FilonIntegral Class Reference

Integral of a one-dimensional function. More...

#include <filonintegral.hpp>

Inheritance diagram for FilonIntegral:

Collaboration diagram for FilonIntegral:

Public Types
enum	Type { Sine , Cosine }

Public Member Functions
	FilonIntegral (Type type, Real t, Size intervals)
Public Member Functions inherited from Integrator
	Integrator (Real absoluteAccuracy, Size maxEvaluations)
virtual	~Integrator ()=default
Real	operator() (const ext::function< Real(Real)> &f, Real a, Real b) const
void	setAbsoluteAccuracy (Real)
void	setMaxEvaluations (Size)
Real	absoluteAccuracy () const
Size	maxEvaluations () const
Real	absoluteError () const
Size	numberOfEvaluations () const
virtual bool	integrationSuccess () const

Protected Member Functions
Real	integrate (const ext::function< Real(Real)> &f, Real a, Real b) const override
Protected Member Functions inherited from Integrator
void	setAbsoluteError (Real error) const
void	setNumberOfEvaluations (Size evaluations) const
void	increaseNumberOfEvaluations (Size increase) const

Private Attributes
const Type	type_
const Real	t_
const Size	intervals_
const Size	n_

Detailed Description

Integral of a one-dimensional function.

Given a number \( N \) of intervals, the integral of a function \( f \) between \( a \) and \( b \) is calculated by means of Filon's sine and cosine integrals

References: Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 890-891, 1972.

Tests:

the correctness of the result is tested by checking it against known good values.

Definition at line 46 of file filonintegral.hpp.

Member Enumeration Documentation

Type

enum Type

Enumerator
Sine
Cosine

Definition at line 48 of file filonintegral.hpp.

Constructor & Destructor Documentation

FilonIntegral()

FilonIntegral	(	Type	type,
		Real	t,
		Size	intervals
	)

Definition at line 33 of file filonintegral.cpp.

Member Function Documentation

integrate()

Real integrate ( const ext::function< Real(Real)> &  f, Real  a, Real  b  ) const

overrideprotectedvirtual

Implements Integrator.

Definition at line 42 of file filonintegral.cpp.

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Member Data Documentation

type_

const Type type_

private

Definition at line 55 of file filonintegral.hpp.

t_

const Real t_

private

Definition at line 56 of file filonintegral.hpp.

intervals_

const Size intervals_

private

Definition at line 57 of file filonintegral.hpp.

n_

const Size n_

private

Definition at line 57 of file filonintegral.hpp.