Piecewise constant function defined by the attribute of a cell. More...

#include <formula.hh>

Inheritance diagram for concepts::PiecewiseConstFormula< F >:

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

typedef Real	value_type

Public Member Functions
virtual PiecewiseConstFormula< F > *	clone () const
	Virtual constructor. More...

virtual PiecewiseFormulaBase< Real > *	clone () const=0
	Virtual constructor. More...

virtual Real &	dflt_value ()
	Gives default value. More...

virtual const Real &	dflt_value () const
	Gives default value. More...

virtual F	operator() (const Connector &cell, const Real p, const Real t=0.0) const
	Gives the constant in an particular cell. More...

virtual F	operator() (const Connector &cell, const Real2d &p, const Real t=0.0) const

virtual F	operator() (const Connector &cell, const Real3d &p, const Real t=0.0) const

virtual Real	operator() (const ElementWithCell< concepts::Realtype< Real >::type > &elm, const Real p, const Real t=0.0) const=0
	Evaluates the formula. More...

virtual Real	operator() (const ElementWithCell< concepts::Realtype< Real >::type > &elm, const Real2d &p, const Real t=0.0) const=0
	Evaluates the formula. More...

virtual Real	operator() (const ElementWithCell< concepts::Realtype< Real >::type > &elm, const Real3d &p, const Real t=0.0) const=0
	Evaluates the formula. More...

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

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

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

template<class H >
PiecewiseConstFormula< F > &	operator*= (const H &factor)

virtual F &	operator[] (const uint attrib)
	Set the constant in an particular cell. More...

virtual const F &	operator[] (const uint attrib) const

	PiecewiseConstFormula (const F dflt_value=0)
	Constructor with default value `dflt_value`. More...

	PiecewiseConstFormula (const HashMap< F > formula, const F dflt_value=0)
	Constructor with given mapping `formula` and default value `dflt_value`. More...

	PiecewiseConstFormula (const std::map< int, F > formula, const F dflt_value=0)
	Constructor with given mapping `formula` and default value `dflt_value`. More...

virtual	~PiecewiseConstFormula ()

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

Protected Attributes
HashMap< F >	formula_
	Mapping from the elements on to the constants. More...

Private Attributes
Real	dflt_value_
	default value More...

Detailed Description

template<typename F = Real>
class concepts::PiecewiseConstFormula< F >

Piecewise constant function defined by the attribute of a cell.

This is a proper function for piecewise constant material coefficients, which are most needed in linear and bilinear forms.

Because in linear and bilinear forms are loops over the elements, the appropiate topological cell (connector), respectively the attribute, is known and so it's possible to avoid the searching und to use operator() with attrib as input.

In refined meshes the children of a cell gets the same constant due to the handing down the attributes.

If the constant is asked for an element, which can't be find in the list, the default value set in the constructor, is taken. If the default value is not given, it is created by the constructor of the type F, this is mostly 0.

Author: Kersten Schmidt, 2004

Examples: BGT_0.cc, and exactDtN.cc.

Definition at line 84 of file formula.hh.

Member Typedef Documentation

◆ G

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

inherited

Definition at line 45 of file piecewiseFormula.hh.

◆ value_type

typedef Real concepts::ElementFormula< Real , concepts::Realtype< Real >::type >::value_type

inherited

Definition at line 37 of file elementFormula.hh.

Constructor & Destructor Documentation

◆ PiecewiseConstFormula() [1/3]

template<typename F = Real>

concepts::PiecewiseConstFormula< F >::PiecewiseConstFormula ( const F dflt_value = 0 )

Constructor with default value dflt_value.

◆ PiecewiseConstFormula() [2/3]

template<typename F = Real>

concepts::PiecewiseConstFormula< F >::PiecewiseConstFormula	(	const HashMap< F >	formula,
		const F	dflt_value = `0`
	)

Constructor with given mapping formula and default value dflt_value.

◆ PiecewiseConstFormula() [3/3]

template<typename F = Real>

concepts::PiecewiseConstFormula< F >::PiecewiseConstFormula	(	const std::map< int, F >	formula,
		const F	dflt_value = `0`
	)

Constructor with given mapping formula and default value dflt_value.

◆ ~PiecewiseConstFormula()

template<typename F = Real>

virtual concepts::PiecewiseConstFormula< F >::~PiecewiseConstFormula ( )

virtual

Member Function Documentation

◆ clone() [1/2]

template<typename F = Real>

virtual PiecewiseConstFormula<F>* concepts::PiecewiseConstFormula< F >::clone ( ) const

virtual

Virtual constructor.

Returns a pointer to a copy of itself. The caller is responsible to destroy this copy.

