Class MidPointIntegrator
java.lang.Object
org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator
org.apache.commons.math3.analysis.integration.MidPointIntegrator
- All Implemented Interfaces:
UnivariateIntegrator
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
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Field Summary
FieldsModifier and TypeFieldDescriptionstatic final intMaximum 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
ConstructorsConstructorDescriptionConstruct 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 TypeMethodDescriptionprotected doubleMethod 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
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Field Details
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MIDPOINT_MAX_ITERATIONS_COUNT
public static final int MIDPOINT_MAX_ITERATIONS_COUNTMaximum number of iterations for midpoint.- See Also:
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Constructor Details
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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 resultabsoluteAccuracy- absolute accuracy of the resultminimalIterationCount- minimum number of iterationsmaximalIterationCount- maximum number of iterations (must be less than or equal toMIDPOINT_MAX_ITERATIONS_COUNT- Throws:
NotStrictlyPositiveException- if minimal number of iterations is not strictly positiveNumberIsTooSmallException- if maximal number of iterations is lesser than or equal to the minimal number of iterationsNumberIsTooLargeException- if maximal number of iterations is greater thanMIDPOINT_MAX_ITERATIONS_COUNT
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MidPointIntegrator
public MidPointIntegrator(int minimalIterationCount, int maximalIterationCount) throws NotStrictlyPositiveException, NumberIsTooSmallException, NumberIsTooLargeException Build a midpoint integrator with given iteration counts.- Parameters:
minimalIterationCount- minimum number of iterationsmaximalIterationCount- maximum number of iterations (must be less than or equal toMIDPOINT_MAX_ITERATIONS_COUNT- Throws:
NotStrictlyPositiveException- if minimal number of iterations is not strictly positiveNumberIsTooSmallException- if maximal number of iterations is lesser than or equal to the minimal number of iterationsNumberIsTooLargeException- if maximal number of iterations is greater thanMIDPOINT_MAX_ITERATIONS_COUNT
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MidPointIntegrator
public MidPointIntegrator()Construct a midpoint integrator with default settings. (max iteration count set toMIDPOINT_MAX_ITERATIONS_COUNT)
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Method Details
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doIntegrate
protected double doIntegrate() throws MathIllegalArgumentException, TooManyEvaluationsException, MaxCountExceededExceptionMethod for implementing actual integration algorithms in derived classes.- Specified by:
doIntegratein classBaseAbstractUnivariateIntegrator- 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 otherwiseMathIllegalArgumentException
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