org.hipparchus.analysis.integration.gauss

Class FieldLegendreRuleFactory<T extends CalculusFieldElement<T>>

java.lang.Object

org.hipparchus.analysis.integration.gauss.FieldAbstractRuleFactory<T>

org.hipparchus.analysis.integration.gauss.FieldLegendreRuleFactory<T>

Type Parameters:

T - Type of the number used to represent the points and weights of the quadrature rules.

All Implemented Interfaces:

FieldRuleFactory<T>

public class FieldLegendreRuleFactory<T extends CalculusFieldElement<T>>
extends FieldAbstractRuleFactory<T>

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:

2.0

Constructor Summary

Constructors

Constructor and Description
FieldLegendreRuleFactory(Field<T> field) Simple constructor

Method Summary

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

Methods inherited from class org.hipparchus.analysis.integration.gauss.FieldAbstractRuleFactory

enforceSymmetry, findRoots, getField, getRule

Methods inherited from class java.lang.Object

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

Constructor Detail

FieldLegendreRuleFactory

public FieldLegendreRuleFactory(Field<T> field)

Simple constructor

Parameters:

field - field to which rule coefficients belong

Method Detail

computeRule

public Pair<T[],T[]> computeRule(int numberOfPoints)
                          throws MathIllegalArgumentException

Computes the rule for the given order.

Specified by:

computeRule in class FieldAbstractRuleFactory<T extends CalculusFieldElement<T>>

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.