Implements concepts::Cloneable.

◆ clone() [2/2]

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

pure virtualinherited

Virtual constructor.

Returns a pointer to a copy of itself. The caller is responsible to destroy this copy.

Implements concepts::ElementFormula< Real, concepts::Realtype< Real >::type >.

Implemented in concepts::PiecewiseFormulaFun< Real, Real >, concepts::PiecewiseFormula< Real >, and concepts::PiecewiseConstFormula< Real >.

◆ dflt_value() [1/2]

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

inlinevirtualinherited

Gives default value.

Definition at line 83 of file piecewiseFormula.hh.

◆ dflt_value() [2/2]

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

inlinevirtualinherited

Gives default value.

Definition at line 81 of file piecewiseFormula.hh.

◆ info()

template<typename F = Real>

virtual std::ostream& concepts::PiecewiseConstFormula< F >::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::PiecewiseFormulaBase< Real >.

◆ operator()() [1/9]

template<typename F = Real>

virtual F concepts::PiecewiseConstFormula< F >::operator()	(	const Connector &	cell,
		const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Gives the constant in an particular cell.

Implements concepts::PiecewiseFormulaBase< Real >.

Definition at line 100 of file formula.hh.

◆ operator()() [2/9]

template<typename F = Real>

virtual F concepts::PiecewiseConstFormula< F >::operator()	(	const Connector &	cell,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Implements concepts::PiecewiseFormulaBase< Real >.

Definition at line 104 of file formula.hh.

◆ operator()() [3/9]

template<typename F = Real>

virtual F concepts::PiecewiseConstFormula< F >::operator()	(	const Connector &	cell,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Implements concepts::PiecewiseFormulaBase< Real >.

Definition at line 117 of file formula.hh.

◆ operator()() [4/9]

virtual Real concepts::ElementFormula< Real , concepts::Realtype< Real >::type >::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

◆ operator()() [5/9]

virtual Real concepts::ElementFormula< Real , concepts::Realtype< Real >::type >::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

◆ operator()() [6/9]

virtual Real concepts::ElementFormula< Real , concepts::Realtype< Real >::type >::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

◆ operator()() [7/9]

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

inlinevirtualinherited

Definition at line 52 of file piecewiseFormula.hh.

◆ operator()() [8/9]

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

inlinevirtualinherited

Definition at line 57 of file piecewiseFormula.hh.

◆ operator()() [9/9]

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

inlinevirtualinherited

Definition at line 63 of file piecewiseFormula.hh.

◆ operator*=()

template<typename F >

template<class H >

PiecewiseConstFormula< F > & concepts::PiecewiseConstFormula< F >::operator*= ( const H & factor )

Definition at line 139 of file formula.hh.

◆ operator[]() [1/2]

template<typename F = Real>

virtual F& concepts::PiecewiseConstFormula< F >::operator[] ( const uint attrib )

virtual

Set the constant in an particular cell.

Parameters

cell	Cell the value is to set
value	Value
recursive	If flag is set all children get the same value.

◆ operator[]() [2/2]

template<typename F = Real>

virtual const F& concepts::PiecewiseConstFormula< F >::operator[] ( const uint attrib ) const

virtual

Member Data Documentation

◆ dflt_value_

Real concepts::PiecewiseFormulaBase< Real >::dflt_value_

privateinherited

default value

Definition at line 88 of file piecewiseFormula.hh.

◆ formula_

template<typename F = Real>

HashMap<F> concepts::PiecewiseConstFormula< F >::formula_

protected

Mapping from the elements on to the constants.

Definition at line 133 of file formula.hh.

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

geometry/formula.hh

concepts::PiecewiseConstFormula< F > Class Template Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

template<typename F = Real> class concepts::PiecewiseConstFormula< F >

Member Typedef Documentation

◆ G

◆ value_type

Constructor & Destructor Documentation

◆ PiecewiseConstFormula() [1/3]

◆ PiecewiseConstFormula() [2/3]

◆ PiecewiseConstFormula() [3/3]

◆ ~PiecewiseConstFormula()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ dflt_value() [1/2]

◆ dflt_value() [2/2]

◆ info()

◆ operator()() [1/9]

◆ operator()() [2/9]

◆ operator()() [3/9]

◆ operator()() [4/9]

◆ operator()() [5/9]

◆ operator()() [6/9]

◆ operator()() [7/9]

◆ operator()() [8/9]

◆ operator()() [9/9]

◆ operator*=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

Member Data Documentation

◆ dflt_value_

◆ formula_

template<typename F = Real>
class concepts::PiecewiseConstFormula< F >