mat::Matrix< Treal > Class Template Reference

#include <Matrix.h>

Inheritance diagram for mat::Matrix< Treal >:

List of all members.

Public Types
typedef Vector< Treal, Treal >	VectorType
Public Member Functions
	Matrix ()
void	allocate ()
void	assignFromFull (std::vector< Treal > const &fullMat)
void	fullMatrix (std::vector< Treal > &fullMat) const
void	syFullMatrix (std::vector< Treal > &fullMat) const
void	syUpTriFullMatrix (std::vector< Treal > &fullMat) const
void	assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes)
void	addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes)
void	syAssignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	syAddValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const
void	getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values, std::vector< int > const &indexes) const
void	syGetValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const
void	getAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &values) const
void	syGetAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &values) const
Matrix< Treal > &	operator= (const Matrix< Treal > &mat)
void	clear ()
	Set matrix to zero and delete all arrays.
	~Matrix ()
void	writeToFile (std::ofstream &file) const
void	readFromFile (std::ifstream &file)
void	random ()
void	syRandom ()
void	randomZeroStructure (Treal probabilityBeingZero)
void	syRandomZeroStructure (Treal probabilityBeingZero)
template<typename TRule>
void	setElementsByRule (TRule &rule)
template<typename TRule>
void	sySetElementsByRule (TRule &rule)
void	addIdentity (Treal alpha)
void	symToNosym ()
void	nosymToSym ()
Matrix< Treal > &	operator= (int const k)
Matrix< Treal > &	operator *= (const Treal alpha)
Treal	frob () const
Treal	frobSquared () const
Treal	syFrob () const
Treal	syFrobSquared () const
Treal	trace () const
void	assign (Treal const alpha, Matrix< Treal > const &A)
void	getFrobSqLowestLevel (std::vector< Treal > &frobsq) const
void	frobThreshLowestLevel (Treal const threshold, Matrix< Treal > *ErrorMatrix)
void	getFrobSqElementLevel (std::vector< Treal > &frobsq) const
void	frobThreshElementLevel (Treal const threshold, Matrix< Treal > *ErrorMatrix)
void	assignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A)
void	syAssignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A)
void	assignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A, Matrix< Treal, Matrix< Treal > > const &B)
void	syAssignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A, Matrix< Treal, Matrix< Treal > > const &B)
void	truncateAccordingToSparsityPattern (Matrix< Treal, Matrix< Treal > > &A) const
Treal	frob_thresh (Treal const threshold, Matrix< Treal > *ErrorMatrix=0)
Treal	frob_squared_thresh (Treal const threshold, Matrix< Treal > *ErrorMatrix=0)
void	gersgorin (Treal &lmin, Treal &lmax) const
void	sy_gersgorin (Treal &lmin, Treal &lmax) const
void	add_abs_col_sums (Treal *abscolsums) const
void	get_diagonal (Treal *diag) const
size_t	memory_usage () const
size_t	nnz () const
	Returns number of nonzeros in matrix.
size_t	sy_nnz () const
	Returns number of nonzeros in matrix including lower triangle elements.
size_t	nvalues () const
	Returns number of stored values in matrix.
size_t	sy_nvalues () const
	Returns number of stored values in matrix.
template<class Top>
Treal	syAccumulateWith (Top &op)
template<class Top>
Treal	geAccumulateWith (Top &op)
Treal	maxAbsValue () const
Static Public Member Functions
static void	transpose (Matrix< Treal > const &A, Matrix< Treal > &AT)
static void	gemm (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	symm (const char side, const char uplo, const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	syrk (const char uplo, const bool tA, const Treal alpha, const Matrix< Treal > &A, const Treal beta, Matrix< Treal > &C)
static void	sysq (const char uplo, const Treal alpha, const Matrix< Treal > &A, const Treal beta, Matrix< Treal > &C)
static void	ssmm (const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	ssmm_upper_tr_only (const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	trmm (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal > &A, Matrix< Treal > &B)
static Treal	frobDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	frobSquaredDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	syFrobDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	syFrobSquaredDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	trace_ab (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	trace_aTb (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	sy_trace_ab (const Matrix< Treal > &A, const Matrix< Treal > &B)
static void	add (const Treal alpha, const Matrix< Treal > &A, Matrix< Treal > &B)
static void	gemm_upper_tr_only (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	sytr_upper_tr_only (char const side, const Treal alpha, Matrix< Treal > &A, const Matrix< Treal > &Z)
static void	trmm_upper_tr_only (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal > &A, Matrix< Treal > &B)
static void	trsytriplemm (char const side, const Matrix< Treal > &Z, Matrix< Treal > &A)
static void	inch (const Matrix< Treal > &A, Matrix< Treal > &Z, const Treal threshold=0, const side looking=left, const inchversion version=unstable)
static void	syInch (const Matrix< Treal > &A, Matrix< Treal > &Z, const Treal threshold=0, const side looking=left, const inchversion version=unstable)
static unsigned int	level ()
Static Private Attributes
static const Treal	ZERO = 0
static const Treal	ONE = 1
Friends
class	Vector< Treal, Treal >

