Package org.hipparchus.analysis.integration

Class IterativeLegendreFieldGaussIntegrator<T extends CalculusFieldElement<T>>

java.lang.Object

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

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

Type Parameters:

T - Type of the field elements.

All Implemented Interfaces:

FieldUnivariateIntegrator<T>

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

This algorithm divides the integration interval into equally-sized sub-interval and on each of them performs a Legendre-Gauss quadrature. Because of its non-adaptive nature, this algorithm can converge to a wrong value for the integral (for example, if the function is significantly different from zero toward the ends of the integration interval). In particular, a change of variables aimed at estimating integrals over infinite intervals as proposed here should be avoided when using this class.

Since:

2.0

Field Summary

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
IterativeLegendreFieldGaussIntegrator(Field<T> field, int n, double relativeAccuracy, double absoluteAccuracy)	Builds an integrator with given accuracies.
IterativeLegendreFieldGaussIntegrator(Field<T> field, int n, double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount)	Builds an integrator with given accuracies and iterations counts.
IterativeLegendreFieldGaussIntegrator(Field<T> field, int n, int minimalIterationCount, int maximalIterationCount)	Builds an 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

Constructor Detail

IterativeLegendreFieldGaussIntegrator

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

Builds an integrator with given accuracies and iterations counts.

Parameters:

field - field to which function argument and value belong

n - Number of integration points.

relativeAccuracy - Relative accuracy of the result.

absoluteAccuracy - Absolute accuracy of the result.

minimalIterationCount - Minimum number of iterations.

maximalIterationCount - Maximum number of iterations.

Throws:

MathIllegalArgumentException - if minimal number of iterations or number of points are not strictly positive.

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

IterativeLegendreFieldGaussIntegrator

public IterativeLegendreFieldGaussIntegrator(Field<T> field,
                                             int n,
                                             double relativeAccuracy,
                                             double absoluteAccuracy)
                                      throws MathIllegalArgumentException

Builds an integrator with given accuracies.

Parameters:

field - field to which function argument and value belong

n - Number of integration points.

relativeAccuracy - Relative accuracy of the result.

absoluteAccuracy - Absolute accuracy of the result.

Throws:

MathIllegalArgumentException - if n < 1.

IterativeLegendreFieldGaussIntegrator

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

Builds an integrator with given iteration counts.

Parameters:

field - field to which function argument and value belong

n - Number of integration points.

minimalIterationCount - Minimum number of iterations.

maximalIterationCount - Maximum number of iterations.

Throws:

MathIllegalArgumentException - if minimal number of iterations is not strictly positive.

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

MathIllegalArgumentException - if n < 1.

Method Detail

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