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Yes, this is crucial. But in my experience, when I set the threshold to 1e-14, it works pretty well — If the angle between your bullet and their bullet is below 1e-14, move. Else, don't move.
I also tried to take how good the intersection into account (etc. if the intersection is below 0.1, also move), but no improvement at all.
Therefore I think it's not because 1e-16 caused the miss — even 0 is not enough, when the angle is below 1e-14, the game just ignores the intersection.
