Package org.hipparchus.analysis.integration.gauss

Class LegendreRuleFactory

java.lang.Object

org.hipparchus.analysis.integration.gauss.BaseRuleFactory<Double>

org.hipparchus.analysis.integration.gauss.LegendreRuleFactory

public class LegendreRuleFactory
extends BaseRuleFactory<Double>

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()

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.BaseRuleFactory

addRule, getRule, getRuleInternal

Methods inherited from class java.lang.Object

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

Constructor Detail

LegendreRuleFactory

public LegendreRuleFactory()

Method Detail

computeRule

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

Computes the rule for the given order.

Specified by:

computeRule in class BaseRuleFactory<Double>

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.