Interface for complex matrices in Diana analysis. More...

Inheritance diagram for QMatrixC:

Public Member Functions
	QMatrixC ()
	default constructor More...

	QMatrixC (const UInt_t nrow, const UInt_t ncol)
	constructor nrow x ncol More...

	QMatrixC (const QVectorC &vec)
	constructor from QVectorC More...

	QMatrixC (const QMatrixC &orig)
	copy constructor More...

	QMatrixC (const QMatrix &orig)
	copy constructor More...

virtual	~QMatrixC ()
	destructor More...

void	Resize (const UInt_t nrow, const UInt_t ncol)
	resize a QMatrixC More...

UInt_t	Size () const
	Return the number of complex numbers. More...

void	BuildTest (UInt_t nI, UInt_t nJ)

void	Clear ()
	reset members to default values More...

UInt_t	GetNRow () const
	get number rows More...

UInt_t	GetNCol () const
	get number of columns More...

void	Initialize (const QComplex &val)
	initialize all elements (default to 0) More...

void	Initialize (const double re=0, const double im=0)
	initialize all elements (default to 0) More...

void	SetToIdentity ()
	initialize to identity More...

void	SetCol (const UInt_t ncol, const QVectorC &vec)
	set column to specific vector More...

void	SetRow (const UInt_t nrow, const QVectorC &vec)
	set row to specific vectors More...

QVectorC	GetCol (const UInt_t ncol) const
	get a QMatrix from a map More...

QVectorC	GetRow (const UInt_t nrow) const
	get row More...

QVectorC	GetDiagonal () const
	get matrix diagonal More...

QComplex	operator() (const UInt_t i, const UInt_t j)
	get row matching the integer value val in column col if more than one value is found in column the first matching row is returned More...

const QComplex	operator() (const UInt_t i, const UInt_t j) const
	retrieve an element More...

const QMatrixC &	operator= (const QMatrixC &orig)
	copy the content of another matrix More...

QMatrixC	operator- () const
	revert sign to alla components More...

const QMatrixC &	operator*= (const QComplex &t)
	multiplication by scalar More...

const QMatrixC &	operator*= (const double t)

const QMatrixC &	operator*= (const QMatrixC &other)
	multiplication by another QMatrixC More...

const QMatrixC &	operator/= (const QComplex &t)
	division by scalar More...

const QMatrixC &	operator/= (const double t)

const QMatrixC &	operator+= (const QMatrixC &mat)
	add a QMatrixC More...

const QMatrixC &	operator-= (const QMatrixC &mat)
	subtract a QMatrixC More...

const QMatrixC &	Mult (const QMatrixC &mat)
	Multiply element by element. More...

const QMatrixC &	Div (const QMatrixC &mat)
	Divide element by element. More...

QMatrixC	operator* (const QMatrixC &mat) const
	MatrixC product. More...

QMatrixC	operator* (const QComplex &t) const
	Multiplication by scalar. More...

QMatrixC	operator* (const double t) const

QMatrixC	operator/ (const QComplex &t) const
	Division by scalar. More...

QMatrixC	operator/ (const double t) const

QMatrixC	operator+ (const QMatrixC &mat) const
	sum matrix More...

QMatrixC	operator- (const QMatrixC &mat) const
	subtract matrix More...

QVectorC	operator* (const QVectorC &vec) const
	matrix-vector product More...

QMatrixC	T () const
	transpose More...

const QMatrixC &	Transpose ()
	transpose More...

const QMatrixC &	H ()
	compute hermitian conjugate More...

QMatrixC	GetH () const
	compute hermitian conjugate More...

const QMatrixC &	Conjugate ()
	conjugate this matrix More...

QMatrixC	GetConjugate () const
	return conjugate matrix More...

QMatrix	Magnitude () const
	return magnitude of each element More...

QMatrixC	Inv () const
	inverse More...

const QMatrixC &	Invert ()
	inverse More...

QComplex	Det () const
	Determinant. More...

QVector	HermitianEigenValues ()
	Get a vector of the eigenvalues. More...

void	HermitianEigenSystem (QVector &Val, QMatrixC &Vec)
	Get the eigen values and vectors. More...

virtual const QMatrixC &	CholeskyDecompose ()
	Cholesky Decomposition. More...

virtual QMatrixC	GetCholeskyDecomposition () const
	Cholesky Decomposition. More...

virtual void	CholeskySolveX (const QVectorC &Y, QVectorC &X) const
	Return the inverse, using Cholesky decomposition. More...

