Defines a non symmetric banded matrix. Matrix. More...

#include <pzbndmat.h>

Inheritance diagram for TPZFBMatrix< TVar >:

Collaboration diagram for TPZFBMatrix< TVar >:

Public Member Functions
virtual int	Substitution (TPZFMatrix< TVar > *B) const override
	Computes Forward and Backward substitution for a "LU" decomposed matrix. More...

	TPZFBMatrix ()
	Simple constructor. More...

	TPZFBMatrix (const int64_t dim, const int64_t band_width=0)
	Constructor. More...

	TPZFBMatrix (const TPZFBMatrix< TVar > &)
	Copy constructor. More...

	~TPZFBMatrix ()
	Simple destructor. More...

template<class TVar2 >
void	CopyFrom (TPZFBMatrix< TVar2 > &orig)
	copy the values from a matrix with a different precision More...

void	AutoFill (int64_t nrow, int64_t ncol, int symmetric)

int	Put (const int64_t row, const int64_t col, const TVar &value) override
	Put values with bounds checking if DEBUG variable is defined. More...

const TVar &	Get (const int64_t row, const int64_t col) const override
	Get value with bound checking. More...

TVar &	operator() (const int64_t row, const int64_t col)

virtual TVar &	s (const int64_t row, const int64_t col) override
	The operators check on the bounds if the DEBUG variable is defined. More...

int	PutVal (const int64_t row, const int64_t col, const TVar &value) override
	Put values without bounds checking This method is faster than "Put" if DEBUG is defined. More...

const TVar &	GetVal (const int64_t row, const int64_t col) const override
	Get values without bounds checking This method is faster than "Get" if DEBUG is defined. More...

void	MultAdd (const TPZFMatrix< TVar > &x, const TPZFMatrix< TVar > &y, TPZFMatrix< TVar > &z, const TVar alpha=1, const TVar beta=0, const int opt=0) const override
	It computes z = beta * y + alpha * opt(this)*x but z and x can not overlap in memory. More...

TPZFBMatrix &	operator= (const TPZFBMatrix< TVar > &A)

TPZFBMatrix	operator+ (const TPZFBMatrix< TVar > &A) const

TPZFBMatrix	operator- (const TPZFBMatrix< TVar > &A) const

TPZFBMatrix &	operator+= (const TPZFBMatrix< TVar > &A)

TPZFBMatrix &	operator-= (const TPZFBMatrix< TVar > &A)

TPZFBMatrix	operator* (const TVar val) const

TPZFBMatrix &	operator*= (const TVar val)

TPZFBMatrix	operator- () const

int64_t	Dim () const override
	Returns the dimension of the matrix if the matrix is square. More...

int64_t	GetBandLower () const
	Returns band size. More...

int64_t	GetBandUpper () const

int64_t	GetBand () const

int	SetBand (const int64_t newBand)
	Sets band size. More...

int	Resize (const int64_t newRows, const int64_t newCols) override
	Redimension the matrix preserving its elements. More...

int	Redim (const int64_t newRows, const int64_t newCols) override
	Redimension the matrix and make zero its elements. More...

int	Zero () override
	Zeroes the matrix. More...

void	Transpose (TPZMatrix< TVar > *const T) const override
	It makes *T the transpose of current matrix. More...

int	ClassId () const override
	Define the class id associated with the class. More...

template<>
TPZFBMatrix< std::complex< float > > &	operator*= (const std::complex< float > value)

template<>
TPZFBMatrix< std::complex< double > > &	operator*= (const std::complex< double > value)

Public Member Functions inherited from TPZMatrix< TVar >
	TPZMatrix ()
	Simple constructor. More...

	TPZMatrix (const TPZMatrix< TVar > &cp)

virtual	~TPZMatrix ()
	Simple destructor. More...

virtual TPZMatrix< TVar > *	Clone () const =0

virtual int64_t	MemoryFootprint () const
	Returns the approximate size of the memory footprint (amount of memory required to store this object). More...

template<class TVar2 >
void	CopyFrom (TPZMatrix< TVar2 > &copy)

void	AutoFill (int64_t nrow, int64_t ncol, int symmetric)
	Fill matrix storage with randomic values. More...

virtual int	VerifySymmetry (REAL tol=1.e-13) const
	Checks if current matrix value is symmetric. More...

const TVar &	g (const int64_t row, const int64_t col) const
	Substitution for the () operator when const arguments are needed. More...

