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bem::D< F > Class Template Reference

Diagonal scaling operator for the piecewise constant basis. More...

#include <operator.hh>

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List of all members.

Public Types

typedef Cmplxtype< F >::type c_type
 Real type of data type.
typedef Realtype< F >::type r_type
 Real type of data type.
typedef F type
 Type of data, e.g. matrix entries.

Public Member Functions

 D (const concepts::Space< F > &spc)
 Constructor.
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)
void operator() (const concepts::Function< F > &fncY, concepts::Function< F > &fncX)
 Matrix vector multiplication.
virtual void operator() (const Function< r_type > &fncY, Function< F > &fncX)
 Application operator for real function fncY.
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.
 ~D ()
 Destructor.

Protected Member Functions

std::ostream & info (std::ostream &os) const
 Information about the operator.

Protected Attributes

uint dimX_
 Dimension of image space and the source space.
uint dimY_

Private Attributes

concepts::Realval_
 Values of the diagonal entries.

Detailed Description

template<class F = concepts::Real>
class bem::D< F >

Diagonal scaling operator for the piecewise constant basis.

The scaling factor is the square root of the support size.

Parameters:
FField (Real or Cmplx)

Definition at line 24 of file operator.hh.


Member Typedef Documentation

template<class F>
typedef Cmplxtype<F>::type concepts::Operator< F >::c_type [inherited]
template<class F>
typedef Realtype<F>::type concepts::Operator< F >::r_type [inherited]
template<class F>
typedef F concepts::Operator< F >::type [inherited]

Type of data, e.g. matrix entries.

Reimplemented in concepts::AfterIteration< F >, and concepts::SubMatrixN< F >.

Definition at line 43 of file compositions.hh.


Constructor & Destructor Documentation

template<class F = concepts::Real>
bem::D< F >::D ( const concepts::Space< F > &  spc)

Constructor.

Exceptions:
MissingFeature
template<class F = concepts::Real>
bem::D< F >::~D ( ) [inline]

Destructor.

Definition at line 31 of file operator.hh.


Member Function Documentation

template<class F>
virtual const uint concepts::Operator< 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.

template<class F>
virtual const uint concepts::Operator< 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 F = concepts::Real>
std::ostream& bem::D< F >::info ( std::ostream &  os) const [protected, virtual]

Information about the operator.

Reimplemented from concepts::Operator< F >.

template<class F>
virtual void concepts::Operator< 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.

Reimplemented in concepts::VecOperator< F >, concepts::Multiple< F >, concepts::LiCoI< F >, concepts::LiCo< F >, concepts::DenseMatrix< F >, concepts::DiagonalMatrix< F >, concepts::DiagonalSolver< F >, concepts::Matrix< F >, concepts::Permutation< F >, concepts::SparseMatrix< F >, concepts::SubMatrixN< F >, concepts::Transpose< F >, concepts::VecOperator< Real >, concepts::DenseMatrix< Cmplx >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< concepts::Real >, concepts::Matrix< F::type >, concepts::Matrix< FX >, concepts::Matrix< T >, concepts::Matrix< Cmplx >, concepts::Matrix< Real >, concepts::Permutation< Real >, concepts::SparseMatrix< concepts::Real >, concepts::SparseMatrix< FX >, concepts::SparseMatrix< T >, concepts::SparseMatrix< Cmplx >, and concepts::SparseMatrix< Real >.

template<class F>
virtual void concepts::Operator< F >::operator() ( const Function< r_type > &  fncY,
Function< 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.

Reimplemented in concepts::VecOperator< F >, concepts::Multiple< F >, concepts::LiCoI< F >, concepts::LiCo< F >, concepts::DenseMatrix< F >, concepts::DiagonalMatrix< F >, concepts::DiagonalSolver< F >, concepts::Matrix< F >, concepts::Permutation< F >, concepts::SparseMatrix< F >, concepts::SubMatrixN< F >, concepts::Transpose< F >, concepts::VecOperator< Real >, concepts::DenseMatrix< Cmplx >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< concepts::Real >, concepts::Matrix< F::type >, concepts::Matrix< FX >, concepts::Matrix< T >, concepts::Matrix< Cmplx >, concepts::Matrix< Real >, concepts::Permutation< Real >, concepts::SparseMatrix< concepts::Real >, concepts::SparseMatrix< FX >, concepts::SparseMatrix< T >, concepts::SparseMatrix< Cmplx >, and concepts::SparseMatrix< Real >.

template<class F = concepts::Real>
void bem::D< F >::operator() ( const concepts::Function< F > &  fncY,
concepts::Function< F > &  fncX 
)

Matrix vector multiplication.

Exceptions:
MissingFeature
template<class F = concepts::Real>
void bem::D< F >::operator() ( const concepts::Vector< F > &  fncY,
concepts::Vector< F > &  fncX 
)

Member Data Documentation

template<class F>
uint concepts::Operator< F >::dimX_ [protected, inherited]

Dimension of image space and the source space.

Definition at line 96 of file compositions.hh.

template<class F>
uint concepts::Operator< F >::dimY_ [protected, inherited]

Definition at line 96 of file compositions.hh.

template<class F = concepts::Real>
concepts::Real* bem::D< F >::val_ [private]

Values of the diagonal entries.

Definition at line 46 of file operator.hh.


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

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