accuracy of floating point calculations: d vs cpp
drug
drug2004 at bk.ru
Mon Jul 22 17:22:24 UTC 2019
22.07.2019 17:19, drug пишет:
> 22.07.2019 16:26, Guillaume Piolat пишет:
>>>
>>> Typical floating point operations in single-precision like a simple
>>> (a * b) + c will provide a -140dB difference if order is changed.
>>> It's likely the order of operations is not the same in your program,
>>> so the least significant digit should be different.
>>
>> What I would recommend is compute the mean relative error, in double,
>> and if it's below -200 dB, not bother. This is an incredibly low
>> relative error of 0.00000001%.
>> You will have no difficulty making your D program deterministic, but
>> knowing exactly where the C++ and D differ will be long and serve no
>> purpose.
> Unfortunately error has been turned out to be much bigger than I guessed
> before. So obviously there is a problem either on D side or on C++ side.
> Error is too huge to ignore it.
There was a typo in C++ implementation. I did simple-n-dirt Python
version and after the typo fixed all three implementations show the same
result if one filter update occurs. But if several updates happen a
subtle difference exists nevertheless, error accumulates somewhere else
- time for numerical methods using.
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