Cluster approximation of the stiffness matrix. More...

#include <operator01.hh>

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

Collaboration 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.
typedef TraitsX::F	FX
typedef TraitsY::F	FY
typedef Realtype< TreeTraits < NodeX >::F >::type	r_type
	Real type of data type.
typedef TreeTraits< NodeX >	TraitsX
	Interface for the operator.
typedef TreeTraits< NodeY >	TraitsY
typedef TreeTraits< NodeX >::F	type
	Type of data, e.g. matrix entries.
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)
virtual const uint	dimY () const
	Returns the size of the source space of the operator (number of columns of the corresponding matrix)
float	memory () const
	Memory usage of the operator and the near field (without the far field approximation) in byte.
virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
	Application operator for complex function `fncY`.
void	operator() (const concepts::Vector< FY > &fncY, concepts::Vector< FX > &fncX)
virtual void	operator() (const Function< r_type > &fncY, Function< TreeTraits< NodeX >::F > &fncX)
	Application operator for real function `fncY`.
void	operator() (const concepts::Function< FY > &fncY, concepts::Function< FX > &fncX)
	Operator01 (concepts::BilinearForm< FX > &bf, ClstF< NodeX, NodeY > &F, ClstX< NodeX > &X, ClstY< NodeY > &Y)
	Constructor.
const concepts::Space< FX > &	spaceX () const
const concepts::Space< FY > &	spaceY () const
virtual	~Operator01 ()
Protected Member Functions
std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
uint	dimX_
	Dimension of image space and the source space.
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.
Private Attributes
concepts::BilinearForm< FX > &	bf_
	Bilinear form.
ClstF< NodeX, NodeY > &	F_
	Far field matrix F.
NfldMatrix *	N_
	Near field matrix.
uint	nnfldval_
	Number of near field entries.
ClstX< NodeX > &	X_
	Far field matrix X.
ClstY< NodeY > &	Y_
	Far field matrix Y.

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 31 of file operator01.hh.

Member Typedef Documentation

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

Real type of data type.

Definition at line 47 of file compositions.hh.

template<class NodeX , class NodeY >

typedef TraitsX::F cluster::Operator01< NodeX, NodeY >::FX

Definition at line 36 of file operator01.hh.

template<class NodeX , class NodeY >

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

Definition at line 37 of file operator01.hh.

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

Real type of data type.

Definition at line 45 of file compositions.hh.

template<class NodeX , class NodeY >

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

Interface for the operator.

Definition at line 34 of file operator01.hh.

template<class NodeX , class NodeY >

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

Definition at line 35 of file operator01.hh.

typedef TreeTraits< NodeX >::F concepts::Operator< TreeTraits< NodeX >::F >::type [inherited]

Type of data, e.g. matrix entries.

Definition at line 43 of file compositions.hh.

Constructor & Destructor Documentation

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

template<class NodeX , class NodeY >

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

Member Function Documentation

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)

virtual const uint concepts::Operator< TreeTraits< NodeX >::F >::dimX ( ) const [inline, virtual, inherited]

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

Definition at line 87 of file compositions.hh.

virtual const uint concepts::Operator< TreeTraits< NodeX >::F >::dimY ( ) const [inline, virtual, inherited]

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

Definition at line 92 of file compositions.hh.

template<class NodeX , class NodeY >

std::ostream& cluster::Operator01< NodeX, NodeY >::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

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

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.

virtual void concepts::Operator< TreeTraits< NodeX >::F >::operator()	(	const Function< r_type > &	fncY,
		Function< TreeTraits< NodeX >::F > &	fncX
	)		`[virtual, inherited]`

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.

virtual void concepts::Operator< TreeTraits< NodeX >::F >::operator()	(	const Function< c_type > &	fncY,
		Function< c_type > &	fncX
	)		`[virtual, inherited]`

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.

template<class NodeX , class NodeY >

void cluster::Operator01< NodeX, NodeY >::operator()	(	const concepts::Vector< FY > &	fncY,
		concepts::Vector< FX > &	fncX
	)

template<class NodeX , class NodeY >

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

Exceptions:

MissingFeature

template<class NodeX , class NodeY >

const concepts::Space<FX>& cluster::Operator01< NodeX, NodeY >::spaceX ( ) const [inline]

Definition at line 101 of file operator01.hh.

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template<class NodeX , class NodeY >

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

Definition at line 102 of file operator01.hh.

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Member Data Documentation

template<class NodeX , class NodeY >

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

Bilinear form.

Definition at line 107 of file operator01.hh.

uint concepts::Operator< TreeTraits< NodeX >::F >::dimX_ [protected, inherited]

Dimension of image space and the source space.

Definition at line 96 of file compositions.hh.

uint concepts::Operator< TreeTraits< NodeX >::F >::dimY_ [protected, inherited]

Definition at line 96 of file compositions.hh.

template<class NodeX , class NodeY >

ClstF<NodeX, NodeY>& cluster::Operator01< NodeX, NodeY >::F_ [private]

Far field matrix F.

Definition at line 109 of file operator01.hh.

template<class NodeX , class NodeY >

NfldMatrix* cluster::Operator01< NodeX, NodeY >::N_ [private]

Near field matrix.

Definition at line 115 of file operator01.hh.

template<class NodeX , class NodeY >

uint cluster::Operator01< NodeX, NodeY >::nnfldval_ [private]

Number of near field entries.

Definition at line 117 of file operator01.hh.

template<class NodeX , class NodeY >

ClstX<NodeX>& cluster::Operator01< NodeX, NodeY >::X_ [private]

Far field matrix X.

Definition at line 111 of file operator01.hh.

template<class NodeX , class NodeY >

ClstY<NodeY>& cluster::Operator01< NodeX, NodeY >::Y_ [private]

Far field matrix Y.

Definition at line 113 of file operator01.hh.

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

cluster/operator01.hh

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

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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