What avg bullet dmg of robot in battle against himself may mean?
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I've always found it optimal to surf until the wave is one tick from center. Effectively, this is when it passes your center, since it will move and then check for collisions before you can move again. While there still could be firing angles that would hit you after this, most of them would have already hit you, so it makes sense.
I guess you're just using the firing angle on the last tick you surf that wave? Of all the firing angles that would hit your bot for that movement option, using precise intersection will let you use the angle at the center of that range as the input to your danger calculation. (Or the whole range, depending on how your danger formula stuff works.) I was surprised by how much I gained by it. Pretty sure I argued against it having value for a while before I tried it. =))