This class implements a nonsymmetric matrix stored in a compacted (skyline) form. More...

#include <skylineu.h>

Inheritance diagram for oofem::SkylineUnsym:

Collaboration diagram for oofem::SkylineUnsym:

Public Member Functions
	SkylineUnsym (int n)
	Constructor. More...

	SkylineUnsym ()
	Constructor. More...

virtual	~SkylineUnsym ()
	Destructor. More...

virtual SparseMtrx *	GiveCopy () const
	Returns a newly allocated copy of receiver. More...

virtual void	times (const FloatArray &x, FloatArray &answer) const
	Evaluates $y = A \cdot x$ . More...

virtual void	timesT (const FloatArray &x, FloatArray &answer) const
	Evaluates $y = A^{\mathrm{T}} \cdot x$ . More...

virtual void	times (double x)
	Multiplies receiver by scalar value. More...

virtual int	buildInternalStructure (EngngModel *, int, const UnknownNumberingScheme &s)
	Builds internal structure of receiver. More...

int	setInternalStructure (IntArray &a)

virtual int	assemble (const IntArray &loc, const FloatMatrix &mat)
	Assembles sparse matrix from contribution of local elements. More...

virtual int	assemble (const IntArray &rloc, const IntArray &cloc, const FloatMatrix &mat)
	Assembles sparse matrix from contribution of local elements. More...

virtual bool	canBeFactorized () const
	Determines, whether receiver can be factorized. More...

virtual SparseMtrx *	factorized ()
	Returns the receiver factorized. More...

virtual FloatArray *	backSubstitutionWith (FloatArray &) const
	Computes the solution of linear system $A\cdot x = y$ where A is receiver. More...

virtual void	zero ()
	Zeroes the receiver. More...

virtual double &	at (int i, int j)
	Returns coefficient at position (i,j). More...

virtual double	at (int i, int j) const
	Returns coefficient at position (i,j). More...

virtual void	toFloatMatrix (FloatMatrix &answer) const
	Converts receiving sparse matrix to a dense float matrix. More...

virtual void	printYourself () const
	Prints receiver to stdout. Works only for relatively small matrices. More...

virtual void	printStatistics () const
	Prints the receiver statistics (one-line) to stdout. More...

virtual void	writeToFile (const char *fname) const
	Helpful for debugging, writes the matrix to given file. More...

virtual SparseMtrxType	giveType () const
	Sparse matrix type identification. More...

virtual bool	isAsymmetric () const
	Returns true if asymmetric. More...

virtual const char *	giveClassName () const

Public Member Functions inherited from oofem::SparseMtrx
	SparseMtrx (int n, int m)
	Constructor, creates (n,m) sparse matrix. More...

	SparseMtrx ()
	Constructor. More...

virtual	~SparseMtrx ()
	Destructor. More...

SparseMtrxVersionType	giveVersion ()
	Return receiver version. More...

void	checkBounds (int i, int j) const
	Checks size of receiver towards requested bounds. More...

int	giveNumberOfRows () const
	Returns number of rows of receiver. More...

int	giveNumberOfColumns () const
	Returns number of columns of receiver. More...

bool	isSquare () const
	Returns nonzero if receiver is square matrix. More...

bool	isNotEmpty () const
	Tests for empty matrix. More...

virtual void	times (const FloatMatrix &B, FloatMatrix &answer) const
	Evaluates $C = A^{\mathrm{T}} \cdot B$ . More...

virtual void	timesT (const FloatMatrix &B, FloatMatrix &answer) const
	Evaluates $C = A^{\mathrm{T}} \cdot B$ . More...

virtual void	add (double x, SparseMtrx &m)
	Adds x * m. More...

virtual void	addDiagonal (double x, FloatArray &m)
	Adds x * m (treats m as a diagonal matrix, stored as an array) More...

virtual int	buildInternalStructure (EngngModel *eModel, int n, int m, const IntArray &I, const IntArray &J)
	Builds internal structure of receiver based on I and J. More...

virtual int	buildInternalStructure (EngngModel *eModel, int di, const UnknownNumberingScheme &r_s, const UnknownNumberingScheme &c_s)
	Build internal structure of receiver. More...

virtual int	assembleBegin ()
	Starts assembling the elements. More...

virtual int	assembleEnd ()
	Returns when assemble is completed. More...

virtual double	computeNorm () const
	Returns the norm of receiver. More...

virtual SparseMtrx *	giveSubMatrix (const IntArray &rows, const IntArray &cols)

virtual bool	isAllocatedAt (int i, int j) const
	Checks whether memory is allocated at position (i,j). More...

std::string	errorInfo (const char *func) const
	Error printing helper. More...

FloatArray	operator* (const FloatArray &x) const
	IML compatibility, $A \cdot x$ . More...

FloatArray	trans_mult (const FloatArray &x) const
	IML compatibility, $A^{\mathrm{T}} \cdot x$ . More...

Protected Member Functions
void	checkSizeTowards (const IntArray &)

void	checkSizeTowards (const IntArray &rloc, const IntArray &cloc)

RowColumn *	giveRowColumn (int j) const

void	growTo (int)

	SkylineUnsym (RowColumn **, int, int)

Protected Attributes
RowColumn **	rowColumns
	Row column segments. More...

int	size
	Size of receiver. More...

int	isFactorized
	Factorization flag. More...

