__kernel void basic_test() {
  printf("this cores ID: (%lu, %lu)\n", get_global_id(0), get_global_id(1));
}
double cosecant_single(double a, double b) { return a / tan(b); }
double secant_single(double a, double b) { return a / sin(b); }

__kernel void render_frame(__global unsigned int *frame_output,
    double x_step, double y_step,
    double x_start, double y_start,
    unsigned int iterations, unsigned int escape, double r) {  
  unsigned int iter;
  
  double x_cart = (get_global_id(0) * x_step) + x_start;
  double y_cart = (get_global_id(1) * y_step) + y_start;
  size_t img_index = (get_global_id(1) * get_global_size(1)) + get_global_id(0);
 
  
  double x = sqrt(pow(x_cart, 2) + pow(y_cart, 2));
  double y = atan(y_cart / x_cart);
  double next_x;

  for(iter = 0; iter < iterations; iter++) { 
    next_x = (r * cosecant_single(x, y)) + ((1 - r) * secant_single(x, y));
    y = (r * cosecant_single(y, x)) + ((1 - r) * secant_single(y, x));
    x = next_x;
    if((pow(x, 2) + pow(y, 2)) >= escape) break;
  }
  
  frame_output[img_index] = iter;
}