Re: [Algorithms] Formula for Damping f times

[Alen L. <ale...@cr...>]

Paul wrote at 6/5/2009:
> x *= 1.0f-(k*deltaTime);

Note this:

x1 = x0*(1-k*d)
x2 = x1*(1-k*d)
   = x0*(1-k*d)*(1-k*d)
   = x0*(1 - k*2*d + k^2*d^2)

If you skip and do two steps at a time:

x2 = x0*(1-k*2*d)

So, this formula does not behave well with step variance. OP didn't
state he requires this explicitly, but it is important to note as it
can cause weird results later if you don't pay attention to that.
I'd prefer using pow(), as Fabian described, unless performance is
extremely critical there.

JM2C,
Alen