QMatrixC	GetSubMatrix (UInt_t nI, UInt_t nJ, UInt_t startI=0, UInt_t startJ=0)
	Get a sub matrix of the matrix. More...

const QMatrixC	GetSubMatrix (UInt_t nI, UInt_t nJ, UInt_t startI=0, UInt_t startJ=0) const
	Get a sub matrix of the matrix. More...

QMatrixC	GetSummedAreaMatrix () const
	Create a summed area matrix. More...

void	Print (const char *opt="") const

Public Member Functions inherited from QObject
	QObject ()
	default constructor More...

virtual	~QObject ()
	destructor More...

QObject &	operator= (const QObject &rhs)
	operator= More...

void	Validate ()
	make object valid More...

void	InValidate ()
	make object non valid More...

bool	IsValid () const
	check wheter object is valid More...

void	SetWrite (bool write=true)
	write or not this object More...

bool	GetWrite () const
	check wheter write or not this object More...

bool	IsRequired () const
	check wheter this object is required by some module More...

void	SetIsRequired (bool required=true)
	set that this object is required More...

bool	IsJustAdded () const
	check wheter this object has been just added by some module More...

void	SetIsJustAdded (bool added=true)
	set that this object has been just added More...

void	Reset ()
	set object to non valid and calls Clear() More...

virtual bool	Fill (QObject *evData) const =0
	calls operator= of inheriting classes. Validity flag and bits are not copied. This function is automatically declared/implemented in derived classes by QObjectDef/QObjectImp. If evData type mismatches returns false, true otherwise. More...

void	FullyFill (QObject *evData) const
	calls Fill(QObject*) if this QObject IsValid(). Copies Validity flag and bits More...

virtual QObject *	Duplicate () const =0
	create object of same type, this function is automatically declared/implemented in derived classes by QObjectDef/QObjectImp More...

virtual void	Dump (std::ostream &o) const
	print content to stream (intended for screen print or log files) More...

virtual void	Print () const
	print content on screen More...

virtual QError	WriteOnStream (std::ostream &o) const
	print content to stream (intended for storage in text files) More...

virtual QError	ReadFromStream (std::istream &o)
	fill content from stream (intended for storage in text files) More...

void	CopyBits (QObject *obj) const
	copy validity and temporary bits to another QObject More...

virtual void	Draw (Option_t *option="")

Protected Member Functions
	QMatrixC (const gsl_matrix_complex *mat)
	constructor from gsl_matrix More...

	QMatrixC (const double *orig)

	QMatrixC (gsl_complex *data, const UInt_t nrow, const UInt_t ncol, const UInt_t tda=0)

void	SetMat () const
	Fill the GSL matrix data. More...

QComplex	GetElement (const UInt_t i, const UInt_t j)

const QComplex	GetElement (const UInt_t i, const UInt_t j) const

UInt_t	MemRowCElements () const

	QObjectDef (QMatrixC, 4)

Static Protected Member Functions
static void	MatrixCopy (double orig, UInt_t nrow, UInt_t ncol, double dest, UInt_t origTda=0, UInt_t destTda=0)

Protected Attributes
Bool_t	fDataOwner

UInt_t	fSize

UInt_t	fNCol

UInt_t	fTda

UInt_t	fAllocSize

double *	fData

gsl_matrix_complex *	fMat

Friends
class	QVectorC

class	QMatrixCArray

Additional Inherited Members
Public Types inherited from QObject
enum	{ kIsValid = BIT(15) , kWrite = BIT(0) , kIsRequired = BIT(1) , kIsJustAdded = BIT(2) }
	TObject bits. More...

Static Public Member Functions inherited from QObject
static QObject *	New (const char *object)

Detailed Description

Interface for complex matrices in Diana analysis.

Known issue: The matrix may not be contiguous in memory which makes writing to a TTree difficult.

Definition at line 27 of file QMatrixC.hh.

Constructor & Destructor Documentation

◆ QMatrixC() [1/8]

QMatrixC::QMatrixC ( )

default constructor

Definition at line 51 of file QMatrixC.cc.

◆ QMatrixC() [2/8]

QMatrixC::QMatrixC	(	const UInt_t	nrow,
		const UInt_t	ncol
	)

explicit

constructor nrow x ncol

Parameters

nrow	number of rows
ncol	number of columns

Definition at line 62 of file QMatrixC.cc.

References Resize().

◆ QMatrixC() [3/8]

QMatrixC::QMatrixC ( const QVectorC & vec )

explicit

constructor from QVectorC

Parameters

vec	QVectorC of origin

Definition at line 74 of file QMatrixC.cc.

