Cluster approximation of the stiffness matrix. More...

#include <operator02.hh>

Inheritance diagram for cluster::Operator02< NodeX, NodeY >:

Public Types
typedef Cmplxtype< TreeTraits< NodeX >::F >::type	c_type
	Real type of data type. More...

typedef Realtype< TreeTraits< NodeX >::F >::type	r_type
	Real type of data type. More...

typedef TreeTraits< NodeX >::F	type
	Type of data, e.g. matrix entries. More...

Public Member Functions
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...

float	memory () const
	Memory usage in byte. More...

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

void	operator() (const concepts::Function< FY > &fncY, concepts::Function< FX > &fncX)

void	operator() (const concepts::Vector< FY > &fncY, concepts::Vector< FX > &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< TreeTraits< NodeX >::F > &fncX)
	Application operator for real function `fncY`. More...

	Operator02 (concepts::BilinearForm< FX > &bf, ClstF< NodeX, NodeY > &F, ClstX< NodeX > &X, ClstY< NodeY > &Y)
	Constructor. More...

virtual void	show_messages ()

const concepts::Space< FX > &	spaceX () const

const concepts::Space< FY > &	spaceY () const

Protected Member Functions
std::ostream &	info (std::ostream &os) const

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

uint	dimY_

Private Types
typedef TraitsX::F	FX

typedef TraitsY::F	FY

typedef TreeTraits< NodeX >	TraitsX
	Interface for the operator. More...

typedef TreeTraits< NodeY >	TraitsY

Private Member Functions
void	constructor_ (const concepts::Element< FX > elmX, const NodeY Y)

void	constructor_ (const NodeX X, const NodeY Y)
	Constructors for recursive calls. More...

Private Attributes
concepts::ElementMatrix< FX >	A_
	Element matrices to compute the near field matrix. More...

concepts::ElementMatrix< FX >	B_

concepts::BilinearForm< FX > &	bf_
	Bilinear form. More...

ClstF< NodeX, NodeY > &	F_
	Far field matrix F. More...

concepts::SparseMatrix< FX >	N_
	Near field matrix. More...

ClstX< NodeX > &	X_
	Far field matrix X. More...

ClstY< NodeY > &	Y_
	Far field matrix Y. More...

Detailed Description

template<class NodeX, class NodeY>
class cluster::Operator02< NodeX, NodeY >

Cluster approximation of the stiffness matrix.

Parameters

NodeX	Node of a cluster tree
NodeY	Node of a cluster tree

Definition at line 24 of file operator02.hh.

Member Typedef Documentation

◆ c_type

typedef Cmplxtype<TreeTraits< NodeX >::F >::type concepts::Operator< TreeTraits< NodeX >::F >::c_type

inherited

Real type of data type.

Definition at line 49 of file compositions.hh.

◆ FX

template<class NodeX , class NodeY >

typedef TraitsX::F cluster::Operator02< NodeX, NodeY >::FX

private

Definition at line 28 of file operator02.hh.

◆ FY

template<class NodeX , class NodeY >

typedef TraitsY::F cluster::Operator02< NodeX, NodeY >::FY

private

Definition at line 29 of file operator02.hh.

◆ r_type

typedef Realtype<TreeTraits< NodeX >::F >::type concepts::Operator< TreeTraits< NodeX >::F >::r_type

inherited

Real type of data type.

Definition at line 47 of file compositions.hh.

◆ TraitsX

template<class NodeX , class NodeY >

typedef TreeTraits<NodeX> cluster::Operator02< NodeX, NodeY >::TraitsX

private

Interface for the operator.

Definition at line 26 of file operator02.hh.

◆ TraitsY

template<class NodeX , class NodeY >

typedef TreeTraits<NodeY> cluster::Operator02< NodeX, NodeY >::TraitsY

private

Definition at line 27 of file operator02.hh.

◆ type

typedef TreeTraits< NodeX >::F concepts::Operator< TreeTraits< NodeX >::F >::type

inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

◆ Operator02()

template<class NodeX , class NodeY >

cluster::Operator02< NodeX, NodeY >::Operator02	(	concepts::BilinearForm< FX > &	bf,
		ClstF< NodeX, NodeY > &	F,
		ClstX< NodeX > &	X,
		ClstY< NodeY > &	Y
	)

Constructor.

Parameters

bf	Bilinear form to compute the near field entries
F	Far field approximation F
X	Far field approximation X
Y	Far field approximation Y

Member Function Documentation

◆ constructor_() [1/2]

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::constructor_	(	const concepts::Element< FX > *	elmX,
		const NodeY *	Y
	)

private

◆ constructor_() [2/2]

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::constructor_	(	const NodeX *	X,
		const NodeY *	Y
	)

private

Constructors for recursive calls.

