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Class EDU.emporia.mathtools.MathFunction

Object
   |
   +----EDU.emporia.mathtools.MathFunction

public class MathFunction

extends Object

implements Graphable

Version:

1.0

Author:

Joe Yanik

Since:

7/7/00

COMPOSEDWITH

Static constant corresponding to the composition combine mode.

CONSTANT

Static constant corresponding to a constant function when used for the combineMode

DIVIDEDBY

Static constant corresponding to the division combine mode.

IDENTITY

Static constant corresponding to the indentity function

MINUS

Static constant corresponding to the subtraction combine mode.

NORMAL

Static constant corresponding to the default combine mode.

PLUS

Static constant corresponding to the additive combine mode.

TIMES

Static constant corresponding to the multiplicative combine mode.

combineMode

Parameter used to keep track of the method of combining functions

constantValue

The value used for the constant when in CONSTANT combineMode.

title

The title used to describe the function

EDU.emporia.mathtools.MathFunction()

no-argument constructor.

EDU.emporia.mathtools.MathFunction(MathFunction, int, MathFunction)

A version of the constructor that will create a new MathFunction object from two specified MathFunction objects according to the specified combineMode

EDU.emporia.mathtools.MathFunction(double)

A version of the constructor that will create a constant function based on the specified constant.

composedWith(MathFunction)

Creates a new MathFunction object that correponds to the composition of this one with the specified MathFunction

dividedBy(MathFunction)

Creates a new MathFunction object that is the quotient of this one with the one specified

functionValue(double)

Gets the value of the function at the specified x-value

getPoint(double)

Gets the point on the graph of the function at the specified x-coordinate

getPoints(double, double, int)

Gets an array of points between the two indicated x-values

getPoints(double, double, double)

Gets an array of points on the graph of the function between two specified x-values with a distance of delta between subsequent x-values

getTitle()

Gets the title to be displayed to describe the function.

minus(MathFunction)

Creates a new MathFunction object that is the difference of this one with the one specified

minus(double)

Creates a new MathFunction object that is the difference of this one with the constant specified

pickRandom(double, double)

Picks a random number between the specifiend numbers

plus(MathFunction)

Creates a new MathFunction object that is the sum of this one with the one specified

plus(double)

Creates a new MathFunction object that is the sum of this one with the constant specified

probablyEquals(MathFunction)

By sampling over the interval from -10 to 10 this method determines whether or not the MathFunction appears to be equal to the specified MathFunction object

probablyEquals(MathFunction, double, double)

Version of the probablyEquals method that allows the sampling interval to be specified

setTitle(String)

Sets the title to be displayed to describe the function.

times(MathFunction)

Creates a new MathFunction object that is the product of this one with the one specified

times(double)

Creates a new MathFunction object that is the product of this one with the constant specified

public static final int COMPOSEDWITH

Static constant corresponding to the composition combine mode.

public static final int CONSTANT

Static constant corresponding to a constant function when used for the combineMode

public static final int DIVIDEDBY

Static constant corresponding to the division combine mode.

public static final EDU.emporia.mathtools.MathFunction IDENTITY

Static constant corresponding to the indentity function

public static final int MINUS

Static constant corresponding to the subtraction combine mode.

public static final int NORMAL

Static constant corresponding to the default combine mode. Results in the identity function

public static final int PLUS

Static constant corresponding to the additive combine mode.

public static final int TIMES

Static constant corresponding to the multiplicative combine mode.

protected int combineMode

Parameter used to keep track of the method of combining functions

protected double constantValue

The value used for the constant when in CONSTANT combineMode.

protected java.lang.String title

The title used to describe the function

public MathFunction()

no-argument constructor. Correponds to the identity function

public MathFunction(MathFunction f,
                    int combineMode,
                    MathFunction g)

A version of the constructor that will create a new MathFunction object from two specified MathFunction objects according to the specified combineMode

Parameters:

f - The first MathFunction object

combineMode - A parameter that will determine the way in which they are combined

g - The second MathFunction object

public MathFunction(double u)

A version of the constructor that will create a constant function based on the specified constant.

