vhdMatrix3 Class Reference

#include <vhdMatrix3.h>

List of all members.

Public Member Functions
	vhdMatrix3 ()
	vhdMatrix3 (const vhtReal arr[3][3])
	vhdMatrix3 (const vhtReal *pm)
	vhdMatrix3 (const vhdMatrix3 &rkMatrix)
	vhdMatrix3 (vhtReal fEntry00, vhtReal fEntry01, vhtReal fEntry02, vhtReal fEntry10, vhtReal fEntry11, vhtReal fEntry12, vhtReal fEntry20, vhtReal fEntry21, vhtReal fEntry22)
vhtReal	get (unsigned int row, unsigned int column) const
void	set (unsigned int row, unsigned int column, vhtReal value)
vhtReal *	operator[] (int iRow) const
	operator vhtReal * ()
vhdVector3	getColumn (int iCol) const
void	setColumn (int iCol, const vhdVector3 &vec)
void	fromAxes (const vhdVector3 &xAxis, const vhdVector3 &yAxis, const vhdVector3 &zAxis)
vhdMatrix3 &	operator= (const vhdMatrix3 &rkMatrix)
bool	operator== (const vhdMatrix3 &rkMatrix) const
bool	operator!= (const vhdMatrix3 &rkMatrix) const
vhdMatrix3	operator+ (const vhdMatrix3 &rkMatrix) const
vhdMatrix3	operator- (const vhdMatrix3 &rkMatrix) const
vhdMatrix3	operator * (const vhdMatrix3 &rkMatrix) const
vhdMatrix3	operator- () const
vhdVector3	operator * (const vhdVector3 &rkvhdVector) const
vhdMatrix3	operator * (vhtReal fScalar) const
vhdMatrix3	transpose () const
bool	inverse (vhdMatrix3 &rkInverse, vhtReal fTolerance=1e-06) const
vhdMatrix3	inverse (vhtReal fTolerance=1e-06) const
vhtReal	determinant () const
void	singularValueDecomposition (vhdMatrix3 &rkL, vhdVector3 &rkS, vhdMatrix3 &rkR) const
void	singularValueComposition (const vhdMatrix3 &rkL, const vhdVector3 &rkS, const vhdMatrix3 &rkR)
void	orthonormalize ()
void	qduDecomposition (vhdMatrix3 &rkQ, vhdVector3 &rkD, vhdVector3 &rkU) const
vhtReal	spectralNorm () const
void	toAxisAngle (vhdVector3 &rkAxis, vhtReal &rfRadians) const
void	fromAxisAngle (const vhdVector3 &rkAxis, vhtReal fRadians)
bool	toEulerAnglesXYZ (float &rfYAngle, float &rfPAngle, float &rfRAngle) const
bool	toEulerAnglesXZY (float &rfYAngle, float &rfPAngle, float &rfRAngle) const
bool	toEulerAnglesYXZ (float &rfYAngle, float &rfPAngle, float &rfRAngle) const
bool	toEulerAnglesYZX (float &rfYAngle, float &rfPAngle, float &rfRAngle) const
bool	toEulerAnglesZXY (float &rfYAngle, float &rfPAngle, float &rfRAngle) const
bool	toEulerAnglesZYX (float &rfYAngle, float &rfPAngle, float &rfRAngle) const
void	fromEulerAnglesXYZ (float fYAngle, float fPAngle, float fRAngle)
void	fromEulerAnglesXZY (float fYAngle, float fPAngle, float fRAngle)
void	fromEulerAnglesYXZ (float fYAngle, float fPAngle, float fRAngle)
void	fromEulerAnglesYZX (float fYAngle, float fPAngle, float fRAngle)
void	fromEulerAnglesZXY (float fYAngle, float fPAngle, float fRAngle)
void	fromEulerAnglesZYX (float fYAngle, float fPAngle, float fRAngle)
void	eigenSolveSymmetric (vhtReal afEigenvalue[3], vhdVector3 akEigenvhdVector[3]) const
void	tridiagonal (vhtReal afDiag[3], vhtReal afSubDiag[3])
bool	qLAlgorithm (vhtReal afDiag[3], vhtReal afSubDiag[3])
Static Public Member Functions
static void	tensorProduct (const vhdVector3 &rkU, const vhdVector3 &rkV, vhdMatrix3 &rkProduct)
static void	bidiagonalize (vhdMatrix3 &kA, vhdMatrix3 &kL, vhdMatrix3 &kR)
static void	golubKahanStep (vhdMatrix3 &kA, vhdMatrix3 &kL, vhdMatrix3 &kR)
static vhtReal	maxCubicRoot (vhtReal afCoeff[3])
Public Attributes
vhtReal	m [3][3]
Static Public Attributes
static const vhdMatrix3	ZERO
static const vhdMatrix3	IDENTITY
static const vhtReal	ms_fSvdEpsilon
static const int	ms_iSvdMaxIterations
Friends
class	vhdMatrix4
vhdVector3	operator * (const vhdVector3 &rkvhdVector, const vhdMatrix3 &rkMatrix)
vhdMatrix3	operator * (vhtReal fScalar, const vhdMatrix3 &rkMatrix)

