#include <pml_formula.h>

Inheritance diagram for concepts::FormulaNormalOuterSP2D< F >:

Public Types
typedef F	value_type

Public Member Functions
	FormulaNormalOuterSP2D (const ElementFormulaContainer< concepts::Point< F, 2 > > vf, Real2d center=Real2d(0, 0), bool direction=OUTER)

virtual FormulaNormalOuterSP2D *	clone () const
	Virtual copy constructor.

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

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

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

	FormulaNormalOuterSP2D (const ElementFormulaContainer< Point< F, 2 > > vf, Real2d center=Real2d(0, 0), bool direction=OUTER)

virtual FormulaNormalOuterSP2D *	clone () const
	Virtual copy constructor.

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

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

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

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

Public Attributes
const ElementFormulaContainer< concepts::Point< F, 2 > >	vf

Real2d	center

bool	direction

const ElementFormulaContainer< Point< F, 2 > >	vf

Static Public Attributes
static const bool	OUTER = true

static const bool	INNER = false

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

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

Detailed Description

template<class F>
class concepts::FormulaNormalOuterSP2D< F >

Computes the scalar product <n, vf> of the normal n with a vector valued formula vf, the result is a scalar formula in F. The normal is interpreted as the undirected normal of an Edge in the direction away from the specified center point.

important: this function should only be called with Cells of type Edge2d

Due to a current limitation of concepts, normals are not well-defined. This class solves this reliably for edges on the boundary of the computational domain, for edges in the interior this function produces non-reliable normal orientations.

Computes the scalar product <n, vf> of the normal n with a vector valued formula vf, the result is a scalar formula in F. The normal is interpreted as the undirected normal of an Edge in the direction away from the specified center point.

important: this function should only be called with Cells of type Edge2d

Due to a current limitation of concepts, normals are not well-defined. This class solves this reliably for edges on the boundary of the computational domain, for edges in the interior this function produces non-reliable normal orientations.

This class is kept for gfem

Definition at line 194 of file pml_formula.h.

Member Typedef Documentation

◆ 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

◆ FormulaNormalOuterSP2D() [1/2]

template<class F >

concepts::FormulaNormalOuterSP2D< F >::FormulaNormalOuterSP2D	(	const ElementFormulaContainer< concepts::Point< F, 2 > >	vf,
		Real2d	center = `Real2d(0,0)`,
		bool	direction = `OUTER`
	)

inline

Definition at line 200 of file pml_formula.h.

◆ FormulaNormalOuterSP2D() [2/2]

template<class F >

concepts::FormulaNormalOuterSP2D< F >::FormulaNormalOuterSP2D	(	const ElementFormulaContainer< Point< F, 2 > >	vf,
		Real2d	center = `Real2d(0,0)`,
		bool	direction = `OUTER`
	)

inline

Definition at line 229 of file sources.hh.

Member Function Documentation

◆ clone() [1/2]

template<class F >

virtual FormulaNormalOuterSP2D * concepts::FormulaNormalOuterSP2D< F >::clone ( ) const

inlinevirtual

Virtual copy constructor.

Implements concepts::ElementFormula< F, G >.

Definition at line 208 of file pml_formula.h.

◆ clone() [2/2]

template<class F >

virtual FormulaNormalOuterSP2D * concepts::FormulaNormalOuterSP2D< F >::clone ( ) const

inlinevirtual

Virtual copy constructor.

Implements concepts::ElementFormula< F, G >.

Definition at line 237 of file sources.hh.

◆ info() [1/2]

template<class F >

virtual std::ostream & concepts::FormulaNormalOuterSP2D< F >::info ( std::ostream & os ) const

inlineprotectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Definition at line 254 of file pml_formula.h.

◆ info() [2/2]

template<class F >

virtual std::ostream & concepts::FormulaNormalOuterSP2D< F >::info ( std::ostream & os ) const

inlineprotectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Definition at line 283 of file sources.hh.

◆ operator()() [1/9]

template<class F >

virtual F concepts::FormulaNormalOuterSP2D< F >::operator()	(	const concepts::ElementWithCell< Real > &	elm,
		const concepts::Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Definition at line 242 of file pml_formula.h.

◆ operator()() [2/9]

template<class F >

virtual F concepts::FormulaNormalOuterSP2D< F >::operator()	(	const concepts::ElementWithCell< Real > &	elm,
		const concepts::Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Definition at line 248 of file pml_formula.h.

◆ operator()() [3/9]

template<class F >

virtual F concepts::FormulaNormalOuterSP2D< F >::operator()	(	const concepts::ElementWithCell< Real > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Definition at line 212 of file pml_formula.h.

◆ operator()() [4/9]

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()() [5/9]

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()() [6/9]

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 >.

◆ operator()() [7/9]

template<class F >

virtual F concepts::FormulaNormalOuterSP2D< F >::operator()	(	const ElementWithCell< Real > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Definition at line 241 of file sources.hh.

◆ operator()() [8/9]

template<class F >

virtual F concepts::FormulaNormalOuterSP2D< F >::operator()	(	const ElementWithCell< Real > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Definition at line 271 of file sources.hh.

◆ operator()() [9/9]

template<class F >

virtual F concepts::FormulaNormalOuterSP2D< F >::operator()	(	const ElementWithCell< Real > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtual

Definition at line 277 of file sources.hh.

Member Data Documentation

◆ center

template<class F >

Real2d concepts::FormulaNormalOuterSP2D< F >::center

Definition at line 259 of file pml_formula.h.

◆ direction

template<class F >

bool concepts::FormulaNormalOuterSP2D< F >::direction

Definition at line 260 of file pml_formula.h.

◆ INNER

template<class F >

static const bool concepts::FormulaNormalOuterSP2D< F >::INNER = false

static

Definition at line 198 of file pml_formula.h.

◆ OUTER

template<class F >

static const bool concepts::FormulaNormalOuterSP2D< F >::OUTER = true

static

Definition at line 197 of file pml_formula.h.

◆ vf [1/2]

template<class F >

const ElementFormulaContainer< concepts::Point<F, 2> > concepts::FormulaNormalOuterSP2D< F >::vf

Definition at line 258 of file pml_formula.h.

◆ vf [2/2]

template<class F >

const ElementFormulaContainer< Point<F, 2> > concepts::FormulaNormalOuterSP2D< F >::vf

Definition at line 287 of file sources.hh.

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

applications/pml_formula.h
waveprop/sources.hh

Class documentation of Concepts

Public Types

Public Member Functions

Public Attributes

Static Public Attributes

Protected Member Functions

Detailed Description

Member Typedef Documentation

◆ value_type

Constructor & Destructor Documentation

◆ FormulaNormalOuterSP2D() [1/2]

◆ FormulaNormalOuterSP2D() [2/2]

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ info() [1/2]

◆ info() [2/2]

◆ 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]

Member Data Documentation

◆ center

◆ direction

◆ INNER

◆ OUTER

◆ vf [1/2]

◆ vf [2/2]