A class for compressed column matrices that store doubles. More...

#include <complex_matrices.h>

Inheritance diagram for oomph::CCComplexMatrix:

Public Member Functions
	CCComplexMatrix ()
	Default constructor. More...

	CCComplexMatrix (const Vector< std::complex< double > > &value, const Vector< int > &row_index, const Vector< int > &column_start, const unsigned long &n, const unsigned long &m)
	Constructor: Pass vector of values, vector of row indices, vector of column starts and number of rows (can be suppressed for square matrices). Number of nonzero entries is read off from value, so make sure the vector has been shrunk to its correct length. More...

	CCComplexMatrix (const CCComplexMatrix &matrix)
	Broken copy constructor. More...

void	operator= (const CCComplexMatrix &)
	Broken assignment operator. More...

virtual	~CCComplexMatrix ()
	Destructor: Kill the LU factors if they have been setup. More...

void	enable_doc_stats ()
	Set flag to indicate that stats are to be displayed during solution of linear system with SuperLU. More...

void	disable_doc_stats ()
	the solve More...

unsigned long	nrow () const
	Return the number of rows of the matrix. More...

unsigned long	ncol () const
	Return the number of columns of the matrix. More...

std::complex< double >	operator() (const unsigned long &i, const unsigned long &j) const
	Overload the round-bracket access operator to provide read-only (const) access to the data. More...

int	ludecompose ()
	LU decomposition using SuperLU. More...

void	lubksub (Vector< std::complex< double > > &rhs)
	LU back solve for given RHS. More...

void	clean_up_memory ()
	LU clean up (perhaps this should happen in the destructor) More...

void	residual (const Vector< std::complex< double > > &x, const Vector< std::complex< double > > &b, Vector< std::complex< double > > &residual)
	Find the residulal to x of Ax=b, ie r=b-Ax. More...

void	multiply (const Vector< std::complex< double > > &x, Vector< std::complex< double > > &soln)
	Multiply the matrix by the vector x: soln=Ax. More...

void	multiply_transpose (const Vector< std::complex< double > > &x, Vector< std::complex< double > > &soln)
	Multiply the transposed matrix by the vector x: soln=A^T x. More...

Public Member Functions inherited from oomph::ComplexMatrixBase
	ComplexMatrixBase ()
	(Empty) constructor. More...

	ComplexMatrixBase (const ComplexMatrixBase &matrix)
	Broken copy constructor. More...

void	operator= (const ComplexMatrixBase &)
	Broken assignment operator. More...

virtual	~ComplexMatrixBase ()
	virtual (empty) destructor More...

virtual void	solve (Vector< std::complex< double > > &rhs)
	Complete LU solve (replaces matrix by its LU decomposition and overwrites RHS with solution). The default should not need to be over-written. More...

virtual void	solve (const Vector< std::complex< double > > &rhs, Vector< std::complex< double > > &soln)
	Complete LU solve (Nothing gets overwritten!). The default should not need to be overwritten. More...

virtual double	max_residual (const Vector< std::complex< double > > &x, const Vector< std::complex< double > > &rhs)
	Find the maximum residual r=b-Ax – generic version, can be overloaded for specific derived classes where the max. can be determined "on the fly". More...

Public Member Functions inherited from oomph::CCMatrix< std::complex< double > >
	CCMatrix ()
	Default constructor. More...

	CCMatrix (const Vector< std::complex< double > > &value, const Vector< int > &row_index_, const Vector< int > &column_start_, const unsigned long &n, const unsigned long &m)
	Constructor: Pass vector of values, vector of row indices, vector of column starts and number of rows (can be suppressed for square matrices). Number of nonzero entries is read off from value, so make sure the vector has been shrunk to its correct length. More...