◆ dimX()

virtual const uint concepts::Operator< TreeTraits< NodeX >::F >::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< TreeTraits< NodeX >::F >::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.

◆ info()

template<class NodeX , class NodeY >

std::ostream& cluster::Operator02< NodeX, NodeY >::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::Operator< TreeTraits< NodeX >::F >.

◆ memory()

template<class NodeX , class NodeY >

float cluster::Operator02< NodeX, NodeY >::memory

inline

Memory usage in byte.

Definition at line 75 of file operator02.hh.

◆ operator()() [1/5]

virtual void concepts::Operator< TreeTraits< NodeX >::F >::operator() ( )

virtualinherited

Application operator without argument.

◆ operator()() [2/5]

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::operator()	(	const concepts::Function< FY > &	fncY,
		concepts::Function< FX > &	fncX
	)

Exceptions

MissingFeature

◆ operator()() [3/5]

template<class NodeX , class NodeY >

void cluster::Operator02< NodeX, NodeY >::operator()	(	const concepts::Vector< FY > &	fncY,
		concepts::Vector< FX > &	fncX
	)

◆ operator()() [4/5]

virtual void concepts::Operator< TreeTraits< NodeX >::F >::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< TreeTraits< NodeX >::F >::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.

◆ show_messages()

virtual void concepts::Operator< TreeTraits< NodeX >::F >::show_messages ( )

inlinevirtualinherited

Definition at line 100 of file compositions.hh.

◆ spaceX()

template<class NodeX , class NodeY >

const concepts::Space<FX>& cluster::Operator02< NodeX, NodeY >::spaceX ( ) const

inline

Definition at line 70 of file operator02.hh.

◆ spaceY()

template<class NodeX , class NodeY >

const concepts::Space<FY>& cluster::Operator02< NodeX, NodeY >::spaceY ( ) const

inline

Definition at line 71 of file operator02.hh.

Member Data Documentation

◆ A_

template<class NodeX , class NodeY >

concepts::ElementMatrix<FX> cluster::Operator02< NodeX, NodeY >::A_

private

Element matrices to compute the near field matrix.

Definition at line 43 of file operator02.hh.

◆ B_

template<class NodeX , class NodeY >

concepts::ElementMatrix<FX> cluster::Operator02< NodeX, NodeY >::B_

private

Definition at line 44 of file operator02.hh.

◆ bf_

template<class NodeX , class NodeY >

concepts::BilinearForm<FX>& cluster::Operator02< NodeX, NodeY >::bf_

private

Bilinear form.

Definition at line 32 of file operator02.hh.

◆ dimX_

uint concepts::Operator< TreeTraits< NodeX >::F >::dimX_

protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

◆ dimY_

uint concepts::Operator< TreeTraits< NodeX >::F >::dimY_

protectedinherited

Definition at line 104 of file compositions.hh.

◆ F_

template<class NodeX , class NodeY >

ClstF<NodeX,NodeY>& cluster::Operator02< NodeX, NodeY >::F_

private

Far field matrix F.

Definition at line 34 of file operator02.hh.

◆ N_

template<class NodeX , class NodeY >

concepts::SparseMatrix<FX> cluster::Operator02< NodeX, NodeY >::N_

private

Near field matrix.

Definition at line 40 of file operator02.hh.

◆ X_

template<class NodeX , class NodeY >

ClstX<NodeX>& cluster::Operator02< NodeX, NodeY >::X_

private

Far field matrix X.

Definition at line 36 of file operator02.hh.

◆ Y_

template<class NodeX , class NodeY >

ClstY<NodeY>& cluster::Operator02< NodeX, NodeY >::Y_

private

Far field matrix Y.

Definition at line 38 of file operator02.hh.

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

cluster/operator02.hh

cluster::Operator02< NodeX, NodeY > Class Template Reference

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Types

Private Member Functions

Private Attributes

Detailed Description

template<class NodeX, class NodeY> class cluster::Operator02< NodeX, NodeY >

Member Typedef Documentation

◆ c_type

◆ FX

◆ FY

◆ r_type

◆ TraitsX

◆ TraitsY

◆ type

Constructor & Destructor Documentation

◆ Operator02()

Member Function Documentation

◆ constructor_() [1/2]

◆ constructor_() [2/2]

◆ dimX()

◆ dimY()

◆ info()

◆ memory()

◆ operator()() [1/5]

◆ operator()() [2/5]

◆ operator()() [3/5]

◆ operator()() [4/5]

◆ operator()() [5/5]

◆ show_messages()

◆ spaceX()

◆ spaceY()

Member Data Documentation

◆ A_

◆ B_

◆ bf_

◆ dimX_

◆ dimY_

◆ F_

◆ N_

◆ X_

◆ Y_

template<class NodeX, class NodeY>
class cluster::Operator02< NodeX, NodeY >