///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 – 2015 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// furnished to do so, subject to the following conditions:
///
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
///
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/// By making use of the Software for military purposes, you choose to make
/// a Bunny unhappy.
///
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// THE SOFTWARE.
///
/// @ref gtc_matrix_transform
/// @file glm/gtc/matrix_transform.hpp
/// @date 2009-04-29 / 2011-05-16
/// @author Christophe Riccio
///
/// @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.
///
///
///////////////////////////////////////////////////////////////////////////////////
#pragma once
// Dependencies
#include “../mat4x4.hpp”
#include “../vec2.hpp”
#include “../vec3.hpp”
#include “../vec4.hpp”
#include “../gtc/constants.hpp”
#if(defined(GLM_MESSAGES) && !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
/// #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(tmat4x4
/// @see – translate(tvec3
template
GLM_FUNC_DECL tmat4x4
tmat4x4
tvec3
/// 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, recommanded to be normalized.
/// @tparam T Value type used to build the matrix. Supported: half, float or double.
/// @see gtc_matrix_transform
/// @see – rotate(tmat4x4
/// @see – rotate(T angle, tvec3
template
GLM_FUNC_DECL tmat4x4
tmat4x4
T angle,
tvec3
/// 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
/// @see – scale(tvec3
template
GLM_FUNC_DECL tmat4x4
tmat4x4
tvec3
/// Creates a matrix for an orthographic parallel viewing volume.
///
/// @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
GLM_FUNC_DECL tmat4x4
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
GLM_FUNC_DECL tmat4x4
T left,
T right,
T bottom,
T top);
/// Creates a 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
GLM_FUNC_DECL tmat4x4
T left,
T right,
T bottom,
T top,
T near,
T far);
/// Creates a matrix for a 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
GLM_FUNC_DECL tmat4x4
T fovy,
T aspect,
T near,
T far);
/// Builds a 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
GLM_FUNC_DECL tmat4x4
T fov,
T width,
T height,
T near,
T far);
/// Creates a matrix for a 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
GLM_FUNC_DECL tmat4x4
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
GLM_FUNC_DECL tmat4x4
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
GLM_FUNC_DECL tmat4x4
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
GLM_FUNC_DECL tvec3
tvec3
tmat4x4
tmat4x4
tvec4
/// 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
GLM_FUNC_DECL tvec3
tvec3
tmat4x4
tmat4x4
tvec4
/// 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
GLM_FUNC_DECL tmat4x4
tvec2
tvec2
tvec4
/// Build a 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 tmat4x4
tvec3
tvec3
tvec3
/// @}
}//namespace glm
#include “matrix_transform.inl”