Implements a skyline storage format. More...

#include <pzskylnsymmat.h>

Inheritance diagram for TPZSkylNSymMatrix< TVar >:

Collaboration diagram for TPZSkylNSymMatrix< TVar >:

Public Member Functions
	TPZSkylNSymMatrix ()

	TPZSkylNSymMatrix (const int64_t nrow, const int64_t ncol)

	TPZSkylNSymMatrix (const int64_t dim, const TPZVec< int64_t > &skyline)

	TPZSkylNSymMatrix (const TPZSkylNSymMatrix &A)

void	SetSkyline (const TPZVec< int64_t > &skyline)

int	SkyHeight (int64_t col)

virtual int	IsSimetric () const override

virtual	~TPZSkylNSymMatrix ()

int	PutVal (const int64_t row, const int64_t col, const TVar &element) override

const TVar &	GetVal (const int64_t row, const int64_t col) const override

const TVar &	GetValSup (const int64_t row, const int64_t col) const
	Pega o valor na diagonal ou parte de cima da diagonal. More...

const TVar &	GetValB (const int64_t row, const int64_t col) const
	Pega o valor abaixo da diagonal (below) 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...

TVar &	operator() (const int64_t row)

virtual void	MultAdd (const TPZFMatrix< TVar > &x, const TPZFMatrix< TVar > &y, TPZFMatrix< TVar > &z, const TVar alpha, const TVar beta, 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...

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

int	Decompose_LU () override

int	Subst_Backward (TPZFMatrix< TVar > *b) const override

int	Subst_LForward (TPZFMatrix< TVar > *b) const override

int	ClassId () const override
	Return the id of the matrix defined pzmatrixid.h. 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...

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

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...

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

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

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

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_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	Substitution (TPZFMatrix< TVar > *B) const
	Computes Forward and Backward substitution for a "LU" decomposed matrix. More...

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

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

virtual int	Resize (const int64_t newRows, const int64_t newCols)
	Redimensions a matriz keeping the previous values. More...

virtual int	Redim (const int64_t newRows, const int64_t newCols)
	Redimensions the matrix reinitializing it with zero. 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

Protected Member Functions
TVar *	Diag (int64_t col)

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...

Protected Attributes
TPZVec< TVar * >	fElem

TPZVec< TVar * >	fElemb

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...

Private Member Functions
int	Clear () override

void	Copy (const TPZSkylNSymMatrix &)

int	Size (const int64_t column) const

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

Static Private Member Functions
static int64_t	NumElements (const TPZVec< int64_t > &skyline)

static void	InitializeElem (const TPZVec< int64_t > &skyline, TPZManVector< TVar > &storage, TPZVec< TVar *> &elem)

static void	ComputeMaxSkyline (const TPZSkylNSymMatrix &first, const TPZSkylNSymMatrix &second, TPZVec< int > &res)

Private Attributes
TPZManVector< TVar >	fStorage

TPZManVector< TVar >	fStorageb

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)

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...

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

Detailed Description

template<class TVar = REAL>
class TPZSkylNSymMatrix< TVar >

Implements a skyline storage format.

Note: Esta classe gerencia matrizes do tipo SkyLine nao simetricas.

Definition at line 33 of file pzskylnsymmat.h.

Constructor & Destructor Documentation

◆ TPZSkylNSymMatrix() [1/4]

template<class TVar = REAL>

TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix ( )

inline

Definition at line 36 of file pzskylnsymmat.h.

◆ TPZSkylNSymMatrix() [2/4]

template<class TVar >

TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix	(	const int64_t	row,
		const int64_t	col
	)

TPZSkylMatrix ** ************************** PUBLIC *************************** ************************** * Construtor (int) **

Definition at line 61 of file pzskylnsymmat.cpp.

References DebugStop, TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, and TPZVec< T >::Fill().

◆ TPZSkylNSymMatrix() [3/4]

template<class TVar >

TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix	(	const int64_t	dim,
		const TPZVec< int64_t > &	skyline
	)

Construct a skyline matrix of dimension dim skyline indicates the minimum row number which will be accessed by each equation

Definition at line 75 of file pzskylnsymmat.cpp.

References TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZVec< T >::Fill(), TPZSkylNSymMatrix< TVar >::fStorage, TPZSkylNSymMatrix< TVar >::fStorageb, and TPZSkylNSymMatrix< TVar >::InitializeElem().

◆ TPZSkylNSymMatrix() [4/4]

template<class TVar = REAL>

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

inline

Definition at line 46 of file pzskylnsymmat.h.

References CLONEDEF, TPZSkylNSymMatrix< TVar >::Copy(), and TPZSkylNSymMatrix< TVar >::SetSkyline().

◆ ~TPZSkylNSymMatrix()

template<class TVar = REAL>

virtual TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix ( )

inlinevirtual

Definition at line 72 of file pzskylnsymmat.h.

Member Function Documentation

◆ AutoFill()

template<class TVar >

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

Fill matrix storage with randomic values.

This method use GetVal and PutVal which are implemented by each type matrices

Fill the matrix with random values (non singular matrix)

Fill data

Making diagonally dominant and non zero in diagonal

Definition at line 1567 of file pzskylnsymmat.cpp.

References DebugStop, TPZMatrix< TVar >::Error(), fabs, TPZSkylNSymMatrix< TVar >::GetVal(), IsZero(), TPZSkylNSymMatrix< TVar >::PutVal(), TPZMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), TPZSkylNSymMatrix< TVar >::SetSkyline(), and val().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ ClassId()

template<class TVar >

int TPZSkylNSymMatrix< TVar >::ClassId ( ) const

overridevirtual

Return the id of the matrix defined pzmatrixid.h.

Reimplemented from TPZMatrix< TVar >.

Definition at line 249 of file pzskylnsymmat.h.

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

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ Clear()

template<class TVar >

int TPZSkylNSymMatrix< TVar >::Clear ( )

overrideprivatevirtual

Subst Diag ** ****************** * Subst Backward ** ************************** PRIVATE *************************** ************ * PutZero ** ********** * Error ** ********** * CLear **

Reimplemented from TPZMatrix< TVar >.

Definition at line 1204 of file pzskylnsymmat.cpp.

References TPZMatrix< TVar >::fCol, TPZMatrix< TVar >::fDecomposed, TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZMatrix< TVar >::fRow, TPZSkylNSymMatrix< TVar >::fStorage, TPZSkylNSymMatrix< TVar >::fStorageb, TPZManVector< T, NumExtAlloc >::Resize(), TPZVec< T >::Resize(), and TPZManVector< T, NumExtAlloc >::Shrink().

Referenced by TPZSkylNSymMatrix< TVar >::Diag(), and TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ ComputeMaxSkyline()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::ComputeMaxSkyline	(	const TPZSkylNSymMatrix< TVar > &	first,
		const TPZSkylNSymMatrix< TVar > &	second,
		TPZVec< int > &	res
	)

staticprivate

Computes the highest skyline of both objects

Definition at line 164 of file pzskylnsymmat.cpp.

References TPZVec< T >::Resize(), TPZMatrix< TVar >::Rows(), and TPZSkylNSymMatrix< TVar >::Size().

Referenced by TPZSkylNSymMatrix< TVar >::Size().

◆ Copy()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::Copy ( const TPZSkylNSymMatrix< TVar > & A )

private

Copy **

Definition at line 1221 of file pzskylnsymmat.cpp.

References TPZMatrix< TVar >::Dim(), dimension, TPZMatrix< TVar >::fCol, TPZMatrix< TVar >::fDecomposed, TPZMatrix< TVar >::fDefPositive, TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZMatrix< TVar >::fRow, TPZSkylNSymMatrix< TVar >::fStorage, TPZSkylNSymMatrix< TVar >::fStorageb, TPZVec< T >::NElements(), and TPZVec< T >::Resize().

Referenced by TPZSkylNSymMatrix< TVar >::Diag(), and TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix().

