7ff82528f3
We had 4 near identical functions, those now all call buildProjectionMatrixPerspectiveFov They were a bit hard to check for errors otherwise. Especially with the tiny confusing non-differences like one using (a-b) and other -(b-a) Also new one uses matrix template parameter in case someone needs for example a high-precision matrix. git-svn-id: svn://svn.code.sf.net/p/irrlicht/code/trunk@6530 dfc29bdd-3216-0410-991c-e03cc46cb475
2316 lines
69 KiB
C++
2316 lines
69 KiB
C++
// Copyright (C) 2002-2012 Nikolaus Gebhardt
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// This file is part of the "Irrlicht Engine".
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// For conditions of distribution and use, see copyright notice in irrlicht.h
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#ifndef IRR_MATRIX_H_INCLUDED
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#define IRR_MATRIX_H_INCLUDED
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#include "irrMath.h"
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#include "vector3d.h"
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#include "vector2d.h"
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#include "plane3d.h"
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#include "aabbox3d.h"
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#include "rect.h"
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#include "irrString.h"
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// enable this to keep track of changes to the matrix
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// and make simpler identity check for seldom changing matrices
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// otherwise identity check will always compare the elements
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//#define USE_MATRIX_TEST
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// this is only for debugging purposes
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//#define USE_MATRIX_TEST_DEBUG
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#if defined( USE_MATRIX_TEST_DEBUG )
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struct MatrixTest
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{
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MatrixTest () : ID(0), Calls(0) {}
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char buf[256];
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int Calls;
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int ID;
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};
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static MatrixTest MTest;
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#endif
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namespace irr
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{
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namespace core
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{
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//! 4x4 matrix. Mostly used as transformation matrix for 3d calculations.
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/** The matrix is a D3D style matrix, row major with translations in the 4th row. */
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template <class T>
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class CMatrix4
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{
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public:
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//! Constructor Flags
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enum eConstructor
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{
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EM4CONST_NOTHING = 0,
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EM4CONST_COPY,
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EM4CONST_IDENTITY,
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EM4CONST_TRANSPOSED,
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EM4CONST_INVERSE,
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EM4CONST_INVERSE_TRANSPOSED
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};
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//! Default constructor
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/** \param constructor Choose the initialization style */
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CMatrix4( eConstructor constructor = EM4CONST_IDENTITY );
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//! Constructor with value initialization
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CMatrix4(const T& r0c0, const T& r0c1, const T& r0c2, const T& r0c3,
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const T& r1c0, const T& r1c1, const T& r1c2, const T& r1c3,
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const T& r2c0, const T& r2c1, const T& r2c2, const T& r2c3,
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const T& r3c0, const T& r3c1, const T& r3c2, const T& r3c3)
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{
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M[0] = r0c0; M[1] = r0c1; M[2] = r0c2; M[3] = r0c3;
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M[4] = r1c0; M[5] = r1c1; M[6] = r1c2; M[7] = r1c3;
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M[8] = r2c0; M[9] = r2c1; M[10] = r2c2; M[11] = r2c3;
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M[12] = r3c0; M[13] = r3c1; M[14] = r3c2; M[15] = r3c3;
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}
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//! Copy constructor
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/** \param other Other matrix to copy from
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\param constructor Choose the initialization style */
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CMatrix4(const CMatrix4<T>& other, eConstructor constructor = EM4CONST_COPY);
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//! Simple operator for directly accessing every element of the matrix.
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T& operator()(const s32 row, const s32 col)
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{
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#if defined ( USE_MATRIX_TEST )
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definitelyIdentityMatrix=false;
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#endif
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return M[ row * 4 + col ];
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}
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//! Simple operator for directly accessing every element of the matrix.
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const T& operator()(const s32 row, const s32 col) const { return M[row * 4 + col]; }
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//! Simple operator for linearly accessing every element of the matrix.
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T& operator[](u32 index)
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{
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#if defined ( USE_MATRIX_TEST )
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definitelyIdentityMatrix=false;
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#endif
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return M[index];
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}
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//! Simple operator for linearly accessing every element of the matrix.
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const T& operator[](u32 index) const { return M[index]; }
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//! Sets this matrix equal to the other matrix.
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inline CMatrix4<T>& operator=(const CMatrix4<T> &other);
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//! Sets all elements of this matrix to the value.
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inline CMatrix4<T>& operator=(const T& scalar);
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//! Returns pointer to internal array
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const T* pointer() const { return M; }
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T* pointer()
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{
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#if defined ( USE_MATRIX_TEST )
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definitelyIdentityMatrix=false;
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#endif
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return M;
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}
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//! Returns true if other matrix is equal to this matrix.
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bool operator==(const CMatrix4<T> &other) const;
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//! Returns true if other matrix is not equal to this matrix.
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bool operator!=(const CMatrix4<T> &other) const;
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//! Add another matrix.
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CMatrix4<T> operator+(const CMatrix4<T>& other) const;
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//! Add another matrix.
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CMatrix4<T>& operator+=(const CMatrix4<T>& other);
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//! Subtract another matrix.
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CMatrix4<T> operator-(const CMatrix4<T>& other) const;
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//! Subtract another matrix.
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CMatrix4<T>& operator-=(const CMatrix4<T>& other);
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//! set this matrix to the product of two matrices
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/** Calculate b*a */
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inline CMatrix4<T>& setbyproduct(const CMatrix4<T>& other_a,const CMatrix4<T>& other_b );
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//! Set this matrix to the product of two matrices
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/** Calculate b*a, no optimization used,
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use it if you know you never have an identity matrix */
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CMatrix4<T>& setbyproduct_nocheck(const CMatrix4<T>& other_a,const CMatrix4<T>& other_b );
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//! Multiply by another matrix.
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/** Calculate other*this */
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CMatrix4<T> operator*(const CMatrix4<T>& other) const;
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//! Multiply by another matrix.
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/** Like calling: (*this) = (*this) * other
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*/
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CMatrix4<T>& operator*=(const CMatrix4<T>& other);
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//! Multiply by scalar.
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CMatrix4<T> operator*(const T& scalar) const;
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//! Multiply by scalar.
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CMatrix4<T>& operator*=(const T& scalar);
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//! Set matrix to identity.
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inline CMatrix4<T>& makeIdentity();
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//! Returns true if the matrix is the identity matrix
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inline bool isIdentity() const;
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//! Returns true if the matrix is orthogonal
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inline bool isOrthogonal() const;
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//! Returns true if the matrix is the identity matrix
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bool isIdentity_integer_base () const;
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//! Set the translation of the current matrix. Will erase any previous values.
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CMatrix4<T>& setTranslation( const vector3d<T>& translation );
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//! Gets the current translation
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vector3d<T> getTranslation() const;
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//! Set the inverse translation of the current matrix. Will erase any previous values.
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CMatrix4<T>& setInverseTranslation( const vector3d<T>& translation );
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//! Make a rotation matrix from Euler angles. The 4th row and column are unmodified.
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inline CMatrix4<T>& setRotationRadians( const vector3d<T>& rotation );
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//! Make a rotation matrix from Euler angles. The 4th row and column are unmodified.
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CMatrix4<T>& setRotationDegrees( const vector3d<T>& rotation );
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//! Get the rotation, as set by setRotation() when you already know the scale used to create the matrix
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/** NOTE: The scale needs to be the correct one used to create this matrix.
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You can _not_ use the result of getScale(), but have to save your scale
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variable in another place (like ISceneNode does).
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NOTE: No scale value can be 0 or the result is undefined.
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NOTE: It does not necessarily return the *same* Euler angles as those set by setRotationDegrees(),
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but the rotation will be equivalent, i.e. will have the same result when used to rotate a vector or node.
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NOTE: It will (usually) give wrong results when further transformations have been added in the matrix (like shear).
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WARNING: There have been troubles with this function over the years and we may still have missed some corner cases.
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It's generally safer to keep the rotation and scale you used to create the matrix around and work with those.
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*/
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core::vector3d<T> getRotationDegrees(const vector3d<T>& scale) const;
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//! Returns the rotation, as set by setRotation().
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/** NOTE: You will have the same end-rotation as used in setRotation, but it might not use the same axis values.
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NOTE: This only works correct if no other matrix operations have been done on the inner 3x3 matrix besides
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setting rotation (so no scale/shear). Thought it (probably) works as long as scale doesn't flip handedness.
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NOTE: It does not necessarily return the *same* Euler angles as those set by setRotationDegrees(),
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but the rotation will be equivalent, i.e. will have the same result when used to rotate a vector or node.
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*/
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core::vector3d<T> getRotationDegrees() const;
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//! Make an inverted rotation matrix from Euler angles.
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/** The 4th row and column are unmodified. */
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inline CMatrix4<T>& setInverseRotationRadians( const vector3d<T>& rotation );
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//! Make an inverted rotation matrix from Euler angles.
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/** The 4th row and column are unmodified. */
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inline CMatrix4<T>& setInverseRotationDegrees( const vector3d<T>& rotation );
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//! Make a rotation matrix from angle and axis, assuming left handed rotation.
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/** The 4th row and column are unmodified. */
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inline CMatrix4<T>& setRotationAxisRadians(const T& angle, const vector3d<T>& axis);
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//! Set Scale
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CMatrix4<T>& setScale( const vector3d<T>& scale );
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//! Set Scale
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CMatrix4<T>& setScale( const T scale ) { return setScale(core::vector3d<T>(scale,scale,scale)); }
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//! Get Scale
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core::vector3d<T> getScale() const;
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//! Translate a vector by the inverse of the translation part of this matrix.
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void inverseTranslateVect( vector3df& vect ) const;
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//! Transform (rotate/scale) a vector by the inverse of the rotation part this matrix
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void inverseRotateVect( vector3df& vect ) const;
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//! Transform (rotate/scale) a vector by the rotation part of this matrix.
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void rotateVect( vector3df& vect ) const;
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//! An alternate transform vector method, writing into a second vector
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void rotateVect(core::vector3df& out, const core::vector3df& in) const;
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//! An alternate transform vector method, writing into an array of 3 floats
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void rotateVect(T *out,const core::vector3df &in) const;
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//! Transforms the vector by this matrix
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/** This operation is performed as if the vector was 4d with the 4th component =1 */
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void transformVect( vector3df& vect) const;
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//! Transforms input vector by this matrix and stores result in output vector
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/** This operation is performed as if the vector was 4d with the 4th component =1 */
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void transformVect( vector3df& out, const vector3df& in ) const;
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//! An alternate transform vector method, writing into an array of 4 floats
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/** This operation is performed as if the vector was 4d with the 4th component =1.
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NOTE: out[3] will be written to (4th vector component)*/
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void transformVect(T *out,const core::vector3df &in) const;
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//! An alternate transform vector method, reading from and writing to an array of 3 floats
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/** This operation is performed as if the vector was 4d with the 4th component =1
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NOTE: out[3] will be written to (4th vector component)*/
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void transformVec3(T *out, const T * in) const;
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//! An alternate transform vector method, reading from and writing to an array of 4 floats
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void transformVec4(T *out, const T * in) const;
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//! Translate a vector by the translation part of this matrix.
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/** This operation is performed as if the vector was 4d with the 4th component =1 */
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void translateVect( vector3df& vect ) const;
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//! Transforms a plane by this matrix
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void transformPlane( core::plane3d<f32> &plane) const;
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//! Transforms a plane by this matrix
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void transformPlane( const core::plane3d<f32> &in, core::plane3d<f32> &out) const;
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//! Transforms a axis aligned bounding box
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/** The result box of this operation may not be accurate at all. For
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correct results, use transformBoxEx() */
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void transformBox(core::aabbox3d<f32>& box) const;
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//! Transforms a axis aligned bounding box
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/** The result box of this operation should be accurate, but this operation
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is slower than transformBox(). */
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void transformBoxEx(core::aabbox3d<f32>& box) const;
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//! Multiplies this matrix by a 1x4 matrix
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void multiplyWith1x4Matrix(T* matrix) const;
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//! Calculates inverse of matrix. Slow.
