P> & operator=(tdualquat<U, P> const & m);
+		template <typename U>
+		GLM_FUNC_DECL tdualquat<T, P> & operator*=(U s);
+		template <typename U>
+		GLM_FUNC_DECL tdualquat<T, P> & operator/=(U s);
+	};
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tquat<T, P> operator- (
+		tquat<T, P> const & q);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> operator+ (
+		tdualquat<T, P> const & q,
+		tdualquat<T, P> const & p);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> operator* (
+		tdualquat<T, P> const & q,
+		tdualquat<T, P> const & p);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec3<T, P> operator* (
+		tquat<T, P> const & q,
+		tvec3<T, P> const & v);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec3<T, P> operator* (
+		tvec3<T, P> const & v,
+		tquat<T, P> const & q);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec4<T, P> operator* (
+		tquat<T, P> const & q,
+		tvec4<T, P> const & v);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tvec4<T, P> operator* (
+		tvec4<T, P> const & v,
+		tquat<T, P> const & q);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> operator* (
+		tdualquat<T, P> const & q,
+		T const & s);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> operator* (
+		T const & s,
+		tdualquat<T, P> const & q);
+	
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> operator/ (
+		tdualquat<T, P> const & q,
+		T const & s);
+
+	/// Returns the normalized quaternion.
+	///
+	/// @see gtx_dual_quaternion
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> normalize(
+		tdualquat<T, P> const & q);
+
+	/// Returns the linear interpolation of two dual quaternion.
+	///
+	/// @see gtc_dual_quaternion
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> lerp(
+		tdualquat<T, P> const & x,
+		tdualquat<T, P> const & y,
+		T const & a);
+
+	/// Returns the q inverse.
+	///
+	/// @see gtx_dual_quaternion
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> inverse(
+		tdualquat<T, P> const & q);
+
+	/// Converts a quaternion to a 2 * 4 matrix.
+	///
+	/// @see gtx_dual_quaternion
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat2x4<T, P> mat2x4_cast(
+		tdualquat<T, P> const & x);
+
+	/// Converts a quaternion to a 3 * 4 matrix.
+	///
+	/// @see gtx_dual_quaternion
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x4<T, P> mat3x4_cast(
+		tdualquat<T, P> const & x);
+
+	/// Converts a 2 * 4 matrix (matrix which holds real and dual parts) to a quaternion.
+	///
+	/// @see gtx_dual_quaternion
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> dualquat_cast(
+		tmat2x4<T, P> const & x);
+
+	/// Converts a 3 * 4 matrix (augmented matrix rotation + translation) to a quaternion.
+	///
+	/// @see gtx_dual_quaternion
+	template <typename T, precision P>
+	GLM_FUNC_DECL tdualquat<T, P> dualquat_cast(
+		tmat3x4<T, P> const & x);
+
+	
+	/// Dual-quaternion of low single-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<float, lowp>		lowp_dualquat;
+	
+	/// Dual-quaternion of medium single-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<float, mediump>	mediump_dualquat;
+	
+	/// Dual-quaternion of high single-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<float, highp>		highp_dualquat;
+
+
+	/// Dual-quaternion of low single-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<float, lowp>		lowp_fdualquat;
+	
+	/// Dual-quaternion of medium single-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<float, mediump>	mediump_fdualquat;
+	
+	/// Dual-quaternion of high single-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<float, highp>		highp_fdualquat;
+	
+	
+	/// Dual-quaternion of low double-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<double, lowp>		lowp_ddualquat;
+	
+	/// Dual-quaternion of medium double-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<double, mediump>	mediump_ddualquat;
+	
+	/// Dual-quaternion of high double-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef tdualquat<double, highp>	highp_ddualquat;
+
+	
+#if(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+	/// Dual-quaternion of floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef highp_fdualquat			dualquat;
+	
+	/// Dual-quaternion of single-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef highp_fdualquat			fdualquat;
+#elif(defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+	typedef highp_fdualquat			dualquat;
+	typedef highp_fdualquat			fdualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+	typedef mediump_fdualquat		dualquat;
+	typedef mediump_fdualquat		fdualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && defined(GLM_PRECISION_LOWP_FLOAT))
+	typedef lowp_fdualquat			dualquat;
+	typedef lowp_fdualquat			fdualquat;
+#else
+#	error "GLM error: multiple default precision requested for single-precision floating-point types"
+#endif
+	
+
+#if(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+	/// Dual-quaternion of default double-precision floating-point numbers.