Parameters:

u - The constant to be used to define the constant function

public EDU.emporia.mathtools.MathFunction composedWith(MathFunction f)

Creates a new MathFunction object that correponds to the composition of this one with the specified MathFunction

Parameters:

f - The MathFunction object to be composed with.

Returns:

The composition of the two

public EDU.emporia.mathtools.MathFunction dividedBy(MathFunction f)

Creates a new MathFunction object that is the quotient of this one with the one specified

Parameters:

f - The function to appear in the denominator of the quotient

Returns:

The quotient of the functions

public double functionValue(double u)

Gets the value of the function at the specified x-value

Parameters:

u - The x-value

Returns:

The function value at the given x-val;ue

public EDU.emporia.mathtools.Point2D getPoint(double u)

Gets the point on the graph of the function at the specified x-coordinate

Parameters:

u - The x-coordinate

Returns:

The point on the graph

public EDU.emporia.mathtools.Point2D[] getPoints(double uMin,
                                                 double uMax,
                                                 int numberOfPoints)

Gets an array of points between the two indicated x-values

Parameters:

uMin - The smallest x-value

uMax - The largest x-value

numberOfPoints - The number of points in the array

Returns:

An array of points between the two specified x-values

public EDU.emporia.mathtools.Point2D[] getPoints(double uMin,
                                                 double uMax,
                                                 double delta)

Gets an array of points on the graph of the function between two specified x-values with a distance of delta between subsequent x-values

Parameters:

uMin - The smallest x-value

uMax - The largest x-value

delta - The distance between subsequent x-values

Returns:

An array of points on the graph of the function.

public java.lang.String getTitle()

Gets the title to be displayed to describe the function.

Returns:

The title to be displayed to describe the function.

public EDU.emporia.mathtools.MathFunction minus(MathFunction f)

Creates a new MathFunction object that is the difference of this one with the one specified

Parameters:

f - The function to be subtracted

Returns:

The difference of the two functions.

public EDU.emporia.mathtools.MathFunction minus(double c)

Creates a new MathFunction object that is the difference of this one with the constant specified

Parameters:

c - The constant to be subtracted

Returns:

The function minus the specified constant

public double pickRandom(double a,
                         double b)

Picks a random number between the specifiend numbers

Parameters:

a - The lower bound of the interval

b - The upper bound of the interval

Returns:

A random number in the specified interval

public EDU.emporia.mathtools.MathFunction plus(MathFunction f)

Creates a new MathFunction object that is the sum of this one with the one specified

Parameters:

f - The function to be added

Returns:

The sum of the two functions.

public EDU.emporia.mathtools.MathFunction plus(double c)

Creates a new MathFunction object that is the sum of this one with the constant specified

Parameters:

c - The constant to be added

Returns:

The function plus the specified constant

public boolean probablyEquals(MathFunction f)

By sampling over the interval from -10 to 10 this method determines whether or not the MathFunction appears to be equal to the specified MathFunction object

Parameters:

f - The function to compare to.

Returns:

True if they are probably equal. False otherwise

public boolean probablyEquals(MathFunction f,
                              double xMin,
                              double xMax)

Version of the probablyEquals method that allows the sampling interval to be specified

Parameters:

f - The function to compare to

xMin - The lower bound of the sampling interval

xMax - The upper bound of the sampling interval

Returns:

True if the function appear to be equal. False otherwise

public void setTitle(String title)

Sets the title to be displayed to describe the function.

Parameters:

title - The title to be displayed to describe the function.

public EDU.emporia.mathtools.MathFunction times(MathFunction f)

Creates a new MathFunction object that is the product of this one with the one specified

Parameters:

f - The function to be multiplied

Returns:

The product of the function

public EDU.emporia.mathtools.MathFunction times(double c)

Creates a new MathFunction object that is the product of this one with the constant specified

Parameters:

c - The constant to be multiplied

Returns:

The product of the function and the specified constant

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