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/** \return Returns false if there is no inverse matrix.*/
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bool makeInverse();
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//! Inverts a primitive matrix which only contains a translation and a rotation
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/** \param out: where result matrix is written to. */
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bool getInversePrimitive ( CMatrix4<T>& out ) const;
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//! Gets the inverse matrix of this one
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/** \param out: where result matrix is written to.
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\return Returns false if there is no inverse matrix. */
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bool getInverse(CMatrix4<T>& out) const;
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//! Tool function to build a perspective projection matrix
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/** Mainly for use of the other perspective projection build functions.
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But can also be used by users (can be useful if you don't work with matrices with T=f32).
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\param sx: x scale factor (depth/half_width from clipped frustum planes parallel to the camera)
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\param sy: y scale factor (depth/half_height from clipped frustum planes parallel to the camera)
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\param zNear: Distance to near plane
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\param zFar: Distance to far plane
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param zClipFromZero: Clipping of z can be projected from 0 to w when true (D3D style) and from -w to w when false (OGL style)
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\param zSign: 1 for left-handed projection matrix, -1 for right-handed projection matrix */
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CMatrix4<T>& buildProjectionMatrixPerspectiveFov(T sx, T sy, T zNear, T zFar, bool zClipFromZero, T zSign);
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//! Builds a right-handed perspective projection matrix based on a field of view
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//\param zClipFromZero: Clipping of z can be projected from 0 to w when true (D3D style) and from -w to w when false (OGL style).
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CMatrix4<T>& buildProjectionMatrixPerspectiveFovRH(f32 fieldOfViewRadiansY, f32 aspectRatio, f32 zNear, f32 zFar, bool zClipFromZero=true);
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//! Builds a left-handed perspective projection matrix based on a field of view
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CMatrix4<T>& buildProjectionMatrixPerspectiveFovLH(f32 fieldOfViewRadiansY, f32 aspectRatio, f32 zNear, f32 zFar, bool zClipFromZero=true);
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//! Builds a left-handed perspective projection matrix based on a field of view, with far plane at infinity
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CMatrix4<T>& buildProjectionMatrixPerspectiveFovInfinityLH(f32 fieldOfViewRadiansY, f32 aspectRatio, f32 zNear, f32 epsilon=0);
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//! Builds a right-handed perspective projection matrix.
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CMatrix4<T>& buildProjectionMatrixPerspectiveRH(f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero=true);
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//! Builds a left-handed perspective projection matrix.
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//\param widthOfViewVolume: width of clipped near frustum plane
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//\param heightOfViewVolume: height of clipped near frustum plane
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CMatrix4<T>& buildProjectionMatrixPerspectiveLH(f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero=true);
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//! Builds a left-handed orthogonal projection matrix.
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//\param zClipFromZero: Clipping of z can be projected from 0 to 1 when true (D3D style) and from -1 to 1 when false (OGL style).
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CMatrix4<T>& buildProjectionMatrixOrthoLH(f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero=true);
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//! Builds a right-handed orthogonal projection matrix.
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CMatrix4<T>& buildProjectionMatrixOrthoRH(f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero=true);
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//! Builds a left-handed look-at matrix.
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CMatrix4<T>& buildCameraLookAtMatrixLH(
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const vector3df& position,
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const vector3df& target,
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const vector3df& upVector);
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//! Builds a right-handed look-at matrix.
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CMatrix4<T>& buildCameraLookAtMatrixRH(
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const vector3df& position,
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const vector3df& target,
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const vector3df& upVector);
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//! Builds a matrix that flattens geometry into a plane.
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/** \param light: light source
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\param plane: plane into which the geometry if flattened into
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\param point: value between 0 and 1, describing the light source.
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If this is 1, it is a point light, if it is 0, it is a directional light. */
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CMatrix4<T>& buildShadowMatrix(const core::vector3df& light, core::plane3df plane, f32 point=1.0f);
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//! Builds a matrix which transforms a normalized Device Coordinate to Device Coordinates.
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/** Used to scale <-1,-1><1,1> to viewport, for example from <-1,-1> <1,1> to the viewport <0,0><0,640> */
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CMatrix4<T>& buildNDCToDCMatrix( const core::rect<s32>& area, f32 zScale);
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//! Creates a new matrix as interpolated matrix from two other ones.
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/** \param b: other matrix to interpolate with
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\param time: Must be a value between 0 and 1. */
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CMatrix4<T> interpolate(const core::CMatrix4<T>& b, f32 time) const;
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//! Gets transposed matrix
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CMatrix4<T> getTransposed() const;
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//! Gets transposed matrix
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inline void getTransposed( CMatrix4<T>& dest ) const;
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//! Builds a matrix that rotates from one vector to another
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/** \param from: vector to rotate from
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\param to: vector to rotate to
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*/
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CMatrix4<T>& buildRotateFromTo(const core::vector3df& from, const core::vector3df& to);
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//! Builds a combined matrix which translates to a center before rotation and translates from origin afterwards
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/** \param center Position to rotate around
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\param translate Translation applied after the rotation
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*/
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void setRotationCenter(const core::vector3df& center, const core::vector3df& translate);
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//! Builds a matrix which rotates a source vector to a look vector over an arbitrary axis
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/** \param camPos: viewer position in world coo
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\param center: object position in world-coo and rotation pivot
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\param translation: object final translation from center
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\param axis: axis to rotate about
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\param from: source vector to rotate from
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*/
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void buildAxisAlignedBillboard(const core::vector3df& camPos,
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const core::vector3df& center,
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const core::vector3df& translation,
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const core::vector3df& axis,
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const core::vector3df& from);
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/*
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construct 2D Texture transformations
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rotate about center, scale, and transform.
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*/
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//! Set to a texture transformation matrix with the given parameters.
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CMatrix4<T>& buildTextureTransform( f32 rotateRad,
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const core::vector2df &rotatecenter,
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const core::vector2df &translate,
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const core::vector2df &scale);
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//! Set texture transformation rotation
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/** Rotate about z axis, recenter at (0.5,0.5).
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Doesn't clear other elements than those affected
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\param radAngle Angle in radians
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\return Altered matrix */
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CMatrix4<T>& setTextureRotationCenter( f32 radAngle );
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//! Set texture transformation translation
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/** Doesn't clear other elements than those affected.
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\param x Offset on x axis
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\param y Offset on y axis
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\return Altered matrix */
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CMatrix4<T>& setTextureTranslate( f32 x, f32 y );
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//! Get texture transformation translation
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/** \param x returns offset on x axis
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\param y returns offset on y axis */
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void getTextureTranslate( f32& x, f32& y ) const;
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|
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//! Set texture transformation translation, using a transposed representation
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/** Doesn't clear other elements than those affected.
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\param x Offset on x axis
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\param y Offset on y axis
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\return Altered matrix */
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CMatrix4<T>& setTextureTranslateTransposed( f32 x, f32 y );
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|
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//! Set texture transformation scale
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||
/** Doesn't clear other elements than those affected.
|
||
\param sx Scale factor on x axis
|
||
\param sy Scale factor on y axis
|
||
\return Altered matrix. */
|
||
CMatrix4<T>& setTextureScale( f32 sx, f32 sy );
|
||
|
||
//! Get texture transformation scale
|
||
/** \param sx Returns x axis scale factor
|
||
\param sy Returns y axis scale factor */
|
||
void getTextureScale( f32& sx, f32& sy ) const;
|
||
|
||
//! Set texture transformation scale, and recenter at (0.5,0.5)
|
||
/** Doesn't clear other elements than those affected.
|
||
\param sx Scale factor on x axis
|
||
\param sy Scale factor on y axis
|
||
\return Altered matrix. */
|
||
CMatrix4<T>& setTextureScaleCenter( f32 sx, f32 sy );
|
||
|
||
//! Sets all matrix data members at once
|
||
CMatrix4<T>& setM(const T* data);
|
||
|
||
//! Sets if the matrix is definitely identity matrix
|
||
void setDefinitelyIdentityMatrix( bool isDefinitelyIdentityMatrix);
|
||
|
||
//! Gets if the matrix is definitely identity matrix
|
||
bool getDefinitelyIdentityMatrix() const;
|
||
|
||
//! Compare two matrices using the equal method
|
||
bool equals(const core::CMatrix4<T>& other, const T tolerance=(T)ROUNDING_ERROR_f64) const;
|
||
|
||
private:
|
||
//! Matrix data, stored in row-major order
|
||
T M[16];
|
||
#if defined ( USE_MATRIX_TEST )
|
||
//! Flag is this matrix is identity matrix
|
||
mutable u32 definitelyIdentityMatrix;
|
||
#endif
|
||
#if defined ( USE_MATRIX_TEST_DEBUG )
|
||
u32 id;
|
||
mutable u32 calls;
|
||
#endif
|
||
|
||
};
|
||
|
||
// Default constructor
|
||
template <class T>
|
||
inline CMatrix4<T>::CMatrix4( eConstructor constructor )
|
||
#if defined ( USE_MATRIX_TEST )
|
||
: definitelyIdentityMatrix(BIT_UNTESTED)
|
||
#endif
|
||
#if defined ( USE_MATRIX_TEST_DEBUG )
|
||
,id ( MTest.ID++), calls ( 0 )
|
||
#endif
|
||
{
|
||
switch ( constructor )
|
||
{
|
||
case EM4CONST_NOTHING:
|
||
case EM4CONST_COPY:
|
||
break;
|
||
case EM4CONST_IDENTITY:
|
||
case EM4CONST_INVERSE:
|
||
default:
|
||
makeIdentity();
|
||
break;
|
||
}
|
||
}
|
||
|
||
// Copy constructor
|
||
template <class T>
|
||
inline CMatrix4<T>::CMatrix4( const CMatrix4<T>& other, eConstructor constructor)
|
||
#if defined ( USE_MATRIX_TEST )
|
||
: definitelyIdentityMatrix(BIT_UNTESTED)
|
||
#endif
|
||
#if defined ( USE_MATRIX_TEST_DEBUG )
|
||
,id ( MTest.ID++), calls ( 0 )
|
||
#endif
|
||
{
|
||
switch ( constructor )
|
||
{
|
||
case EM4CONST_IDENTITY:
|
||
makeIdentity();
|
||
break;
|
||
case EM4CONST_NOTHING:
|
||
break;
|
||
case EM4CONST_COPY:
|
||
*this = other;
|
||
break;
|
||
case EM4CONST_TRANSPOSED:
|
||
other.getTransposed(*this);
|
||
break;
|
||
case EM4CONST_INVERSE:
|
||
if (!other.getInverse(*this))
|
||
memset(M, 0, 16*sizeof(T));
|
||
break;
|
||
case EM4CONST_INVERSE_TRANSPOSED:
|
||
if (!other.getInverse(*this))
|
||
memset(M, 0, 16*sizeof(T));
|
||
else
|
||
*this=getTransposed();
|
||
break;
|
||
}
|
||
}
|
||
|
||
//! Add another matrix.
