Was Cole Porter gay?

Just curious. Inthe new movie De-Lovely, is any reference made re his sexual orientation?

From this review:

Quite a bit. He and Linda discuss it quite a bit: “You don’t have to love me like I love you. Just love me.” He’s shown at a gay bar (as mentioned), kissing a man in a hotel bed, and “Night and Day” is played as a moment in which he and a different man – connect, for lack of a better verb. All of it’s quite out in the open.