Class FieldSimpsonIntegrator<T extends CalculusFieldElement<T>>
java.lang.Object
org.hipparchus.analysis.integration.BaseAbstractFieldUnivariateIntegrator<T>
org.hipparchus.analysis.integration.FieldSimpsonIntegrator<T>
- Type Parameters:
T
- Type of the field elements.
- All Implemented Interfaces:
FieldUnivariateIntegrator<T>
public class FieldSimpsonIntegrator<T extends CalculusFieldElement<T>>
extends BaseAbstractFieldUnivariateIntegrator<T>
Implements
Simpson's Rule for integration of real univariate functions. For
reference, see Introduction to Numerical Analysis, ISBN 038795452X,
chapter 3.
This implementation employs the basic trapezoid rule to calculate Simpson's rule.
- Since:
- 2.0
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Field Summary
Modifier and TypeFieldDescriptionstatic final int
Maximal number of iterations for Simpson.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
ConstructorDescriptionFieldSimpsonIntegrator
(Field<T> field) Construct an integrator with default settings.FieldSimpsonIntegrator
(Field<T> field, double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount) Build a Simpson integrator with given accuracies and iterations counts.FieldSimpsonIntegrator
(Field<T> field, int minimalIterationCount, int maximalIterationCount) Build a Simpson 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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Field Details
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SIMPSON_MAX_ITERATIONS_COUNT
public static final int SIMPSON_MAX_ITERATIONS_COUNTMaximal number of iterations for Simpson.- See Also:
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Constructor Details
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FieldSimpsonIntegrator
public FieldSimpsonIntegrator(Field<T> field, double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount) throws MathIllegalArgumentException Build a Simpson integrator with given accuracies and iterations counts.- Parameters:
field
- field to which function argument and value belongrelativeAccuracy
- relative accuracy of the resultabsoluteAccuracy
- absolute accuracy of the resultminimalIterationCount
- minimum number of iterationsmaximalIterationCount
- maximum number of iterations (must be less than or equal toSIMPSON_MAX_ITERATIONS_COUNT
)- Throws:
MathIllegalArgumentException
- if minimal number of iterations is not strictly positiveMathIllegalArgumentException
- if maximal number of iterations is lesser than or equal to the minimal number of iterationsMathIllegalArgumentException
- if maximal number of iterations is greater thanSIMPSON_MAX_ITERATIONS_COUNT
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FieldSimpsonIntegrator
public FieldSimpsonIntegrator(Field<T> field, int minimalIterationCount, int maximalIterationCount) throws MathIllegalArgumentException Build a Simpson integrator with given iteration counts.- Parameters:
field
- field to which function argument and value belongminimalIterationCount
- minimum number of iterationsmaximalIterationCount
- maximum number of iterations (must be less than or equal toSIMPSON_MAX_ITERATIONS_COUNT
)- Throws:
MathIllegalArgumentException
- if minimal number of iterations is not strictly positiveMathIllegalArgumentException
- if maximal number of iterations is lesser than or equal to the minimal number of iterationsMathIllegalArgumentException
- if maximal number of iterations is greater thanSIMPSON_MAX_ITERATIONS_COUNT
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FieldSimpsonIntegrator
Construct an integrator with default settings.- Parameters:
field
- field to which function argument and value belong (max iteration count set toSIMPSON_MAX_ITERATIONS_COUNT
)
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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.
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