|
||
template <class T>
|
||
inline CMatrix4<T> CMatrix4<T>::operator+(const CMatrix4<T>& other) const
|
||
{
|
||
CMatrix4<T> temp ( EM4CONST_NOTHING );
|
||
|
||
temp[0] = M[0]+other[0];
|
||
temp[1] = M[1]+other[1];
|
||
temp[2] = M[2]+other[2];
|
||
temp[3] = M[3]+other[3];
|
||
temp[4] = M[4]+other[4];
|
||
temp[5] = M[5]+other[5];
|
||
temp[6] = M[6]+other[6];
|
||
temp[7] = M[7]+other[7];
|
||
temp[8] = M[8]+other[8];
|
||
temp[9] = M[9]+other[9];
|
||
temp[10] = M[10]+other[10];
|
||
temp[11] = M[11]+other[11];
|
||
temp[12] = M[12]+other[12];
|
||
temp[13] = M[13]+other[13];
|
||
temp[14] = M[14]+other[14];
|
||
temp[15] = M[15]+other[15];
|
||
|
||
return temp;
|
||
}
|
||
|
||
//! Add another matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::operator+=(const CMatrix4<T>& other)
|
||
{
|
||
M[0]+=other[0];
|
||
M[1]+=other[1];
|
||
M[2]+=other[2];
|
||
M[3]+=other[3];
|
||
M[4]+=other[4];
|
||
M[5]+=other[5];
|
||
M[6]+=other[6];
|
||
M[7]+=other[7];
|
||
M[8]+=other[8];
|
||
M[9]+=other[9];
|
||
M[10]+=other[10];
|
||
M[11]+=other[11];
|
||
M[12]+=other[12];
|
||
M[13]+=other[13];
|
||
M[14]+=other[14];
|
||
M[15]+=other[15];
|
||
|
||
return *this;
|
||
}
|
||
|
||
//! Subtract another matrix.
|
||
template <class T>
|
||
inline CMatrix4<T> CMatrix4<T>::operator-(const CMatrix4<T>& other) const
|
||
{
|
||
CMatrix4<T> temp ( EM4CONST_NOTHING );
|
||
|
||
temp[0] = M[0]-other[0];
|
||
temp[1] = M[1]-other[1];
|
||
temp[2] = M[2]-other[2];
|
||
temp[3] = M[3]-other[3];
|
||
temp[4] = M[4]-other[4];
|
||
temp[5] = M[5]-other[5];
|
||
temp[6] = M[6]-other[6];
|
||
temp[7] = M[7]-other[7];
|
||
temp[8] = M[8]-other[8];
|
||
temp[9] = M[9]-other[9];
|
||
temp[10] = M[10]-other[10];
|
||
temp[11] = M[11]-other[11];
|
||
temp[12] = M[12]-other[12];
|
||
temp[13] = M[13]-other[13];
|
||
temp[14] = M[14]-other[14];
|
||
temp[15] = M[15]-other[15];
|
||
|
||
return temp;
|
||
}
|
||
|
||
//! Subtract another matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::operator-=(const CMatrix4<T>& other)
|
||
{
|
||
M[0]-=other[0];
|
||
M[1]-=other[1];
|
||
M[2]-=other[2];
|
||
M[3]-=other[3];
|
||
M[4]-=other[4];
|
||
M[5]-=other[5];
|
||
M[6]-=other[6];
|
||
M[7]-=other[7];
|
||
M[8]-=other[8];
|
||
M[9]-=other[9];
|
||
M[10]-=other[10];
|
||
M[11]-=other[11];
|
||
M[12]-=other[12];
|
||
M[13]-=other[13];
|
||
M[14]-=other[14];
|
||
M[15]-=other[15];
|
||
|
||
return *this;
|
||
}
|
||
|
||
//! Multiply by scalar.
|
||
template <class T>
|
||
inline CMatrix4<T> CMatrix4<T>::operator*(const T& scalar) const
|
||
{
|
||
CMatrix4<T> temp ( EM4CONST_NOTHING );
|
||
|
||
temp[0] = M[0]*scalar;
|
||
temp[1] = M[1]*scalar;
|
||
temp[2] = M[2]*scalar;
|
||
temp[3] = M[3]*scalar;
|
||
temp[4] = M[4]*scalar;
|
||
temp[5] = M[5]*scalar;
|
||
temp[6] = M[6]*scalar;
|
||
temp[7] = M[7]*scalar;
|
||
temp[8] = M[8]*scalar;
|
||
temp[9] = M[9]*scalar;
|
||
temp[10] = M[10]*scalar;
|
||
temp[11] = M[11]*scalar;
|
||
temp[12] = M[12]*scalar;
|
||
temp[13] = M[13]*scalar;
|
||
temp[14] = M[14]*scalar;
|
||
temp[15] = M[15]*scalar;
|
||
|
||
return temp;
|
||
}
|
||
|
||
//! Multiply by scalar.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::operator*=(const T& scalar)
|
||
{
|
||
M[0]*=scalar;
|
||
M[1]*=scalar;
|
||
M[2]*=scalar;
|
||
M[3]*=scalar;
|
||
M[4]*=scalar;
|
||
M[5]*=scalar;
|
||
M[6]*=scalar;
|
||
M[7]*=scalar;
|
||
M[8]*=scalar;
|
||
M[9]*=scalar;
|
||
M[10]*=scalar;
|
||
M[11]*=scalar;
|
||
M[12]*=scalar;
|
||
M[13]*=scalar;
|
||
M[14]*=scalar;
|
||
M[15]*=scalar;
|
||
|
||
return *this;
|
||
}
|
||
|
||
//! Multiply by another matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::operator*=(const CMatrix4<T>& other)
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
// do checks on your own in order to avoid copy creation
|
||
if ( !other.isIdentity() )
|
||
{
|
||
if ( this->isIdentity() )
|
||
{
|
||
return (*this = other);
|
||
}
|
||
else
|
||
{
|
||
CMatrix4<T> temp ( *this );
|
||
return setbyproduct_nocheck( temp, other );
|
||
}
|
||
}
|
||
return *this;
|
||
#else
|
||
CMatrix4<T> temp ( *this );
|
||
return setbyproduct_nocheck( temp, other );
|
||
#endif
|
||
}
|
||
|
||
//! multiply by another matrix
|
||
// set this matrix to the product of two other matrices
|
||
// goal is to reduce stack use and copy
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setbyproduct_nocheck(const CMatrix4<T>& other_a,const CMatrix4<T>& other_b )
|
||
{
|
||
const T *m1 = other_a.M;
|
||
const T *m2 = other_b.M;
|
||
|
||
M[0] = m1[0]*m2[0] + m1[4]*m2[1] + m1[8]*m2[2] + m1[12]*m2[3];
|
||
M[1] = m1[1]*m2[0] + m1[5]*m2[1] + m1[9]*m2[2] + m1[13]*m2[3];
|
||
M[2] = m1[2]*m2[0] + m1[6]*m2[1] + m1[10]*m2[2] + m1[14]*m2[3];
|
||
M[3] = m1[3]*m2[0] + m1[7]*m2[1] + m1[11]*m2[2] + m1[15]*m2[3];
|
||
|
||
M[4] = m1[0]*m2[4] + m1[4]*m2[5] + m1[8]*m2[6] + m1[12]*m2[7];
|
||
M[5] = m1[1]*m2[4] + m1[5]*m2[5] + m1[9]*m2[6] + m1[13]*m2[7];
|
||
M[6] = m1[2]*m2[4] + m1[6]*m2[5] + m1[10]*m2[6] + m1[14]*m2[7];
|
||
M[7] = m1[3]*m2[4] + m1[7]*m2[5] + m1[11]*m2[6] + m1[15]*m2[7];
|
||
|
||
M[8] = m1[0]*m2[8] + m1[4]*m2[9] + m1[8]*m2[10] + m1[12]*m2[11];
|
||
M[9] = m1[1]*m2[8] + m1[5]*m2[9] + m1[9]*m2[10] + m1[13]*m2[11];
|
||
M[10] = m1[2]*m2[8] + m1[6]*m2[9] + m1[10]*m2[10] + m1[14]*m2[11];
|
||
M[11] = m1[3]*m2[8] + m1[7]*m2[9] + m1[11]*m2[10] + m1[15]*m2[11];
|
||
|
||
M[12] = m1[0]*m2[12] + m1[4]*m2[13] + m1[8]*m2[14] + m1[12]*m2[15];
|
||
M[13] = m1[1]*m2[12] + m1[5]*m2[13] + m1[9]*m2[14] + m1[13]*m2[15];
|
||
M[14] = m1[2]*m2[12] + m1[6]*m2[13] + m1[10]*m2[14] + m1[14]*m2[15];
|
||
M[15] = m1[3]*m2[12] + m1[7]*m2[13] + m1[11]*m2[14] + m1[15]*m2[15];
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
//! multiply by another matrix
|
||
// set this matrix to the product of two other matrices
|
||
// goal is to reduce stack use and copy
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setbyproduct(const CMatrix4<T>& other_a, const CMatrix4<T>& other_b )
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if ( other_a.isIdentity () )
|
||
return (*this = other_b);
|
||
else
|
||
if ( other_b.isIdentity () )
|
||
return (*this = other_a);
|
||
else
|
||
return setbyproduct_nocheck(other_a,other_b);
|
||
#else
|
||
return setbyproduct_nocheck(other_a,other_b);
|
||
#endif
|
||
}
|
||
|
||
//! multiply by another matrix
|
||
template <class T>
|
||
inline CMatrix4<T> CMatrix4<T>::operator*(const CMatrix4<T>& m2) const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
// Testing purpose..
|
||
if ( this->isIdentity() )
|
||
return m2;
|
||
if ( m2.isIdentity() )
|
||
return *this;
|
||
#endif
|
||
|
||
CMatrix4<T> m3 ( EM4CONST_NOTHING );
|
||
|
||
const T *m1 = M;
|
||
|
||
m3[0] = m1[0]*m2[0] + m1[4]*m2[1] + m1[8]*m2[2] + m1[12]*m2[3];
|
||
m3[1] = m1[1]*m2[0] + m1[5]*m2[1] + m1[9]*m2[2] + m1[13]*m2[3];
|
||
m3[2] = m1[2]*m2[0] + m1[6]*m2[1] + m1[10]*m2[2] + m1[14]*m2[3];
|
||
m3[3] = m1[3]*m2[0] + m1[7]*m2[1] + m1[11]*m2[2] + m1[15]*m2[3];
|
||
|
||
m3[4] = m1[0]*m2[4] + m1[4]*m2[5] + m1[8]*m2[6] + m1[12]*m2[7];
|
||
m3[5] = m1[1]*m2[4] + m1[5]*m2[5] + m1[9]*m2[6] + m1[13]*m2[7];
|
||
m3[6] = m1[2]*m2[4] + m1[6]*m2[5] + m1[10]*m2[6] + m1[14]*m2[7];
|
||
m3[7] = m1[3]*m2[4] + m1[7]*m2[5] + m1[11]*m2[6] + m1[15]*m2[7];
|
||
|
||
m3[8] = m1[0]*m2[8] + m1[4]*m2[9] + m1[8]*m2[10] + m1[12]*m2[11];
|
||
m3[9] = m1[1]*m2[8] + m1[5]*m2[9] + m1[9]*m2[10] + m1[13]*m2[11];
|
||
m3[10] = m1[2]*m2[8] + m1[6]*m2[9] + m1[10]*m2[10] + m1[14]*m2[11];
|
||
m3[11] = m1[3]*m2[8] + m1[7]*m2[9] + m1[11]*m2[10] + m1[15]*m2[11];
|
||
|
||
m3[12] = m1[0]*m2[12] + m1[4]*m2[13] + m1[8]*m2[14] + m1[12]*m2[15];
|
||
m3[13] = m1[1]*m2[12] + m1[5]*m2[13] + m1[9]*m2[14] + m1[13]*m2[15];
|
||
m3[14] = m1[2]*m2[12] + m1[6]*m2[13] + m1[10]*m2[14] + m1[14]*m2[15];
|
||
m3[15] = m1[3]*m2[12] + m1[7]*m2[13] + m1[11]*m2[14] + m1[15]*m2[15];
|
||
return m3;
|
||
}
|
||
|
||
|
||
|
||
template <class T>
|
||
inline vector3d<T> CMatrix4<T>::getTranslation() const
|
||
{
|
||
return vector3d<T>(M[12], M[13], M[14]);
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setTranslation( const vector3d<T>& translation )
|
||
{
|
||
M[12] = translation.X;
|
||
M[13] = translation.Y;
|
||
M[14] = translation.Z;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setInverseTranslation( const vector3d<T>& translation )
|
||
{
|
||
M[12] = -translation.X;
|
||
M[13] = -translation.Y;
|
||
M[14] = -translation.Z;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setScale( const vector3d<T>& scale )
|
||
{
|
||
M[0] = scale.X;
|
||
M[5] = scale.Y;
|
||
M[10] = scale.Z;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
//! Returns the absolute values of the scales of the matrix.
