On Sun, 13 Oct 2024 16:06:34 GMT, Raffaello Giulietti <rgiulie...@openjdk.org> 
wrote:

>> What's really crucial for _correctness_ is to ensure maxPowsOf5 >= k.
>> 
>> But for performance you also want maxPowsOf5 to be as small as possible. So, 
>> the fact that it turns out that maxPowsOf5 <= m + 1 guarantees that 
>> maxPowsOf5 is the best value that can be computed very efficiently. It's 
>> more a "quality of service" guarantee than anything fundamental.
>
> Perhaps leave m <= maxPowsOf5 <= m + 1 and maxPowsOf5 >= k and drop the note 
> "and is never off by more than 1 from the theoretical m"

> What's really crucial for _correctness_ is to ensure maxPowsOf5 >= k.

Yes, I meant that the only way we know to ensure that condition is to ensure `m 
<= maxPowsOf5`...

> Perhaps leave m <= maxPowsOf5 <= m + 1 and maxPowsOf5 >= k and drop the note 
> "and is never off by more than 1 from the theoretical m"

I would put `maxPowsOf5 <= m + 2` instead, because `maxPowsOf5 <= m + 1` is not 
obvious to prove mathematically...

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PR Review Comment: https://git.openjdk.org/jdk/pull/21323#discussion_r1798437787

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