|  |  |  | @ -31,48 +31,48 @@ | 
			
		
	
		
			
				
					|  |  |  |  | namespace glm{ | 
			
		
	
		
			
				
					|  |  |  |  | namespace detail | 
			
		
	
		
			
				
					|  |  |  |  | { | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER typename tquat<T>::size_type tquat<T>::length() const | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return 4; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER tquat<T>::tquat() :  | 
			
		
	
		
			
				
					|  |  |  |  |         x(0), | 
			
		
	
		
			
				
					|  |  |  |  |         y(0), | 
			
		
	
		
			
				
					|  |  |  |  |         z(0), | 
			
		
	
		
			
				
					|  |  |  |  |         w(1) | 
			
		
	
		
			
				
					|  |  |  |  |     {} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER typename tquat<T>::size_type tquat<T>::length() const | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return 4; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER tquat<T>::tquat() :  | 
			
		
	
		
			
				
					|  |  |  |  | 		x(0), | 
			
		
	
		
			
				
					|  |  |  |  | 		y(0), | 
			
		
	
		
			
				
					|  |  |  |  | 		z(0), | 
			
		
	
		
			
				
					|  |  |  |  | 		w(1) | 
			
		
	
		
			
				
					|  |  |  |  | 	{} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		value_type const & s,  | 
			
		
	
		
			
				
					|  |  |  |  | 		tvec3<T> const & v | 
			
		
	
		
			
				
					|  |  |  |  | 	) :  | 
			
		
	
		
			
				
					|  |  |  |  |         x(v.x), | 
			
		
	
		
			
				
					|  |  |  |  |         y(v.y), | 
			
		
	
		
			
				
					|  |  |  |  |         z(v.z), | 
			
		
	
		
			
				
					|  |  |  |  |         w(s) | 
			
		
	
		
			
				
					|  |  |  |  |     {} | 
			
		
	
		
			
				
					|  |  |  |  | 		x(v.x), | 
			
		
	
		
			
				
					|  |  |  |  | 		y(v.y), | 
			
		
	
		
			
				
					|  |  |  |  | 		z(v.z), | 
			
		
	
		
			
				
					|  |  |  |  | 		w(s) | 
			
		
	
		
			
				
					|  |  |  |  | 	{} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		value_type const & w,  | 
			
		
	
		
			
				
					|  |  |  |  | 		value_type const & x,  | 
			
		
	
		
			
				
					|  |  |  |  | 		value_type const & y,  | 
			
		
	
		
			
				
					|  |  |  |  | 		value_type const & z | 
			
		
	
		
			
				
					|  |  |  |  | 	) : | 
			
		
	
		
			
				
					|  |  |  |  |         x(x), | 
			
		
	
		
			
				
					|  |  |  |  |         y(y), | 
			
		
	
		
			
				
					|  |  |  |  |         z(z), | 
			
		
	
		
			
				
					|  |  |  |  |         w(w) | 
			
		
	
		
			
				
					|  |  |  |  |     {} | 
			
		
	
		
			
				
					|  |  |  |  | 		x(x), | 
			
		
	
		
			
				
					|  |  |  |  | 		y(y), | 
			
		
	
		
			
				
					|  |  |  |  | 		z(z), | 
			
		
	
		
			
				
					|  |  |  |  | 		w(w) | 
			
		
	
		
			
				
					|  |  |  |  | 	{} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     ////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  |     // tquat conversions | 
			
		
	
		
			
				
					|  |  |  |  | 	////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  | 	// tquat conversions | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	//template <typename valType>  | 
			
		
	
		
			
				
					|  |  |  |  | 	//GLM_FUNC_QUALIFIER tquat<valType>::tquat | 
			
		
	
	
		
			
				
					|  |  |  | @ -107,70 +107,70 @@ namespace detail | 
			
		
	
		
			
				
					|  |  |  |  | 		this->z = c.x * c.y * s.z - s.x * s.y * c.z;		 | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		tmat3x3<T> const & m | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		*this = quat_cast(m); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER tquat<T>::tquat | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		tmat4x4<T> const & m | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		*this = quat_cast(m); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     ////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  |     // tquat<T> accesses | 
			
		
	
