I knew this film under an alternate title: "Tiger at the Gates."
This is an interesting version of Jean Gireaudoux's play "There will be no Trojan War." It doesn't have particularly good acting, sets, or costumes, but it can be good for ideas if doing a stage production on your own. I did not like the added character of Iris, the rainbow goddess, but it did provide a few laughs.
Note: Paris is played, interestingly enough, by Lambert Wilson, otherwise known as the Merovingian, whom you may recognize from the Matrix: Reloaded movie.