+	///
+	/// @see gtx_dual_quaternion
+	typedef highp_ddualquat			ddualquat;
+#elif(defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+	typedef highp_ddualquat			ddualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+	typedef mediump_ddualquat		ddualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && defined(GLM_PRECISION_LOWP_DOUBLE))
+	typedef lowp_ddualquat			ddualquat;
+#else
+#	error "GLM error: Multiple default precision requested for double-precision floating-point types"
+#endif
+
+	/// @}
+} //namespace glm
+
+#include "dual_quaternion.inl"

cpp/glm/gtx/dual_quaternion.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_dual_quaternion
+/// @file glm/gtx/dual_quaternion.inl
+/// @date 2013-02-10 / 2013-02-13
+/// @author Maksim Vorobiev (msomeone@gmail.com)
+///////////////////////////////////////////////////////////////////////////////////
+
+#include "../geometric.hpp"
+#include <limits>
+
+namespace glm
+{
+	//////////////////////////////////////
+	// Component accesses
+
+#	ifdef GLM_FORCE_SIZE_FUNC
+		template <typename T, precision P>
+		GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tdualquat<T, P>::size_type tdualquat<T, P>::size() const
+		{
+			return 2;
+		}
+
+		template <typename T, precision P>
+		GLM_FUNC_QUALIFIER typename tdualquat<T, P>::part_type & tdualquat<T, P>::operator[](typename tdualquat<T, P>::size_type i)
+		{
+			assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
+			return (&real)[i];
+		}
+
+		template <typename T, precision P>
+		GLM_FUNC_QUALIFIER typename tdualquat<T, P>::part_type const & tdualquat<T, P>::operator[](typename tdualquat<T, P>::size_type i) const
+		{
+			assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
+			return (&real)[i];
+		}
+#	else
+		template <typename T, precision P>
+		GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tdualquat<T, P>::length_type tdualquat<T, P>::length() const
+		{
+			return 2;
+		}
+
+		template <typename T, precision P>
+		GLM_FUNC_QUALIFIER typename tdualquat<T, P>::part_type & tdualquat<T, P>::operator[](typename tdualquat<T, P>::length_type i)
+		{
+			assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
+			return (&real)[i];
+		}
+
+		template <typename T, precision P>
+		GLM_FUNC_QUALIFIER typename tdualquat<T, P>::part_type const & tdualquat<T, P>::operator[](typename tdualquat<T, P>::length_type i) const
+		{
+			assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
+			return (&real)[i];
+		}
+#	endif//GLM_FORCE_SIZE_FUNC
+
+	//////////////////////////////////////
+	// Implicit basic constructors
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat()
+#		ifndef GLM_FORCE_NO_CTOR_INIT 
+			: real(tquat<T, P>())
+			, dual(tquat<T, P>(0, 0, 0, 0))
+#		endif
+	{}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tdualquat<T, P> const & d)
+		: real(d.real)
+		, dual(d.dual)
+	{}
+
+	template <typename T, precision P>
+	template <precision Q>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tdualquat<T, Q> const & d)
+		: real(d.real)
+		, dual(d.dual)
+	{}
+
+	//////////////////////////////////////
+	// Explicit basic constructors
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(ctor)
+	{}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tquat<T, P> const & r)
+		: real(r), dual(tquat<T, P>(0, 0, 0, 0))
+	{}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tquat<T, P> const & q, tvec3<T, P> const& p)
+		: real(q), dual(
+			T(-0.5) * ( p.x*q.x + p.y*q.y + p.z*q.z),
+			T(+0.5) * ( p.x*q.w + p.y*q.z - p.z*q.y),
+			T(+0.5) * (-p.x*q.z + p.y*q.w + p.z*q.x),
+			T(+0.5) * ( p.x*q.y - p.y*q.x + p.z*q.w))
+	{}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tquat<T, P> const & r, tquat<T, P> const & d)
+		: real(r), dual(d)
+	{}
+
+	//////////////////////////////////////////////////////////////
+	// tdualquat conversions
+
+	template <typename T, precision P>
+	template <typename U, precision Q>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tdualquat<U, Q> const & q)
+		: real(q.real)
+		, dual(q.dual)
+	{}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tmat2x4<T, P> const & m)
+	{
+		*this = dualquat_cast(m);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tmat3x4<T, P> const & m)
+	{
+		*this = dualquat_cast(m);
+	}
+
+	//////////////////////////////////////////////////////////////
+	// tdualquat operators
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator=(tdualquat<T, P> const & q)
+	{
+		this->real = q.real;
+		this->dual = q.dual;
+		return *this;
+	}
+
+	template <typename T, precision P>
+	template <typename U>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator=(tdualquat<U, P> const & q)