template<class Treal>
class mat::Matrix< Treal >

---

Member Typedef Documentation

template<class Treal>

typedef Vector<Treal, Treal> mat::Matrix< Treal >::VectorType

---

Constructor & Destructor Documentation

template<class Treal>

mat::Matrix< Treal >::Matrix

(

)

[inline]

template<class Treal>

mat::Matrix< Treal >::~Matrix

(

)

[inline]

---

Member Function Documentation

template<class Treal>

void mat::Matrix< Treal >::add	(	const Treal	alpha,
		const Matrix< Treal > &	A,
		Matrix< Treal > &	B
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::add_abs_col_sums

(

Treal *

abscolsums

)

const

template<class Treal>

void mat::Matrix< Treal >::addIdentity

(

Treal

alpha

)

template<class Treal>

void mat::Matrix< Treal >::addValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values,
		std::vector< int > const &	indexes
	)

template<class Treal>

void mat::Matrix< Treal >::addValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

template<class Treal>

void mat::Matrix< Treal >::allocate

(

)

[inline]

template<class Treal>

void mat::Matrix< Treal >::assign	(	Treal const	alpha,
		Matrix< Treal > const &	A
	)

template<class Treal>

void mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel	(	Matrix< Treal, Matrix< Treal > > const &	A,
		Matrix< Treal, Matrix< Treal > > const &	B
	)			[inline]

template<class Treal>

void mat::Matrix< Treal >::assignFrobNormsLowestLevel

(

Matrix< Treal, Matrix< Treal > > const &

A

)

[inline]

template<class Treal>

void mat::Matrix< Treal >::assignFromFull

(

std::vector< Treal > const &

fullMat

)

template<class Treal>

void mat::Matrix< Treal >::assignFromSparse	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values,
		std::vector< int > const &	indexes
	)

template<class Treal>

void mat::Matrix< Treal >::assignFromSparse	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

template<class Treal>

void mat::Matrix< Treal >::clear

(

)

Set matrix to zero and delete all arrays.

template<class Treal>

Treal mat::Matrix< Treal >::frob

(

)

const [inline]

template<class Treal>

Treal mat::Matrix< Treal >::frob_squared_thresh	(	Treal const	threshold,
		Matrix< Treal > *	ErrorMatrix = 0
	)

template<class Treal>

Treal mat::Matrix< Treal >::frob_thresh	(	Treal const	threshold,
		Matrix< Treal > *	ErrorMatrix = 0
	)			[inline]

template<class Treal>

static Treal mat::Matrix< Treal >::frobDiff	(	const Matrix< Treal > &	A,
		const Matrix< Treal > &	B
	)			[inline, static]

template<class Treal>

Treal mat::Matrix< Treal >::frobSquared

(

)

const

template<class Treal>

Treal mat::Matrix< Treal >::frobSquaredDiff	(	const Matrix< Treal > &	A,
		const Matrix< Treal > &	B
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::frobThreshElementLevel	(	Treal const	threshold,
		Matrix< Treal > *	ErrorMatrix
	)

template<class Treal>

void mat::Matrix< Treal >::frobThreshLowestLevel	(	Treal const	threshold,
		Matrix< Treal > *	ErrorMatrix
	)

template<class Treal>

void mat::Matrix< Treal >::fullMatrix

(

std::vector< Treal > &

fullMat

)

const

template<class Treal>

template<class Top>

Treal mat::Matrix< Treal >::geAccumulateWith

(

Top &

op

)