		
			
				
					|  |  |  |  | 	////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  | 	// tquat<T> accesses | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER typename tquat<T>::value_type & tquat<T>::operator [] (int i) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return (&x)[i]; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return (&x)[i]; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER typename tquat<T>::value_type const & tquat<T>::operator [] (int i) const | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return (&x)[i]; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER typename tquat<T>::value_type const & tquat<T>::operator [] (int i) const | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return (&x)[i]; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     ////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  |     // tquat<valType> operators | 
			
		
	
		
			
				
					|  |  |  |  | 	////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  | 	// tquat<valType> operators | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator *= | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator *= | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		value_type const & s | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         this->w *= s; | 
			
		
	
		
			
				
					|  |  |  |  |         this->x *= s; | 
			
		
	
		
			
				
					|  |  |  |  |         this->y *= s; | 
			
		
	
		
			
				
					|  |  |  |  |         this->z *= s; | 
			
		
	
		
			
				
					|  |  |  |  |         return *this; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		this->w *= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		this->x *= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		this->y *= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		this->z *= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		return *this; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator /= | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator /= | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		value_type const & s | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         this->w /= s; | 
			
		
	
		
			
				
					|  |  |  |  |         this->x /= s; | 
			
		
	
		
			
				
					|  |  |  |  |         this->y /= s; | 
			
		
	
		
			
				
					|  |  |  |  |         this->z /= s; | 
			
		
	
		
			
				
					|  |  |  |  |         return *this; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		this->w /= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		this->x /= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		this->y /= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		this->z /= s; | 
			
		
	
		
			
				
					|  |  |  |  | 		return *this; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     ////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  |     // tquat<valType> external operators | 
			
		
	
		
			
				
					|  |  |  |  | 	////////////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  | 	// tquat<valType> external operators | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> operator-  | 
			
		
	
	
		
			
				
					|  |  |  | @ -188,11 +188,11 @@ namespace detail | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & p | 
			
		
	
		
			
				
					|  |  |  |  | 	)  | 
			
		
	
		
			
				
					|  |  |  |  | 	{  | 
			
		
	
		
			
				
					|  |  |  |  |         return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  |             q.w + p.w, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q.x + p.x, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q.y + p.y, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q.z + p.z); | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  | 			q.w + p.w, | 
			
		
	
		
			
				
					|  |  |  |  | 			q.x + p.x, | 
			
		
	
		
			
				
					|  |  |  |  | 			q.y + p.y, | 
			
		
	
		
			
				
					|  |  |  |  | 			q.z + p.z); | 
			
		
	
		
			
				
					|  |  |  |  | 	}  | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
	
		
			
				
					|  |  |  | @ -202,11 +202,11 @@ namespace detail | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & p | 
			
		
	
		
			
				
					|  |  |  |  | 	)  | 
			
		
	
		
			
				
					|  |  |  |  | 	{  | 
			
		
	
		
			
				
					|  |  |  |  |         return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  |             q.w * p.w - q.x * p.x - q.y * p.y - q.z * p.z, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q.w * p.x + q.x * p.w + q.y * p.z - q.z * p.y, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q.w * p.y + q.y * p.w + q.z * p.x - q.x * p.z, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q.w * p.z + q.z * p.w + q.x * p.y - q.y * p.x); | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  | 			q.w * p.w - q.x * p.x - q.y * p.y - q.z * p.z, | 
			
		
	
		
			
				
					|  |  |  |  | 			q.w * p.x + q.x * p.w + q.y * p.z - q.z * p.y, | 
			
		
	
		
			
				
					|  |  |  |  | 			q.w * p.y + q.y * p.w + q.z * p.x - q.x * p.z, | 
			
		
	
		
			
				
					|  |  |  |  | 			q.w * p.z + q.z * p.w + q.x * p.y - q.y * p.x); | 
			
		
	
		
			
				
					|  |  |  |  | 	}  | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	// Transformation | 
			
		
	
	
		
			
				
					|  |  |  | @ -317,108 +317,108 @@ namespace detail | 
			
		
	
		
			
				
					|  |  |  |  | }//namespace detail | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	//////////////////////////////////////////////////////// | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER T length | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return glm::sqrt(dot(q, q)); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> normalize | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> normalize | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type len = length(q); | 
			