◆ Decompose_LU()

template<class TVar >

int TPZSkylNSymMatrix< TVar >::Decompose_LU ( )

overridevirtual

****** Operacoes com matrizes SKY LINE ******* *************** * Operator = ** *************** * Operator + ** *************** * Operator - ** **************** * Operator += ** **************** * Operator -= ** ****** Operacoes com valores NUMERICOS ******* ************************** * Operator * ( REAL ) ** *************************** * Operator *= ( REAL ) ** *********** * Resize ** ********** * Redim ** ****************** * LU Decomposition **

Reimplemented from TPZMatrix< TVar >.

Definition at line 868 of file pzskylnsymmat.cpp.

References TPZMatrix< TVar >::Dim(), dimension, ELU, TPZMatrix< TVar >::Error(), fabs, TPZMatrix< TVar >::fDecomposed, TPZMatrix< TVar >::fDefPositive, TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, PZError, and TPZSkylNSymMatrix< TVar >::Size().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ Diag()

template<class TVar = REAL>

TVar* TPZSkylNSymMatrix< TVar >::Diag ( int64_t col )

inlineprotected

This method returns a pointer to the diagonal element of the matrix of the col column

Definition at line 174 of file pzskylnsymmat.h.

References TPZSkylNSymMatrix< TVar >::Clear(), TPZSkylNSymMatrix< TVar >::Copy(), and TPZSkylNSymMatrix< TVar >::fElem.

◆ GetVal()

template<class TVar >

const TVar & TPZSkylNSymMatrix< TVar >::GetVal	(	const int64_t	r,
		const int64_t	c
	)		const

overridevirtual

GetVal **

Reimplemented from TPZMatrix< TVar >.

Definition at line 500 of file pzskylnsymmat.cpp.

References DebugStop, TPZMatrix< TVar >::Dim(), TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZMatrix< TVar >::gZero, and TPZSkylNSymMatrix< TVar >::Size().

Referenced by TPZSkylNSymMatrix< TVar >::AutoFill(), and TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ GetValB()

template<class TVar >

const TVar & TPZSkylNSymMatrix< TVar >::GetValB	(	const int64_t	row,
		const int64_t	col
	)		const

Pega o valor abaixo da diagonal (below)

Definition at line 580 of file pzskylnsymmat.cpp.

References DebugStop, TPZMatrix< TVar >::Dim(), TPZSkylNSymMatrix< TVar >::fElem, TPZMatrix< TVar >::gZero, and TPZSkylNSymMatrix< TVar >::Size().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ GetValSup()

template<class TVar >

const TVar & TPZSkylNSymMatrix< TVar >::GetValSup	(	const int64_t	row,
		const int64_t	col
	)		const

Pega o valor na diagonal ou parte de cima da diagonal.

Definition at line 559 of file pzskylnsymmat.cpp.

References DebugStop, TPZMatrix< TVar >::Dim(), TPZSkylNSymMatrix< TVar >::fElem, TPZMatrix< TVar >::gZero, and TPZSkylNSymMatrix< TVar >::Size().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ InitializeElem()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::InitializeElem	(	const TPZVec< int64_t > &	skyline,
		TPZManVector< TVar > &	storage,
		TPZVec< TVar *> &	elem
	)

staticprivate

Definition at line 138 of file pzskylnsymmat.cpp.

References TPZVec< T >::Fill(), TPZVec< T >::NElements(), TPZSkylNSymMatrix< TVar >::NumElements(), TPZManVector< T, NumExtAlloc >::Resize(), and TPZVec< T >::Resize().

Referenced by TPZSkylNSymMatrix< TVar >::SetSkyline(), TPZSkylNSymMatrix< TVar >::Size(), and TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix().

◆ IsSimetric()

template<class TVar = REAL>

virtual int TPZSkylNSymMatrix< TVar >::IsSimetric ( ) const

inlineoverridevirtual

Add a skyline matrix B with same structure of this It makes this += k * Bdeclare the object as non-symmetric matrix

Reimplemented from TPZMatrix< TVar >.

Definition at line 70 of file pzskylnsymmat.h.

