#include <algorithm>
#include <iostream>
#include <iterator>

// Radix sort comparator for 32-bit two's complement integers
class radix_test
{
    const int bit; // bit position [0..31] to examine
public:
    radix_test(int offset) : bit(offset) {} // constructor

    bool operator()(int value) const // function call operator
    {
        if (bit == 31) // sign bit
            return value < 0; // negative int to left partition
        else
            return !(value & (1 << bit)); // 0 bit to left partition
    }
};

// Least significant digit radix sort
void lsd_radix_sort(int *first, int *last)
{
    for (int lsb = 0; lsb < 32; ++lsb) // least-significant-bit
    {
        std::stable_partition(first, last, radix_test(lsb));
    }
}

// Most significant digit radix sort (recursive)
void msd_radix_sort(int *first, int *last, int msb = 31)
{
    if (first != last && msb >= 0)
    {
        int *mid = std::partition(first, last, radix_test(msb));
        msb--; // decrement most-significant-bit
        msd_radix_sort(first, mid, msb); // sort left partition
        msd_radix_sort(mid, last, msb); // sort right partition
    }
}

// test radix_sort
int main()
{
    int data[] = { 170, 45, 75, -90, -802, 24, 2, 66 };

    lsd_radix_sort(data, data + 8);
    // msd_radix_sort(data, data + 8);

    std::copy(data, data + 8, std::ostream_iterator<int>(std::cout, " "));

    return 0;
}
