concepts::LaguerreBasis< mode > Class Template Reference

Polynomial functions which gives a basis of the semi-infinite intervals after multiplication with factor

. More...

#include <laguerre.hh>

Inheritance diagram for concepts::LaguerreBasis< mode >:

Collaboration diagram for concepts::LaguerreBasis< mode >:

List of all members.

Public Member Functions
	LaguerreBasis (const int P, const Real *xP, const int NxP)
	Constructor.
uint	n () const
	Returns the number of shape functions.
uint	nP () const
	Returns the number of abscissas (in which the shape functions are evaluated)
const Real *	values () const
	Returns the values of the shape functions.
	~LaguerreBasis ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
Real *	values_
	Values of the shape functions.

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Detailed Description

template<int mode>
class concepts::LaguerreBasis< mode >

Polynomial functions which gives a basis of the semi-infinite intervals after multiplication with factor

.

The polynomials are defined by

where are the Laguerre polynomials.

It is and for all higher functions.

The class holds all functions up to a maximal index .

Parameters:

mode	Template parameter: normal, derivatives. Can take the values 0 -- normal, 1 -- derivatives.

Author:

Kersten Schmidt, 2009

Definition at line 65 of file laguerre.hh.

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Constructor & Destructor Documentation

template<int mode>

concepts::LaguerreBasis< mode >::LaguerreBasis	(	const int	P,
		const Real *	xP,
		const int	NxP
	)

Constructor.

Parameters:

P	Highest order of the function, begin with 1
xP	Points in [0,inf)
NxP	Number of points

template<int mode>

concepts::LaguerreBasis< mode >::~LaguerreBasis

(

)

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Member Function Documentation

template<int mode>

virtual std::ostream& concepts::LaguerreBasis< mode >::info

(

std::ostream &

os

)

const [protected, virtual]

Returns information in an output stream.

Implements concepts::ShapeFunction1D< Real >.

uint concepts::ShapeFunction1D< Real >::n

(

)

const [inline, inherited]

Returns the number of shape functions.

Definition at line 33 of file shapefunction.hh.

uint concepts::ShapeFunction1D< Real >::nP

(

)

const [inline, inherited]

Returns the number of abscissas (in which the shape functions are evaluated)

Definition at line 36 of file shapefunction.hh.

const Real * concepts::ShapeFunction1D< Real >::values

(

)

const [inline, inherited]

Returns the values of the shape functions.

Definition at line 38 of file shapefunction.hh.

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Member Data Documentation

Real * concepts::ShapeFunction1D< Real >::values_ [protected, inherited]

Values of the shape functions.

Definition at line 43 of file shapefunction.hh.

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

• integration/laguerre.hh