#include <math.h>               /* sqrt() */
#include <complex.h>            /* complex, I, creal(), cimag() */
#include "FatouComputation.h"

#define LEEWAY 0.001
#define ITERATIONS 100
#define CLOSE_ENOUGH(z, x, y) \
    (fabs(creal(z) - (x)) < LEEWAY && fabs(cimag(z) - (y)) < LEEWAY)

unsigned int FatouComputation::compute(double x, double y)
{
    double complex z = 0.1;
    double complex p = x + I * y;

    for (int iter = 0; iter < ITERATIONS; iter++)
    {
        z = p * (1 - z) * z;
        if (cabs(z) > 2.0)
        {
            return 0xFF * ((double) iter / (double) ITERATIONS);
        }
    }
    return 0;
}