/// @ref gtc_matrix_transform /// @file glm/gtc/matrix_transform.hpp /// /// @see core (dependence) /// @see gtx_transform /// @see gtx_transform2 /// /// @defgroup gtc_matrix_transform GLM_GTC_matrix_transform /// @ingroup gtc /// /// Include 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 "../mat4x4.hpp" #include "../vec2.hpp" #include "../vec3.hpp" #include "../vec4.hpp" #include "../gtc/constants.hpp" #if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED) # pragma message("GLM: GLM_GTC_matrix_transform extension included") #endif namespace glm { /// @addtogroup gtc_matrix_transform /// @{ /// Builds a translation 4 * 4 matrix created from a vector of 3 components. /// /// @param m Input matrix multiplied by this translation matrix. /// @param v Coordinates of a translation vector. /// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double. /// @code /// #include /// #include /// ... /// glm::mat4 m = glm::translate(glm::mat4(1.0f), glm::vec3(1.0f)); /// // m[0][0] == 1.0f, m[0][1] == 0.0f, m[0][2] == 0.0f, m[0][3] == 0.0f /// // m[1][0] == 0.0f, m[1][1] == 1.0f, m[1][2] == 0.0f, m[1][3] == 0.0f /// // m[2][0] == 0.0f, m[2][1] == 0.0f, m[2][2] == 1.0f, m[2][3] == 0.0f /// // m[3][0] == 1.0f, m[3][1] == 1.0f, m[3][2] == 1.0f, m[3][3] == 1.0f /// @endcode /// @see gtc_matrix_transform /// @see - translate(mat<4, 4, T, Q> const& m, T x, T y, T z) /// @see - translate(vec<3, T, Q> const& v) /// @see glTranslate man page template GLM_FUNC_DECL mat<4, 4, T, Q> translate( mat<4, 4, T, Q> const& m, vec<3, T, Q> const& v); /// Builds a rotation 4 * 4 matrix created from an axis vector and an angle. /// /// @param m Input matrix multiplied by this rotation matrix. /// @param angle Rotation angle expressed in radians. /// @param axis Rotation axis, recommended to be normalized. /// @tparam T Value type used to build the matrix. Supported: half, float or double. /// @see gtc_matrix_transform /// @see - rotate(mat<4, 4, T, Q> const& m, T angle, T x, T y, T z) /// @see - rotate(T angle, vec<3, T, Q> const& v) /// @see glRotate man page template GLM_FUNC_DECL mat<4, 4, T, Q> rotate( mat<4, 4, T, Q> const& m, T angle, vec<3, T, Q> const& axis); /// Builds a scale 4 * 4 matrix created from 3 scalars. /// /// @param m Input matrix multiplied by this scale matrix. /// @param v Ratio of scaling for each axis. /// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double. /// @see gtc_matrix_transform /// @see - scale(mat<4, 4, T, Q> const& m, T x, T y, T z) /// @see - scale(vec<3, T, Q> const& v) /// @see glScale man page template 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 gluOrtho2D man page template 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 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 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 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 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 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 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 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 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 glOrtho man page template 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 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 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 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 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 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 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 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 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 glFrustum man page template 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 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 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 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 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 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 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 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 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 gluPerspective man page template 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 gluProject man page template 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 gluProject man page template 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 gluProject man page template 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 gluUnProject man page template 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 gluUnProject man page template 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 gluUnProject man page template 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 gluPickMatrix man page template 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 /// @param center Position where the camera is looking at /// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1) /// @see gtc_matrix_transform /// @see - frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) template GLM_FUNC_DECL mat<4, 4, T, Q> lookAtRH( vec<3, T, Q> const& eye, vec<3, T, Q> const& center, vec<3, T, Q> const& up); /// Build a left handed look at view matrix. /// /// @param eye Position of the camera /// @param center Position where the camera is looking at /// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1) /// @see gtc_matrix_transform /// @see - frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) template GLM_FUNC_DECL mat<4, 4, T, Q> lookAtLH( vec<3, T, Q> const& eye, vec<3, T, Q> const& center, vec<3, T, Q> const& up); /// Build a look at view matrix based on the default handedness. /// /// @param eye Position of the camera /// @param center Position where the camera is looking at /// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1) /// @see gtc_matrix_transform /// @see - frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) frustum(T const& left, T const& right, T const& bottom, T const& top, T const& nearVal, T const& farVal) /// @see gluLookAt man page template GLM_FUNC_DECL mat<4, 4, T, Q> lookAt( vec<3, T, Q> const& eye, vec<3, T, Q> const& center, vec<3, T, Q> const& up); /// @} }//namespace glm #include "matrix_transform.inl"