What are the MBTI personalities of the characters in Harry Potter?

A gifted half-blood prince, at a young age, can modify the potions textbook, invent the shadowless spell of the sacred front, and go undercover under Voldemort's nose for many years without any flaw. It is not an exaggeration to say that he is a genius.

People who are very demanding of themselves can also be mean. For example, Snape, fear, others will never see that he loves him so much and has loved him all his life.