Please help me find the name of a Bruce Lee movie!

Hi everyone.

Well, where do I start?
I will just mention some scenes from the movie hoping that someone will have seen this movie and help me find out the name.

First of all, I am not sure if it was the real Bruce Lee in the movie or one of his doubles, don't blame me - I was just a kid back then and couldn't tell the difference.

Scene:
Bruce goes to a mountain where he trains karate with his master. They train topless and have black paint on their fingers so that they can see if one touches the other. Soon Bruce becomes very good and one day while they train he leaves a black mark with his fingers on his master's body.

Scene:
Bruce fights with a man who is the son of a general, and when this man loses from Bruce, his father, the general doesn't want to see him again telling him that he has lost his honor and it is better for him to commit a suicide.

Scene:
Bruce continues his journey to another master, who has a daughter and here there is Chemistry between Bruce and this girl, who also knows karate very good.
But they are constantly attacked by assassins, people with very different skills among which is Bolo Yeng.

Final Scene:
Bruce fights alone against two twins with beards dressed in white, who use glass and direct the sun beams in Bruce's eyes, but at the end Bruce beats them both, strangling them - one with his legs and one wit hhis arms.
And then the army, led by the before-mentioned general and who are watching the fight shoot at Bruce Lee with guns and weapons and this is how the movie ends.


Thank you all for your time friends,
Pavle