Package tools.singlevariable

Class Extrema

Object

Extrema

public class Extrema
extends Object

The Extrema uses the root finding capabilities of Solver in order to find various extrema of GeneralFunctions by setting their derivatives equals to 0 and solving.

Method Summary

Modifier and Type	Method	Description
static List<Double>	findInflectionPoints(GeneralFunction function, double lowerBound, double upperBound)	Returns the inflection points of a GeneralFunction function on a specified range
static List<Double>	findLocalMaxima(GeneralFunction function, double lowerBound, double upperBound)	Returns the local maxima of a GeneralFunction function on a specified range
static double	findLocalMaximum(GeneralFunction function, double lowerBound, double upperBound)	Returns the local maximum of a GeneralFunction function on a specified range
static List<Double>	findLocalMinima(GeneralFunction function, double lowerBound, double upperBound)	Returns the local minima of a GeneralFunction function on a specified range
static double	findLocalMinimum(GeneralFunction function, double lowerBound, double upperBound)	Returns the local minimum of a GeneralFunction function on a specified range
static double	findMaximumOnRange(GeneralFunction function, double lowerBound, double upperBound)	Returns the maximum of a GeneralFunction function on a specified range (endpoints included)
static double	findMinimumOnRange(GeneralFunction function, double lowerBound, double upperBound)	Returns the minimum of a GeneralFunction function on a specified range (endpoints included)

Methods inherited from class Object

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

Method Details

findLocalMinimum

public static double findLocalMinimum(GeneralFunction function, double lowerBound, double upperBound)

Returns the local minimum of a GeneralFunction function on a specified range

Parameters:

function - The GeneralFunction whose minimum is being found

lowerBound - The lower bound of the range

upperBound - The upper bound of the range

Returns:

the local minimum of function on the specified range

findLocalMaximum

public static double findLocalMaximum(GeneralFunction function, double lowerBound, double upperBound)

Returns the local maximum of a GeneralFunction function on a specified range

Parameters:

function - The GeneralFunction whose maximum is being found

lowerBound - The lower bound of the range

upperBound - The upper bound of the range

Returns:

the local maximum of function on the specified range

findMinimumOnRange

public static double findMinimumOnRange(GeneralFunction function, double lowerBound, double upperBound)

Returns the minimum of a GeneralFunction function on a specified range (endpoints included)

Parameters:

function - The GeneralFunction whose minimum is being found

lowerBound - The lower bound of the range

upperBound - The upper bound of the range

Returns:

the minimum of function on the specified range

findMaximumOnRange

public static double findMaximumOnRange(GeneralFunction function, double lowerBound, double upperBound)

Returns the maximum of a GeneralFunction function on a specified range (endpoints included)

Parameters:

function - The GeneralFunction whose maximum is being found

lowerBound - The lower bound of the range

upperBound - The upper bound of the range

Returns:

the maximum of function on the specified range

findLocalMinima

public static List<Double> findLocalMinima(GeneralFunction function, double lowerBound, double upperBound)

Returns the local minima of a GeneralFunction function on a specified range

Parameters:

function - The GeneralFunction whose minima are being found

lowerBound - The lower bound of the range

upperBound - The upper bound of the range

Returns:

a List of any minima of function on the specified range

findLocalMaxima

public static List<Double> findLocalMaxima(GeneralFunction function, double lowerBound, double upperBound)

Returns the local maxima of a GeneralFunction function on a specified range

Parameters:

function - The GeneralFunction whose maxima are being found

lowerBound - The lower bound of the range

upperBound - The upper bound of the range

Returns:

a List of any maxima of function on the specified range

findInflectionPoints

public static List<Double> findInflectionPoints(GeneralFunction function, double lowerBound, double upperBound)

Returns the inflection points of a GeneralFunction function on a specified range

Parameters:

function - The GeneralFunction whose inflection points are being found

lowerBound - The lower bound of the range

upperBound - The upper bound of the range

Returns:

a List of any inflection points of function on the specified range