Package org.apache.commons.math.analysis.solvers

Class BisectionSolver

java.lang.Object

org.apache.commons.math.ConvergingAlgorithmImpl

org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl

org.apache.commons.math.analysis.solvers.BisectionSolver

All Implemented Interfaces:

UnivariateRealSolver, ConvergingAlgorithm

public class BisectionSolver
extends UnivariateRealSolverImpl

Implements the bisection algorithm for finding zeros of univariate real functions.

The function should be continuous but not necessarily smooth.

Version:

$Revision: 1070725 $ $Date: 2011-02-15 02:31:12 +0100 (mar. 15 févr. 2011) $

Field Summary

Fields inherited from class org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl

defaultFunctionValueAccuracy, f, functionValue, functionValueAccuracy, result, resultComputed

Fields inherited from class org.apache.commons.math.ConvergingAlgorithmImpl

absoluteAccuracy, defaultAbsoluteAccuracy, defaultMaximalIterationCount, defaultRelativeAccuracy, iterationCount, maximalIterationCount, relativeAccuracy

Constructor Summary

Constructors

Constructor	Description
BisectionSolver()	Construct a solver.
BisectionSolver(UnivariateRealFunction f)	Deprecated. as of 2.0 the function to solve is passed as an argument to the solve(UnivariateRealFunction, double, double) or UnivariateRealSolver.solve(UnivariateRealFunction, double, double, double) method.

Method Summary

Modifier and Type	Method	Description
double	solve(double min, double max)	Deprecated.
double	solve(double min, double max, double initial)	Deprecated.
double	solve(int maxEval, UnivariateRealFunction f, double min, double max)	Solve for a zero root in the given interval.
double	solve(int maxEval, UnivariateRealFunction f, double min, double max, double initial)	Solve for a zero in the given interval, start at startValue.
double	solve(UnivariateRealFunction f, double min, double max)	Deprecated. in 2.2 (to be removed in 3.0).
double	solve(UnivariateRealFunction f, double min, double max, double initial)	Deprecated. in 2.2 (to be removed in 3.0).

Methods inherited from class org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl

checkResultComputed, clearResult, getFunctionValue, getFunctionValueAccuracy, getResult, isBracketing, isSequence, resetFunctionValueAccuracy, setFunctionValueAccuracy, setResult, setResult, verifyBracketing, verifyInterval, verifySequence

Methods inherited from class org.apache.commons.math.ConvergingAlgorithmImpl

getAbsoluteAccuracy, getIterationCount, getMaximalIterationCount, getRelativeAccuracy, incrementIterationsCounter, resetAbsoluteAccuracy, resetIterationsCounter, resetMaximalIterationCount, resetRelativeAccuracy, setAbsoluteAccuracy, setMaximalIterationCount, setRelativeAccuracy

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.apache.commons.math.ConvergingAlgorithm

getAbsoluteAccuracy, getIterationCount, getMaximalIterationCount, getRelativeAccuracy, resetAbsoluteAccuracy, resetMaximalIterationCount, resetRelativeAccuracy, setAbsoluteAccuracy, setMaximalIterationCount, setRelativeAccuracy

Constructor Detail

BisectionSolver

@Deprecated
public BisectionSolver(UnivariateRealFunction f)

Deprecated.

as of 2.0 the function to solve is passed as an argument to the solve(UnivariateRealFunction, double, double) or UnivariateRealSolver.solve(UnivariateRealFunction, double, double, double) method.

Construct a solver for the given function.

Parameters:

f - function to solve.

BisectionSolver

public BisectionSolver()

Construct a solver.

Method Detail

solve

@Deprecated
public double solve(double min,
                    double max,
                    double initial)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Deprecated.

Solve for a zero in the given interval, start at startValue.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Parameters:

min - the lower bound for the interval.

max - the upper bound for the interval.

initial - the start value to use

Returns:

a value where the function is zero

Throws:

FunctionEvaluationException - if an error occurs evaluating the function

MaxIterationsExceededException

solve

@Deprecated
public double solve(double min,
                    double max)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Deprecated.

Solve for a zero root in the given interval.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Parameters:

min - the lower bound for the interval.

max - the upper bound for the interval.

Returns:

a value where the function is zero

Throws:

FunctionEvaluationException - if an error occurs evaluating the function

MaxIterationsExceededException

solve

@Deprecated
public double solve(UnivariateRealFunction f,
                    double min,
                    double max,
                    double initial)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Deprecated.

in 2.2 (to be removed in 3.0).

Solve for a zero in the given interval, start at startValue.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Parameters:

f - the function to solve.

min - the lower bound for the interval.

max - the upper bound for the interval.

initial - the start value to use

Returns:

a value where the function is zero

Throws:

FunctionEvaluationException - if an error occurs evaluating the function

MaxIterationsExceededException

solve

public double solve(int maxEval,
                    UnivariateRealFunction f,
                    double min,
                    double max,
                    double initial)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Solve for a zero in the given interval, start at startValue.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Overrides:

solve in class UnivariateRealSolverImpl

Parameters:

maxEval - Maximum number of evaluations.

f - the function to solve.

min - the lower bound for the interval.

max - the upper bound for the interval.

initial - the start value to use

Returns:

a value where the function is zero

Throws:

FunctionEvaluationException - if an error occurs evaluating the function

MaxIterationsExceededException

solve

public double solve(int maxEval,
                    UnivariateRealFunction f,
                    double min,
                    double max)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Solve for a zero root in the given interval.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Overrides:

solve in class UnivariateRealSolverImpl

Parameters:

maxEval - Maximum number of evaluations.

f - the function to solve.

min - the lower bound for the interval.

max - the upper bound for the interval.

Returns:

a value where the function is zero

Throws:

FunctionEvaluationException - if an error occurs evaluating the function

MaxIterationsExceededException

solve

@Deprecated
public double solve(UnivariateRealFunction f,
                    double min,
                    double max)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Deprecated.

in 2.2 (to be removed in 3.0).

Solve for a zero root in the given interval.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Parameters:

f - the function to solve.

min - the lower bound for the interval.

max - the upper bound for the interval.

Returns:

a value where the function is zero

Throws:

FunctionEvaluationException - if an error occurs evaluating the function

MaxIterationsExceededException