Package org.hipparchus.analysis.integration.gauss

Class HermiteRuleFactory

java.lang.Object

org.hipparchus.analysis.integration.gauss.AbstractRuleFactory

org.hipparchus.analysis.integration.gauss.HermiteRuleFactory

All Implemented Interfaces:

RuleFactory

public class HermiteRuleFactory
extends AbstractRuleFactory

Factory that creates a Gauss-type quadrature rule using Hermite polynomials of the first kind. Such a quadrature rule allows the calculation of improper integrals of a function

\(f(x) e^{-x^2}\)

Recurrence relation and weights computation follow Abramowitz and Stegun, 1964.

Constructor Summary

Constructors

Constructor	Description
HermiteRuleFactory()	Empty constructor.

Method Summary

Modifier and Type	Method	Description
protected Pair<double[],double[]>	computeRule(int numberOfPoints)	Computes the rule for the given order.

Methods inherited from class org.hipparchus.analysis.integration.gauss.AbstractRuleFactory

enforceSymmetry, findRoots, getRule

Methods inherited from class java.lang.Object

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

Constructor Details

HermiteRuleFactory

public HermiteRuleFactory()

Empty constructor.

This constructor is not strictly necessary, but it prevents spurious javadoc warnings with JDK 18 and later.

Since:

3.0

Method Details

computeRule

protected Pair<double[],double[]> computeRule(int numberOfPoints)
                                       throws MathIllegalArgumentException

Computes the rule for the given order.

Specified by:

computeRule in class AbstractRuleFactory

Parameters:

numberOfPoints - Order of the rule to be computed.

Returns:

the computed rule.

Throws:

MathIllegalArgumentException - if the elements of the pair do not have the same length.