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Sliced matrix transform extension

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Christophe Riccio
2018-08-14 00:10:50 +02:00
parent 15fe4e84cc
commit f905aecd23
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glm/ext/matrix_clip_space.hpp Normal file
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/// @ref ext_matrix_clip_space
/// @file glm/ext/matrix_clip_space.hpp
///
/// @see core (dependence)
///
/// @defgroup ext_matrix_clip_space GLM_EXT_matrix_clip_space
/// @ingroup ext
///
/// Include <glm/ext/matrix_clip_space.hpp> to use the features of this extension.
///
/// 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.
#pragma once
// Dependencies
#include "../gtc/constants.hpp"
#include "../geometric.hpp"
#include "../trigonometric.hpp"
#include "../matrix.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_EXT_matrix_clip_space extension included")
#endif
namespace glm
{
/// @addtogroup ext_matrix_clip_space
/// @{
/// Creates a matrix for projecting two-dimensional coordinates onto the screen.
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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)
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluOrtho2D.xml">gluOrtho2D man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> ortho(
T left, T right, T bottom, T top);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoLH_ZO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoLH_NO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoRH_ZO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoRH_NO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoZO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoNO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, 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-handed coordinates.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoRH(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
/// @see - glm::ortho(T const& left, T const& right, T const& bottom, T const& top)
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glOrtho.xml">glOrtho man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> ortho(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a left handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumLH_ZO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a left handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumLH_NO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a right handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumRH_ZO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a right handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumRH_NO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a frustum matrix using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumZO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a frustum matrix using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumNO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a left handed frustum matrix.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumLH(
T left, T right, T bottom, T top, T near, T far);
/// Creates a right handed frustum matrix.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumRH(
T left, T right, T bottom, T top, T near, T far);
/// Creates a frustum matrix with default handedness, using the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glFrustum.xml">glFrustum man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustum(
T left, T right, T bottom, T top, T near, T far);
/// Creates a matrix for a right handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveRH_ZO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a right handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveRH_NO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a left handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveLH_ZO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a left handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveLH_NO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a symetric perspective-view frustum using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveZO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a symetric perspective-view frustum using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveNO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a right handed, symetric perspective-view frustum.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveRH(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a left handed, symetric perspective-view frustum.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveLH(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a symetric perspective-view frustum based on the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluPerspective.xml">gluPerspective man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspective(
T fovy, T aspect, T near, T far);
/// Builds a perspective projection matrix based on a field of view using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovRH_ZO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovRH_NO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovLH_ZO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovLH_NO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovZO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovNO(
T fov, T width, T height, T near, T far);
/// Builds a right handed perspective projection matrix based on a field of view.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, 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.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovLH(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view and the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFov(
T fov, T width, T height, T near, T far);
/// 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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, 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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> infinitePerspectiveRH(
T fovy, T aspect, T near);
/// 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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> infinitePerspective(
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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, 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 Epsilon
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> tweakedInfinitePerspective(
T fovy, T aspect, T near, T ep);
/// @}
}//namespace glm
#include "matrix_clip_space.inl"

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namespace glm
{
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top)
{
mat<4, 4, T, defaultp> Result(static_cast<T>(1));
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = - static_cast<T>(1);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_ZO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = static_cast<T>(1) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - zNear / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_NO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = static_cast<T>(2) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - (zFar + zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_ZO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = - static_cast<T>(1) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - zNear / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_NO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = - static_cast<T>(2) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - (zFar + zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoZO(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return orthoLH_ZO(left, right, bottom, top, zNear, zFar);
else
return orthoRH_ZO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoNO(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return orthoLH_NO(left, right, bottom, top, zNear, zFar);
