The problem with putting up with it, of course, is that your dd is being taught that this is what relationships with men are like.
I agree that you should keep a diary and also, make it very clear to your DD that this behaviour from her father is unacceptable. You don't have to badmouth him, but if you say nothing at all, your DD will grow up thinking it's OK, and expecting to be treated like shit by every man with whom she has a relationship.
I don't think it's good enough to sit back and say "she'll realise for herself when she's old enough". No she won't - she'll get involved with a whole load of crap men who treat her like crap, because that's what she's used to. I don't think it's acceptable to allow fathers to behave like this without any comment at all. Your role as a mother is to teach her not to expect or accept this kind of crap treatment. How one does that without badmouthing the father, I really don't know, but I do know that children don't just come through their childhood miraculously knowing what was right and what was wrong - they can go through a whole load of adult pain first, which would have been avoidable had they been taught not to accept that kind of pain as normal.