Class TrapezoidIntegrator
- java.lang.Object
-
- org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator
-
- org.apache.commons.math3.analysis.integration.TrapezoidIntegrator
-
- All Implemented Interfaces:
UnivariateIntegrator
public class TrapezoidIntegrator extends BaseAbstractUnivariateIntegrator
Implements the Trapezoid Rule for integration of real univariate functions. For reference, see Introduction to Numerical Analysis, ISBN 038795452X, chapter 3.The function should be integrable.
- Since:
- 1.2
-
-
Field Summary
Fields Modifier and Type Field Description private double
s
Intermediate result.static int
TRAPEZOID_MAX_ITERATIONS_COUNT
Maximum number of iterations for trapezoid.-
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
Constructors Constructor Description TrapezoidIntegrator()
Construct a trapezoid integrator with default settings.TrapezoidIntegrator(double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount)
Build a trapezoid integrator with given accuracies and iterations counts.TrapezoidIntegrator(int minimalIterationCount, int maximalIterationCount)
Build a trapezoid integrator with given iteration counts.
-
Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description protected double
doIntegrate()
Method for implementing actual integration algorithms in derived classes.(package private) double
stage(BaseAbstractUnivariateIntegrator baseIntegrator, int n)
Compute the n-th stage integral of trapezoid rule.-
Methods inherited from class org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator
computeObjectiveValue, getAbsoluteAccuracy, getEvaluations, getIterations, getMax, getMaximalIterationCount, getMin, getMinimalIterationCount, getRelativeAccuracy, incrementCount, integrate, setup
-
-
-
-
Field Detail
-
TRAPEZOID_MAX_ITERATIONS_COUNT
public static final int TRAPEZOID_MAX_ITERATIONS_COUNT
Maximum number of iterations for trapezoid.- See Also:
- Constant Field Values
-
s
private double s
Intermediate result.
-
-
Constructor Detail
-
TrapezoidIntegrator
public TrapezoidIntegrator(double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount) throws NotStrictlyPositiveException, NumberIsTooSmallException, NumberIsTooLargeException
Build a trapezoid 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 toTRAPEZOID_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 thanTRAPEZOID_MAX_ITERATIONS_COUNT
-
TrapezoidIntegrator
public TrapezoidIntegrator(int minimalIterationCount, int maximalIterationCount) throws NotStrictlyPositiveException, NumberIsTooSmallException, NumberIsTooLargeException
Build a trapezoid integrator with given iteration counts.- Parameters:
minimalIterationCount
- minimum number of iterationsmaximalIterationCount
- maximum number of iterations (must be less than or equal toTRAPEZOID_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 thanTRAPEZOID_MAX_ITERATIONS_COUNT
-
TrapezoidIntegrator
public TrapezoidIntegrator()
Construct a trapezoid integrator with default settings. (max iteration count set toTRAPEZOID_MAX_ITERATIONS_COUNT
)
-
-
Method Detail
-
stage
double stage(BaseAbstractUnivariateIntegrator baseIntegrator, int n) throws TooManyEvaluationsException
Compute the n-th stage integral of trapezoid rule. This function should only be called by APIintegrate()
in the package. To save time it does not verify arguments - caller does.The interval is divided equally into 2^n sections rather than an arbitrary m sections because this configuration can best utilize the already computed values.
- Parameters:
baseIntegrator
- integrator holding integration parametersn
- the stage of 1/2 refinement, n = 0 is no refinement- Returns:
- the value of n-th stage integral
- Throws:
TooManyEvaluationsException
- if the maximal number of evaluations is exceeded.
-
doIntegrate
protected double doIntegrate() throws MathIllegalArgumentException, TooManyEvaluationsException, MaxCountExceededException
Method for implementing actual integration algorithms in derived classes.- Specified by:
doIntegrate
in 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
-
-