+	{
+		this->real = q.real;
+		this->dual = q.dual;
+		return *this;
+	}
+
+	template <typename T, precision P>
+	template <typename U>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator*=(U s)
+	{
+		this->real *= static_cast<T>(s);
+		this->dual *= static_cast<T>(s);
+		return *this;
+	}
+
+	template <typename T, precision P>
+	template <typename U>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator/=(U s)
+	{
+		this->real /= static_cast<T>(s);
+		this->dual /= static_cast<T>(s);
+		return *this;
+	}
+
+	//////////////////////////////////////////////////////////////
+	// tquat<valType> external operators
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> operator-(tdualquat<T, P> const & q)
+	{
+		return tdualquat<T, P>(-q.real,-q.dual);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> operator+(tdualquat<T, P> const & q, tdualquat<T, P> const & p)
+	{
+		return tdualquat<T, P>(q.real + p.real,q.dual + p.dual);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> operator*(tdualquat<T, P> const & p, tdualquat<T, P> const & o)
+	{
+		return tdualquat<T, P>(p.real * o.real,p.real * o.dual + p.dual * o.real);
+	}
+
+	// Transformation
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tdualquat<T, P> const & q, tvec3<T, P> const & v)
+	{
+		tvec3<T, P> const real_v3(q.real.x,q.real.y,q.real.z);
+		tvec3<T, P> const dual_v3(q.dual.x,q.dual.y,q.dual.z);
+		return (cross(real_v3, cross(real_v3,v) + v * q.real.w + dual_v3) + dual_v3 * q.real.w - real_v3 * q.dual.w) * T(2) + v;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tvec3<T, P> const & v,	tdualquat<T, P> const & q)
+	{
+		return glm::inverse(q) * v;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec4<T, P> operator*(tdualquat<T, P> const & q, tvec4<T, P> const & v)
+	{
+		return tvec4<T, P>(q * tvec3<T, P>(v), v.w);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec4<T, P> operator*(tvec4<T, P> const & v,	tdualquat<T, P> const & q)
+	{
+		return glm::inverse(q) * v;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> operator*(tdualquat<T, P> const & q, T const & s)
+	{
+		return tdualquat<T, P>(q.real * s, q.dual * s);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> operator*(T const & s, tdualquat<T, P> const & q)
+	{
+		return q * s;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> operator/(tdualquat<T, P> const & q,	T const & s)
+	{
+		return tdualquat<T, P>(q.real / s, q.dual / s);
+	}
+
+	//////////////////////////////////////
+	// Boolean operators
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER bool operator==(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2)
+	{
+		return (q1.real == q2.real) && (q1.dual == q2.dual);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER bool operator!=(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2)
+	{
+		return (q1.real != q2.dual) || (q1.real != q2.dual);
+	}
+
+	////////////////////////////////////////////////////////
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> normalize(tdualquat<T, P> const & q)
+	{
+		return q / length(q.real);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> lerp(tdualquat<T, P> const & x, tdualquat<T, P> const & y, T const & a)
+	{
+		// Dual Quaternion Linear blend aka DLB:
+		// Lerp is only defined in [0, 1]
+		assert(a >= static_cast<T>(0));
+		assert(a <= static_cast<T>(1));
+		T const k = dot(x.real,y.real) < static_cast<T>(0) ? -a : a;
+		T const one(1);
+		return tdualquat<T, P>(x * (one - a) + y * k);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> inverse(tdualquat<T, P> const & q)
+	{
+		const glm::tquat<T, P> real = conjugate(q.real);
+		const glm::tquat<T, P> dual = conjugate(q.dual);
+		return tdualquat<T, P>(real, dual + (real * (-2.0f * dot(real,dual))));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat2x4<T, P> mat2x4_cast(tdualquat<T, P> const & x)
+	{
+		return tmat2x4<T, P>( x[0].x, x[0].y, x[0].z, x[0].w, x[1].x, x[1].y, x[1].z, x[1].w );
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat3x4<T, P> mat3x4_cast(tdualquat<T, P> const & x)
+	{
+		tquat<T, P> r = x.real / length2(x.real);
+		
+		tquat<T, P> const rr(r.w * x.real.w, r.x * x.real.x, r.y * x.real.y, r.z * x.real.z);
+		r *= static_cast<T>(2);
+		
+		T const xy = r.x * x.real.y;
+		T const xz = r.x * x.real.z;
+		T const yz = r.y * x.real.z;
+		T const wx = r.w * x.real.x;
+		T const wy = r.w * x.real.y;
+		T const wz = r.w * x.real.z;
+		
+		tvec4<T, P> const a(
+			rr.w + rr.x - rr.y - rr.z,
+			xy - wz,
+			xz + wy,
+			-(x.dual.w * r.x - x.dual.x * r.w + x.dual.y * r.z - x.dual.z * r.y));
