Maybe it's different in Canada but in the UK being that drunk would be very strong evidence that you were in no state to give consent. If you have sex with someone who's so drunk they don't know what they're doing that's rape.
[1] “because he is easily recognizable in a photograph showing him raping the victim while she is visibly ill… why the RCMP decided these photographs aren’t evidence of rape is beyond us.” http://www.salon.com/2013/04/12/anonymous_on_rehtaeh_parsons...
I'm not saying that Rehtaeh Parsons was not raped; only that when the police and prosecutors say that they do not think they could secure a conviction, I'm inclined to trust their expertise and knowledge of the case.
PS. A generic question. Not related to the crime mentioned in OP.