else
return orthoRH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return orthoLH_ZO(left, right, bottom, top, zNear, zFar);
else
return orthoLH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return orthoRH_ZO(left, right, bottom, top, zNear, zFar);
else
return orthoRH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return orthoLH_ZO(left, right, bottom, top, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return orthoLH_NO(left, right, bottom, top, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return orthoRH_ZO(left, right, bottom, top, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return orthoRH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = farVal / (farVal - nearVal);
Result[2][3] = static_cast<T>(1);
Result[3][2] = -(farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_NO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = (farVal + nearVal) / (farVal - nearVal);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = farVal / (nearVal - farVal);
Result[2][3] = static_cast<T>(-1);
Result[3][2] = -(farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_NO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = - (farVal + nearVal) / (farVal - nearVal);
Result[2][3] = static_cast<T>(-1);
Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumZO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return frustumLH_ZO(left, right, bottom, top, nearVal, farVal);
else
return frustumRH_ZO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumNO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return frustumLH_NO(left, right, bottom, top, nearVal, farVal);
else
return frustumRH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return frustumLH_ZO(left, right, bottom, top, nearVal, farVal);
else
return frustumLH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return frustumRH_ZO(left, right, bottom, top, nearVal, farVal);
else
return frustumRH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustum(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return frustumLH_ZO(left, right, bottom, top, nearVal, farVal);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return frustumLH_NO(left, right, bottom, top, nearVal, farVal);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return frustumRH_ZO(left, right, bottom, top, nearVal, farVal);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return frustumRH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_ZO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = zFar / (zNear - zFar);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_NO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = - (zFar + zNear) / (zFar - zNear);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_ZO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = zFar / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_NO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = (zFar + zNear) / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveZO(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveLH_ZO(fovy, aspect, zNear, zFar);
else
return perspectiveRH_ZO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveNO(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveLH_NO(fovy, aspect, zNear, zFar);
else
return perspectiveRH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveLH_ZO(fovy, aspect, zNear, zFar);
else
return perspectiveLH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveRH_ZO(fovy, aspect, zNear, zFar);
else
return perspectiveRH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspective(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return perspectiveLH_ZO(fovy, aspect, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return perspectiveLH_NO(fovy, aspect, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return perspectiveRH_ZO(fovy, aspect, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return perspectiveRH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_ZO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = zFar / (zNear - zFar);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_NO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = - (zFar + zNear) / (zFar - zNear);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_ZO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = zFar / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_NO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = (zFar + zNear) / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovZO(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveFovLH_ZO(fov, width, height, zNear, zFar);
else
return perspectiveFovRH_ZO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovNO(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveFovLH_NO(fov, width, height, zNear, zFar);
else
return perspectiveFovRH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveFovLH_ZO(fov, width, height, zNear, zFar);
else
return perspectiveFovLH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveFovRH_ZO(fov, width, height, zNear, zFar);
else
return perspectiveFovRH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFov(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return perspectiveFovLH_ZO(fov, width, height, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return perspectiveFovLH_NO(fov, width, height, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return perspectiveFovRH_ZO(fov, width, height, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return perspectiveFovRH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveRH(T fovy, T aspect, T zNear)
{
T const range = tan(fovy / static_cast<T>(2)) * zNear;
T const left = -range * aspect;
T const right = range * aspect;
T const bottom = -range;
T const top = range;
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = (static_cast<T>(2) * zNear) / (right - left);
Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom);
Result[2][2] = - static_cast<T>(1);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = - static_cast<T>(2) * zNear;
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveLH(T fovy, T aspect, T zNear)
{
T const range = tan(fovy / static_cast<T>(2)) * zNear;
T const left = -range * aspect;
T const right = range * aspect;
T const bottom = -range;
T const top = range;
mat<4, 4, T, defaultp> Result(T(0));
Result[0][0] = (static_cast<T>(2) * zNear) / (right - left);
Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom);
Result[2][2] = static_cast<T>(1);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - static_cast<T>(2) * zNear;
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspective(T fovy, T aspect, T zNear)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return infinitePerspectiveLH(fovy, aspect, zNear);
else
return infinitePerspectiveRH(fovy, aspect, zNear);
}
// Infinite projection matrix: http://www.terathon.com/gdc07_lengyel.pdf
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear, T ep)
{
T const range = tan(fovy / static_cast<T>(2)) * zNear;
T const left = -range * aspect;
T const right = range * aspect;
T const bottom = -range;
T const top = range;
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = (static_cast<T>(2) * zNear) / (right - left);
Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom);
Result[2][2] = ep - static_cast<T>(1);
Result[2][3] = static_cast<T>(-1);
Result[3][2] = (ep - static_cast<T>(2)) * zNear;
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear)
{
return tweakedInfinitePerspective(fovy, aspect, zNear, epsilon<T>());
}
}//namespace glm

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/// @ref ext_matrix_projection
/// @file glm/ext/matrix_projection.hpp
///
/// @see core (dependence)
///
/// @defgroup ext_matrix_projection GLM_EXT_matrix_projection
/// @ingroup ext
///
/// Include <glm/ext/matrix_projection.hpp> to use the features of this extension.
