concepts::BesselY< n > Class Template Referenceabstract

Class for evaluating the Bessel function of second kind. More...

#include <bessel.hh>

Inheritance diagram for concepts::BesselY< n >:

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

Public Member Functions
	BesselY (const Real m, const Real3d r0)
	BesselY (const Real m=1.0, const Real r0=0.0)
	Constructor. More...
virtual BesselY< n > *	clone () const
virtual Formula *	clone () const=0
Real	derivative (const Real p)
	Derivative of Bessel function. More...
Real	derivative (const Real2d &p)
Real	derivative (const Real3d &p)
virtual Real	operator() (const Real p, const Real t=0.0) const
	Bessel function. 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...

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

Private Attributes
const Real	m_
	Factor. More...
const Real3d	r0_
	Center of the Bessel function. More...

Detailed Description

template<int n>
class concepts::BesselY< n >

Class for evaluating the Bessel function of second kind.

A center r0 and a shortening factor n can be given to evaluate

, where is the distance from the origin.

Author

(C) Copr. 1988-92 Numerical Recipes Software. Abramowitz and Stegun. Handbook of Mathematical Functions.

Definition at line 208 of file bessel.hh.

Member Typedef Documentation

G

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

inherited

Definition at line 37 of file formula.hh.

value_type

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

inherited

Definition at line 36 of file formula.hh.

Constructor & Destructor Documentation

BesselY() [1/2]

template<int n>

concepts::BesselY< n >::BesselY ( const Real  m = 1.0, const Real  r0 = 0.0  )

inline

Constructor.

Definition at line 211 of file bessel.hh.

BesselY() [2/2]

template<int n>

concepts::BesselY< n >::BesselY ( const Real  m, const Real3d  r0  )

inline

Definition at line 213 of file bessel.hh.

Member Function Documentation

clone() [1/2]

template<int n>

virtual BesselY<n>* concepts::BesselY< n >::clone ( ) const

inlinevirtual

Definition at line 224 of file bessel.hh.

clone() [2/2]

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

pure virtualinherited

derivative() [1/3]

template<int n>

Real concepts::BesselY< n >::derivative

(

const Real

p

)

Derivative of Bessel function.

Definition at line 252 of file bessel.hh.

derivative() [2/3]

template<int n>

Real concepts::BesselY< n >::derivative

(

const Real2d &

p

)

Definition at line 258 of file bessel.hh.

derivative() [3/3]

template<int n>

Real concepts::BesselY< n >::derivative

(

const Real3d &

p

)

Definition at line 264 of file bessel.hh.

info()

template<int n>

std::ostream & concepts::BesselY< n >::info ( std::ostream &  os ) const

protectedvirtual

Definition at line 270 of file bessel.hh.

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]

template<int n>

Real concepts::BesselY< n >::operator() ( const Real  p, const Real  t = 0.0  ) const

virtual

Bessel function.

Implements concepts::Formula< Real >.

Definition at line 237 of file bessel.hh.

operator()() [5/6]

template<int n>

Real concepts::BesselY< n >::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

Implements concepts::Formula< Real >.

Definition at line 242 of file bessel.hh.

operator()() [6/6]

template<int n>

Real concepts::BesselY< n >::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

Implements concepts::Formula< Real >.

Definition at line 247 of file bessel.hh.

Member Data Documentation

m_

template<int n>

const Real concepts::BesselY< n >::m_

private

Factor.

Definition at line 231 of file bessel.hh.

r0_

template<int n>

const Real3d concepts::BesselY< n >::r0_

private

Center of the Bessel function.

Definition at line 233 of file bessel.hh.

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

• formula/bessel.hh