[inline]

template<class Treal>

void mat::Matrix< Treal >::gemm	(	const bool	tA,
		const bool	tB,
		const Treal	alpha,
		const Matrix< Treal > &	A,
		const Matrix< Treal > &	B,
		const Treal	beta,
		Matrix< Treal > &	C
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::gemm_upper_tr_only	(	const bool	tA,
		const bool	tB,
		const Treal	alpha,
		const Matrix< Treal > &	A,
		const Matrix< Treal > &	B,
		const Treal	beta,
		Matrix< Treal > &	C
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::gersgorin	(	Treal &	lmin,
		Treal &	lmax
	)			const

template<class Treal>

void mat::Matrix< Treal >::get_diagonal

(

Treal *

diag

)

const

template<class Treal>

void mat::Matrix< Treal >::getAllValues	(	std::vector< int > &	rowind,
		std::vector< int > &	colind,
		std::vector< Treal > &	values
	)			const

template<class Treal>

void mat::Matrix< Treal >::getFrobSqElementLevel

(

std::vector< Treal > &

frobsq

)

const

template<class Treal>

void mat::Matrix< Treal >::getFrobSqLowestLevel

(

std::vector< Treal > &

frobsq

)

const

template<class Treal>

void mat::Matrix< Treal >::getValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > &	values,
		std::vector< int > const &	indexes
	)			const

template<class Treal>

void mat::Matrix< Treal >::getValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > &	values
	)			const

template<class Treal>

void mat::Matrix< Treal >::inch	(	const Matrix< Treal > &	A,
		Matrix< Treal > &	Z,
		const Treal	threshold = 0,
		const side	looking = left,
		const inchversion	version = unstable
	)			[static]

template<class Treal>

static unsigned int mat::Matrix< Treal >::level

(

)

[inline, static]

template<class Treal>

Treal mat::Matrix< Treal >::maxAbsValue

(

)

const [inline]

template<class Treal>

size_t mat::Matrix< Treal >::memory_usage

(

)

const [inline]

template<class Treal>

size_t mat::Matrix< Treal >::nnz

(

)

const [inline]

Returns number of nonzeros in matrix.

template<class Treal>

void mat::Matrix< Treal >::nosymToSym

(

)

template<class Treal>

size_t mat::Matrix< Treal >::nvalues

(

)

const [inline]

Returns number of stored values in matrix.

Returns same number as nnz()

template<class Treal>

Matrix< Treal > & mat::Matrix< Treal >::operator *=

(

const Treal

alpha

)

template<class Treal>

Matrix< Treal > & mat::Matrix< Treal >::operator=

(

int const

k

)

template<class Treal>

Matrix<Treal>& mat::Matrix< Treal >::operator=

(

const Matrix< Treal > &

mat

)

[inline]

template<class Treal>

void mat::Matrix< Treal >::random

(

)

template<class Treal>

void mat::Matrix< Treal >::randomZeroStructure

(

Treal

probabilityBeingZero

)

template<class Treal>

void mat::Matrix< Treal >::readFromFile

(

std::ifstream &

file

)

template<class Treal>

template<typename TRule>

void mat::Matrix< Treal >::setElementsByRule

(

TRule &

rule

)

template<class Treal>

void mat::Matrix< Treal >::ssmm	(	const Treal	alpha,
		const Matrix< Treal > &	A,
		const Matrix< Treal > &	B,
		const Treal	beta,
		Matrix< Treal > &	C
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::ssmm_upper_tr_only	(	const Treal	alpha,
		const Matrix< Treal > &	A,
		const Matrix< Treal > &	B,
		const Treal	beta,
		Matrix< Treal > &	C
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::sy_gersgorin	(	Treal &	lmin,
		Treal &	lmax
	)			const [inline]

template<class Treal>

size_t mat::Matrix< Treal >::sy_nnz

(

)

const [inline]

Returns number of nonzeros in matrix including lower triangle elements.

template<class Treal>

size_t mat::Matrix< Treal >::sy_nvalues

(

)

const [inline]

Returns number of stored values in matrix.

Lower triangle is not included. Different from sy_nnz().

template<class Treal>

Treal mat::Matrix< Treal >::sy_trace_ab	(	const Matrix< Treal > &	A,
		const Matrix< Treal > &	B
	)			[static]

template<class Treal>

template<class Top>

Treal mat::Matrix< Treal >::syAccumulateWith

(

Top &

op

)

[inline]

template<class Treal>

void mat::Matrix< Treal >::syAddValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

template<class Treal>

void mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel	(	Matrix< Treal, Matrix< Treal > > const &	A,
		Matrix< Treal, Matrix< Treal > > const &	B
	)			[inline]

template<class Treal>

void mat::Matrix< Treal >::syAssignFrobNormsLowestLevel

(

Matrix< Treal, Matrix< Treal > > const &

A

)