///
/// 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.
#pragma once
// Dependencies
#include "../gtc/constants.hpp"
#include "../geometric.hpp"
#include "../trigonometric.hpp"
#include "../matrix.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_EXT_matrix_projection extension included")
#endif
namespace glm
{
/// @addtogroup ext_matrix_projection
/// @{
/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluProject.xml">gluProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> projectZO(
vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluProject.xml">gluProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> projectNO(
vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates using default near and far clip planes definition.
/// To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluProject.xml">gluProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> project(
vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluUnProject.xml">gluUnProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> unProjectZO(
vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluUnProject.xml">gluUnProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> unProjectNO(
vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates using default near and far clip planes definition.
/// To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluUnProject.xml">gluUnProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> unProject(
vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Define a picking region
///
/// @param center Specify the center of a picking region in window coordinates.
/// @param delta Specify the width and height, respectively, of the picking region in window coordinates.
/// @param viewport Rendering viewport
/// @tparam T Native type used for the computation. Currently supported: half (not recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluPickMatrix.xml">gluPickMatrix man page</a>
template<typename T, qualifier Q, typename U>
GLM_FUNC_DECL mat<4, 4, T, Q> pickMatrix(
vec<2, T, Q> const& center, vec<2, T, Q> const& delta, vec<4, U, Q> const& viewport);
/// @}
}//namespace glm
#include "matrix_projection.inl"

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namespace glm
{
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> projectZO(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
vec<4, T, Q> tmp = vec<4, T, Q>(obj, static_cast<T>(1));
tmp = model * tmp;
tmp = proj * tmp;
tmp /= tmp.w;
tmp.x = tmp.x * static_cast<T>(0.5) + static_cast<T>(0.5);
tmp.y = tmp.y * static_cast<T>(0.5) + static_cast<T>(0.5);
tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]);
tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]);
return vec<3, T, Q>(tmp);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> projectNO(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
vec<4, T, Q> tmp = vec<4, T, Q>(obj, static_cast<T>(1));
tmp = model * tmp;
tmp = proj * tmp;
tmp /= tmp.w;
tmp = tmp * static_cast<T>(0.5) + static_cast<T>(0.5);
tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]);
tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]);
return vec<3, T, Q>(tmp);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> project(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return projectZO(obj, model, proj, viewport);
else
return projectNO(obj, model, proj, viewport);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> unProjectZO(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
mat<4, 4, T, Q> Inverse = inverse(proj * model);
vec<4, T, Q> tmp = vec<4, T, Q>(win, T(1));
tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]);
tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]);
tmp.x = tmp.x * static_cast<T>(2) - static_cast<T>(1);
tmp.y = tmp.y * static_cast<T>(2) - static_cast<T>(1);
vec<4, T, Q> obj = Inverse * tmp;
obj /= obj.w;
return vec<3, T, Q>(obj);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> unProjectNO(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
mat<4, 4, T, Q> Inverse = inverse(proj * model);
vec<4, T, Q> tmp = vec<4, T, Q>(win, T(1));
tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]);
tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]);
tmp = tmp * static_cast<T>(2) - static_cast<T>(1);
vec<4, T, Q> obj = Inverse * tmp;
obj /= obj.w;
return vec<3, T, Q>(obj);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> unProject(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return unProjectZO(win, model, proj, viewport);
else
return unProjectNO(win, model, proj, viewport);
}
template<typename T, qualifier Q, typename U>
GLM_FUNC_QUALIFIER mat<4, 4, T, Q> pickMatrix(vec<2, T, Q> const& center, vec<2, T, Q> const& delta, vec<4, U, Q> const& viewport)
{
assert(delta.x > static_cast<T>(0) && delta.y > static_cast<T>(0));
mat<4, 4, T, Q> Result(static_cast<T>(1));
if(!(delta.x > static_cast<T>(0) && delta.y > static_cast<T>(0)))
return Result; // Error
vec<3, T, Q> Temp(
(static_cast<T>(viewport[2]) - static_cast<T>(2) * (center.x - static_cast<T>(viewport[0]))) / delta.x,
(static_cast<T>(viewport[3]) - static_cast<T>(2) * (center.y - static_cast<T>(viewport[1]))) / delta.y,
static_cast<T>(0));
// Translate and scale the picked region to the entire window
Result = translate(Result, Temp);
return scale(Result, vec<3, T, Q>(static_cast<T>(viewport[2]) / delta.x, static_cast<T>(viewport[3]) / delta.y, static_cast<T>(1)));
}
}//namespace glm

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@@ -87,607 +87,6 @@ namespace glm
GLM_FUNC_DECL mat<4, 4, T, Q> scale(
mat<4, 4, T, Q> const& m, vec<3, T, Q> const& v);
/// Creates a matrix for projecting two-dimensional coordinates onto the screen.
