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

## Class LegendreRuleFactory

- java.lang.Object
- - org.apache.commons.math3.analysis.integration.gauss.BaseRuleFactory<Double>
  - - 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 Abramowitz and Stegun, 1964.
  Since:
    3.1

- - ### Constructor Summary

    Constructors
    Constructor and Description
    `LegendreRuleFactory()`

  - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `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 DimensionMismatchException

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

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