#include <math.h>               /* sqrt() */
#include <complex>
#include "FatouComputation.h"
using namespace std;

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

static unsigned int colors[] = {0xFF0000, 0x00FF00, 0x0000FF};

unsigned int FatouComputation::compute(double x, double y)
{
    complex<double> z(0.1);
    complex<double> p(x, y);

    for (int iter = 0; iter < ITERATIONS; iter++)
    {
        z = p * (complex<double>(1) - z) * z;
        if (abs(z) > 2.0)
        {
            return colors[iter % (sizeof(colors)/sizeof(colors[0]))];
        }
    }
    return 0;
}