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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)
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluOrtho2D.xml">gluOrtho2D man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> ortho(
T left, T right, T bottom, T top);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoLH_ZO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoLH_NO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoRH_ZO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoRH_NO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoZO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoNO(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handed coordinates.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, 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-handed coordinates.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), 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 mat<4, 4, T, defaultp> orthoRH(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
/// @see - glm::ortho(T const& left, T const& right, T const& bottom, T const& top)
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glOrtho.xml">glOrtho man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> ortho(
T left, T right, T bottom, T top, T zNear, T zFar);
/// Creates a left handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumLH_ZO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a left handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumLH_NO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a right handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumRH_ZO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a right handed frustum matrix.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumRH_NO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a frustum matrix using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumZO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a frustum matrix using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumNO(
T left, T right, T bottom, T top, T near, T far);
/// Creates a left handed frustum matrix.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumLH(
T left, T right, T bottom, T top, T near, T far);
/// Creates a right handed frustum matrix.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustumRH(
T left, T right, T bottom, T top, T near, T far);
/// Creates a frustum matrix with default handedness, using the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glFrustum.xml">glFrustum man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> frustum(
T left, T right, T bottom, T top, T near, T far);
/// Creates a matrix for a right handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveRH_ZO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a right handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveRH_NO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a left handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveLH_ZO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a left handed, symetric perspective-view frustum.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveLH_NO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a symetric perspective-view frustum using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveZO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a symetric perspective-view frustum using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveNO(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a right handed, symetric perspective-view frustum.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveRH(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a left handed, symetric perspective-view frustum.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveLH(
T fovy, T aspect, T near, T far);
/// Creates a matrix for a symetric perspective-view frustum based on the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluPerspective.xml">gluPerspective man page</a>
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspective(
T fovy, T aspect, T near, T far);
/// Builds a perspective projection matrix based on a field of view using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovRH_ZO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using right-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovRH_NO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovLH_ZO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovLH_NO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovZO(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view using left-handed coordinates if GLM_FORCE_LEFT_HANDED if defined or right-handed coordinates otherwise.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovNO(
T fov, T width, T height, T near, T far);
/// Builds a right handed perspective projection matrix based on a field of view.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, 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.
/// If GLM_FORCE_DEPTH_ZERO_TO_ONE is defined, the near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
/// Otherwise, the near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFovLH(
T fov, T width, T height, T near, T far);
/// Builds a perspective projection matrix based on a field of view and the default handedness and default near and far clip planes definition.
/// To change default handedness use GLM_FORCE_LEFT_HANDED. To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @param fov Expressed in radians.
/// @param width Width of the viewport
/// @param height Height of the viewport
/// @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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> perspectiveFov(
T fov, T width, T height, T near, T far);
/// 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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, 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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> infinitePerspectiveRH(
T fovy, T aspect, T near);
/// 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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> infinitePerspective(
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 recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, 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 Epsilon
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
/// @see gtc_matrix_transform
template<typename T>
GLM_FUNC_DECL mat<4, 4, 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.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluProject.xml">gluProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> projectZO(
vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluProject.xml">gluProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> projectNO(
vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates using default near and far clip planes definition.
