apfel::Integrator2D Class Reference

The Integrator2D class performs two-dimensional numerical integrations using the Guassian quadrature. More...

#include <integrator2d.h>

Constructors
List of constructors.
std::function< double(double const &, double const &)> cons	_func )
	The integrand function.
Integrator::IntegrationMethod const	_method
	The integration method.
	Integrator2D (std::function< double(double const &, double const &)> const &func, Integrator::IntegrationMethod const &method=Integrator::GAUSS_KRONROD)
	The Integrator constructor.
double	integrate (double const &xmin, double const &xmax, double const &ymin, double const &ymax, double const &eps) const
	Function that integrates the integrand with a given relative accuracy using the method defined in the constructor.
std::pair< double, double >	integrateGL (double const &xmin, double const &xmax, double const &ymin, double const &ymax) const
	Function that integrates the integrand with a using the 8x8 and 16x16 Gauss-Legendre method.
std::pair< double, double >	integrateGK (double const &xmin, double const &xmax, double const &ymin, double const &ymax) const
	Function that integrates the integrand with a using the 7x7 and 15x15 Gauss-Kronrod method.
double	integrand (double const &x, double const &y) const
	Function for the integrand.

Detailed Description

The Integrator2D class performs two-dimensional numerical integrations using the Guassian quadrature.

Examples

integrator_test.cc.

Constructor & Destructor Documentation

Integrator2D()

apfel::Integrator2D::Integrator2D	(	std::function< double(double const &, double const &)> const &	func,
		Integrator::IntegrationMethod const &	method = Integrator::GAUSS_KRONROD )

The Integrator constructor.

Parameters

func	The function of two variables to be integrated
method	The integration method to be used (default: GAUSS_KRONROD)

Member Function Documentation

integrand()

double apfel::Integrator2D::integrand ( double const & x, double const & y ) const

inline

Function for the integrand.

Parameters

x	the first variable
y	the second variable

Returns

the integrand evaluated at x and y

integrate()

double apfel::Integrator2D::integrate	(	double const &	xmin,
		double const &	xmax,
		double const &	ymin,
		double const &	ymax,
		double const &	eps ) const

Function that integrates the integrand with a given relative accuracy using the method defined in the constructor.

Parameters

xmin	the lower bound integration bound for the first variable
xmax	the upper bound integration bound for the first variable
ymin	the lower bound integration bound for the second variable
ymax	the upper bound integration bound for the second variable
eps	the required relative accuracy

Returns

the value of the integral

integrateGK()

std::pair< double, double > apfel::Integrator2D::integrateGK	(	double const &	xmin,
		double const &	xmax,
		double const &	ymin,
		double const &	ymax ) const

Function that integrates the integrand with a using the 7x7 and 15x15 Gauss-Kronrod method.

Parameters

xmin	the lower bound integration bound for the first variable
xmax	the upper bound integration bound for the first variable
ymin	the lower bound integration bound for the second variable
ymax	the upper bound integration bound for the second variable

Returns

a pair containing the value of the integral computed with the 15x15 method and the relative difference w.r.t. the 7x7 one.

integrateGL()

std::pair< double, double > apfel::Integrator2D::integrateGL	(	double const &	xmin,
		double const &	xmax,
		double const &	ymin,
		double const &	ymax ) const

Function that integrates the integrand with a using the 8x8 and 16x16 Gauss-Legendre method.

Parameters

xmin	the lower bound integration bound for the first variable
xmax	the upper bound integration bound for the first variable
ymin	the lower bound integration bound for the second variable
ymax	the upper bound integration bound for the second variable

Returns

a pair containing the value of the integral computed with the 16x16 method and the relative difference w.r.t. the 8x8 one.

Member Data Documentation

_func

std::function<double(double const&, double const&)> cons apfel::Integrator2D::_func)

private

The integrand function.

_method

Integrator::IntegrationMethod const apfel::Integrator2D::_method

private

The integration method.

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

• /Users/vb262523/Codes/apfelxx/inc/apfel/integrator2d.h