TVar &	operator() (const int64_t row, const int64_t col)
	The operators check on the bounds if the DEBUG variable is defined. More...

TVar &	operator() (const int64_t row)
	The operators check on the bounds if the DEBUG variable is defined. More...

virtual void	AddKel (TPZFMatrix< TVar > &elmat, TPZVec< int64_t > &destinationindex)
	Add a contribution of a stiffness matrix. More...

virtual void	AddKel (TPZFMatrix< TVar > &elmat, TPZVec< int64_t > &sourceindex, TPZVec< int64_t > &destinationindex)
	Add a contribution of a stiffness matrix. More...

void	SetIsDecomposed (int val)
	Sets current matrix to decomposed state. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) override
	Compare the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const override
	Compare the object for identity with the object pointed to, eventually copy the object. More...

virtual void	GetSub (const TPZVec< int64_t > &indices, TPZFMatrix< TVar > &block) const
	Extract the block indicated by the indices from the matrix. More...

bool	CompareValues (TPZMatrix< TVar > &M, TVar tol)
	Compare values of this to B, with a precision tolerance tol. More...

template<>
void	Print (const char *name, std::ostream &out, const MatrixOutputFormat form) const

template<>
void	Print (const char *name, std::ostream &out, const MatrixOutputFormat form) const

template<>
void	Print (const char *name, std::ostream &out, const MatrixOutputFormat form) const

template<>
void	SolveCG (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveCG (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveCG (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveGMRES (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, TPZFMatrix< std::complex< float > > &H, int &numvectors, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveGMRES (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, TPZFMatrix< std::complex< double > > &H, int &numvectors, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveGMRES (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, TPZFMatrix< std::complex< long double > > &H, int &numvectors, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveBICG (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, REAL &tol)

template<>
void	SolveBICG (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, REAL &tol)

template<>
void	SolveBICG (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, REAL &tol)

template<>
void	SolveBICGStab (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveBICGStab (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveBICGStab (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveIR (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveIR (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveIR (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< std::complex< float > > *Sort)

template<>
bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< std::complex< double > > *Sort)

template<>
bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< std::complex< long double > > *Sort)

virtual void	Multiply (const TPZFMatrix< TVar > &A, TPZFMatrix< TVar > &res, int opt=0) const
	It mutiplies itself by TPZMatrix<TVar>A putting the result in res. More...

virtual void	Add (const TPZMatrix< TVar > &A, TPZMatrix< TVar > &res) const
	It adds itself to TPZMatrix<TVar>A putting the result in res. More...

virtual void	Residual (const TPZFMatrix< TVar > &x, const TPZFMatrix< TVar > &rhs, TPZFMatrix< TVar > &res)
	Computes res = rhs - this * x. More...

virtual void	Substract (const TPZMatrix< TVar > &A, TPZMatrix< TVar > &result) const
	It substracts A from storing the result in result. More...

virtual void	Identity ()
	Converts the matrix in an identity matrix. More...

int	Inverse (TPZFMatrix< TVar > &Inv, DecomposeType dec)
	It makes Inv =[this]. IMPORTANT OBSERVATION –> The original matrix (calling object) no is more equal. It containts the some decomposition (LU or Cholesky or ...) More...

TVar	MatrixNorm (int p, int64_t numiter=2000000, REAL tol=1.e-10) const
	Computes the matrix norm of this. More...

TVar	ConditionNumber (int p, int64_t numiter=2000000, REAL tol=1.e-10)
	Computes the matrix condition number of this. More...

virtual int	PutSub (const int64_t sRow, const int64_t sCol, const TPZFMatrix< TVar > &Source)
	It puts submatrix Source on actual matrix structure. More...

virtual int	GetSub (const int64_t sRow, const int64_t sCol, const int64_t rowSize, const int64_t colSize, TPZFMatrix< TVar > &Target) const
	Gets submatrix storing it on Target. More...

virtual int	AddSub (const int64_t sRow, const int64_t sCol, const TPZFMatrix< TVar > &Source)
	It adds Source matrix on current matrix from position (sRow, sCol) More...

