Matrix3 Class Reference

3x3 Matrix More...

#include <Matrix3.h>

Public Member Functions
MATRIX3_INLINE	Matrix3 ()
MATRIX3_INLINE	Matrix3 (const Vec3 &, const Vec3 &, const Vec3 &)
MATRIX3_INLINE	Matrix3 (const double[3][3])
MATRIX3_INLINE	Matrix3 (const Matrix3 &)
virtual MATRIX3_INLINE	~Matrix3 ()
MATRIX3_INLINE double	det ()
Vec3	solve (const Vec3 &) const
Vec3	solve_homogeneous () const
void	invert ()
	in-situ inversion More...
MATRIX3_INLINE Matrix3	inv ()
	return inverse; More...
MATRIX3_INLINE void	transpose ()
	transpose in situ More...
MATRIX3_INLINE Matrix3	trans () const
	return transposed More...
MATRIX3_INLINE Vec3	operator* (const Vec3 &) const
MATRIX3_INLINE Matrix3	operator* (double) const
MATRIX3_INLINE Matrix3	operator/ (double) const
MATRIX3_INLINE Matrix3	operator* (const Matrix3 &) const
MATRIX3_INLINE Matrix3 &	operator+= (const Matrix3 &)
MATRIX3_INLINE Matrix3	operator+ (const Matrix3 &) const
MATRIX3_INLINE Matrix3	operator- (const Matrix3 &) const
MATRIX3_INLINE bool	operator== (const Matrix3 &) const
MATRIX3_INLINE Matrix3 &	operator= (const Matrix3 &)
MATRIX3_INLINE double	trace () const
MATRIX3_INLINE double	norm () const
MATRIX3_INLINE double	operator() (int i, int j) const
MATRIX3_INLINE double &	operator() (int i, int j)
void	eigen (Vec3 &, Vec3 &, Vec3 &, double &, double &, double &)

Static Public Member Functions
static MATRIX3_INLINE Matrix3	Unit ()
	eigenvectors, eigenvalues More...

Private Attributes
double	m [3][3]

Friends
MATRIX3_INLINE friend Matrix3	operator* (double, const Matrix3 &)
	generate matrix from vector More...
MATRIX3_INLINE friend Matrix3	star (const Vec3 &)
	generate unit matrix More...
MATRIX3_INLINE friend ostream &	operator<< (ostream &, const Matrix3 &)

Detailed Description

3x3 Matrix

Author

Steffen Abe $Revision$ $Date$

Constructor & Destructor Documentation

Matrix3() [1/4]

MATRIX3_INLINE Matrix3::Matrix3

(

)

References m.

Matrix3() [2/4]

MATRIX3_INLINE Matrix3::Matrix3	(	const Vec3 &	V1,
		const Vec3 &	V2,
		const Vec3 &	V3
	)

References Vec3::data, and m.

Matrix3() [3/4]

MATRIX3_INLINE Matrix3::Matrix3

(

const double

a[3][3]

)

References m.

Matrix3() [4/4]

MATRIX3_INLINE Matrix3::Matrix3

(

const Matrix3 &

rhs

)

References m.

~Matrix3()

MATRIX3_INLINE Matrix3::~Matrix3 ( )

virtual

Member Function Documentation

det()

MATRIX3_INLINE double Matrix3::det

(

)

Determinant

References m.

Referenced by eigen().

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eigen()

void Matrix3::eigen	(	Vec3 &	v1,
		Vec3 &	v2,
		Vec3 &	v3,
		double &	e1,
		double &	e2,
		double &	e3
	)

calculate eigenvectors & eigenvalues

Returns

v1 eigenvector with largest eigenvalue

v2 eigenvector with middle eigenvalue

v3 eigenvector with smalles eigenvalue

e1 largest eigenvalue

e2 middle eigenvalue

e3 smalles eigenvalue

References cross(), det(), CubicEquation::getRealRoots(), esys::lsm::bpu::iter(), m, and Unit().

Referenced by PointCloud::getFitPlane().

