AMatrixSquare Class Reference

#include <AMatrixSquare.hpp>

Inheritance diagram for AMatrixSquare:

Detailed Description

Square Matrix

Public Member Functions
	AMatrixSquare (int nrow=0)
	AMatrixSquare (const AMatrixSquare &m)
	AMatrixSquare (const AMatrix &m)
AMatrixSquare &	operator= (const AMatrixSquare &r)
virtual	~AMatrixSquare ()
virtual double	determinant (void) const
	Interface for AMatrix. More...
bool	isSquare (bool printWhyNot=false) const override
int	getNSize () const
double	trace () const
void	innerMatrix (const AMatrixSquare &x, const AMatrix &r1, const AMatrix &r2)
void	prodDiagByVector (const VectorDouble &diag)
void	divideDiagByVector (const VectorDouble &diag)
void	prodByDiagInPlace (int mode, const VectorDouble &c)
double	normVec (const VectorDouble &vec)
Public Member Functions inherited from MatrixRectangular
	MatrixRectangular (int nrow=0, int ncol=0)
	MatrixRectangular (const MatrixRectangular &m)
	MatrixRectangular (const AMatrix &m)
MatrixRectangular &	operator= (const MatrixRectangular &r)
virtual	~MatrixRectangular ()
bool	mustBeSymmetric () const override
	Cloneable interface. More...
void	addRow (int nrow_added=1)
void	addColumn (int ncolumn_added=1)
Public Member Functions inherited from AMatrixDense
	AMatrixDense (int nrow=0, int ncol=0)
	AMatrixDense (const AMatrixDense &m)
	AMatrixDense (const AMatrix &m)
AMatrixDense &	operator= (const AMatrixDense &r)
virtual	~AMatrixDense ()
bool	isDense () const override
	Interface for AMatrix. More...
bool	isSparse () const override
void	setValue (int irow, int icol, double value, bool flagCheck=false) override
virtual double	getValue (int irow, int icol, bool flagCheck=false) const override
void	updValue (int irow, int icol, const EOperator &oper, double value, bool flagCheck=false) override
virtual void	setColumn (int icol, const VectorDouble &tab) override
virtual void	setRow (int irow, const VectorDouble &tab) override
virtual void	setDiagonal (const VectorDouble &tab) override
virtual void	setDiagonalToConstant (double value=1.) override
virtual void	addScalar (double v) override
virtual void	addScalarDiag (double v) override
virtual void	prodScalar (double v) override
virtual void	fill (double value) override
virtual void	multiplyRow (const VectorDouble &vec) override
virtual void	multiplyColumn (const VectorDouble &vec) override
virtual void	divideRow (const VectorDouble &vec) override
virtual void	divideColumn (const VectorDouble &vec) override
virtual VectorDouble	prodVecMat (const VectorDouble &x, bool transpose=false) const override
virtual VectorDouble	prodMatVec (const VectorDouble &x, bool transpose=false) const override
virtual VectorDouble	getRow (int irow) const override
virtual VectorDouble	getColumn (int icol) const override
virtual void	prodMatMatInPlace (const AMatrix *x, const AMatrix *y, bool transposeX=false, bool transposeY=false) override
void	addMatInPlace (const AMatrixDense &y, double cx=1., double cy=1.)
	The next functions use specific definition of matrix (to avoid dynamic_cast) rather than manipulating AMatrix. They are not generic of AMatrix anymore. WARNING: output matrix should not match any of input matrices (speed up). More...
virtual void	prodNormMatMatInPlace (const AMatrixDense &a, const AMatrixDense &m, bool transpose=false)
virtual void	prodNormMatInPlace (const AMatrixDense &a, const VectorDouble &vec=VectorDouble(), bool transpose=false)
VectorDouble	getEigenValues () const
const MatrixSquareGeneral *	getEigenVectors () const
Public Member Functions inherited from AMatrix
	AMatrix (int nrow=0, int ncol=0)
	AMatrix (const AMatrix &m)
AMatrix &	operator= (const AMatrix &m)
virtual	~AMatrix ()
virtual void	reset (int nrows, int ncols)
virtual void	resetFromValue (int nrows, int ncols, double value)
	Reset the matrix to new dimensions and fill with a new value. More...
virtual void	resetFromArray (int nrows, int ncols, const double *tab, bool byCol=true)
	Reset the matrix from an array of double values. More...
virtual void	resetFromVD (int nrows, int ncols, const VectorDouble &tab, bool byCol=true)
	Reset the matrix from a vector of double values. More...
virtual void	resetFromVVD (const VectorVectorDouble &tab, bool byCol=true)
	Reset the matrix from an array of double values. More...
virtual String	toString (const AStringFormat *strfmt=nullptr) const override
	Interface to AStringable. More...
virtual bool	isValid (int irow, int icol, bool printWhyNot=false) const
virtual bool	isIdentity (bool printWhyNot=false) const
virtual bool	isSymmetric (bool printWhyNot=false, double eps=EPSILON10) const
virtual void	transposeInPlace ()
virtual AMatrix *	transpose () const
virtual NF_Triplet	getMatrixToTriplet (int shiftRow=0, int shiftCol=0) const
void	addMatInPlace (const AMatrix &y, double cx=1., double cy=1.)
void	prodMatInPlace (const AMatrix *matY, bool transposeY=false)
void	prodNormMatMatInPlace (const AMatrix &a, const AMatrix &m, bool transpose=false)
void	prodNormMatInPlace (const AMatrix &a, const VectorDouble &vec=VectorDouble(), bool transpose=false)
void	resize (int nrows, int ncols)
	Resize the matrix to new dimensions (this method doesn't change the storage type) More...
void	addValue (int irow, int icol, double value)
bool	isSame (const AMatrix &m, double eps=EPSILON4, bool printWhyNot=false)
bool	isSameSize (const AMatrix &m) const
bool	empty () const
double	compare (const AMatrix &mat) const
int	getNRows () const
int	getNCols () const
int	size () const
VectorDouble	getValues (bool byCol=true) const
VectorDouble	getDiagonal (int shift=0) const
bool	isColumnDefined (int icol) const
bool	isRowDefined (int irow) const
int	getNumberColumnDefined () const
int	getNumberRowDefined () const
bool	isNonNegative (bool verbose=false)
void	prodMatVecInPlace (const VectorDouble &x, VectorDouble &y, bool transpose=false) const
void	prodMatVecInPlacePtr (const double *x, double *y, bool transpose=false) const
void	prodVecMatInPlace (const VectorDouble &x, VectorDouble &y, bool transpose=false) const
void	prodVecMatInPlacePtr (const double *x, double *y, bool transpose=false) const
double	quadraticMatrix (const VectorDouble &x, const VectorDouble &y)
int	invert ()
int	solve (const VectorDouble &b, VectorDouble &x) const
void	dumpElements (const String &title, int ifrom, int ito) const
void	setIdentity (double value=1.)
void	fillRandom (int seed=432432, double zeroPercent=0.1)
void	setValues (const VectorDouble &values, bool byCol=true)
double	getMeanByColumn (int icol) const
double	getMinimum () const
double	getMaximum () const
double	getNormInf () const
void	copyReduce (const AMatrix *x, const VectorInt &activeRows, const VectorInt &activeCols)
void	copyElements (const AMatrix &m, double factor=1.)
void	setFlagCheckAddress (bool flagCheckAddress)
void	makePositiveColumn ()
void	linearCombination (double val1, const AMatrix *mat1, double val2=1., const AMatrix *mat2=nullptr)
double	operator() (int row, int col) const
double &	operator() (int row, int col)
Public Member Functions inherited from AStringable
	AStringable ()
	AStringable (const AStringable &r)
AStringable &	operator= (const AStringable &r)
virtual	~AStringable ()
virtual void	display (const AStringFormat *strfmt=nullptr) const final
virtual void	display (int level) const final
Public Member Functions inherited from ICloneable
	ICloneable ()
virtual	~ICloneable ()
virtual ICloneable *	clone () const =0

