Temporary storage for a sparse matrix. More...

#include <matrix_coo.hpp>

Collaboration diagram for la::MatrixCoo< INDT, VALT >:

Classes
struct	TripleDiagEntry_
	returns true if the entry is on diagonal, i.e. row == column More...

struct	TripleLessThan_
	returns true if the index pair of the first entry is smaller than of the second entry More...

struct	TripleRowIndexLessThan_
	returns true if the row of an entry is smaller than a prescribed index More...

struct	TripleRowLessThan_
	returns true if the first entry has smaller ROW index than the second one More...

Public Types
typedef INDT	IndexType

typedef VALT	ValueType

Public Member Functions
	MatrixCoo (unsigned nRows=0, unsigned nCols=0)

	~MatrixCoo ()

IndexType	nnz () const
	Return number of non-zeros. More...

void	prepareAssembly (const IndexType length)

void	insert (const IndexType i, const IndexType j, const ValueType value)
	Insert a value to unassembled vector. More...

void	finishAssembly ()
	Finalize matrix assembly - build the assembled input and truncate matrix. More...

void	getIntervalCounts (IndexType low, IndexType high, std::vector< IndexType > &nnzRowsIn, std::vector< IndexType > &nnzRowsOut)
	Determine number of nonzeros within a block [low,high) - used for PETSc preallocation. More...

void	getEntry (IndexType index, IndexType &row, IndexType &col, ValueType &val)
	Get specific entry. More...

void	zeroRow (const IndexType row, const ValueType factor)
	Zero a row and set diagonal to scalar. More...

void	setCompressedRowArrays (std::vector< IndexType > &colIndices, std::vector< IndexType > &rowPtrs, std::vector< ValueType > &values)

void	extractArrays (std::vector< IndexType > &rowIndices, std::vector< IndexType > &colIndices, std::vector< ValueType > &values, bool onlyUpperTriangle=false)
	Fill independent arrays with column indices, row pointers and values. More...

void	clear ()
	destroy all contents More...

void	erase ()
	erase all contents More...

std::ostream &	write (std::ostream &out)
	debug-output More...

double	infNorm ()
	Compute maximal row sum (infinity-norm) of a matrix in coordinate format. More...

ValueType	frobeniusNorm ()
	Return Frobenius norm of matrix $\|\|a_{ij}\|\|_F=\sqrt{\sum_i\sum_j \|a_{ij}\|^2}$ . More...

double	getDiagScalar ()

Private Types
typedef std::pair< IndexType, IndexType >	IndexPair_
	pair of indices More...

typedef std::pair< IndexPair_, ValueType >	Triple_
	triple More...

typedef std::vector< Triple_ >	MatrixCooVec_
	vector of triples More...

Private Member Functions
IndexType	deduceNumRows_ ()

Triple_	combineTriples_ (typename MatrixCooVec_::const_iterator itb, typename MatrixCooVec_::const_iterator ite)
	merge range of triples by addition More...

Private Attributes
MatrixCooVec_	matrixCooVec_
	matrix in coordinate format <i,j, values> More...

IndexType	nRows_
	number of rows of matrix More...

IndexType	nCols_
	number of columns of matrix More...

unsigned	sortedSize_
	number of sorted entries More...

bool	sorted_
	state variable - is matrix sorted? More...

Detailed Description

template<typename INDT, typename VALT>
class la::MatrixCoo< INDT, VALT >

Temporary storage for a sparse matrix.

This object stores and handles matrix in coordinate format, i.e., <row_index,col_index,value>-combinations for each matrix entry of a sparse matrix. Functionalities are:

preparing assembly of elements - allocating proper space to all elements in unassembled form
inserting an element - it is user's responsibility not to insert zeros
finishing assembly of elements - this is the core routine which
- sorts triples, merges entries with the same pair of indices, truncates the array to assembled size
'zeroing' a row and setting its diagonal entry to a given value
query of number of entries - this counts also zeros if they were inserted
get inside/outide-a-range counts of elements - for PETSc preallocation
filling the arrays for a row-compressed data storage for external solver libraries
computing inf norm
cleanup and writing

Definition at line 34 of file matrix_coo.hpp.

Member Typedef Documentation

template<typename INDT, typename VALT>

typedef std::pair<IndexType, IndexType> la::MatrixCoo< INDT, VALT >::IndexPair_

private

pair of indices

Definition at line 458 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

typedef INDT la::MatrixCoo< INDT, VALT >::IndexType

Definition at line 60 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

typedef std::vector<Triple_> la::MatrixCoo< INDT, VALT >::MatrixCooVec_

private

vector of triples

Definition at line 460 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

typedef std::pair<IndexPair_,ValueType> la::MatrixCoo< INDT, VALT >::Triple_

private

triple

Definition at line 459 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

typedef VALT la::MatrixCoo< INDT, VALT >::ValueType

Definition at line 61 of file matrix_coo.hpp.

