// SPDX-License-Identifier: MIT
// Author: Giovanni Santini
// Github: @San7o

#define ITERATIONS 50

int mandelbrot(int x, int y, int width, int height)
{
  double x_norm = (x / (double) width) * 2.47 - 2;
  double y_norm = (y / (double) height) * 2.24 - 1.12;

  int it = 0;
  double x_it = 0.0;
  double y_it = 0.0;
  while (x_it * x_it + y_it * y_it <= 2*2
         && it < ITERATIONS)
  {
    double tmp = x_it * x_it - y_it * y_it + x_norm;
    y_it = 2 * x_it * y_it + y_norm;
    x_it = tmp;
    it++;
  }

  return it;
}