[PATCH 03/14] pwm: rockchip: Fix period and duty_cycle approximation

[Brian Norris]

On Sat, Jun 04, 2016 at 08:19:55AM +0200, Boris Brezillon wrote:
> On Fri, 3 Jun 2016 13:03:26 -0700
> Brian Norris <briannorris at chromium.org> wrote:
> 
> > On Fri, Jun 03, 2016 at 10:23:01AM +0200, Boris Brezillon wrote:
> > > The current implementation always round down the duty and period
> > > values, while it would be better to round them to the closest integer.  
> > 
> > Agreed. As I noted to you elsewhere, not having this change can cause
> > problems where doing a series of pwm_get_state() / modify /
> > pwm_apply_state() will propagate rounding errors, which will change the
> > period unexpectedly. e.g., I have an expected period of 3.333 us and a
> > clk rate of 112.666667 MHz -- the clock frequency doesn't divide evenly,
> > so the period (stashed in nanoseconds) shrinks when we convert to the
> > register value and back, as follows:
> > 
> >  pwm_apply_state(): register = period * 112666667 / 1000000000;
> >  pwm_get_state(): period = register * 1000000000 / 112666667;
> > 
> > or in other words:
> > 
> >  period = period * 112666667 / 1000000000 * 1000000000 / 112666667;
> > 
> > which yields a sequence like:
> > 
> >  3333 -> 3328
> >  3328 -> 3319
> >  3319 -> 3310
> >  3310 -> 3301
> >  3301 -> 3292
> >  3292 -> ... (etc) ...
> > 
> > With this patch, we'd see instead:
> > 
> >  period = div_round_closest(period * 112666667, 1000000000) * 1000000000 / 112666667;
> > 
> > which yields a stable sequence:
> > 
> >  3333 -> 3337
> >  3337 -> 3337
> >  3337 -> ... (etc) ...
> 
> Woh! Thanks for the detailed explanation. Do you want me to put that in
> a comment explaining why we're using DIV_ROUND_CLOSEST_ULL()?

If you'd like, feel free to add some of this to your v2 description.

Brian