|
||
/**
|
||
Note: You only get back original values if the matrix only set the scale.
|
||
Otherwise the result is a scale you can use to normalize the matrix axes,
|
||
but it's usually no longer what you did set with setScale.
|
||
*/
|
||
template <class T>
|
||
inline vector3d<T> CMatrix4<T>::getScale() const
|
||
{
|
||
// See http://www.robertblum.com/articles/2005/02/14/decomposing-matrices
|
||
|
||
// Deal with the 0 rotation case first
|
||
// Prior to Irrlicht 1.6, we always returned this value.
|
||
if(core::iszero(M[1]) && core::iszero(M[2]) &&
|
||
core::iszero(M[4]) && core::iszero(M[6]) &&
|
||
core::iszero(M[8]) && core::iszero(M[9]))
|
||
return vector3d<T>(M[0], M[5], M[10]);
|
||
|
||
// We have to do the full calculation.
|
||
return vector3d<T>(sqrtf(M[0] * M[0] + M[1] * M[1] + M[2] * M[2]),
|
||
sqrtf(M[4] * M[4] + M[5] * M[5] + M[6] * M[6]),
|
||
sqrtf(M[8] * M[8] + M[9] * M[9] + M[10] * M[10]));
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setRotationDegrees( const vector3d<T>& rotation )
|
||
{
|
||
return setRotationRadians( rotation * core::DEGTORAD );
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setInverseRotationDegrees( const vector3d<T>& rotation )
|
||
{
|
||
return setInverseRotationRadians( rotation * core::DEGTORAD );
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setRotationRadians( const vector3d<T>& rotation )
|
||
{
|
||
const f64 cr = cos( rotation.X );
|
||
const f64 sr = sin( rotation.X );
|
||
const f64 cp = cos( rotation.Y );
|
||
const f64 sp = sin( rotation.Y );
|
||
const f64 cy = cos( rotation.Z );
|
||
const f64 sy = sin( rotation.Z );
|
||
|
||
M[0] = (T)( cp*cy );
|
||
M[1] = (T)( cp*sy );
|
||
M[2] = (T)( -sp );
|
||
|
||
const f64 srsp = sr*sp;
|
||
const f64 crsp = cr*sp;
|
||
|
||
M[4] = (T)( srsp*cy-cr*sy );
|
||
M[5] = (T)( srsp*sy+cr*cy );
|
||
M[6] = (T)( sr*cp );
|
||
|
||
M[8] = (T)( crsp*cy+sr*sy );
|
||
M[9] = (T)( crsp*sy-sr*cy );
|
||
M[10] = (T)( cr*cp );
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
//! Returns a rotation which (mostly) works in combination with the given scale
|
||
/**
|
||
This code was originally written by by Chev (assuming no scaling back then,
|
||
we can be blamed for all problems added by regarding scale)
|
||
*/
|
||
template <class T>
|
||
inline core::vector3d<T> CMatrix4<T>::getRotationDegrees(const vector3d<T>& scale_) const
|
||
{
|
||
const CMatrix4<T> &mat = *this;
|
||
const core::vector3d<f64> scale(core::iszero(scale_.X) ? FLT_MAX : scale_.X , core::iszero(scale_.Y) ? FLT_MAX : scale_.Y, core::iszero(scale_.Z) ? FLT_MAX : scale_.Z);
|
||
const core::vector3d<f64> invScale(core::reciprocal(scale.X),core::reciprocal(scale.Y),core::reciprocal(scale.Z));
|
||
|
||
f64 Y = -asin(core::clamp(mat[2]*invScale.X, -1.0, 1.0));
|
||
const f64 C = cos(Y);
|
||
Y *= RADTODEG64;
|
||
|
||
f64 rotx, roty, X, Z;
|
||
|
||
if (!core::iszero((T)C))
|
||
{
|
||
const f64 invC = core::reciprocal(C);
|
||
rotx = mat[10] * invC * invScale.Z;
|
||
roty = mat[6] * invC * invScale.Y;
|
||
X = atan2( roty, rotx ) * RADTODEG64;
|
||
rotx = mat[0] * invC * invScale.X;
|
||
roty = mat[1] * invC * invScale.X;
|
||
Z = atan2( roty, rotx ) * RADTODEG64;
|
||
}
|
||
else
|
||
{
|
||
X = 0.0;
|
||
rotx = mat[5] * invScale.Y;
|
||
roty = -mat[4] * invScale.Y;
|
||
Z = atan2( roty, rotx ) * RADTODEG64;
|
||
}
|
||
|
||
// fix values that get below zero
|
||
if (X < 0.0) X += 360.0;
|
||
if (Y < 0.0) Y += 360.0;
|
||
if (Z < 0.0) Z += 360.0;
|
||
|
||
return vector3d<T>((T)X,(T)Y,(T)Z);
|
||
}
|
||
|
||
//! Returns a rotation that is equivalent to that set by setRotationDegrees().
|
||
template <class T>
|
||
inline core::vector3d<T> CMatrix4<T>::getRotationDegrees() const
|
||
{
|
||
// Note: Using getScale() here make it look like it could do matrix decomposition.
|
||
// It can't! It works (or should work) as long as rotation doesn't flip the handedness
|
||
// aka scale swapping 1 or 3 axes. (I think we could catch that as well by comparing
|
||
// cross product of first 2 axes to direction of third axis, but TODO)
|
||
// And maybe it should also offer the solution for the simple calculation
|
||
// without regarding scaling as Irrlicht did before 1.7
|
||
core::vector3d<T> scale(getScale());
|
||
|
||
// We assume the matrix uses rotations instead of negative scaling 2 axes.
|
||
// Otherwise it fails even for some simple cases, like rotating around
|
||
// 2 axes by 180<38> which getScale thinks is a negative scaling.
|
||
if (scale.Y<0 && scale.Z<0)
|
||
{
|
||
scale.Y =-scale.Y;
|
||
scale.Z =-scale.Z;
|
||
}
|
||
else if (scale.X<0 && scale.Z<0)
|
||
{
|
||
scale.X =-scale.X;
|
||
scale.Z =-scale.Z;
|
||
}
|
||
else if (scale.X<0 && scale.Y<0)
|
||
{
|
||
scale.X =-scale.X;
|
||
scale.Y =-scale.Y;
|
||
}
|
||
|
||
return getRotationDegrees(scale);
|
||
}
|
||
|
||
|
||
//! Sets matrix to rotation matrix of inverse angles given as parameters
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setInverseRotationRadians( const vector3d<T>& rotation )
|
||
{
|
||
f64 cr = cos( rotation.X );
|
||
f64 sr = sin( rotation.X );
|
||
f64 cp = cos( rotation.Y );
|
||
f64 sp = sin( rotation.Y );
|
||
f64 cy = cos( rotation.Z );
|
||
f64 sy = sin( rotation.Z );
|
||
|
||
M[0] = (T)( cp*cy );
|
||
M[4] = (T)( cp*sy );
|
||
M[8] = (T)( -sp );
|
||
|
||
f64 srsp = sr*sp;
|
||
f64 crsp = cr*sp;
|
||
|
||
M[1] = (T)( srsp*cy-cr*sy );
|
||
M[5] = (T)( srsp*sy+cr*cy );
|
||
M[9] = (T)( sr*cp );
|
||
|
||
M[2] = (T)( crsp*cy+sr*sy );
|
||
M[6] = (T)( crsp*sy-sr*cy );
|
||
M[10] = (T)( cr*cp );
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
//! Sets matrix to rotation matrix defined by axis and angle, assuming LH rotation
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setRotationAxisRadians( const T& angle, const vector3d<T>& axis )
|
||
{
|
||
const f64 c = cos(angle);
|
||
const f64 s = sin(angle);
|
||
const f64 t = 1.0 - c;
|
||
|
||
const f64 tx = t * axis.X;
|
||
const f64 ty = t * axis.Y;
|
||
const f64 tz = t * axis.Z;
|
||
|
||
const f64 sx = s * axis.X;
|
||
const f64 sy = s * axis.Y;
|
||
const f64 sz = s * axis.Z;
|
||
|
||
M[0] = (T)(tx * axis.X + c);
|
||
M[1] = (T)(tx * axis.Y + sz);
|
||
M[2] = (T)(tx * axis.Z - sy);
|
||
|
||
M[4] = (T)(ty * axis.X - sz);
|
||
M[5] = (T)(ty * axis.Y + c);
|
||
M[6] = (T)(ty * axis.Z + sx);
|
||
|
||
M[8] = (T)(tz * axis.X + sy);
|
||
M[9] = (T)(tz * axis.Y - sx);
|
||
M[10] = (T)(tz * axis.Z + c);
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
/*!
|
||
*/
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::makeIdentity()
|
||
{
|
||
memset(M, 0, 16*sizeof(T));
|
||
M[0] = M[5] = M[10] = M[15] = (T)1;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=true;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
/*
|
||
check identity with epsilon
|
||
solve floating range problems..