+		
+		tvec4<T, P> const b(
+			xy + wz,
+			rr.w + rr.y - rr.x - rr.z,
+			yz - wx,
+			-(x.dual.w * r.y - x.dual.x * r.z - x.dual.y * r.w + x.dual.z * r.x));
+		
+		tvec4<T, P> const c(
+			xz - wy,
+			yz + wx,
+			rr.w + rr.z - rr.x - rr.y,
+			-(x.dual.w * r.z + x.dual.x * r.y - x.dual.y * r.x - x.dual.z * r.w));
+		
+		return tmat3x4<T, P>(a, b, c);
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> dualquat_cast(tmat2x4<T, P> const & x)
+	{
+		return tdualquat<T, P>(
+			tquat<T, P>( x[0].w, x[0].x, x[0].y, x[0].z ),
+			tquat<T, P>( x[1].w, x[1].x, x[1].y, x[1].z ));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tdualquat<T, P> dualquat_cast(tmat3x4<T, P> const & x)
+	{
+		tquat<T, P> real(uninitialize);
+		
+		T const trace = x[0].x + x[1].y + x[2].z;
+		if(trace > static_cast<T>(0))
+		{
+			T const r = sqrt(T(1) + trace);
+			T const invr = static_cast<T>(0.5) / r;
+			real.w = static_cast<T>(0.5) * r;
+			real.x = (x[2].y - x[1].z) * invr;
+			real.y = (x[0].z - x[2].x) * invr;
+			real.z = (x[1].x - x[0].y) * invr;
+		}
+		else if(x[0].x > x[1].y && x[0].x > x[2].z)
+		{
+			T const r = sqrt(T(1) + x[0].x - x[1].y - x[2].z);
+			T const invr = static_cast<T>(0.5) / r;
+			real.x = static_cast<T>(0.5)*r;
+			real.y = (x[1].x + x[0].y) * invr;
+			real.z = (x[0].z + x[2].x) * invr;
+			real.w = (x[2].y - x[1].z) * invr;
+		}
+		else if(x[1].y > x[2].z)
+		{
+			T const r = sqrt(T(1) + x[1].y - x[0].x - x[2].z);
+			T const invr = static_cast<T>(0.5) / r;
+			real.x = (x[1].x + x[0].y) * invr;
+			real.y = static_cast<T>(0.5) * r;
+			real.z = (x[2].y + x[1].z) * invr;
+			real.w = (x[0].z - x[2].x) * invr;
+		}
+		else
+		{
+			T const r = sqrt(T(1) + x[2].z - x[0].x - x[1].y);
+			T const invr = static_cast<T>(0.5) / r;
+			real.x = (x[0].z + x[2].x) * invr;
+			real.y = (x[2].y + x[1].z) * invr;
+			real.z = static_cast<T>(0.5) * r;
+			real.w = (x[1].x - x[0].y) * invr;
+		}
+		
+		tquat<T, P> dual(uninitialize);
+		dual.x =  static_cast<T>(0.5) * ( x[0].w * real.w + x[1].w * real.z - x[2].w * real.y);
+		dual.y =  static_cast<T>(0.5) * (-x[0].w * real.z + x[1].w * real.w + x[2].w * real.x);
+		dual.z =  static_cast<T>(0.5) * ( x[0].w * real.y - x[1].w * real.x + x[2].w * real.w);
+		dual.w = -static_cast<T>(0.5) * ( x[0].w * real.x + x[1].w * real.y + x[2].w * real.z);
+		return tdualquat<T, P>(real, dual);
+	}
+}//namespace glm

cpp/glm/gtx/euler_angles.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_euler_angles
+/// @file glm/gtx/euler_angles.hpp
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+///
+/// @defgroup gtx_euler_angles GLM_GTX_euler_angles
+/// @ingroup gtx
+/// 
+/// @brief Build matrices from Euler angles.
+/// 
+/// <glm/gtx/euler_angles.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_euler_angles extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_euler_angles
+	/// @{
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle X.
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleX(
+		T const & angleX);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Y.
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleY(
+		T const & angleY);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Z.
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleZ(
+		T const & angleZ);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleXY(
+		T const & angleX,
+		T const & angleY);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleYX(
+		T const & angleY,
+		T const & angleX);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleXZ(
+		T const & angleX,
+		T const & angleZ);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleZX(
+		T const & angle,
+		T const & angleX);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleYZ(
+		T const & angleY,
+		T const & angleZ);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleZY(
+		T const & angleZ,
+		T const & angleY);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleYXZ(
+		T const & yaw,
+		T const & pitch,
+		T const & roll);
+
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat4x4<T, defaultp> yawPitchRoll(
+		T const & yaw,
+		T const & pitch,
+		T const & roll);
+
+	/// Creates a 2D 2 * 2 rotation matrix from an euler angle.
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat2x2<T, defaultp> orientate2(T const & angle);
+
+	/// Creates a 2D 4 * 4 homogeneous rotation matrix from an euler angle.
+	/// @see gtx_euler_angles
+	template <typename T>
+	GLM_FUNC_DECL tmat3x3<T, defaultp> orientate3(T const & angle);
+
+	/// Creates a 3D 3 * 3 rotation matrix from euler angles (Y * X * Z). 
