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Re: profesional bignum arithmetic in c, how done?

From bartekltg <bartekltg@gmail.com>
Newsgroups comp.lang.c
Subject Re: profesional bignum arithmetic in c, how done?
Date 2015-09-12 20:32 +0200
Organization ATMAN - ATM S.A.
Message-ID <mt1r3l$rb4$1@node2.news.atman.pl> (permalink)
References (8 earlier) <meq7va9qua5b69ntrtsscgkipael6l9sdj@4ax.com> <dfacea7c-3341-4d3a-ac77-e15126779074@googlegroups.com> <mt1ab6$a2g$1@speranza.aioe.org> <21f36531-0090-4384-9957-d8e9b47d4364@googlegroups.com> <mt1lrb$4fp$1@dont-email.me>

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On 12.09.2015 19:04, Bartc wrote:
> On 12/09/2015 15:21, fir wrote:
>
>>> It does get harder when you need bignum divisor.
>>>
>>>
>> but how to do it exactly? some hints?
>>
>> say i got such 32-bit chunk vectors
>>
>> 0008768376 - 1653656387 - 0437673667 - 0123767614 - 1039873878 -
>> 2231712290
>>   /
>> 0038768167 - 3276287672 - 1665265628
>>
>> what i need to divide by what?
>
> Are the most significant chunks first? Then just label them like this:
>
>   (B5 B4 B3 B2 B1 B0) / (A2 A1 A0)
>
> Each Bi or Ai is a chunk or digit. It could correspond to:
>
>   348978 / 651
>
> Where B5 is, B3 is 4 and so on. The logic is the same (but I'm not going
> do it for you; it does my head in and I've already done by fair share).
>
> It works a bit like school long-division:
>
>            __________________
>   A2 A1 A0 |B5 B4 B3 B2 B1 B0
>
> Here, with A being 3 'digits', you clearly start by seeing how many
> times it goes into the first 3 digits of B (B5 B4 B3). Take care however
> because the result will be 0 to 2**32-1, not 0 to 9; you can't keep it
> simple by just repeatedly subtracting A210 from B543 because it could
> take a long time!

Some libraries try to do it a bit simpler.


 From boost/multiprecision/cpp_int/divide.hpp
(this is c++, but the description is universal)

" Very simple, fairly braindead long division.
     Start by setting the remainder equal to x, and the
     result equal to 0.  Then in each loop we calculate our
     "best guess" for how many times y divides into r,
     add our guess to the result, and subtract guess*y
     from the remainder r.  One wrinkle is that the remainder
     may go negative, in which case we subtract the current guess
     from the result rather than adding.  The value of the guess
     is determined by dividing the most-significant-limb of the
     current remainder by the most-significant-limb of y.

     Note that there are more efficient algorithms than this
     available, in particular see Knuth Vol 2.  However for small
     numbers of limbs this generally outperforms the alternatives
     and avoids the normalisation step which would require extra storage."