|
||
*/
|
||
template <class T>
|
||
inline bool CMatrix4<T>::isIdentity() const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if (definitelyIdentityMatrix)
|
||
return true;
|
||
#endif
|
||
if (!core::equals( M[12], (T)0 ) || !core::equals( M[13], (T)0 ) || !core::equals( M[14], (T)0 ) || !core::equals( M[15], (T)1 ))
|
||
return false;
|
||
|
||
if (!core::equals( M[ 0], (T)1 ) || !core::equals( M[ 1], (T)0 ) || !core::equals( M[ 2], (T)0 ) || !core::equals( M[ 3], (T)0 ))
|
||
return false;
|
||
|
||
if (!core::equals( M[ 4], (T)0 ) || !core::equals( M[ 5], (T)1 ) || !core::equals( M[ 6], (T)0 ) || !core::equals( M[ 7], (T)0 ))
|
||
return false;
|
||
|
||
if (!core::equals( M[ 8], (T)0 ) || !core::equals( M[ 9], (T)0 ) || !core::equals( M[10], (T)1 ) || !core::equals( M[11], (T)0 ))
|
||
return false;
|
||
/*
|
||
if (!core::equals( M[ 0], (T)1 ) ||
|
||
!core::equals( M[ 5], (T)1 ) ||
|
||
!core::equals( M[10], (T)1 ) ||
|
||
!core::equals( M[15], (T)1 ))
|
||
return false;
|
||
|
||
for (s32 i=0; i<4; ++i)
|
||
for (s32 j=0; j<4; ++j)
|
||
if ((j != i) && (!iszero((*this)(i,j))))
|
||
return false;
|
||
*/
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=true;
|
||
#endif
|
||
return true;
|
||
}
|
||
|
||
|
||
/* Check orthogonality of matrix. */
|
||
template <class T>
|
||
inline bool CMatrix4<T>::isOrthogonal() const
|
||
{
|
||
T dp=M[0] * M[4 ] + M[1] * M[5 ] + M[2 ] * M[6 ] + M[3 ] * M[7 ];
|
||
if (!iszero(dp))
|
||
return false;
|
||
dp = M[0] * M[8 ] + M[1] * M[9 ] + M[2 ] * M[10] + M[3 ] * M[11];
|
||
if (!iszero(dp))
|
||
return false;
|
||
dp = M[0] * M[12] + M[1] * M[13] + M[2 ] * M[14] + M[3 ] * M[15];
|
||
if (!iszero(dp))
|
||
return false;
|
||
dp = M[4] * M[8 ] + M[5] * M[9 ] + M[6 ] * M[10] + M[7 ] * M[11];
|
||
if (!iszero(dp))
|
||
return false;
|
||
dp = M[4] * M[12] + M[5] * M[13] + M[6 ] * M[14] + M[7 ] * M[15];
|
||
if (!iszero(dp))
|
||
return false;
|
||
dp = M[8] * M[12] + M[9] * M[13] + M[10] * M[14] + M[11] * M[15];
|
||
return (iszero(dp));
|
||
}
|
||
|
||
|
||
/*
|
||
doesn't solve floating range problems..
|
||
but takes care on +/- 0 on translation because we are changing it..
|
||
reducing floating point branches
|
||
but it needs the floats in memory..
|
||
*/
|
||
template <class T>
|
||
inline bool CMatrix4<T>::isIdentity_integer_base() const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if (definitelyIdentityMatrix)
|
||
return true;
|
||
#endif
|
||
if(IR(M[0])!=F32_VALUE_1) return false;
|
||
if(IR(M[1])!=0) return false;
|
||
if(IR(M[2])!=0) return false;
|
||
if(IR(M[3])!=0) return false;
|
||
|
||
if(IR(M[4])!=0) return false;
|
||
if(IR(M[5])!=F32_VALUE_1) return false;
|
||
if(IR(M[6])!=0) return false;
|
||
if(IR(M[7])!=0) return false;
|
||
|
||
if(IR(M[8])!=0) return false;
|
||
if(IR(M[9])!=0) return false;
|
||
if(IR(M[10])!=F32_VALUE_1) return false;
|
||
if(IR(M[11])!=0) return false;
|
||
|
||
if(IR(M[12])!=0) return false;
|
||
if(IR(M[13])!=0) return false;
|
||
if(IR(M[13])!=0) return false;
|
||
if(IR(M[15])!=F32_VALUE_1) return false;
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=true;
|
||
#endif
|
||
return true;
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::rotateVect( vector3df& vect ) const
|
||
{
|
||
vector3d<T> tmp(static_cast<T>(vect.X), static_cast<T>(vect.Y), static_cast<T>(vect.Z));
|
||
vect.X = static_cast<f32>(tmp.X*M[0] + tmp.Y*M[4] + tmp.Z*M[8]);
|
||
vect.Y = static_cast<f32>(tmp.X*M[1] + tmp.Y*M[5] + tmp.Z*M[9]);
|
||
vect.Z = static_cast<f32>(tmp.X*M[2] + tmp.Y*M[6] + tmp.Z*M[10]);
|
||
}
|
||
|
||
//! An alternate transform vector method, writing into a second vector
|
||
template <class T>
|
||
inline void CMatrix4<T>::rotateVect(core::vector3df& out, const core::vector3df& in) const
|
||
{
|
||
out.X = in.X*M[0] + in.Y*M[4] + in.Z*M[8];
|
||
out.Y = in.X*M[1] + in.Y*M[5] + in.Z*M[9];
|
||
out.Z = in.X*M[2] + in.Y*M[6] + in.Z*M[10];
|
||
}
|
||
|
||
//! An alternate transform vector method, writing into an array of 3 floats
|
||
template <class T>
|
||
inline void CMatrix4<T>::rotateVect(T *out, const core::vector3df& in) const
|
||
{
|
||
out[0] = in.X*M[0] + in.Y*M[4] + in.Z*M[8];
|
||
out[1] = in.X*M[1] + in.Y*M[5] + in.Z*M[9];
|
||
out[2] = in.X*M[2] + in.Y*M[6] + in.Z*M[10];
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::inverseRotateVect( vector3df& vect ) const
|
||
{
|
||
vector3d<T> tmp(static_cast<T>(vect.X), static_cast<T>(vect.Y), static_cast<T>(vect.Z));
|
||
vect.X = static_cast<f32>(tmp.X*M[0] + tmp.Y*M[1] + tmp.Z*M[2]);
|
||
vect.Y = static_cast<f32>(tmp.X*M[4] + tmp.Y*M[5] + tmp.Z*M[6]);
|
||
vect.Z = static_cast<f32>(tmp.X*M[8] + tmp.Y*M[9] + tmp.Z*M[10]);
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformVect( vector3df& vect) const
|
||
{
|
||
T vector[3];
|
||
|
||
vector[0] = vect.X*M[0] + vect.Y*M[4] + vect.Z*M[8] + M[12];
|
||
vector[1] = vect.X*M[1] + vect.Y*M[5] + vect.Z*M[9] + M[13];
|
||
vector[2] = vect.X*M[2] + vect.Y*M[6] + vect.Z*M[10] + M[14];
|
||
|
||
vect.X = static_cast<f32>(vector[0]);
|
||
vect.Y = static_cast<f32>(vector[1]);
|
||
vect.Z = static_cast<f32>(vector[2]);
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformVect( vector3df& out, const vector3df& in) const
|
||
{
|
||
out.X = in.X*M[0] + in.Y*M[4] + in.Z*M[8] + M[12];
|
||
out.Y = in.X*M[1] + in.Y*M[5] + in.Z*M[9] + M[13];
|
||
out.Z = in.X*M[2] + in.Y*M[6] + in.Z*M[10] + M[14];
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformVect(T *out, const core::vector3df &in) const
|
||
{
|
||
out[0] = in.X*M[0] + in.Y*M[4] + in.Z*M[8] + M[12];
|
||
out[1] = in.X*M[1] + in.Y*M[5] + in.Z*M[9] + M[13];
|
||
out[2] = in.X*M[2] + in.Y*M[6] + in.Z*M[10] + M[14];
|
||
out[3] = in.X*M[3] + in.Y*M[7] + in.Z*M[11] + M[15];
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformVec3(T *out, const T * in) const
|
||
{
|
||
out[0] = in[0]*M[0] + in[1]*M[4] + in[2]*M[8] + M[12];
|
||
out[1] = in[0]*M[1] + in[1]*M[5] + in[2]*M[9] + M[13];
|
||
out[2] = in[0]*M[2] + in[1]*M[6] + in[2]*M[10] + M[14];
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformVec4(T *out, const T * in) const
|
||
{
|
||
out[0] = in[0]*M[0] + in[1]*M[4] + in[2]*M[8] + in[3]*M[12];
|
||
out[1] = in[0]*M[1] + in[1]*M[5] + in[2]*M[9] + in[3]*M[13];
|
||
out[2] = in[0]*M[2] + in[1]*M[6] + in[2]*M[10] + in[3]*M[14];
|
||
out[3] = in[0]*M[3] + in[1]*M[7] + in[2]*M[11] + in[3]*M[15];
|
||
}
|
||
|
||
|
||
//! Transforms a plane by this matrix
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformPlane( core::plane3d<f32> &plane) const
|
||
{
|
||
vector3df member;
|
||
// Transform the plane member point, i.e. rotate, translate and scale it.
|
||
transformVect(member, plane.getMemberPoint());
|
||
|
||
// Transform the normal by the transposed inverse of the matrix
|
||
CMatrix4<T> transposedInverse(*this, EM4CONST_INVERSE_TRANSPOSED);
|
||
vector3df normal = plane.Normal;
|
||
transposedInverse.rotateVect(normal);
|
||
plane.setPlane(member, normal.normalize());
|
||
}
|
||
|
||
//! Transforms a plane by this matrix
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformPlane( const core::plane3d<f32> &in, core::plane3d<f32> &out) const
|
||
{
|
||
out = in;
|
||
transformPlane( out );
|
||
}
|
||
|
||
//! Transforms the edge-points of a bounding box
|
||
//! Deprecated as it's usually not what people need (regards only 2 corners, but other corners might be outside the box after transformation)
|
||
//! Use transformBoxEx instead.
|
||
template <class T>
|
||
IRR_DEPRECATED inline void CMatrix4<T>::transformBox(core::aabbox3d<f32>& box) const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if (isIdentity())
|
||
return;
|
||
#endif
|
||
|
||
transformVect(box.MinEdge);
|
||
transformVect(box.MaxEdge);
|
||
box.repair();
|
||
}
|
||
|
||
//! Transforms a axis aligned bounding box more accurately than transformBox()
|
||
template <class T>
|
||
inline void CMatrix4<T>::transformBoxEx(core::aabbox3d<f32>& box) const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if (isIdentity())
|
||
return;
|
||
#endif
|
||
|
||
const f32 Amin[3] = {box.MinEdge.X, box.MinEdge.Y, box.MinEdge.Z};
|
||
const f32 Amax[3] = {box.MaxEdge.X, box.MaxEdge.Y, box.MaxEdge.Z};
|
||
|
||
f32 Bmin[3];
|
||
f32 Bmax[3];
|
||
|
||
Bmin[0] = Bmax[0] = M[12];
|
||
Bmin[1] = Bmax[1] = M[13];
|
||
Bmin[2] = Bmax[2] = M[14];
|
||
|
||
const CMatrix4<T> &m = *this;
|
||
|
||
for (u32 i = 0; i < 3; ++i)
|
||
{
|
||
for (u32 j = 0; j < 3; ++j)
|
||
{
|
||
const f32 a = m(j,i) * Amin[j];
|
||
const f32 b = m(j,i) * Amax[j];
|
||
|
||
if (a < b)
|
||
{
|
||
Bmin[i] += a;
|
||
Bmax[i] += b;
|
||
}
|
||
else
|
||
{
|
||
Bmin[i] += b;
|
||
Bmax[i] += a;
|
||
}
|
||
}
|
||
}
|
||
|
||
box.MinEdge.X = Bmin[0];
|
||
box.MinEdge.Y = Bmin[1];
|
||
box.MinEdge.Z = Bmin[2];
|
||
|
||
box.MaxEdge.X = Bmax[0];
|
||
box.MaxEdge.Y = Bmax[1];
|
||
box.MaxEdge.Z = Bmax[2];
|
||
}
|
||
|
||
|
||
//! Multiplies this matrix by a 1x4 matrix
|
||
template <class T>
|
||
inline void CMatrix4<T>::multiplyWith1x4Matrix(T* matrix) const
|
||
{
|
||
/*
|
||
0 1 2 3
|
||
4 5 6 7
|
||
8 9 10 11
|
||
12 13 14 15
|
||
*/
|
||
|
||
T mat[4];
|
||
mat[0] = matrix[0];
|
||
mat[1] = matrix[1];
|
||
mat[2] = matrix[2];
|
||
mat[3] = matrix[3];
|
||
|
||
matrix[0] = M[0]*mat[0] + M[4]*mat[1] + M[8]*mat[2] + M[12]*mat[3];
|
||
matrix[1] = M[1]*mat[0] + M[5]*mat[1] + M[9]*mat[2] + M[13]*mat[3];
|
||
matrix[2] = M[2]*mat[0] + M[6]*mat[1] + M[10]*mat[2] + M[14]*mat[3];
|
||
matrix[3] = M[3]*mat[0] + M[7]*mat[1] + M[11]*mat[2] + M[15]*mat[3];
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::inverseTranslateVect( vector3df& vect ) const
|
||
{
|
||
vect.X = vect.X-M[12];
|
||
vect.Y = vect.Y-M[13];
|
||
vect.Z = vect.Z-M[14];
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::translateVect( vector3df& vect ) const
|
||
{
|
||
vect.X = vect.X+M[12];
|
||
vect.Y = vect.Y+M[13];
|
||
vect.Z = vect.Z+M[14];
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline bool CMatrix4<T>::getInverse(CMatrix4<T>& out) const
|
||
{
|
||
/// Calculates the inverse of this Matrix
|
||
/// The inverse is calculated using Cramers rule.
|
||
/// If no inverse exists then 'false' is returned.
