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## org.apache.commons.math.analysis
Class UnivariateRealSolverImpl

    java.lang.Object
      org.apache.commons.math.analysis.UnivariateRealSolverImpl

All Implemented Interfaces:
  Serializable, UnivariateRealSolver

Direct Known Subclasses:
  BisectionSolver, BrentSolver, NewtonSolver, SecantSolver

public abstract class UnivariateRealSolverImpl
extends Object
implements UnivariateRealSolver, Serializable

Provide a default implementation for several functions useful to generic solvers.

Version:
  $Revision: 348888 $ $Date: 2005-11-24 23:21:25 -0700 (Thu, 24 Nov 2005) $
See Also:
  Serialized Form

Field Summary
`protected double` | `absoluteAccuracy` Maximum absolute error.
`protected double` | `defaultAbsoluteAccuracy` Default maximum absolute error.
`protected double` | `defaultFunctionValueAccuracy` Default maximum error of function.
`protected int` | `defaultMaximalIterationCount` Default maximum number of iterations.
`protected double` | `defaultRelativeAccuracy` Default maximum relative error.
`protected UnivariateRealFunction` | `f` The function to solve.
`protected double` | `functionValueAccuracy` Maximum error of function.
`protected int` | `iterationCount` The last iteration count.
`protected int` | `maximalIterationCount` Maximum number of iterations.
`protected double` | `relativeAccuracy` Maximum relative error.
`protected double` | `result` The last computed root.
`protected boolean` | `resultComputed` Indicates where a root has been computed.

Constructor Summary
`protected` | `UnivariateRealSolverImpl(UnivariateRealFunction f, int defaultMaximalIterationCount, double defaultAbsoluteAccuracy)` Construct a solver with given iteration count and accuracy.

Method Summary
`protected void` | `clearResult()` Convenience function for implementations.
`double` | `getAbsoluteAccuracy()` Get the actual absolute accuracy.
`double` | `getFunctionValueAccuracy()` Get the actual function value accuracy.
`int` | `getIterationCount()` Access the last iteration count.
`int` | `getMaximalIterationCount()` Get the upper limit for the number of iterations.
`double` | `getRelativeAccuracy()` Get the actual relative accuracy.
`double` | `getResult()` Access the last computed root.
`protected boolean` | `isBracketing(double lower, double upper, UnivariateRealFunction f)` Returns true iff the function takes opposite signs at the endpoints.
`protected boolean` | `isSequence(double start, double mid, double end)` Returns true if the arguments form a (strictly) increasing sequence
`void` | `resetAbsoluteAccuracy()` Reset the absolute accuracy to the default.
`void` | `resetFunctionValueAccuracy()` Reset the actual function accuracy to the default.
`void` | `resetMaximalIterationCount()` Reset the upper limit for the number of iterations to the default.
`void` | `resetRelativeAccuracy()` Reset the relative accuracy to the default.
`void` | `setAbsoluteAccuracy(double accuracy)` Set the absolute accuracy.
`void` | `setFunctionValueAccuracy(double accuracy)` Set the function value accuracy.
`void` | `setMaximalIterationCount(int count)` Set the upper limit for the number of iterations.
`void` | `setRelativeAccuracy(double accuracy)` Set the relative accuracy.
`protected void` | `setResult(double result, int iterationCount)` Convenience function for implementations.
`protected void` | `verifyBracketing(double lower, double upper, UnivariateRealFunction f)` Verifies that the endpoints specify an interval and the function takes opposite signs at the enpoints, throws IllegalArgumentException if not
`protected void` | `verifyInterval(double lower, double upper)` Verifies that the endpoints specify an interval, throws IllegalArgumentException if not
`protected void` | `verifySequence(double lower, double initial, double upper)` Verifies that `lower < initial < upper` throws IllegalArgumentException if not

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.analysis.UnivariateRealSolver
`solve, solve`

Field Detail

### absoluteAccuracy

    protected double absoluteAccuracy

  Maximum absolute error.

### relativeAccuracy

    protected double relativeAccuracy

  Maximum relative error.

### functionValueAccuracy

    protected double functionValueAccuracy

  Maximum error of function.

### maximalIterationCount

    protected int maximalIterationCount

  Maximum number of iterations.

### defaultAbsoluteAccuracy

    protected double defaultAbsoluteAccuracy

  Default maximum absolute error.

### defaultRelativeAccuracy

    protected double defaultRelativeAccuracy

  Default maximum relative error.

### defaultFunctionValueAccuracy

    protected double defaultFunctionValueAccuracy

  Default maximum error of function.

### defaultMaximalIterationCount

    protected int defaultMaximalIterationCount

  Default maximum number of iterations.

### resultComputed

    protected boolean resultComputed

  Indicates where a root has been computed.

### result

    protected double result

  The last computed root.

### iterationCount

    protected int iterationCount

  The last iteration count.

### f

    protected UnivariateRealFunction f

  The function to solve.

Constructor Detail

### UnivariateRealSolverImpl

    protected UnivariateRealSolverImpl(UnivariateRealFunction f,
                                       int defaultMaximalIterationCount,
                                       double defaultAbsoluteAccuracy)

  Construct a solver with given iteration count and accuracy.

Parameters:
  `f` - the function to solve.
  `defaultAbsoluteAccuracy` - maximum absolute error
  `defaultMaximalIterationCount` - maximum number of iterations
Throws:
  `IllegalArgumentException` - if f is null or the defaultAbsoluteAccuracy is not valid

Method Detail

### getResult

    public double getResult()

  Access the last computed root.

  Specified by:
    `getResult` in interface `UnivariateRealSolver`
  Returns:
    the last computed root
  Throws:
    `IllegalStateException` - if no root has been computed

### getIterationCount

    public int getIterationCount()

  Access the last iteration count.

