# Count pixels that stay inside the Mandelbrot set.
# 2048 by 2048, at most 80 iterations. The plane is [-1.5, 0.5] x [-1, 1].

hot fn mandel(cx: f64, cy: f64) -> i32:
    overflow: wrap
    var x: f64 = 0.0
    var y: f64 = 0.0
    var n: i32 = 0
    while n < 80:
        xx := x * x
        yy := y * y
        if xx + yy > 4.0:
            return n
        y = 2.0 * x * y + cy
        x = xx - yy + cx
        n += 1
    return 80

fn main():
    width: usize = 2048
    height: usize = 2048
    var inside: i32 = 0
    for row in 0..height:
        cy := -1.0 + 2.0 * f64(row) / f64(height)
        for col in 0..width:
            cx := -1.5 + 2.0 * f64(col) / f64(width)
            if mandel(cx, cy) == 80:
                inside += 1
    print(inside)