Order three ints without branches

#include <bits/stdc++.h> // CHAR_BIT
#include <cstdint>
#include <iostream>

int64_t abs(int64_t n) {
  int64_t mask = n >> (sizeof(n) * CHAR_BIT - 1);
  return (n + mask) ^ mask;
}

int32_t max(int32_t a, int32_t b) {
  int64_t _a = a;
  int64_t _b = b;
  return (int32_t)(((_a + _b) + abs(_a - _b)) / 2);
}

int32_t min(int32_t a, int32_t b) {
  int64_t _a = a;
  int64_t _b = b;
  return (int32_t)(((_a + _b) - abs(_a - _b)) / 2);
}

void order(int32_t a, int32_t b, int32_t c, int32_t &low, int32_t &mid , int32_t &high) {
  low = min(min(a, b), c);
  mid = max(min(a, b), min(max(a, b), c));
  high = max(max(a, b), c);
}

int main()
{
  int32_t a, b, c, low, mid, high;
  std::cin >> a >> b >> c;
  order(a, b, c, low, mid, high);
  std::cout << low << " " << mid << " " << high << std::endl;
}