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Well, I am looking forward to get my "Aha" moment. I you kept us in suspense for long enough :) Who knows, may be someone will use it as a spring board to beat the king.
I was trying to avoid PIF, since I would have to redo a lot of code. But deep inside, I believe PIF is more physical than GF targeting. I tend to agree with Voidious that Displacement Vectors in melee make more sense. PIF seems to be a gun which would be in alignment with this idea.
I like PIF for melee because it means I don't have to make assumptions that bots are moving relative to me, or their nearest enemy. I find in melee multiple enemies and walls can all affect movement, so the assumptions for GF and displacement vectors don't necessarily hold true. Of course, they are much faster.