Sorry, I was overlooked it.
Thank you for your answering.

Masaya


2014-05-30 15:32 GMT+09:00 Nelson Bolyard <nel...@bolyard.me>:

>
> On 2014-05-19 08:16, ???? wrote:
>
>> Hi All,
>>
>> Recently, I read NSS code and have a question about this line
>> <http://dxr.mozilla.org/mozilla-central/source/
>> security/nss/lib/freebl/mpi/mpprime.c#380>
>>
>> )
>> In this line, offset is "offset = prime - (rem / 2)". But I think offset
>> is
>> "offset = prime - rem" because "trial + prime - rem" is multiple of prime
>> (I give detail later).
>>
>> Why offset is "offset = prime - (rem / 2)" ?
>>
>> Thanks for any help.
>>
>
> Please re-read the comment at the beginning of the function. Remember that
> the array "siece" (into which offset is an index) does not represent the
> values "trial+0", "trial+1", "trial+2", but rather represents trial+0,
> trial+2, trial+4, etc.  This is because trial is always odd, and we're not
> interested in even values.  As the comment says:
>
>  |After this function is finished,||if sieve[i] is non-zero, then
>> (trial + 2*i) is composite.|
>>
>
> But I think this computation is still flawed because of the effect it has
> when rem is odd.  So I might change the code to look like this:
>
>  |     if  (rem  == 0) {|
>> |       offset  = 0;|
>> |     }else if (rem & 1)  {|
>> |       offset  = (prime  -rem)  / 2;|
>> |     } else {
>>        offset = prime - (rem / 2);
>>      }|
>>
> This issue doesn't mean that the prime number generator generates bad
> primes.
> It simply means the generator is less efficient than it should be because
> it
> marks some primes as composits.
>
> /Nelson
>
> 123456789012345678901234567890123456789012345678901234567890
> 12345678901234567890
>
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