# Untitled

Dec 19th, 2015
221
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1. You could convert level difference D into a float:
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3. Let X = D / (b + abs(D)), where b is some positive constant that determines how significant level difference is to the outcome.
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5. While D can range from -inf to +inf, the derived value X will be "smoothly" clamped between -1 and +1. This is easier to make work with probabilities.
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7. If the attack outcomes are (miss, graze, normal, critical) then we can assign some probabilities to each outcome at spot values of X:
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9. when X=1, then all attacks will be critical: (0, 0, 0, 1)
10. when X=0.5 then normal attacks are more likely: (0, 0.25, 0.5, 0.25)
11. when X=0 then attack outcomes are equally likely: (.25, .25, .25, .25)
12. when X=-0.5 then grazing attacks are more likely: (.25, 0.5, 0.25, 0)
13. when X=-1 then all attacks will be misses: (1, 0, 0, 0)
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15. Between these spot values, we can interpolate the probabilities
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