+	/// @see gtx_euler_angles
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat3x3<T, P> orientate3(tvec3<T, P> const & angles);
+		
+	/// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+	/// @see gtx_euler_angles
+	template <typename T, precision P>
+	GLM_FUNC_DECL tmat4x4<T, P> orientate4(tvec3<T, P> const & angles);
+
+	/// @}
+}//namespace glm
+
+#include "euler_angles.inl"

cpp/glm/gtx/euler_angles.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_euler_angles
+/// @file glm/gtx/euler_angles.inl
+/// @date 2005-12-21 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleX
+	(
+		T const & angleX
+	)
+	{
+		T cosX = glm::cos(angleX);
+		T sinX = glm::sin(angleX);
+	
+		return tmat4x4<T, defaultp>(
+			T(1), T(0), T(0), T(0),
+			T(0), cosX, sinX, T(0),
+			T(0),-sinX, cosX, T(0),
+			T(0), T(0), T(0), T(1));
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleY
+	(
+		T const & angleY
+	)
+	{
+		T cosY = glm::cos(angleY);
+		T sinY = glm::sin(angleY);
+
+		return tmat4x4<T, defaultp>(
+			cosY,	T(0),	-sinY,	T(0),
+			T(0),	T(1),	T(0),	T(0),
+			sinY,	T(0),	cosY,	T(0),
+			T(0),	T(0),	T(0),	T(1));
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZ
+	(
+		T const & angleZ
+	)
+	{
+		T cosZ = glm::cos(angleZ);
+		T sinZ = glm::sin(angleZ);
+
+		return tmat4x4<T, defaultp>(
+			cosZ,	sinZ,	T(0), T(0),
+			-sinZ,	cosZ,	T(0), T(0),
+			T(0),	T(0),	T(1), T(0),
+			T(0),	T(0),	T(0), T(1));
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXY
+	(
+		T const & angleX,
+		T const & angleY
+	)
+	{
+		T cosX = glm::cos(angleX);
+		T sinX = glm::sin(angleX);
+		T cosY = glm::cos(angleY);
+		T sinY = glm::sin(angleY);
+
+		return tmat4x4<T, defaultp>(
+			cosY,   -sinX * -sinY,  cosX * -sinY,   T(0),
+			T(0),   cosX,           sinX,           T(0),
+			sinY,   -sinX * cosY,   cosX * cosY,    T(0),
+			T(0),   T(0),           T(0),           T(1));
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYX
+	(
+		T const & angleY,
+		T const & angleX
+	)
+	{
+		T cosX = glm::cos(angleX);
+		T sinX = glm::sin(angleX);
+		T cosY = glm::cos(angleY);
+		T sinY = glm::sin(angleY);
+
+		return tmat4x4<T, defaultp>(
+			cosY,          0,      -sinY,    T(0),
+			sinY * sinX,  cosX, cosY * sinX, T(0),
+			sinY * cosX, -sinX, cosY * cosX, T(0),
+			T(0),         T(0),     T(0),    T(1));
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXZ
+	(
+		T const & angleX,
+		T const & angleZ
+	)
+	{
+		return eulerAngleX(angleX) * eulerAngleZ(angleZ);
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZX
+	(
+		T const & angleZ,
+		T const & angleX
+	)
+	{
+		return eulerAngleZ(angleZ) * eulerAngleX(angleX);
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYZ
+	(
+		T const & angleY,
+		T const & angleZ
+	)
+	{
+		return eulerAngleY(angleY) * eulerAngleZ(angleZ);
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZY
+	(
+		T const & angleZ,
+		T const & angleY
+	)
+	{
+		return eulerAngleZ(angleZ) * eulerAngleY(angleY);
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYXZ
+	(
+		T const & yaw,
+		T const & pitch,
+		T const & roll
+	)
+	{
+		T tmp_ch = glm::cos(yaw);
+		T tmp_sh = glm::sin(yaw);
+		T tmp_cp = glm::cos(pitch);
+		T tmp_sp = glm::sin(pitch);
+		T tmp_cb = glm::cos(roll);
+		T tmp_sb = glm::sin(roll);
+
+		tmat4x4<T, defaultp> Result;
+		Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
+		Result[0][1] = tmp_sb * tmp_cp;
+		Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
+		Result[0][3] = static_cast<T>(0);
+		Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
+		Result[1][1] = tmp_cb * tmp_cp;
+		Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
+		Result[1][3] = static_cast<T>(0);
+		Result[2][0] = tmp_sh * tmp_cp;
+		Result[2][1] = -tmp_sp;
+		Result[2][2] = tmp_ch * tmp_cp;
+		Result[2][3] = static_cast<T>(0);
+		Result[3][0] = static_cast<T>(0);
+		Result[3][1] = static_cast<T>(0);
+		Result[3][2] = static_cast<T>(0);
+		Result[3][3] = static_cast<T>(1);
+		return Result;
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> yawPitchRoll
+	(
+		T const & yaw,
+		T const & pitch,
+		T const & roll
+	)
+	{
+		T tmp_ch = glm::cos(yaw);
+		T tmp_sh = glm::sin(yaw);
+		T tmp_cp = glm::cos(pitch);
+		T tmp_sp = glm::sin(pitch);
+		T tmp_cb = glm::cos(roll);
+		T tmp_sb = glm::sin(roll);
+
+		tmat4x4<T, defaultp> Result;
+		Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
+		Result[0][1] = tmp_sb * tmp_cp;
+		Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
+		Result[0][3] = static_cast<T>(0);
+		Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
+		Result[1][1] = tmp_cb * tmp_cp;
+		Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
+		Result[1][3] = static_cast<T>(0);
+		Result[2][0] = tmp_sh * tmp_cp;
+		Result[2][1] = -tmp_sp;
+		Result[2][2] = tmp_ch * tmp_cp;
+		Result[2][3] = static_cast<T>(0);
+		Result[3][0] = static_cast<T>(0);
+		Result[3][1] = static_cast<T>(0);
+		Result[3][2] = static_cast<T>(0);
+		Result[3][3] = static_cast<T>(1);
+		return Result;
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat2x2<T, defaultp> orientate2
+	(
+		T const & angle
+	)
+	{
+		T c = glm::cos(angle);
+		T s = glm::sin(angle);
+
+		tmat2x2<T, defaultp> Result;
+		Result[0][0] = c;
+		Result[0][1] = s;
+		Result[1][0] = -s;
+		Result[1][1] = c;
+		return Result;
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER tmat3x3<T, defaultp> orientate3
+	(
+		T const & angle
+	)
+	{
+		T c = glm::cos(angle);
+		T s = glm::sin(angle);
+
+		tmat3x3<T, defaultp> Result;
+		Result[0][0] = c;
+		Result[0][1] = s;
+		Result[0][2] = 0.0f;
+		Result[1][0] = -s;
+		Result[1][1] = c;
+		Result[1][2] = 0.0f;
+		Result[2][0] = 0.0f;
+		Result[2][1] = 0.0f;
+		Result[2][2] = 1.0f;
+		return Result;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat3x3<T, P> orientate3
+	(
+		tvec3<T, P> const & angles
+	)
+	{
+		return tmat3x3<T, P>(yawPitchRoll(angles.z, angles.x, angles.y));
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tmat4x4<T, P> orientate4
+	(
+		tvec3<T, P> const & angles
+	)
+	{
+		return yawPitchRoll(angles.z, angles.x, angles.y);
+	}
+}//namespace glm

cpp/glm/gtx/extend.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_extend
+/// @file glm/gtx/extend.hpp
+/// @date 2006-01-07 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_extend GLM_GTX_extend
+/// @ingroup gtx
+/// 
+/// @brief Extend a position from a source to a position at a defined length.
