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## org.apache.commons.math.analysis.integration
Class SimpsonIntegrator

    java.lang.Object
      org.apache.commons.math.ConvergingAlgorithmImpl
          org.apache.commons.math.analysis.integration.UnivariateRealIntegratorImpl
              org.apache.commons.math.analysis.integration.SimpsonIntegrator

All Implemented Interfaces:
  UnivariateRealIntegrator, ConvergingAlgorithm

    public class SimpsonIntegrator

extends UnivariateRealIntegratorImpl

Implements the Simpson's Rule for integration of real univariate functions. For reference, see Introduction to Numerical Analysis, ISBN 038795452X, chapter 3.

This implementation employs basic trapezoid rule as building blocks to calculate the Simpson's rule of alternating 2/3 and 4/3.

Since:
  1.2
Version:
  $Revision: 1070725 $ $Date: 2011-02-15 02:31:12 +0100 (mar. 15 fÃ©vr. 2011) $

Field Summary

Fields inherited from class org.apache.commons.math.analysis.integration.UnivariateRealIntegratorImpl
`defaultMinimalIterationCount, f, minimalIterationCount, result, resultComputed`

Fields inherited from class org.apache.commons.math.ConvergingAlgorithmImpl
`absoluteAccuracy, defaultAbsoluteAccuracy, defaultMaximalIterationCount, defaultRelativeAccuracy, iterationCount, maximalIterationCount, relativeAccuracy`

Constructor Summary
`SimpsonIntegrator()` Construct an integrator.
`SimpsonIntegrator(UnivariateRealFunction f)` Deprecated. as of 2.0 the integrand function is passed as an argument to the `integrate(UnivariateRealFunction, double, double)`method.

Method Summary
`double` | `integrate(double min, double max)` Deprecated.
`double` | `integrate(UnivariateRealFunction f, double min, double max)` Integrate the function in the given interval.
`protected void` | `verifyIterationCount()` Verifies that the upper and lower limits of iterations are valid.

Methods inherited from class org.apache.commons.math.analysis.integration.UnivariateRealIntegratorImpl
`clearResult, getMinimalIterationCount, getResult, resetMinimalIterationCount, setMinimalIterationCount, setResult, verifyInterval`

Methods inherited from class org.apache.commons.math.ConvergingAlgorithmImpl
`getAbsoluteAccuracy, getIterationCount, getMaximalIterationCount, getRelativeAccuracy, incrementIterationsCounter, resetAbsoluteAccuracy, resetIterationsCounter, resetMaximalIterationCount, resetRelativeAccuracy, setAbsoluteAccuracy, setMaximalIterationCount, setRelativeAccuracy`

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

Methods inherited from interface org.apache.commons.math.ConvergingAlgorithm
`getAbsoluteAccuracy, getIterationCount, getMaximalIterationCount, getRelativeAccuracy, resetAbsoluteAccuracy, resetMaximalIterationCount, resetRelativeAccuracy, setAbsoluteAccuracy, setMaximalIterationCount, setRelativeAccuracy`

Constructor Detail

### SimpsonIntegrator

    @Deprecated
    public SimpsonIntegrator(UnivariateRealFunction f)

  Deprecated. as of 2.0 the integrand function is passed as an argument to the `integrate(UnivariateRealFunction, double, double)`method.

  Construct an integrator for the given function.

  Parameters:
    `f` - function to integrate

### SimpsonIntegrator

    public SimpsonIntegrator()

  Construct an integrator.

Method Detail

### integrate

    @Deprecated
    public double integrate(double min,
                                       double max)
                     throws MaxIterationsExceededException,
                            FunctionEvaluationException,
                            IllegalArgumentException

  Deprecated.

  Integrate the function in the given interval.

  Parameters:
    `min` - the lower bound for the interval
    `max` - the upper bound for the interval
  Returns:
    the value of integral
  Throws:
    `FunctionEvaluationException` - if an error occurs evaluating the function
    `IllegalArgumentException` - if min > max or the endpoints do not satisfy the requirements specified by the integrator
    `MaxIterationsExceededException`

### integrate

    public double integrate(UnivariateRealFunction f,
                            double min,
                            double max)
                     throws MaxIterationsExceededException,
                            FunctionEvaluationException,
                            IllegalArgumentException

  Integrate the function in the given interval.

  Parameters:
    `f` - the integrand function
    `min` - the lower bound for the interval
    `max` - the upper bound for the interval
  Returns:
    the value of integral
  Throws:
    `FunctionEvaluationException` - if an error occurs evaluating the function
    `IllegalArgumentException` - if min > max or the endpoints do not satisfy the requirements specified by the integrator
    `MaxIterationsExceededException`

### verifyIterationCount

    protected void verifyIterationCount()
                                 throws IllegalArgumentException

  Verifies that the upper and lower limits of iterations are valid.

  Overrides:
    `verifyIterationCount` in class `UnivariateRealIntegratorImpl`
  Throws:
    `IllegalArgumentException` - if not valid

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