		
	
		
			
				
					|  |  |  |  |         if(len <= typename detail::tquat<T>::value_type(0)) // Problem | 
			
		
	
		
			
				
					|  |  |  |  |             return detail::tquat<T>(1, 0, 0, 0); | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type oneOverLen = typename detail::tquat<T>::value_type(1) / len; | 
			
		
	
		
			
				
					|  |  |  |  |         return detail::tquat<T>(q.w * oneOverLen, q.x * oneOverLen, q.y * oneOverLen, q.z * oneOverLen); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type len = length(q); | 
			
		
	
		
			
				
					|  |  |  |  | 		if(len <= typename detail::tquat<T>::value_type(0)) // Problem | 
			
		
	
		
			
				
					|  |  |  |  | 			return detail::tquat<T>(1, 0, 0, 0); | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type oneOverLen = typename detail::tquat<T>::value_type(1) / len; | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tquat<T>(q.w * oneOverLen, q.x * oneOverLen, q.y * oneOverLen, q.z * oneOverLen); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER T dot | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER T dot | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q1,  | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q2 | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return q1.x * q2.x + q1.y * q2.y + q1.z * q2.z + q1.w * q2.w; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return q1.x * q2.x + q1.y * q2.y + q1.z * q2.z + q1.w * q2.w; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> cross | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> cross | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q1,  | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q2 | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  |             q1.w * q2.w - q1.x * q2.x - q1.y * q2.y - q1.z * q2.z, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q1.w * q2.x + q1.x * q2.w + q1.y * q2.z - q1.z * q2.y, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q1.w * q2.y + q1.y * q2.w + q1.z * q2.x - q1.x * q2.z, | 
			
		
	
		
			
				
					|  |  |  |  | 	        q1.w * q2.z + q1.z * q2.w + q1.x * q2.y - q1.y * q2.x); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  | 			q1.w * q2.w - q1.x * q2.x - q1.y * q2.y - q1.z * q2.z, | 
			
		
	
		
			
				
					|  |  |  |  | 			q1.w * q2.x + q1.x * q2.w + q1.y * q2.z - q1.z * q2.y, | 
			
		
	
		
			
				
					|  |  |  |  | 			q1.w * q2.y + q1.y * q2.w + q1.z * q2.x - q1.x * q2.z, | 
			
		
	
		
			
				
					|  |  |  |  | 			q1.w * q2.z + q1.z * q2.w + q1.x * q2.y - q1.y * q2.x); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | /* | 
			
		
	
		
			
				
					|  |  |  |  | 	// (x * sin(1 - a) * angle / sin(angle)) + (y * sin(a) * angle / sin(angle)) | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> mix | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> mix | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & x,  | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & y,  | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type const & a | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         if(a <= typename detail::tquat<T>::value_type(0)) return x; | 
			
		
	
		
			
				
					|  |  |  |  |         if(a >= typename detail::tquat<T>::value_type(1)) return y; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         float fCos = dot(x, y); | 
			
		
	
		
			
				
					|  |  |  |  |         detail::tquat<T> y2(y); //BUG!!! tquat<T> y2; | 
			
		
	
		
			
				
					|  |  |  |  |         if(fCos < typename detail::tquat<T>::value_type(0)) | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |             y2 = -y; | 
			
		
	
		
			
				
					|  |  |  |  |             fCos = -fCos; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         //if(fCos > 1.0f) // problem | 
			
		
	
		
			
				
					|  |  |  |  |         float k0, k1; | 
			
		
	
		
			
				
					|  |  |  |  |         if(fCos > typename detail::tquat<T>::value_type(0.9999)) | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |             k0 = typename detail::tquat<T>::value_type(1) - a; | 
			
		
	
		
			
				
					|  |  |  |  |             k1 = typename detail::tquat<T>::value_type(0) + a; //BUG!!! 1.0f + a; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  |         else | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |             typename detail::tquat<T>::value_type fSin = sqrt(T(1) - fCos * fCos); | 
			
		
	
		
			
				
					|  |  |  |  |             typename detail::tquat<T>::value_type fAngle = atan(fSin, fCos); | 
			
		
	