References QVector::ArrayCopy(), fAllocSize, fData, QVector::fData, QVector::fStride, Resize(), QVector::Size(), and vec.

◆ QMatrixC() [4/8]

QMatrixC::QMatrixC ( const QMatrixC & orig )

copy constructor

Parameters

orig	QMatrixC of origin

Definition at line 92 of file QMatrixC.cc.

References fData, GetNCol(), GetNRow(), MatrixCopy(), MemRowCElements(), and Resize().

◆ QMatrixC() [5/8]

QMatrixC::QMatrixC ( const QMatrix & orig )

copy constructor

Parameters

orig	QMatrix of origin

Definition at line 106 of file QMatrixC.cc.

References QMatrix::GetNCol(), QMatrix::GetNRow(), operator()(), Resize(), QComplex::SetIm(), and QComplex::SetRe().

◆ ~QMatrixC()

QMatrixC::~QMatrixC ( )

virtual

destructor

Definition at line 151 of file QMatrixC.cc.

References Clear().

◆ QMatrixC() [6/8]

QMatrixC::QMatrixC ( const gsl_matrix_complex * mat )

protected

constructor from gsl_matrix

Parameters

mat	gsl_matrix of origin

Definition at line 123 of file QMatrixC.cc.

References fData, GetNCol(), GetNRow(), MatrixCopy(), MemRowCElements(), and Resize().

◆ QMatrixC() [7/8]

QMatrixC::QMatrixC ( const double * orig )

protected

◆ QMatrixC() [8/8]

QMatrixC::QMatrixC	(	gsl_complex *	data,
		const UInt_t	nrow,
		const UInt_t	ncol,
		const UInt_t	tda = `0`
	)

protected

Definition at line 136 of file QMatrixC.cc.

References fNCol, and fTda.

Member Function Documentation

◆ BuildTest()

void QMatrixC::BuildTest	(	UInt_t	nI,
		UInt_t	nJ
	)

inline

Definition at line 70 of file QMatrixC.hh.

References Resize().

◆ CholeskyDecompose()

const QMatrixC & QMatrixC::CholeskyDecompose ( )

virtual

Cholesky Decomposition.

Perform a Cholesky decomposition of a matrix, A, IN PLACE.

A=LL^*

Where L is a lower triangular, with positive real values along the diagonal.

The input matrix must be positive definite, otherwise the function will return an error.

The output matrix has the components of the matrix L in the lower triangle and the components of L^* in the upper triangle. The elements in the diagonal (the overlap) are the same for both L and L^*.

Definition at line 537 of file QMatrixC.cc.

References DianaThrow, err, fMat, GetNCol(), GetNRow(), QERR_SIZE_NOT_MATCH, and SetMat().

Referenced by QMatrixCArray::CholeskyDecompose(), and GetCholeskyDecomposition().

◆ CholeskySolveX()

void QMatrixC::CholeskySolveX	(	const QVectorC &	Y,
		QVectorC &	X
	)		const

virtual

Return the inverse, using Cholesky decomposition.

Invert using Cholesky decomposition

Use Cholesky decomposition to solve for X

Solve the system AX=Y for X, using a Cholesky decomposition. This does not require actually inverting A.

The method assumes that the matrix is ALREADY cholesky decomposed!

Definition at line 552 of file QMatrixC.cc.

References err, fMat, GetNRow(), QERR_SIZE_NOT_MATCH, QVectorC::Resize(), SetMat(), and QVectorC::Size().

◆ Clear()

void QMatrixC::Clear ( )

virtual

reset members to default values

Implements QObject.

Definition at line 155 of file QMatrixC.cc.

References QVector::ArrayFree(), fAllocSize, fData, fDataOwner, fMat, fNCol, fSize, and fTda.

Referenced by ~QMatrixC().

◆ Conjugate()

const QMatrixC & QMatrixC::Conjugate ( )

conjugate this matrix

Definition at line 421 of file QMatrixC.cc.

References fData, GetNCol(), GetNRow(), and MemRowCElements().

Referenced by MNoiseCrossFrequencyCovariance::Do(), GetConjugate(), and H().

◆ Det()

QComplex QMatrixC::Det ( ) const

Determinant.

Returns: the matrix determinant

Definition at line 470 of file QMatrixC.cc.

References err, fMat, fNCol, GetNRow(), and SetMat().

◆ Div()

const QMatrixC & QMatrixC::Div ( const QMatrixC & mat )

Divide element by element.

divide element by element (a'_ij=a_ij/b_ij) --> NOT division between matrices

Parameters

mat

Returns: the same object modified

Definition at line 342 of file QMatrixC.cc.

