#include <formula.hh>

Inheritance diagram for concepts::PiecewiseFormulaVectorBase< F, G, H, I >:

Public Types
typedef concepts::Realtype< H >::type	G

typedef F	value_type

Public Member Functions
	PiecewiseFormulaVectorBase (const Space< G > &spc, const Vector< F > &coeff, const ElementFunction< I, G > &fun)

virtual PiecewiseFormulaBase< H > *	clone () const=0
	Virtual copy constructor.

virtual H	operator() (const ElementWithCell< G > &elm, const Real p, const Real t=0.0) const

virtual H	operator() (const ElementWithCell< G > &elm, const Real2d &p, const Real t=0.0) const

virtual H	operator() (const ElementWithCell< G > &elm, const Real3d &p, const Real t=0.0) const

virtual H	operator() (const Connector &cntr, const Real p, const Real t=0.0) const=0

virtual H	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const=0

virtual H	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const=0

virtual F	operator() (const ElementWithCell< G > &elm, const Real p, const Real t=0.0) const =0

virtual F	operator() (const ElementWithCell< G > &elm, const Real2d &p, const Real t=0.0) const =0

virtual F	operator() (const ElementWithCell< G > &elm, const Real3d &p, const Real t=0.0) const =0

virtual const H &	dflt_value () const
	Gives default value.

virtual H &	dflt_value ()
	Gives default value.

Protected Member Functions
const ElementWithCell< G > *	element_ (const Connector &cell) const

virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Protected Attributes
const Space< G > &	spc_
	Space.

Array< F >	coeff_
	Solution vector.

const ElementFunction< I, G > *	fun_
	Function of the FE function.

std::map< uint, const ElementWithCell< G > * >	elm_
	Mapping from cell key to the element.

Detailed Description

template<class F, class G, class H, class I>
class concepts::PiecewiseFormulaVectorBase< F, G, H, I >

Base class for piecewise defined formula, which are a function of a FE function.

Parameters

F	type of the coefficients
G	type of the space, i.e. that of the T matrices
H	type of the formula, is determined by derived classes
I	type of the element function

Author: Kersten Schmidt, 2005

Definition at line 33 of file formula.hh.

Member Typedef Documentation

◆ G

typedef concepts::Realtype<H >::type concepts::PiecewiseFormulaBase< H >::G

inherited

Definition at line 45 of file piecewiseFormula.hh.

◆ value_type

template<typename F , typename G = typename Realtype<F>::type>

typedef F concepts::ElementFormula< F, G >::value_type

inherited

Definition at line 37 of file elementFormula.hh.

Constructor & Destructor Documentation

◆ PiecewiseFormulaVectorBase()

template<class F , class G , class H , class I >

concepts::PiecewiseFormulaVectorBase< F, G, H, I >::PiecewiseFormulaVectorBase	(	const Space< G > &	spc,
		const Vector< F > &	coeff,
		const ElementFunction< I, G > &	fun
	)

Constructor

Definition at line 56 of file formula.hh.

Member Function Documentation

◆ clone()

virtual PiecewiseFormulaBase< H > * concepts::PiecewiseFormulaBase< H >::clone ( ) const

pure virtualinherited

Virtual copy constructor.

Implements concepts::ElementFormula< F, G >.

Implemented in concepts::PiecewiseFormulaVector< 1, F, G, H >.

◆ dflt_value() [1/2]

virtual H & concepts::PiecewiseFormulaBase< H >::dflt_value ( )

inlinevirtualinherited

Gives default value.

Definition at line 83 of file piecewiseFormula.hh.

◆ dflt_value() [2/2]

virtual const H & concepts::PiecewiseFormulaBase< H >::dflt_value ( ) const

inlinevirtualinherited

Gives default value.

Definition at line 81 of file piecewiseFormula.hh.

◆ element_()

template<class F , class G , class H , class I >

const ElementWithCell< G > * concepts::PiecewiseFormulaVectorBase< F, G, H, I >::element_ ( const Connector & cell ) const

protected

Returns pointer to the element to which the cell cell or one of their children belongs. If not such a element exists, null pointer is returned.

Definition at line 79 of file formula.hh.

◆ info()

std::ostream & concepts::PiecewiseFormulaBase< H >::info ( std::ostream & os ) const

protectedvirtualinherited

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Definition at line 85 of file piecewiseFormula.hh.

◆ operator()() [1/7]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const Connector &	cntr,
		const Real	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Gives the value in an particular cell on a particular point

Parameters

cell	topological cell
p	physical coordinates
t	time

Implemented in concepts::PiecewiseFormulaVector< 1, F, G, H >.

◆ operator()() [2/7]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const ElementWithCell< G > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 52 of file piecewiseFormula.hh.

◆ operator()() [3/7]

template<typename F , typename G = typename Realtype<F>::type>

virtual F concepts::ElementFormula< F, G >::operator()	(	const ElementWithCell< G > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

Implemented in concepts::ComposeFormulaMatVec< F, DIM, G >, concepts::ComposeFormulaVecEntry< F, DIM, G >, concepts::ElementFormulaContainer< F, G >, concepts::ElementFormulaContainer< concepts::Point< F, 2 >, G >, concepts::FrmE_Component< F, G, H >, concepts::FrmE_Component_Matrix< F, G, H >, concepts::FrmE_Conjugate< F, G >, concepts::FrmE_Inverse< F, G >, concepts::FrmE_PointToMapping< dim, F, G >, concepts::FrmE_PointsToMapping< 2, F, G >, concepts::FrmE_Trace< dim, F, G >, concepts::FrmE_Product< F, H, J, G >, concepts::FrmE_Sum< F, H, J, G >, concepts::MatrixElementFormula< F, dim, G >, concepts::VectorElementFormulaBase< F, dim, G >, concepts::VectorElementFormulaBase< F, 2, G >, concepts::VectorElementFormulaBase< F, 3, G >, concepts::PiecewiseElementFormula< F, G >, concepts::DirichletElementFormula< F, G >, concepts::ElementFormulaCompose< F, G, H >, concepts::ComposeFormulaMatVec< F, DIM, G >, and concepts::ComposeFormulaVecEntry< F, DIM, G >.