[inline]

template<class Treal>

void mat::Matrix< Treal >::syAssignFromSparse	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

template<class Treal>

Treal mat::Matrix< Treal >::syFrob

(

)

const [inline]

template<class Treal>

static Treal mat::Matrix< Treal >::syFrobDiff	(	const Matrix< Treal > &	A,
		const Matrix< Treal > &	B
	)			[inline, static]

template<class Treal>

Treal mat::Matrix< Treal >::syFrobSquared

(

)

const

template<class Treal>

Treal mat::Matrix< Treal >::syFrobSquaredDiff	(	const Matrix< Treal > &	A,
		const Matrix< Treal > &	B
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::syFullMatrix

(

std::vector< Treal > &

fullMat

)

const

template<class Treal>

void mat::Matrix< Treal >::syGetAllValues	(	std::vector< int > &	rowind,
		std::vector< int > &	colind,
		std::vector< Treal > &	values
	)			const

template<class Treal>

void mat::Matrix< Treal >::syGetValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > &	values
	)			const

template<class Treal>

static void mat::Matrix< Treal >::syInch	(	const Matrix< Treal > &	A,
		Matrix< Treal > &	Z,
		const Treal	threshold = 0,
		const side	looking = left,
		const inchversion	version = unstable
	)			[inline, static]

template<class Treal>

void mat::Matrix< Treal >::symm	(	const char	side,
		const char	uplo,
		const Treal	alpha,
		const Matrix< Treal > &	A,
		const Matrix< Treal > &	B,
		const Treal	beta,
		Matrix< Treal > &	C
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::symToNosym

(

)

template<class Treal>

void mat::Matrix< Treal >::syRandom

(

)

template<class Treal>

void mat::Matrix< Treal >::syRandomZeroStructure

(

Treal

probabilityBeingZero

)

template<class Treal>

void mat::Matrix< Treal >::syrk	(	const char	uplo,
		const bool	tA,
		const Treal	alpha,
		const Matrix< Treal > &	A,
		const Treal	beta,
		Matrix< Treal > &	C
	)			[static]

template<class Treal>

template<typename TRule>

void mat::Matrix< Treal >::sySetElementsByRule

(

TRule &

rule

)

template<class Treal>

void mat::Matrix< Treal >::sysq	(	const char	uplo,
		const Treal	alpha,
		const Matrix< Treal > &	A,
		const Treal	beta,
		Matrix< Treal > &	C
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::sytr_upper_tr_only	(	char const	side,
		const Treal	alpha,
		Matrix< Treal > &	A,
		const Matrix< Treal > &	Z
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::syUpTriFullMatrix

(

std::vector< Treal > &

fullMat

)

const

template<class Treal>

Treal mat::Matrix< Treal >::trace

(

)

const

template<class Treal>

Treal mat::Matrix< Treal >::trace_ab	(	const Matrix< Treal > &	A,
		const Matrix< Treal > &	B
	)			[static]

template<class Treal>

Treal mat::Matrix< Treal >::trace_aTb	(	const Matrix< Treal > &	A,
		const Matrix< Treal > &	B
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::transpose	(	Matrix< Treal > const &	A,
		Matrix< Treal > &	AT
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::trmm	(	const char	side,
		const char	uplo,
		const bool	tA,
		const Treal	alpha,
		const Matrix< Treal > &	A,
		Matrix< Treal > &	B
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::trmm_upper_tr_only	(	const char	side,
		const char	uplo,
		const bool	tA,
		const Treal	alpha,
		const Matrix< Treal > &	A,
		Matrix< Treal > &	B
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::trsytriplemm	(	char const	side,
		const Matrix< Treal > &	Z,
		Matrix< Treal > &	A
	)			[static]

template<class Treal>

void mat::Matrix< Treal >::truncateAccordingToSparsityPattern

(

Matrix< Treal, Matrix< Treal > > &

A

)

const [inline]

template<class Treal>

void mat::Matrix< Treal >::writeToFile

(

std::ofstream &

file

)

const

---

Friends And Related Function Documentation

template<class Treal>

friend class Vector< Treal, Treal > [friend]

---

Member Data Documentation

template<class Treal>

const Treal mat::Matrix< Treal >::ONE = 1 [static, private]

template<class Treal>

const Treal mat::Matrix< Treal >::ZERO = 0 [static, private]

---

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

• source/matrix/Matrix.h

---