Represent a dense matrix.

#include <TDenseMatrix.hh>

Inheritance diagram for TDenseMatrix:

Public Member Functions
	TDenseMatrix ()
	construct zero sized matrix

	TDenseMatrix (const size_t n, const size_t m, const value_type_t avalue_type=real_valued)
	construct matrix of size n × m

	TDenseMatrix (const size_t n, const size_t m, const bool acomplex)
	construct matrix of size n × m

	TDenseMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, const value_type_t avalue_type=real_valued)
	construct matrix with size defined by arow_is × acol_is

	TDenseMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, const bool acomplex)
	construct matrix with size defined by arow_is × acol_is

	TDenseMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, const BLAS::Matrix< real > &M)

	TDenseMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, const BLAS::Matrix< complex > &M)

	TDenseMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, BLAS::Matrix< real > &&M)

	TDenseMatrix (const TIndexSet &arow_is, const TIndexSet &acol_is, BLAS::Matrix< complex > &&M)

	TDenseMatrix (const TDenseMatrix &mat)
	copy constructor

	TDenseMatrix (const TBlockCluster *bct, const value_type_t avalue_type=real_valued)
	construct matrix with size defined by block cluster

virtual	~TDenseMatrix ()
	destructor

virtual size_t	rows () const
	return number of rows

virtual size_t	cols () const
	return number of columns

void	set_size (const size_t n, const size_t m)
	set size of matrix to n × m

virtual void	set_cluster (const TBlockCluster *c)
	set size as defined by block cluster c

virtual bool	is_dense () const
	return true, if matrix is dense

BLAS::Matrix< real > &	blas_rmat ()
	return real valued matrix

const BLAS::Matrix< real > &	blas_rmat () const
	return constant real valued matrix

BLAS::Matrix< complex > &	blas_cmat ()
	return complex valued matrix

const BLAS::Matrix< complex > &	blas_cmat () const
	return constant complex valued matrix

const TScalarVector	row (const idx_t i) const
	return row i as vector object

const TScalarVector	column (const idx_t i) const
	return column i as vector object

const BLAS::Vector< real >	blas_rrow (const idx_t i) const
	return row i as BLAS vector (real value)

const BLAS::Vector< real >	blas_rcol (const idx_t i) const
	return column i as BLAS vector (real value)

const BLAS::Vector< complex >	blas_crow (const idx_t i) const
	return row i as BLAS vector (complex value)

const BLAS::Vector< complex >	blas_ccol (const idx_t i) const
	return column i as BLAS vector (complex value)

real *	entry_ptr (const idx_t i, const idx_t j)
	return pointer to data starting at coefficient (i, j) (real valued)

complex *	centry_ptr (const idx_t i, const idx_t j)
	return pointer to data starting at coefficient (i, j) (real valued)

virtual void	to_real ()
	convert to real valued representation if possible

virtual void	to_complex ()
	convert to complex valued representation if possible

real	entry (const idx_t i, const idx_t j) const
	return coefficient (i, j) (real valued)

const complex	centry (const idx_t i, const idx_t j) const
	return coefficient (i, j) (complex valued)

void	set_entry (const idx_t i, const idx_t j, const real f)
	set coefficient (i, j) to f (real valued)

void	set_centry (const idx_t i, const idx_t j, const complex f)
	set coefficient (i, j) to f (complex valued)

void	add_entry (const idx_t i, const idx_t j, const real f)
	add f to coefficient (i, j) (real valued)

void	add_centry (const idx_t i, const idx_t j, const complex f)
	add f to coefficient (i, j) (complex valued)

virtual void	scale (const real f)
	compute this ≔ α·this

virtual void	mul_vec (const real alpha, const TVector x, const real beta, TVector y, const matop_t op=MATOP_NORM) const
	compute y ≔ α·op(this)·x + β·y

virtual void	add (const real alpha, const TMatrix *A)
	compute this = this + α·A without truncation

virtual TMatrix *	mul_right (const real alpha, const TMatrix *B, const matop_t op_A, const matop_t op_B) const
	compute matrix product α·op_A(this)·op_B(B)