virtual int	InsertSub (const int64_t sRow, const int64_t sCol, const int64_t rowSize, const int64_t colSize, const int64_t pRow, const int64_t pCol, TPZMatrix< TVar > *Target) const
	Inserts a submatrix from current object on matrix *Target with no redimentioning. More...

virtual int	AddSub (const int64_t sRow, const int64_t sCol, const int64_t rowSize, const int64_t colSize, const int64_t pRow, const int64_t pCol, TPZMatrix< TVar > *pA) const
	Adds a submatrix from current object in *Target. More...

virtual void	UpdateFrom (TPZAutoPointer< TPZMatrix< TVar > >)
	Updates the values of the matrix based on the values of the matrix. More...

virtual int	IsSimetric () const
	Checks if the current matrix is symmetric. More...

int	IsSquare () const
	Checks if current matrix is square. More...

virtual void	Simetrize ()
	Simetrizes copies upper plan to the lower plan, making its data simetric. More...

virtual int	IsDefPositive () const
	Checks if current matrix is definite positive. More...

int	IsDecomposed () const
	Checks if current matrix is already decomposed. More...

virtual int	Decompose_LU (std::list< int64_t > &singular)
	Decomposes the current matrix using LU decomposition. More...

virtual int	Decompose_LU ()

virtual int	Decompose_Cholesky ()
	Decomposes the current matrix using Cholesky method. The current matrix has to be symmetric. More...

virtual int	Decompose_Cholesky (std::list< int64_t > &singular)
	Decomposes the current matrix using Cholesky method. More...

virtual int	Decompose_LDLt (std::list< int64_t > &singular)
	Decomposes the current matrix using LDLt. The current matrix has to be symmetric. "L" is lower triangular with 1.0 in its diagonal and "D" is a Diagonal matrix. More...

virtual int	Decompose_LDLt ()
	Decomposes the current matrix using LDLt. More...

virtual int	Subst_Forward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is lower triangular. More...

virtual int	Subst_Backward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is upper triangular. More...

virtual int	Subst_LForward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is lower triangular with A(i,i)=1. More...

virtual int	Subst_LBackward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is upper triangular with A(i,i)=1. More...

virtual int	Subst_Diag (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is diagonal matrix. More...

int	ClassId () const override
	Define the class id associated with the class. More...

void	Read (TPZStream &buf, void *context) override
	Unpacks the object structure from a stream of bytes. More...

void	Write (TPZStream &buf, int withclassid) const override
	Packs the object structure in a stream of bytes. More...

virtual void	Input (std::istream &in=std::cin)
	Input operation. More...

virtual void	Print (std::ostream &out) const

virtual void	Print (const char *name, std::ostream &out=std::cout, const MatrixOutputFormat form=EFormatted) const
	It prints the matrix data in a MatrixFormat Rows X Cols. More...

int64_t	Rows () const
	Returns number of rows. More...

int64_t	Cols () const
	Returns number of cols. More...

virtual void	SolveJacobi (int64_t &numiterations, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, TPZFMatrix< TVar > &scratch, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Jacobi method. . More...

virtual void	SolveSOR (int64_t &numiterations, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, TPZFMatrix< TVar > &scratch, const REAL overrelax, REAL &tol, const int FromCurrent=0, const int direction=1)
	Solves the linear system using Successive Over Relaxation method (Gauss Seidel). . More...

virtual void	SolveSSOR (int64_t &numiterations, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, TPZFMatrix< TVar > &scratch, const REAL overrelax, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Symmetric Successive Over Relaxation method (Gauss Seidel). . More...

virtual void	SolveCG (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Conjugate Gradient method. . More...

virtual void	SolveBICG (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, REAL &tol)
	Solves the linear system using Bi-Conjugate Gradient method. . More...

virtual void	SolveBICGStab (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Bi-Conjugate Gradient stabilized method. . More...

virtual void	SolveGMRES (int64_t &numiterations, TPZSolver< TVar > &preconditioner, TPZFMatrix< TVar > &H, int &numvectors, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent)
	Solves the linear system using Generalized Minimal Residual (GMRES) method. . More...

virtual void	SolveIR (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent=0)
	Solves the linear system using IR method. . More...

virtual bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< TVar > *Sort=0)
	Transforms this matrix in a diagonal matrix, where the diagonal values are its eigenvalues. This method is efficient only for small matrices. More...