References fMat, and SetMat().

Referenced by MNoiseCrossFrequencyCovariance::Do().

◆ GetCholeskyDecomposition()

QMatrixC QMatrixC::GetCholeskyDecomposition ( ) const

virtual

Cholesky Decomposition.

Out of place version of CholeskyDecompose().

Definition at line 547 of file QMatrixC.cc.

References CholeskyDecompose().

◆ GetCol()

QVectorC QMatrixC::GetCol ( const UInt_t ncol ) const

get a QMatrix from a map

Parameters

std::map<int,int> @

get column

Parameters

ncol col index

Returns: vec column with index ncol

Definition at line 223 of file QMatrixC.cc.

References fMat, GetNRow(), and SetMat().

Referenced by operator*().

◆ GetConjugate()

QMatrixC QMatrixC::GetConjugate ( ) const

return conjugate matrix

Definition at line 430 of file QMatrixC.cc.

References Conjugate().

◆ GetDiagonal()

QVectorC QMatrixC::GetDiagonal ( ) const

get matrix diagonal

Returns: vec

Definition at line 240 of file QMatrixC.cc.

References DianaThrow, GetNCol(), GetNRow(), operator()(), QERR_SIZE_NOT_MATCH, and SetMat().

Referenced by HermitianEigenSystem(), and HermitianEigenValues().

◆ GetElement() [1/2]

QComplex QMatrixC::GetElement	(	const UInt_t	i,
		const UInt_t	j
	)

inlineprotected

Definition at line 446 of file QMatrixC.hh.

References DianaThrow, fData, fNCol, GetNRow(), MemRowCElements(), Q_DOUBLE_DEFAULT, and QERR_OUT_OF_RANGE.

Referenced by operator()().

◆ GetElement() [2/2]

const QComplex QMatrixC::GetElement	(	const UInt_t	i,
		const UInt_t	j
	)		const

inlineprotected

Definition at line 455 of file QMatrixC.hh.

References DianaThrow, fData, fNCol, GetNRow(), MemRowCElements(), Q_DOUBLE_DEFAULT, and QERR_OUT_OF_RANGE.

◆ GetH()

QMatrixC QMatrixC::GetH ( ) const

compute hermitian conjugate

Returns: new matrix

Definition at line 416 of file QMatrixC.cc.

References H().

◆ GetNCol()

UInt_t QMatrixC::GetNCol ( ) const

inline

get number of columns

Returns: number of columns

Definition at line 92 of file QMatrixC.hh.

References fNCol.

Referenced by CholeskyDecompose(), Conjugate(), GetDiagonal(), GetRow(), GetSubMatrix(), GetSummedAreaMatrix(), HermitianEigenSystem(), HermitianEigenValues(), Magnitude(), operator*=(), operator=(), Print(), QMatrixC(), Resize(), SetRow(), and Transpose().

◆ GetNRow()

UInt_t QMatrixC::GetNRow ( ) const

inline

get number rows

Returns: number of rows

Definition at line 87 of file QMatrixC.hh.

References fNCol, and fSize.

Referenced by CholeskyDecompose(), CholeskySolveX(), Conjugate(), Det(), GetCol(), GetDiagonal(), GetElement(), GetSubMatrix(), GetSummedAreaMatrix(), HermitianEigenSystem(), HermitianEigenValues(), Initialize(), Invert(), Magnitude(), operator*=(), operator=(), Print(), QMatrixC(), Resize(), SetCol(), SetMat(), and Transpose().

◆ GetRow()

QVectorC QMatrixC::GetRow ( const UInt_t nrow ) const

get row

Parameters

nrow row index

Returns: vec row with index nrow

Definition at line 232 of file QMatrixC.cc.

References fMat, GetNCol(), and SetMat().

◆ GetSubMatrix() [1/2]

QMatrixC QMatrixC::GetSubMatrix	(	UInt_t	nI,
		UInt_t	nJ,
		UInt_t	startI = `0`,
		UInt_t	startJ = `0`
	)

Get a sub matrix of the matrix.

Return an nI x nJ matrix starting at (startI,startJ). (Note that I corresponds to row, and J to column).

Definition at line 579 of file QMatrixC.cc.

References fData, fTda, GetNCol(), GetNRow(), MemRowCElements(), and QERR_SIZE_NOT_MATCH.

