Class Scalemap 

java.lang.Object
   |
   +----java.awt.Component
           |
           +----java.awt.Container
                   |
                   +----java.awt.Window
                           |
                           +----java.awt.Frame
                                   |
                                   +----ChaosDemos.dynamicGraph
                                           |
                                           +----Scalemap
public class Scalemap
extends dynamicGraph
Iterates and plots the quadratic and sine maps, and demonstrates functional composition and rescaling.
Uses the "Java Graph Class Library" by Leigh Brrokshaw

Version:
3 August, 1997
Author:
Michael Cross

Variable Index

o a
map parameter
o atext
string value of a: used because of string truncation
o buttons
o delay
sleep delay in ms in dynamic iteration
o f
iterate of x
o iterateCurve
index of iteration curve
o ncurve
number of curves
o nf
compositions -> nit
o nfun
function: 0=Quadratic; 1=Sine
o nit
nit = 2^nf -> functional composition
o np
Number of points in plot of f(x)
o nsc
scaling factor: f and x are rescaled by (-alpha)^nsc
o trans
iterations to eliminate transients
o x
map variable
o x0
starting value of x
o xmin
initial value of x - scale
o xscale
rescaled value of x- scale

Constructor Index

o Scalemap(startMap)

Method Index

o disableAll()
Disables text input and choice contorls
o enableAll()
Enables text input and choice contorls
o function(int)
Returns map function of class variable x
o handleEvent(Event)
Event handler: Stops iteration on minimising and handles close window event
(May fail under Windows95)
o iterate()
Iterates class variables via map functions x->f f->f(x)
o movieStart()
Start movie thread
o movieStop()
Stop movie thread
o respondToButtons(int)
Respond to buttonControls
o respondToMouse(double, boolean, double, boolean)
Restarts iteration on mouse click
o respondToText()
Responds to textControls
o restart()
Resets plot by deleting all curves and restarting
o seta(double, int)
Resets the parameter a and function number.
o stop()
Stop thread
o updateParameters()
Updates parameters from the text controls

Variables

o np 
 int np
Number of points in plot of f(x)

o nit 
 int nit
nit = 2^nf -> functional composition

o ncurve 
 int ncurve
number of curves

o iterateCurve 
 int iterateCurve
index of iteration curve

o trans 
 int trans
iterations to eliminate transients

o nf 
 int nf
compositions -> nit

o nsc 
 int nsc
scaling factor: f and x are rescaled by (-alpha)^nsc

o delay 
 int delay
sleep delay in ms in dynamic iteration

o nfun 
 int nfun
function: 0=Quadratic; 1=Sine

o x 
 double x
map variable

o f 
 double f
iterate of x

o a 
 double a
map parameter

o atext 
 String atext
string value of a: used because of string truncation

o xmin 
 double xmin
initial value of x - scale

o xscale 
 double xscale
rescaled value of x- scale

o x0 
 double x0
starting value of x

o buttons 
 buttonControls buttons

Constructors

o Scalemap 
 Scalemap(startMap target)
Parameters:
target - starting class
See Also:
startMap

Methods

o respondToButtons 
 public void respondToButtons(int buttonIndex)
Respond to buttonControls

Parameters:
buttonIndex - index of button pushed
Overrides:
respondToButtons in class dynamicGraph
See Also:
buttonControls
o respondToText 
 public void respondToText()
Responds to textControls

Overrides:
respondToText in class dynamicGraph
See Also:
textControls
o movieStop 
 public void movieStop()
Stop movie thread

o movieStart 
 public void movieStart()
Start movie thread

o handleEvent 
 public boolean handleEvent(Event evt)
Event handler: Stops iteration on minimising and handles close window event
(May fail under Windows95)

Overrides:
handleEvent in class Component
o disableAll 
 public void disableAll()
Disables text input and choice contorls

o enableAll 
 public void enableAll()
Enables text input and choice contorls

o seta 
 public void seta(double ain,
                  int n)
Resets the parameter a and function number. Stores atext for later comparison (because string truncates accuracy of double)

o function 
 public double function(int n)
Returns map function of class variable x

Parameters:
n - number of iterations
o updateParameters 
 public void updateParameters()
Updates parameters from the text controls

o restart 
 public void restart()
Resets plot by deleting all curves and restarting

o iterate 
 public boolean iterate()
Iterates class variables via map functions x->f f->f(x)

Overrides:
iterate in class dynamicGraph
o stop 
 public void stop()
Stop thread

o respondToMouse 
 public void respondToMouse(double xcoord,
                            boolean xcoordValid,
                            double ycoord,
                            boolean ycoordValid)
Restarts iteration on mouse click

Parameters:
xcoord - x-coordinate of event
xcoordValid - true if event within x-range set by axes
ycoord - y-coordinate of event
ycoordValid - true if event within y-range set by axes
Overrides:
respondToMouse in class dynamicGraph