Hi David,

On Tue, Feb 9, 2010 at 1:41 AM, David Gay <[email protected]> wrote:
> On Mon, Feb 8, 2010 at 11:35 AM, Miklos Maroti <[email protected]> 
> wrote:
>> Janos, Andreas and David,
>>
>> From scale.h the scale32(x,a,b) call calculates x*a/b with fixed point
>> arithmetic without overflow. The offset was added to help rounding,
>> but it was not implemented correctly. If you want to calculate x/b,
>> then it makes sense to calculate it as (x + b>>1)/b to get the
>> rounding effect. However, this is NOT needed here since a/b should be
>> close to 1 and in fact the added offset should be a/(2*b). So I think
>> this is clearly a bug and should be removed!
>>
>> Andras, can you please change the code to
>>
>>   async command uint32_t Atm128Calibrate.calibrateMicro(uint32_t n) {
>>     return scale32(n, cycles, MAGIC);
>>   }
>>
>>   async command uint32_t Atm128Calibrate.actualMicro(uint32_t n) {
>>     return scale32(n, MAGIC, cycles);
>>   }
>>
>> and rerun your experiments? David, can you confirm that this is indeed a bug?
>
> Yes, your summary is correct (except that the ideal offset would be
> b/2a, which would be ~1/2).
> It might be worth forcing the result to be at least 1 as well - do we
> want calibrateMicro(1)/actualMicro(1) to sometimes give 0?

Yes, you are right. Attached is a code that calculates ROUND(x*a/b),
and I think we should use this instead of FLOOR(x*a/b). We should
change this after the next release.

I do not think we should care if something becomes 0, since the Alarms
take care of that, or people can check it manually, especially then
the input must be close to 0 too.

Andreas, did you manage to run some tests?

Miklos

Attachment: scale.h
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