GRK/cw 4/dependencies/glm/gtc/matrix_transform.hpp

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/// @ref gtc_matrix_transform
/// @file glm/gtc/matrix_transform.hpp
///
/// @see core (dependence)
/// @see gtx_transform
/// @see gtx_transform2
///
/// @defgroup gtc_matrix_transform GLM_GTC_matrix_transform
/// @ingroup gtc
///
/// @brief Defines functions that generate common transformation matrices.
///
/// The matrices generated by this extension use standard OpenGL fixed-function
/// conventions. For example, the lookAt function generates a transform from world
/// space into the specific eye space that the projective matrix functions
/// (perspective, ortho, etc) are designed to expect. The OpenGL compatibility
/// specifications defines the particular layout of this eye space.
///
/// <glm/gtc/matrix_transform.hpp> need to be included to use these functionalities.
#pragma once
// Dependencies
#include "../mat4x4.hpp"
#include "../vec2.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include "../gtc/constants.hpp"
#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_matrix_transform extension included")
#endif
namespace glm
{
/// @addtogroup gtc_matrix_transform
/// @{
/// Builds a translation 4 * 4 matrix created from a vector of 3 components.
///
/// @param m Input matrix multiplied by this translation matrix.
/// @param v Coordinates of a translation vector.
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @code
/// #include <glm/glm.hpp>
/// #include <glm/gtc/matrix_transform.hpp>
/// ...
/// glm::mat4 m = glm::translate(glm::mat4(1.0f), glm::vec3(1.0f));
/// // m[0][0] == 1.0f, m[0][1] == 0.0f, m[0][2] == 0.0f, m[0][3] == 0.0f
/// // m[1][0] == 0.0f, m[1][1] == 1.0f, m[1][2] == 0.0f, m[1][3] == 0.0f
/// // m[2][0] == 0.0f, m[2][1] == 0.0f, m[2][2] == 1.0f, m[2][3] == 0.0f
/// // m[3][0] == 1.0f, m[3][1] == 1.0f, m[3][2] == 1.0f, m[3][3] == 1.0f
/// @endcode
/// @see gtc_matrix_transform
/// @see - translate(tmat4x4<T, P> const & m, T x, T y, T z)
/// @see - translate(tvec3<T, P> const & v)
template <typename T, precision P>
GLM_FUNC_DECL tmat4x4<T, P> translate(
tmat4x4<T, P> const & m,
tvec3<T, P> const & v);
/// Builds a rotation 4 * 4 matrix created from an axis vector and an angle.
///
/// @param m Input matrix multiplied by this rotation matrix.
/// @param angle Rotation angle expressed in radians.
/// @param axis Rotation axis, recommended to be normalized.
/// @tparam T Value type used to build the matrix. Supported: half, float or double.
/// @see gtc_matrix_transform
/// @see - rotate(tmat4x4<T, P> const & m, T angle, T x, T y, T z)
/// @see - rotate(T angle, tvec3<T, P> const & v)
template <typename T, precision P>
GLM_FUNC_DECL tmat4x4<T, P> rotate(
tmat4x4<T, P> const & m,
T angle,
tvec3<T, P> const & axis);
/// Builds a scale 4 * 4 matrix created from 3 scalars.
///
/// @param m Input matrix multiplied by this scale matrix.
/// @param v Ratio of scaling for each axis.
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
/// @see - scale(tmat4x4<T, P> const & m, T x, T y, T z)
/// @see - scale(tvec3<T, P> const & v)
template <typename T, precision P>
GLM_FUNC_DECL tmat4x4<T, P> scale(
tmat4x4<T, P> const & m,
tvec3<T, P> const & v);
/// Creates a matrix for an orthographic parallel viewing volume, using the default handedness.
///
/// @param left
/// @param right
/// @param bottom
/// @param top
/// @param zNear
/// @param zFar
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> ortho(
T left,
T right,
T bottom,
T top,
T zNear,
T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using left-handedness.
///
/// @param left
/// @param right
/// @param bottom
/// @param top
/// @param zNear
/// @param zFar
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> orthoLH(
T left,
T right,
T bottom,
T top,
T zNear,
T zFar);
/// Creates a matrix for an orthographic parallel viewing volume, using right-handedness.
///
/// @param left
/// @param right
/// @param bottom
/// @param top
/// @param zNear
/// @param zFar
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top)
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> orthoRH(
T left,
T right,
T bottom,
T top,
T zNear,
T zFar);
/// Creates a matrix for projecting two-dimensional coordinates onto the screen.
///
/// @param left
/// @param right
/// @param bottom
/// @param top
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
/// @see - glm::ortho(T const & left, T const & right, T const & bottom, T const & top, T const & zNear, T const & zFar)
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> ortho(
T left,
T right,
T bottom,
T top);
/// Creates a frustum matrix with default handedness.
///
/// @param left
/// @param right
/// @param bottom
/// @param top
/// @param near
/// @param far
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> frustum(
T left,
T right,
T bottom,
T top,
T near,
T far);
/// Creates a left handed frustum matrix.
///
/// @param left
/// @param right
/// @param bottom
/// @param top
/// @param near
/// @param far
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> frustumLH(
T left,
T right,
T bottom,
T top,
T near,
T far);
/// Creates a right handed frustum matrix.
///
/// @param left
/// @param right
/// @param bottom
/// @param top
/// @param near
/// @param far
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> frustumRH(
T left,
T right,
T bottom,
T top,
T near,
T far);
/// Creates a matrix for a symetric perspective-view frustum based on the default handedness.
