Clean, efficient algorithm for wrapping integers in C++

The sign of a % b is only defined if a and b are both non-negative.

int Wrap(int kX, int const kLowerBound, int const kUpperBound)
{
    int range_size = kUpperBound - kLowerBound + 1;

    if (kX < kLowerBound)
        kX += range_size * ((kLowerBound - kX) / range_size + 1);

    return kLowerBound + (kX - kLowerBound) % range_size;
}