Package org.hipparchus.analysis.integration

Class FieldMidPointIntegrator<T extends CalculusFieldElement<T>>

java.lang.Object

org.hipparchus.analysis.integration.BaseAbstractFieldUnivariateIntegrator<T>

org.hipparchus.analysis.integration.FieldMidPointIntegrator<T>

Type Parameters:

T - Type of the field elements.

All Implemented Interfaces:

FieldUnivariateIntegrator<T>

public class FieldMidPointIntegrator<T extends CalculusFieldElement<T>>
extends BaseAbstractFieldUnivariateIntegrator<T>

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:

2.0

Field Summary

Fields

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

Fields inherited from class org.hipparchus.analysis.integration.BaseAbstractFieldUnivariateIntegrator

DEFAULT_ABSOLUTE_ACCURACY, DEFAULT_MAX_ITERATIONS_COUNT, DEFAULT_MIN_ITERATIONS_COUNT, DEFAULT_RELATIVE_ACCURACY, iterations

Constructor Summary

Constructors

Constructor	Description
FieldMidPointIntegrator(Field<T> field)	Construct a midpoint integrator with default settings.
FieldMidPointIntegrator(Field<T> field, double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount)	Build a midpoint integrator with given accuracies and iterations counts.
FieldMidPointIntegrator(Field<T> field, int minimalIterationCount, int maximalIterationCount)	Build a midpoint integrator with given iteration counts.

Method Summary

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

Methods inherited from class org.hipparchus.analysis.integration.BaseAbstractFieldUnivariateIntegrator

computeObjectiveValue, getAbsoluteAccuracy, getEvaluations, getField, 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

Field Details

MIDPOINT_MAX_ITERATIONS_COUNT

public static final int MIDPOINT_MAX_ITERATIONS_COUNT

Maximum number of iterations for midpoint.

See Also:

• Constant Field Values

Constructor Details

FieldMidPointIntegrator

public FieldMidPointIntegrator(Field<T> field,
 double relativeAccuracy,
 double absoluteAccuracy,
 int minimalIterationCount,
 int maximalIterationCount)
                        throws MathIllegalArgumentException

Build a midpoint integrator with given accuracies and iterations counts.

Parameters:

field - field to which function argument and value belong

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:

MathIllegalArgumentException - if minimal number of iterations is not strictly positive

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

MathIllegalArgumentException - if maximal number of iterations is greater than MIDPOINT_MAX_ITERATIONS_COUNT

FieldMidPointIntegrator

public FieldMidPointIntegrator(Field<T> field,
 int minimalIterationCount,
 int maximalIterationCount)
                        throws MathIllegalArgumentException

Build a midpoint integrator with given iteration counts.

Parameters:

field - field to which function argument and value belong

minimalIterationCount - minimum number of iterations

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

Throws:

MathIllegalArgumentException - if minimal number of iterations is not strictly positive

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

MathIllegalArgumentException - if maximal number of iterations is greater than MIDPOINT_MAX_ITERATIONS_COUNT

FieldMidPointIntegrator

public FieldMidPointIntegrator(Field<T> field)

Construct a midpoint integrator with default settings.

Parameters:

field - field to which function argument and value belong (max iteration count set to MIDPOINT_MAX_ITERATIONS_COUNT)

Method Details

doIntegrate

protected T doIntegrate()
                 throws MathIllegalArgumentException,
MathIllegalStateException

Method for implementing actual integration algorithms in derived classes.

Specified by:

doIntegrate in class BaseAbstractFieldUnivariateIntegrator<T extends CalculusFieldElement<T>>

Returns:

the root.

Throws:

MathIllegalStateException - if the maximal number of evaluations is exceeded.

MathIllegalArgumentException