Java Fun and Games: Explore the geometry of nature

public void paintComponent (Graphics g)
{
     // The following increments make it possible to accurately map
     // floating-point numbers in the complex plane to integers on this
     // component's display surface.

     double imInc = (imMax-imMin)/getHeight ();
     double reInc = (reMax-reMin)/getWidth ();

     double dist = 0.0, im, re, tim, tre, zim, zre;

     int iter, x, y;

     // Generate Mandelbrot set. Each (re, im) combination corresponds
     // to point c on the complex plane.

     for (im = imMin, y = 0; im <= imMax; im += imInc, y++)
          for (re = reMin, x = 0; re <= reMax; re += reInc, x++)
          {
               // The (zre, zim) combination corresponds to complex
               // number z.

               zim = 0.0;
               zre = 0.0;

               for (iter = 1; iter < palette.length; iter++)
               {
                    // Calculate z*z.

                    tim = (zre+zre)*zim;
                    tre = zre*zre-zim*zim;

                    // Add c to z*z.

                    zim = tim+im;
                    zre = tre+re;

                    // Calculate distance squared.

                    dist = zre*zre+zim*zim;

                    // If distance squared exceeds 4.0, point is outside
                    // Mandelbrot set, so color point to a non-black
color.

                    if (dist > 4.0)
                    {
                        g.setColor (palette [iter]);
                        g.drawLine (x, y, x, y);
                        break;
                    }
               }

               // If distance squared is less than or equal to 4.0, point
               // is inside Mandelbrot set, so color point black.

               if (dist <= 4.0)
               {
                   g.setColor (Color.black);
                   g.drawLine (x, y, x, y);
               }
          }
}

MSPane (final JLabel lblStatus)
{
     addMouseListener (new MouseAdapter ()
                       {
                           public void mouseClicked (MouseEvent e)
                           {
                              int x = e.getX ();
                              int y = e.getY ();

                              if (!e.isShiftDown () && level < 31)
                              {
                                  double re =
reMin+x*(reMax-reMin)/getWidth ();
                                  double im =
imMin+y*(imMax-imMin)/getHeight ();

                                  complexNum cn = new complexNum ();
                                  cn.re = re;
                                  cn.im = im;
                                  stack.push (cn);

                                  reMax += re;
                                  reMin += re;
                                  imMax += im;
                                  imMin += im;
                                  reMax /= 2.0;
                                  reMin /= 2.0;
                                  imMax /= 2.0;
                                  imMin /= 2.0;

                                  level++;
                                  lblStatus.setText ("Level: "+level+
                                                     ", x: "+x+", y:  
"+y);
                              }
                              else
                              if (e.isShiftDown () && level != 0)
                              {
                                  complexNum cn = (complexNum) stack.pop
();
                                  double re = cn.re;
                                  double im = cn.im;

                                  reMax *= 2.0;
                                  reMin *= 2.0;
                                  imMax *= 2.0;
                                  imMin *= 2.0;
                                  reMax -= re;
                                  reMin -= re;
                                  imMax -= im;
                                  imMin -= im;

                                  level--;
                                  lblStatus.setText ("Level: "+level+
                                                     ", x: "+x+", y:  
"+y);
                              }

                              repaint ();
                           }
                       });

     addMouseMotionListener (new MouseMotionAdapter ()
                             {
                                 public void mouseMoved (MouseEvent e)
                                 {
                                    int x = e.getX ();
                                    int y = e.getY ();
                                    lblStatus.setText ("Level: "+level+
                                                       ", x: "+x+", y:
"+y);
                                 }
                             });
}