sjm.examples.sling
Class Cartesian

java.lang.Object
  |
  +--sjm.examples.sling.SlingFunction
        |
        +--sjm.examples.sling.Cartesian

public class Cartesian

extends SlingFunction

This class combines the y component of each of two source functions to form a new two-dimensional function. This allows functions which are normally one-dimensional to recombine into a two-dimensional function. For example, both sin and cos are normally one-dimensional functions, returning a single number for any given value. The classes Sin and Cos store their results in the y dimension of a function, augmenting any particular point with t as the x value. Objects of the Cartesian class ignore the x component of each source function. The y component of the first source function becomes the x component of the Cartesian function, and the y component of the second function becomes the y component of the Cartesian function.

Consider the following program, which plots a circle:

     theta = 2*pi*t;
     x = cos(theta);
     y = sin(theta);
     plot cartesian(x, y);
 

The design principles at play in this package augment the x and y functions above, so that they are effectively cartesian(t, cos(theta)) and cartesian(t, sin(theta)). The program recombines the y components of these functions into a new cartesian with an x value of cos(theta) and a y value of sin(theta).

Fields inherited from class sjm.examples.sling.SlingFunction

source

Constructor Summary

Cartesian()
Constructs cartesian(t, t).

Cartesian(SlingFunction sX, SlingFunction sY)
Constructs a function object that combines the y components of the two sources into the x and y values of a new function.

Method Summary

Point	f(double t) Combine the y components of the sources into a new point.
java.lang.String	toString() Returns a string representation of this function.

Methods inherited from class sjm.examples.sling.SlingFunction

eval, extrema, fresh

Methods inherited from class java.lang.Object

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

Constructor Detail

Cartesian

public Cartesian()

Constructs cartesian(t, t).

Cartesian

public Cartesian(SlingFunction sX,
                 SlingFunction sY)

Constructs a function object that combines the y components of the two sources into the x and y values of a new function.

Method Detail

f

public Point f(double t)

Combine the y components of the sources into a new point.

Overrides:

f in class SlingFunction

Parameters:

t - a number that represents how far along a plot is, and thus tells which point to return

Returns:

a new point: (sx.f(t).y, sy.f(t).y)

toString

public java.lang.String toString()

Returns a string representation of this function.

Overrides:

toString in class java.lang.Object