+/// 
+/// <glm/gtx/extend.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_extend extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_extend
+	/// @{
+
+	/// Extends of Length the Origin position using the (Source - Origin) direction.
+	/// @see gtx_extend
+	template <typename genType> 
+	GLM_FUNC_DECL genType extend(
+		genType const & Origin, 
+		genType const & Source, 
+		typename genType::value_type const Length);
+
+	/// @}
+}//namespace glm
+
+#include "extend.inl"

cpp/glm/gtx/extend.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_extend
+/// @file glm/gtx/extend.inl
+/// @date 2006-01-07 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType extend
+	(
+		genType const & Origin, 
+		genType const & Source, 
+		genType const & Distance
+	)
+	{
+		return Origin + (Source - Origin) * Distance;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec2<T, P> extend
+	(
+		tvec2<T, P> const & Origin,
+		tvec2<T, P> const & Source,
+		T const & Distance
+	)
+	{
+		return Origin + (Source - Origin) * Distance;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec3<T, P> extend
+	(
+		tvec3<T, P> const & Origin,
+		tvec3<T, P> const & Source,
+		T const & Distance
+	)
+	{
+		return Origin + (Source - Origin) * Distance;
+	}
+
+	template <typename T, precision P>
+	GLM_FUNC_QUALIFIER tvec4<T, P> extend
+	(
+		tvec4<T, P> const & Origin,
+		tvec4<T, P> const & Source,
+		T const & Distance
+	)
+	{
+		return Origin + (Source - Origin) * Distance;
+	}
+}//namespace glm

cpp/glm/gtx/extented_min_max.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_extented_min_max
+/// @file glm/gtx/extented_min_max.hpp
+/// @date 2007-03-14 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_half_float (dependence)
+///
+/// @defgroup gtx_extented_min_max GLM_GTX_extented_min_max
+/// @ingroup gtx
+/// 
+/// Min and max functions for 3 to 4 parameters.
+/// 
+/// <glm/gtx/extented_min_max.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_extented_min_max extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_extented_min_max
+	/// @{
+
+	/// Return the minimum component-wise values of 3 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T>
+	GLM_FUNC_DECL T min(
+		T const & x, 
+		T const & y, 
+		T const & z);
+
+	/// Return the minimum component-wise values of 3 inputs
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> min(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z);
+
+	/// Return the minimum component-wise values of 3 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> min(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z);
+
+	/// Return the minimum component-wise values of 4 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T>
+	GLM_FUNC_DECL T min(
+		T const & x, 
+		T const & y, 
+		T const & z, 
+		T const & w);
+
+	/// Return the minimum component-wise values of 4 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> min(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z, 
+		typename C<T>::T const & w);
+
+	/// Return the minimum component-wise values of 4 inputs
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> min(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z,
+		C<T> const & w);
+
+	/// Return the maximum component-wise values of 3 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T>
+	GLM_FUNC_DECL T max(
+		T const & x, 
+		T const & y, 
+		T const & z);
+
+	/// Return the maximum component-wise values of 3 inputs
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> max(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z);
+
+	/// Return the maximum component-wise values of 3 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> max(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z);
+
+	/// Return the maximum component-wise values of 4 inputs
+	/// @see gtx_extented_min_max
+	template <typename T>
+	GLM_FUNC_DECL T max(
+		T const & x, 
+		T const & y, 
+		T const & z, 
+		T const & w);
+
+	/// Return the maximum component-wise values of 4 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> max(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z, 
+		typename C<T>::T const & w);
+
+	/// Return the maximum component-wise values of 4 inputs 
+	/// @see gtx_extented_min_max
+	template <typename T, template <typename> class C>
+	GLM_FUNC_DECL C<T> max(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z, 
+		C<T> const & w);
+
+	/// @}
+}//namespace glm
+
+#include "extented_min_max.inl"

cpp/glm/gtx/extented_min_max.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_extented_min_max
+/// @file glm/gtx/extented_min_max.inl
+/// @date 2007-03-14 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	template <typename T>
+	GLM_FUNC_QUALIFIER T min(
+		T const & x, 
+		T const & y, 
+		T const & z)
+	{
+		return glm::min(glm::min(x, y), z);
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> min
+	(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z
+	)
+	{
+		return glm::min(glm::min(x, y), z);
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> min
+	(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z
+	)
+	{
+		return glm::min(glm::min(x, y), z);
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER T min