virtual bool	SolveEigensystemJacobi (int64_t &numiterations, REAL &tol, TPZVec< TVar > &Eigenvalues, TPZFMatrix< TVar > &Eigenvectors) const
	Compute Eigenvalues and Eigenvectors of this matrix. This method is efficient only for small matrices. More...

virtual int	SolveDirect (TPZFMatrix< TVar > &F, const DecomposeType dt, std::list< int64_t > &singular)
	Solves the linear system using Direct methods. More...

virtual int	SolveDirect (TPZFMatrix< TVar > &F, const DecomposeType dt)
	Solves the linear system using Direct methods. More...

virtual int	Decompose (const DecomposeType dt, std::list< int64_t > &singular)
	decompose the system of equations acording to the decomposition scheme More...

int	Solve_LU (TPZFMatrix< TVar > *B, std::list< int64_t > &singular)
	Solves the linear system using LU method . More...

int	Solve_LU (TPZFMatrix< TVar > *B)
	Solves the linear system using LU method . More...

virtual int	Solve_Cholesky (TPZFMatrix< TVar > *B)
	Solves the linear system using Cholesky method . More...

int	Solve_Cholesky (TPZFMatrix< TVar > *B, std::list< int64_t > &singular)
	Solves the linear system using Cholesky method . More...

int	Solve_LDLt (TPZFMatrix< TVar > *B, std::list< int64_t > &singular)
	Solves the linear system using LDLt method . More...

int	Solve_LDLt (TPZFMatrix< TVar > *B)
	Solves the linear system using LDLt method . More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Private Member Functions
int64_t	Index (int64_t i, int64_t j) const

int	Clear () override
	It clears data structure. More...

Private Attributes
TPZVec< TVar >	fElem

int64_t	fBandLower

int64_t	fBandUpper

Friends
class	TPZFBMatrix< float >

class	TPZFBMatrix< double >

Additional Inherited Members
Static Public Member Functions inherited from TPZMatrix< TVar >
static int	Error (const char msg, const char msg2=0)
	Returns error messages. More...

static TVar	ReturnNearestValue (TVar val, TPZVec< TVar > &Vec, TVar tol)
	Retorna o valor mais proximo a "val" (exceto valores no intervalo -tol <= val <= +tol) contido no vetor Vec. More...

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Protected Member Functions inherited from TPZMatrix< TVar >
void	PrepareZ (const TPZFMatrix< TVar > &y, TPZFMatrix< TVar > &z, const TVar beta, const int opt) const
	Is an auxiliar method used by MultiplyAdd. More...

	TPZMatrix (const int64_t row, const int64_t col)
	Constructor. More...

Static Protected Member Functions inherited from TPZMatrix< TVar >
static void	Swap (int64_t a, int64_t b)
	Swaps contents of a in b and b in a. More...

Protected Attributes inherited from TPZMatrix< TVar >
int64_t	fRow
	Number of rows in matrix. More...

int64_t	fCol
	Number of cols in matrix. More...

char	fDecomposed
	Decomposition type used to decompose the current matrix. More...

char	fDefPositive
	Definite Posistiveness of current matrix. More...

Static Protected Attributes inherited from TPZMatrix< TVar >
static TVar	gZero
	Initializing value to static variable. More...

Detailed Description

template<class TVar>
class TPZFBMatrix< TVar >

Defines a non symmetric banded matrix. Matrix.

Author: MISAEL LUIS SANTANA MANDUJANO.

Since: 12/1994

Definition at line 25 of file pzbndmat.h.

Constructor & Destructor Documentation

◆ TPZFBMatrix() [1/3]

template<class TVar >

TPZFBMatrix< TVar >::TPZFBMatrix ( )

Simple constructor.

Definition at line 27 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::fBandLower, and TPZFBMatrix< TVar >::fBandUpper.

◆ TPZFBMatrix() [2/3]

template<class TVar >

TPZFBMatrix< TVar >::TPZFBMatrix	(	const int64_t	dim,
		const int64_t	band_width = `0`
	)

Constructor.

Parameters

dim	Initial dimension of banded matrix
band_width	Initial band width of banded matrix

Definition at line 39 of file pzbndmat.cpp.

◆ TPZFBMatrix() [3/3]

template<class TVar >

TPZFBMatrix< TVar >::TPZFBMatrix ( const TPZFBMatrix< TVar > & A )

Copy constructor.

