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Back to Math and Physics

"Nice" tweakable S-function

gamer9xxx · 2018-10-21T16:39:23

Hi, I am looking for a tweakable function, which I believe somebody already calculated - it has shape of an S-function/logistic function, but with a few additional properties. Basically I want a tweakable interpolation function - that for tweakable constant s=0 or 1(doesn't matter) goes from linear interpolation and converges to a "set" interpolation as 's' goes to infinity and having some smooth interpolation between, see the picture: Input are real numbers from 0.0 to 1.0 f(0.0) = 0.0 f(0.5) = 0.5 f(1.0) = 1.0 Not sure if it's possible and still keeps the nice shape, but Ideally the first derivation should be: f '(0) = 0 f '(1) = 0 Since it's meant for games, I am ok if we neglect the derivation condition as long as the formula is simple and curve is "nice".

Math and Physics Programming

Started by gamer9xxx October 11, 2018 02:51 PM

11 comments, last by Dirk Gregorius 5 years, 8 months ago

unbird

8,359

October 21, 2018 11:32 AM

On 10/18/2018 at 7:43 PM, AntiTwister said:

https://www.desmos.com/calculator/3zhzwbfrxd

Indeed great resources. I usually use http://www.iquilezles.org/apps/graphtoy/ to play with functions, but that desmos thingy is nice. Graphtoy on the other hand allows a more C-like/shader syntax.