◆ operator()() [4/7]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const ElementWithCell< G > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 57 of file piecewiseFormula.hh.

◆ operator()() [5/7]

template<typename F , typename G = typename Realtype<F>::type>

virtual F concepts::ElementFormula< F, G >::operator()	(	const ElementWithCell< G > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

Implemented in concepts::ComposeFormulaMatVec< F, DIM, G >, concepts::ComposeFormulaVecEntry< F, DIM, G >, concepts::ElementFormulaContainer< F, G >, concepts::ElementFormulaContainer< concepts::Point< F, 2 >, G >, concepts::FrmE_Component< F, G, H >, concepts::FrmE_Component_Matrix< F, G, H >, concepts::FrmE_Conjugate< F, G >, concepts::FrmE_Inverse< F, G >, concepts::FrmE_PointToMapping< dim, F, G >, concepts::FrmE_PointsToMapping< 2, F, G >, concepts::FrmE_Trace< dim, F, G >, concepts::FrmE_Product< F, H, J, G >, concepts::FrmE_Sum< F, H, J, G >, concepts::MatrixElementFormula< F, dim, G >, concepts::VectorElementFormulaBase< F, dim, G >, concepts::VectorElementFormulaBase< F, 2, G >, concepts::VectorElementFormulaBase< F, 3, G >, concepts::PiecewiseElementFormula< F, G >, concepts::DirichletElementFormula< F, G >, concepts::ElementFormulaCompose< F, G, H >, concepts::ComposeFormulaMatVec< F, DIM, G >, and concepts::ComposeFormulaVecEntry< F, DIM, G >.

◆ operator()() [6/7]

virtual H concepts::PiecewiseFormulaBase< H >::operator()	(	const ElementWithCell< G > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Definition at line 63 of file piecewiseFormula.hh.

◆ operator()() [7/7]

template<typename F , typename G = typename Realtype<F>::type>

virtual F concepts::ElementFormula< F, G >::operator()	(	const ElementWithCell< G > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the formula.

Parameters

elm	Element
p	Point in space in local element coordinates
t	Point in time

Implemented in concepts::ComposeFormulaMatVec< F, DIM, G >, concepts::ComposeFormulaVecEntry< F, DIM, G >, concepts::ElementFormulaContainer< F, G >, concepts::ElementFormulaContainer< concepts::Point< F, 2 >, G >, concepts::FrmE_Component< F, G, H >, concepts::FrmE_Component_Matrix< F, G, H >, concepts::FrmE_Conjugate< F, G >, concepts::FrmE_Inverse< F, G >, concepts::FrmE_PointToMapping< dim, F, G >, concepts::FrmE_PointsToMapping< 2, F, G >, concepts::FrmE_Trace< dim, F, G >, concepts::FrmE_Product< F, H, J, G >, concepts::FrmE_Sum< F, H, J, G >, concepts::MatrixElementFormula< F, dim, G >, concepts::VectorElementFormulaBase< F, dim, G >, concepts::VectorElementFormulaBase< F, 2, G >, concepts::VectorElementFormulaBase< F, 3, G >, concepts::PiecewiseElementFormula< F, G >, concepts::DirichletElementFormula< F, G >, concepts::ElementFormulaCompose< F, G, H >, concepts::ComposeFormulaMatVec< F, DIM, G >, and concepts::ComposeFormulaVecEntry< F, DIM, G >.

Member Data Documentation

◆ coeff_

template<class F , class G , class H , class I >

Array<F> concepts::PiecewiseFormulaVectorBase< F, G, H, I >::coeff_

protected

Solution vector.

Definition at line 43 of file formula.hh.

◆ elm_

template<class F , class G , class H , class I >

std::map<uint, const ElementWithCell<G>*> concepts::PiecewiseFormulaVectorBase< F, G, H, I >::elm_

protected

Mapping from cell key to the element.

Definition at line 47 of file formula.hh.

◆ fun_

template<class F , class G , class H , class I >

const ElementFunction<I,G>* concepts::PiecewiseFormulaVectorBase< F, G, H, I >::fun_

protected

Function of the FE function.

Definition at line 45 of file formula.hh.

◆ spc_

template<class F , class G , class H , class I >

const Space<G>& concepts::PiecewiseFormulaVectorBase< F, G, H, I >::spc_

protected

Space.

Definition at line 41 of file formula.hh.

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

function/formula.hh

Class documentation of Concepts

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ G

◆ value_type

Constructor & Destructor Documentation

◆ PiecewiseFormulaVectorBase()

Member Function Documentation

◆ clone()

◆ dflt_value() [1/2]

◆ dflt_value() [2/2]

◆ element_()

◆ info()

◆ operator()() [1/7]

◆ operator()() [2/7]

◆ operator()() [3/7]

◆ operator()() [4/7]

◆ operator()() [5/7]

◆ operator()() [6/7]

◆ operator()() [7/7]

Member Data Documentation

◆ coeff_

◆ elm_

◆ fun_

◆ spc_