Definition at line 51 of file pzbndmat.cpp.

◆ ~TPZFBMatrix()

template<class TVar >

TPZFBMatrix< TVar >::~TPZFBMatrix ( )

Simple destructor.

Definition at line 62 of file pzbndmat.cpp.

Member Function Documentation

◆ AutoFill()

template<class TVar >

void TPZFBMatrix< TVar >::AutoFill	(	int64_t	nrow,
		int64_t	ncol,
		int	symmetric
	)

Definition at line 351 of file pzbndmat.cpp.

References DebugStop, TPZFBMatrix< TVar >::GetVal(), TPZFBMatrix< TVar >::PutVal(), and val().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ ClassId()

template<class TVar >

int TPZFBMatrix< TVar >::ClassId ( ) const

overridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Implements TPZSavable.

Definition at line 634 of file pzbndmat.cpp.

References TPZMatrix< TVar >::ClassId(), and Hash().

Referenced by TPZFBMatrix< TVar >::GetBand().

◆ Clear()

template<class TVar >

int TPZFBMatrix< TVar >::Clear ( )

overrideprivatevirtual

It clears data structure.

Reimplemented from TPZMatrix< TVar >.

Definition at line 645 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZMatrix< TVar >::fCol, TPZFBMatrix< TVar >::fElem, TPZMatrix< TVar >::fRow, and TPZVec< T >::resize().

Referenced by TPZFBMatrix< TVar >::Index().

◆ CopyFrom()

template<class TVar>

template<class TVar2 >

void TPZFBMatrix< TVar >::CopyFrom ( TPZFBMatrix< TVar2 > & orig )

inline

◆ Dim()

template<class TVar>

int64_t TPZFBMatrix< TVar >::Dim ( ) const

inlineoverridevirtual

Returns the dimension of the matrix if the matrix is square.

If the matrix is not square, returns an error

Reimplemented from TPZMatrix< TVar >.

Definition at line 103 of file pzbndmat.h.

References TPZMatrix< TVar >::Rows().

Referenced by TPZFBMatrix< TVar >::Get(), TPZFBMatrix< TVar >::MultAdd(), TPZFBMatrix< TVar >::operator+(), TPZFBMatrix< TVar >::operator+=(), TPZFBMatrix< TVar >::operator-(), TPZFBMatrix< TVar >::operator-=(), TPZFBMatrix< TVar >::Put(), TPZFBMatrix< TVar >::SetBand(), and TPZFBMatrix< TVar >::Transpose().

◆ Get()

template<class TVar >

const TVar & TPZFBMatrix< TVar >::Get	(	const int64_t	row,
		const int64_t	col
	)		const

overridevirtual

Get value with bound checking.

Parameters

row	Row number.
col	Column number.

Reimplemented from TPZMatrix< TVar >.

Definition at line 93 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::Dim(), TPZMatrix< TVar >::Error(), and TPZFBMatrix< TVar >::GetVal().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ GetBand()

template<class TVar>

int64_t TPZFBMatrix< TVar >::GetBand ( ) const

inline

Definition at line 113 of file pzbndmat.h.

References TPZFBMatrix< TVar >::ClassId(), DebugStop, TPZMatrix< TVar >::Decompose_LU(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::Redim(), TPZFBMatrix< TVar >::Resize(), TPZFBMatrix< TVar >::SetBand(), TPZFBMatrix< TVar >::Transpose(), and TPZFBMatrix< TVar >::Zero().

◆ GetBandLower()

template<class TVar>

int64_t TPZFBMatrix< TVar >::GetBandLower ( ) const

inline

Returns band size.

Definition at line 105 of file pzbndmat.h.

References TPZFBMatrix< TVar >::fBandLower.

◆ GetBandUpper()

template<class TVar>

int64_t TPZFBMatrix< TVar >::GetBandUpper ( ) const

inline

Definition at line 109 of file pzbndmat.h.

References TPZFBMatrix< TVar >::fBandUpper.

◆ GetVal()

template<class TVar >

const TVar & TPZFBMatrix< TVar >::GetVal	(	const int64_t	,
		const int64_t
	)		const

inlineoverridevirtual

Get values without bounds checking
This method is faster than "Get" if DEBUG is defined.

