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

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

public class LegendreHighPrecisionRuleFactory
extends BaseRuleFactory<BigDecimal>

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: LegendreHighPrecisionRuleFactory.java 1455194 2013-03-11 15:45:54Z luc $

Field Summary

private MathContext	mContext Settings for enhanced precision computations.
private BigDecimal	minusOne The number -1.
private BigDecimal	oneHalf The number 0.5.
private BigDecimal	two The number 2.

Constructor Summary

LegendreHighPrecisionRuleFactory()
Default precision is DECIMAL128.

LegendreHighPrecisionRuleFactory(MathContext mContext)

Method Summary

protected Pair<BigDecimal[],BigDecimal[]>

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

Field Detail

mContext

private final MathContext mContext

Settings for enhanced precision computations.

two

private final BigDecimal two

The number 2.

minusOne

private final BigDecimal minusOne

The number -1.

oneHalf

private final BigDecimal oneHalf

The number 0.5.

Constructor Detail

LegendreHighPrecisionRuleFactory

public LegendreHighPrecisionRuleFactory()

Default precision is DECIMAL128.

LegendreHighPrecisionRuleFactory

public LegendreHighPrecisionRuleFactory(MathContext mContext)

Parameters:

mContext - Precision setting for computing the quadrature rules.

Method Detail

computeRule

protected Pair<BigDecimal[],BigDecimal[]> computeRule(int numberOfPoints)
                                               throws DimensionMismatchException

Computes the rule for the given order.

Specified by:

computeRule in class BaseRuleFactory<BigDecimal>

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.