> > Making our final function look like:
> >
> > s - x 3
> > f(x) := 1 + (-----)
> > l - s
>
> Very intuitive reasoning, thanks!
>
> I substituted real numbers to the function assuming a mem=2GB system.
>
> with limit=thresh:
>
> gnuplot> set xrange [60000:80000]
> gnuplot> plot 1 + (70000.0 - x)**3/(80000-70000.0)**3
I'll use the above one, which is more simple and elegant:
f(freerun) = 2.0
f(setpoint) = 1.0
f(limit) = 0
Code is
unsigned long freerun = (thresh + bg_thresh) / 2;
setpoint = (limit + freerun) / 2;
pos_ratio = abs(dirty - setpoint);
pos_ratio <<= BANDWIDTH_CALC_SHIFT;
do_div(pos_ratio, limit - setpoint + 1);
x = pos_ratio;
pos_ratio = pos_ratio * x >> BANDWIDTH_CALC_SHIFT;
pos_ratio = pos_ratio * x >> BANDWIDTH_CALC_SHIFT;
if (dirty > setpoint)
pos_ratio = -pos_ratio;
pos_ratio += 1 << BANDWIDTH_CALC_SHIFT;
Thanks,
Fengguang
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