Forgive and forget?

If you can not forget have you truly forgiven?
I ask this becasue someone who was supposed to care about me made a really harsh, well supposedly a joke, way back in January. They have apologised, we have talked about it, I have "forgiven" them, am happy to talk to them and we do get on as friends (or at least I thought we did), but I can not forget what they said, and how it made me feel.
Don't get me wrong, I don't think about it all the time, but just occasionally it pops back into my head, and with it all the feelings of anger, hurt, wanting the ground to swallow me up, and in a way betrayal come flooding back.
It just made think, have I really, truly forgiven them if I can not forget about it?