org.apache.commons.math.analysis.integration

## Class RombergIntegrator

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

All Implemented Interfaces:
  UnivariateRealIntegrator, ConvergingAlgorithm

    public class RombergIntegrator
    extends UnivariateRealIntegratorImpl

Implements the Romberg Algorithm for integration of real univariate functions. For reference, see Introduction to Numerical Analysis, ISBN 038795452X, chapter 3.

Romberg integration employs k successive refinements of the trapezoid rule to remove error terms less than order O(N^(-2k)). Simpson's rule is a special case of k = 2.

Since:
  1.2
Version:
  $Revision: 1070725 $ $Date: 2011-02-15 02:31:12 +0100 (mar. 15 févr. 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

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

### Method Summary

Methods
`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

#### RombergIntegrator

    @Deprecated
    public RombergIntegrator(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

#### RombergIntegrator

    public RombergIntegrator()

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