# pythran export mandel(float, float, int, float, float, int, int)


def escapes(cr, ci, it):
    """
    Does iterating z <- z^2 + c escape after it iterations?
    """
    zr = 0.0
    zi = 0.0
    for i in range(it):
        # z <- z^2 + c
        zr, zi = zr * zr - zi * zi + cr, 2 * zr * zi + ci
        if zr * zr + zi * zi > 4:
            return True
    return False


def mandel(xmin, xmax, xstep, ymin, ymax, ystep, iterations):
    for yc in range(ystep):
        y = yc * (ymax - ymin) / ystep + ymin
        row = []
        for xc in range(xstep):
            x = xc * (xmax - xmin) / xstep + xmin
            row.append(escapes(x, y, iterations))

        print("".join([" " if p else "X" for p in row]))