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 >:

Collaboration diagram for aglowav2::W2C< F >:

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
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::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`.
void	operator() (const concepts::Function< F > &fncW, concepts::Function< F > &fncC)
	Transformation from fncW to fncC.
virtual void	operator() (const Function< r_type > &fncY, Function< F > &fncX)
	Application operator for real function `fncY`.
const concepts::Space< F > &	spaceX () const
	Spaces of the transformation.
const Haar3d0< F > &	spaceY () const
	W2C (const Haar3d0< F > &wavspc)
	Constructor.
	~W2C ()
	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
F *	data_
F *	locdata_
uint	maxdim_
	Maximal local dimension.
uint	nlvl_
	Maximal level.
F **	ptrs_
	Auxiliary vectors.
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 73 of file trafo.hh.

Member Typedef Documentation

template<class F>

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

Real type of data type.

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 >.

Definition at line 47 of file compositions.hh.

template<class F>

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

Real type of data type.

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 >.

Definition at line 45 of file compositions.hh.

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 >

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

Constructor.

Definition at line 110 of file trafo.hh.

template<class F = concepts::Real>

aglowav2::W2C< F >::~W2C ( ) [inline]

Destructor.

Definition at line 78 of file trafo.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 >

std::ostream & aglowav2::W2C< F >::info ( std::ostream & os ) const [protected, virtual]

Information about the operator.

Reimplemented from concepts::Operator< F >.

Definition at line 120 of file trafo.hh.

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 = concepts::Real>

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

Transformation from fncW to fncC.

Exceptions:

MissingFeature

template<class F = concepts::Real>

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

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>

const concepts::Space<F>& aglowav2::W2C< F >::spaceX ( ) const [inline]

Spaces of the transformation.

Definition at line 88 of file trafo.hh.

template<class F = concepts::Real>

const Haar3d0<F>& aglowav2::W2C< F >::spaceY ( ) const [inline]

Definition at line 89 of file trafo.hh.

Member Data Documentation

template<class F = concepts::Real>

F* aglowav2::W2C< F >::data_ [private]

Definition at line 105 of file trafo.hh.

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>

F* aglowav2::W2C< F >::locdata_ [private]

Definition at line 106 of file trafo.hh.

template<class F = concepts::Real>

uint aglowav2::W2C< F >::maxdim_ [private]

Maximal local dimension.

Definition at line 99 of file trafo.hh.

template<class F = concepts::Real>

uint aglowav2::W2C< F >::nlvl_ [private]

Maximal level.

Definition at line 101 of file trafo.hh.

template<class F = concepts::Real>

F** aglowav2::W2C< F >::ptrs_ [private]

Auxiliary vectors.

Definition at line 104 of file trafo.hh.

template<class F = concepts::Real>

const Haar3d0<F>& aglowav2::W2C< F >::wavspc_ [private]

Definition at line 96 of file trafo.hh.

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

aglowav2/trafo.hh

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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