◆ MultAdd()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::MultAdd	(	const TPZFMatrix< TVar > &	x,
		const TPZFMatrix< TVar > &	y,
		TPZFMatrix< TVar > &	z,
		const TVar	alpha,
		const TVar	beta,
		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 272 of file pzskylnsymmat.cpp.

References TPZMatrix< TVar >::Cols(), TPZMatrix< TVar >::Error(), TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZFMatrix< TVar >::g(), TPZMatrix< TVar >::PrepareZ(), TPZFMatrix< TVar >::Redim(), TPZMatrix< TVar >::Rows(), TPZSkylNSymMatrix< TVar >::Size(), and val().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ NumElements()

template<class TVar >

int64_t TPZSkylNSymMatrix< TVar >::NumElements ( const TPZVec< int64_t > & skyline )

staticprivate

Definition at line 128 of file pzskylnsymmat.cpp.

References TPZVec< T >::NElements().

Referenced by TPZSkylNSymMatrix< TVar >::InitializeElem(), and TPZSkylNSymMatrix< TVar >::Size().

◆ operator()() [1/2]

template<class TVar >

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

Definition at line 185 of file pzskylnsymmat.cpp.

References DebugStop, TPZMatrix< TVar >::Error(), TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, and TPZSkylNSymMatrix< TVar >::Size().

Referenced by TPZSkylNSymMatrix< TVar >::operator()(), TPZSkylNSymMatrix< TVar >::s(), and TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ operator()() [2/2]

template<class TVar >

TVar & TPZSkylNSymMatrix< TVar >::operator() ( const int64_t row )

Definition at line 221 of file pzskylnsymmat.cpp.

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

◆ PutVal()

template<class TVar >

int TPZSkylNSymMatrix< TVar >::PutVal	(	const int64_t	r,
		const int64_t	c,
		const TVar &	value
	)

overridevirtual

PutVal **

Reimplemented from TPZMatrix< TVar >.

Definition at line 229 of file pzskylnsymmat.cpp.

References TPZMatrix< TVar >::Error(), TPZMatrix< TVar >::fDecomposed, TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, IsZero(), and TPZSkylNSymMatrix< TVar >::Size().

Referenced by TPZSkylNSymMatrix< TVar >::AutoFill(), and TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ Read()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

Unpacks the object structure from a stream of bytes.

Parameters

buf	The buffer containing the object in a packed form
context

Reimplemented from TPZMatrix< TVar >.

Definition at line 1524 of file pzskylnsymmat.cpp.

References TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZSkylNSymMatrix< TVar >::fStorage, TPZSkylNSymMatrix< TVar >::fStorageb, TPZStream::Read(), TPZMatrix< TVar >::Read(), TPZVec< T >::Resize(), and TPZMatrix< TVar >::Rows().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ s()

template<class TVar >

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

overridevirtual

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 215 of file pzskylnsymmat.cpp.

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

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ SetSkyline()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::SetSkyline ( const TPZVec< int64_t > & skyline )

modify the skyline of the matrix, throwing away its values skyline indicates the minimum row number which will be accessed by each equation

Definition at line 119 of file pzskylnsymmat.cpp.

References TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZVec< T >::Fill(), TPZSkylNSymMatrix< TVar >::fStorage, TPZSkylNSymMatrix< TVar >::fStorageb, and TPZSkylNSymMatrix< TVar >::InitializeElem().

Referenced by TPZSkylNSymMatrix< TVar >::AutoFill(), and TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix().

◆ Size()

template<class TVar = REAL>

int TPZSkylNSymMatrix< TVar >::Size ( const int64_t column ) const

inlineprivate

Definition at line 187 of file pzskylnsymmat.h.

References TPZSkylNSymMatrix< TVar >::ComputeMaxSkyline(), TPZSkylNSymMatrix< TVar >::fElem, substruct_tst15.test::first, TPZSkylNSymMatrix< TVar >::InitializeElem(), TPZSkylNSymMatrix< TVar >::NumElements(), and test::res.