virtual TMatrix *	mul_left (const real alpha, const TMatrix *A, const matop_t op_A, const matop_t op_B) const
	compute matrix product α·op_A(A)·op_B(this)

void	add_block (const real alpha, const real beta, const TDenseMatrix *M, const matop_t op=MATOP_NORM)
	compute α·this + β·op(M), where op(M) is subblock of this or this a subblock of op(M))

virtual void	cscale (const complex f)
	compute this ≔ α·this

virtual void	cmul_vec (const complex alpha, const TVector x, const complex beta, TVector y, const matop_t op_A=MATOP_NORM) const
	compute y ≔ α·op(this)·x + β·y

virtual void	cadd (const complex alpha, const TMatrix *A)
	compute this = this + α·A without truncation

virtual TMatrix *	cmul_right (const complex alpha, const TMatrix *B, const matop_t op_A, const matop_t op_B) const
	compute matrix product α·op_A(this)·op_B(B)

virtual TMatrix *	cmul_left (const complex alpha, const TMatrix *A, const matop_t op_A, const matop_t op_B) const
	compute matrix product α·op_A(A)·op_B(this)

void	add_block (const complex alpha, const complex beta, const TDenseMatrix *M, const matop_t op=MATOP_NORM)
	compute α·this + β·op(M), where op(M) is subblock of this or this a subblock of op(M))

virtual void	transpose ()
	transpose matrix

virtual void	conjugate ()
	conjugate matrix coefficients

virtual void	truncate (const TTruncAcc &)
	truncate matrix to given accuracy: nothing to be done

TDenseMatrix &	operator= (const TDenseMatrix &mat)
	copy operator

virtual auto	create () const -> std::unique_ptr< TMatrix >
	return matrix object of same class as this

virtual auto	copy () const -> std::unique_ptr< TMatrix >
	return copy of matrix

virtual void	copy_to (TMatrix *A) const
	copy matrix into A

void	permute (const TPermutation row_perm, const TPermutation col_perm)

virtual size_t	byte_size () const
	return size in bytes used by this object

virtual void	read (TByteStream &s)
	read matrix from byte stream

virtual void	build (TByteStream &s)
	construct matrix based on data in byte stream

virtual void	write (TByteStream &s) const
	write matrix to byte stream

virtual size_t	bs_size () const
	returns size of object in bytestream

virtual void	check_data () const
	test data for invalid values, e.g. INF and NAN

Public Member Functions inherited from TMatrix
	TMatrix (const value_type_t avalue_type=real_valued)
	construct zero sized matrix

	TMatrix (const TBlockCluster *bcl, const value_type_t avalue_type=real_valued)
	construct matrix of size defined by block cluster bcl

	TMatrix (const TBlockIndexSet &bis, const value_type_t avalue_type=real_valued)
	construct matrix of size defined by block index set bis

	TMatrix (const TMatrix &A)
	copy constructor

virtual	~TMatrix ()
	dtor

int	id () const
	return ID

void	set_id (const int aid)
	set ID

TIndexSet	row_is () const
	return row index set

TIndexSet	col_is () const
	return column index set

TBlockIndexSet	block_is () const
	return block index set

TIndexSet	row_is (const matop_t op) const
	return row index set w.r.t. given matrix operation

TIndexSet	col_is (const matop_t op) const
	return row index set w.r.t. given matrix operation

TBlockIndexSet	block_is (const matop_t op) const
	return row index set w.r.t. given matrix operation

virtual idx_t	row_ofs () const
	return first index (number) in row

virtual idx_t	col_ofs () const
	return first index (number) in column

virtual void	set_ofs (const idx_t r, const idx_t c)
	set index set offsets

virtual void	set_block_is (const TBlockIndexSet &is)
	set block index set of matrix