Reimplemented from TPZMatrix< TVar >.

Definition at line 190 of file pzbndmat.h.

References DebugStop, TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZMatrix< TVar >::fCol, TPZFBMatrix< TVar >::fElem, TPZMatrix< TVar >::fRow, TPZFBMatrix< TVar >::Index(), and TPZFBMatrix< TVar >::Zero().

Referenced by TPZFBMatrix< TVar >::AutoFill(), TPZFBMatrix< TVar >::CopyFrom(), TPZFBMatrix< TVar >::Get(), TPZFBMatrix< TVar >::MultAdd(), and TPZFBMatrix< TVar >::Transpose().

◆ Index()

template<class TVar>

int64_t TPZFBMatrix< TVar >::Index	(	int64_t	i,
		int64_t	j
	)		const

inlineprivate

Definition at line 148 of file pzbndmat.h.

References TPZFBMatrix< TVar >::Clear(), TPZFBMatrix< TVar >::fBandLower, and TPZFBMatrix< TVar >::fBandUpper.

Referenced by TPZFBMatrix< TVar >::GetVal(), TPZFBMatrix< TVar >::operator()(), and TPZFBMatrix< TVar >::PutVal().

◆ MultAdd()

template<class TVar >

void TPZFBMatrix< TVar >::MultAdd	(	const TPZFMatrix< TVar > &	x,
		const TPZFMatrix< TVar > &	y,
		TPZFMatrix< TVar > &	z,
		const TVar	alpha = `1`,
		const TVar	beta = `0`,
		const int	opt = `0`
	)		const

overridevirtual

It computes z = beta * y + alpha * opt(this)*x but z and x can not overlap in memory.

Parameters

x	Is x on the above operation
y	Is y on the above operation
z	Is z on the above operation
alpha	Is alpha on the above operation
beta	Is beta on the above operation
opt	Indicates if is Transpose or not

Reimplemented from TPZMatrix< TVar >.

Definition at line 221 of file pzbndmat.cpp.

References TPZMatrix< TVar >::Cols(), TPZFBMatrix< TVar >::Dim(), TPZMatrix< TVar >::Error(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::GetVal(), TPZFMatrix< TVar >::GetVal(), MAX, MIN, TPZMatrix< TVar >::PrepareZ(), TPZFMatrix< TVar >::PutVal(), TPZMatrix< TVar >::Rows(), and val().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ operator()()

template<class TVar >

TVar & TPZFBMatrix< TVar >::operator()	(	const int64_t	row,
		const int64_t	col
	)

inline

Definition at line 206 of file pzbndmat.h.

References DebugStop, TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, TPZFBMatrix< TVar >::Index(), and TPZFBMatrix< TVar >::Zero().

Referenced by TPZFBMatrix< TVar >::CopyFrom(), and TPZFBMatrix< TVar >::s().

◆ operator*()

template<class TVar >

TPZFBMatrix< TVar > TPZFBMatrix< TVar >::operator* ( const TVar val ) const

Definition at line 285 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::fElem, test::res, and TPZVec< T >::size().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ operator*=() [1/3]

template<class TVar >

TPZFBMatrix< TVar > & TPZFBMatrix< TVar >::operator*= ( const TVar val )

Definition at line 337 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::fElem, and TPZVec< T >::size().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ operator*=() [2/3]

template<>

TPZFBMatrix< std::complex< float > > & TPZFBMatrix< std::complex< float > >::operator*= ( const std::complex< float > value )

Definition at line 305 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::fElem, and TPZVec< T >::size().

◆ operator*=() [3/3]

template<>

TPZFBMatrix< std::complex< double > > & TPZFBMatrix< std::complex< double > >::operator*= ( const std::complex< double > value )

Definition at line 320 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::fElem, and TPZVec< T >::size().

◆ operator+()

template<class TVar >

TPZFBMatrix< TVar > TPZFBMatrix< TVar >::operator+ ( const TPZFBMatrix< TVar > & A ) const

Definition at line 129 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::Dim(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, test::res, and TPZVec< T >::size().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ operator+=()

template<class TVar >

TPZFBMatrix< TVar > & TPZFBMatrix< TVar >::operator+= ( const TPZFBMatrix< TVar > & A )

Definition at line 177 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::Dim(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, and TPZVec< T >::size().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ operator-() [1/2]

template<class TVar >

TPZFBMatrix< TVar > TPZFBMatrix< TVar >::operator- ( const TPZFBMatrix< TVar > & A ) const

Definition at line 150 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::Dim(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, test::res, and TPZVec< T >::size().

