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//#include <math.h>
#define PI 3.141592653589793115997963468544185161590576171875
double cosecant_single(double a, double b) { return a / sin(b); }
double secant_single(double a, double b) { return a / tan(b); }
__kernel void render_frame(__global unsigned int *frame_output, __global double *mask,
double x_step, double y_step,
double x_start, double y_start,
unsigned int iterations, unsigned int escape, double ratio) {
unsigned int result;
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);
unsigned int iter;
for(iter = 0; iter < iterations; iter++) {
double next_x;
double r = mask[img_index];
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;
//frame_output[img_index] = mask[img_index] * 255;
}
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