unsigned int secant_fractal(double x, double y, unsigned int escape, unsigned int iterations) {
  for(unsigned int iter = 0; iter < iterations; iter++) { 
    double next_x;
    next_x = x / cos(y);
    y = y / cos(x);
    x = next_x;
    if((pow(x, 2) + pow(y, 2)) >= escape) return iter;
  }
}
unsigned int cosecant_fractal(double x, double y, unsigned int escape, unsigned int iterations) {
  for(unsigned int iter = 0; iter < iterations; iter++) { 
    double next_x;
    next_x = x / sin(y);
    y = y / sin(x);
    x = next_x;
    if((pow(x, 2) + pow(y, 2)) >= escape) return iter;
  }
}

__kernel void render_frame(__global unsigned int *frame_output, //uint8_t *mask, //more bit depth is possible
    double x_step, double y_step,
    double x_start, double y_start,
    unsigned int iterations, unsigned int escape, double ratio) {  
  unsigned int result;
  double on_x = (get_global_id(0) * x_step) + x_start;
  double on_y = (get_global_id(1) * y_step) + y_start;
  
  frame_output[(get_global_id(1) * get_global_size(1)) + get_global_id(0)] =
    secant_fractal(on_x, on_y, escape, iterations);
}