moMathMatrix.h File Reference

#include "moMathVector.h"
#include "moMathVector3.h"
#include "moMathVector4.h"

Go to the source code of this file.

Classes
class	moMatrix2< Real >

Typedefs
typedef moMatrix2< MOfloat >	moMatrix2f
typedef moMatrix2< MOdouble >	moMatrix2d
typedef moMatrix3< MOfloat >	moMatrix3f
typedef moMatrix3< MOdouble >	moMatrix3d
typedef moMatrix4< MOfloat >	moMatrix4f
typedef moMatrix4< MOdouble >	moMatrix4d

Functions
template<class Real >
moMatrix2< Real >	operator* (Real fScalar, const moMatrix2< Real > &rkM)
template<class Real >
moVector2< Real >	operator* (const moVector2< Real > &rkV, const moMatrix2< Real > &rkM)
	moDeclareExportedDynamicArray (moMatrix2f, moMatrix2fArray)
	moDeclareExportedDynamicArray (moMatrix2d, moMatrix2dArray) template< class Real > class LIBMOLDEO_API moMatrix3
	moMatrix3 (const moMatrix3 &rkM)
	moMatrix3 (Real fM00, Real fM01, Real fM02, Real fM10, Real fM11, Real fM12, Real fM20, Real fM21, Real fM22)
	moMatrix3 (const Real afEntry[9], bool bRowMajor)
	moMatrix3 (const moVector3< Real > &rkU, const moVector3< Real > &rkV, const moVector3< Real > &rkW, bool bColumns)
	moMatrix3 (const moVector3< Real > *akV, bool bColumns)
	moMatrix3 (Real fM00, Real fM11, Real fM22)
	moMatrix3 (const moVector3< Real > &rkAxis, Real fAngle)
	moMatrix3 (const moVector3< Real > &rkU, const moVector3< Real > &rkV)
moMatrix3< Real > &	MakeZero ()
moMatrix3< Real > &	MakeIdentity ()
moMatrix3< Real > &	MakeDiagonal (Real fM00, Real fM11, Real fM22)
moMatrix3< Real > &	FromAxisAngle (const moVector3< Real > &rkAxis, Real fAngle)
moMatrix3< Real > &	MakeTensorProduct (const moVector3< Real > &rkU, const moVector3< Real > &rkV)
void	SetRow (int iRow, const moVector3< Real > &rkV)
moVector3< Real >	GetRow (int iRow) const
void	SetColumn (int iCol, const moVector3< Real > &rkV)
moVector3< Real >	GetColumn (int iCol) const
void	GetColumnMajor (Real *afCMajor) const
bool	operator== (const moMatrix3 &rkM) const
bool	operator!= (const moMatrix3 &rkM) const
bool	operator< (const moMatrix3 &rkM) const
bool	operator<= (const moMatrix3 &rkM) const
bool	operator> (const moMatrix3 &rkM) const
bool	operator>= (const moMatrix3 &rkM) const
moMatrix3< Real >	Transpose () const
moMatrix3< Real >	TransposeTimes (const moMatrix3 &rkM) const
moMatrix3< Real >	TimesTranspose (const moMatrix3 &rkM) const
moMatrix3< Real >	Inverse () const
moMatrix3< Real >	Adjoint () const
