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-///////////////////////////////////////////////////////////////////////////////////
-/// 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 gtc_quaternion
-/// @file glm/gtc/quaternion.hpp
-/// @date 2009-05-21 / 2012-12-20
-/// @author Christophe Riccio
-///
-/// @see core (dependence)
-/// @see gtc_half_float (dependence)
-/// @see gtc_constants (dependence)
-///
-/// @defgroup gtc_quaternion GLM_GTC_quaternion
-/// @ingroup gtc
-///
-/// @brief Defines a templated quaternion type and several quaternion operations.
-///
-/// <glm/gtc/quaternion.hpp> need to be included to use these functionalities.
-///////////////////////////////////////////////////////////////////////////////////
-
-#pragma once
-
-// Dependency:
-#include "../mat3x3.hpp"
-#include "../mat4x4.hpp"
-#include "../vec3.hpp"
-#include "../vec4.hpp"
-#include "../gtc/constants.hpp"
-
-#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
-# pragma message("GLM: GLM_GTC_quaternion extension included")
-#endif
-
-namespace glm
-{
- /// @addtogroup gtc_quaternion
- /// @{
-
- template <typename T, precision P>
- struct tquat
- {
- typedef tquat<T, P> type;
- typedef T value_type;
-
- public:
- T x, y, z, w;
-
- //////////////////////////////////////
- // Component accesses
-
-# ifdef GLM_FORCE_SIZE_FUNC
- typedef size_t size_type;
- /// Return the count of components of a quaternion
- GLM_FUNC_DECL GLM_CONSTEXPR size_type size() const;
-
- GLM_FUNC_DECL T & operator[](size_type i);
- GLM_FUNC_DECL T const & operator[](size_type i) const;
-# else
- typedef length_t length_type;
- /// Return the count of components of a quaternion
- GLM_FUNC_DECL GLM_CONSTEXPR length_type length() const;
-
- GLM_FUNC_DECL T & operator[](length_type i);
- GLM_FUNC_DECL T const & operator[](length_type i) const;
-# endif//GLM_FORCE_SIZE_FUNC
-
- //////////////////////////////////////
- // Implicit basic constructors
-
- GLM_FUNC_DECL tquat();
- GLM_FUNC_DECL tquat(tquat<T, P> const & q);
- template <precision Q>
- GLM_FUNC_DECL tquat(tquat<T, Q> const & q);
-
- //////////////////////////////////////
- // Explicit basic constructors
-
- GLM_FUNC_DECL explicit tquat(ctor);
- GLM_FUNC_DECL explicit tquat(T const & s, tvec3<T, P> const & v);
- GLM_FUNC_DECL tquat(T const & w, T const & x, T const & y, T const & z);
-
- //////////////////////////////////////
- // Convertions
-
-# ifdef GLM_FORCE_EXPLICIT_CTOR
- template <typename U, precision Q>
- GLM_FUNC_DECL explicit tquat(tquat<U, Q> const & q);
-# else
- template <typename U, precision Q>
- GLM_FUNC_DECL tquat(tquat<U, Q> const & q);
-# endif
-
- // explicit conversion operators
-# if GLM_HAS_EXPLICIT_CONVERSION_OPERATORS
- GLM_FUNC_DECL explicit operator tmat3x3<T, P>();
- GLM_FUNC_DECL explicit operator tmat4x4<T, P>();
-# endif
-
- /// Create a quaternion from two normalized axis
- ///
- /// @param u A first normalized axis
- /// @param v A second normalized axis
- /// @see gtc_quaternion
- /// @see http://lolengine.net/blog/2013/09/18/beautiful-maths-quaternion-from-vectors
- GLM_FUNC_DECL explicit tquat(tvec3<T, P> const & u, tvec3<T, P> const & v);
-
- /// Build a quaternion from euler angles (pitch, yaw, roll), in radians.
- GLM_FUNC_DECL explicit tquat(tvec3<T, P> const & eulerAngles);
- GLM_FUNC_DECL explicit tquat(tmat3x3<T, P> const & m);
- GLM_FUNC_DECL explicit tquat(tmat4x4<T, P> const & m);
-
- //////////////////////////////////////
- // Operators
-
- GLM_FUNC_DECL tquat<T, P> & operator=(tquat<T, P> const & m);
-
- template <typename U>
- GLM_FUNC_DECL tquat<T, P> & operator=(tquat<U, P> const & m);
- template <typename U>
- GLM_FUNC_DECL tquat<T, P> & operator+=(tquat<U, P> const & q);
- template <typename U>
- GLM_FUNC_DECL tquat<T, P> & operator*=(tquat<U, P> const & q);
- template <typename U>
- GLM_FUNC_DECL tquat<T, P> & operator*=(U s);
- template <typename U>
- GLM_FUNC_DECL tquat<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 tquat<T, P> operator+(tquat<T, P> const & q, tquat<T, P> const & p);
-
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> operator*(tquat<T, P> const & q, tquat<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 tquat<T, P> operator*(tquat<T, P> const & q, T const & s);
-
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> operator*(T const & s, tquat<T, P> const & q);
-
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> operator/(tquat<T, P> const & q, T const & s);
-
- /// Returns the length of the quaternion.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL T length(tquat<T, P> const & q);
-
- /// Returns the normalized quaternion.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> normalize(tquat<T, P> const & q);
-
- /// Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...
