npstat::FejerQuadrature Class Reference

#include <FejerQuadrature.hh>

Inheritance diagram for npstat::FejerQuadrature:

Public Types
enum	{ interval_quadrature = 1 }

Public Member Functions
	FejerQuadrature (unsigned npoints)
unsigned	npoints () const
void	getAllAbscissae (long double *abscissae, unsigned len) const
void	getAllWeights (long double *weights, unsigned len) const
template<typename FcnResult , typename FcnArg >
long double	integrate (const Functor1< FcnResult, FcnArg > &fcn, long double a, long double b) const
Public Member Functions inherited from npstat::AbsIntervalQuadrature1D
template<class Functor >
std::vector< std::pair< double, double > >	weightedIntegrationPoints (const Functor &weight, const long double left, const long double right) const
template<class Functor >
std::vector< std::pair< long double, long double > >	weightedIntegrationPointsLD (const Functor &weight, const long double left, const long double right) const

Static Public Member Functions
static unsigned	minimalExactRule (unsigned polyDegree)

Detailed Description

Fejer quadrature. Internally, operations are performed in long double precision.

Member Function Documentation

getAllAbscissae()

void npstat::FejerQuadrature::getAllAbscissae ( long double *  abscissae, unsigned  len  ) const

virtual

The abscissae of the integration rule. The buffer length should be at least npoints.

Implements npstat::AbsIntervalQuadrature1D.

getAllWeights()

void npstat::FejerQuadrature::getAllWeights ( long double *  weights, unsigned  len  ) const

virtual

The weights of the integration rule. The buffer length should be at least npoints.

Implements npstat::AbsIntervalQuadrature1D.

integrate()

template<typename FcnResult , typename FcnArg >

long double npstat::FejerQuadrature::integrate	(	const Functor1< FcnResult, FcnArg > &	fcn,
		long double	a,
		long double	b
	)		const

Perform the quadrature on [a, b] interval

minimalExactRule()

static unsigned npstat::FejerQuadrature::minimalExactRule ( unsigned  polyDegree )

static

Minimum number of points which integrates a polynomial with the given degree exactly

npoints()

unsigned npstat::FejerQuadrature::npoints ( ) const

inlinevirtual

Return the number of quadrature points

Implements npstat::AbsIntervalQuadrature1D.

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

• nm/FejerQuadrature.hh