232 lines
		
	
	
		
			7.5 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			232 lines
		
	
	
		
			7.5 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
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/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// of this software and associated documentation files (the "Software"), to deal
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/// in the Software without restriction, including without limitation the rights
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// copies of the Software, and to permit persons to whom the Software is
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/// furnished to do so, subject to the following conditions:
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/// 
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/// The above copyright notice and this permission notice shall be included in
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/// all copies or substantial portions of the Software.
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/// 
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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/// THE SOFTWARE.
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///
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/// @ref gtx_quaternion
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/// @file glm/gtx/quaternion.hpp
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/// @date 2005-12-21 / 2011-06-07
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/// @author Christophe Riccio
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///
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/// @see core (dependence)
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/// @see gtx_extented_min_max (dependence)
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///
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/// @defgroup gtx_quaternion GLM_GTX_quaternion: Extented quaternion types and functions
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/// @ingroup gtx
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/// 
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/// @brief Extented quaternion types and functions
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/// 
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/// <glm/gtx/quaternion.hpp> need to be included to use these functionalities.
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///////////////////////////////////////////////////////////////////////////////////
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#ifndef GLM_GTX_quaternion
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#define GLM_GTX_quaternion GLM_VERSION
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// Dependency:
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#include "../glm.hpp"
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#include "../gtc/quaternion.hpp"
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#if(defined(GLM_MESSAGES) && !defined(glm_ext))
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#	pragma message("GLM: GLM_GTX_quaternion extension included")
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#endif
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namespace glm
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{
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	/// @addtogroup gtx_quaternion
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	/// @{
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	//! Compute a cross product between a quaternion and a vector. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tvec3<valType> cross(
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		detail::tquat<valType> const & q, 
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		detail::tvec3<valType> const & v);
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	//! Compute a cross product between a vector and a quaternion.
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tvec3<valType> cross(
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		detail::tvec3<valType> const & v, 
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		detail::tquat<valType> const & q);
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	//! Compute a point on a path according squad equation. 
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	//! q1 and q2 are control points; s1 and s2 are intermediate control points.
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tquat<valType> squad(
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		detail::tquat<valType> const & q1, 
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		detail::tquat<valType> const & q2, 
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		detail::tquat<valType> const & s1, 
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		detail::tquat<valType> const & s2, 
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		valType const & h);
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	//! Returns an intermediate control point for squad interpolation.
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tquat<valType> intermediate(
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		detail::tquat<valType> const & prev, 
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		detail::tquat<valType> const & curr, 
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		detail::tquat<valType> const & next);
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	//! Returns a exp of a quaternion. 
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	//! From GLM_GTX_quaternion extension.
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    template <typename valType> 
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	detail::tquat<valType> exp(
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		detail::tquat<valType> const & q, 
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		valType const & exponent);
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	//! Returns a log of a quaternion. 
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	//! From GLM_GTX_quaternion extension.
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    template <typename valType> 
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	detail::tquat<valType> log(
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		detail::tquat<valType> const & q);
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	//! Returns x raised to the y power.
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	//! From GLM_GTX_quaternion extension.
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    template <typename valType> 
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	detail::tquat<valType> pow(
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		detail::tquat<valType> const & x, 
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		valType const & y);
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	//! Returns quarternion square root.
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	//! From GLM_GTX_quaternion extension.
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	//template <typename valType> 
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	//detail::tquat<valType> sqrt(
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	//	detail::tquat<valType> const & q);
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	//! Rotates a 3 components vector by a quaternion. 
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	//! From GLM_GTX_transform extension.
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	template <typename valType> 
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	detail::tvec3<valType> rotate(
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		detail::tquat<valType> const & q, 
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		detail::tvec3<valType> const & v);
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    //! Rotates a 4 components vector by a quaternion.
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	//! From GLM_GTX_transform extension.
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	template <typename valType> 
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	detail::tvec4<valType> rotate(
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		detail::tquat<valType> const & q, 
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		detail::tvec4<valType> const & v);
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    //! Returns the quaternion rotation angle. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	valType angle(
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		detail::tquat<valType> const & x);
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	//! Returns the q rotation axis. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tvec3<valType> axis(
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		detail::tquat<valType> const & x);
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	//! Build a quaternion from an angle and a normalized axis. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tquat<valType> angleAxis(
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		valType const & angle, 
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		valType const & x, 
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		valType const & y, 
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		valType const & z);
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    //! Build a quaternion from an angle and a normalized axis.
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tquat<valType> angleAxis(
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		valType const & angle, 
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		detail::tvec3<valType> const & axis);
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	//! Extract the real component of a quaternion.
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	valType extractRealComponent(
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		detail::tquat<valType> const & q);
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    //! Returns roll value of euler angles in degrees. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	valType roll(
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		detail::tquat<valType> const & x);
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	//! Returns pitch value of euler angles in degrees. 
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	//! From GLM_GTX_quaternion extension.
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    template <typename valType> 
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	valType pitch(
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		detail::tquat<valType> const & x);
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    //! Returns yaw value of euler angles in degrees. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	valType yaw(
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		detail::tquat<valType> const & x);
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	//! Returns euler angles, yitch as x, yaw as y, roll as z. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tvec3<valType> eulerAngles(
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		detail::tquat<valType> const & x);
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	//! Converts a quaternion to a 3 * 3 matrix. 
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	//! From GLM_GTX_quaternion extension.
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    template <typename valType> 
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	detail::tmat3x3<valType> toMat3(
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		detail::tquat<valType> const & x){return mat3_cast(x);}
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	//! Converts a quaternion to a 4 * 4 matrix. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tmat4x4<valType> toMat4(
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		detail::tquat<valType> const & x){return mat4_cast(x);}
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	//! Converts a 3 * 3 matrix to a quaternion. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tquat<valType> toQuat(
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		detail::tmat3x3<valType> const & x){return quat_cast(x);}
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	//! Converts a 4 * 4 matrix to a quaternion. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename valType> 
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	detail::tquat<valType> toQuat(
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		detail::tmat4x4<valType> const & x){return quat_cast(x);}
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	//! Quaternion interpolation using the rotation short path. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename T>
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	detail::tquat<T> shortMix(
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		detail::tquat<T> const & x, 
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		detail::tquat<T> const & y, 
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		T const & a);
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	//! Quaternion normalized linear interpolation. 
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	//! From GLM_GTX_quaternion extension.
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	template <typename T>
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	detail::tquat<T> fastMix(
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		detail::tquat<T> const & x, 
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		detail::tquat<T> const & y, 
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		T const & a);
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	/// @}
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}//namespace glm
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#include "quaternion.inl"
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#endif//GLM_GTX_quaternion
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