// Derived from stackoverflow: https://stackoverflow.com/questions/2835278/what-is-a-bias-value-of-floating-point-numbers
// g++ -std=c++14 sorter.cpp
#include <vector>
#include <algorithm>
#include <iostream>

int main()
{
    // some arbitrary floating point values
    std::vector<double> vals = {1e21, 1, 2.2, 2, 123, 1.1, 0.0001, 3, 17, -0.001, -0.00101, -1e22};
    std::vector<long long> ivals;

    // Take those floating point values, and treat the bits as integers:
    for (auto &&v : vals)
        ivals.push_back(*reinterpret_cast<long long *>(&v));

    // Sort them as integers:
    std::sort(ivals.begin(), ivals.end(),
              [](auto a, auto b) { if (a < 0.0 && b < 0.0) return b < a; return a < b; });

    // Print out both the integers and the floating point value those bits represent:
    for (auto &&i : ivals)
        std::cout << i << "\t(" << *reinterpret_cast<double *>(&i) << ")\n";
}