//Fapplet is an applet for z^3 -1  not Mandlebro
  
  import java.awt.event.MouseListener;
  import java.awt.event.MouseEvent; 
    
  import java.awt.*;
  import java.awt.event.*; 



  import java.applet.Applet; 
  import java.awt.Graphics;
  public class Fapplet extends Applet implements MouseListener { 
 
  StringBuffer buffer;
  double xCurser;
  double yCurser;
  int imax;
  int jmax;
  double aspectRatio; 
  double xcenter;
  double ycenter;
  double xstart;
  double ystart;
  double xincrement;
  double yincrement;
 
  double zoom;
  static int BUTTON1_MASK;
  
    public void init() {
    addMouseListener(this); 
    zoom=1.0;
    xcenter=0.0;
    ycenter=0.0;
    imax=300;
    jmax=300;
    aspectRatio=((double)jmax)/((double) imax);

  //  xincrement=2.0*zoom/((double)imax);
  //  yincrement=xincrement*aspectRatio;
    System.out.println("aspectRatio="+aspectRatio);
  //  System.out.println("xincrement="+xincrement);
  //  System.out.println("yincrement="+yincrement);        


    buffer = new StringBuffer(); 
   // addItem("initializing... "); 
   } 
    public void start() {
     // addItem("starting... "); 
   }
  public void stop() {
     // addItem("stopping... ");  
   }
    public void destroy() { 
      //  addItem("preparing for unloading..."); 
    } 
 
  

  //   void addItem(String newWord) { 
  //        System.out.println(newWord);
  //        buffer.append(newWord);
  //         repaint();
  //   }
   
  public void mouseEntered(MouseEvent event) { } 
  public void mouseExited(MouseEvent event) { }
  public void mousePressed(MouseEvent event) { }  
  public void mouseReleased(MouseEvent event) { } 
  public void mouseClicked(MouseEvent event) {
      // addItem("click!...");
      if( (event.getModifiers() & event.BUTTON3_MASK)==
           event.BUTTON3_MASK ){
                System.out.println("right button pressed");
                zoom=zoom*2.0;
       }
       if( (event.getModifiers() & event.BUTTON1_MASK)==
           event.BUTTON1_MASK ){
                System.out.println("left button pressed");
                zoom=zoom*0.5;
       }

       xCurser=event.getX();
       yCurser=event.getY();
       xcenter=xstart+xCurser*xincrement;
       ycenter=ystart-yCurser*yincrement;
       System.out.println("xcenter=" + xcenter + "ycenter=" +
             ycenter);
       System.out.println("zoom=" + zoom);
       repaint();       
   } 
  public void paint(Graphics g) {
         g.setColor(Color.black);
         g.fillRect(0,0,imax,jmax);
        

        double thresh=0.0001;
      
        double x,y;
        
        
     
                        
       
        xstart=xcenter-zoom;
        ystart=ycenter+zoom*aspectRatio;
        
        xincrement=2.0*zoom/((double)imax);
        yincrement=xincrement*aspectRatio;

       
                
     
        int maxcount=50;
        int icount;
    
      
        Complex znew= new Complex();
        Complex zold= new Complex();
        Complex z2= new Complex();
        Complex z3= new Complex();
        Complex one=new Complex(1.0,0.0);
        Complex three=new Complex(3.0,0.0);
      
        Complex f= new Complex();
        Complex fprime= new Complex();
        Complex quot=new Complex();
        Complex diff=new Complex();
        double absdiff;

    

      for (int i=0;i<imax+1;i++){
           for (int j=0;j<jmax+1;j++){

                icount=0;
                x=xstart+xincrement*i;
                y=ystart-yincrement*j;
     
                znew=new Complex(x,y);
                


              

                absdiff=1.0;
                while (absdiff>thresh)
                {
                   zold=znew;  
                   
              
                   z2=zold.Times(zold);
                   z3=zold.Times(z2);
                   f=z3.Minus(one);
                   fprime=z2.Times(three);
                  quot=f.DivideBy(fprime);
                   znew=zold.Minus(quot);
                   diff=znew.Minus(zold);
                  absdiff=diff.Magnitude();
                   icount=icount+1;
                   if (icount>maxcount) break;
                } //end while
                if(icount<=maxcount){
                      if(icount<=3){
                            g.setColor(Color.red);
                            g.drawRect(i,j,0,0);
                      }
                          
                      else if((icount>3)&&(icount<=6)){
                            g.setColor(Color.blue);
                            g.drawRect(i,j,1,1);
                      }
                          
                      else if((icount>6)&&(icount<=9)){
                            g.setColor(Color.green);
                            g.drawRect(i,j,1,1);
                      }
                          
                      else if((icount>9)&&(icount<=12)){
                             g.setColor(Color.yellow);
                            g.drawRect(i,j,1,1);
                      }
                           
                      else if((icount>12)&&(icount<=15)){
                            g.setColor(Color.orange);
                            g.drawRect(i,j,1,1);    
                      }
                           
                      else if((icount>15)&&(icount<=18)){
                             g.setColor(Color.red);
                             g.drawRect(i,j,1,1);
                      }       
 
                           
                      else if((icount>18)&&(icount<=21)){
                             g.setColor(Color.blue);
                             g.drawRect(i,j,1,1);
                      }
                           
                      else if((icount>21)&&(icount<=24)){
                             g.setColor(Color.green);
                             g.drawRect(i,j,1,1);
                      }
                           
                      else if((icount>24)&&(icount<=27)){
                             g.setColor(Color.yellow);
                             g.drawRect(i,j,1,1);
                       }
                           
                      else if((icount>27)&&(icount<=30)){
                             g.setColor(Color.green);
                             g.drawRect(i,j,1,1);
                       }
                      else if((icount>30)&&(icount<=33)){
                             g.setColor(Color.red);
                             g.drawRect(i,j,1,1);
                       }    
                      else if((icount>33)&&(icount<=36)){
                             g.setColor(Color.blue);
                             g.drawRect(i,j,1,1);
                       }
                      else if((icount>36)&&(icount<=39)){
                             g.setColor(Color.yellow);
                             g.drawRect(i,j,1,1);
                       }
                           
                      else if((icount>39)&&(icount<=42)){ 
                             g.setColor(Color.blue);
                             g.drawRect(i,j,1,1);
                       }
                      else if((icount>42)&&(icount<=45)){
                            g.setColor(Color.red);
                            g.drawRect(i,j,1,1);
                       }
                           
                      else if((icount>45)&&(icount<=48)){
                            g.setColor(Color.blue);
                            g.drawRect(i,j,1,1);
                       }
                          
                      else if((icount>48)&&(icount<=50)){
                            g.setColor(Color.yellow);
                            g.drawRect(i,j,1,1);
                      }
                           
                      else{
                            g.setColor(Color.black);
                            g.drawRect(i,j,1,1);
                      }
                           
    
                           }//end if(icount<maxcount
                     }//end for(j:
             }//end for(i;




	
        
	
                  
   }// end of "public void paint(Graphics g)"
 
  

      
  } //end of applet