src/third_party/glm/glm/gtc/matrix_transform.hpp - cobalt - Git at Google

 /// @ref gtc_matrix_transform
 /// @file glm/gtc/matrix_transform.hpp
 ///
 /// @see core (dependence)
 /// @see gtx_transform
 /// @see gtx_transform2
 ///
 /// @defgroup gtc_matrix_transform GLM_GTC_matrix_transform
 /// @ingroup gtc
 ///
 /// @brief Defines functions that generate common transformation matrices.
 ///
 /// The matrices generated by this extension use standard OpenGL fixed-function
 /// conventions. For example, the lookAt function generates a transform from world
 /// space into the specific eye space that the projective matrix functions
 /// (perspective, ortho, etc) are designed to expect. The OpenGL compatibility
 /// specifications defines the particular layout of this eye space.
 ///
 /// <glm/gtc/matrix_transform.hpp> need to be included to use these functionalities.

 #pragma once

 // Dependencies
 #include "../mat4x4.hpp"
 #include "../vec2.hpp"
 #include "../vec3.hpp"
 #include "../vec4.hpp"
 #include "../gtc/constants.hpp"

 #if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
 #	pragma message("GLM: GLM_GTC_matrix_transform extension included")
 #endif

 namespace glm
 {
 	/// @addtogroup gtc_matrix_transform
 	/// @{

 	/// Builds a translation 4 * 4 matrix created from a vector of 3 components.
 	///
 	/// @param m Input matrix multiplied by this translation matrix.
 	/// @param v Coordinates of a translation vector.
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @code
 	/// #include <glm/glm.hpp>
 	/// #include <glm/gtc/matrix_transform.hpp>
 	/// ...
 	/// glm::mat4 m = glm::translate(glm::mat4(1.0f), glm::vec3(1.0f));
 	/// // m[0][0] == 1.0f, m[0][1] == 0.0f, m[0][2] == 0.0f, m[0][3] == 0.0f
 	/// // m[1][0] == 0.0f, m[1][1] == 1.0f, m[1][2] == 0.0f, m[1][3] == 0.0f
 	/// // m[2][0] == 0.0f, m[2][1] == 0.0f, m[2][2] == 1.0f, m[2][3] == 0.0f
 	/// // m[3][0] == 1.0f, m[3][1] == 1.0f, m[3][2] == 1.0f, m[3][3] == 1.0f
 	/// @endcode
 	/// @see gtc_matrix_transform
 	/// @see - translate(tmat4x4<T, P> const & m, T x, T y, T z)
 	/// @see - translate(tvec3<T, P> const & v)
 	template <typename T, precision P>
 	GLM_FUNC_DECL tmat4x4<T, P> translate(
 		tmat4x4<T, P> const & m,
 		tvec3<T, P> const & v);

 	/// Builds a rotation 4 * 4 matrix created from an axis vector and an angle.
 	///
 	/// @param m Input matrix multiplied by this rotation matrix.
 	/// @param angle Rotation angle expressed in radians.
 	/// @param axis Rotation axis, recommended to be normalized.
 	/// @tparam T Value type used to build the matrix. Supported: half, float or double.
 	/// @see gtc_matrix_transform
 	/// @see - rotate(tmat4x4<T, P> const & m, T angle, T x, T y, T z)
 	/// @see - rotate(T angle, tvec3<T, P> const & v)
 	template <typename T, precision P>
 	GLM_FUNC_DECL tmat4x4<T, P> rotate(
 		tmat4x4<T, P> const & m,
 		T angle,
 		tvec3<T, P> const & axis);

 	/// Builds a scale 4 * 4 matrix created from 3 scalars.
 	///
 	/// @param m Input matrix multiplied by this scale matrix.
 	/// @param v Ratio of scaling for each axis.
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	/// @see - scale(tmat4x4<T, P> const & m, T x, T y, T z)
 	/// @see - scale(tvec3<T, P> const & v)
 	template <typename T, precision P>
 	GLM_FUNC_DECL tmat4x4<T, P> scale(
 		tmat4x4<T, P> const & m,
 		tvec3<T, P> const & v);

 	/// Creates a matrix for an orthographic parallel viewing volume, using the default handedness.
 	///
 	/// @param left
 	/// @param right
 	/// @param bottom
 	/// @param top
 	/// @param zNear
 	/// @param zFar
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> ortho(
 		T left,
 		T right,
 		T bottom,
 		T top,
 		T zNear,
 		T zFar);

