Package org.apache.commons.math4.analysis.integration.gauss

Class LegendreRuleFactory

java.lang.Object

org.apache.commons.math4.analysis.integration.gauss.BaseRuleFactory<java.lang.Double>

org.apache.commons.math4.analysis.integration.gauss.LegendreRuleFactory

public class LegendreRuleFactory
extends BaseRuleFactory<java.lang.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.

Since:

3.1

Constructor Summary

Constructors

Constructor	Description
LegendreRuleFactory()

Method Summary

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

Methods inherited from class org.apache.commons.math4.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 Details

LegendreRuleFactory

public LegendreRuleFactory()

Method Details

computeRule

protected Pair<java.lang.Double[],java.lang.Double[]> computeRule(int numberOfPoints) throws DimensionMismatchException

Computes the rule for the given order.

Specified by:

computeRule in class BaseRuleFactory<java.lang.Double>

Parameters:

numberOfPoints - Order of the rule to be computed.

Returns:

the computed rule.

Throws:

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