- ///
- /// @see gtc_quaternion
- template <typename T, precision P, template <typename, precision> class quatType>
- GLM_FUNC_DECL T dot(quatType<T, P> const & x, quatType<T, P> const & y);
-
- /// Spherical linear interpolation of two quaternions.
- /// The interpolation is oriented and the rotation is performed at constant speed.
- /// For short path spherical linear interpolation, use the slerp function.
- ///
- /// @param x A quaternion
- /// @param y A quaternion
- /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
- /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
- /// @see gtc_quaternion
- /// @see - slerp(tquat<T, P> const & x, tquat<T, P> const & y, T const & a)
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> mix(tquat<T, P> const & x, tquat<T, P> const & y, T a);
-
- /// Linear interpolation of two quaternions.
- /// The interpolation is oriented.
- ///
- /// @param x A quaternion
- /// @param y A quaternion
- /// @param a Interpolation factor. The interpolation is defined in the range [0, 1].
- /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> lerp(tquat<T, P> const & x, tquat<T, P> const & y, T a);
-
- /// Spherical linear interpolation of two quaternions.
- /// The interpolation always take the short path and the rotation is performed at constant speed.
- ///
- /// @param x A quaternion
- /// @param y A quaternion
- /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
- /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> slerp(tquat<T, P> const & x, tquat<T, P> const & y, T a);
-
- /// Returns the q conjugate.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> conjugate(tquat<T, P> const & q);
-
- /// Returns the q inverse.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> inverse(tquat<T, P> const & q);
-
- /// Rotates a quaternion from a vector of 3 components axis and an angle.
- ///
- /// @param q Source orientation
- /// @param angle Angle expressed in radians.
- /// @param axis Axis of the rotation
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> rotate(tquat<T, P> const & q, T const & angle, tvec3<T, P> const & axis);
-
- /// Returns euler angles, yitch as x, yaw as y, roll as z.
- /// The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec3<T, P> eulerAngles(tquat<T, P> const & x);
-
- /// Returns roll value of euler angles expressed in radians.
- ///
- /// @see gtx_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL T roll(tquat<T, P> const & x);
-
- /// Returns pitch value of euler angles expressed in radians.
- ///
- /// @see gtx_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL T pitch(tquat<T, P> const & x);
-
- /// Returns yaw value of euler angles expressed in radians.
- ///
- /// @see gtx_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL T yaw(tquat<T, P> const & x);
-
- /// Converts a quaternion to a 3 * 3 matrix.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tmat3x3<T, P> mat3_cast(tquat<T, P> const & x);
-
- /// Converts a quaternion to a 4 * 4 matrix.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tmat4x4<T, P> mat4_cast(tquat<T, P> const & x);
-
- /// Converts a 3 * 3 matrix to a quaternion.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> quat_cast(tmat3x3<T, P> const & x);
-
- /// Converts a 4 * 4 matrix to a quaternion.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> quat_cast(tmat4x4<T, P> const & x);
-
- /// Returns the quaternion rotation angle.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL T angle(tquat<T, P> const & x);
-
- /// Returns the q rotation axis.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec3<T, P> axis(tquat<T, P> const & x);
-
- /// Build a quaternion from an angle and a normalized axis.
- ///
- /// @param angle Angle expressed in radians.
- /// @param axis Axis of the quaternion, must be normalized.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tquat<T, P> angleAxis(T const & angle, tvec3<T, P> const & axis);
-
- /// Returns the component-wise comparison result of x < y.
- ///
- /// @tparam quatType Floating-point quaternion types.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec4<bool, P> lessThan(tquat<T, P> const & x, tquat<T, P> const & y);
-
- /// Returns the component-wise comparison of result x <= y.
- ///
- /// @tparam quatType Floating-point quaternion types.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec4<bool, P> lessThanEqual(tquat<T, P> const & x, tquat<T, P> const & y);
-
- /// Returns the component-wise comparison of result x > y.
- ///
- /// @tparam quatType Floating-point quaternion types.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec4<bool, P> greaterThan(tquat<T, P> const & x, tquat<T, P> const & y);
-
- /// Returns the component-wise comparison of result x >= y.
- ///
- /// @tparam quatType Floating-point quaternion types.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec4<bool, P> greaterThanEqual(tquat<T, P> const & x, tquat<T, P> const & y);
-
- /// Returns the component-wise comparison of result x == y.
- ///
- /// @tparam quatType Floating-point quaternion types.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec4<bool, P> equal(tquat<T, P> const & x, tquat<T, P> const & y);
-
- /// Returns the component-wise comparison of result x != y.
- ///
- /// @tparam quatType Floating-point quaternion types.
- ///
- /// @see gtc_quaternion
- template <typename T, precision P>
- GLM_FUNC_DECL tvec4<bool, P> notEqual(tquat<T, P> const & x, tquat<T, P> const & y);
- /// @}
-} //namespace glm
-
-#include "quaternion.inl"