C++11: std::remquo()

C++11 added the function std::remquo(). Here is an example:

#include <cmath>
#include <iostream>
using namespace std;

int main()
{
  int quo = 0.0;

  // C++11:    remainder = numerator - integerDividend * denominator
  // Notes:
  //  integerDividend = round(numerator/denominator) and is even when
  //    abs(integerDividend - numerator/denominator) = 1/2
  cout << remquo(1.0, 1.0, &quo) << ":" << quo << " "; //  0:0
  cout << remquo(1.0, 2.0, &quo) << ":" << quo << " "; //  1:1
  cout << remquo(1.0, 3.0, &quo) << ":" << quo << " "; //  1:0
  cout << remquo(1.0, 4.0, &quo) << ":" << quo << " "; //  1:0
  cout << remquo(2.0, 1.0, &quo) << ":" << quo << " "; //  0:0
  cout << remquo(3.0, 1.0, &quo) << ":" << quo << " "; //  0:2
  cout << remquo(4.0, 1.0, &quo) << ":" << quo << " "; //  0:3
  cout << ": ";

  cout << remquo(2.0, 2.0, &quo) << ":" << quo << " "; //  0:4
  cout << remquo(2.0, 3.0, &quo) << ":" << quo << " "; // -1:1
  cout << remquo(2.0, 4.0, &quo) << ":" << quo << " "; // -2:1
  cout << remquo(3.0, 2.0, &quo) << ":" << quo << " "; // -1:0
  cout << remquo(4.0, 2.0, &quo) << ":" << quo << " "; //  0:2
  cout << ": ";

  cout << remquo(3.0, 3.0, &quo) << ":" << quo << " "; //  0:2
  cout << remquo(3.0, 4.0, &quo) << ":" << quo << " "; // -1:1
  cout << remquo(4.0, 3.0, &quo) << ":" << quo << " "; //  1:1
  cout << ": ";

  cout << remquo(4.0, 4.0, &quo) << ":" << quo << " "; //  0:1

  cout << endl;
  return 0;
}
// Output:
//   0:0 1:1 1:0 1:0 0:0 0:2 0:3 : 0:4 -1:1 2:1 -1:0 0:2 : 0:2 -1:1 1:1 : 0:1

Reference: http://en.cppreference.com/w/cpp/numeric/math/remquo