bool	is_nonsym () const
	return true if matrix is unsymmetric

bool	is_symmetric () const
	return true if matrix is symmetric

bool	is_hermitian () const
	return true if matrix is hermitian

matform_t	form () const
	return matrix format

void	set_nonsym ()
	set matrix to be unsymmetric

void	set_symmetric ()
	set matrix to be symmetric

void	set_hermitian ()
	set matrix to be hermitian

virtual void	set_form (const matform_t f)
	set matrix format

virtual bool	is_zero () const
	return true, if matrix is zero

virtual bool	is_blocked () const
	return true, if matrix is blocked

virtual bool	is_self_adjoint () const
	return true, if operator is self adjoint

const TProcSet &	procs () const
	return matrix processor set

uint	nprocs () const
	return number of processors in local set

virtual void	set_procs (const TProcSet &ps, const bool recursive=false)
	set processor set of matrix

virtual void	copy_struct (const TMatrix *M)

value_type_t	value_type () const
	return value type of matrix

void	set_value_type (const value_type_t vt)
	set value type of matrix

bool	is_real () const
	return true if matrix is real valued

bool	is_complex () const
	return true if matrix is complex valued

void	set_complex (const bool b, const bool force=false)

const TBlockCluster *	cluster () const
	return corresponding block cluster of matrix

virtual void	apply (const TVector x, TVector y, const matop_t op) const

virtual void	apply_add (const real alpha, const TVector x, TVector y, const matop_t op) const

virtual auto	domain_vector () const -> std::unique_ptr< TVector >
	return vector in domain space

virtual auto	range_vector () const -> std::unique_ptr< TVector >
	return vector in range space

virtual size_t	global_byte_size () const

virtual auto	copy (const TTruncAcc &acc, const bool coarsen=false) const -> std::unique_ptr< TMatrix >
	return copy of matrix with accuracy acc and optional coarsening

virtual void	copy_to (TMatrix *A, const TTruncAcc &acc, const bool coarsen=false) const
	copy matrix into matrix A with accuracy acc and optional coarsening

virtual auto	row_vector () const -> std::unique_ptr< TVector >
	return appropriate row vector object for matrix

virtual auto	col_vector () const -> std::unique_ptr< TVector >
	return appropriate column vector object for matrix

virtual void	sum (const TProcSet &p, const uint pid, const uint nparts, TByteStream *bs, const TTruncAcc &acc)

virtual void	print (const uint ofs=0) const
	print basic info about matrix to stdout

Public Member Functions inherited from TTypeInfo
virtual typeid_t	type () const =0
	return type ID of object

virtual bool	is_type (const typeid_t t) const
	return true if local object is of given type ID t

virtual std::string	typestr () const
	return string representation of type

Public Member Functions inherited from TLockable
TMutex &	mutex ()
	give access to internal mutex

void	lock ()
	lock local mutex

void	unlock ()
	unlock local mutex

size_t	byte_size () const
	return size in bytes used by this object

Constructor & Destructor Documentation

TDenseMatrix	(	const TIndexSet &	arow_is,
		const TIndexSet &	acol_is,
		const BLAS::Matrix< real > &	M
	)

inline

construct matrix with size defined by arow_is × acol_is and data given by M (real valued)

TDenseMatrix	(	const TIndexSet &	arow_is,
		const TIndexSet &	acol_is,
		const BLAS::Matrix< complex > &	M
	)

inline

construct matrix with size defined by arow_is × acol_is and data given by M (real valued)

TDenseMatrix	(	const TIndexSet &	arow_is,
		const TIndexSet &	acol_is,
		BLAS::Matrix< real > &&	M
	)

inline

construct matrix with size defined by arow_is × acol_is and move data from M (real valued)

TDenseMatrix	(	const TIndexSet &	arow_is,
		const TIndexSet &	acol_is,
		BLAS::Matrix< complex > &&	M
	)

inline

construct matrix with size defined by arow_is × acol_is and move data from M (complex valued)

Member Function Documentation

void permute	(	const TPermutation *	row_perm,
		const TPermutation *	col_perm
	)

permute rows/columns in matrix according to row_pern and col_perm

nullptr is treated as identity

Public Member Functions

Constructor & Destructor Documentation

Member Function Documentation