Hue rotation

Really, no magic here, once you process the image in HSL color space. The operation is as trivial as adding or subtracting a specified value from the pixel's \(H\) component:

// pseudo-code
void hue_rotation(/*array of pixels*/image, double _hue){
  for(const & pixel: image){
    pixel.hue = std::clamp(pixel.hue + _hue, 0., 360.); // hue is in range [0..360]°
  }
}