Referenced by TPZSkylNSymMatrix< TVar >::ComputeMaxSkyline(), TPZSkylNSymMatrix< TVar >::Decompose_LU(), TPZSkylNSymMatrix< TVar >::GetVal(), TPZSkylNSymMatrix< TVar >::GetValB(), TPZSkylNSymMatrix< TVar >::GetValSup(), TPZSkylNSymMatrix< TVar >::MultAdd(), TPZSkylNSymMatrix< TVar >::operator()(), and TPZSkylNSymMatrix< TVar >::PutVal().

◆ SkyHeight()

template<class TVar = REAL>

int TPZSkylNSymMatrix< TVar >::SkyHeight ( int64_t col )

inline

return the height of the skyline for a given column

Definition at line 62 of file pzskylnsymmat.h.

References TPZSkylNSymMatrix< TVar >::fElem.

◆ Subst_Backward()

template<class TVar >

int TPZSkylNSymMatrix< TVar >::Subst_Backward ( TPZFMatrix< TVar > * B ) const

overridevirtual

Subst Forward ** ****************** * Subst Backward **

Reimplemented from TPZMatrix< TVar >.

Definition at line 1027 of file pzskylnsymmat.cpp.

References TPZMatrix< TVar >::Cols(), TPZMatrix< TVar >::Dim(), ELU, TPZMatrix< TVar >::Error(), TPZMatrix< TVar >::fDecomposed, TPZSkylNSymMatrix< TVar >::fElem, TPZMatrix< TVar >::Rows(), and val().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ Subst_LForward()

template<class TVar >

int TPZSkylNSymMatrix< TVar >::Subst_LForward ( TPZFMatrix< TVar > * B ) const

overridevirtual

Subst L Forward **

Reimplemented from TPZMatrix< TVar >.

Definition at line 1078 of file pzskylnsymmat.cpp.

References TPZMatrix< TVar >::Cols(), TPZMatrix< TVar >::Dim(), dimension, ELDLt, ELU, TPZMatrix< TVar >::fDecomposed, TPZSkylNSymMatrix< TVar >::fElemb, and TPZMatrix< TVar >::Rows().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ UpdateFrom()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::UpdateFrom ( TPZAutoPointer< TPZMatrix< TVar > > mat )

overridevirtual

Updates the values of the matrix based on the values of the matrix.

Reimplemented from TPZMatrix< TVar >.

Definition at line 347 of file pzskylnsymmat.cpp.

References DebugStop, TPZMatrix< TVar >::fDecomposed, TPZMatrix< TVar >::fDefPositive, TPZSkylNSymMatrix< TVar >::fStorage, TPZSkylNSymMatrix< TVar >::fStorageb, matrix, and TPZVec< T >::NElements().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ Write()

template<class TVar >

void TPZSkylNSymMatrix< TVar >::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Packs the object structure in a stream of bytes.

Parameters

buf	Buffer which will receive the bytes
withclassid

Reimplemented from TPZMatrix< TVar >.

Definition at line 1546 of file pzskylnsymmat.cpp.

References TPZSkylNSymMatrix< TVar >::fElem, TPZSkylNSymMatrix< TVar >::fElemb, TPZSkylNSymMatrix< TVar >::fStorage, TPZSkylNSymMatrix< TVar >::fStorageb, TPZMatrix< TVar >::Rows(), TPZStream::Write(), and TPZMatrix< TVar >::Write().

Referenced by TPZSkylNSymMatrix< TVar >::~TPZSkylNSymMatrix().

◆ Zero()

template<class TVar = REAL>

virtual int TPZSkylNSymMatrix< TVar >::Zero ( )

inlineoverrideprivatevirtual

Zeroes the matrix.

Reimplemented from TPZMatrix< TVar >.

Definition at line 196 of file pzskylnsymmat.h.

References TPZVec< T >::Fill(), TPZSkylNSymMatrix< TVar >::fStorage, and TPZSkylNSymMatrix< TVar >::fStorageb.

Member Data Documentation

◆ fElem

template<class TVar = REAL>

TPZVec<TVar *> TPZSkylNSymMatrix< TVar >::fElem

protected

fElem is of size number of equation+1 fElem[i] is the first element of the skyline of equation i fElem[Rows()] is one element beyond the last equation

Definition at line 209 of file pzskylnsymmat.h.