Real	Determinant () const
Real	QForm (const moVector3< Real > &rkU, const moVector3< Real > &rkV) const
moMatrix3< Real >	TimesDiagonal (const moVector3< Real > &rkDiag) const
moMatrix3< Real >	DiagonalTimes (const moVector3< Real > &rkDiag) const
void	ToAxisAngle (moVector3< Real > &rkAxis, Real &rfAngle) const
void	Orthonormalize ()
void	EigenDecomposition (moMatrix3 &rkRot, moMatrix3 &rkDiag) const
moMatrix3< Real > &	FromEulerAnglesXYZ (Real fXAngle, Real fYAngle, Real fZAngle)
moMatrix3< Real > &	FromEulerAnglesXZY (Real fXAngle, Real fZAngle, Real fYAngle)
moMatrix3< Real > &	FromEulerAnglesYXZ (Real fYAngle, Real fXAngle, Real fZAngle)
moMatrix3< Real > &	FromEulerAnglesYZX (Real fYAngle, Real fZAngle, Real fXAngle)
moMatrix3< Real > &	FromEulerAnglesZXY (Real fZAngle, Real fXAngle, Real fYAngle)
moMatrix3< Real > &	FromEulerAnglesZYX (Real fZAngle, Real fYAngle, Real fXAngle)
bool	ToEulerAnglesXYZ (Real &rfXAngle, Real &rfYAngle, Real &rfZAngle) const
bool	ToEulerAnglesXZY (Real &rfXAngle, Real &rfZAngle, Real &rfYAngle) const
bool	ToEulerAnglesYXZ (Real &rfYAngle, Real &rfXAngle, Real &rfZAngle) const
bool	ToEulerAnglesYZX (Real &rfYAngle, Real &rfZAngle, Real &rfXAngle) const
bool	ToEulerAnglesZXY (Real &rfZAngle, Real &rfXAngle, Real &rfYAngle) const
bool	ToEulerAnglesZYX (Real &rfZAngle, Real &rfYAngle, Real &rfXAngle) const
moMatrix3< Real > &	Slerp (Real fT, const moMatrix3 &rkR0, const moMatrix3 &rkR1)
void	SingularValueDecomposition (moMatrix3 &rkL, moMatrix3 &rkD, moMatrix3 &rkRTranspose) const
void	SingularValueComposition (const moMatrix3 &rkL, const moMatrix3 &rkD, const moMatrix3 &rkRTranspose)
void	PolarDecomposition (moMatrix3 &rkQ, moMatrix3 &rkS)
void	QDUDecomposition (moMatrix3 &rkQ, moMatrix3 &rkD, moMatrix3 &rkU) const
	operator const Real * () const
	operator Real * ()
const Real *	operator[] (int iRow) const
Real	operator() (int iRow, int iCol) const
moMatrix3 &	operator= (const moMatrix3 &rkM)
moMatrix3	operator+ (const moMatrix3 &rkM) const
moMatrix3	operator- (const moMatrix3 &rkM) const
moMatrix3	operator* (const moMatrix3 &rkM) const
moMatrix3	operator* (Real fScalar) const
moMatrix3	operator/ (Real fScalar) const
moMatrix3	operator- () const
moMatrix3 &	operator+= (const moMatrix3 &rkM)
moMatrix3 &	operator-= (const moMatrix3 &rkM)
moMatrix3 &	operator*= (Real fScalar)
moMatrix3 &	operator/= (Real fScalar)
moVector3< Real >	operator* (const moVector3< Real > &rkV) const

