Stiffness matrix compressed with the agglomerated wavelets. More...

#include <operator.hh>

Inheritance diagram for aglowav2::Operator00< F >:

Classes
struct	Matrix
	Structure to hold one matrix row/column. More...

struct	Pattern
	Structure to hold one run of the sparsity pattern. More...

Public Types
typedef Cmplxtype< concepts::Real >::type	c_type
	Real type of data type. More...

typedef Realtype< concepts::Real >::type	r_type
	Real type of data type. More...

typedef concepts::Real	type
	Type of data, e.g. matrix entries. More...

Public Member Functions
const F *	diag () const
	Returns the diagonal of the stiffness matrix (for preconditioning) More...

virtual const uint	dimX () const
	Returns the size of the image space of the operator (number of rows of the corresponding matrix) More...

virtual const uint	dimY () const
	Returns the size of the source space of the operator (number of columns of the corresponding matrix) More...

uint	maxMemory () const

uint	memory () const
	Returns the memory used by the operator. More...

virtual void	operator() ()
	Application operator without argument. More...

void	operator() (const concepts::Function< F > &fncY, concepts::Function< F > &fncX)
	Application operator. More...

void	operator() (const concepts::Vector< F > &fncY, concepts::Vector< F > &fncX)

virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
	Application operator for complex function `fncY`. More...

virtual void	operator() (const Function< r_type > &fncY, Function< concepts::Real > &fncX)
	Application operator for real function `fncY`. More...

	Operator00 (AglowavBF00< F > &bf, const Haar3d0< F > &spc, const Delta< F > &delta)
	Constructor. More...

void	pattern (std::ostream &os, uint nr) const
	Writes sparsity pattern to str (Matlab format) More...

void	patternL (std::ostream &os, uint nr) const
	Sorts unknowns by level and writes than sparsity pattern to str (Matlab format) More...

virtual void	show_messages ()

const concepts::Space< F > &	spaceX () const
	Returns the image space of the operator. More...

const concepts::Space< F > &	spaceY () const
	Returns the source space of the operator. More...

void	uncompress (std::ostream &os, uint nr) const
	Writes matrix to os in the Matlab sparse matrix format. More...

void	uncompressL (std::ostream &os, uint nr) const
	Sorts unknowns by level and writes than the matrix to os in the Matlab sparse matrix format. More...

	~Operator00 ()
	Destructor. More...

Protected Member Functions
std::ostream &	info (std::ostream &os) const
	Some information about the operator. More...

Protected Attributes
uint	dimX_
	Dimension of image space and the source space. More...

uint	dimY_

Private Member Functions
void	compress_ (uint dim, uint idx, F valbuf[], uint nval, Pattern patbuf[], uint npat)
	Compresses matrix lines. More...

void	dstore_ (concepts::ElementMatrix< F > &A, uint idx, F val, Pattern pat)
	Stores diagonal part in val and diag_. More...

void	lstore_ (concepts::ElementMatrix< F > &A, uint idx, F val, Pattern *pat)
	Stores lower part in val. More...

void	ustore_ (concepts::ElementMatrix< F > &A, uint idx, F *val, Pattern pat)
	Stores upper part in val. More...

Private Attributes
F *	diag_
	Diagonal of the matrix. More...

uint	maxmem_
	Maximal memory used for the construction of the matrix (incl. More...

uint	mem_
	Memory used by the operator. More...

Matrix *	mtx_
	Matrix entries in sparse format. More...

uint	n_
	Dimension of the space. More...

uint	nentry_
	Number of entries in the compressed matrix. More...

const Haar3d0< F > &	spc_
	Source and image space of the operator. More...

Detailed Description

template<class F = concepts::Real>
class aglowav2::Operator00< F >

Stiffness matrix compressed with the agglomerated wavelets.

Parameters

F	Field (Real or Cmplx)

Definition at line 91 of file operator.hh.

Member Typedef Documentation

◆ c_type

typedef Cmplxtype<concepts::Real >::type concepts::Operator< concepts::Real >::c_type

inherited

Real type of data type.

Definition at line 49 of file compositions.hh.

◆ r_type

typedef Realtype<concepts::Real >::type concepts::Operator< concepts::Real >::r_type

inherited

Real type of data type.

Definition at line 47 of file compositions.hh.

