Package org.hipparchus.analysis.integration.gauss

Class LegendreRuleFactory

java.lang.Object

org.hipparchus.analysis.integration.gauss.AbstractRuleFactory

org.hipparchus.analysis.integration.gauss.LegendreRuleFactory

All Implemented Interfaces:

RuleFactory

public class LegendreRuleFactory
extends AbstractRuleFactory

Factory that creates Gauss-type quadrature rule using Legendre polynomials. In this implementation, the lower and upper bounds of the natural interval of integration are -1 and 1, respectively. The Legendre polynomials are evaluated using the recurrence relation presented in Abramowitz and Stegun, 1964.

Constructor Summary

Constructors

Constructor	Description
LegendreRuleFactory()	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

LegendreRuleFactory

public LegendreRuleFactory()

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.