///
/// @param fovy Specifies the field of view angle in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> perspective(
T fovy,
T aspect,
T near,
T far);
/// Creates a matrix for a right handed, symetric perspective-view frustum.
///
/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveRH(
T fovy,
T aspect,
T near,
T far);
/// Creates a matrix for a left handed, symetric perspective-view frustum.
///
/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveLH(
T fovy,
T aspect,
T near,
T far);
/// Builds a perspective projection matrix based on a field of view and the default handedness.
///
/// @param fov Expressed in radians.
/// @param width
/// @param height
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFov(
T fov,
T width,
T height,
T near,
T far);
/// Builds a right handed perspective projection matrix based on a field of view.
///
/// @param fov Expressed in radians.
/// @param width
/// @param height
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFovRH(
T fov,
T width,
T height,
T near,
T far);
/// Builds a left handed perspective projection matrix based on a field of view.
///
/// @param fov Expressed in radians.
/// @param width
/// @param height
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @param far Specifies the distance from the viewer to the far clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> perspectiveFovLH(
T fov,
T width,
T height,
T near,
T far);
/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite with default handedness.
///
/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspective(
T fovy, T aspect, T near);
/// Creates a matrix for a left handed, symmetric perspective-view frustum with far plane at infinite.
///
/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspectiveLH(
T fovy, T aspect, T near);
/// Creates a matrix for a right handed, symmetric perspective-view frustum with far plane at infinite.
///
/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> infinitePerspectiveRH(
T fovy, T aspect, T near);
/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite for graphics hardware that doesn't support depth clamping.
///
/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> tweakedInfinitePerspective(
T fovy, T aspect, T near);
/// Creates a matrix for a symmetric perspective-view frustum with far plane at infinite for graphics hardware that doesn't support depth clamping.
///
/// @param fovy Specifies the field of view angle, in degrees, in the y direction. Expressed in radians.
/// @param aspect Specifies the aspect ratio that determines the field of view in the x direction. The aspect ratio is the ratio of x (width) to y (height).
/// @param near Specifies the distance from the viewer to the near clipping plane (always positive).
/// @param ep
/// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
/// @see gtc_matrix_transform
template <typename T>
GLM_FUNC_DECL tmat4x4<T, defaultp> tweakedInfinitePerspective(
T fovy, T aspect, T near, T ep);
/// Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates.
///
/// @param obj Specify the object coordinates.
/// @param model Specifies the current modelview matrix
/// @param proj Specifies the current projection matrix
/// @param viewport Specifies the current viewport
/// @return Return the computed window coordinates.
/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
template <typename T, typename U, precision P>
GLM_FUNC_DECL tvec3<T, P> project(
tvec3<T, P> const & obj,
tmat4x4<T, P> const & model,
tmat4x4<T, P> const & proj,
tvec4<U, P> const & viewport);
/// Map the specified window coordinates (win.x, win.y, win.z) into object coordinates.
///
/// @param win Specify the window coordinates to be mapped.
/// @param model Specifies the modelview matrix
/// @param proj Specifies the projection matrix
/// @param viewport Specifies the viewport
/// @return Returns the computed object coordinates.
/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
template <typename T, typename U, precision P>
GLM_FUNC_DECL tvec3<T, P> unProject(
tvec3<T, P> const & win,
tmat4x4<T, P> const & model,
tmat4x4<T, P> const & proj,
tvec4<U, P> const & viewport);
/// Define a picking region
///
/// @param center
/// @param delta
/// @param viewport
/// @tparam T Native type used for the computation. Currently supported: half (not recommanded), float or double.
/// @tparam U Currently supported: Floating-point types and integer types.
/// @see gtc_matrix_transform
template <typename T, precision P, typename U>
GLM_FUNC_DECL tmat4x4<T, P> pickMatrix(
tvec2<T, P> const & center,
tvec2<T, P> const & delta,
tvec4<U, P> const & viewport);
/// Build a look at view matrix based on the default handedness.
///
/// @param eye Position of the camera
/// @param center Position where the camera is looking at
/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
/// @see gtc_matrix_transform
/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
template <typename T, precision P>
GLM_FUNC_DECL tmat4x4<T, P> lookAt(
tvec3<T, P> const & eye,
tvec3<T, P> const & center,
tvec3<T, P> const & up);
/// Build a right handed look at view matrix.
///
/// @param eye Position of the camera
/// @param center Position where the camera is looking at
/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
/// @see gtc_matrix_transform
/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
template <typename T, precision P>
GLM_FUNC_DECL tmat4x4<T, P> lookAtRH(
tvec3<T, P> const & eye,
tvec3<T, P> const & center,
tvec3<T, P> const & up);
/// Build a left handed look at view matrix.
///
/// @param eye Position of the camera
/// @param center Position where the camera is looking at
/// @param up Normalized up vector, how the camera is oriented. Typically (0, 0, 1)
/// @see gtc_matrix_transform
/// @see - frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal) frustum(T const & left, T const & right, T const & bottom, T const & top, T const & nearVal, T const & farVal)
template <typename T, precision P>
GLM_FUNC_DECL tmat4x4<T, P> lookAtLH(
tvec3<T, P> const & eye,
tvec3<T, P> const & center,
tvec3<T, P> const & up);
/// @}
}//namespace glm
#include "matrix_transform.inl"