Variables
template class LIBMOLDEO_API	moMatrix2< MOfloat >
template class LIBMOLDEO_API	moMatrix2< MOdouble >
Real	m_afEntry [9]
template class LIBMOLDEO_API	moMatrix3< MOfloat >
template class LIBMOLDEO_API	moMatrix3< MOdouble >
template class LIBMOLDEO_API	moMatrix4< MOfloat >
template class LIBMOLDEO_API	moMatrix4< MOdouble >

Typedef Documentation

typedef moMatrix2<MOdouble> moMatrix2d

Definition at line 639 of file moMathMatrix.h.

typedef moMatrix2<MOfloat> moMatrix2f

Definition at line 632 of file moMathMatrix.h.

typedef moMatrix3<MOdouble> moMatrix3d

Definition at line 2878 of file moMathMatrix.h.

typedef moMatrix3<MOfloat> moMatrix3f

Definition at line 2869 of file moMathMatrix.h.

typedef moMatrix4<MOdouble> moMatrix4d

Definition at line 3976 of file moMathMatrix.h.

typedef moMatrix4<MOfloat> moMatrix4f

Definition at line 3967 of file moMathMatrix.h.

Function Documentation

moMatrix3<Real> Adjoint

(

)

const

Definition at line 1128 of file moMathMatrix.h.

Real Determinant

(

)

const

Definition at line 1143 of file moMathMatrix.h.

moMatrix3<Real> DiagonalTimes

(

const moVector3< Real > &

rkDiag

)

const

Definition at line 1169 of file moMathMatrix.h.

void EigenDecomposition	(	moMatrix3 &	rkRot,
		moMatrix3 &	rkDiag
	)		const

Definition at line 1331 of file moMathMatrix.h.

moMatrix3<Real>& FromAxisAngle	(	const moVector3< Real > &	rkAxis,
		Real	fAngle
	)

Definition at line 849 of file moMathMatrix.h.

moMatrix3<Real>& FromEulerAnglesXYZ	(	Real	fXAngle,
		Real	fYAngle,
		Real	fZAngle
	)

Definition at line 1410 of file moMathMatrix.h.

moMatrix3<Real>& FromEulerAnglesXZY	(	Real	fXAngle,
		Real	fZAngle,
		Real	fYAngle
	)

Definition at line 1441 of file moMathMatrix.h.

moMatrix3<Real>& FromEulerAnglesYXZ	(	Real	fYAngle,
		Real	fXAngle,
		Real	fZAngle
	)

Definition at line 1472 of file moMathMatrix.h.

moMatrix3<Real>& FromEulerAnglesYZX	(	Real	fYAngle,
		Real	fZAngle,
		Real	fXAngle
	)

Definition at line 1503 of file moMathMatrix.h.

moMatrix3<Real>& FromEulerAnglesZXY	(	Real	fZAngle,
		Real	fXAngle,
		Real	fYAngle
	)

Definition at line 1534 of file moMathMatrix.h.

moMatrix3<Real>& FromEulerAnglesZYX	(	Real	fZAngle,
		Real	fYAngle,
		Real	fXAngle
	)

Definition at line 1565 of file moMathMatrix.h.

moVector3<Real> GetColumn

(

int

iCol

)

const

Definition at line 919 of file moMathMatrix.h.

void GetColumnMajor

(

Real *

afCMajor

)

const

Definition at line 925 of file moMathMatrix.h.

moVector3<Real> GetRow

(

int

iRow

)

const

Definition at line 904 of file moMathMatrix.h.

moMatrix3<Real> Inverse

(

)

const

Definition at line 1077 of file moMathMatrix.h.

moMatrix3<Real>& MakeDiagonal	(	Real	fM00,
		Real	fM11,
		Real	fM22
	)

Definition at line 834 of file moMathMatrix.h.

moMatrix3<Real>& MakeIdentity

(

)

Definition at line 819 of file moMathMatrix.h.

moMatrix3<Real>& MakeTensorProduct	(	const moVector3< Real > &	rkU,
		const moVector3< Real > &	rkV
	)

Definition at line 879 of file moMathMatrix.h.

moMatrix3<Real>& MakeZero

(

)

Definition at line 804 of file moMathMatrix.h.

moDeclareExportedDynamicArray	(	moMatrix2f	,
		moMatrix2fArray
	)

moDeclareExportedDynamicArray	(	moMatrix2d	,
		moMatrix2dArray
	)

Definition at line 642 of file moMathMatrix.h.

moMatrix3

(

const moMatrix3 &

rkM

)

Definition at line 669 of file moMathMatrix.h.

moMatrix3	(	Real	fM00,
		Real	fM01,
		Real	fM02,
		Real	fM10,
		Real	fM11,
		Real	fM12,
		Real	fM20,
		Real	fM21,
		Real	fM22
	)

Definition at line 683 of file moMathMatrix.h.

moMatrix3	(	const Real	afEntry[9],
		bool	bRowMajor
	)

Definition at line 698 of file moMathMatrix.h.

moMatrix3	(	const moVector3< Real > &	rkU,
		const moVector3< Real > &	rkV,
		const moVector3< Real > &	rkW,
		bool	bColumns
	)

Definition at line 727 of file moMathMatrix.h.