	CCMatrix (const CCMatrix &source_matrix)
	Copy constructor. More...

void	operator= (const CCMatrix &)
	Broken assignment operator. More...

virtual	~CCMatrix ()
	Destructor, delete any allocated memory. More...

std::complex< double >	get_entry (const unsigned long &i, const unsigned long &j) const
	Access function that will be called by the read-only round-bracket operator (const) More...

std::complex< double > &	entry (const unsigned long &i, const unsigned long &j)

int *	column_start ()
	Access to C-style column_start array. More...

const int *	column_start () const
	Access to C-style column_start array (const version) More...

int *	row_index ()
	Access to C-style row index array. More...

const int *	row_index () const
	Access to C-style row index array (const version) More...

void	output_bottom_right_zero_helper (std::ostream &outfile) const
	Output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More...

void	sparse_indexed_output_helper (std::ostream &outfile) const
	Indexed output function to print a matrix to the stream outfile as i,j,a(i,j) for a(i,j)!=0 only. More...

void	clean_up_memory ()
	Wipe matrix data and set all values to 0. More...

void	build (const Vector< std::complex< double > > &value, const Vector< int > &row_index, const Vector< int > &column_start, const unsigned long &n, const unsigned long &m)
	Build matrix from compressed representation. Number of nonzero entries is read off from value, so make sure the vector has been shrunk to its correct length. More...

void	build_without_copy (std::complex< double > value, int row_index, int *column_start, const unsigned long &nnz, const unsigned long &n, const unsigned long &m)
	Function to build matrix from pointers to arrays which hold the column starts, row indices and non-zero values. The final parameters specifies the number of rows and columns. Note that, as the name suggests, this function does not make a copy of the data pointed to by the first three arguments! More...

Public Member Functions inherited from oomph::SparseMatrix< std::complex< double >, CCMatrix< std::complex< double > > >
	SparseMatrix ()
	Default constructor. More...

	SparseMatrix (const SparseMatrix &source_matrix)
	Copy constructor. More...

void	operator= (const SparseMatrix &)
	Broken assignment operator. More...

virtual	~SparseMatrix ()
	Destructor, delete the memory associated with the values. More...

std::complex< double > *	value ()
	Access to C-style value array. More...

const std::complex< double > *	value () const
	Access to C-style value array (const version) More...

unsigned long	nrow () const
	Return the number of rows of the matrix. More...

unsigned long	ncol () const
	Return the number of columns of the matrix. More...

unsigned long	nnz () const
	Return the number of nonzero entries. More...

Public Member Functions inherited from oomph::Matrix< std::complex< double >, CCMatrix< std::complex< double > > >
	Matrix ()
	(Empty) constructor More...

	Matrix (const Matrix &matrix)
	Broken copy constructor. More...

void	operator= (const Matrix &)
	Broken assignment operator. More...

virtual	~Matrix ()
	Virtual (empty) destructor. More...

std::complex< double >	operator() (const unsigned long &i, const unsigned long &j) const
	Round brackets to give access as a(i,j) for read only (we're not providing a general interface for component-wise write access since not all matrix formats allow efficient direct access!) The function uses the MATRIX_TYPE template parameter to call the get_entry() function which must be defined in all derived classes that are to be fully instantiated. More...

std::complex< double > &	operator() (const unsigned long &i, const unsigned long &j)
	Round brackets to give access as a(i,j) for read-write access. The function uses the MATRIX_TYPE template parameter to call the entry() function which must be defined in all derived classes that are to be fully instantiated. If the particular Matrix does not allow write access, the function should break with an error message. More...

virtual void	output (std::ostream &outfile) const
	Output function to print a matrix row-by-row, in the form a(0,0) a(0,1) ... a(1,0) a(1,1) ... ... to the stream outfile. Broken virtual since it might not be sensible to implement this for some sparse matrices. More...

void	sparse_indexed_output (std::ostream &outfile, const unsigned &precision=0, const bool &output_bottom_right_zero=false) const
	Indexed output function to print a matrix to the stream outfile as i,j,a(i,j) for a(i,j)!=0 only with specified precision (if precision=0 then nothing is changed). If optional boolean flag is set to true we also output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More...

void	sparse_indexed_output (std::string filename, const unsigned &precision=0, const bool &output_bottom_right_zero=false) const
	Indexed output function to print a matrix to the file named filename as i,j,a(i,j) for a(i,j)!=0 only with specified precision. If optional boolean flag is set to true we also output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More...

Protected Attributes
bool	Doc_stats_during_solve
	Flag to indicate if stats are to be displayed during solution of linear system with SuperLU. More...