---

Constructor & Destructor Documentation

vhdMatrix3::vhdMatrix3

(

)

vhdMatrix3::vhdMatrix3

(

const vhtReal

arr[3][3]

)

vhdMatrix3::vhdMatrix3

(

const vhtReal *

pm

)

[inline]

Constructor for a 9-element array of vhtReals.

vhdMatrix3::vhdMatrix3

(

const vhdMatrix3 &

rkMatrix

)

vhdMatrix3::vhdMatrix3	(	vhtReal	fEntry00,
		vhtReal	fEntry01,
		vhtReal	fEntry02,
		vhtReal	fEntry10,
		vhtReal	fEntry11,
		vhtReal	fEntry12,
		vhtReal	fEntry20,
		vhtReal	fEntry21,
		vhtReal	fEntry22
	)

---

Member Function Documentation

vhtReal vhdMatrix3::get	(	unsigned int	row,
		unsigned int	column
	)			const [inline]

Returns a value of this matrix specified by the given row and column index.

void vhdMatrix3::set	(	unsigned int	row,
		unsigned int	column,
		vhtReal	value
	)			[inline]

Sets a value of this matrix specified by the given row and column index.

vhtReal * vhdMatrix3::operator[]

(

int

iRow

)

const

vhdMatrix3::operator vhtReal *

(

)

vhdVector3 vhdMatrix3::getColumn

(

int

iCol

)

const

void vhdMatrix3::setColumn	(	int	iCol,
		const vhdVector3 &	vec
	)

void vhdMatrix3::fromAxes	(	const vhdVector3 &	xAxis,
		const vhdVector3 &	yAxis,
		const vhdVector3 &	zAxis
	)

vhdMatrix3 & vhdMatrix3::operator=

(

const vhdMatrix3 &

rkMatrix

)

bool vhdMatrix3::operator==

(

const vhdMatrix3 &

rkMatrix

)

const

bool vhdMatrix3::operator!=

(

const vhdMatrix3 &

rkMatrix

)

const

vhdMatrix3 vhdMatrix3::operator+

(

const vhdMatrix3 &

rkMatrix

)

const

vhdMatrix3 vhdMatrix3::operator-

(

const vhdMatrix3 &

rkMatrix

)

const

vhdMatrix3 vhdMatrix3::operator *

(

const vhdMatrix3 &

rkMatrix

)

const

vhdMatrix3 vhdMatrix3::operator-

(

)

const

vhdVector3 vhdMatrix3::operator *

(

const vhdVector3 &

rkvhdVector

)

const

vhdMatrix3 vhdMatrix3::operator *

(

vhtReal

fScalar

)

const

vhdMatrix3 vhdMatrix3::transpose

(

)

const

bool vhdMatrix3::inverse	(	vhdMatrix3 &	rkInverse,
		vhtReal	fTolerance = 1e-06
	)			const

vhdMatrix3 vhdMatrix3::inverse

(

vhtReal

fTolerance = 1e-06

)

const

vhtReal vhdMatrix3::determinant

(

)

const

void vhdMatrix3::singularValueDecomposition	(	vhdMatrix3 &	rkL,
		vhdVector3 &	rkS,
		vhdMatrix3 &	rkR
	)			const

void vhdMatrix3::singularValueComposition	(	const vhdMatrix3 &	rkL,
		const vhdVector3 &	rkS,
		const vhdMatrix3 &	rkR
	)

