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| /// @ref gtx_dual_quaternion | ||||
| /// @file glm/gtx/dual_quaternion.hpp | ||||
| /// @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 GLM_MESSAGES == GLM_MESSAGES_ENABLED && !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 = defaultp> | ||||
| 	struct tdualquat | ||||
| 	{ | ||||
| 		// -- Implementation detail -- | ||||
|  | ||||
| 		typedef T value_type; | ||||
| 		typedef glm::tquat<T, P> part_type; | ||||
|  | ||||
| 		// -- Data -- | ||||
|  | ||||
| 		glm::tquat<T, P> real, dual; | ||||
|  | ||||
| 		// -- Component accesses -- | ||||
|  | ||||
| 		typedef length_t length_type; | ||||
| 		/// Return the count of components of a dual quaternion | ||||
| 		GLM_FUNC_DECL static length_type length(){return 2;} | ||||
|  | ||||
| 		GLM_FUNC_DECL part_type & operator[](length_type i); | ||||
| 		GLM_FUNC_DECL part_type const & operator[](length_type i) const; | ||||
|  | ||||
| 		// -- Implicit basic constructors -- | ||||
|  | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR tdualquat() GLM_DEFAULT_CTOR; | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, P> const & d) GLM_DEFAULT; | ||||
| 		template <precision Q> | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, Q> const & d); | ||||
|  | ||||
| 		// -- Explicit basic constructors -- | ||||
|  | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR_CTOR explicit tdualquat(ctor); | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & real); | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & orientation, tvec3<T, P> const & translation); | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & real, tquat<T, P> const & dual); | ||||
|  | ||||
| 		// -- Conversion constructors -- | ||||
|  | ||||
| 		template <typename U, precision Q> | ||||
| 		GLM_FUNC_DECL GLM_CONSTEXPR GLM_EXPLICIT tdualquat(tdualquat<U, Q> const & q); | ||||
|  | ||||
| 		GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat2x4<T, P> const & holder_mat); | ||||
| 		GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat3x4<T, P> const & aug_mat); | ||||
|  | ||||
| 		// -- Unary arithmetic operators -- | ||||
|  | ||||
| 		GLM_FUNC_DECL tdualquat<T, P> & operator=(tdualquat<T, P> const & m) GLM_DEFAULT; | ||||
|  | ||||
| 		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); | ||||
| 	}; | ||||
|  | ||||
| 	// -- Unary bit operators -- | ||||
|  | ||||
| 	template <typename T, precision P> | ||||
| 	GLM_FUNC_DECL tdualquat<T, P> operator+(tdualquat<T, P> const & q); | ||||
|  | ||||
| 	template <typename T, precision P> | ||||
| 	GLM_FUNC_DECL tdualquat<T, P> operator-(tdualquat<T, P> const & q); | ||||
|  | ||||
| 	// -- Binary operators -- | ||||
|  | ||||
| 	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*(tdualquat<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, tdualquat<T, P> const & q); | ||||
|  | ||||
| 	template <typename T, precision P> | ||||
| 	GLM_FUNC_DECL tvec4<T, P> operator*(tdualquat<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, 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); | ||||
|  | ||||
| 	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); | ||||
|  | ||||
| 	// -- Boolean operators -- | ||||
|  | ||||
| 	template <typename T, precision P> | ||||
| 	GLM_FUNC_DECL bool operator==(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2); | ||||
|  | ||||
| 	template <typename T, precision P> | ||||
| 	GLM_FUNC_DECL bool operator!=(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2); | ||||
|  | ||||
| 	/// 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" | ||||
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