Weighted diagonal preconditioner for the binary Wavelets. More...

#include <operator.hh>

Inheritance diagram for aglowav::C2_tl2< F >:

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
	C2_tl2 (const BiHaar3d< F > &spc, concepts::Real t)
	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 ()

const BiHaar3d< F > &	spaceX () const
	Spaces of the transformation. More...

const BiHaar3d< F > &	spaceY () const

	~C2_tl2 ()
	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::Real **	idx_
	n entries, each entry points to the appropriate entry in val_ More...

const BiHaar3d< F > &	spc_
	Spaces of the transformation. More...

concepts::Real	t_

concepts::Real *	val_
	Values of the diagonal entries (only one entry per level) More...

Detailed Description

template<class F = concepts::Real>
class aglowav::C2_tl2< F >

Weighted diagonal preconditioner for the binary Wavelets.

The weights are $2^{-tl/2}$ where is a parameter ( $-1/2 < t \leq 0$ normally) and the level of the support.

Parameters

F	Field (Real or Cmplx)

Definition at line 118 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

typedef concepts::Real concepts::Operator< concepts::Real >::type

inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

◆ C2_tl2()

template<class F = concepts::Real>

aglowav::C2_tl2< F >::C2_tl2	(	const BiHaar3d< F > &	spc,
		concepts::Real	t
	)

Constructor.

Exceptions

MissingFeature

◆ ~C2_tl2()

template<class F = concepts::Real>

aglowav::C2_tl2< F >::~C2_tl2 ( )

inline

Destructor.

Definition at line 125 of file operator.hh.

Member Function Documentation

◆ dimX()

virtual const uint concepts::Operator< concepts::Real >::dimX

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

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& aglowav::C2_tl2< 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 aglowav::C2_tl2< 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 aglowav::C2_tl2< 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< concepts::Real > &	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 BiHaar3d<F>& aglowav::C2_tl2< F >::spaceX ( ) const

inline

Spaces of the transformation.

Definition at line 135 of file operator.hh.

◆ spaceY()

template<class F = concepts::Real>

const BiHaar3d<F>& aglowav::C2_tl2< F >::spaceY ( ) const

inline

Definition at line 136 of file operator.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.

◆ idx_

template<class F = concepts::Real>

concepts::Real** aglowav::C2_tl2< F >::idx_

private

n entries, each entry points to the appropriate entry in val_

Definition at line 149 of file operator.hh.

◆ spc_

template<class F = concepts::Real>

const BiHaar3d<F>& aglowav::C2_tl2< F >::spc_

private

Spaces of the transformation.

Definition at line 144 of file operator.hh.

◆ t_

template<class F = concepts::Real>

concepts::Real aglowav::C2_tl2< F >::t_

private

Definition at line 145 of file operator.hh.

◆ val_

template<class F = concepts::Real>

concepts::Real* aglowav::C2_tl2< F >::val_

private

Values of the diagonal entries (only one entry per level)

Definition at line 147 of file operator.hh.

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

aglowav/operator.hh

aglowav::C2_tl2< F > Class Template Reference

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

template<class F = concepts::Real> class aglowav::C2_tl2< F >

Member Typedef Documentation

◆ c_type

◆ r_type

◆ type

Constructor & Destructor Documentation

◆ C2_tl2()

◆ ~C2_tl2()

Member Function Documentation

◆ dimX()

◆ dimY()

◆ info()

◆ operator()() [1/5]

◆ operator()() [2/5]

◆ operator()() [3/5]

◆ operator()() [4/5]

◆ operator()() [5/5]

◆ show_messages()

◆ spaceX()

◆ spaceY()

Member Data Documentation

◆ dimX_

◆ dimY_

◆ idx_

◆ spc_

◆ t_

◆ val_

template<class F = concepts::Real>
class aglowav::C2_tl2< F >