void vhdMatrix3::orthonormalize

(

)

void vhdMatrix3::qduDecomposition	(	vhdMatrix3 &	rkQ,
		vhdVector3 &	rkD,
		vhdVector3 &	rkU
	)			const

vhtReal vhdMatrix3::spectralNorm

(

)

const

void vhdMatrix3::toAxisAngle	(	vhdVector3 &	rkAxis,
		vhtReal &	rfRadians
	)			const

void vhdMatrix3::fromAxisAngle	(	const vhdVector3 &	rkAxis,
		vhtReal	fRadians
	)

bool vhdMatrix3::toEulerAnglesXYZ	(	float &	rfYAngle,
		float &	rfPAngle,
		float &	rfRAngle
	)			const

bool vhdMatrix3::toEulerAnglesXZY	(	float &	rfYAngle,
		float &	rfPAngle,
		float &	rfRAngle
	)			const

bool vhdMatrix3::toEulerAnglesYXZ	(	float &	rfYAngle,
		float &	rfPAngle,
		float &	rfRAngle
	)			const

bool vhdMatrix3::toEulerAnglesYZX	(	float &	rfYAngle,
		float &	rfPAngle,
		float &	rfRAngle
	)			const

bool vhdMatrix3::toEulerAnglesZXY	(	float &	rfYAngle,
		float &	rfPAngle,
		float &	rfRAngle
	)			const

bool vhdMatrix3::toEulerAnglesZYX	(	float &	rfYAngle,
		float &	rfPAngle,
		float &	rfRAngle
	)			const

void vhdMatrix3::fromEulerAnglesXYZ	(	float	fYAngle,
		float	fPAngle,
		float	fRAngle
	)

void vhdMatrix3::fromEulerAnglesXZY	(	float	fYAngle,
		float	fPAngle,
		float	fRAngle
	)

void vhdMatrix3::fromEulerAnglesYXZ	(	float	fYAngle,
		float	fPAngle,
		float	fRAngle
	)

void vhdMatrix3::fromEulerAnglesYZX	(	float	fYAngle,
		float	fPAngle,
		float	fRAngle
	)

void vhdMatrix3::fromEulerAnglesZXY	(	float	fYAngle,
		float	fPAngle,
		float	fRAngle
	)

void vhdMatrix3::fromEulerAnglesZYX	(	float	fYAngle,
		float	fPAngle,
		float	fRAngle
	)

void vhdMatrix3::eigenSolveSymmetric	(	vhtReal	afEigenvalue[3],
		vhdVector3	akEigenvhdVector[3]
	)			const

void vhdMatrix3::tensorProduct	(	const vhdVector3 &	rkU,
		const vhdVector3 &	rkV,
		vhdMatrix3 &	rkProduct
	)			[static]

void vhdMatrix3::tridiagonal	(	vhtReal	afDiag[3],
		vhtReal	afSubDiag[3]
	)

bool vhdMatrix3::qLAlgorithm	(	vhtReal	afDiag[3],
		vhtReal	afSubDiag[3]
	)

void vhdMatrix3::bidiagonalize	(	vhdMatrix3 &	kA,
		vhdMatrix3 &	kL,
		vhdMatrix3 &	kR
	)			[static]

void vhdMatrix3::golubKahanStep	(	vhdMatrix3 &	kA,
		vhdMatrix3 &	kL,
		vhdMatrix3 &	kR
	)			[static]

vhtReal vhdMatrix3::maxCubicRoot

(

vhtReal

afCoeff[3]

)

[static]

---

Friends And Related Function Documentation

friend class vhdMatrix4 [friend]

vhdVector3 operator *	(	const vhdVector3 &	rkvhdVector,
		const vhdMatrix3 &	rkMatrix
	)			[friend]

vhdMatrix3 operator *	(	vhtReal	fScalar,
		const vhdMatrix3 &	rkMatrix
	)			[friend]

---

Member Data Documentation

const vhdMatrix3 vhdMatrix3::ZERO [static]

const vhdMatrix3 vhdMatrix3::IDENTITY [static]

const vhtReal vhdMatrix3::ms_fSvdEpsilon [static]

const int vhdMatrix3::ms_iSvdMaxIterations [static]

vhtReal vhdMatrix3::m[3][3]

---