use std::cmp::{self};
use std::ops::{Range, RangeInclusive};

pub trait RangeExt<T> {
    fn sorted(&self) -> Self;
    fn to_inclusive(&self) -> RangeInclusive<T>;
    fn overlaps(&self, other: &Range<T>) -> bool;
    fn contains_inclusive(&self, other: &Range<T>) -> bool;
}

impl<T: Ord + Clone> RangeExt<T> for Range<T> {
    fn sorted(&self) -> Self {
        cmp::min(&self.start, &self.end).clone()..cmp::max(&self.start, &self.end).clone()
    }

    fn to_inclusive(&self) -> RangeInclusive<T> {
        self.start.clone()..=self.end.clone()
    }

    fn overlaps(&self, other: &Range<T>) -> bool {
        self.start < other.end && other.start < self.end
    }

    fn contains_inclusive(&self, other: &Range<T>) -> bool {
        self.start <= other.start && other.end <= self.end
    }
}

impl<T: Ord + Clone> RangeExt<T> for RangeInclusive<T> {
    fn sorted(&self) -> Self {
        cmp::min(self.start(), self.end()).clone()..=cmp::max(self.start(), self.end()).clone()
    }

    fn to_inclusive(&self) -> RangeInclusive<T> {
        self.clone()
    }

    fn overlaps(&self, other: &Range<T>) -> bool {
        self.start() < &other.end && &other.start <= self.end()
    }

    fn contains_inclusive(&self, other: &Range<T>) -> bool {
        self.start() <= &other.start && &other.end <= self.end()
    }
}