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Date:	Thu, 12 Jun 2014 23:49:46 -0700
From:	"Doug Smythies" <dsmythies@...us.net>
To:	"'Rafael J. Wysocki'" <rjw@...ysocki.net>,
	"'Stratos Karafotis'" <stratosk@...aphore.gr>
Cc:	<viresh.kumar@...aro.org>, <dirk.j.brandewie@...el.com>,
	<linux-pm@...r.kernel.org>, <linux-kernel@...r.kernel.org>
Subject: RE: [PATCH] cpufreq: intel_pstate: Fix rounding of core_pct

On 2014.06.12 13:03 Rafael J. Wysocki wrote:
> On Thursday, June 12, 2014 05:35:59 PM Stratos Karafotis wrote:
>> On 12/06/2014 12:15 πμ, Doug Smythies wrote:
>>> 
>>> 
>>> On 2014.06.11 13:20 Stratos Karafotis wrote:
>>>> On 11/06/2014 06:02 μμ, Doug Smythies wrote:
>>>>>
>>>>> On 2104.06.11 07:08 Stratos Karafotis wrote:
>>>>>> On 11/06/2014 04:41 μμ, Doug Smythies wrote:
>>>>>>
>>>>>> No.
> >>>
>>>>>> The intent was only ever to round properly the pseudo floating point result of the divide.
>>>>>> It was much more important (ugh, well 4 times more) when FRACBITS was still 6, which also got changed to 8 in a recent patch.
>>>>>>
>>>>>
>>>>> Are you sure?
>>>>>
>>>>> Yes.
>>>>>
>>>>>> This rounding was very recently added.
>>>>>> As far as I can understand, I don't see the meaning of this rounding, as is.
>>>>>> Even if FRAC_BITS was 6, I think it would have almost no improvement in
>>>>>> calculations.
>>>>>
>>>>> Note: I had not seen this e-mail when I wrote a few minutes ago:
>>>>>
>>>>> You may be correct.
>>>>> If Dirk agrees, I will re-analyse the entire driver for rounding effects soon.
>>>>> When FRACBITS was 6 there were subtle cases where the driver would get stuck, and not make a final pstate change, with the default PID gains.
>>>>> Other things have changed, and the analysis needs to be re-done.
>>>>>
>>> 
>>>> Could you please elaborate a little bit more what we need these 2 lines below?
>>>>
>>>>        if ((rem << 1) >= int_tofp(sample->mperf))
>>>>                core_pct += 1;
>>>>
>>>> Because nothing is mentioned for them in commit's changelog.
>>>> Do we need to round core_pct or not?
>>>> Because if we try to round it, I think this patch should work.
>>> 
>>> As mentioned originally, they are there just to round the pseudo floating number, not the integer portion only.
>>> Let us bring back the very numbers you originally gave and work through it.
>>> 
>>> aperf = 5024
>>> mperf = 10619
>>> 
>>> core_pct = 47.31142292%
>>> or 47 and 79.724267 256ths
>>> or to the closest kept fractional part 47 and 80 256ths
>>> or 12112 as a pseudo float.
>>> The maximum error with this rounding will be 1 part in 512 and symmetric instead of the 1 part in 256 always in one direction without.
>>> 
>>> Now if FRACBITS was still 6:
>>> core_pct = 47.31142292%
>>> or 47 and 19.931 64ths
>>> or to the closest kept fractional part 47 and 20 64ths
>>> or 3028 as a pseudo float.
>>> The maximum error with this rounding will be 1 part in 128 and symmetric instead of the 1 part in 64 (1.6% !!!) always in one direction without.
>>> 
>>> Hope this helps.
>>> 
>>
>> Yes, it helps. Thanks a lot!
>> 
>> But please note that the maximum error without this rounding will be 1.6% _only_
>> in fractional part. In the real number it will be much smaller:

Fair comment. Thanks.

>>
>> 47.19 instead of 47.20
>> 
>> And using FRAC_BITS 8:
>> 
>> 47.79 instead of 47.80
>> 

I really wouldn't write it that way, as I find it misleading. It is really 47 and 19 256ths...
Anyway, I think we all understand.

>> This is a 0.0002% difference. I can't see how this is can affect the calculations
>> even with FRAC_BITS 6.

O.K. The solution is overkill and div_u64 could have been used instead of div_u64_rem.
On my list, it is the lowest of priorities.

>> 
>> Another thing is that this algorithm generally is used to round to the
>> nearest integer. I'm not sure if it's valid to apply it for the rounding of
>> the fractional part of fixed point number.

I'm not sure how to reply, a pseudo floating point number is just an integer.

> Depending on the original reason, it may or may not be.

The original reason for that overall code patch was to address the possible overflow of the math, which (as far I know and have tested) it does.
I think we have gone down a bit of rat hole here in terms of the detail.

... Doug


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