import javax.swing.JApplet;
import javax.swing.JRootPane;
import java.awt.*;
import java.awt.geom.*;

public class MandelbrotApplet extends JApplet
{
    private final double XMAX = 1.0;
    private final double XMIN = -2.0;
    private final double YMAX = 1.0;
    private final double YMIN = -1.0; 
    
    //private final double INCREMENT = .008;
    //private final double REAL_INCREMENT = INCREMENT;
    //private final double IMAG_INCREMENT = INCREMENT;
    
    private final int ITERATIONS = 255;
    
    public void paint(Graphics g)
    {   
        Graphics2D g2 = (Graphics2D)g;
        /*
        double xscale = (getWidth() - 1.0) / (XMAX - XMIN);
        double yscale = (getHeight() - 1.0) / (YMIN - YMAX);
        g2.scale(xscale, yscale);
        g2.translate(-XMIN, -YMAX);
        g2.setStroke(new BasicStroke(0));
        */
        Dimension d = getSize();
        
        for(int pR = 0; pR < d.width; pR++)
        {
            for(int pI = 0; pI < d.height; pI++)
            {
                Complex z = new Complex(0.0, 0.0);
                
                double r = XMIN + (pR * ((XMAX + Math.abs(XMIN)) / d.width));
                double i = YMIN + (pI * ((YMAX + Math.abs(YMIN)) / d.height));                
                Complex c = new Complex(r, i);
                
                boolean inSet = true;
                int redColor = 0;                
                
                for(int iter = 0; iter < ITERATIONS; iter++)
                {
                    if(((z.getReal() * z.getReal()) + (z.getImg() +  z.getImg())) > 4)
                    {
                        inSet = false;
                        redColor = iter;
                    }
                    z = Complex.add(Complex.multiply(z, z), c);
                }
                
                if(inSet)
                {
                    g2.setColor(Color.black);
                }
                else
                {
                    g2.setColor(new Color(redColor, 0, 0));
                }
                
                g2.draw(new Line2D.Double(pR, pI, pR, pI));
            }
        
        }
    }
}