/// To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluProject.xml">gluProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> project(
vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of 0 and +1 respectively. (Direct3D clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluUnProject.xml">gluUnProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> unProjectZO(
vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates.
/// The near and far clip planes correspond to z normalized device coordinates of -1 and +1 respectively. (OpenGL clip volume definition)
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluUnProject.xml">gluUnProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> unProjectNO(
vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates using default near and far clip planes definition.
/// To change default near and far clip planes definition use GLM_FORCE_DEPTH_ZERO_TO_ONE.
///
/// @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 recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluUnProject.xml">gluUnProject man page</a>
template<typename T, typename U, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> unProject(
vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport);
/// Define a picking region
///
/// @param center Specify the center of a picking region in window coordinates.
/// @param delta Specify the width and height, respectively, of the picking region in window coordinates.
/// @param viewport Rendering viewport
/// @tparam T Native type used for the computation. Currently supported: half (not recommended), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
/// @see <a href="https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluPickMatrix.xml">gluPickMatrix man page</a>
template<typename T, qualifier Q, typename U>
GLM_FUNC_DECL mat<4, 4, T, Q> pickMatrix(
vec<2, T, Q> const& center, vec<2, T, Q> const& delta, vec<4, U, Q> const& viewport);
/// Build a right handed look at view matrix.
///
/// @param eye Position of the camera

634
glm/ext/matrix_transform.inl
View File

@@ -95,640 +95,6 @@ namespace glm
return m * Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top)
{
mat<4, 4, T, defaultp> Result(static_cast<T>(1));
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = - static_cast<T>(1);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_ZO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = static_cast<T>(1) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - zNear / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_NO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = static_cast<T>(2) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - (zFar + zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_ZO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = - static_cast<T>(1) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - zNear / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_NO(T left, T right, T bottom, T top, T zNear, T zFar)
{
mat<4, 4, T, defaultp> Result(1);
Result[0][0] = static_cast<T>(2) / (right - left);
Result[1][1] = static_cast<T>(2) / (top - bottom);
Result[2][2] = - static_cast<T>(2) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - (zFar + zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoZO(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return orthoLH_ZO(left, right, bottom, top, zNear, zFar);
else
return orthoRH_ZO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoNO(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return orthoLH_NO(left, right, bottom, top, zNear, zFar);
else
return orthoRH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return orthoLH_ZO(left, right, bottom, top, zNear, zFar);
else
return orthoLH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return orthoRH_ZO(left, right, bottom, top, zNear, zFar);
else
return orthoRH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return orthoLH_ZO(left, right, bottom, top, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return orthoLH_NO(left, right, bottom, top, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return orthoRH_ZO(left, right, bottom, top, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return orthoRH_NO(left, right, bottom, top, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = farVal / (farVal - nearVal);
Result[2][3] = static_cast<T>(1);
Result[3][2] = -(farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_NO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = (farVal + nearVal) / (farVal - nearVal);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = farVal / (nearVal - farVal);
Result[2][3] = static_cast<T>(-1);
Result[3][2] = -(farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_NO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
mat<4, 4, T, defaultp> Result(0);
Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left);
Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = - (farVal + nearVal) / (farVal - nearVal);
Result[2][3] = static_cast<T>(-1);
Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumZO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return frustumLH_ZO(left, right, bottom, top, nearVal, farVal);
else
return frustumRH_ZO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumNO(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return frustumLH_NO(left, right, bottom, top, nearVal, farVal);