◆ GetSubMatrix() [2/2]

const QMatrixC QMatrixC::GetSubMatrix	(	UInt_t	nI,
		UInt_t	nJ,
		UInt_t	startI = `0`,
		UInt_t	startJ = `0`
	)		const

Get a sub matrix of the matrix.

Return an nI x nJ matrix starting at (startI,startJ). (Note that I corresponds to row, and J to column).

Definition at line 592 of file QMatrixC.cc.

References fData, fTda, GetNCol(), GetNRow(), MemRowCElements(), and QERR_SIZE_NOT_MATCH.

◆ GetSummedAreaMatrix()

QMatrixC QMatrixC::GetSummedAreaMatrix ( ) const

Create a summed area matrix.

Returns the matrix given by

$\Sigma_{ij} = \sum_{i'=0}^i\sum_{j'=0}^j M_{i'j'} *$

Definition at line 606 of file QMatrixC.cc.

References GetNCol(), and GetNRow().

◆ H()

const QMatrixC & QMatrixC::H ( )

compute hermitian conjugate

If the matrix is the data owner it will be resized. If the matrix is NOT the data owner, the matrix MUST be square to be transposed. Otherwise an error will be thrown.

Returns: matrix hermitian conjugated

Definition at line 410 of file QMatrixC.cc.

References Conjugate(), and Transpose().

Referenced by MNoiseCrossFrequencyCovariance::Do(), and GetH().

◆ HermitianEigenSystem()

void QMatrixC::HermitianEigenSystem	(	QVector &	Val,
		QMatrixC &	Vec
	)

Get the eigen values and vectors.

This determines the eigensystem of the matrix assuming the that matrix is hermitian. If the matrix is NOT hermitian, the algorithm will treat it as if it is hermitian. The algorithm only references the lower triangle and the real components of the diagonal.

The ith eigenvalue is stored in the ith place in Val, and the corresponding eigenvector is stored in the ith column of Vec. The eigenvectors are guaranteed to be mutually orthogonal and normalized to unity.

The algorithm destroys the lower triangular portion of the matrix and the diagonal, but these are rebuilt using the upper triangular.

Definition at line 511 of file QMatrixC.cc.

References DianaThrow, err, fMat, QVector::fMathVec, GetDiagonal(), GetNCol(), GetNRow(), QERR_SIZE_NOT_MATCH, QVector::Resize(), Resize(), SetMat(), and QVector::SetMathVector().

◆ HermitianEigenValues()

QVector QMatrixC::HermitianEigenValues ( )

Get a vector of the eigenvalues.

This determines the eigen values of the matrix assuming the that matrix is hermitian. If the matrix is NOT hermitian, the algorithm will treat it as if it is hermitian. The algorithm only references the lower triangle and the real components of the diagonal.

The algorithm destroys the lower triangular portion of the matrix and the diagonal, but these are rebuilt using the upper triangular.

Definition at line 486 of file QMatrixC.cc.

References DianaThrow, err, fMat, QVector::fMathVec, GetDiagonal(), GetNCol(), GetNRow(), QERR_SIZE_NOT_MATCH, SetMat(), QVector::SetMathVector(), and QVector::Sort().

◆ Initialize() [1/2]

void QMatrixC::Initialize	(	const double	re = `0`,
		const double	im = `0`
	)

inline

initialize all elements (default to 0)

Parameters

val	initialization value

Definition at line 102 of file QMatrixC.hh.

References Initialize().

Referenced by Initialize().

◆ Initialize() [2/2]

void QMatrixC::Initialize ( const QComplex & val )

initialize all elements (default to 0)

Parameters

val	initialization value

Definition at line 187 of file QMatrixC.cc.

References fNCol, GetNRow(), and operator()().

◆ Inv()

QMatrixC QMatrixC::Inv ( ) const

inverse

Returns: the inverse matrix

Definition at line 447 of file QMatrixC.cc.

References Invert().

◆ Invert()

const QMatrixC & QMatrixC::Invert ( )

inverse

Returns: the same matrix inverted

Definition at line 453 of file QMatrixC.cc.

References err, fMat, fNCol, GetNRow(), and SetMat().

Referenced by Inv(), and QMatrixCArray::Invert().

◆ Magnitude()

QMatrix QMatrixC::Magnitude ( ) const

return magnitude of each element

Definition at line 436 of file QMatrixC.cc.

References QComplex::GetMagnitude(), GetNCol(), GetNRow(), operator()(), and SetMat().

Referenced by MNoiseCrossFrequencyCovariance::Do().

