[knappa]

> As others have noted, exponential smoothing has a different problem, that it asymptotically approaches but never quite reaches its destination. The obvious fix is to stop animating when the step gets below some threshold, but that's inelegant.

This is off the cuff, but you might be able to fix this as follows: Interpret exponential smoothing as a ODE on the distance to the target. Call that distance D. Then exponential smoothing is the Euler update for dD/dt=-C*D. (the constant C>0 being a speed parameter) The issue you bring up is basically the fact that the solutions to the ODE are D(t)=A*exp(-C*t), which is asymptotic to zero as t->oo, but never reaches zero. Now, the fix is to replace the ODE with one that goes to zero in finite time. e.g. dD/dt=-C*sqrt(D). (Solutions are half-quadratic. i.e. they are quadratic for a bit then stay zero once you hit zero.) The Euler update for this is stateless like you wanted.