 	/// Creates a matrix for an orthographic parallel viewing volume, using left-handedness.
 	///
 	/// @param left
 	/// @param right
 	/// @param bottom
 	/// @param top
 	/// @param zNear
 	/// @param zFar
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> orthoLH(
 		T left,
 		T right,
 		T bottom,
 		T top,
 		T zNear,
 		T zFar);

 	/// Creates a matrix for an orthographic parallel viewing volume, using right-handedness.
 	///
 	/// @param left
 	/// @param right
 	/// @param bottom
 	/// @param top
 	/// @param zNear
 	/// @param zFar
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> orthoRH(
 		T left,
 		T right,
 		T bottom,
 		T top,
 		T zNear,
 		T zFar);

 	/// Creates a matrix for projecting two-dimensional coordinates onto the screen.
 	///
 	/// @param left
 	/// @param right
 	/// @param bottom
 	/// @param top
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top, T const & zNear, T const & zFar)
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> ortho(
 		T left,
 		T right,
 		T bottom,
 		T top);

 	/// Creates a frustum matrix with default handedness.
 	///
 	/// @param left
 	/// @param right
 	/// @param bottom
 	/// @param top
 	/// @param near
 	/// @param far
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> frustum(
 		T left,
 		T right,
 		T bottom,
 		T top,
 		T near,
 		T far);

 	/// Creates a left handed frustum matrix.
 	///
 	/// @param left
 	/// @param right
 	/// @param bottom
 	/// @param top
 	/// @param near
 	/// @param far
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> frustumLH(
 		T left,
 		T right,
 		T bottom,
 		T top,
 		T near,
 		T far);

 	/// Creates a right handed frustum matrix.
 	///
 	/// @param left
 	/// @param right
 	/// @param bottom
 	/// @param top
 	/// @param near
 	/// @param far
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> frustumRH(
 		T left,
 		T right,
 		T bottom,
 		T top,
 		T near,
 		T far);

 	/// Creates a matrix for a symetric perspective-view frustum based on the default handedness.
 	///
 	/// @param fovy Specifies the field of view angle in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> perspective(
 		T fovy,
 		T aspect,
 		T near,
 		T far);

 	/// Creates a matrix for a right handed, symetric perspective-view frustum.
 	///
 	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveRH(
 		T fovy,
 		T aspect,
 		T near,
 		T far);

 	/// Creates a matrix for a left handed, symetric perspective-view frustum.
 	///
 	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveLH(
 		T fovy,
 		T aspect,
 		T near,
 		T far);

 	/// Builds a perspective projection matrix based on a field of view and the default handedness.
 	///
 	/// @param fov Expressed in radians.
 	/// @param width
 	/// @param height
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFov(
 		T fov,
 		T width,
 		T height,
 		T near,
 		T far);

 	/// Builds a right handed perspective projection matrix based on a field of view.
 	///
 	/// @param fov Expressed in radians.
 	/// @param width
 	/// @param height
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFovRH(
 		T fov,
 		T width,
 		T height,
 		T near,
 		T far);

 	/// Builds a left handed perspective projection matrix based on a field of view.
 	///
 	/// @param fov Expressed in radians.
 	/// @param width
 	/// @param height
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFovLH(
 		T fov,
 		T width,
 		T height,
 		T near,
 		T far);

 	/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite with default handedness.
 	///
 	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspective(
 		T fovy, T aspect, T near);

 	/// Creates a matrix for a left handed, symmetric perspective-view frustum with far plane at infinite.
 	///
 	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspectiveLH(
 		T fovy, T aspect, T near);

 	/// Creates a matrix for a right handed, symmetric perspective-view frustum with far plane at infinite.
 	///
 	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspectiveRH(
 		T fovy, T aspect, T near);

 	/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite for graphics hardware that doesn't support depth clamping.
 	///
 	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> tweakedInfinitePerspective(
 		T fovy, T aspect, T near);

 	/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite for graphics hardware that doesn't support depth clamping.
 	///
 	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
 	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
 	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
 	/// @param ep
 	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
 	/// @see gtc_matrix_transform
 	template <typename T>
 	GLM_FUNC_DECL tmat4x4<T, defaultp> tweakedInfinitePerspective(
 		T fovy, T aspect, T near, T ep);

 	/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates.
 	///
 	/// @param obj Specify the object coordinates.
 	/// @param model Specifies the current modelview matrix
 	/// @param proj Specifies the current projection matrix
 	/// @param viewport Specifies the current viewport
 	/// @return Return the computed window coordinates.
 	/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
 	/// @tparam U Currently supported: Floating-point types and integer types.
 	/// @see gtc_matrix_transform
 	template <typename T, typename U, precision P>
 	GLM_FUNC_DECL tvec3<T, P> project(
 		tvec3<T, P> const & obj,
 		tmat4x4<T, P> const & model,
 		tmat4x4<T, P> const & proj,
 		tvec4<U, P> const & viewport);