+	(
+		T const & x, 
+		T const & y, 
+		T const & z, 
+		T const & w
+	)
+	{
+		return glm::min(glm::min(x, y), glm::min(z, w));
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> min
+	(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z, 
+		typename C<T>::T const & w
+	)
+	{
+		return glm::min(glm::min(x, y), glm::min(z, w));
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> min
+	(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z, 
+		C<T> const & w
+	)
+	{
+		return glm::min(glm::min(x, y), glm::min(z, w));
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER T max(
+		T const & x, 
+		T const & y, 
+		T const & z)
+	{
+		return glm::max(glm::max(x, y), z);
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> max
+	(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z
+	)
+	{
+		return glm::max(glm::max(x, y), z);
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> max
+	(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z
+	)
+	{
+		return glm::max(glm::max(x, y), z);
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER T max
+	(
+		T const & x, 
+		T const & y, 
+		T const & z, 
+		T const & w
+	)
+	{
+		return glm::max(glm::max(x, y), glm::max(z, w));
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> max
+	(
+		C<T> const & x, 
+		typename C<T>::T const & y, 
+		typename C<T>::T const & z, 
+		typename C<T>::T const & w
+	)
+	{
+		return glm::max(glm::max(x, y), glm::max(z, w));
+	}
+
+	template <typename T, template <typename> class C>
+	GLM_FUNC_QUALIFIER C<T> max
+	(
+		C<T> const & x, 
+		C<T> const & y, 
+		C<T> const & z, 
+		C<T> const & w
+	)
+	{
+		return glm::max(glm::max(x, y), glm::max(z, w));
+	}
+
+}//namespace glm

cpp/glm/gtx/fast_exponential.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_exponential
+/// @file glm/gtx/fast_exponential.hpp
+/// @date 2006-01-09 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+/// @see gtx_half_float (dependence)
+///
+/// @defgroup gtx_fast_exponential GLM_GTX_fast_exponential
+/// @ingroup gtx
+/// 
+/// @brief Fast but less accurate implementations of exponential based functions.
+/// 
+/// <glm/gtx/fast_exponential.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_fast_exponential extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_fast_exponential
+	/// @{
+
+	/// Faster than the common pow function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename genType>
+	GLM_FUNC_DECL genType fastPow(genType x, genType y);
+
+	/// Faster than the common pow function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastPow(vecType<T, P> const & x, vecType<T, P> const & y);
+
+	/// Faster than the common pow function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename genTypeT, typename genTypeU>
+	GLM_FUNC_DECL genTypeT fastPow(genTypeT x, genTypeU y);
+
+	/// Faster than the common pow function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastPow(vecType<T, P> const & x);
+
+	/// Faster than the common exp function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T>
+	GLM_FUNC_DECL T fastExp(T x);
+
+	/// Faster than the common exp function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastExp(vecType<T, P> const & x);
+
+	/// Faster than the common log function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T>
+	GLM_FUNC_DECL T fastLog(T x);
+
+	/// Faster than the common exp2 function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastLog(vecType<T, P> const & x);
+
+	/// Faster than the common exp2 function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T>
+	GLM_FUNC_DECL T fastExp2(T x);
+
+	/// Faster than the common exp2 function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastExp2(vecType<T, P> const & x);
+
+	/// Faster than the common log2 function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T>
+	GLM_FUNC_DECL T fastLog2(T x);
+
+	/// Faster than the common log2 function but less accurate.
+	/// @see gtx_fast_exponential
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastLog2(vecType<T, P> const & x);
+
+	/// @}
+}//namespace glm
+
+#include "fast_exponential.inl"

cpp/glm/gtx/fast_exponential.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_exponential
+/// @file glm/gtx/fast_exponential.inl
+/// @date 2006-01-09 / 2011-06-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	// fastPow:
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastPow(genType x, genType y)
+	{
+		return exp(y * log(x));
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastPow(vecType<T, P> const & x, vecType<T, P> const & y)
+	{
+		return exp(y * log(x));
+	}
+
+	template <typename T>
+	GLM_FUNC_QUALIFIER T fastPow(T x, int y)
+	{
+		T f = static_cast<T>(1);
+		for(int i = 0; i < y; ++i)
+			f *= x;
+		return f;
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastPow(vecType<T, P> const & x, vecType<int, P> const & y)
+	{
+		vecType<T, P> Result(uninitialize);
+		for(detail::component_count_t i = 0; i < detail::component_count(x); ++i)
+			Result[i] = fastPow(x[i], y[i]);
+		return Result;
+	}
+
+	// fastExp
+	// Note: This function provides accurate results only for value between -1 and 1, else avoid it.
