Formula in spherical polar coordinates. More...

#include <sphericalFormula.hh>

Inheritance diagram for concepts::SphericalFormula< Real >:

Public Types
typedef Realtype< Real >::type	G

typedef concepts::Sequence< std::pair< std::string, std::string > >	RepSeq

typedef Real	value_type

Public Member Functions
virtual SphericalFormula< Real > *	clone () const

virtual Formula *	clone () const=0

virtual Real	operator() (const Real p, const Real t=0.0) const
	Application operator. More...

virtual Real	operator() (const Real2d &p, const Real t=0.0) const
	Application operator. More...

virtual Real	operator() (const Real3d &p, const Real t=0.0) const
	Application operator. More...

void	set (const std::string formula, uint i=0, RepSeq rep=RepSeq())
	Sets the `i` th formula. More...

	SphericalFormula (const SphericalFormula &frm)
	Copy Constructor. More...

	SphericalFormula (const std::string formula)
	Constructor. More...

virtual	~SphericalFormula ()


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...


virtual Real	operator() (const Connector &cntr, const Real p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real2d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

virtual Real	operator() (const Connector &cntr, const Real3d &p, const Real t=0.0) const
	Convenience implementation, that by default ignores its elm param. More...

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

Real	process_ (const Real3d &p, const Real t=0.0, uint i=0) const
	Processing the `i` th formula (with time-dependency variable) More...

Protected Attributes
std::string	formula_ [dim]
	The original formula. More...

Private Attributes
uint	len_ [dim]
	Length of the parsed formula More...

Array< uchar >	pgm_ [dim]
	The parsed formula. More...

Detailed Description

Formula in spherical polar coordinates.

In such a formula, x has the meaning of the radius, y has the meaning of the angle phi and z has the meaning of the angle theta. The input parameters of the application operators has to be given in Kartesian coordinates.

$r^2 = x^2 + y^2 + z^2, \tan \phi = \frac{y}{x}, \cos \theta = \frac{z}{r},$

where $\phi \in (-\pi, \pi)$ and $\theta \in (0,\pi)$ .

Author: Philipp Frauenfelder, 2002, Robert 2013

Definition at line 33 of file sphericalFormula.hh.

Member Typedef Documentation

◆ G

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

inherited

Definition at line 37 of file formula.hh.

◆ RepSeq

typedef concepts::Sequence<std::pair<std::string,std::string> > concepts::ParsedFormulaBase< dim >::RepSeq

inherited

Definition at line 62 of file parsedFormula.hh.

◆ value_type

typedef Real concepts::Formula< Real >::value_type

inherited

Definition at line 36 of file formula.hh.

Constructor & Destructor Documentation

◆ SphericalFormula() [1/2]

concepts::SphericalFormula< Real >::SphericalFormula ( const std::string formula )

inline

Constructor.

Definition at line 36 of file sphericalFormula.hh.

◆ SphericalFormula() [2/2]

concepts::SphericalFormula< Real >::SphericalFormula ( const SphericalFormula< Real > & frm )

inline

Copy Constructor.

Definition at line 38 of file sphericalFormula.hh.

◆ ~SphericalFormula()

virtual concepts::SphericalFormula< Real >::~SphericalFormula ( )

virtual

Member Function Documentation

◆ clone() [1/2]

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

virtual

Reimplemented from concepts::ParsedFormula< Real >.

◆ clone() [2/2]

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

pure virtualinherited

◆ info()

virtual std::ostream& concepts::SphericalFormula< Real >::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::ParsedFormula< Real >.

◆ operator()() [1/6]

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

inlinevirtualinherited

Convenience implementation, that by default ignores its elm param.

Definition at line 53 of file formula.hh.

◆ operator()() [2/6]

virtual Real concepts::Formula< Real >::operator()	(	const Connector &	cntr,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Convenience implementation, that by default ignores its elm param.

Definition at line 56 of file formula.hh.

◆ operator()() [3/6]

virtual Real concepts::Formula< Real >::operator()	(	const Connector &	cntr,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

inlinevirtualinherited

Convenience implementation, that by default ignores its elm param.

Definition at line 59 of file formula.hh.

◆ operator()() [4/6]

virtual Real concepts::SphericalFormula< Real >::operator()	(	const Real	p,
		const Real	t = `0.0`
	)		const

virtual

Application operator.

Evaluates the formula.

Parameters

p	Point in space
t	Point in time

Reimplemented from concepts::ParsedFormula< Real >.

◆ operator()() [5/6]

virtual Real concepts::SphericalFormula< Real >::operator()	(	const Real2d &	p,
		const Real	t = `0.0`
	)		const

virtual

Application operator.

Evaluates the formula.

Parameters

p	Point in space
t	Point in time

Reimplemented from concepts::ParsedFormula< Real >.

◆ operator()() [6/6]

virtual Real concepts::SphericalFormula< Real >::operator()	(	const Real3d &	p,
		const Real	t = `0.0`
	)		const

virtual

Application operator.

Evaluates the formula.

Parameters

p	Point in space
t	Point in time

Reimplemented from concepts::ParsedFormula< Real >.

◆ process_()

Real concepts::ParsedFormulaBase< dim >::process_	(	const Real3d &	p,
		const Real	t = `0.0`,
		uint	i = `0`
	)		const

protectedinherited

Processing the i th formula (with time-dependency variable)

◆ set()

void concepts::ParsedFormulaBase< dim >::set	(	const std::string	formula,
		uint	i = `0`,
		RepSeq	rep = `RepSeq()`
	)

inherited

Sets the i th formula.

Member Data Documentation

◆ formula_

std::string concepts::ParsedFormulaBase< dim >::formula_[dim]

protectedinherited

The original formula.

Definition at line 85 of file parsedFormula.hh.

◆ len_

uint concepts::ParsedFormulaBase< dim >::len_[dim]

privateinherited

Length of the parsed formula

Definition at line 90 of file parsedFormula.hh.

◆ pgm_

Array<uchar> concepts::ParsedFormulaBase< dim >::pgm_[dim]

privateinherited

The parsed formula.

Definition at line 88 of file parsedFormula.hh.

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

formula/sphericalFormula.hh

concepts::SphericalFormula< Real > Class Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

Member Typedef Documentation

◆ G

◆ RepSeq

◆ value_type

Constructor & Destructor Documentation

◆ SphericalFormula() [1/2]

◆ SphericalFormula() [2/2]

◆ ~SphericalFormula()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ info()

◆ operator()() [1/6]

◆ operator()() [2/6]

◆ operator()() [3/6]

◆ operator()() [4/6]

◆ operator()() [5/6]

◆ operator()() [6/6]

◆ process_()

◆ set()

Member Data Documentation

◆ formula_

◆ len_

◆ pgm_