moMatrix3	(	const moVector3< Real > *	akV,
		bool	bColumns
	)

Definition at line 757 of file moMathMatrix.h.

moMatrix3	(	Real	fM00,
		Real	fM11,
		Real	fM22
	)

Definition at line 786 of file moMathMatrix.h.

moMatrix3	(	const moVector3< Real > &	rkAxis,
		Real	fAngle
	)

Definition at line 792 of file moMathMatrix.h.

moMatrix3	(	const moVector3< Real > &	rkU,
		const moVector3< Real > &	rkV
	)

Definition at line 798 of file moMathMatrix.h.

operator const Real * ( ) const

inline

Definition at line 2093 of file moMathMatrix.h.

operator Real * ( )

inline

Definition at line 2094 of file moMathMatrix.h.

bool operator!=

(

const moMatrix3 &

rkM

)

const

Definition at line 948 of file moMathMatrix.h.

Real & operator() ( int  iRow, int  iCol  ) const

inline

Definition at line 2097 of file moMathMatrix.h.

template<class Real >

moMatrix2<Real> operator* ( Real  fScalar, const moMatrix2< Real > &  rkM  )

inline

Definition at line 612 of file moMathMatrix.h.

template<class Real >

moVector2<Real> operator* ( const moVector2< Real > &  rkV, const moMatrix2< Real > &  rkM  )

inline

Definition at line 619 of file moMathMatrix.h.

moMatrix3 operator* ( const moMatrix3 &  rkM ) const

inline

Definition at line 2145 of file moMathMatrix.h.

moMatrix3 operator* ( Real  fScalar ) const

inline

Definition at line 2184 of file moMathMatrix.h.

moVector3<Real> operator* ( const moVector3< Real > &  rkV ) const

inline

Definition at line 2311 of file moMathMatrix.h.

moMatrix3& operator*= ( Real  fScalar )

inline

Definition at line 2266 of file moMathMatrix.h.

moMatrix3 operator+ ( const moMatrix3 &  rkM ) const

inline

Definition at line 2119 of file moMathMatrix.h.

moMatrix3& operator+= ( const moMatrix3 &  rkM )

inline

Definition at line 2240 of file moMathMatrix.h.

moMatrix3 operator- ( const moMatrix3 &  rkM ) const

inline

Definition at line 2132 of file moMathMatrix.h.

moMatrix3 operator- ( ) const

inline

Definition at line 2225 of file moMathMatrix.h.

moMatrix3& operator-= ( const moMatrix3 &  rkM )

inline

Definition at line 2253 of file moMathMatrix.h.

moMatrix3 operator/ ( Real  fScalar ) const

inline

Definition at line 2197 of file moMathMatrix.h.

moMatrix3& operator/= ( Real  fScalar )

inline

Definition at line 2279 of file moMathMatrix.h.

bool operator<

(

const moMatrix3 &

rkM

)

const

Definition at line 954 of file moMathMatrix.h.

bool operator<=

(

const moMatrix3 &

rkM

)

const

Definition at line 960 of file moMathMatrix.h.

moMatrix3& operator= ( const moMatrix3 &  rkM )

inline

Definition at line 2102 of file moMathMatrix.h.

bool operator==

(

const moMatrix3 &

rkM

)

const

Definition at line 942 of file moMathMatrix.h.

bool operator>

(

const moMatrix3 &

rkM

)

const

Definition at line 966 of file moMathMatrix.h.

bool operator>=

(

const moMatrix3 &

rkM

)

const

Definition at line 972 of file moMathMatrix.h.

Real * operator[] ( int  iRow ) const

inline

Definition at line 2095 of file moMathMatrix.h.

void Orthonormalize

(

)

Definition at line 1276 of file moMathMatrix.h.

void PolarDecomposition	(	moMatrix3 &	rkQ,
		moMatrix3 &	rkS
	)

Definition at line 1963 of file moMathMatrix.h.

void QDUDecomposition	(	moMatrix3 &	rkQ,
		moMatrix3 &	rkD,
		moMatrix3 &	rkU
	)		const

Definition at line 1987 of file moMathMatrix.h.