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inv()

MATRIX3_INLINE Matrix3 Matrix3::inv

(

)

return inverse;

References invert().

Referenced by Triangle::moveNode(), and Triangle::Triangle().

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invert()

void Matrix3::invert

(

)

in-situ inversion

References m.

Referenced by inv(), and Graph::printCrossSection().

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norm()

MATRIX3_INLINE double Matrix3::norm

(

)

const

calculate the euclidian norm of a matrix

References m.

operator()() [1/2]

MATRIX3_INLINE double& Matrix3::operator() ( int  i, int  j  )

inline

References m.

operator()() [2/2]

MATRIX3_INLINE double Matrix3::operator() ( int  i, int  j  ) const

inline

References m.

operator*() [1/3]

MATRIX3_INLINE Matrix3 Matrix3::operator*

(

const Matrix3 &

rhs

)

const

References m.

operator*() [2/3]

MATRIX3_INLINE Vec3 Matrix3::operator*

(

const Vec3 &

V

)

const

References Vec3::data, and m.

operator*() [3/3]

MATRIX3_INLINE Matrix3 Matrix3::operator*

(

double

d

)

const

References m.

operator+()

MATRIX3_INLINE Matrix3 Matrix3::operator+

(

const Matrix3 &

rhs

)

const

add two matrices

References m.

operator+=()

MATRIX3_INLINE Matrix3 & Matrix3::operator+=

(

const Matrix3 &

rhs

)

References m.

operator-()

MATRIX3_INLINE Matrix3 Matrix3::operator-

(

const Matrix3 &

rhs

)

const

subtract two matrices

References m.

operator/()

MATRIX3_INLINE Matrix3 Matrix3::operator/

(

double

d

)

const

References m.

operator=()

MATRIX3_INLINE Matrix3 & Matrix3::operator=

(

const Matrix3 &

other

)

References m.

operator==()

MATRIX3_INLINE bool Matrix3::operator==

(

const Matrix3 &

other

)

const

References m.

solve()

Vec3 Matrix3::solve

(

const Vec3 &

rhs

)

const

References Vec3::data, and m.

Referenced by DataExtractor::StrainToTensorData().

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solve_homogeneous()

Vec3 Matrix3::solve_homogeneous

(

)

const

Solve the homogeneous system Mx=(0,0,0). It is assumed that rank(M)=2. A unit vector is returned;

References m, Vec3::norm(), and Vec3::unit().

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trace()

MATRIX3_INLINE double Matrix3::trace

(

)

const

calculate the trace of a matrix

References m.

Referenced by CParticle::sigma_d().

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trans()

MATRIX3_INLINE Matrix3 Matrix3::trans

(

)

const

return transposed

References m.

Referenced by CRotBondedInteraction::calcForces(), CRotThermBondedInteraction::calcForces(), and DataExtractor::StrainToTensorData().

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transpose()

MATRIX3_INLINE void Matrix3::transpose

(

)

transpose in situ

References m.

Unit()

MATRIX3_INLINE Matrix3 Matrix3::Unit ( )

static

eigenvectors, eigenvalues

References m.

Referenced by eigen(), and CParticle::sigma_d().

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Friends And Related Function Documentation

operator*

MATRIX3_INLINE friend Matrix3 operator* ( double  d, const Matrix3 &  M  )

friend

generate matrix from vector

scalar * matrix

operator<<

MATRIX3_INLINE friend ostream& operator<< ( ostream &  , const Matrix3 &    )

friend

star

MATRIX3_INLINE friend Matrix3 star ( const Vec3 &  V )

friend

generate unit matrix

Member Data Documentation

m

double Matrix3::m[3][3]

private

Referenced by det(), eigen(), invert(), Matrix3(), norm(), operator()(), operator*(), operator*(), operator+(), operator+=(), operator-(), operator/(), operator=(), operator==(), solve(), solve_homogeneous(), star(), trace(), trans(), transpose(), and Unit().

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The documentation for this class was generated from the following files:

• Foundation/Matrix3.h
• Foundation/Matrix3.cpp
• Foundation/Matrix3.hpp