Additional Inherited Members
Static Public Member Functions inherited from MatrixRectangular
static MatrixRectangular *	createFromVVD (const VectorVectorDouble &X)
static MatrixRectangular *	createFromVD (const VectorDouble &X, int nrow, int ncol, bool byCol=false, bool invertColumnOrder=false)
static MatrixRectangular *	glue (const AMatrix *A1, const AMatrix *A2, bool flagShiftRow, bool flagShiftCol)
Public Attributes inherited from MatrixRectangular
	DECLARE_TOTL
	Has a specific implementation in the Target language. More...

Constructor & Destructor Documentation

AMatrixSquare() [1/3]

AMatrixSquare::AMatrixSquare

(

int

nrow = 0

)

AMatrixSquare() [2/3]

AMatrixSquare::AMatrixSquare

(

const AMatrixSquare &

m

)

AMatrixSquare() [3/3]

AMatrixSquare::AMatrixSquare

(

const AMatrix &

m

)

~AMatrixSquare()

AMatrixSquare::~AMatrixSquare ( )

virtual

Member Function Documentation

determinant()

double AMatrixSquare::determinant ( void  ) const

virtual

Interface for AMatrix.

divideDiagByVector()

void AMatrixSquare::divideDiagByVector

(

const VectorDouble &

diag

)

Divide the diagonal by a vector

getNSize()

int AMatrixSquare::getNSize ( ) const

inline

Returns the size of the matrix (nrows=ncols)

innerMatrix()

void AMatrixSquare::innerMatrix	(	const AMatrixSquare &	x,
		const AMatrix &	r1,
		const AMatrix &	r2
	)

Perform inner product

Perform the product: this = t(R1) %*% X %*% R2 + t(R2) %*% X %*% R1

Parameters

x	Square matrix
r1	Left Hand Matrix
r2	Right Hand Matrix

Remarks

The number of rows of Y must be equal to the dimension of X

The output matrix is square with dimension equal to the number of columns of Y

isSquare()

bool AMatrixSquare::isSquare ( bool  printWhyNot = false ) const

inlineoverridevirtual

Check if the matrix is (non empty) square

Reimplemented from AMatrix.

normVec()

double AMatrixSquare::normVec

(

const VectorDouble &

vec

)

operator=()

AMatrixSquare & AMatrixSquare::operator=

(

const AMatrixSquare &

r

)

prodByDiagInPlace()

void AMatrixSquare::prodByDiagInPlace	(	int	mode,
		const VectorDouble &	c
	)

Multiply by a Diagonal matrix provided as VectorDouble (in place)

Performs the 'this' %*% diag(c) where c is a vector

Parameters

[in]	mode	0: c as is; 1: sqrt(c); 2: 1/c; 3: 1/sqrt(c)
[in]	c	vector

prodDiagByVector()

void AMatrixSquare::prodDiagByVector

(

const VectorDouble &

diag

)

Multiply the diagonal by a vector

trace()

double AMatrixSquare::trace

(

)

const

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

• include/Matrix/AMatrixSquare.hpp
• src/Matrix/AMatrixSquare.cpp