/// In place counting sort for collections of u32
/// O(n + maxval) in time, where maxval is the biggest value an input can possibly take
/// O(maxval) in memory
/// u32 is chosen arbitrarly, a counting sort probably should'nt be used on data that requires bigger types.

pub fn counting_sort(arr: &mut [u32], maxval: usize) {
    let mut occurences: Vec<usize> = vec![0; maxval + 1];

    for &data in arr.iter() {
        occurences[data as usize] += 1;
    }

    let mut i = 0;
    for (data, &number) in occurences.iter().enumerate() {
        for _ in 0..number {
            arr[i] = data as u32;
            i += 1;
        }
    }
}

use std::ops::AddAssign;
/// Generic implementation of a counting sort for all usigned types
pub fn generic_counting_sort<T: Into<u64> + From<u8> + AddAssign + Copy>(
    arr: &mut [T],
    maxval: usize,
) {
    let mut occurences: Vec<usize> = vec![0; maxval + 1];

    for &data in arr.iter() {
        occurences[data.into() as usize] += 1;
    }

    // Current index in output array
    let mut i = 0;

    // current data point, necessary to be type-safe
    let mut data = T::from(0);

    // This will iterate from 0 to the largest data point in `arr`
    // `number` contains the occurances of the data point `data`
    for &number in occurences.iter() {
        for _ in 0..number {
            arr[i] = data;
            i += 1;
        }

        data += T::from(1);
    }
}

#[cfg(test)]
mod test {
    use super::super::is_sorted;
    use super::*;

    #[test]
    fn counting_sort_descending() {
        let mut ve1 = vec![6, 5, 4, 3, 2, 1];
        counting_sort(&mut ve1, 6);

        assert!(is_sorted(&ve1));
    }

    #[test]
    fn counting_sort_pre_sorted() {
        let mut ve2 = vec![1, 2, 3, 4, 5, 6];
        counting_sort(&mut ve2, 6);

        assert!(is_sorted(&ve2));
    }

    #[test]
    fn generic_counting_sort() {
        let mut ve1: Vec<u8> = vec![100, 30, 60, 10, 20, 120, 1];
        super::generic_counting_sort(&mut ve1, 120);

        assert!(is_sorted(&ve1));
    }

    #[test]
    fn presorted_u64_counting_sort() {
        let mut ve2: Vec<u64> = vec![1, 2, 3, 4, 5, 6];
        super::generic_counting_sort(&mut ve2, 6);

        assert!(is_sorted(&ve2));
    }
}