Transformation operator from the agglomerated wavelet space to the constant one scale space (without scaling). More...

#include <trafo.hh>

Inheritance diagram for aglowav2::W2C< 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

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 > &fncW, concepts::Function< F > &fncC)
 Transformation from fncW to fncC. More...
 
void operator() (const concepts::Vector< F > &fncW, concepts::Vector< F > &fncC)
 
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 ()
 
const concepts::Space< F > & spaceX () const
 Spaces of the transformation. More...
 
const Haar3d0< F > & spaceY () const
 
 W2C (const Haar3d0< F > &wavspc)
 Constructor. More...
 
 ~W2C ()
 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

F * data_
 
F * locdata_
 
uint maxdim_
 Maximal local dimension. More...
 
uint nlvl_
 Maximal level. More...
 
F ** ptrs_
 Auxiliary vectors. More...
 
const Haar3d0< F > & wavspc_
 

Detailed Description

template<class F = concepts::Real>
class aglowav2::W2C< F >

Transformation operator from the agglomerated wavelet space to the constant one scale space (without scaling).

Definition at line 76 of file trafo.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

◆ W2C()

template<class F >
aglowav2::W2C< F >::W2C ( const Haar3d0< F > &  wavspc)

Constructor.

Definition at line 113 of file trafo.hh.

◆ ~W2C()

template<class F = concepts::Real>
aglowav2::W2C< F >::~W2C ( )
inline

Destructor.

Definition at line 81 of file trafo.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 >
std::ostream & aglowav2::W2C< F >::info ( std::ostream &  os) const
protectedvirtual

Information about the operator.

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

Definition at line 123 of file trafo.hh.

◆ operator()() [1/5]

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

Application operator without argument.

◆ operator()() [2/5]

template<class F = concepts::Real>
void aglowav2::W2C< F >::operator() ( const concepts::Function< F > &  fncW,
concepts::Function< F > &  fncC 
)

Transformation from fncW to fncC.

Exceptions
MissingFeature

◆ operator()() [3/5]

template<class F = concepts::Real>
void aglowav2::W2C< F >::operator() ( const concepts::Vector< F > &  fncW,
concepts::Vector< F > &  fncC 
)

◆ 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.

◆ spaceX()

template<class F = concepts::Real>
const concepts::Space<F>& aglowav2::W2C< F >::spaceX ( ) const
inline

Spaces of the transformation.

Definition at line 91 of file trafo.hh.

◆ spaceY()

template<class F = concepts::Real>
const Haar3d0<F>& aglowav2::W2C< F >::spaceY ( ) const
inline

Definition at line 92 of file trafo.hh.

Member Data Documentation

◆ data_

template<class F = concepts::Real>
F* aglowav2::W2C< F >::data_
private

Definition at line 108 of file trafo.hh.

◆ 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.

◆ locdata_

template<class F = concepts::Real>
F* aglowav2::W2C< F >::locdata_
private

Definition at line 109 of file trafo.hh.

◆ maxdim_

template<class F = concepts::Real>
uint aglowav2::W2C< F >::maxdim_
private

Maximal local dimension.

Definition at line 102 of file trafo.hh.

◆ nlvl_

template<class F = concepts::Real>
uint aglowav2::W2C< F >::nlvl_
private

Maximal level.

Definition at line 104 of file trafo.hh.

◆ ptrs_

template<class F = concepts::Real>
F** aglowav2::W2C< F >::ptrs_
private

Auxiliary vectors.

Definition at line 107 of file trafo.hh.

◆ wavspc_

template<class F = concepts::Real>
const Haar3d0<F>& aglowav2::W2C< F >::wavspc_
private

Definition at line 99 of file trafo.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