◆ MatrixCopy()

Q_BEGIN_NAMESPACE void QMatrixC::MatrixCopy	(	double *	orig,
		UInt_t	nrow,
		UInt_t	ncol,
		double *	dest,
		UInt_t	origTda = `0`,
		UInt_t	destTda = `0`
	)

staticprotected

Definition at line 26 of file QMatrixC.cc.

References DianaThrow, and QERR_SIZE_NOT_MATCH.

Referenced by operator=(), and QMatrixC().

◆ MemRowCElements()

UInt_t QMatrixC::MemRowCElements ( ) const

inlineprotected

Definition at line 464 of file QMatrixC.hh.

References fNCol, and fTda.

Referenced by Conjugate(), GetElement(), GetSubMatrix(), operator=(), and QMatrixC().

◆ Mult()

const QMatrixC & QMatrixC::Mult ( const QMatrixC & mat )

Multiply element by element.

multiply element by element (a'_ij=a_ij*b_ij) --> NOT product between matrices

Parameters

mat

Returns: the same object modified

Definition at line 334 of file QMatrixC.cc.

References fMat, and SetMat().

Referenced by MNoiseCrossFrequencyCovariance::Do().

◆ operator()() [1/2]

QComplex QMatrixC::operator()	(	const UInt_t	i,
		const UInt_t	j
	)

get row matching the integer value val in column col if more than one value is found in column the first matching row is returned

Parameters

col	column index
val	value to be matched

Returns: QVectorC Row

retrieve an element

Parameters

i	ith row
j	jth col

Returns: element i of the QVectorC

Definition at line 253 of file QMatrixC.cc.

References GetElement().

Referenced by GetDiagonal(), Initialize(), Magnitude(), and QMatrixC().

◆ operator()() [2/2]

const QComplex QMatrixC::operator()	(	const UInt_t	i,
		const UInt_t	j
	)		const

retrieve an element

version for objects that cannot modify the QMatrixC

Parameters

i	ith row
j	jth col

Returns: element i of the QVectorC

Definition at line 258 of file QMatrixC.cc.

References GetElement().

◆ operator*() [1/4]

QMatrixC QMatrixC::operator* ( const double t ) const

Definition at line 355 of file QMatrixC.cc.

◆ operator*() [2/4]

QMatrixC QMatrixC::operator* ( const QComplex & t ) const

Multiplication by scalar.

Parameters

t	complex number

Returns: scaled complex matrix

Definition at line 361 of file QMatrixC.cc.

◆ operator*() [3/4]

QMatrixC QMatrixC::operator* ( const QMatrixC & mat ) const

MatrixC product.

Parameters

mat	right element

Returns: MatrixC product

Definition at line 349 of file QMatrixC.cc.

◆ operator*() [4/4]

QVectorC QMatrixC::operator* ( const QVectorC & vec ) const

matrix-vector product

Parameters

vec	right element

Returns: vector

Definition at line 391 of file QMatrixC.cc.

References GetCol(), and vec.

◆ operator*=() [1/3]

const QMatrixC & QMatrixC::operator*= ( const double t )

Definition at line 284 of file QMatrixC.cc.

References operator*=().

◆ operator*=() [2/3]

const QMatrixC & QMatrixC::operator*= ( const QComplex & t )

multiplication by scalar

Parameters

t

Returns: the same object modified

Definition at line 278 of file QMatrixC.cc.

References fMat, QComplex::Get_gsl_complex(), and SetMat().

Referenced by operator*=(), and operator/=().

◆ operator*=() [3/3]

const QMatrixC & QMatrixC::operator*= ( const QMatrixC & other )

multiplication by another QMatrixC

A*=B; replaces A with a matrix with the appropriate dimensions of A*B (complex matrix product)

Parameters

other

Returns: the same object modified

Definition at line 289 of file QMatrixC.cc.

References fMat, GetNCol(), GetNRow(), Resize(), and SetMat().

◆ operator+()

QMatrixC QMatrixC::operator+ ( const QMatrixC & mat ) const

sum matrix

Parameters

mat	right element

Returns: sum matrix

Definition at line 378 of file QMatrixC.cc.

◆ operator+=()

const QMatrixC & QMatrixC::operator+= ( const QMatrixC & mat )

add a QMatrixC

Parameters

mat

Returns: the same object modified

Definition at line 318 of file QMatrixC.cc.

References fMat, and SetMat().

◆ operator-() [1/2]

QMatrixC QMatrixC::operator- ( ) const

revert sign to alla components

Definition at line 273 of file QMatrixC.cc.

◆ operator-() [2/2]

QMatrixC QMatrixC::operator- ( const QMatrixC & mat ) const

subtract matrix

Parameters

mat	right element

Returns: matrix

Definition at line 385 of file QMatrixC.cc.