◆ type

typedef concepts::Real concepts::Operator< concepts::Real >::type

inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

◆ Operator00()

template<class F = concepts::Real>

aglowav2::Operator00< F >::Operator00	(	AglowavBF00< F > &	bf,
		const Haar3d0< F > &	spc,
		const Delta< F > &	delta
	)

Constructor.

Parameters

bf	Bilinear form
spc	Agglomerated wavelet space
delta	Truncation matrix

◆ ~Operator00()

template<class F = concepts::Real>

aglowav2::Operator00< F >::~Operator00 ( )

Destructor.

Member Function Documentation

◆ compress_()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::compress_	(	uint	dim,
		uint	idx,
		F	valbuf[],
		uint	nval,
		Pattern	patbuf[],
		uint	npat
	)

private

Compresses matrix lines.

◆ diag()

template<class F = concepts::Real>

const F* aglowav2::Operator00< F >::diag ( ) const

inline

Returns the diagonal of the stiffness matrix (for preconditioning)

Definition at line 117 of file operator.hh.

◆ dimX()

virtual const uint concepts::Operator< concepts::Real >::dimX ( ) const

inlinevirtualinherited

Returns the size of the image space of the operator (number of rows of the corresponding matrix)

Definition at line 93 of file compositions.hh.

◆ dimY()

virtual const uint concepts::Operator< concepts::Real >::dimY ( ) const

inlinevirtualinherited

Returns the size of the source space of the operator (number of columns of the corresponding matrix)

Definition at line 98 of file compositions.hh.

◆ dstore_()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::dstore_	(	concepts::ElementMatrix< F > &	A,
		uint	idx,
		F **	val,
		Pattern **	pat
	)

private

Stores diagonal part in val and diag_.

◆ info()

template<class F = concepts::Real>

std::ostream& aglowav2::Operator00< F >::info ( std::ostream & os ) const

protectedvirtual

Some information about the operator.

Reimplemented from concepts::Operator< concepts::Real >.

◆ lstore_()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::lstore_	(	concepts::ElementMatrix< F > &	A,
		uint	idx,
		F *	val,
		Pattern **	pat
	)

private

Stores lower part in val.

◆ maxMemory()

template<class F = concepts::Real>

uint aglowav2::Operator00< F >::maxMemory ( ) const

inline

Definition at line 123 of file operator.hh.

◆ memory()

template<class F = concepts::Real>

uint aglowav2::Operator00< F >::memory ( ) const

inline

Returns the memory used by the operator.

Definition at line 119 of file operator.hh.

◆ operator()() [1/5]

virtual void concepts::Operator< concepts::Real >::operator() ( )

virtualinherited

Application operator without argument.

◆ operator()() [2/5]

template<class F = concepts::Real>

void aglowav2::Operator00< F >::operator()	(	const concepts::Function< F > &	fncY,
		concepts::Function< F > &	fncX
	)

Application operator.

Computes fncX = A(fncY) where A is this operator

◆ operator()() [3/5]

template<class F = concepts::Real>

void aglowav2::Operator00< F >::operator()	(	const concepts::Vector< F > &	fncY,
		concepts::Vector< F > &	fncX
	)

◆ operator()() [4/5]

virtual void concepts::Operator< concepts::Real >::operator()	(	const Function< c_type > &	fncY,
		Function< c_type > &	fncX
	)

virtualinherited

Application operator for complex function fncY.

Computes fncX = A(fncY) where A is this operator. fncX becomes complex.

In derived classes its enough to implement the operator() for complex Operator's. If a real counterpart is not implemented, the function fncY is splitted into real and imaginary part and the application operator for real functions is called for each. Then the result is combined.

If in a derived class the operator() for complex Operator's is not implemented, a exception is thrown from here.

◆ operator()() [5/5]

virtual void concepts::Operator< concepts::Real >::operator()	(	const Function< r_type > &	fncY,
		Function< F > &	fncX
	)

virtualinherited

Application operator for real function fncY.

Computes fncX = A(fncY) where A is this operator.

fncX becomes the type of the operator, for real data it becomes real, for complex data it becomes complex.

In derived classes its enough to implement the operator() for real Operator's. If a complex counterpart is not implemented, the function fncY is transformed to a complex function and then the application operator for complex functions is called.

If in a derived class the operator() for real Operator's is not implemented, a exception is thrown from here.

