package com.camilstaps.mandelbrot;

import fractals.MainWindow;

/**
 * Solutions to week 11
 * @author Camil Staps
 */
public class Mandelbrot {
    
    /**
     * MainWindow does the hard work
     * @param args 
     */
    public static void main(String args[]) {
        MainWindow fractal_win = new MainWindow ();
    }
    
    /**
     * Calculate the mandel number up to a certain amount of iterations of the function
     * @param x
     * @param y
     * @param repetitions
     * @return 
     */
    public static int mandelNumber(double x, double y, int repetitions) {
        double x_n = x, y_n = y;
        int n = 0;
        
        while (x_n * x_n + y_n * y_n <= 4 && n <= repetitions) {
            double new_x_n = x_n * x_n - y_n * y_n + x;
            y_n = 2 * x_n * y_n + y;
            x_n = new_x_n;
            n++;
        }
        
        return n;
    }

}