Maps a solution vector from one space to another. More...

#include <spaceTransition.hh>

Inheritance diagram for hp3D::SpaceTransition:

Public Types
typedef Cmplxtype< Real >::type	c_type
	Real type of data type. More...

typedef Realtype< Real >::type	r_type
	Real type of data type. More...

typedef 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...

virtual void	operator() (const concepts::Function< Real > &fncY, concepts::Function< Real > &fncX)

void	operator() (const concepts::Vector< Real > &fncY, concepts::Vector< Real > &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< Real > &fncX)
	Application operator for real function `fncY`. More...

virtual void	show_messages ()

	SpaceTransition (const Space &spaceX, const Space &spaceY)
	Constructor. More...

virtual const Space &	spaceX () const

virtual const Space &	spaceY () const

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Protected Attributes
uint	dimX_
	Dimension of image space and the source space. More...

uint	dimY_

Private Member Functions
bool	findChildPath_ (const int level, const concepts::Hexahedron3d &large, const concepts::Hexahedron3d &small, concepts::Array< uint > &children)
	Finds a path from `large` to `small`. More...

Private Attributes
concepts::ElementPairList< Real >	elmPairs_
	List of element pairs. More...

const Space &	spcX_
	The spaces. More...

const Space &	spcY_

Detailed Description

Maps a solution vector from one space to another.

Works very well for most apriori meshes.

Bug:: If used for randomized meshes, some basis functions are not mapped exactly.

Author: Philipp Frauenfelder, 2003

Definition at line 42 of file spaceTransition.hh.

Member Typedef Documentation

◆ c_type

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

inherited

Real type of data type.

Definition at line 49 of file compositions.hh.

◆ r_type

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

inherited

Real type of data type.

Definition at line 47 of file compositions.hh.

◆ type

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

inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

◆ SpaceTransition()

hp3D::SpaceTransition::SpaceTransition	(	const Space &	spaceX,
		const Space &	spaceY
	)

Constructor.

A list of ElementPairs is constructed.

Parameters

spaceX
spaceY

Member Function Documentation

◆ dimX()

virtual const uint concepts::Operator< 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< 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.

◆ findChildPath_()

bool hp3D::SpaceTransition::findChildPath_	(	const int	level,
		const concepts::Hexahedron3d &	large,
		const concepts::Hexahedron3d &	small,
		concepts::Array< uint > &	children
	)

private

Finds a path from large to small.

The indices of the children which have to be taken are stored in children. If a hit is found, true is returned.

Parameters

level	Level difference between `large` and `small`
large	Large cell
small	Small cell (is a descendant of `large`)
children	Array to store the path in

◆ info()

virtual std::ostream& hp3D::SpaceTransition::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::Operator< Real >.

◆ operator()() [1/5]

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

virtualinherited

Application operator without argument.

Reimplemented in concepts::VecOperator< Real >.

◆ operator()() [2/5]

virtual void hp3D::SpaceTransition::operator()	(	const concepts::Function< Real > &	fncY,
		concepts::Function< Real > &	fncX
	)

virtual

◆ operator()() [3/5]

void hp3D::SpaceTransition::operator()	(	const concepts::Vector< Real > &	fncY,
		concepts::Vector< Real > &	fncX
	)

◆ operator()() [4/5]

virtual void concepts::Operator< 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.

Reimplemented in concepts::VecOperator< Real >.

◆ operator()() [5/5]

virtual void concepts::Operator< 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.

Reimplemented in concepts::VecOperator< Real >.

◆ show_messages()

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

inlinevirtualinherited

Definition at line 100 of file compositions.hh.

◆ spaceX()

virtual const Space& hp3D::SpaceTransition::spaceX ( ) const

inlinevirtual

Definition at line 53 of file spaceTransition.hh.

◆ spaceY()

virtual const Space& hp3D::SpaceTransition::spaceY ( ) const

inlinevirtual

Definition at line 54 of file spaceTransition.hh.

Member Data Documentation

◆ dimX_

uint concepts::Operator< Real >::dimX_

protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

◆ dimY_

uint concepts::Operator< Real >::dimY_

protectedinherited

Definition at line 104 of file compositions.hh.

◆ elmPairs_

concepts::ElementPairList<Real> hp3D::SpaceTransition::elmPairs_

private

List of element pairs.

Definition at line 61 of file spaceTransition.hh.

◆ spcX_

const Space& hp3D::SpaceTransition::spcX_

private

The spaces.

Definition at line 59 of file spaceTransition.hh.

◆ spcY_

const Space & hp3D::SpaceTransition::spcY_

private

Definition at line 59 of file spaceTransition.hh.

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

hp3D/spaceTransition.hh

hp3D::SpaceTransition Class Reference

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ c_type

◆ r_type

◆ type

Constructor & Destructor Documentation

◆ SpaceTransition()

Member Function Documentation

◆ dimX()

◆ dimY()

◆ findChildPath_()

◆ 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_

◆ elmPairs_

◆ spcX_

◆ spcY_