  Specified by:
    `getIterationCount` in interface `UnivariateRealSolver`
  Returns:
    the last iteration count
  Throws:
    `IllegalStateException` - if no root has been computed

### setResult

    protected final void setResult(double result,
                                   int iterationCount)

  Convenience function for implementations.

  Parameters:
    `result` - the result to set
    `iterationCount` - the iteration count to set

### clearResult

    protected final void clearResult()

  Convenience function for implementations.

### setAbsoluteAccuracy

    public void setAbsoluteAccuracy(double accuracy)

  Set the absolute accuracy.

  Specified by:
    `setAbsoluteAccuracy` in interface `UnivariateRealSolver`
  Parameters:
    `accuracy` - the accuracy.
  Throws:
    `IllegalArgumentException` - if the accuracy can't be achieved by the solver or is otherwise deemed unreasonable.

### getAbsoluteAccuracy

    public double getAbsoluteAccuracy()

  Get the actual absolute accuracy.

  Specified by:
    `getAbsoluteAccuracy` in interface `UnivariateRealSolver`
  Returns:
    the accuracy

### resetAbsoluteAccuracy

    public void resetAbsoluteAccuracy()

  Reset the absolute accuracy to the default.

  Specified by:
    `resetAbsoluteAccuracy` in interface `UnivariateRealSolver`

### setMaximalIterationCount

    public void setMaximalIterationCount(int count)

  Set the upper limit for the number of iterations.

  Specified by:
    `setMaximalIterationCount` in interface `UnivariateRealSolver`
  Parameters:
    `count` - maximum number of iterations

### getMaximalIterationCount

    public int getMaximalIterationCount()

  Get the upper limit for the number of iterations.

  Specified by:
    `getMaximalIterationCount` in interface `UnivariateRealSolver`
  Returns:
    the actual upper limit

### resetMaximalIterationCount

    public void resetMaximalIterationCount()

  Reset the upper limit for the number of iterations to the default.

  Specified by:
    `resetMaximalIterationCount` in interface `UnivariateRealSolver`
  See Also:
    `UnivariateRealSolver.setMaximalIterationCount(int)`

### setRelativeAccuracy

    public void setRelativeAccuracy(double accuracy)

  Set the relative accuracy.

  Specified by:
    `setRelativeAccuracy` in interface `UnivariateRealSolver`
  Parameters:
    `accuracy` - the relative accuracy.
  Throws:
    `IllegalArgumentException` - if the accuracy can't be achieved by the solver or is otherwise deemed unreasonable.

### getRelativeAccuracy

    public double getRelativeAccuracy()

  Get the actual relative accuracy.

  Specified by:
    `getRelativeAccuracy` in interface `UnivariateRealSolver`
  Returns:
    the accuracy

### resetRelativeAccuracy

    public void resetRelativeAccuracy()

  Reset the relative accuracy to the default.

  Specified by:
    `resetRelativeAccuracy` in interface `UnivariateRealSolver`

### setFunctionValueAccuracy

    public void setFunctionValueAccuracy(double accuracy)

  Set the function value accuracy.

  Specified by:
    `setFunctionValueAccuracy` in interface `UnivariateRealSolver`
  Parameters:
    `accuracy` - the accuracy.
  Throws:
    `IllegalArgumentException` - if the accuracy can't be achieved by the solver or is otherwise deemed unreasonable.

### getFunctionValueAccuracy

    public double getFunctionValueAccuracy()

  Get the actual function value accuracy.

  Specified by:
    `getFunctionValueAccuracy` in interface `UnivariateRealSolver`
  Returns:
    the accuracy

### resetFunctionValueAccuracy

    public void resetFunctionValueAccuracy()

  Reset the actual function accuracy to the default.

  Specified by:
    `resetFunctionValueAccuracy` in interface `UnivariateRealSolver`

### isBracketing

    protected boolean isBracketing(double lower,
                                   double upper,
                                   UnivariateRealFunction f)
                            throws FunctionEvaluationException

  Returns true iff the function takes opposite signs at the endpoints.

  Parameters:
    `lower` - the lower endpoint
    `upper` - the upper endpoint
    `f` - the function
  Returns:
    true if f(lower) * f(upper) < 0
  Throws:
    `FunctionEvaluationException` - if an error occurs evaluating the function at the endpoints

### isSequence

    protected boolean isSequence(double start,
                                 double mid,
                                 double end)

  Returns true if the arguments form a (strictly) increasing sequence

  Parameters:
    `start` - first number
    `mid` - second number
    `end` - third number
  Returns:
    true if the arguments form an increasing sequence

### verifyInterval

    protected void verifyInterval(double lower,
                                  double upper)

  Verifies that the endpoints specify an interval, throws IllegalArgumentException if not

  Parameters:
    `lower` - lower endpoint
    `upper` - upper endpoint
  Throws:
    `IllegalArgumentException`

### verifySequence

    protected void verifySequence(double lower,
                                  double initial,
                                  double upper)

  Verifies that `lower < initial < upper` throws IllegalArgumentException if not

  Parameters:
    `lower` - lower endpoint
    `initial` - initial value
    `upper` - upper endpoint
  Throws:
    `IllegalArgumentException`

### verifyBracketing

    protected void verifyBracketing(double lower,
                                    double upper,
                                    UnivariateRealFunction f)
                             throws FunctionEvaluationException

  Verifies that the endpoints specify an interval and the function takes opposite signs at the enpoints, throws IllegalArgumentException if not

  Parameters:
    `lower` - lower endpoint
    `upper` - upper endpoint
    `f` - function
  Throws:
    `IllegalArgumentException`
    `FunctionEvaluationException` - if an error occurs evaluating the function at the endpoints

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