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use std::fmt::Display;

#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub struct Point {
    pub x: isize,
    pub y: isize,
}

impl Point {
    pub const fn new_point(x: isize, y: isize) -> Point {
        Point { x, y }
    }
}

impl Ord for Point {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.y
            .cmp(&other.y)
            .then_with(|| self.x.cmp(&other.x))
            .reverse()
    }
}

impl PartialOrd for Point {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<(isize, isize)> for Point {
    fn from(p: (isize, isize)) -> Self {
        Point { x: p.0, y: p.1 }
    }
}

impl Display for Point {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        write!(f, "({}, {})", self.x, self.y)
    }
}