org.apache.commons.math3.analysis.integration.gauss
Class LegendreRuleFactory

java.lang.Object
  org.apache.commons.math3.analysis.integration.gauss.BaseRuleFactory<Double>
      org.apache.commons.math3.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 .

Since:

3.1

Version:

$Id: LegendreRuleFactory.java 7721 2013-02-14 14:07:13Z CardosoP $

Constructor Summary

LegendreRuleFactory()

Method Summary

protected Pair<Double[],Double[]>

computeRule(int numberOfPoints) Computes the rule for the given order.

Methods inherited from class org.apache.commons.math3.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 NotStrictlyPositiveException

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:

NotStrictlyPositiveException