		
			
				
					|  |  |  |  |             typename detail::tquat<T>::value_type fOneOverSin = T(1) / fSin; | 
			
		
	
		
			
				
					|  |  |  |  |             k0 = sin((typename detail::tquat<T>::value_type(1) - a) * fAngle) * fOneOverSin; | 
			
		
	
		
			
				
					|  |  |  |  |             k1 = sin((typename detail::tquat<T>::value_type(0) + a) * fAngle) * fOneOverSin; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  |             k0 * x.w + k1 * y2.w, | 
			
		
	
		
			
				
					|  |  |  |  |             k0 * x.x + k1 * y2.x, | 
			
		
	
		
			
				
					|  |  |  |  |             k0 * x.y + k1 * y2.y, | 
			
		
	
		
			
				
					|  |  |  |  |             k0 * x.z + k1 * y2.z); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> mix2 | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		if(a <= typename detail::tquat<T>::value_type(0)) return x; | 
			
		
	
		
			
				
					|  |  |  |  | 		if(a >= typename detail::tquat<T>::value_type(1)) return y; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		float fCos = dot(x, y); | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> y2(y); //BUG!!! tquat<T> y2; | 
			
		
	
		
			
				
					|  |  |  |  | 		if(fCos < typename detail::tquat<T>::value_type(0)) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			y2 = -y; | 
			
		
	
		
			
				
					|  |  |  |  | 			fCos = -fCos; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		//if(fCos > 1.0f) // problem | 
			
		
	
		
			
				
					|  |  |  |  | 		float k0, k1; | 
			
		
	
		
			
				
					|  |  |  |  | 		if(fCos > typename detail::tquat<T>::value_type(0.9999)) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			k0 = typename detail::tquat<T>::value_type(1) - a; | 
			
		
	
		
			
				
					|  |  |  |  | 			k1 = typename detail::tquat<T>::value_type(0) + a; //BUG!!! 1.0f + a; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 		else | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			typename detail::tquat<T>::value_type fSin = sqrt(T(1) - fCos * fCos); | 
			
		
	
		
			
				
					|  |  |  |  | 			typename detail::tquat<T>::value_type fAngle = atan(fSin, fCos); | 
			
		
	
		
			
				
					|  |  |  |  | 			typename detail::tquat<T>::value_type fOneOverSin = T(1) / fSin; | 
			
		
	
		
			
				
					|  |  |  |  | 			k0 = sin((typename detail::tquat<T>::value_type(1) - a) * fAngle) * fOneOverSin; | 
			
		
	
		
			
				
					|  |  |  |  | 			k1 = sin((typename detail::tquat<T>::value_type(0) + a) * fAngle) * fOneOverSin; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tquat<T>( | 
			
		
	
		
			
				
					|  |  |  |  | 			k0 * x.w + k1 * y2.w, | 
			
		
	
		
			
				
					|  |  |  |  | 			k0 * x.x + k1 * y2.x, | 
			
		
	
		
			
				
					|  |  |  |  | 			k0 * x.y + k1 * y2.y, | 
			
		
	
		
			
				
					|  |  |  |  | 			k0 * x.z + k1 * y2.z); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> mix2 | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & x,  | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & y,  | 
			
		
	
		
			
				
					|  |  |  |  | 		T const & a | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         bool flip = false; | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		bool flip = false; | 
			
		
	
		
			
				
					|  |  |  |  | 		if(a <= T(0)) return x; | 
			
		
	
		
			
				
					|  |  |  |  |         if(a >= T(1)) return y; | 
			
		
	
		
			
				
					|  |  |  |  | 		if(a >= T(1)) return y; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         T cos_t = dot(x, y); | 
			
		
	
		
			
				
					|  |  |  |  | 		T cos_t = dot(x, y); | 
			
		
	
		
			
				
					|  |  |  |  | 		if(cos_t < T(0)) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			cos_t = -cos_t; | 
			
		
	
	
		
			
				
					|  |  |  | @ -440,180 +440,180 @@ namespace detail | 
			
		
	
		
			
				
					|  |  |  |  | 		if(flip) | 
			
		
	
		
			
				
					|  |  |  |  | 			alpha = -alpha; | 
			
		
	
		
			
				
					|  |  |  |  | 		 | 
			
		
	
