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engine: Randomize timeline log level with math
Simplify the code and eliminate unwanted branches from the engine loop by drawing a random timeline level from a log-uniform distribution that mathematically favors higher log levels over lower ones. Plucked log5() out of the air i.e. each log level should be enabled for 5x more breaths than the one below. Here is how the distribution of log level choice looks in practice using this algorithm: > t = {0,0,0,0,0,0,0,0,0} > for i = 1, 1e8 do local n = math.max(1,math.ceil(math.log(math.random(5^9))/math.log(5))) t[n] = t[n]+1 end > for i,n in ipairs(t) do print(i,n) end 1 560 2 2151 3 10886 4 55149 5 273376 6 1367410 7 6844261 8 34228143 9 171120244 Note: Lua provides only natural logarithm functions but it is easy to derive other bases from this (google "log change of base formula").
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