C++11: std::remainder()

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

#include <cmath>
#include <iostream>

int main()
{
  // C++11:    remainder = numerator - integerDividend * denominator
  // Notes:
  //  integerDividend = round(numerator/denominator) and is even when
  //    abs(integerDividend - numerator/denominator) = 1/2
  std::cout << std::remainder(1.0, 1.0) << " "; //  0 = 1 - round(1/1) * 1
  std::cout << std::remainder(1.0, 2.0) << " "; //  1 = 1 - round(1/2) * 2
  std::cout << std::remainder(1.0, 3.0) << " "; //  1 = 1 - round(1/3) * 3
  std::cout << std::remainder(1.0, 4.0) << " "; //  1 = 1 - round(1/4) * 4
  std::cout << std::remainder(2.0, 1.0) << " "; //  0 = 2 - round(2/1) * 1
  std::cout << std::remainder(3.0, 1.0) << " "; //  0 = 3 - round(3/1) * 1
  std::cout << std::remainder(4.0, 1.0) << " "; //  0 = 4 - round(4/1) * 1
  std::cout << ": ";

  std::cout << std::remainder(2.0, 2.0) << " "; //  0 = 2 - round(2/2) * 2
  std::cout << std::remainder(2.0, 3.0) << " "; // -1 = 2 - round(2/3) * 3
  std::cout << std::remainder(2.0, 4.0) << " "; // -2 = 2 - round(2/4) * 4
  std::cout << std::remainder(3.0, 2.0) << " "; // -1 = 3 - round(3/2) * 2
  std::cout << std::remainder(4.0, 2.0) << " "; //  0 = 4 - round(4/2) * 2
  std::cout << ": ";

  std::cout << std::remainder(3.0, 3.0) << " "; //  0 = 3 - round(3/3) * 3
  std::cout << std::remainder(3.0, 4.0) << " "; // -1 = 3 - round(3/4) * 4
  std::cout << std::remainder(4.0, 3.0) << " "; //  1 = 4 - round(4/3) * 3
  std::cout << ": ";

  std::cout << std::remainder(4.0, 4.0) << " "; //  0 = 4 - round(4/4) * 4
  std::cout << ": ";

  std::cout << std::remainder(3.0, 5.0) << " "; // -2 = 3 - round(3/5) * 5
  std::cout << std::remainder(5.0, 3.0) << " "; // -1 = 5 - round(5/3) * 3

  std::cout << std::remainder(-10.0, 3.0) << " ";//-1=10-round(-10/3)*3

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

Reference: http://www.cplusplus.com/reference/cmath/remainder/