Protected Attributes inherited from oofem::SparseMtrx
int	nRows
	Number of rows. More...

int	nColumns
	Number of columns. More...

SparseMtrxVersionType	version
	Allows to track if receiver changes. More...

Additional Inherited Members
Public Types inherited from oofem::SparseMtrx
typedef long	SparseMtrxVersionType

Detailed Description

This class implements a nonsymmetric matrix stored in a compacted (skyline) form.

Its shape is symmetric, but not its coefficients. The Skyline contains 'size' row-column segments, each of them of any size; these are stored in the attribute 'rowColumns'.

Definition at line 54 of file skylineu.h.

Constructor & Destructor Documentation

oofem::SkylineUnsym::SkylineUnsym ( int n )

Constructor.

Before any operation an internal profile must be built.

Parameters

n	Size of matrix

See also: buildInternalStructure

Definition at line 56 of file skylineu.C.

References isFactorized, rowColumns, and size.

oofem::SkylineUnsym::SkylineUnsym ( )

Constructor.

Before any operation an internal profile must be built.

See also: buildInternalStructure

Definition at line 65 of file skylineu.C.

References isFactorized, rowColumns, and size.

Referenced by GiveCopy().

oofem::SkylineUnsym::~SkylineUnsym ( )

virtual

Destructor.

Definition at line 74 of file skylineu.C.

References rowColumns, and size.

oofem::SkylineUnsym::SkylineUnsym	(	RowColumn **	newRowCol,
		int	newSize,
		int	isFact
	)

protected

Definition at line 793 of file skylineu.C.

References isFactorized, rowColumns, and size.

Member Function Documentation

int oofem::SkylineUnsym::assemble	(	const IntArray &	loc,
		const FloatMatrix &	mat
	)

virtual

Assembles sparse matrix from contribution of local elements.

This method for each element adds its contribution to itself. Mapping between local element contribution and its global position is given by local code numbers of element.

Parameters

loc	Location array. The values corresponding to zero loc array value are not assembled.
mat	Contribution to be assembled using loc array.

Returns: Zero iff successful.

Implements oofem::SparseMtrx.

Definition at line 139 of file skylineu.C.

References at(), oofem::IntArray::at(), oofem::FloatMatrix::at(), checkSizeTowards(), oofem::FloatMatrix::giveNumberOfRows(), oofem::IntArray::giveSize(), OOFEM_ERROR, and oofem::SparseMtrx::version.

int oofem::SkylineUnsym::assemble	(	const IntArray &	rloc,
		const IntArray &	cloc,
		const FloatMatrix &	mat
	)

virtual

Assembles sparse matrix from contribution of local elements.

This method for each element adds its contribution to itself. Mapping between local element contribution and its global position is given by row and column local code numbers.

Parameters

rloc	Row location array. The values corresponding to zero loc array value are not assembled.
cloc	Column location array. The values corresponding to zero loc array value are not assembled.
mat	Contribution to be assembled using rloc and cloc arrays. The rloc position determines the row, the cloc position determines the corresponding column.

Returns: Zero iff successful.

Implements oofem::SparseMtrx.

Definition at line 184 of file skylineu.C.

References at(), oofem::IntArray::at(), oofem::FloatMatrix::at(), checkSizeTowards(), oofem::FloatMatrix::giveNumberOfColumns(), oofem::FloatMatrix::giveNumberOfRows(), and oofem::SparseMtrx::version.

double & oofem::SkylineUnsym::at	(	int	i,
		int	j
	)

virtual

Returns coefficient at position (i,j).

Implements oofem::SparseMtrx.

Definition at line 107 of file skylineu.C.

References oofem::RowColumn::atDiag(), oofem::RowColumn::atL(), oofem::RowColumn::atU(), giveRowColumn(), and oofem::SparseMtrx::version.

Referenced by assemble(), and toFloatMatrix().

double oofem::SkylineUnsym::at	(	int	i,
		int	j
	)		const

virtual

Returns coefficient at position (i,j).

Implements oofem::SparseMtrx.

Definition at line 124 of file skylineu.C.

References oofem::RowColumn::atDiag(), oofem::RowColumn::atL(), oofem::RowColumn::atU(), and giveRowColumn().

FloatArray * oofem::SkylineUnsym::backSubstitutionWith ( FloatArray & y ) const

virtual

Computes the solution of linear system $A\cdot x = y$ where A is receiver.

Solution vector x overwrites the right hand side vector y. Receiver must be in factorized form.

Parameters

y	Right hand side on input, solution on output.

Returns: Pointer to y array.

Reimplemented from oofem::SparseMtrx.

Definition at line 532 of file skylineu.C.

References oofem::RowColumn::atDiag(), oofem::RowColumn::atU(), oofem::RowColumn::dot(), giveRowColumn(), oofem::RowColumn::giveStart(), OOFEM_ERROR, size, and SkylineUnsym_TINY_PIVOT.

int oofem::SkylineUnsym::buildInternalStructure	(	EngngModel *	eModel,
		int	di,
		const UnknownNumberingScheme &	s
	)

virtual

Builds internal structure of receiver.

This method determines the internal profile of sparse matrix, allocates necessary space for storing nonzero coefficients and initializes receiver. In general, the profile of sparse matrix is determined using one (or more) loop over local code numbers of elements. This method must be called before any operation, like assembly, zeroing, or multiplication.

Parameters