// Sequential mono-color mandelbrot set program.

// Compile: javac MonoMandl
// Execute: java MonoMandl

import java.awt.*;
import javax.swing.*;

class MonoMandl
{
// Program to calculate Mandelbrot set.
public static void main(String[] args)
{
// Create frame for output.
JFrame frame = new JFrame("Mandelbrot Set Program");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
MandelbrotPanel panel = new MandelbrotPanel();
frame.getContentPane().add(panel);
frame.setSize(MandelbrotPanel.HEIGHT, MandelbrotPanel.WIDTH);
frame.show();
}
}

class MandelbrotPanel extends JPanel
{
public static int HEIGHT=800, WIDTH=800;

int maxIts = 100;
double minX = -2, minY = -2, maxX = 2, maxY = 2;

// Override JPanel's method to draw this component.
public void paintComponent(Graphics graphics)
{
super.paintComponent(graphics);

double x, y;
// Calculate and draw the mandelbrot set.
for (int xPixel=0; xPixel<WIDTH; xPixel++)
{ for (int yPixel=0; yPixel<HEIGHT; yPixel++)
{
x = minX + xPixel * (maxX - minX) / WIDTH;
y = minY + yPixel * (maxY - minY) / HEIGHT;
if (calculatePoint(x, y, maxIts))
graphics.setColor(Color.black);
else graphics.setColor(Color.white);
graphics.drawRect(xPixel,yPixel,1,1);
}
}
}

// Calculate if point is in Mandelbrot set or not.
boolean calculatePoint(double cReal, double cImag, int max)
{
double temp, zReal = 0, zImag = 0, lengthSq;
int iterations = 0;

// Iterate over z(n+1) = z(n) squared + c
// Stop when result exceeds 4 or iteration count exceeded
do
{ temp = zReal * zReal - zImag*zImag + cReal;
zImag = 2.0 * zReal * zImag + cImag;
zReal = temp;
lengthSq = zReal*zReal + zImag*zImag;
iterations++;
} while (lengthSq < 4.0 && iterations < max);

if (iterations == max) return true;
return false;
}
}