		
			
				
					|  |  |  |  |         return normalize(beta * x + alpha * y); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 		return normalize(beta * x + alpha * y); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | */ | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> mix | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T> | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> mix | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & x,  | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & y,  | 
			
		
	
		
			
				
					|  |  |  |  | 		T const & a | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		T angle = acos(dot(x, y)); | 
			
		
	
		
			
				
					|  |  |  |  | 		return (glm::sin((T(1) - a) * angle) * x + glm::sin(a * angle) * y) / glm::sin(angle); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> conjugate | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> conjugate | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return detail::tquat<T>(q.w, -q.x, -q.y, -q.z); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tquat<T>(q.w, -q.x, -q.y, -q.z); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> inverse | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> inverse | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return conjugate(q) / dot(q, q); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return conjugate(q) / dot(q, q); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> rotate | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> rotate | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q,  | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type const & angle,  | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tvec3<T> const & v | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tvec3<T> Tmp = v; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         // Axis of rotation must be normalised | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type len = glm::length(Tmp); | 
			
		
	
		
			
				
					|  |  |  |  |         if(abs(len - T(1)) > T(0.001)) | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |             T oneOverLen = T(1) / len; | 
			
		
	
		
			
				
					|  |  |  |  |             Tmp.x *= oneOverLen; | 
			
		
	
		
			
				
					|  |  |  |  |             Tmp.y *= oneOverLen; | 
			
		
	
		
			
				
					|  |  |  |  |             Tmp.z *= oneOverLen; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  | 		// Axis of rotation must be normalised | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type len = glm::length(Tmp); | 
			
		
	
		
			
				
					|  |  |  |  | 		if(abs(len - T(1)) > T(0.001)) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			T oneOverLen = T(1) / len; | 
			
		
	
		
			
				
					|  |  |  |  | 			Tmp.x *= oneOverLen; | 
			
		
	
		
			
				
					|  |  |  |  | 			Tmp.y *= oneOverLen; | 
			
		
	
		
			
				
					|  |  |  |  | 			Tmp.z *= oneOverLen; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | #ifdef GLM_FORCE_RADIANS | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type const AngleRad(angle); | 
			
		
	
		
			
				
					|  |  |  |  | #else | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type const AngleRad = radians(angle); | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type const AngleRad = radians(angle); | 
			
		
	
		
			
				
					|  |  |  |  | #endif | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type const Sin = sin(AngleRad * T(0.5)); | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type const Sin = sin(AngleRad * T(0.5)); | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		return q * detail::tquat<T>(cos(AngleRad * T(0.5)), Tmp.x * Sin, Tmp.y * Sin, Tmp.z * Sin); | 
			
		
	
		
			
				
					|  |  |  |  |         //return gtc::quaternion::cross(q, detail::tquat<T>(cos(AngleRad * T(0.5)), Tmp.x * fSin, Tmp.y * fSin, Tmp.z * fSin)); | 
			
		
	
		
			
				
					|  |  |  |  | 		//return gtc::quaternion::cross(q, detail::tquat<T>(cos(AngleRad * T(0.5)), Tmp.x * fSin, Tmp.y * fSin, Tmp.z * fSin)); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tvec3<T> eulerAngles | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  |         detail::tquat<T> const & x | 
			
		
	
		
			
				
					|  |  |  |  |     ) | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & x | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tvec3<T>(pitch(x), yaw(x), roll(x)); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  |      | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tmat3x3<T> mat3_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tmat3x3<T> mat3_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         detail::tmat3x3<T> Result(T(1)); | 
			
		
	
		
			
				
					|  |  |  |  |         Result[0][0] = 1 - 2 * q.y * q.y - 2 * q.z * q.z; | 
			
		
	
		
			
				
					|  |  |  |  |         Result[0][1] = 2 * q.x * q.y + 2 * q.w * q.z; | 
			
		
	
		
			
				
					|  |  |  |  |         Result[0][2] = 2 * q.x * q.z - 2 * q.w * q.y; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         Result[1][0] = 2 * q.x * q.y - 2 * q.w * q.z; | 
			
		
	
		
			
				
					|  |  |  |  |         Result[1][1] = 1 - 2 * q.x * q.x - 2 * q.z * q.z; | 
			
		
	