else
return frustumRH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return frustumLH_ZO(left, right, bottom, top, nearVal, farVal);
else
return frustumLH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return frustumRH_ZO(left, right, bottom, top, nearVal, farVal);
else
return frustumRH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustum(T left, T right, T bottom, T top, T nearVal, T farVal)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return frustumLH_ZO(left, right, bottom, top, nearVal, farVal);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return frustumLH_NO(left, right, bottom, top, nearVal, farVal);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return frustumRH_ZO(left, right, bottom, top, nearVal, farVal);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return frustumRH_NO(left, right, bottom, top, nearVal, farVal);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_ZO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = zFar / (zNear - zFar);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_NO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = - (zFar + zNear) / (zFar - zNear);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_ZO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = zFar / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_NO(T fovy, T aspect, T zNear, T zFar)
{
assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0));
T const tanHalfFovy = tan(fovy / static_cast<T>(2));
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy);
Result[1][1] = static_cast<T>(1) / (tanHalfFovy);
Result[2][2] = (zFar + zNear) / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveZO(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveLH_ZO(fovy, aspect, zNear, zFar);
else
return perspectiveRH_ZO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveNO(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveLH_NO(fovy, aspect, zNear, zFar);
else
return perspectiveRH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveLH_ZO(fovy, aspect, zNear, zFar);
else
return perspectiveLH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveRH_ZO(fovy, aspect, zNear, zFar);
else
return perspectiveRH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspective(T fovy, T aspect, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return perspectiveLH_ZO(fovy, aspect, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return perspectiveLH_NO(fovy, aspect, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return perspectiveRH_ZO(fovy, aspect, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return perspectiveRH_NO(fovy, aspect, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_ZO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = zFar / (zNear - zFar);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_NO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = - (zFar + zNear) / (zFar - zNear);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_ZO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = zFar / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = -(zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_NO(T fov, T width, T height, T zNear, T zFar)
{
assert(width > static_cast<T>(0));
assert(height > static_cast<T>(0));
assert(fov > static_cast<T>(0));
T const rad = fov;
T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad);
T const w = h * height / width; ///todo max(width , Height) / min(width , Height)?
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = (zFar + zNear) / (zFar - zNear);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovZO(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveFovLH_ZO(fov, width, height, zNear, zFar);
else
return perspectiveFovRH_ZO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovNO(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return perspectiveFovLH_NO(fov, width, height, zNear, zFar);
else
return perspectiveFovRH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveFovLH_ZO(fov, width, height, zNear, zFar);
else
return perspectiveFovLH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return perspectiveFovRH_ZO(fov, width, height, zNear, zFar);
else
return perspectiveFovRH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFov(T fov, T width, T height, T zNear, T zFar)
{
if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO)
return perspectiveFovLH_ZO(fov, width, height, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO)
return perspectiveFovLH_NO(fov, width, height, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO)
return perspectiveFovRH_ZO(fov, width, height, zNear, zFar);
else if(GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO)
return perspectiveFovRH_NO(fov, width, height, zNear, zFar);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveRH(T fovy, T aspect, T zNear)
{
T const range = tan(fovy / static_cast<T>(2)) * zNear;
T const left = -range * aspect;
T const right = range * aspect;
T const bottom = -range;
T const top = range;
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = (static_cast<T>(2) * zNear) / (right - left);
Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom);
Result[2][2] = - static_cast<T>(1);
Result[2][3] = - static_cast<T>(1);
Result[3][2] = - static_cast<T>(2) * zNear;
