.32 Police,or .32 Colt New Police is the same cartridge as the .32 S&W Long. Only difference,besides the "egos" over the name game,was that the New Police had a slightly flatter bullet tip(I am sure those on the receiving end really couldn't tell the difference!)
So,if you have a Colt marked .32 Police etc.,it will fire the more e-z to get .32 S&W Long. Boxes marked .32 Colt New Police are still around at gunshows,for premium prices,usually.
Read the posts under Police Positive,for more details!