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

#include <operator.hh>

Inheritance diagram for bem::D_1< F >:
concepts::Operator< concepts::Real >

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

 D_1 (const concepts::Space< F > &spc)
 Constructor. 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...
 
virtual void operator() ()
 Application operator without argument. More...
 
void operator() (const concepts::Function< F > &fncY, concepts::Function< F > &fncX)
 Matrix vector multiplication. 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...
 
virtual void show_messages ()
 
 ~D_1 ()
 Destructor. More...
 

Protected Member Functions

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

Protected Attributes

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

Private Attributes

concepts::Realval_
 Values of the diagonal entries. More...
 

Detailed Description

template<class F = concepts::Real>
class bem::D_1< F >

Diagonal scaling operator for the piecewise constant basis.

The scaling factor is one over the square root of the support size. This is the inverse operator of bem::D.

Parameters
FField (Real or Cmplx)

Definition at line 59 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

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

◆ D_1()

template<class F = concepts::Real>
bem::D_1< F >::D_1 ( const concepts::Space< F > &  spc)

Constructor.

Exceptions
MissingFeature

◆ ~D_1()

template<class F = concepts::Real>
bem::D_1< F >::~D_1 ( )
inline

Destructor.

Definition at line 66 of file operator.hh.

Member Function Documentation

◆ 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.

◆ info()

template<class F = concepts::Real>
std::ostream& bem::D_1< F >::info ( std::ostream &  os) const
protectedvirtual

Information about the operator.

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

◆ operator()() [1/5]

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

Application operator without argument.

◆ operator()() [2/5]

template<class F = concepts::Real>
void bem::D_1< F >::operator() ( const concepts::Function< F > &  fncY,
concepts::Function< F > &  fncX 
)

Matrix vector multiplication.

Exceptions
MissingFeature

◆ operator()() [3/5]

template<class F = concepts::Real>
void bem::D_1< 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.

◆ show_messages()

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

Definition at line 100 of file compositions.hh.

Member Data Documentation

◆ 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.

◆ val_

template<class F = concepts::Real>
concepts::Real* bem::D_1< F >::val_
private

Values of the diagonal entries.

Definition at line 81 of file operator.hh.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
© 2020 Eidgenössische Technische Hochschule Zürich