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if ( this->isIdentity() )
|
||
{
|
||
out=*this;
|
||
return true;
|
||
}
|
||
#endif
|
||
const CMatrix4<T> &m = *this;
|
||
|
||
f32 d = (m[0] * m[5] - m[1] * m[4]) * (m[10] * m[15] - m[11] * m[14]) -
|
||
(m[0] * m[6] - m[2] * m[4]) * (m[9] * m[15] - m[11] * m[13]) +
|
||
(m[0] * m[7] - m[3] * m[4]) * (m[9] * m[14] - m[10] * m[13]) +
|
||
(m[1] * m[6] - m[2] * m[5]) * (m[8] * m[15] - m[11] * m[12]) -
|
||
(m[1] * m[7] - m[3] * m[5]) * (m[8] * m[14] - m[10] * m[12]) +
|
||
(m[2] * m[7] - m[3] * m[6]) * (m[8] * m[13] - m[9] * m[12]);
|
||
|
||
if( core::iszero ( d, FLT_MIN ) )
|
||
return false;
|
||
|
||
d = core::reciprocal ( d );
|
||
|
||
out[0] = d * (m[5] * (m[10] * m[15] - m[11] * m[14]) +
|
||
m[6] * (m[11] * m[13] - m[9] * m[15]) +
|
||
m[7] * (m[9] * m[14] - m[10] * m[13]));
|
||
out[1] = d * (m[9] * (m[2] * m[15] - m[3] * m[14]) +
|
||
m[10] * (m[3] * m[13] - m[1] * m[15]) +
|
||
m[11] * (m[1] * m[14] - m[2] * m[13]));
|
||
out[2] = d * (m[13] * (m[2] * m[7] - m[3] * m[6]) +
|
||
m[14] * (m[3] * m[5] - m[1] * m[7]) +
|
||
m[15] * (m[1] * m[6] - m[2] * m[5]));
|
||
out[3] = d * (m[1] * (m[7] * m[10] - m[6] * m[11]) +
|
||
m[2] * (m[5] * m[11] - m[7] * m[9]) +
|
||
m[3] * (m[6] * m[9] - m[5] * m[10]));
|
||
out[4] = d * (m[6] * (m[8] * m[15] - m[11] * m[12]) +
|
||
m[7] * (m[10] * m[12] - m[8] * m[14]) +
|
||
m[4] * (m[11] * m[14] - m[10] * m[15]));
|
||
out[5] = d * (m[10] * (m[0] * m[15] - m[3] * m[12]) +
|
||
m[11] * (m[2] * m[12] - m[0] * m[14]) +
|
||
m[8] * (m[3] * m[14] - m[2] * m[15]));
|
||
out[6] = d * (m[14] * (m[0] * m[7] - m[3] * m[4]) +
|
||
m[15] * (m[2] * m[4] - m[0] * m[6]) +
|
||
m[12] * (m[3] * m[6] - m[2] * m[7]));
|
||
out[7] = d * (m[2] * (m[7] * m[8] - m[4] * m[11]) +
|
||
m[3] * (m[4] * m[10] - m[6] * m[8]) +
|
||
m[0] * (m[6] * m[11] - m[7] * m[10]));
|
||
out[8] = d * (m[7] * (m[8] * m[13] - m[9] * m[12]) +
|
||
m[4] * (m[9] * m[15] - m[11] * m[13]) +
|
||
m[5] * (m[11] * m[12] - m[8] * m[15]));
|
||
out[9] = d * (m[11] * (m[0] * m[13] - m[1] * m[12]) +
|
||
m[8] * (m[1] * m[15] - m[3] * m[13]) +
|
||
m[9] * (m[3] * m[12] - m[0] * m[15]));
|
||
out[10] = d * (m[15] * (m[0] * m[5] - m[1] * m[4]) +
|
||
m[12] * (m[1] * m[7] - m[3] * m[5]) +
|
||
m[13] * (m[3] * m[4] - m[0] * m[7]));
|
||
out[11] = d * (m[3] * (m[5] * m[8] - m[4] * m[9]) +
|
||
m[0] * (m[7] * m[9] - m[5] * m[11]) +
|
||
m[1] * (m[4] * m[11] - m[7] * m[8]));
|
||
out[12] = d * (m[4] * (m[10] * m[13] - m[9] * m[14]) +
|
||
m[5] * (m[8] * m[14] - m[10] * m[12]) +
|
||
m[6] * (m[9] * m[12] - m[8] * m[13]));
|
||
out[13] = d * (m[8] * (m[2] * m[13] - m[1] * m[14]) +
|
||
m[9] * (m[0] * m[14] - m[2] * m[12]) +
|
||
m[10] * (m[1] * m[12] - m[0] * m[13]));
|
||
out[14] = d * (m[12] * (m[2] * m[5] - m[1] * m[6]) +
|
||
m[13] * (m[0] * m[6] - m[2] * m[4]) +
|
||
m[14] * (m[1] * m[4] - m[0] * m[5]));
|
||
out[15] = d * (m[0] * (m[5] * m[10] - m[6] * m[9]) +
|
||
m[1] * (m[6] * m[8] - m[4] * m[10]) +
|
||
m[2] * (m[4] * m[9] - m[5] * m[8]));
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
out.definitelyIdentityMatrix = definitelyIdentityMatrix;
|
||
#endif
|
||
return true;
|
||
}
|
||
|
||
|
||
//! Inverts a primitive matrix which only contains a translation and a rotation
|
||
//! \param out: where result matrix is written to.
|
||
template <class T>
|
||
inline bool CMatrix4<T>::getInversePrimitive ( CMatrix4<T>& out ) const
|
||
{
|
||
out.M[0 ] = M[0];
|
||
out.M[1 ] = M[4];
|
||
out.M[2 ] = M[8];
|
||
out.M[3 ] = 0;
|
||
|
||
out.M[4 ] = M[1];
|
||
out.M[5 ] = M[5];
|
||
out.M[6 ] = M[9];
|
||
out.M[7 ] = 0;
|
||
|
||
out.M[8 ] = M[2];
|
||
out.M[9 ] = M[6];
|
||
out.M[10] = M[10];
|
||
out.M[11] = 0;
|
||
|
||
out.M[12] = (T)-(M[12]*M[0] + M[13]*M[1] + M[14]*M[2]);
|
||
out.M[13] = (T)-(M[12]*M[4] + M[13]*M[5] + M[14]*M[6]);
|
||
out.M[14] = (T)-(M[12]*M[8] + M[13]*M[9] + M[14]*M[10]);
|
||
out.M[15] = 1;
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
out.definitelyIdentityMatrix = definitelyIdentityMatrix;
|
||
#endif
|
||
return true;
|
||
}
|
||
|
||
/*!
|
||
*/
|
||
template <class T>
|
||
inline bool CMatrix4<T>::makeInverse()
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if (definitelyIdentityMatrix)
|
||
return true;
|
||
#endif
|
||
CMatrix4<T> temp ( EM4CONST_NOTHING );
|
||
|
||
if (getInverse(temp))
|
||
{
|
||
*this = temp;
|
||
return true;
|
||
}
|
||
|
||
return false;
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::operator=(const CMatrix4<T> &other)
|
||
{
|
||
if (this==&other)
|
||
return *this;
|
||
memcpy(M, other.M, 16*sizeof(T));
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=other.definitelyIdentityMatrix;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::operator=(const T& scalar)
|
||
{
|
||
for (s32 i = 0; i < 16; ++i)
|
||
M[i]=scalar;
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline bool CMatrix4<T>::operator==(const CMatrix4<T> &other) const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if (definitelyIdentityMatrix && other.definitelyIdentityMatrix)
|
||
return true;
|
||
#endif
|
||
for (s32 i = 0; i < 16; ++i)
|
||
if (M[i] != other.M[i])
|
||
return false;
|
||
|
||
return true;
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline bool CMatrix4<T>::operator!=(const CMatrix4<T> &other) const
|
||
{
|
||
return !(*this == other);
|
||
}
|
||
|
||
|
||
// Builds a perspective projection matrix
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixPerspectiveFov(T sx, T sy, T zNear, T zFar, bool zClipFromZero, T zSign)
|
||
{
|
||
IRR_DEBUG_BREAK_IF(zNear==zFar); //divide by zero
|
||
M[0] = sx;
|
||
M[1] = 0;
|
||
M[2] = 0;
|
||
M[3] = 0;
|
||
|
||
M[4] = 0;
|
||
M[5] = sy;
|
||
M[6] = 0;
|
||
M[7] = 0;
|
||
|
||
M[8] = 0;
|
||
M[9] = 0;
|
||
//M[10] below
|
||
M[11] = zSign;
|
||
|
||
M[12] = 0;
|
||
M[13] = 0;
|
||
//M[14] below
|
||
M[15] = 0;
|
||
|
||
if ( zClipFromZero ) // DirectX version
|
||
{
|
||
M[10] = zSign*zFar/(zFar-zNear);
|
||
M[14] = (T)(zNear*zFar/(zNear-zFar));
|
||
}
|
||
else // OpenGL version
|
||
{
|
||
M[10] = zSign*(zFar+zNear)/(zFar-zNear);
|
||
M[14] = (T)(2.0f*zNear*zFar/(zNear-zFar));
|
||
}
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
// Builds a right-handed perspective projection matrix based on a field of view
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixPerspectiveFovRH(
|
||
f32 fieldOfViewRadians, f32 aspectRatio, f32 zNear, f32 zFar, bool zClipFromZero)
|
||
{
|
||
const f64 sy = reciprocal(tan(fieldOfViewRadians*0.5));
|
||
IRR_DEBUG_BREAK_IF(aspectRatio==0.f); //divide by zero
|
||
const T sx = static_cast<T>(sy / aspectRatio);
|
||
return buildProjectionMatrixPerspectiveFov(sx, static_cast<T>(sy), zNear, zFar, zClipFromZero, (T)-1);
|
||
}
|
||
|
||
// Builds a left-handed perspective projection matrix based on a field of view
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixPerspectiveFovLH(
|
||
f32 fieldOfViewRadians, f32 aspectRatio, f32 zNear, f32 zFar, bool zClipFromZero)
|
||
{
|
||
