Purple is ok, but black is not a good color for toes if you are light skinned. My only concern would be circulation. As long as you are getting blood flow you are good. Pain is a good sign. Lack of pain would be a bad sign. But just make sure you are getting sufficient blood flow to the toe.
if there is an area on the toe that ISNT brused (like the tip or the pad) press it, it should go white and then return to color in LESS than 2 seconds. Any longer and you should DEFINITLY see a doctor because your not being perfused. Joe pain isnt a good measure because lack of O2 ALSO causes pain through necrosis