◆ fElemb

template<class TVar = REAL>

TPZVec<TVar *> TPZSkylNSymMatrix< TVar >::fElemb

protected

fElemb storages skyline Below diagonal fElemb is of size number of equation+1 fElemb[i] is the first element of the skyline of equation i fElemb[Rows()] is one element beyond the last equation

Definition at line 217 of file pzskylnsymmat.h.

Referenced by TPZSkylNSymMatrix< TVar >::Clear(), TPZSkylNSymMatrix< TVar >::Copy(), TPZSkylNSymMatrix< TVar >::Decompose_LU(), TPZSkylNSymMatrix< TVar >::GetVal(), TPZSkylNSymMatrix< TVar >::MultAdd(), TPZSkylNSymMatrix< TVar >::operator()(), TPZSkylNSymMatrix< TVar >::PutVal(), TPZSkylNSymMatrix< TVar >::Read(), TPZSkylNSymMatrix< TVar >::SetSkyline(), TPZSkylNSymMatrix< TVar >::Subst_LForward(), TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix(), and TPZSkylNSymMatrix< TVar >::Write().

◆ fStorage

template<class TVar = REAL>

TPZManVector<TVar> TPZSkylNSymMatrix< TVar >::fStorage

private

fStorage is a unique vector which contains all the data of the skyline matrix

Definition at line 223 of file pzskylnsymmat.h.

Referenced by TPZSkylNSymMatrix< TVar >::Clear(), TPZSkylNSymMatrix< TVar >::Copy(), TPZSkylNSymMatrix< TVar >::Read(), TPZSkylNSymMatrix< TVar >::SetSkyline(), TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix(), TPZSkylNSymMatrix< TVar >::UpdateFrom(), TPZSkylNSymMatrix< TVar >::Write(), and TPZSkylNSymMatrix< TVar >::Zero().

◆ fStorageb

template<class TVar = REAL>

TPZManVector<TVar> TPZSkylNSymMatrix< TVar >::fStorageb

private

fStorage is a unique vector which contains all the data of the skyline matrix below diagonal

Definition at line 228 of file pzskylnsymmat.h.

Referenced by TPZSkylNSymMatrix< TVar >::Clear(), TPZSkylNSymMatrix< TVar >::Copy(), TPZSkylNSymMatrix< TVar >::Read(), TPZSkylNSymMatrix< TVar >::SetSkyline(), TPZSkylNSymMatrix< TVar >::TPZSkylNSymMatrix(), TPZSkylNSymMatrix< TVar >::UpdateFrom(), TPZSkylNSymMatrix< TVar >::Write(), and TPZSkylNSymMatrix< TVar >::Zero().

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

Matrix/pzskylnsymmat.h
Matrix/pzskylnsymmat.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Static Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class TVar = REAL> class TPZSkylNSymMatrix< TVar >

Constructor & Destructor Documentation

◆ TPZSkylNSymMatrix() [1/4]

◆ TPZSkylNSymMatrix() [2/4]

◆ TPZSkylNSymMatrix() [3/4]

◆ TPZSkylNSymMatrix() [4/4]

◆ ~TPZSkylNSymMatrix()

Member Function Documentation

◆ AutoFill()

◆ ClassId()

◆ Clear()

◆ ComputeMaxSkyline()

◆ Copy()

◆ Decompose_LU()

◆ Diag()

◆ GetVal()

◆ GetValB()

◆ GetValSup()

◆ InitializeElem()

◆ IsSimetric()

◆ MultAdd()

◆ NumElements()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ PutVal()

◆ Read()

◆ s()

◆ SetSkyline()

◆ Size()

◆ SkyHeight()

◆ Subst_Backward()

◆ Subst_LForward()

◆ UpdateFrom()

◆ Write()

◆ Zero()

Member Data Documentation

◆ fElem

◆ fElemb

◆ fStorage

◆ fStorageb

template<class TVar = REAL>
class TPZSkylNSymMatrix< TVar >