Cluster approximation of the stiffness matrix. More...

#include <operator01.hh>

Inheritance diagram for cluster::Operator01< NodeX, NodeY >:

Classes
class	NfldMatrix
	Class to hold the near field entries for two clusters. More...

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

typedef TraitsX::F	FX

typedef TraitsY::F	FY

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

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

typedef TreeTraits< NodeY >	TraitsY

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 of the operator and the near field (without the far field approximation) 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...

	Operator01 (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

virtual	~Operator01 ()

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 Member Functions
template<class Trts , class Nd >
void	constructor_ (const Nd clst, concepts::DynArray< uint > &idx, uint nidx, concepts::DynArray< const concepts::Element< typename Trts::F > * > &elm, uint *nelm)
	Constructor for recursive calls. More...

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

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

NfldMatrix *	N_
	Near field matrix. More...

uint	nnfldval_
	Number of near field entries. 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::Operator01< NodeX, NodeY >

Cluster approximation of the stiffness matrix.

Parameters

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

Definition at line 33 of file operator01.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::Operator01< NodeX, NodeY >::FX

Definition at line 38 of file operator01.hh.

◆ FY

template<class NodeX , class NodeY >

typedef TraitsY::F cluster::Operator01< NodeX, NodeY >::FY

Definition at line 39 of file operator01.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::Operator01< NodeX, NodeY >::TraitsX

Interface for the operator.

Definition at line 36 of file operator01.hh.

◆ TraitsY

template<class NodeX , class NodeY >

typedef TreeTraits<NodeY> cluster::Operator01< NodeX, NodeY >::TraitsY

Definition at line 37 of file operator01.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

◆ Operator01()

template<class NodeX , class NodeY >

cluster::Operator01< NodeX, NodeY >::Operator01	(	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

◆ ~Operator01()

template<class NodeX , class NodeY >

virtual cluster::Operator01< NodeX, NodeY >::~Operator01 ( )

virtual

Member Function Documentation

◆ constructor_()

template<class NodeX , class NodeY >

template<class Trts , class Nd >

void cluster::Operator01< NodeX, NodeY >::constructor_	(	const Nd *	clst,
		concepts::DynArray< uint > &	idx,
		uint *	nidx,
		concepts::DynArray< const concepts::Element< typename Trts::F > * > &	elm,
		uint *	nelm
	)

private

Constructor for recursive calls.

Parameters

clst	Cluster
idx	DoF's in the cluster (output)
nidx	Number of DoF's in the cluster (output)
elm	Elements in the cluster (output)
nelm	Number of elements in the cluster (output)

◆ dimX()

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

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

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::Operator01< NodeX, NodeY >::info ( std::ostream & os ) const

protectedvirtual

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

◆ memory()

template<class NodeX , class NodeY >

float cluster::Operator01< NodeX, NodeY >::memory ( ) const

Memory usage of the operator and the near field (without the far field approximation) in byte.

◆ 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::Operator01< NodeX, NodeY >::operator()	(	const concepts::Function< FY > &	fncY,
		concepts::Function< FX > &	fncX
	)

Exceptions

MissingFeature

◆ operator()() [3/5]

template<class NodeX , class NodeY >

void cluster::Operator01< 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< TreeTraits< NodeX >::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::Operator01< NodeX, NodeY >::spaceX ( ) const

inline

Definition at line 103 of file operator01.hh.

◆ spaceY()

template<class NodeX , class NodeY >

const concepts::Space<FY>& cluster::Operator01< NodeX, NodeY >::spaceY ( ) const

inline

Definition at line 104 of file operator01.hh.

Member Data Documentation

◆ bf_

template<class NodeX , class NodeY >

concepts::BilinearForm<FX>& cluster::Operator01< NodeX, NodeY >::bf_

private

Bilinear form.

Definition at line 109 of file operator01.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::Operator01< NodeX, NodeY >::F_

private

Far field matrix F.

Definition at line 111 of file operator01.hh.

◆ N_

template<class NodeX , class NodeY >

NfldMatrix* cluster::Operator01< NodeX, NodeY >::N_

private

Near field matrix.

Definition at line 117 of file operator01.hh.

◆ nnfldval_

template<class NodeX , class NodeY >

uint cluster::Operator01< NodeX, NodeY >::nnfldval_

private

Number of near field entries.

Definition at line 119 of file operator01.hh.

◆ X_

template<class NodeX , class NodeY >

ClstX<NodeX>& cluster::Operator01< NodeX, NodeY >::X_

private

Far field matrix X.

Definition at line 113 of file operator01.hh.

◆ Y_

template<class NodeX , class NodeY >

ClstY<NodeY>& cluster::Operator01< NodeX, NodeY >::Y_

private

Far field matrix Y.

Definition at line 115 of file operator01.hh.

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

cluster/operator01.hh

cluster::Operator01< NodeX, NodeY > Class Template Reference

Classes

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

template<class NodeX, class NodeY> class cluster::Operator01< NodeX, NodeY >

Member Typedef Documentation

◆ c_type

◆ FX

◆ FY

◆ r_type

◆ TraitsX

◆ TraitsY

◆ type

Constructor & Destructor Documentation

◆ Operator01()

◆ ~Operator01()

Member Function Documentation

◆ constructor_()

◆ 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

◆ bf_

◆ dimX_

◆ dimY_

◆ F_

◆ N_

◆ nnfldval_

◆ X_

◆ Y_

template<class NodeX, class NodeY>
class cluster::Operator01< NodeX, NodeY >