org.apache.commons.math3.analysis.integration
Class TrapezoidIntegrator

java.lang.Object
  extended by org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator
      extended by 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
Version:
$Id: TrapezoidIntegrator.java 1364387 2012-07-22 18:14:11Z tn $

Field Summary
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
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
protected  double doIntegrate()
          Method 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, integrate, setup
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

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
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 result
absoluteAccuracy - absolute accuracy of the result
minimalIterationCount - minimum number of iterations
maximalIterationCount - maximum number of iterations (must be less than or equal to TRAPEZOID_MAX_ITERATIONS_COUNT
Throws:
NotStrictlyPositiveException - if minimal number of iterations is not strictly positive
NumberIsTooSmallException - if maximal number of iterations is lesser than or equal to the minimal number of iterations
NumberIsTooLargeException - if maximal number of iterations is greater than TRAPEZOID_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 iterations
maximalIterationCount - maximum number of iterations (must be less than or equal to TRAPEZOID_MAX_ITERATIONS_COUNT
Throws:
NotStrictlyPositiveException - if minimal number of iterations is not strictly positive
NumberIsTooSmallException - if maximal number of iterations is lesser than or equal to the minimal number of iterations
NumberIsTooLargeException - if maximal number of iterations is greater than TRAPEZOID_MAX_ITERATIONS_COUNT

TrapezoidIntegrator

public TrapezoidIntegrator()
Construct a trapezoid integrator with default settings. (max iteration count set to TRAPEZOID_MAX_ITERATIONS_COUNT)

Method Detail

doIntegrate

protected double doIntegrate()
                      throws TooManyEvaluationsException,
                             MaxCountExceededException
Method for implementing actual integration algorithms in derived classes.

Specified by:
doIntegrate in class BaseAbstractUnivariateIntegrator
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 otherwise


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