Package org.hipparchus.analysis.integration.gauss

Class GaussIntegratorFactory

java.lang.Object

org.hipparchus.analysis.integration.gauss.GaussIntegratorFactory

public class GaussIntegratorFactory
extends Object

Class that provides different ways to compute the nodes and weights to be used by the Gaussian integration rule.

Constructor Summary

Constructors

Constructor	Description
GaussIntegratorFactory()

Method Summary

Modifier and Type	Method	Description
SymmetricGaussIntegrator	hermite(int numberOfPoints)	Creates a Gauss-Hermite integrator of the given order.
GaussIntegrator	laguerre(int numberOfPoints)	Creates a Gauss-Laguerre integrator of the given order.
GaussIntegrator	legendre(int numberOfPoints)	Creates a Gauss-Legendre integrator of the given order.
GaussIntegrator	legendre(int numberOfPoints, double lowerBound, double upperBound)	Creates a Gauss-Legendre integrator of the given order.
GaussIntegrator	legendreHighPrecision(int numberOfPoints)	Creates a Gauss-Legendre integrator of the given order.
GaussIntegrator	legendreHighPrecision(int numberOfPoints, double lowerBound, double upperBound)	Creates an integrator of the given order, and whose call to the integrate method will perform an integration on the given interval.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

GaussIntegratorFactory

public GaussIntegratorFactory()

Method Detail

laguerre

public GaussIntegrator laguerre(int numberOfPoints)

Creates a Gauss-Laguerre integrator of the given order. The call to the integrate method will perform an integration on the interval \([0, +\infty)\): the computed value is the improper integral of \(e^{-x} f(x)\) where \(f(x)\) is the function passed to the integrate method.

Parameters:

numberOfPoints - Order of the integration rule.

Returns:

a Gauss-Legendre integrator.

legendre

public GaussIntegrator legendre(int numberOfPoints)

Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the natural interval [-1 , 1].

Parameters:

numberOfPoints - Order of the integration rule.

Returns:

a Gauss-Legendre integrator.

legendre

public GaussIntegrator legendre(int numberOfPoints,
                                double lowerBound,
                                double upperBound)
                         throws MathIllegalArgumentException

Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the given interval.

Parameters:

numberOfPoints - Order of the integration rule.

lowerBound - Lower bound of the integration interval.

upperBound - Upper bound of the integration interval.

Returns:

a Gauss-Legendre integrator.

Throws:

MathIllegalArgumentException - if number of points is not positive

legendreHighPrecision

public GaussIntegrator legendreHighPrecision(int numberOfPoints)
                                      throws MathIllegalArgumentException

Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the natural interval [-1 , 1].

Parameters:

numberOfPoints - Order of the integration rule.

Returns:

a Gauss-Legendre integrator.

Throws:

MathIllegalArgumentException - if number of points is not positive

legendreHighPrecision

public GaussIntegrator legendreHighPrecision(int numberOfPoints,
                                             double lowerBound,
                                             double upperBound)
                                      throws MathIllegalArgumentException

Creates an integrator of the given order, and whose call to the integrate method will perform an integration on the given interval.

Parameters:

numberOfPoints - Order of the integration rule.

lowerBound - Lower bound of the integration interval.

upperBound - Upper bound of the integration interval.

Returns:

a Gauss-Legendre integrator.

Throws:

MathIllegalArgumentException - if number of points is not positive

hermite

public SymmetricGaussIntegrator hermite(int numberOfPoints)

Creates a Gauss-Hermite integrator of the given order. The call to the integrate method will perform a weighted integration on the interval \([-\infty, +\infty]\): the computed value is the improper integral of \(e^{-x^2}f(x)\) where \(f(x)\) is the function passed to the integrate method.

Parameters:

numberOfPoints - Order of the integration rule.

Returns:

a Gauss-Hermite integrator.