Fast Math.exp
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FYI - testing for values between -20 and 0, which would be the range if you're doing gaussians with bandwidth = 1/2 bot width and up to 40 bot widths.
Math.exp() time: 0.30864 seconds FastMath.exp() time: 0.06371 seconds FastMath.exp() worst error: 0.02899 FastMath.exp() avg error: 0.00073
Or for -3 to 0:
== exp Test == Math.exp() time: 0.38425 seconds FastMath.exp() time: 0.07076 seconds FastMath.exp() worst error: 0.02899 FastMath.exp() avg error: 0.00464
Yeah, I didn't update the main page, didn't want to overwrite others' functions. Try the atan/atan2 I posted, they're much more accurate I think.
Yep - already tested them, using them, and running a long benchmark with a FastMath Diamond. =) I actually haven't noticed any huge speed increase in Diamond, so I'm hesitant to keep all this FastMath stuff. But it is faster and the error rate looks pretty low, so if I don't take any score hit I'll definitely keep it.
Just tried that fast exp with a dc/gaussian kernel/swarm targeting gun. 5,5% APS decrease in meleerumble, 12,4% APS decrease in teamrumble. :( Too imprecise for swarm targeting, and you notice the gun shaking a lot more.
But in 1v1 there was no APS hit (0,1% APS increase).
Found out its because that function doesn´t work for values outside -700 and 700.