Package org.apache.commons.math4.legacy.analysis.integration

Class TrapezoidIntegrator

java.lang.Object

org.apache.commons.math4.legacy.analysis.integration.BaseAbstractUnivariateIntegrator

org.apache.commons.math4.legacy.analysis.integration.TrapezoidIntegrator

All Implemented Interfaces:

UnivariateIntegrator

public class TrapezoidIntegrator
extends BaseAbstractUnivariateIntegrator

Implements the Trapezoid Rule for integration of real univariate functions. See Introduction to Numerical Analysis, ISBN 038795452X, chapter 3.

The function should be integrable.

Caveat: At each iteration, the algorithm refines the estimation by evaluating the function twice as many times as in the previous iteration; When specifying a maximum number of function evaluations, the caller must ensure that it is compatible with the requested minimal number of iterations.

Since:

1.2

Field Summary

Fields inherited from class org.apache.commons.math4.legacy.analysis.integration.BaseAbstractUnivariateIntegrator

DEFAULT_ABSOLUTE_ACCURACY, DEFAULT_MAX_ITERATIONS_COUNT, DEFAULT_MIN_ITERATIONS_COUNT, DEFAULT_RELATIVE_ACCURACY, iterations

Constructor Summary

Constructors

Constructor	Description
TrapezoidIntegrator()	Construct a trapezoid integrator with default settings.
TrapezoidIntegrator(double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount)	Build a trapezoid integrator with given accuracies and iterations counts.
TrapezoidIntegrator(int minimalIterationCount, int maximalIterationCount)	Build a trapezoid integrator with given iteration counts.

Method Summary

Modifier and Type	Method	Description
protected double	doIntegrate()	Method for implementing actual integration algorithms in derived classes.

Methods inherited from class org.apache.commons.math4.legacy.analysis.integration.BaseAbstractUnivariateIntegrator

computeObjectiveValue, getAbsoluteAccuracy, getEvaluations, getIterations, getMax, getMaximalIterationCount, getMin, getMinimalIterationCount, getRelativeAccuracy, integrate, setup

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

TrapezoidIntegrator

public TrapezoidIntegrator(double relativeAccuracy,
                           double absoluteAccuracy,
                           int minimalIterationCount,
                           int maximalIterationCount)

Build a trapezoid integrator with given accuracies and iterations counts.

Parameters:

relativeAccuracy - relative accuracy of the result

absoluteAccuracy - absolute accuracy of the result

minimalIterationCount - minimum number of iterations

maximalIterationCount - maximum number of iterations

Throws:

NotStrictlyPositiveException - if minimalIterationCount <= 0.

NumberIsTooSmallException - if maximalIterationCount < minimalIterationCount. is lesser than or equal to the minimal number of iterations

NumberIsTooLargeException - if maximalIterationCount > 30.

TrapezoidIntegrator

public TrapezoidIntegrator(int minimalIterationCount,
                           int maximalIterationCount)

Build a trapezoid integrator with given iteration counts.

Parameters:

minimalIterationCount - minimum number of iterations

maximalIterationCount - maximum number of iterations

Throws:

NotStrictlyPositiveException - if minimalIterationCount <= 0.

NumberIsTooSmallException - if maximalIterationCount < minimalIterationCount. is lesser than or equal to the minimal number of iterations

NumberIsTooLargeException - if maximalIterationCount > 30.

TrapezoidIntegrator

public TrapezoidIntegrator()

Construct a trapezoid integrator with default settings.

Method Detail

doIntegrate

protected double doIntegrate()

Method for implementing actual integration algorithms in derived classes.

Specified by:

doIntegrate in class BaseAbstractUnivariateIntegrator

Returns:

the root.