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

java.lang.Object
  extended by org.apache.commons.math3.analysis.integration.gauss.BaseRuleFactory<Double>
      extended by 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 1382197 2012-09-07 22:35:01Z erans $

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


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