◆ operator-=()

const QMatrixC & QMatrixC::operator-= ( const QMatrixC & mat )

subtract a QMatrixC

Parameters

mat

Returns: the same object modified

Definition at line 326 of file QMatrixC.cc.

References fMat, and SetMat().

◆ operator/() [1/2]

QMatrixC QMatrixC::operator/ ( const double t ) const

Definition at line 371 of file QMatrixC.cc.

◆ operator/() [2/2]

QMatrixC QMatrixC::operator/ ( const QComplex & t ) const

Division by scalar.

Parameters

t	complex number

Returns: scaled matrix

Definition at line 366 of file QMatrixC.cc.

◆ operator/=() [1/2]

const QMatrixC & QMatrixC::operator/= ( const double t )

Definition at line 313 of file QMatrixC.cc.

References operator*=().

◆ operator/=() [2/2]

const QMatrixC & QMatrixC::operator/= ( const QComplex & t )

division by scalar

Parameters

t

Returns: the same object modified

Definition at line 309 of file QMatrixC.cc.

References operator*=().

◆ operator=()

const QMatrixC & QMatrixC::operator= ( const QMatrixC & orig )

copy the content of another matrix

Parameters

orig	QMatrix of origin

Returns: the same object modified

Definition at line 263 of file QMatrixC.cc.

References fData, fMat, fNCol, GetNCol(), GetNRow(), MatrixCopy(), MemRowCElements(), and Resize().

◆ Print()

void QMatrixC::Print ( const char * opt = "" ) const

Definition at line 618 of file QMatrixC.cc.

References fData, fNCol, fSize, fTda, GetNCol(), and GetNRow().

◆ QObjectDef()

QMatrixC::QObjectDef	(	QMatrixC	,
		4
	)

protected

◆ Resize()

void QMatrixC::Resize	(	const UInt_t	nrow,
		const UInt_t	ncol
	)

resize a QMatrixC

Parameters

nrow	new number of rows
ncol	new number of cols

Returns: none

Definition at line 167 of file QMatrixC.cc.

References QVector::ArrayAlloc(), QVector::ArrayFree(), DianaThrow, fAllocSize, fData, fDataOwner, fMat, fNCol, fSize, fTda, GetNCol(), GetNRow(), and QERR_SIZE_NOT_MATCH.

Referenced by BuildTest(), HermitianEigenSystem(), operator*=(), operator=(), QMatrixC(), and Transpose().

◆ SetCol()

void QMatrixC::SetCol	(	const UInt_t	ncol,
		const QVectorC &	vec
	)

set column to specific vector

Parameters

ncol	column index
vec	initialization vector

Definition at line 200 of file QMatrixC.cc.

References DianaThrow, fMat, QVector::fMathVec, GetNRow(), QERR_SIZE_NOT_MATCH, SetMat(), QVector::SetMathVector(), QVector::Size(), and vec.

Referenced by QVectorC::operator*().

◆ SetMat()

void QMatrixC::SetMat ( ) const

protected

Fill the GSL matrix data.

Definition at line 565 of file QMatrixC.cc.

References fData, fMat, fNCol, fTda, and GetNRow().

Referenced by CholeskyDecompose(), CholeskySolveX(), Det(), Div(), GetCol(), GetDiagonal(), GetRow(), HermitianEigenSystem(), HermitianEigenValues(), Invert(), Magnitude(), Mult(), operator*=(), operator+=(), operator-=(), SetCol(), SetRow(), SetToIdentity(), and Transpose().

◆ SetRow()

void QMatrixC::SetRow	(	const UInt_t	nrow,
		const QVectorC &	vec
	)

set row to specific vectors

Parameters

nrow	row index
vec	initialization vector

Definition at line 212 of file QMatrixC.cc.

References DianaThrow, fMat, QVector::fMathVec, GetNCol(), QERR_SIZE_NOT_MATCH, SetMat(), QVector::SetMathVector(), QVector::Size(), and vec.

Referenced by QVectorC::H().

◆ SetToIdentity()

void QMatrixC::SetToIdentity ( )

initialize to identity

Definition at line 195 of file QMatrixC.cc.

References fMat, and SetMat().

◆ Size()

UInt_t QMatrixC::Size ( ) const

inline

Return the number of complex numbers.

Definition at line 67 of file QMatrixC.hh.

References fSize.

◆ T()

QMatrixC QMatrixC::T ( ) const

transpose

Returns: transposed matrix

Definition at line 397 of file QMatrixC.cc.

