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
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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
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Constructor Summary
ConstructorDescriptionIterativeLegendreFieldGaussIntegrator
(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 TypeMethodDescriptionprotected T
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
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Constructor Details
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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 belongn
- 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.
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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 belongn
- Number of integration points.relativeAccuracy
- Relative accuracy of the result.absoluteAccuracy
- Absolute accuracy of the result.- Throws:
MathIllegalArgumentException
- ifn < 1
.
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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 belongn
- 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
- ifn < 1
.
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Method Details
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doIntegrate
Method for implementing actual integration algorithms in derived classes.- Specified by:
doIntegrate
in classBaseAbstractFieldUnivariateIntegrator<T extends CalculusFieldElement<T>>
- Returns:
- the root.
- Throws:
MathIllegalStateException
- if the maximal number of evaluations is exceeded.MathIllegalArgumentException
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