		
			
				
					|  |  |  |  |         Result[1][2] = 2 * q.y * q.z + 2 * q.w * q.x; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         Result[2][0] = 2 * q.x * q.z + 2 * q.w * q.y; | 
			
		
	
		
			
				
					|  |  |  |  |         Result[2][1] = 2 * q.y * q.z - 2 * q.w * q.x; | 
			
		
	
		
			
				
					|  |  |  |  |         Result[2][2] = 1 - 2 * q.x * q.x - 2 * q.y * q.y; | 
			
		
	
		
			
				
					|  |  |  |  |         return Result; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tmat3x3<T> Result(T(1)); | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[0][0] = 1 - 2 * q.y * q.y - 2 * q.z * q.z; | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[0][1] = 2 * q.x * q.y + 2 * q.w * q.z; | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[0][2] = 2 * q.x * q.z - 2 * q.w * q.y; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[1][0] = 2 * q.x * q.y - 2 * q.w * q.z; | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[1][1] = 1 - 2 * q.x * q.x - 2 * q.z * q.z; | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[1][2] = 2 * q.y * q.z + 2 * q.w * q.x; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[2][0] = 2 * q.x * q.z + 2 * q.w * q.y; | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[2][1] = 2 * q.y * q.z - 2 * q.w * q.x; | 
			
		
	
		
			
				
					|  |  |  |  | 		Result[2][2] = 1 - 2 * q.x * q.x - 2 * q.y * q.y; | 
			
		
	
		
			
				
					|  |  |  |  | 		return Result; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tmat4x4<T> mat4_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tmat4x4<T> mat4_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> const & q | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         return detail::tmat4x4<T>(mat3_cast(q)); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return detail::tmat4x4<T>(mat3_cast(q)); | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tmat3x3<T> const & m | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type fourXSquaredMinus1 = m[0][0] - m[1][1] - m[2][2]; | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type fourYSquaredMinus1 = m[1][1] - m[0][0] - m[2][2]; | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type fourZSquaredMinus1 = m[2][2] - m[0][0] - m[1][1]; | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type fourWSquaredMinus1 = m[0][0] + m[1][1] + m[2][2]; | 
			
		
	
		
			
				
					|  |  |  |  |          | 
			
		
	
		
			
				
					|  |  |  |  |         int biggestIndex = 0; | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type fourBiggestSquaredMinus1 = fourWSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  |         if(fourXSquaredMinus1 > fourBiggestSquaredMinus1) | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |             fourBiggestSquaredMinus1 = fourXSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  |             biggestIndex = 1; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  |         if(fourYSquaredMinus1 > fourBiggestSquaredMinus1) | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |             fourBiggestSquaredMinus1 = fourYSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  |             biggestIndex = 2; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  |         if(fourZSquaredMinus1 > fourBiggestSquaredMinus1) | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |             fourBiggestSquaredMinus1 = fourZSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  |             biggestIndex = 3; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type biggestVal = sqrt(fourBiggestSquaredMinus1 + T(1)) * T(0.5); | 
			
		
	
		
			
				
					|  |  |  |  |         typename detail::tquat<T>::value_type mult = T(0.25) / biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |         detail::tquat<T> Result; | 
			
		
	
		
			
				
					|  |  |  |  |         switch(biggestIndex) | 
			
		
	
		
			
				
					|  |  |  |  |         { | 
			
		
	
		
			
				
					|  |  |  |  |         case 0: | 
			
		
	
		
			
				
					|  |  |  |  |             Result.w = biggestVal;  | 
			
		
	
		
			
				
					|  |  |  |  |             Result.x = (m[1][2] - m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.y = (m[2][0] - m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.z = (m[0][1] - m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             break; | 
			
		
	
		
			
				
					|  |  |  |  |         case 1: | 
			
		
	
		
			
				
					|  |  |  |  |             Result.w = (m[1][2] - m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.x = biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.y = (m[0][1] + m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.z = (m[2][0] + m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             break; | 
			
		
	
		
			
				
					|  |  |  |  |         case 2: | 
			
		
	
		
			
				
					|  |  |  |  |             Result.w = (m[2][0] - m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.x = (m[0][1] + m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.y = biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.z = (m[1][2] + m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             break; | 
			
