so I want a [line] like effect that will ramp from x to y, accelerating as it leaves x and decelerating as it approaches y, so it has a x^2 shape over time rather than a flat ramp. Does this make sense? is there a neat way to do this already?

I've agonized over this far toooo loooooooooooooooooooooooooooooooooooooooong. that might be longer than longcat.

Will a quarter cosine do? Ramp from 4.71 to 6.18, run it through [cos] and you should get a cos shape ranging from 0 to 1. You can do it with sigs~ too.

hmmmm.... maybe?

if going from 0 to 1000 with [line] looks like this;

0 100 200 300 400 500 600 700 800 900 1000

I want it curved like this;
0 25 75 150 200 300 500 800 875 925 975 1000

feel me?

i got a little prototype here now.

http://www.pdpatchrepo.info/hurleur/massacceldecel2seconds.pd

could you do

[0, 0.5 2000(
|
[line~]
|
[+~ 0.5]
|
[cos~]

and, in case someone needs it, the [undercurve] object.

http://www.pdpatchrepo.info/hurleur/undercurve.pd