Protected Attributes inherited from oomph::CCMatrix< std::complex< double > >
int *	Row_index
	Row index. More...

int *	Column_start
	Start index for column. More...

Protected Attributes inherited from oomph::SparseMatrix< std::complex< double >, CCMatrix< std::complex< double > > >
std::complex< double > *	Value
	Internal representation of the matrix values, a pointer. More...

unsigned long	N
	Number of rows. More...

unsigned long	M
	Number of columns. More...

unsigned long	Nnz
	Number of non-zero values (i.e. size of Value array) More...

Private Attributes
void *	F_factors
	Storage for the LU factors as required by SuperLU. More...

int	Info
	Info flag for the SuperLU solver. More...

Additional Inherited Members
Protected Member Functions inherited from oomph::Matrix< std::complex< double >, CCMatrix< std::complex< double > > >
void	range_check (const unsigned long &i, const unsigned long &j) const
	Range check to catch when an index is out of bounds, if so, it issues a warning message and dies by throwing an `OomphLibError`. More...

Static Protected Attributes inherited from oomph::SparseMatrix< std::complex< double >, CCMatrix< std::complex< double > > >
static std::complex< double >	Zero
	Dummy zero. More...

Detailed Description

A class for compressed column matrices that store doubles.

Definition at line 452 of file complex_matrices.h.

Constructor & Destructor Documentation

◆ CCComplexMatrix() [1/3]

oomph::CCComplexMatrix::CCComplexMatrix ( )

inline

Default constructor.

Definition at line 472 of file complex_matrices.h.

◆ CCComplexMatrix() [2/3]

oomph::CCComplexMatrix::CCComplexMatrix	(	const Vector< std::complex< double > > &	value,
		const Vector< int > &	row_index,
		const Vector< int > &	column_start,
		const unsigned long &	n,
		const unsigned long &	m
	)

inline

Constructor: Pass vector of values, vector of row indices, vector of column starts and number of rows (can be suppressed for square matrices). Number of nonzero entries is read off from value, so make sure the vector has been shrunk to its correct length.

Definition at line 483 of file complex_matrices.h.

◆ CCComplexMatrix() [3/3]

oomph::CCComplexMatrix::CCComplexMatrix ( const CCComplexMatrix & matrix )

inline

Broken copy constructor.

Definition at line 496 of file complex_matrices.h.

References oomph::BrokenCopy::broken_copy().

◆ ~CCComplexMatrix()

virtual oomph::CCComplexMatrix::~CCComplexMatrix ( )

inlinevirtual

Destructor: Kill the LU factors if they have been setup.

Definition at line 508 of file complex_matrices.h.

Member Function Documentation

◆ clean_up_memory()

void oomph::CCComplexMatrix::clean_up_memory ( )

LU clean up (perhaps this should happen in the destructor)

Cleanup storage.

Definition at line 885 of file complex_matrices.cc.

References oomph::LeakCheckNames::doc(), i, oomph::QuadTreeNames::N, and oomph::superlu_complex().

◆ disable_doc_stats()

void oomph::CCComplexMatrix::disable_doc_stats ( )

inline

the solve

Definition at line 516 of file complex_matrices.h.

◆ enable_doc_stats()

void oomph::CCComplexMatrix::enable_doc_stats ( )

inline

Set flag to indicate that stats are to be displayed during solution of linear system with SuperLU.

Definition at line 512 of file complex_matrices.h.

◆ lubksub()

void oomph::CCComplexMatrix::lubksub ( Vector< std::complex< double > > & rhs )

virtual

LU back solve for given RHS.

Do the backsubstitution.

RHS vector

Reimplemented from oomph::ComplexMatrixBase.

Definition at line 813 of file complex_matrices.cc.

References oomph::LeakCheckNames::doc(), i, oomph::QuadTreeNames::N, and oomph::superlu_complex().

◆ ludecompose()

int oomph::CCComplexMatrix::ludecompose ( )

virtual

LU decomposition using SuperLU.

Perform LU decomposition. Return the sign of the determinant.

Reimplemented from oomph::ComplexMatrixBase.

Definition at line 767 of file complex_matrices.cc.