◆ operator-() [2/2]

template<class TVar >

TPZFBMatrix< TVar > TPZFBMatrix< TVar >::operator- ( ) const

Definition at line 269 of file pzbndmat.cpp.

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ operator-=()

template<class TVar >

TPZFBMatrix< TVar > & TPZFBMatrix< TVar >::operator-= ( const TPZFBMatrix< TVar > & A )

Definition at line 197 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::Dim(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, and TPZVec< T >::size().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ operator=()

template<class TVar >

TPZFBMatrix< TVar > & TPZFBMatrix< TVar >::operator= ( const TPZFBMatrix< TVar > & A )

Definition at line 111 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, and TPZFBMatrix< TVar >::fElem.

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ Put()

template<class TVar >

int TPZFBMatrix< TVar >::Put	(	const int64_t	row,
		const int64_t	col,
		const TVar &	value
	)

overridevirtual

Put values with bounds checking if DEBUG variable is defined.

Parameters

row	Row number.
col	Column number.
value	Value being put.

Reimplemented from TPZMatrix< TVar >.

Definition at line 73 of file pzbndmat.cpp.

References DebugStop, TPZFBMatrix< TVar >::Dim(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, and TPZFBMatrix< TVar >::PutVal().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ PutVal()

template<class TVar >

int TPZFBMatrix< TVar >::PutVal	(	const int64_t	,
		const int64_t	,
		const TVar &	val
	)

inlineoverridevirtual

Put values without bounds checking
This method is faster than "Put" if DEBUG is defined.

Reimplemented from TPZMatrix< TVar >.

Definition at line 170 of file pzbndmat.h.

References DebugStop, TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, TPZFBMatrix< TVar >::Index(), and IsZero().

Referenced by TPZFBMatrix< TVar >::AutoFill(), TPZFBMatrix< TVar >::CopyFrom(), TPZFBMatrix< TVar >::Put(), and TPZMatrixMarket::Read().

◆ Redim()

template<class TVar >

int TPZFBMatrix< TVar >::Redim	(	const int64_t	newRows,
		const int64_t	newCols
	)

overridevirtual

Redimension the matrix and make zero its elements.

Reimplemented from TPZMatrix< TVar >.

Definition at line 412 of file pzbndmat.cpp.

References TPZMatrix< TVar >::Error(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, TPZMatrix< TVar >::Redim(), TPZVec< T >::Resize(), and TPZFBMatrix< TVar >::Zero().

Referenced by TPZFBMatrix< TVar >::GetBand(), TPZMatrixMarket::Read(), and TPZFBMatrix< TVar >::Resize().

◆ Resize()

template<class TVar >

int TPZFBMatrix< TVar >::Resize	(	const int64_t	newRows,
		const int64_t	newCols
	)

overridevirtual

Redimension the matrix preserving its elements.

Reimplemented from TPZMatrix< TVar >.

Definition at line 396 of file pzbndmat.cpp.

References TPZMatrix< TVar >::Error(), and TPZFBMatrix< TVar >::Redim().

Referenced by TPZFBMatrix< TVar >::GetBand().

◆ s()

template<class TVar >

TVar & TPZFBMatrix< TVar >::s	(	const int64_t	row,
		const int64_t	col
	)

inlineoverridevirtual

The operators check on the bounds if the DEBUG variable is defined.

Parameters

row	Row number.
col	Column number.

Reimplemented from TPZMatrix< TVar >.

Definition at line 216 of file pzbndmat.h.

References TPZFBMatrix< TVar >::operator()().

Referenced by TPZFBMatrix< TVar >::CopyFrom().

◆ SetBand()

template<class TVar >

int TPZFBMatrix< TVar >::SetBand ( const int64_t newBand )

Sets band size.

Parameters

newBand New band size

Definition at line 458 of file pzbndmat.cpp.

References TPZFBMatrix< TVar >::Dim(), TPZMatrix< TVar >::Error(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZFBMatrix< TVar >::fElem, TPZVec< T >::resize(), and TPZFBMatrix< TVar >::Zero().