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveLH(T fovy, T aspect, T zNear)
{
T const range = tan(fovy / static_cast<T>(2)) * zNear;
T const left = -range * aspect;
T const right = range * aspect;
T const bottom = -range;
T const top = range;
mat<4, 4, T, defaultp> Result(T(0));
Result[0][0] = (static_cast<T>(2) * zNear) / (right - left);
Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom);
Result[2][2] = static_cast<T>(1);
Result[2][3] = static_cast<T>(1);
Result[3][2] = - static_cast<T>(2) * zNear;
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspective(T fovy, T aspect, T zNear)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT)
return infinitePerspectiveLH(fovy, aspect, zNear);
else
return infinitePerspectiveRH(fovy, aspect, zNear);
}
// Infinite projection matrix: http://www.terathon.com/gdc07_lengyel.pdf
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear, T ep)
{
T const range = tan(fovy / static_cast<T>(2)) * zNear;
T const left = -range * aspect;
T const right = range * aspect;
T const bottom = -range;
T const top = range;
mat<4, 4, T, defaultp> Result(static_cast<T>(0));
Result[0][0] = (static_cast<T>(2) * zNear) / (right - left);
Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom);
Result[2][2] = ep - static_cast<T>(1);
Result[2][3] = static_cast<T>(-1);
Result[3][2] = (ep - static_cast<T>(2)) * zNear;
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear)
{
return tweakedInfinitePerspective(fovy, aspect, zNear, epsilon<T>());
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> projectZO(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
vec<4, T, Q> tmp = vec<4, T, Q>(obj, static_cast<T>(1));
tmp = model * tmp;
tmp = proj * tmp;
tmp /= tmp.w;
tmp.x = tmp.x * static_cast<T>(0.5) + static_cast<T>(0.5);
tmp.y = tmp.y * static_cast<T>(0.5) + static_cast<T>(0.5);
tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]);
tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]);
return vec<3, T, Q>(tmp);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> projectNO(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
vec<4, T, Q> tmp = vec<4, T, Q>(obj, static_cast<T>(1));
tmp = model * tmp;
tmp = proj * tmp;
tmp /= tmp.w;
tmp = tmp * static_cast<T>(0.5) + static_cast<T>(0.5);
tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]);
tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]);
return vec<3, T, Q>(tmp);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> project(vec<3, T, Q> const& obj, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return projectZO(obj, model, proj, viewport);
else
return projectNO(obj, model, proj, viewport);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> unProjectZO(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
mat<4, 4, T, Q> Inverse = inverse(proj * model);
vec<4, T, Q> tmp = vec<4, T, Q>(win, T(1));
tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]);
tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]);
tmp.x = tmp.x * static_cast<T>(2) - static_cast<T>(1);
tmp.y = tmp.y * static_cast<T>(2) - static_cast<T>(1);
vec<4, T, Q> obj = Inverse * tmp;
obj /= obj.w;
return vec<3, T, Q>(obj);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> unProjectNO(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
mat<4, 4, T, Q> Inverse = inverse(proj * model);
vec<4, T, Q> tmp = vec<4, T, Q>(win, T(1));
tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]);
tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]);
tmp = tmp * static_cast<T>(2) - static_cast<T>(1);
vec<4, T, Q> obj = Inverse * tmp;
obj /= obj.w;
return vec<3, T, Q>(obj);
}
template<typename T, typename U, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> unProject(vec<3, T, Q> const& win, mat<4, 4, T, Q> const& model, mat<4, 4, T, Q> const& proj, vec<4, U, Q> const& viewport)
{
if(GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT)
return unProjectZO(win, model, proj, viewport);
else
return unProjectNO(win, model, proj, viewport);
}
template<typename T, qualifier Q, typename U>
GLM_FUNC_QUALIFIER mat<4, 4, T, Q> pickMatrix(vec<2, T, Q> const& center, vec<2, T, Q> const& delta, vec<4, U, Q> const& viewport)
{
assert(delta.x > static_cast<T>(0) && delta.y > static_cast<T>(0));
mat<4, 4, T, Q> Result(static_cast<T>(1));
if(!(delta.x > static_cast<T>(0) && delta.y > static_cast<T>(0)))
return Result; // Error
vec<3, T, Q> Temp(
(static_cast<T>(viewport[2]) - static_cast<T>(2) * (center.x - static_cast<T>(viewport[0]))) / delta.x,
(static_cast<T>(viewport[3]) - static_cast<T>(2) * (center.y - static_cast<T>(viewport[1]))) / delta.y,
static_cast<T>(0));
// Translate and scale the picked region to the entire window
Result = translate(Result, Temp);
return scale(Result, vec<3, T, Q>(static_cast<T>(viewport[2]) / delta.x, static_cast<T>(viewport[3]) / delta.y, static_cast<T>(1)));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<4, 4, T, Q> lookAtRH(vec<3, T, Q> const& eye, vec<3, T, Q> const& center, vec<3, T, Q> const& up)
{

2
glm/gtc/matrix_transform.hpp
View File

@@ -25,6 +25,8 @@
#include "../vec2.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include "../ext/matrix_projection.hpp"
#include "../ext/matrix_clip_space.hpp"
#include "../ext/matrix_transform.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)