 	/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates.
 	///
 	/// @param win Specify the window coordinates to be mapped.
 	/// @param model Specifies the modelview matrix
 	/// @param proj Specifies the projection matrix
 	/// @param viewport Specifies the viewport
 	/// @return Returns the computed object coordinates.
 	/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
 	/// @tparam U Currently supported: Floating-point types and integer types.
 	/// @see gtc_matrix_transform
 	template <typename T, typename U, precision P>
 	GLM_FUNC_DECL tvec3<T, P> unProject(
 		tvec3<T, P> const & win,
 		tmat4x4<T, P> const & model,
 		tmat4x4<T, P> const & proj,
 		tvec4<U, P> const & viewport);

 	/// Define a picking region
 	///
 	/// @param center
 	/// @param delta
 	/// @param viewport
 	/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
 	/// @tparam U Currently supported: Floating-point types and integer types.
 	/// @see gtc_matrix_transform
 	template <typename T, precision P, typename U>
 	GLM_FUNC_DECL tmat4x4<T, P> pickMatrix(
 		tvec2<T, P> const & center,
 		tvec2<T, P> const & delta,
 		tvec4<U, P> const & viewport);

 	/// Build a look at view matrix based on the default handedness.
 	///
 	/// @param eye Position of the camera
 	/// @param center Position where the camera is looking at
 	/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
 	/// @see gtc_matrix_transform
 	/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
 	template <typename T, precision P>
 	GLM_FUNC_DECL tmat4x4<T, P> lookAt(
 		tvec3<T, P> const & eye,
 		tvec3<T, P> const & center,
 		tvec3<T, P> const & up);

 	/// Build a right handed look at view matrix.
 	///
 	/// @param eye Position of the camera
 	/// @param center Position where the camera is looking at
 	/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
 	/// @see gtc_matrix_transform
 	/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
 	template <typename T, precision P>
 	GLM_FUNC_DECL tmat4x4<T, P> lookAtRH(
 		tvec3<T, P> const & eye,
 		tvec3<T, P> const & center,
 		tvec3<T, P> const & up);

 	/// Build a left handed look at view matrix.
 	///
 	/// @param eye Position of the camera
 	/// @param center Position where the camera is looking at
 	/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
 	/// @see gtc_matrix_transform
 	/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
 	template <typename T, precision P>
 	GLM_FUNC_DECL tmat4x4<T, P> lookAtLH(
 		tvec3<T, P> const & eye,
 		tvec3<T, P> const & center,
 		tvec3<T, P> const & up);

 	/// @}
 }//namespace glm

 #include "matrix_transform.inl"
	/// @ref gtc_matrix_transform
	/// @file glm/gtc/matrix_transform.hpp
	///
	/// @see core (dependence)
	/// @see gtx_transform
	/// @see gtx_transform2
	///
	/// @defgroup gtc_matrix_transform GLM_GTC_matrix_transform
	/// @ingroup gtc
	///
	/// @brief Defines functions that generate common transformation matrices.
	///
	/// The matrices generated by this extension use standard OpenGL fixed-function
	/// conventions. For example, the lookAt function generates a transform from world
	/// space into the specific eye space that the projective matrix functions
	/// (perspective, ortho, etc) are designed to expect. The OpenGL compatibility
	/// specifications defines the particular layout of this eye space.
	///
	/// <glm/gtc/matrix_transform.hpp> need to be included to use these functionalities.

	#pragma once

	// Dependencies
	#include "../mat4x4.hpp"
	#include "../vec2.hpp"
	#include "../vec3.hpp"
	#include "../vec4.hpp"
	#include "../gtc/constants.hpp"

	#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
	# pragma message("GLM: GLM_GTC_matrix_transform extension included")
	#endif