Referenced by TPZFBMatrix< TVar >::GetBand(), and TPZMatrixMarket::Read().

◆ Substitution()

template<class TVar >

int TPZFBMatrix< TVar >::Substitution ( TPZFMatrix< TVar > * B ) const

overridevirtual

Computes Forward and Backward substitution for a "LU" decomposed matrix.

Parameters

B	right hand side and result after all

Reimplemented from TPZMatrix< TVar >.

Definition at line 624 of file pzbndmat.cpp.

References DebugStop, ELU, TPZMatrix< TVar >::fDecomposed, and TPZMatrix< TVar >::Substitution().

Referenced by TPZFBMatrix< TVar >::Transpose().

◆ Transpose()

template<class TVar >

void TPZFBMatrix< TVar >::Transpose ( TPZMatrix< TVar > *const T ) const

overridevirtual

It makes *T the transpose of current matrix.

Reimplemented from TPZMatrix< TVar >.

Definition at line 477 of file pzbndmat.cpp.

References TPZMatrix< TVar >::Cols(), DebugStop, TPZMatrix< TVar >::Decompose_LU(), TPZFBMatrix< TVar >::Dim(), ELU, TPZMatrix< TVar >::Error(), TPZFBMatrix< TVar >::fBandLower, TPZFBMatrix< TVar >::fBandUpper, TPZMatrix< TVar >::fDecomposed, TPZFBMatrix< TVar >::fElem, TPZFBMatrix< TVar >::GetVal(), MAX, MIN, TPZMatrix< TVar >::PutVal(), TPZMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), TPZFMatrix< TVar >::s(), and TPZFBMatrix< TVar >::Substitution().

Referenced by TPZFBMatrix< TVar >::GetBand().

◆ Zero()

template<class TVar >

int TPZFBMatrix< TVar >::Zero ( )

overridevirtual

Zeroes the matrix.

Reimplemented from TPZMatrix< TVar >.

Definition at line 439 of file pzbndmat.cpp.

References TPZMatrix< TVar >::fDecomposed, TPZFBMatrix< TVar >::fElem, and TPZVec< T >::size().

Referenced by TPZFBMatrix< TVar >::GetBand(), TPZFBMatrix< TVar >::GetVal(), TPZFBMatrix< TVar >::operator()(), TPZFBMatrix< TVar >::Redim(), and TPZFBMatrix< TVar >::SetBand().

Friends And Related Function Documentation

◆ TPZFBMatrix< double >

template<class TVar>

friend class TPZFBMatrix< double >

friend

Definition at line 46 of file pzbndmat.h.

◆ TPZFBMatrix< float >

template<class TVar>

friend class TPZFBMatrix< float >

friend

Definition at line 45 of file pzbndmat.h.

Member Data Documentation

◆ fBandLower

◆ fBandUpper

◆ fElem

template<class TVar>

TPZVec<TVar> TPZFBMatrix< TVar >::fElem

private

Definition at line 154 of file pzbndmat.h.

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

Matrix/pzbndmat.h
Matrix/pzbndmat.cpp

Public Member Functions

Private Member Functions

Private Attributes

Friends

Additional Inherited Members

Detailed Description

template<class TVar> class TPZFBMatrix< TVar >

Constructor & Destructor Documentation

◆ TPZFBMatrix() [1/3]

◆ TPZFBMatrix() [2/3]

◆ TPZFBMatrix() [3/3]

◆ ~TPZFBMatrix()

Member Function Documentation

◆ AutoFill()

◆ ClassId()

◆ Clear()

◆ CopyFrom()

◆ Dim()

◆ Get()

◆ GetBand()

◆ GetBandLower()

◆ GetBandUpper()

◆ GetVal()

◆ Index()

◆ MultAdd()

◆ operator()()

◆ operator*()

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator=()

◆ Put()

◆ PutVal()

◆ Redim()

◆ Resize()

◆ s()

◆ SetBand()

◆ Substitution()

◆ Transpose()

◆ Zero()

Friends And Related Function Documentation

◆ TPZFBMatrix< double >

◆ TPZFBMatrix< float >

Member Data Documentation

◆ fBandLower

◆ fBandUpper

◆ fElem

template<class TVar>
class TPZFBMatrix< TVar >