References oomph::LeakCheckNames::doc(), i, oomph::QuadTreeNames::N, and oomph::superlu_complex().

◆ multiply()

void oomph::CCComplexMatrix::multiply	(	const Vector< std::complex< double > > &	x,
		Vector< std::complex< double > > &	soln
	)

virtual

Multiply the matrix by the vector x: soln=Ax.

Multiply the matrix by the vector x.

Implements oomph::ComplexMatrixBase.

Definition at line 982 of file complex_matrices.cc.

References i, and oomph::QuadTreeNames::N.

◆ multiply_transpose()

void oomph::CCComplexMatrix::multiply_transpose	(	const Vector< std::complex< double > > &	x,
		Vector< std::complex< double > > &	soln
	)

virtual

Multiply the transposed matrix by the vector x: soln=A^T x.

Implements oomph::ComplexMatrixBase.

Definition at line 1028 of file complex_matrices.cc.

References i, and oomph::QuadTreeNames::N.

◆ ncol()

unsigned long oomph::CCComplexMatrix::ncol ( ) const

inlinevirtual

Return the number of columns of the matrix.

Implements oomph::ComplexMatrixBase.

Definition at line 523 of file complex_matrices.h.

References oomph::ComplexMatrixBase::ncol().

◆ nrow()

unsigned long oomph::CCComplexMatrix::nrow ( ) const

inlinevirtual

Return the number of rows of the matrix.

Implements oomph::ComplexMatrixBase.

Definition at line 519 of file complex_matrices.h.

References oomph::ComplexMatrixBase::nrow().

◆ operator()()

std::complex<double> oomph::CCComplexMatrix::operator()	(	const unsigned long &	i,
		const unsigned long &	j
	)		const

inlinevirtual

Overload the round-bracket access operator to provide read-only (const) access to the data.

Implements oomph::ComplexMatrixBase.

Definition at line 528 of file complex_matrices.h.

References oomph::ComplexMatrixBase::lubksub(), oomph::ComplexMatrixBase::ludecompose(), oomph::ComplexMatrixBase::multiply(), oomph::ComplexMatrixBase::multiply_transpose(), and oomph::ComplexMatrixBase::residual().

◆ operator=()

void oomph::CCComplexMatrix::operator= ( const CCComplexMatrix & )

inline

Broken assignment operator.

Definition at line 502 of file complex_matrices.h.

References oomph::BrokenCopy::broken_assign().

◆ residual()

void oomph::CCComplexMatrix::residual	(	const Vector< std::complex< double > > &	x,
		const Vector< std::complex< double > > &	b,
		Vector< std::complex< double > > &	residual
	)

virtual

Find the residulal to x of Ax=b, ie r=b-Ax.

Work out residual vector r = b-Ax for candidate solution x.

Implements oomph::ComplexMatrixBase.

Definition at line 917 of file complex_matrices.cc.

References i, oomph::QuadTreeNames::N, and oomph::ComplexMatrixBase::residual().

Member Data Documentation

◆ Doc_stats_during_solve

bool oomph::CCComplexMatrix::Doc_stats_during_solve

protected

Flag to indicate if stats are to be displayed during solution of linear system with SuperLU.

Definition at line 467 of file complex_matrices.h.

◆ F_factors

void* oomph::CCComplexMatrix::F_factors

private

Storage for the LU factors as required by SuperLU.

Definition at line 458 of file complex_matrices.h.

◆ Info

int oomph::CCComplexMatrix::Info

private

Info flag for the SuperLU solver.

Definition at line 461 of file complex_matrices.h.

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

Public Member Functions

Protected Attributes

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ CCComplexMatrix() [1/3]

◆ CCComplexMatrix() [2/3]

◆ CCComplexMatrix() [3/3]

◆ ~CCComplexMatrix()

Member Function Documentation

◆ clean_up_memory()

◆ disable_doc_stats()

◆ enable_doc_stats()

◆ lubksub()

◆ ludecompose()

◆ multiply()

◆ multiply_transpose()

◆ ncol()

◆ nrow()

◆ operator()()

◆ operator=()

◆ residual()

Member Data Documentation

◆ Doc_stats_during_solve

◆ F_factors

◆ Info