	namespace glm
	{
	/// @addtogroup gtc_matrix_transform
	/// @{

	/// Builds a translation 4 * 4 matrix created from a vector of 3 components.
	///
	/// @param m Input matrix multiplied by this translation matrix.
	/// @param v Coordinates of a translation vector.
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @code
	/// #include <glm/glm.hpp>
	/// #include <glm/gtc/matrix_transform.hpp>
	/// ...
	/// glm::mat4 m = glm::translate(glm::mat4(1.0f), glm::vec3(1.0f));
	/// // m[0][0] == 1.0f, m[0][1] == 0.0f, m[0][2] == 0.0f, m[0][3] == 0.0f
	/// // m[1][0] == 0.0f, m[1][1] == 1.0f, m[1][2] == 0.0f, m[1][3] == 0.0f
	/// // m[2][0] == 0.0f, m[2][1] == 0.0f, m[2][2] == 1.0f, m[2][3] == 0.0f
	/// // m[3][0] == 1.0f, m[3][1] == 1.0f, m[3][2] == 1.0f, m[3][3] == 1.0f
	/// @endcode
	/// @see gtc_matrix_transform
	/// @see - translate(tmat4x4<T, P> const & m, T x, T y, T z)
	/// @see - translate(tvec3<T, P> const & v)
	template <typename T, precision P>
	GLM_FUNC_DECL tmat4x4<T, P> translate(
	tmat4x4<T, P> const & m,
	tvec3<T, P> const & v);

	/// Builds a rotation 4 * 4 matrix created from an axis vector and an angle.
	///
	/// @param m Input matrix multiplied by this rotation matrix.
	/// @param angle Rotation angle expressed in radians.
	/// @param axis Rotation axis, recommended to be normalized.
	/// @tparam T Value type used to build the matrix. Supported: half, float or double.
	/// @see gtc_matrix_transform
	/// @see - rotate(tmat4x4<T, P> const & m, T angle, T x, T y, T z)
	/// @see - rotate(T angle, tvec3<T, P> const & v)
	template <typename T, precision P>
	GLM_FUNC_DECL tmat4x4<T, P> rotate(
	tmat4x4<T, P> const & m,
	T angle,
	tvec3<T, P> const & axis);

	/// Builds a scale 4 * 4 matrix created from 3 scalars.
	///
	/// @param m Input matrix multiplied by this scale matrix.
	/// @param v Ratio of scaling for each axis.
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	/// @see - scale(tmat4x4<T, P> const & m, T x, T y, T z)
	/// @see - scale(tvec3<T, P> const & v)
	template <typename T, precision P>
	GLM_FUNC_DECL tmat4x4<T, P> scale(
	tmat4x4<T, P> const & m,
	tvec3<T, P> const & v);

	/// Creates a matrix for an orthographic parallel viewing volume, using the default handedness.
	///
	/// @param left
	/// @param right
	/// @param bottom
	/// @param top
	/// @param zNear
	/// @param zFar
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> ortho(
	T left,
	T right,
	T bottom,
	T top,
	T zNear,
	T zFar);

	/// Creates a matrix for an orthographic parallel viewing volume, using left-handedness.
	///
	/// @param left
	/// @param right
	/// @param bottom
	/// @param top
	/// @param zNear
	/// @param zFar
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> orthoLH(
	T left,
	T right,
	T bottom,
	T top,
	T zNear,
	T zFar);

	/// Creates a matrix for an orthographic parallel viewing volume, using right-handedness.
	///
	/// @param left
	/// @param right
	/// @param bottom
	/// @param top
	/// @param zNear
	/// @param zFar
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> orthoRH(
	T left,
	T right,
	T bottom,
	T top,
	T zNear,
	T zFar);

	/// Creates a matrix for projecting two-dimensional coordinates onto the screen.
	///
	/// @param left
	/// @param right
	/// @param bottom
	/// @param top
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top, T const & zNear, T const & zFar)
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> ortho(
	T left,
	T right,
	T bottom,
	T top);

	/// Creates a frustum matrix with default handedness.
	///
	/// @param left
	/// @param right
	/// @param bottom
	/// @param top
	/// @param near
	/// @param far
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> frustum(
	T left,
	T right,
	T bottom,
	T top,
	T near,
	T far);

	/// Creates a left handed frustum matrix.
	///
	/// @param left
	/// @param right
	/// @param bottom
	/// @param top
	/// @param near
	/// @param far
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> frustumLH(
	T left,
	T right,
	T bottom,
	T top,
	T near,
	T far);

	/// Creates a right handed frustum matrix.
	///
	/// @param left
	/// @param right
	/// @param bottom
	/// @param top
	/// @param near
	/// @param far
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> frustumRH(
	T left,
	T right,
	T bottom,
	T top,
	T near,
	T far);

	/// Creates a matrix for a symetric perspective-view frustum based on the default handedness.
	///
	/// @param fovy Specifies the field of view angle in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> perspective(
	T fovy,
	T aspect,
	T near,
	T far);

	/// Creates a matrix for a right handed, symetric perspective-view frustum.
	///
	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveRH(
	T fovy,
	T aspect,
	T near,
	T far);

	/// Creates a matrix for a left handed, symetric perspective-view frustum.
	///
	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveLH(
	T fovy,
	T aspect,
	T near,
	T far);