+	template <typename T>
+	GLM_FUNC_QUALIFIER T fastExp(T x)
+	{
+		// This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
+		// return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
+		T x2 = x * x;
+		T x3 = x2 * x;
+		T x4 = x3 * x;
+		T x5 = x4 * x;
+		return T(1) + x + (x2 * T(0.5)) + (x3 * T(0.1666666667)) + (x4 * T(0.041666667)) + (x5 * T(0.008333333333));
+	}
+	/*  // Try to handle all values of float... but often shower than std::exp, glm::floor and the loop kill the performance
+	GLM_FUNC_QUALIFIER float fastExp(float x)
+	{
+		const float e = 2.718281828f;
+		const float IntegerPart = floor(x);
+		const float FloatPart = x - IntegerPart;
+		float z = 1.f;
+
+		for(int i = 0; i < int(IntegerPart); ++i)
+			z *= e;
+
+		const float x2 = FloatPart * FloatPart;
+		const float x3 = x2 * FloatPart;
+		const float x4 = x3 * FloatPart;
+		const float x5 = x4 * FloatPart;
+		return z * (1.0f + FloatPart + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f));
+	}
+
+	// Increase accuracy on number bigger that 1 and smaller than -1 but it's not enough for high and negative numbers
+	GLM_FUNC_QUALIFIER float fastExp(float x)
+	{
+		// This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
+		// return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
+		float x2 = x * x;
+		float x3 = x2 * x;
+		float x4 = x3 * x;
+		float x5 = x4 * x;
+		float x6 = x5 * x;
+		float x7 = x6 * x;
+		float x8 = x7 * x;
+		return 1.0f + x + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f)+ (x6 * 0.00138888888888f) + (x7 * 0.000198412698f) + (x8 * 0.0000248015873f);;
+	}
+	*/
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastExp(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastExp, x);
+	}
+
+	// fastLog
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastLog(genType x)
+	{
+		return std::log(x);
+	}
+
+	/* Slower than the VC7.1 function...
+	GLM_FUNC_QUALIFIER float fastLog(float x)
+	{
+		float y1 = (x - 1.0f) / (x + 1.0f);
+		float y2 = y1 * y1;
+		return 2.0f * y1 * (1.0f + y2 * (0.3333333333f + y2 * (0.2f + y2 * 0.1428571429f)));
+	}
+	*/
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastLog(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastLog, x);
+	}
+
+	//fastExp2, ln2 = 0.69314718055994530941723212145818f
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastExp2(genType x)
+	{
+		return fastExp(0.69314718055994530941723212145818f * x);
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastExp2(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastExp2, x);
+	}
+
+	// fastLog2, ln2 = 0.69314718055994530941723212145818f
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType fastLog2(genType x)
+	{
+		return fastLog(x) / 0.69314718055994530941723212145818f;
+	}
+
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER vecType<T, P> fastLog2(vecType<T, P> const & x)
+	{
+		return detail::functor1<T, T, P, vecType>::call(fastLog2, x);
+	}
+}//namespace glm

cpp/glm/gtx/fast_square_root.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_square_root
+/// @file glm/gtx/fast_square_root.hpp
+/// @date 2006-01-04 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_fast_square_root GLM_GTX_fast_square_root
+/// @ingroup gtx
+/// 
+/// @brief Fast but less accurate implementations of square root based functions.
+/// - Sqrt optimisation based on Newton's method, 
+/// www.gamedev.net/community/forums/topic.asp?topic id=139956
+/// 
+/// <glm/gtx/fast_square_root.hpp> need to be included to use these functionalities.
+///////////////////////////////////////////////////////////////////////////////////
+
+#pragma once
+
+// Dependency:
+#include "../common.hpp"
+#include "../exponential.hpp"
+#include "../geometric.hpp"
+
+#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
+#	pragma message("GLM: GLM_GTX_fast_square_root extension included")
+#endif
+
+namespace glm
+{
+	/// @addtogroup gtx_fast_square_root
+	/// @{
+
+	/// Faster than the common sqrt function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename genType> 
+	GLM_FUNC_DECL genType fastSqrt(genType x);
+
+	/// Faster than the common sqrt function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastSqrt(vecType<T, P> const & x);
+
+	/// Faster than the common inversesqrt function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename genType> 
+	GLM_FUNC_DECL genType fastInverseSqrt(genType x);
+
+	/// Faster than the common inversesqrt function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL vecType<T, P> fastInverseSqrt(vecType<T, P> const & x);
+
+	/// Faster than the common length function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename genType>
+	GLM_FUNC_DECL genType fastLength(genType x);
+
+	/// Faster than the common length function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL T fastLength(vecType<T, P> const & x);
+
+	/// Faster than the common distance function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename genType>
+	GLM_FUNC_DECL genType fastDistance(genType x, genType y);
+
+	/// Faster than the common distance function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_DECL T fastDistance(vecType<T, P> const & x, vecType<T, P> const & y);
+
+	/// Faster than the common normalize function but less accurate.
+	///
+	/// @see gtx_fast_square_root extension.
+	template <typename genType> 
+	GLM_FUNC_DECL genType fastNormalize(genType const & x);
+
+	/// @}
+}// namespace glm
+
+#include "fast_square_root.inl"