Is the pump one with a flip-able inner nozzle thingy for Schraeder or Presta? Or is it one of the self-adapting kind?

I had a self-adapting one, which was a royal pain.

Now I have a Giant floor pump that I keep flipped to Schraeder and use an adaptor that I screw onto the Presta valves to make them just like Schraders when I fill the tubes. (I have bikes with both types of tubes.)