//www.timestocome.com



import java.awt.*; 
import java.awt.event.*; 
import java.util.*;



public class Chaos extends Frame implements WindowListener 
{ 

    int xdim = 500;
    int ydim = 500;
    int board[][] = new int[xdim][ydim];
        
    
    public static void main(String[] args) 
    { 
	new Chaos(); 
    } 
    
    
    //set up frame and paint
    public Chaos() 
    { 	
	super ( "  Chaos Xn+1 = AXn(1-Xn)  " ); 
	setBounds ( 0, 0, xdim, ydim ); 
	setVisible ( true ); 
	addWindowListener ( this ); 
	repaint ();
    }
    
    
    
    public void update(Graphics g) { paint(g); } 
    
    
    
    public synchronized void paint(Graphics g) 
    { 
	
	//calculate Xn+1 = A * Xn ( 1 - Xn ); 
		
	
	double start = 0.0;
	double end = 4.0;   //after 4 orbit goes off to infinity
	double a = start + .6;
	double x=0.01; 
	double y=0.0;
	int i=0, j=0;
	int count = 0;
	double aStart = a;

	//scale
	double scale = xdim/(end-aStart);
	double increment = (end-aStart)/xdim;
	
	
	
	//grid lines
	int middle = ydim/2;
	for ( int s=0; s<ydim; s++){
	    g.setColor ( Color.red );
	    g.fillRect( s, middle, 1, 1 );
	}

	while ( ( a >= aStart ) && ( a<end ) ){
	    
	    while ( count < 100 ) {

		x = a*x*(1-x);

		i = (int)((a*scale) - (aStart*scale));
		j = (int)(x*scale) + ydim/2;

		count++;         //in case of repeating values

		g.setColor ( Color.black );
		g.fillRect ( i, j, 1, 1 );

	    }

	    a += increment;
	    count = 0;
	   
	    
	}
    } 
    
    
    	    
    
    
    public void windowOpened( WindowEvent ev ) {} 
    public void windowActivated( WindowEvent ev ) {} 
    public void windowIconified( WindowEvent ev ) {} 
    public void windowDeiconified( WindowEvent ev ) {} 
    public void windowDeactivated( WindowEvent ev ) {} 
    public void windowClosed( WindowEvent ev ) {} 
    
    
    
    public void windowClosing(WindowEvent ev) 
    { 
	setVisible(false); 
	dispose(); 
	System.exit(0); 
    } 

    
}