Package 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

Constructor Summary

Constructors

Constructor	Description
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

Modifier and Type	Method	Description
double	integrate(double min, double max)	Deprecated.
double	integrate(UnivariateRealFunction f, double min, double max)	Integrate the function in the given interval.

Methods inherited from class org.apache.commons.math.analysis.integration.UnivariateRealIntegratorImpl

getMinimalIterationCount, getResult, resetMinimalIterationCount, setMinimalIterationCount

Methods inherited from class org.apache.commons.math.ConvergingAlgorithmImpl

getAbsoluteAccuracy, getIterationCount, getMaximalIterationCount, getRelativeAccuracy, resetAbsoluteAccuracy, resetMaximalIterationCount, resetRelativeAccuracy, setAbsoluteAccuracy, setMaximalIterationCount, setRelativeAccuracy

Methods inherited from class java.lang.Object

equals, 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 Details

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 Details

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