const f64 sy = reciprocal(tan(fieldOfViewRadians*0.5));
|
||
IRR_DEBUG_BREAK_IF(aspectRatio==0.f); //divide by zero
|
||
const T sx = static_cast<T>(sy / aspectRatio);
|
||
return buildProjectionMatrixPerspectiveFov(sx, static_cast<T>(sy), zNear, zFar, zClipFromZero, (T)1);
|
||
}
|
||
|
||
// Builds a left-handed perspective projection matrix based on a field of view, with far plane culling at infinity
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixPerspectiveFovInfinityLH(
|
||
f32 fieldOfViewRadians, f32 aspectRatio, f32 zNear, f32 epsilon)
|
||
{
|
||
const f64 h = reciprocal(tan(fieldOfViewRadians*0.5));
|
||
IRR_DEBUG_BREAK_IF(aspectRatio==0.f); //divide by zero
|
||
const T w = static_cast<T>(h / aspectRatio);
|
||
|
||
M[0] = w;
|
||
M[1] = 0;
|
||
M[2] = 0;
|
||
M[3] = 0;
|
||
|
||
M[4] = 0;
|
||
M[5] = (T)h;
|
||
M[6] = 0;
|
||
M[7] = 0;
|
||
|
||
M[8] = 0;
|
||
M[9] = 0;
|
||
M[10] = (T)(1.f-epsilon);
|
||
M[11] = 1;
|
||
|
||
M[12] = 0;
|
||
M[13] = 0;
|
||
M[14] = (T)(zNear*(epsilon-1.f));
|
||
M[15] = 0;
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
// Builds a left-handed orthogonal projection matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixOrthoLH(
|
||
f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero)
|
||
{
|
||
IRR_DEBUG_BREAK_IF(widthOfViewVolume==0.f); //divide by zero
|
||
IRR_DEBUG_BREAK_IF(heightOfViewVolume==0.f); //divide by zero
|
||
IRR_DEBUG_BREAK_IF(zNear==zFar); //divide by zero
|
||
M[0] = (T)(2/widthOfViewVolume);
|
||
M[1] = 0;
|
||
M[2] = 0;
|
||
M[3] = 0;
|
||
|
||
M[4] = 0;
|
||
M[5] = (T)(2/heightOfViewVolume);
|
||
M[6] = 0;
|
||
M[7] = 0;
|
||
|
||
M[8] = 0;
|
||
M[9] = 0;
|
||
// M[10]
|
||
M[11] = 0;
|
||
|
||
M[12] = 0;
|
||
M[13] = 0;
|
||
// M[14]
|
||
M[15] = 1;
|
||
|
||
if ( zClipFromZero )
|
||
{
|
||
M[10] = (T)(1/(zFar-zNear));
|
||
M[14] = (T)(zNear/(zNear-zFar));
|
||
}
|
||
else
|
||
{
|
||
M[10] = (T)(2/(zFar-zNear));
|
||
M[14] = (T)-(zFar+zNear)/(zFar-zNear);
|
||
}
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
// Builds a right-handed orthogonal projection matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixOrthoRH(
|
||
f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero)
|
||
{
|
||
IRR_DEBUG_BREAK_IF(widthOfViewVolume==0.f); //divide by zero
|
||
IRR_DEBUG_BREAK_IF(heightOfViewVolume==0.f); //divide by zero
|
||
IRR_DEBUG_BREAK_IF(zNear==zFar); //divide by zero
|
||
M[0] = (T)(2/widthOfViewVolume);
|
||
M[1] = 0;
|
||
M[2] = 0;
|
||
M[3] = 0;
|
||
|
||
M[4] = 0;
|
||
M[5] = (T)(2/heightOfViewVolume);
|
||
M[6] = 0;
|
||
M[7] = 0;
|
||
|
||
M[8] = 0;
|
||
M[9] = 0;
|
||
// M[10]
|
||
M[11] = 0;
|
||
|
||
M[12] = 0;
|
||
M[13] = 0;
|
||
// M[14]
|
||
M[15] = 1;
|
||
|
||
if ( zClipFromZero )
|
||
{
|
||
M[10] = (T)(1/(zNear-zFar));
|
||
M[14] = (T)(zNear/(zNear-zFar));
|
||
}
|
||
else
|
||
{
|
||
M[10] = (T)(2/(zNear-zFar));
|
||
M[14] = (T)-(zFar+zNear)/(zFar-zNear);
|
||
}
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
// Builds a right-handed perspective projection matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixPerspectiveRH(
|
||
f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero)
|
||
{
|
||
IRR_DEBUG_BREAK_IF(widthOfViewVolume==0.f); //divide by zero
|
||
IRR_DEBUG_BREAK_IF(heightOfViewVolume==0.f); //divide by zero
|
||
const T sx = (T)(2*zNear/widthOfViewVolume);
|
||
const T sy = (T)(2*zNear/heightOfViewVolume);
|
||
return buildProjectionMatrixPerspectiveFov(sx, sy, zNear, zFar, zClipFromZero, (T)-1);
|
||
}
|
||
|
||
// Builds a left-handed perspective projection matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildProjectionMatrixPerspectiveLH(
|
||
f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar, bool zClipFromZero)
|
||
{
|
||
IRR_DEBUG_BREAK_IF(widthOfViewVolume==0.f); //divide by zero
|
||
IRR_DEBUG_BREAK_IF(heightOfViewVolume==0.f); //divide by zero
|
||
const T sx = (T)(2*zNear/widthOfViewVolume);
|
||
const T sy = (T)(2*zNear/heightOfViewVolume);
|
||
|
||
return buildProjectionMatrixPerspectiveFov(sx, sy, zNear, zFar, zClipFromZero, (T)1);
|
||
}
|
||
|
||
|
||
// Builds a matrix that flattens geometry into a plane.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildShadowMatrix(const core::vector3df& light, core::plane3df plane, f32 point)
|
||
{
|
||
plane.Normal.normalize();
|
||
const f32 d = plane.Normal.dotProduct(light);
|
||
|
||
M[ 0] = (T)(-plane.Normal.X * light.X + d);
|
||
M[ 1] = (T)(-plane.Normal.X * light.Y);
|
||
M[ 2] = (T)(-plane.Normal.X * light.Z);
|
||
M[ 3] = (T)(-plane.Normal.X * point);
|
||
|
||
M[ 4] = (T)(-plane.Normal.Y * light.X);
|
||
M[ 5] = (T)(-plane.Normal.Y * light.Y + d);
|
||
M[ 6] = (T)(-plane.Normal.Y * light.Z);
|
||
M[ 7] = (T)(-plane.Normal.Y * point);
|
||
|
||
M[ 8] = (T)(-plane.Normal.Z * light.X);
|
||
M[ 9] = (T)(-plane.Normal.Z * light.Y);
|
||
M[10] = (T)(-plane.Normal.Z * light.Z + d);
|
||
M[11] = (T)(-plane.Normal.Z * point);
|
||
|
||
M[12] = (T)(-plane.D * light.X);
|
||
M[13] = (T)(-plane.D * light.Y);
|
||
M[14] = (T)(-plane.D * light.Z);
|
||
M[15] = (T)(-plane.D * point + d);
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
// Builds a left-handed look-at matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildCameraLookAtMatrixLH(
|
||
const vector3df& position,
|
||
const vector3df& target,
|
||
const vector3df& upVector)
|
||
{
|
||
vector3df zaxis = target - position;
|
||
zaxis.normalize_z();
|
||
|
||
vector3df xaxis = normalize_y(upVector).crossProduct(zaxis);
|
||
xaxis.normalize_x();
|
||
|
||
vector3df yaxis = zaxis.crossProduct(xaxis);
|
||
|
||
M[0] = (T)xaxis.X;
|
||
M[1] = (T)yaxis.X;
|
||
M[2] = (T)zaxis.X;
|
||
M[3] = 0;
|
||
|
||
M[4] = (T)xaxis.Y;
|
||
M[5] = (T)yaxis.Y;
|
||
M[6] = (T)zaxis.Y;
|
||
M[7] = 0;
|
||
|
||
M[8] = (T)xaxis.Z;
|
||
M[9] = (T)yaxis.Z;
|
||
M[10] = (T)zaxis.Z;
|
||
M[11] = 0;
|
||
|
||
M[12] = (T)-xaxis.dotProduct(position);
|
||
M[13] = (T)-yaxis.dotProduct(position);
|
||
M[14] = (T)-zaxis.dotProduct(position);
|
||
M[15] = 1;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
// Builds a right-handed look-at matrix.
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildCameraLookAtMatrixRH(
|
||
const vector3df& position,
|
||
const vector3df& target,
|
||
const vector3df& upVector)
|
||
{
|
||
vector3df zaxis = position - target;
|
||
zaxis.normalize();
|
||
|
||
vector3df xaxis = upVector.crossProduct(zaxis);
|
||
xaxis.normalize();
|
||
|
||
vector3df yaxis = zaxis.crossProduct(xaxis);
|
||
|
||
M[0] = (T)xaxis.X;
|
||
M[1] = (T)yaxis.X;
|
||
M[2] = (T)zaxis.X;
|
||
M[3] = 0;
|
||
|
||
M[4] = (T)xaxis.Y;
|
||
M[5] = (T)yaxis.Y;
|
||
M[6] = (T)zaxis.Y;
|
||
M[7] = 0;
|
||
|
||
M[8] = (T)xaxis.Z;
|
||
M[9] = (T)yaxis.Z;
|
||
M[10] = (T)zaxis.Z;
|
||
M[11] = 0;
|
||
|
||
M[12] = (T)-xaxis.dotProduct(position);
|
||
M[13] = (T)-yaxis.dotProduct(position);
|
||
M[14] = (T)-zaxis.dotProduct(position);
|
||
M[15] = 1;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
// creates a new matrix as interpolated matrix from this and the passed one.
