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code logs -> 2022 -> Sat, 16 Jul 2022< code.20220715.log - code.20220717.log >
--- Log opened Sat Jul 16 00:00:08 2022
00:40
<&ToxicFrog>
argh, math
00:40
<&ToxicFrog>
don't like it
00:40
<&ToxicFrog>
(I am trying to develop a diminishing-returns function for softcapping)
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00:50
<&ToxicFrog>
After some fiddling I have y = x up to x=1 (the cap), and y=log10(x^2.1) gives a decent-looking curve for x>1 that hits twice the cap at three times the input and thrice the cap at 9x the input, but
00:50
<&ToxicFrog>
ok, hrm
00:50
<&ToxicFrog>
So the actual problem I'm trying to solve is "an actor has N effect stacks on it, and the player is trying to apply E additional stacks"
00:51
<&ToxicFrog>
"given cap C < (N+E), how many stacks does the actor actually end up with"
00:52
<&ToxicFrog>
And I think the answer is going to involve: given y=(N/C), solve for x, then take x' = x+(E/C) and compute y' from that, and the final number of stacks is y' * C
00:53
<&ToxicFrog>
That is to say, I need a bijective mapping between "the raw amount of stacks applied" and "the actual amount of stacks on the actor"
00:58
<&ToxicFrog>
(because some things, like stacks ticking down with time, apply to the actual stacks, not the raw stacks)
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01:09
<&McMartin>
related: https://twitter.com/NotBrunoAgain/status/1545423176968060929
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--- Log closed Sun Jul 17 00:00:09 2022
code logs -> 2022 -> Sat, 16 Jul 2022< code.20220715.log - code.20220717.log >
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