◆ pattern()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::pattern	(	std::ostream &	os,
		uint	nr
	)		const

Writes sparsity pattern to str (Matlab format)

◆ patternL()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::patternL	(	std::ostream &	os,
		uint	nr
	)		const

Sorts unknowns by level and writes than sparsity pattern to str (Matlab format)

◆ show_messages()

virtual void concepts::Operator< concepts::Real >::show_messages ( )

inlinevirtualinherited

Definition at line 100 of file compositions.hh.

◆ spaceX()

template<class F = concepts::Real>

const concepts::Space<F>& aglowav2::Operator00< F >::spaceX ( ) const

inline

Returns the image space of the operator.

Definition at line 112 of file operator.hh.

◆ spaceY()

template<class F = concepts::Real>

const concepts::Space<F>& aglowav2::Operator00< F >::spaceY ( ) const

inline

Returns the source space of the operator.

Definition at line 114 of file operator.hh.

◆ uncompress()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::uncompress	(	std::ostream &	os,
		uint	nr
	)		const

Writes matrix to os in the Matlab sparse matrix format.

◆ uncompressL()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::uncompressL	(	std::ostream &	os,
		uint	nr
	)		const

Sorts unknowns by level and writes than the matrix to os in the Matlab sparse matrix format.

◆ ustore_()

template<class F = concepts::Real>

void aglowav2::Operator00< F >::ustore_	(	concepts::ElementMatrix< F > &	A,
		uint	idx,
		F **	val,
		Pattern *	pat
	)

private

Stores upper part in val.

Member Data Documentation

◆ diag_

template<class F = concepts::Real>

F* aglowav2::Operator00< F >::diag_

private

Diagonal of the matrix.

Definition at line 193 of file operator.hh.

◆ dimX_

uint concepts::Operator< concepts::Real >::dimX_

protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

◆ dimY_

uint concepts::Operator< concepts::Real >::dimY_

protectedinherited

Definition at line 104 of file compositions.hh.

◆ maxmem_

template<class F = concepts::Real>

uint aglowav2::Operator00< F >::maxmem_

private

Maximal memory used for the construction of the matrix (incl.

bilinear form)

Definition at line 188 of file operator.hh.

◆ mem_

template<class F = concepts::Real>

uint aglowav2::Operator00< F >::mem_

private

Memory used by the operator.

Definition at line 184 of file operator.hh.

◆ mtx_

template<class F = concepts::Real>

Matrix* aglowav2::Operator00< F >::mtx_

private

Matrix entries in sparse format.

Definition at line 181 of file operator.hh.

◆ n_

template<class F = concepts::Real>

uint aglowav2::Operator00< F >::n_

private

Dimension of the space.

Definition at line 179 of file operator.hh.

◆ nentry_

template<class F = concepts::Real>

uint aglowav2::Operator00< F >::nentry_

private

Number of entries in the compressed matrix.

Definition at line 190 of file operator.hh.

◆ spc_

template<class F = concepts::Real>

const Haar3d0<F>& aglowav2::Operator00< F >::spc_

private

Source and image space of the operator.

Definition at line 177 of file operator.hh.

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

aglowav2/operator.hh

aglowav2::Operator00< F > Class Template Reference

Classes

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

template<class F = concepts::Real> class aglowav2::Operator00< F >

Member Typedef Documentation

◆ c_type

◆ r_type

◆ type

Constructor & Destructor Documentation

◆ Operator00()

◆ ~Operator00()

Member Function Documentation

◆ compress_()

◆ diag()

◆ dimX()

◆ dimY()

◆ dstore_()

◆ info()

◆ lstore_()

◆ maxMemory()

◆ memory()

◆ operator()() [1/5]

◆ operator()() [2/5]

◆ operator()() [3/5]

◆ operator()() [4/5]

◆ operator()() [5/5]

◆ pattern()

◆ patternL()

◆ show_messages()

◆ spaceX()

◆ spaceY()

◆ uncompress()

◆ uncompressL()

◆ ustore_()

Member Data Documentation

◆ diag_

◆ dimX_

◆ dimY_

◆ maxmem_

◆ mem_

◆ mtx_

◆ n_

◆ nentry_

◆ spc_

template<class F = concepts::Real>
class aglowav2::Operator00< F >