	/// Builds a perspective projection matrix based on a field of view and the default handedness.
	///
	/// @param fov Expressed in radians.
	/// @param width
	/// @param height
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFov(
	T fov,
	T width,
	T height,
	T near,
	T far);

	/// Builds a right handed perspective projection matrix based on a field of view.
	///
	/// @param fov Expressed in radians.
	/// @param width
	/// @param height
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFovRH(
	T fov,
	T width,
	T height,
	T near,
	T far);

	/// Builds a left handed perspective projection matrix based on a field of view.
	///
	/// @param fov Expressed in radians.
	/// @param width
	/// @param height
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFovLH(
	T fov,
	T width,
	T height,
	T near,
	T far);

	/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite with default handedness.
	///
	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspective(
	T fovy, T aspect, T near);

	/// Creates a matrix for a left handed, symmetric perspective-view frustum with far plane at infinite.
	///
	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspectiveLH(
	T fovy, T aspect, T near);

	/// Creates a matrix for a right handed, symmetric perspective-view frustum with far plane at infinite.
	///
	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspectiveRH(
	T fovy, T aspect, T near);

	/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite for graphics hardware that doesn't support depth clamping.
	///
	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> tweakedInfinitePerspective(
	T fovy, T aspect, T near);

	/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite for graphics hardware that doesn't support depth clamping.
	///
	/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
	/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
	/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
	/// @param ep
	/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
	/// @see gtc_matrix_transform
	template <typename T>
	GLM_FUNC_DECL tmat4x4<T, defaultp> tweakedInfinitePerspective(
	T fovy, T aspect, T near, T ep);

	/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates.
	///
	/// @param obj Specify the object coordinates.
	/// @param model Specifies the current modelview matrix
	/// @param proj Specifies the current projection matrix
	/// @param viewport Specifies the current viewport
	/// @return Return the computed window coordinates.
	/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
	/// @tparam U Currently supported: Floating-point types and integer types.
	/// @see gtc_matrix_transform
	template <typename T, typename U, precision P>
	GLM_FUNC_DECL tvec3<T, P> project(
	tvec3<T, P> const & obj,
	tmat4x4<T, P> const & model,
	tmat4x4<T, P> const & proj,
	tvec4<U, P> const & viewport);

	/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates.
	///
	/// @param win Specify the window coordinates to be mapped.
	/// @param model Specifies the modelview matrix
	/// @param proj Specifies the projection matrix
	/// @param viewport Specifies the viewport
	/// @return Returns the computed object coordinates.
	/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
	/// @tparam U Currently supported: Floating-point types and integer types.
	/// @see gtc_matrix_transform
	template <typename T, typename U, precision P>
	GLM_FUNC_DECL tvec3<T, P> unProject(
	tvec3<T, P> const & win,
	tmat4x4<T, P> const & model,
	tmat4x4<T, P> const & proj,
	tvec4<U, P> const & viewport);

	/// Define a picking region
	///
	/// @param center
	/// @param delta
	/// @param viewport
	/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
	/// @tparam U Currently supported: Floating-point types and integer types.
	/// @see gtc_matrix_transform
	template <typename T, precision P, typename U>
	GLM_FUNC_DECL tmat4x4<T, P> pickMatrix(
	tvec2<T, P> const & center,
	tvec2<T, P> const & delta,
	tvec4<U, P> const & viewport);

	/// Build a look at view matrix based on the default handedness.
	///
	/// @param eye Position of the camera
	/// @param center Position where the camera is looking at
	/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
	/// @see gtc_matrix_transform
	/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
	template <typename T, precision P>
	GLM_FUNC_DECL tmat4x4<T, P> lookAt(
	tvec3<T, P> const & eye,
	tvec3<T, P> const & center,
	tvec3<T, P> const & up);

	/// Build a right handed look at view matrix.
	///
	/// @param eye Position of the camera
	/// @param center Position where the camera is looking at
	/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
	/// @see gtc_matrix_transform
	/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
	template <typename T, precision P>
	GLM_FUNC_DECL tmat4x4<T, P> lookAtRH(
	tvec3<T, P> const & eye,
	tvec3<T, P> const & center,
	tvec3<T, P> const & up);

	/// Build a left handed look at view matrix.
	///
	/// @param eye Position of the camera
	/// @param center Position where the camera is looking at
	/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
	/// @see gtc_matrix_transform
	/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
	template <typename T, precision P>
	GLM_FUNC_DECL tmat4x4<T, P> lookAtLH(
	tvec3<T, P> const & eye,
	tvec3<T, P> const & center,
	tvec3<T, P> const & up);

	/// @}
	}//namespace glm

	#include "matrix_transform.inl"