LegendreRuleFactory (Hipparchus 3.0 API)

java.lang.Object
- org.hipparchus.analysis.integration.gauss.AbstractRuleFactory
- - org.hipparchus.analysis.integration.gauss.LegendreRuleFactory

All Implemented Interfaces:

RuleFactory
```
public class LegendreRuleFactory
extends AbstractRuleFactory
```
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.

Constructor Summary

Constructors
Constructor Description

LegendreRuleFactory()
Empty constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`protected Pair<double[],double[]>`	`computeRule(int numberOfPoints)`	Computes the rule for the given order.

Methods inherited from class org.hipparchus.analysis.integration.gauss.AbstractRuleFactory
enforceSymmetry, findRoots, getRule

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - LegendreRuleFactory
```
public LegendreRuleFactory()
```
    Empty constructor.
    This constructor is not strictly necessary, but it prevents spurious javadoc warnings with JDK 18 and later.
    
    Since:
    
    3.0
- Method Detail
  - computeRule
```
protected Pair<double[],double[]> computeRule(int numberOfPoints)
                                             throws MathIllegalArgumentException
```
    Computes the rule for the given order.
    
    Specified by:
    
    computeRule in class AbstractRuleFactory
    
    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.