org.apache.commons.math3.analysis.integration

Class MidPointIntegrator

java.lang.Object

org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator

org.apache.commons.math3.analysis.integration.MidPointIntegrator

All Implemented Interfaces:

UnivariateIntegrator

public class MidPointIntegrator
extends BaseAbstractUnivariateIntegrator

Implements the Midpoint Rule for integration of real univariate functions. For reference, see Numerical Mathematics, ISBN 0387989595, chapter 9.2.

The function should be integrable.

Since:

3.3

Field Summary

Fields

Modifier and Type	Field and Description
static int	MIDPOINT_MAX_ITERATIONS_COUNT Maximum number of iterations for midpoint.

Fields inherited from class org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator

DEFAULT_ABSOLUTE_ACCURACY, DEFAULT_MAX_ITERATIONS_COUNT, DEFAULT_MIN_ITERATIONS_COUNT, DEFAULT_RELATIVE_ACCURACY, iterations

Constructor Summary

Constructors

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

Method Summary

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

Methods inherited from class org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator

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

Methods inherited from class java.lang.Object

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

Field Detail

MIDPOINT_MAX_ITERATIONS_COUNT

public static final int MIDPOINT_MAX_ITERATIONS_COUNT

Maximum number of iterations for midpoint.

See Also:

Constant Field Values

Constructor Detail

MidPointIntegrator

public MidPointIntegrator(double relativeAccuracy,
                          double absoluteAccuracy,
                          int minimalIterationCount,
                          int maximalIterationCount)
                   throws NotStrictlyPositiveException,
                          NumberIsTooSmallException,
                          NumberIsTooLargeException

Build a midpoint 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 (must be less than or equal to MIDPOINT_MAX_ITERATIONS_COUNT

Throws:

NotStrictlyPositiveException - if minimal number of iterations is not strictly positive

NumberIsTooSmallException - if maximal number of iterations is lesser than or equal to the minimal number of iterations

NumberIsTooLargeException - if maximal number of iterations is greater than MIDPOINT_MAX_ITERATIONS_COUNT

MidPointIntegrator

public MidPointIntegrator(int minimalIterationCount,
                          int maximalIterationCount)
                   throws NotStrictlyPositiveException,
                          NumberIsTooSmallException,
                          NumberIsTooLargeException

Build a midpoint integrator with given iteration counts.

Parameters:

minimalIterationCount - minimum number of iterations

maximalIterationCount - maximum number of iterations (must be less than or equal to MIDPOINT_MAX_ITERATIONS_COUNT

Throws:

NotStrictlyPositiveException - if minimal number of iterations is not strictly positive

NumberIsTooSmallException - if maximal number of iterations is lesser than or equal to the minimal number of iterations

NumberIsTooLargeException - if maximal number of iterations is greater than MIDPOINT_MAX_ITERATIONS_COUNT

MidPointIntegrator

public MidPointIntegrator()

Construct a midpoint integrator with default settings. (max iteration count set to MIDPOINT_MAX_ITERATIONS_COUNT)

Method Detail

doIntegrate

protected double doIntegrate()
                      throws MathIllegalArgumentException,
                             TooManyEvaluationsException,
                             MaxCountExceededException

Method for implementing actual integration algorithms in derived classes.

Specified by:

doIntegrate in class BaseAbstractUnivariateIntegrator

Returns:

the root.

Throws:

TooManyEvaluationsException - if the maximal number of evaluations is exceeded.

MaxCountExceededException - if the maximum iteration count is exceeded or the integrator detects convergence problems otherwise

MathIllegalArgumentException