|
||
template <class T>
|
||
inline CMatrix4<T> CMatrix4<T>::interpolate(const core::CMatrix4<T>& b, f32 time) const
|
||
{
|
||
CMatrix4<T> mat ( EM4CONST_NOTHING );
|
||
|
||
for (u32 i=0; i < 16; i += 4)
|
||
{
|
||
mat.M[i+0] = (T)(M[i+0] + ( b.M[i+0] - M[i+0] ) * time);
|
||
mat.M[i+1] = (T)(M[i+1] + ( b.M[i+1] - M[i+1] ) * time);
|
||
mat.M[i+2] = (T)(M[i+2] + ( b.M[i+2] - M[i+2] ) * time);
|
||
mat.M[i+3] = (T)(M[i+3] + ( b.M[i+3] - M[i+3] ) * time);
|
||
}
|
||
return mat;
|
||
}
|
||
|
||
|
||
// returns transposed matrix
|
||
template <class T>
|
||
inline CMatrix4<T> CMatrix4<T>::getTransposed() const
|
||
{
|
||
CMatrix4<T> t ( EM4CONST_NOTHING );
|
||
getTransposed ( t );
|
||
return t;
|
||
}
|
||
|
||
|
||
// returns transposed matrix
|
||
template <class T>
|
||
inline void CMatrix4<T>::getTransposed( CMatrix4<T>& o ) const
|
||
{
|
||
o[ 0] = M[ 0];
|
||
o[ 1] = M[ 4];
|
||
o[ 2] = M[ 8];
|
||
o[ 3] = M[12];
|
||
|
||
o[ 4] = M[ 1];
|
||
o[ 5] = M[ 5];
|
||
o[ 6] = M[ 9];
|
||
o[ 7] = M[13];
|
||
|
||
o[ 8] = M[ 2];
|
||
o[ 9] = M[ 6];
|
||
o[10] = M[10];
|
||
o[11] = M[14];
|
||
|
||
o[12] = M[ 3];
|
||
o[13] = M[ 7];
|
||
o[14] = M[11];
|
||
o[15] = M[15];
|
||
#if defined ( USE_MATRIX_TEST )
|
||
o.definitelyIdentityMatrix=definitelyIdentityMatrix;
|
||
#endif
|
||
}
|
||
|
||
|
||
// used to scale <-1,-1><1,1> to viewport
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildNDCToDCMatrix( const core::rect<s32>& viewport, f32 zScale)
|
||
{
|
||
const f32 scaleX = (viewport.getWidth() - 0.75f ) * 0.5f;
|
||
const f32 scaleY = -(viewport.getHeight() - 0.75f ) * 0.5f;
|
||
|
||
const f32 dx = -0.5f + ( (viewport.UpperLeftCorner.X + viewport.LowerRightCorner.X ) * 0.5f );
|
||
const f32 dy = -0.5f + ( (viewport.UpperLeftCorner.Y + viewport.LowerRightCorner.Y ) * 0.5f );
|
||
|
||
makeIdentity();
|
||
M[12] = (T)dx;
|
||
M[13] = (T)dy;
|
||
return setScale(core::vector3d<T>((T)scaleX, (T)scaleY, (T)zScale));
|
||
}
|
||
|
||
//! Builds a matrix that rotates from one vector to another
|
||
/** \param from: vector to rotate from
|
||
\param to: vector to rotate to
|
||
|
||
http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToMatrix/index.htm
|
||
*/
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildRotateFromTo(const core::vector3df& from, const core::vector3df& to)
|
||
{
|
||
// unit vectors
|
||
core::vector3df f(from);
|
||
core::vector3df t(to);
|
||
f.normalize();
|
||
t.normalize();
|
||
|
||
// axis multiplication by sin
|
||
core::vector3df vs(t.crossProduct(f));
|
||
|
||
// axis of rotation
|
||
core::vector3df v(vs);
|
||
v.normalize();
|
||
|
||
// cosine angle
|
||
T ca = f.dotProduct(t);
|
||
|
||
core::vector3df vt(v * (1 - ca));
|
||
|
||
M[0] = vt.X * v.X + ca;
|
||
M[5] = vt.Y * v.Y + ca;
|
||
M[10] = vt.Z * v.Z + ca;
|
||
|
||
vt.X *= v.Y;
|
||
vt.Z *= v.X;
|
||
vt.Y *= v.Z;
|
||
|
||
M[1] = vt.X - vs.Z;
|
||
M[2] = vt.Z + vs.Y;
|
||
M[3] = 0;
|
||
|
||
M[4] = vt.X + vs.Z;
|
||
M[6] = vt.Y - vs.X;
|
||
M[7] = 0;
|
||
|
||
M[8] = vt.Z - vs.Y;
|
||
M[9] = vt.Y + vs.X;
|
||
M[11] = 0;
|
||
|
||
M[12] = 0;
|
||
M[13] = 0;
|
||
M[14] = 0;
|
||
M[15] = 1;
|
||
|
||
return *this;
|
||
}
|
||
|
||
//! Builds a matrix which rotates a source vector to a look vector over an arbitrary axis
|
||
/** \param camPos: viewer position in world coord
|
||
\param center: object position in world-coord, rotation pivot
|
||
\param translation: object final translation from center
|
||
\param axis: axis to rotate about
|
||
\param from: source vector to rotate from
|
||
*/
|
||
template <class T>
|
||
inline void CMatrix4<T>::buildAxisAlignedBillboard(
|
||
const core::vector3df& camPos,
|
||
const core::vector3df& center,
|
||
const core::vector3df& translation,
|
||
const core::vector3df& axis,
|
||
const core::vector3df& from)
|
||
{
|
||
// axis of rotation
|
||
core::vector3df up = axis;
|
||
up.normalize();
|
||
const core::vector3df forward = (camPos - center).normalize();
|
||
const core::vector3df right = up.crossProduct(forward).normalize();
|
||
|
||
// correct look vector
|
||
const core::vector3df look = right.crossProduct(up);
|
||
|
||
// rotate from to
|
||
// axis multiplication by sin
|
||
const core::vector3df vs = look.crossProduct(from);
|
||
|
||
// cosine angle
|
||
const f32 ca = from.dotProduct(look);
|
||
|
||
core::vector3df vt(up * (1.f - ca));
|
||
|
||
M[0] = static_cast<T>(vt.X * up.X + ca);
|
||
M[5] = static_cast<T>(vt.Y * up.Y + ca);
|
||
M[10] = static_cast<T>(vt.Z * up.Z + ca);
|
||
|
||
vt.X *= up.Y;
|
||
vt.Z *= up.X;
|
||
vt.Y *= up.Z;
|
||
|
||
M[1] = static_cast<T>(vt.X - vs.Z);
|
||
M[2] = static_cast<T>(vt.Z + vs.Y);
|
||
M[3] = 0;
|
||
|
||
M[4] = static_cast<T>(vt.X + vs.Z);
|
||
M[6] = static_cast<T>(vt.Y - vs.X);
|
||
M[7] = 0;
|
||
|
||
M[8] = static_cast<T>(vt.Z - vs.Y);
|
||
M[9] = static_cast<T>(vt.Y + vs.X);
|
||
M[11] = 0;
|
||
|
||
setRotationCenter(center, translation);
|
||
}
|
||
|
||
|
||
//! Builds a combined matrix which translate to a center before rotation and translate afterward
|
||
template <class T>
|
||
inline void CMatrix4<T>::setRotationCenter(const core::vector3df& center, const core::vector3df& translation)
|
||
{
|
||
M[12] = -M[0]*center.X - M[4]*center.Y - M[8]*center.Z + (center.X - translation.X );
|
||
M[13] = -M[1]*center.X - M[5]*center.Y - M[9]*center.Z + (center.Y - translation.Y );
|
||
M[14] = -M[2]*center.X - M[6]*center.Y - M[10]*center.Z + (center.Z - translation.Z );
|
||
M[15] = (T) 1.0;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
}
|
||
|
||
/*!
|
||
Generate texture coordinates as linear functions so that:
|
||
u = Ux*x + Uy*y + Uz*z + Uw
|
||
v = Vx*x + Vy*y + Vz*z + Vw
|
||
The matrix M for this case is:
|
||
Ux Vx 0 0
|
||
Uy Vy 0 0
|
||
Uz Vz 0 0
|
||
Uw Vw 0 0
|
||
*/
|
||
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::buildTextureTransform( f32 rotateRad,
|
||
const core::vector2df &rotatecenter,
|
||
const core::vector2df &translate,
|
||
const core::vector2df &scale)
|
||
{
|
||
const f32 c = cosf(rotateRad);
|
||
const f32 s = sinf(rotateRad);
|
||
|
||
M[0] = (T)(c * scale.X);
|
||
M[1] = (T)(s * scale.Y);
|
||
M[2] = 0;
|
||
M[3] = 0;
|
||
|
||
M[4] = (T)(-s * scale.X);
|
||
M[5] = (T)(c * scale.Y);
|
||
M[6] = 0;
|
||
M[7] = 0;
|
||
|
||
M[8] = (T)(c * scale.X * rotatecenter.X + -s * rotatecenter.Y + translate.X);
|
||
M[9] = (T)(s * scale.Y * rotatecenter.X + c * rotatecenter.Y + translate.Y);
|
||
M[10] = 1;
|
||
M[11] = 0;
|
||
|
||
M[12] = 0;
|
||
M[13] = 0;
|
||
M[14] = 0;
|
||
M[15] = 1;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
// rotate about z axis, center ( 0.5, 0.5 )
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setTextureRotationCenter( f32 rotateRad )
|
||
{
|
||
const f32 c = cosf(rotateRad);
|
||
const f32 s = sinf(rotateRad);
|
||
M[0] = (T)c;
|
||
M[1] = (T)s;
|
||
|
||
M[4] = (T)-s;
|
||
M[5] = (T)c;
|
||
|
||
M[8] = (T)(0.5f * ( s - c) + 0.5f);
|
||
M[9] = (T)(-0.5f * ( s + c) + 0.5f);
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix = definitelyIdentityMatrix && (rotateRad==0.0f);
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setTextureTranslate ( f32 x, f32 y )
|
||
{
|
||
M[8] = (T)x;
|
||
M[9] = (T)y;
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix = definitelyIdentityMatrix && (x==0.0f) && (y==0.0f);
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::getTextureTranslate(f32& x, f32& y) const
|
||
{
|
||
x = (f32)M[8];
|
||
y = (f32)M[9];
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setTextureTranslateTransposed ( f32 x, f32 y )
|
||
{
|
||
M[2] = (T)x;
|
||
M[6] = (T)y;
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix = definitelyIdentityMatrix && (x==0.0f) && (y==0.0f);
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setTextureScale ( f32 sx, f32 sy )
|
||
{
|
||
M[0] = (T)sx;
|
||
M[5] = (T)sy;
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix = definitelyIdentityMatrix && (sx==1.0f) && (sy==1.0f);
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
template <class T>
|
||
inline void CMatrix4<T>::getTextureScale ( f32& sx, f32& sy ) const
|
||
{
|
||
sx = (f32)M[0];
|
||
sy = (f32)M[5];
|
||
}
|
||
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setTextureScaleCenter( f32 sx, f32 sy )
|
||
{
|
||
M[0] = (T)sx;
|
||
M[5] = (T)sy;
|
||
M[8] = (T)(0.5f - 0.5f * sx);
|
||
M[9] = (T)(0.5f - 0.5f * sy);
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix = definitelyIdentityMatrix && (sx==1.0f) && (sy==1.0f);
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
// sets all matrix data members at once
|
||
template <class T>
|
||
inline CMatrix4<T>& CMatrix4<T>::setM(const T* data)
|
||
{
|
||
memcpy(M,data, 16*sizeof(T));
|
||
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix=false;
|
||
#endif
|
||
return *this;
|
||
}
|
||
|
||
|
||
// sets if the matrix is definitely identity matrix
|
||
template <class T>
|
||
inline void CMatrix4<T>::setDefinitelyIdentityMatrix( bool isDefinitelyIdentityMatrix)
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
definitelyIdentityMatrix = isDefinitelyIdentityMatrix;
|
||
#else
|
||
(void)isDefinitelyIdentityMatrix; // prevent compiler warning
|
||
#endif
|
||
}
|
||
|
||
|
||
// gets if the matrix is definitely identity matrix
|
||
template <class T>
|
||
inline bool CMatrix4<T>::getDefinitelyIdentityMatrix() const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
return definitelyIdentityMatrix;
|
||
#else
|
||
return false;
|
||
#endif
|
||
}
|
||
|
||
|
||
//! Compare two matrices using the equal method
|
||
template <class T>
|
||
inline bool CMatrix4<T>::equals(const core::CMatrix4<T>& other, const T tolerance) const
|
||
{
|
||
#if defined ( USE_MATRIX_TEST )
|
||
if (definitelyIdentityMatrix && other.definitelyIdentityMatrix)
|
||
return true;
|
||
#endif
|
||
for (s32 i = 0; i < 16; ++i)
|
||
if (!core::equals(M[i],other.M[i], tolerance))
|
||
return false;
|
||
|
||
return true;
|
||
}
|
||
|
||
|
||
// Multiply by scalar.
|
||
template <class T>
|
||
inline CMatrix4<T> operator*(const T scalar, const CMatrix4<T>& mat)
|
||
{
|
||
return mat*scalar;
|
||
}
|
||
|
||
|
||
//! Typedef for f32 matrix
|
||
typedef CMatrix4<f32> matrix4;
|
||
|
||
//! global const identity matrix
|
||
IRRLICHT_API extern const matrix4 IdentityMatrix;
|
||
|
||
} // end namespace core
|
||
} // end namespace irr
|
||
|
||
#endif
|