References Transpose().

◆ Transpose()

const QMatrixC & QMatrixC::Transpose ( )

transpose

If the matrix is the data owner it will be resized. If the matrix is NOT the data owner, the matrix MUST be square to be transposed. Otherwise an error will be thrown.

Returns: the same matrix transposed

Definition at line 403 of file QMatrixC.cc.

References fMat, GetNCol(), GetNRow(), Resize(), and SetMat().

Referenced by H(), and T().

Friends And Related Function Documentation

◆ QMatrixCArray

friend class QMatrixCArray

friend

Definition at line 483 of file QMatrixC.hh.

◆ QVectorC

friend class QVectorC

friend

Definition at line 482 of file QMatrixC.hh.

Member Data Documentation

◆ fAllocSize

UInt_t QMatrixC::fAllocSize

protected

Definition at line 477 of file QMatrixC.hh.

Referenced by Clear(), QMatrixC(), and Resize().

◆ fData

double* QMatrixC::fData

protected

Definition at line 478 of file QMatrixC.hh.

Referenced by Clear(), Conjugate(), GetElement(), GetSubMatrix(), operator=(), Print(), QMatrixC(), Resize(), and SetMat().

◆ fDataOwner

Bool_t QMatrixC::fDataOwner

protected

Definition at line 473 of file QMatrixC.hh.

Referenced by Clear(), and Resize().

◆ fMat

gsl_matrix_complex* QMatrixC::fMat

mutableprotected

Definition at line 480 of file QMatrixC.hh.

Referenced by CholeskyDecompose(), CholeskySolveX(), Clear(), Det(), Div(), GetCol(), GetRow(), HermitianEigenSystem(), HermitianEigenValues(), Invert(), Mult(), operator*=(), operator+=(), operator-=(), operator=(), Resize(), SetCol(), SetMat(), SetRow(), SetToIdentity(), and Transpose().

◆ fNCol

UInt_t QMatrixC::fNCol

protected

Definition at line 475 of file QMatrixC.hh.

Referenced by Clear(), Det(), GetElement(), GetNCol(), GetNRow(), Initialize(), Invert(), MemRowCElements(), operator=(), Print(), QMatrixC(), Resize(), and SetMat().

◆ fSize

UInt_t QMatrixC::fSize

protected

Definition at line 474 of file QMatrixC.hh.

Referenced by Clear(), GetNRow(), Print(), Resize(), and Size().

◆ fTda

UInt_t QMatrixC::fTda

protected

Definition at line 476 of file QMatrixC.hh.

Referenced by Clear(), GetSubMatrix(), MemRowCElements(), Print(), QMatrixC(), Resize(), and SetMat().

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

pkg/mathtools/QMatrixC.hh
pkg/mathtools/QMatrixC.cc

Public Member Functions

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ QMatrixC() [1/8]

◆ QMatrixC() [2/8]

◆ QMatrixC() [3/8]

◆ QMatrixC() [4/8]

◆ QMatrixC() [5/8]

◆ ~QMatrixC()

◆ QMatrixC() [6/8]

◆ QMatrixC() [7/8]

◆ QMatrixC() [8/8]

Member Function Documentation

◆ BuildTest()

◆ CholeskyDecompose()

◆ CholeskySolveX()

◆ Clear()

◆ Conjugate()

◆ Det()

◆ Div()

◆ GetCholeskyDecomposition()

◆ GetCol()

◆ GetConjugate()

◆ GetDiagonal()

◆ GetElement() [1/2]

◆ GetElement() [2/2]

◆ GetH()

◆ GetNCol()

◆ GetNRow()

◆ GetRow()

◆ GetSubMatrix() [1/2]

◆ GetSubMatrix() [2/2]

◆ GetSummedAreaMatrix()

◆ H()

◆ HermitianEigenSystem()

◆ HermitianEigenValues()

◆ Initialize() [1/2]

◆ Initialize() [2/2]

◆ Inv()

◆ Invert()

◆ Magnitude()

◆ MatrixCopy()

◆ MemRowCElements()

◆ Mult()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*() [1/4]

◆ operator*() [2/4]

◆ operator*() [3/4]

◆ operator*() [4/4]

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/() [1/2]

◆ operator/() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator=()

◆ Print()

◆ QObjectDef()

◆ Resize()

◆ SetCol()

◆ SetMat()

◆ SetRow()

◆ SetToIdentity()

◆ Size()

◆ T()

◆ Transpose()

Friends And Related Function Documentation

◆ QMatrixCArray