		
	
		
			
				
					|  |  |  |  |         case 3: | 
			
		
	
		
			
				
					|  |  |  |  |             Result.w = (m[0][1] - m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.x = (m[2][0] + m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.y = (m[1][2] + m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  |             Result.z = biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  |             break; | 
			
		
	
		
			
				
					|  |  |  |  |         } | 
			
		
	
		
			
				
					|  |  |  |  |         return Result; | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  |     template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  |     GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type fourXSquaredMinus1 = m[0][0] - m[1][1] - m[2][2]; | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type fourYSquaredMinus1 = m[1][1] - m[0][0] - m[2][2]; | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type fourZSquaredMinus1 = m[2][2] - m[0][0] - m[1][1]; | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type fourWSquaredMinus1 = m[0][0] + m[1][1] + m[2][2]; | 
			
		
	
		
			
				
					|  |  |  |  |          | 
			
		
	
		
			
				
					|  |  |  |  | 		int biggestIndex = 0; | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type fourBiggestSquaredMinus1 = fourWSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  | 		if(fourXSquaredMinus1 > fourBiggestSquaredMinus1) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			fourBiggestSquaredMinus1 = fourXSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  | 			biggestIndex = 1; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 		if(fourYSquaredMinus1 > fourBiggestSquaredMinus1) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			fourBiggestSquaredMinus1 = fourYSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  | 			biggestIndex = 2; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 		if(fourZSquaredMinus1 > fourBiggestSquaredMinus1) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 			fourBiggestSquaredMinus1 = fourZSquaredMinus1; | 
			
		
	
		
			
				
					|  |  |  |  | 			biggestIndex = 3; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type biggestVal = sqrt(fourBiggestSquaredMinus1 + T(1)) * T(0.5); | 
			
		
	
		
			
				
					|  |  |  |  | 		typename detail::tquat<T>::value_type mult = T(0.25) / biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tquat<T> Result; | 
			
		
	
		
			
				
					|  |  |  |  | 		switch(biggestIndex) | 
			
		
	
		
			
				
					|  |  |  |  | 		{ | 
			
		
	
		
			
				
					|  |  |  |  | 		case 0: | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.w = biggestVal;  | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.x = (m[1][2] - m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.y = (m[2][0] - m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.z = (m[0][1] - m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			break; | 
			
		
	
		
			
				
					|  |  |  |  | 		case 1: | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.w = (m[1][2] - m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.x = biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.y = (m[0][1] + m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.z = (m[2][0] + m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			break; | 
			
		
	
		
			
				
					|  |  |  |  | 		case 2: | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.w = (m[2][0] - m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.x = (m[0][1] + m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.y = biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.z = (m[1][2] + m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			break; | 
			
		
	
		
			
				
					|  |  |  |  | 		case 3: | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.w = (m[0][1] - m[1][0]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.x = (m[2][0] + m[0][2]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.y = (m[1][2] + m[2][1]) * mult; | 
			
		
	
		
			
				
					|  |  |  |  | 			Result.z = biggestVal; | 
			
		
	
		
			
				
					|  |  |  |  | 			break; | 
			
		
	
		
			
				
					|  |  |  |  | 		} | 
			
		
	
		
			
				
					|  |  |  |  | 		return Result; | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast | 
			
		
	
		
			
				
					|  |  |  |  | 	( | 
			
		
	
		
			
				
					|  |  |  |  | 		detail::tmat4x4<T> const & m4 | 
			
		
	
		
			
				
					|  |  |  |  | 	) | 
			
		
	
		
			
				
					|  |  |  |  |     { | 
			
		
	
		
			
				
					|  |  |  |  | 	{ | 
			
		
	
		
			
				
					|  |  |  |  | 		return quat_cast(detail::tmat3x3<T>(m4)); | 
			
		
	
		
			
				
					|  |  |  |  |     } | 
			
		
	
		
			
				
					|  |  |  |  | 	} | 
			
		
	
		
			
				
					|  |  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  |  | 	template <typename T>  | 
			
		
	
		
			
				
					|  |  |  |  | 	GLM_FUNC_QUALIFIER T angle | 
			
		
	
	
		
			
				
					|  |  |  | 
 |