/// Integer division that rounds up.
pub fn div_up_usize(p: usize, q: usize) -> usize {
    div_up(p as u32, q as u32) as usize
}

/// Integer division that rounds up.
pub fn div_up(p: u32, q: u32) -> u32 {
    if p % q == 0 {
        p / q
    } else {
        1 + p / q
    }
}