Real QForm	(	const moVector3< Real > &	rkU,
		const moVector3< Real > &	rkV
	)		const

Definition at line 1153 of file moMathMatrix.h.

void SetColumn	(	int	iCol,
		const moVector3< Real > &	rkV
	)

Definition at line 911 of file moMathMatrix.h.

void SetRow	(	int	iRow,
		const moVector3< Real > &	rkV
	)

Definition at line 895 of file moMathMatrix.h.

void SingularValueComposition	(	const moMatrix3 &	rkL,
		const moMatrix3 &	rkD,
		const moMatrix3 &	rkRTranspose
	)

Definition at line 1956 of file moMathMatrix.h.

void SingularValueDecomposition	(	moMatrix3 &	rkL,
		moMatrix3 &	rkD,
		moMatrix3 &	rkRTranspose
	)		const

Definition at line 1825 of file moMathMatrix.h.

moMatrix3<Real>& Slerp	(	Real	fT,
		const moMatrix3 &	rkR0,
		const moMatrix3 &	rkR1
	)

Definition at line 1812 of file moMathMatrix.h.

moMatrix3<Real> TimesDiagonal

(

const moVector3< Real > &

rkDiag

)

const

Definition at line 1160 of file moMathMatrix.h.

moMatrix3<Real> TimesTranspose

(

const moMatrix3 &

rkM

)

const

Definition at line 1035 of file moMathMatrix.h.

void ToAxisAngle	(	moVector3< Real > &	rkAxis,
		Real &	rfAngle
	)		const

Definition at line 1178 of file moMathMatrix.h.

bool ToEulerAnglesXYZ	(	Real &	rfXAngle,
		Real &	rfYAngle,
		Real &	rfZAngle
	)		const

Definition at line 1596 of file moMathMatrix.h.

bool ToEulerAnglesXZY	(	Real &	rfXAngle,
		Real &	rfZAngle,
		Real &	rfYAngle
	)		const

Definition at line 1632 of file moMathMatrix.h.

bool ToEulerAnglesYXZ	(	Real &	rfYAngle,
		Real &	rfXAngle,
		Real &	rfZAngle
	)		const

Definition at line 1668 of file moMathMatrix.h.

bool ToEulerAnglesYZX	(	Real &	rfYAngle,
		Real &	rfZAngle,
		Real &	rfXAngle
	)		const

Definition at line 1704 of file moMathMatrix.h.

bool ToEulerAnglesZXY	(	Real &	rfZAngle,
		Real &	rfXAngle,
		Real &	rfYAngle
	)		const

Definition at line 1740 of file moMathMatrix.h.

bool ToEulerAnglesZYX	(	Real &	rfZAngle,
		Real &	rfYAngle,
		Real &	rfXAngle
	)		const

Definition at line 1776 of file moMathMatrix.h.

moMatrix3<Real> Transpose

(

)

const

Definition at line 978 of file moMathMatrix.h.

moMatrix3<Real> TransposeTimes

(

const moMatrix3 &

rkM

)

const

Definition at line 993 of file moMathMatrix.h.

Variable Documentation

Real m_afEntry[9]

Definition at line 2841 of file moMathMatrix.h.

template class LIBMOLDEO_API moMatrix2< MOdouble >

Definition at line 636 of file moMathMatrix.h.

template class LIBMOLDEO_API moMatrix2< MOfloat >

Definition at line 629 of file moMathMatrix.h.

template class LIBMOLDEO_API moMatrix3< MOdouble >

Definition at line 2874 of file moMathMatrix.h.

template class LIBMOLDEO_API moMatrix3< MOfloat >

Definition at line 2865 of file moMathMatrix.h.

template class LIBMOLDEO_API moMatrix4< MOdouble >

Definition at line 3972 of file moMathMatrix.h.

template class LIBMOLDEO_API moMatrix4< MOfloat >

Definition at line 3963 of file moMathMatrix.h.