Constructor & Destructor Documentation

template<typename INDT, typename VALT>

la::MatrixCoo< INDT, VALT >::MatrixCoo	(	unsigned	nRows = `0`,
		unsigned	nCols = `0`
	)

inline

Definition at line 64 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

la::MatrixCoo< INDT, VALT >::~MatrixCoo ( )

inline

Definition at line 72 of file matrix_coo.hpp.

Member Function Documentation

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::clear ( )

inline

destroy all contents

Definition at line 325 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

Triple_ la::MatrixCoo< INDT, VALT >::combineTriples_	(	typename MatrixCooVec_::const_iterator	itb,
		typename MatrixCooVec_::const_iterator	ite
	)

inlineprivate

merge range of triples by addition

Definition at line 540 of file matrix_coo.hpp.

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template<typename INDT, typename VALT>

IndexType la::MatrixCoo< INDT, VALT >::deduceNumRows_ ( )

inlineprivate

deduce number of rows - if it was given by user, use it, otherwise, deduce it from the index of the last entry

Definition at line 475 of file matrix_coo.hpp.

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template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::erase ( )

inline

erase all contents

Definition at line 334 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::extractArrays	(	std::vector< IndexType > &	rowIndices,
		std::vector< IndexType > &	colIndices,
		std::vector< ValueType > &	values,
		bool	onlyUpperTriangle = `false`
	)

inline

Fill independent arrays with column indices, row pointers and values.

Definition at line 290 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::finishAssembly ( )

inline

Finalize matrix assembly - build the assembled input and truncate matrix.

Definition at line 111 of file matrix_coo.hpp.

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template<typename INDT, typename VALT>

ValueType la::MatrixCoo< INDT, VALT >::frobeniusNorm ( )

inline

Return Frobenius norm of matrix $||a_{ij}||_F=\sqrt{\sum_i\sum_j |a_{ij}|^2}$ .

Definition at line 391 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

double la::MatrixCoo< INDT, VALT >::getDiagScalar ( )

inline

Get scalar suitable to be put on diagonal while fixing BC This is the mean value of extremal entries on diagonal - the aim of this guess is to be within the spectra of the original matrix - this value immediately corresponds to an eigenvalue

Definition at line 416 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::getEntry	(	IndexType	index,
		IndexType &	row,
		IndexType &	col,
		ValueType &	val
	)

inline

Get specific entry.

Definition at line 194 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::getIntervalCounts	(	IndexType	low,
		IndexType	high,
		std::vector< IndexType > &	nnzRowsIn,
		std::vector< IndexType > &	nnzRowsOut
	)

inline

Determine number of nonzeros within a block [low,high) - used for PETSc preallocation.

Definition at line 158 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

double la::MatrixCoo< INDT, VALT >::infNorm ( )

inline

Compute maximal row sum (infinity-norm) of a matrix in coordinate format.

Definition at line 371 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::insert	(	const IndexType	i,
		const IndexType	j,
		const ValueType	value
	)

inline

Insert a value to unassembled vector.

Definition at line 90 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

IndexType la::MatrixCoo< INDT, VALT >::nnz ( ) const

inline

Return number of non-zeros.

Definition at line 77 of file matrix_coo.hpp.

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template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::prepareAssembly ( const IndexType length )

inline

Prepare matrix for assembly - allocate buffer for UNASSEMBLED entries serial copies of element matrices to memory length = numElements * size( elementMatrix )

Definition at line 82 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::setCompressedRowArrays	(	std::vector< IndexType > &	colIndices,
		std::vector< IndexType > &	rowPtrs,
		std::vector< ValueType > &	values
	)

inline

Fill arrays with column indices, row pointers and values for row-compressed data storage

Definition at line 247 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

std::ostream& la::MatrixCoo< INDT, VALT >::write ( std::ostream & out )

inline

debug-output

Definition at line 349 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

void la::MatrixCoo< INDT, VALT >::zeroRow	(	const IndexType	row,
		const ValueType	factor
	)

inline

Zero a row and set diagonal to scalar.

Definition at line 202 of file matrix_coo.hpp.

Member Data Documentation

template<typename INDT, typename VALT>

MatrixCooVec_ la::MatrixCoo< INDT, VALT >::matrixCooVec_

private

matrix in coordinate format <i,j, values>

Definition at line 461 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

IndexType la::MatrixCoo< INDT, VALT >::nCols_

private

number of columns of matrix

Definition at line 464 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

IndexType la::MatrixCoo< INDT, VALT >::nRows_

private

number of rows of matrix

Definition at line 463 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

bool la::MatrixCoo< INDT, VALT >::sorted_

private

state variable - is matrix sorted?

Definition at line 468 of file matrix_coo.hpp.

template<typename INDT, typename VALT>

unsigned la::MatrixCoo< INDT, VALT >::sortedSize_

private

number of sorted entries

Definition at line 466 of file matrix_coo.hpp.

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

/opt/flow123d/flow123d/src/la/matrix_coo.hpp

Classes

Public Types

Public Member Functions

Private Types

Private Member Functions

Private Attributes

Detailed Description

template<typename INDT, typename VALT> class la::MatrixCoo< INDT, VALT >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename INDT, typename VALT>
class la::MatrixCoo< INDT, VALT >