I would prefer something like guess =  A2 A1 / B5


bartekltg

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profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-01 01:22 -0700
  Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-01 02:29 -0700
    Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 11:10 +0100
      Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-01 12:40 +0200
        Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 12:06 +0100
          Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-01 13:28 +0200
            Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 13:07 +0100
              Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-01 14:15 +0200
              Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-01 09:12 -0700
              Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-01 12:53 -0700
              Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-27 01:07 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-27 02:30 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-27 03:11 -0700
                Re: profesional bignum arithmetic in c, how done? Rosario19 <Ros@invalid.invalid> - 2015-09-27 12:15 +0200
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-27 04:58 -0700
                Re: profesional bignum arithmetic in c, how done? wssimms@gmail.com - 2015-09-27 06:01 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-27 09:40 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-27 03:19 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-27 15:26 -0700
          Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-01 14:02 +0200
            Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 13:43 +0100
              Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-01 16:39 +0200
            Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-02 10:17 +1200
          Re: profesional bignum arithmetic in c, how done? <william@wilbur.25thandClement.com> - 2015-09-01 10:36 -0700
          Re: profesional bignum arithmetic in c, how done? "Chris M. Thomasson" <nospam@nospam.nospam> - 2015-09-01 12:46 -0700
      Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-01 12:49 +0100
        Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-01 05:15 -0700
          Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-01 05:18 -0700
        Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-01 13:32 +0100
          Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-01 13:45 +0100
            Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-01 13:57 +0100
              Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-01 16:35 +0100
            Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-01 06:00 -0700
            Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 14:50 +0100
              Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-01 16:40 +0000
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 18:24 +0100
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-01 18:28 +0100
                Re: profesional bignum arithmetic in c, how done? Noob <root@127.0.0.1> - 2015-09-02 15:22 +0200
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 09:05 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-02 17:55 +0100
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-03 10:20 +0200
                Re: profesional bignum arithmetic in c, how done? James Kuyper <jameskuyper@verizon.net> - 2015-09-03 08:37 -0400
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 15:22 +0100
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-03 07:52 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-01 10:29 -0700
                Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-01 19:45 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-01 12:23 -0700
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-01 11:25 -0700
                Re: profesional bignum arithmetic in c, how done? <william@wilbur.25thandClement.com> - 2015-09-01 11:34 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 20:26 +0100
                Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-01 19:02 +0000
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 20:51 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-01 13:04 -0700
                Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-01 23:11 +0200
                Re: profesional bignum arithmetic in c, how done? jacobnavia <jacob@jacob.remcomp.fr> - 2015-09-01 21:13 +0200
                Re: profesional bignum arithmetic in c, how done? jadill33@gmail.com - 2015-09-01 13:34 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-01 13:46 -0700
                Re: profesional bignum arithmetic in c, how done? jadill33@gmail.com - 2015-09-01 14:43 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-01 15:13 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-02 10:24 +1200
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-01 15:56 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-02 11:03 +1200
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-01 16:19 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-01 17:01 -0700
                Re: profesional bignum arithmetic in c, how done? jacobnavia <jacob@jacob.remcomp.fr> - 2015-09-02 09:40 +0200
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 00:43 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-02 08:58 +0100
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-02 08:49 +0100
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-02 11:37 +0100
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-02 11:48 +0100
                Re: profesional bignum arithmetic in c, how done? jacobnavia <jacob@jacob.remcomp.fr> - 2015-09-02 15:59 +0200
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-02 16:09 +0200
                Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-02 16:00 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-02 08:12 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-02 17:21 +0100
                Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-02 12:54 +0200
                Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-06 15:25 -0700
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-06 17:14 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-06 17:16 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 12:12 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-07 04:42 -0700
                Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-07 14:55 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-07 07:35 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-06 18:19 -0700
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-06 18:25 -0700
                Re: profesional bignum arithmetic in c, how done? jacobnavia <jacob@jacob.remcomp.fr> - 2015-09-07 14:25 +0200
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-07 05:35 -0700
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-07 13:49 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 15:00 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-07 07:24 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-07 07:39 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 16:28 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-07 08:34 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 16:58 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-07 09:16 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 17:18 +0100
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-07 18:05 +0100
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-07 21:31 +0200
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-07 13:19 -0700
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-08 08:56 +0200
                Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-07 18:25 +0200
                Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-07 18:16 +0200
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 17:30 +0100
                Re: profesional bignum arithmetic in c, how done? James Kuyper <jameskuyper@verizon.net> - 2015-09-07 12:44 -0400
                Re: profesional bignum arithmetic in c, how done? James Kuyper <jameskuyper@verizon.net> - 2015-09-07 12:17 -0400
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-07 10:31 +0200
                Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-11 10:26 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 12:05 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-07 04:17 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-07 12:51 +0100
                Re: profesional bignum arithmetic in c, how done? James Kuyper <jameskuyper@verizon.net> - 2015-09-07 12:42 -0400
                Re: profesional bignum arithmetic in c, how done? jacobnavia <jacob@jacob.remcomp.fr> - 2015-09-07 21:07 +0200
                Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-22 04:09 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 02:14 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 02:21 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 03:03 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-02 11:43 +0100
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 08:36 -0700
                Re: profesional bignum arithmetic in c, how done? Robert Wessel <robertwessel2@yahoo.com> - 2015-09-02 15:58 -0500
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 14:16 -0700
                Re: profesional bignum arithmetic in c, how done? Robert Wessel <robertwessel2@yahoo.com> - 2015-09-02 17:11 -0500
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-02 23:55 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-03 01:22 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-03 06:01 -0700
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-03 10:29 +0200
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-03 08:15 +0100
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-03 10:41 +0200
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-03 09:53 +0100
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-03 11:46 +0200
                Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-11 12:59 -0700
                Re: profesional bignum arithmetic in c, how done? Robert Wessel <robertwessel2@yahoo.com> - 2015-09-03 10:24 -0500
                Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-11 13:22 -0700
                Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-11 12:48 -0700
                Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-11 13:27 -0700
                Re: profesional bignum arithmetic in c, how done? Rosario19 <Ros@invalid.invalid> - 2015-09-09 18:37 +0200
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-11 23:02 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-11 23:19 -0700
                Re: profesional bignum arithmetic in c, how done? Rosario19 <Ros@invalid.invalid> - 2015-09-12 11:59 +0200
                Re: profesional bignum arithmetic in c, how done? Rosario19 <Ros@invalid.invalid> - 2015-09-12 12:02 +0200
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-12 04:26 -0700
                Re: profesional bignum arithmetic in c, how done? glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2015-09-12 13:46 +0000
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-12 07:21 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-12 18:04 +0100
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-12 10:58 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-12 19:21 +0100
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-12 12:09 -0700
                Re: profesional bignum arithmetic in c, how done? glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2015-09-13 06:34 +0000
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-13 02:24 -0700
                Re: profesional bignum arithmetic in c, how done? glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2015-09-13 21:49 +0000
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-13 10:56 +0100
                Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-12 20:32 +0200
                Re: profesional bignum arithmetic in c, how done? supercat@casperkitty.com - 2015-09-12 11:47 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-12 21:17 +0100
                Re: profesional bignum arithmetic in c, how done? bartekltg <bartekltg@gmail.com> - 2015-09-12 22:51 +0200
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-12 16:11 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-13 05:26 -0700
                Re: profesional bignum arithmetic in c, how done? glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2015-09-12 18:25 +0000
                Re: profesional bignum arithmetic in c, how done? supercat@casperkitty.com - 2015-09-12 11:34 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Damon <Richard@Damon-Family.org> - 2015-09-12 19:53 -0400
                Re: profesional bignum arithmetic in c, how done? supercat@casperkitty.com - 2015-09-12 18:00 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-02 01:04 -0700
                Re: profesional bignum arithmetic in c, how done? jadill33@gmail.com - 2015-09-02 06:39 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-02 09:27 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 23:22 +0100
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-01 23:13 +0200
            Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-01 16:46 +0200
        Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-01 14:19 +0100
          Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-01 17:20 +0000
        Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-01 06:51 -0700
      Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-01 09:28 -0700
      Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 01:36 +0100
        Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-03 10:46 +0000
          Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 13:46 +0100
            Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 05:53 -0700
              Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-03 15:13 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 06:23 -0700
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-04 13:15 +0200
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 12:38 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-04 05:14 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 05:30 -0700
                Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-04 14:46 +0100
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 15:04 +0100
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-05 15:32 +0200
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-05 15:02 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-05 07:20 -0700
                Re: profesional bignum arithmetic in c, how done? glen herrmannsfeldt <gah@ugcs.caltech.edu> - 2015-09-05 16:57 +0000
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-06 10:50 +0200
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-05 15:58 +0100
                Re: profesional bignum arithmetic in c, how done? James Kuyper <jameskuyper@verizon.net> - 2015-09-05 11:24 -0400
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-04 07:07 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 07:16 -0700
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-05 15:38 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-05 06:48 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-05 07:48 +1200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 12:51 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-05 11:01 +1200
                Re: profesional bignum arithmetic in c, how done? Melzzzzz <mel@zzzzz.com> - 2015-09-05 02:34 +0200
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-05 12:49 +1200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 18:55 -0700
                Re: profesional bignum arithmetic in c, how done? Melzzzzz <mel@zzzzz.com> - 2015-09-05 03:56 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 19:26 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 20:58 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 21:55 -0700
                Re: profesional bignum arithmetic in c, how done? Melzzzzz <mel@zzzzz.com> - 2015-09-05 07:19 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 22:30 -0700
                Re: profesional bignum arithmetic in c, how done? Melzzzzz <mel@zzzzz.com> - 2015-09-05 07:35 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 22:48 -0700
                Re: profesional bignum arithmetic in c, how done? Melzzzzz <mel@zzzzz.com> - 2015-09-05 07:52 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-06 11:45 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-06 17:58 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-06 20:52 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-07 16:10 +1200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-07 04:09 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-04 15:03 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-05 11:02 +1200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 05:27 -0700
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-04 15:45 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 07:03 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 16:03 +0100
                Re: profesional bignum arithmetic in c, how done? jadill33@gmail.com - 2015-09-04 08:35 -0700
                Re: profesional bignum arithmetic in c, how done? gazelle@shell.xmission.com (Kenny McCormack) - 2015-09-04 15:55 +0000
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 17:25 +0100
                Re: profesional bignum arithmetic in c, how done? gazelle@shell.xmission.com (Kenny McCormack) - 2015-09-04 16:53 +0000
                Re: profesional bignum arithmetic in c, how done? Robert Wessel <robertwessel2@yahoo.com> - 2015-09-04 11:59 -0500
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 18:12 +0100
                Re: profesional bignum arithmetic in c, how done? Robert Wessel <robertwessel2@yahoo.com> - 2015-09-04 12:35 -0500
                Re: professional bignum arithmetic in c, how done? gazelle@shell.xmission.com (Kenny McCormack) - 2015-09-04 17:59 +0000
                Re: professional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 11:31 -0700
                Re: professional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 20:27 +0100
                Re: professional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 12:39 -0700
                Re: professional bignum arithmetic in c, how done? Melzzzzz <mel@zzzzz.com> - 2015-09-04 22:13 +0200
                Re: professional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 13:30 -0700
                Re: professional bignum arithmetic in c, how done? Steve Thompson <stevet810@gmail.com> - 2015-09-04 20:33 +0000
                Re: professional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-04 14:26 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 20:14 +0100
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 17:11 +0100
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 14:24 +0100
                Re: profesional bignum arithmetic in c, how done? wssimms@gmail.com - 2015-09-04 19:20 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-05 02:26 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-05 11:02 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-05 03:28 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-05 23:17 +1200
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-05 15:01 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-05 04:29 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-05 04:47 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-05 05:14 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-05 13:17 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-05 05:37 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-05 05:32 -0700
                Re: profesional bignum arithmetic in c, how done? Robert Wessel <robertwessel2@yahoo.com> - 2015-09-05 09:46 -0500
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-05 16:11 +0100
                Re: profesional bignum arithmetic in c, how done? Robert Wessel <robertwessel2@yahoo.com> - 2015-09-07 00:07 -0500
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-05 11:39 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-05 04:24 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-05 12:32 +0100
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-05 13:30 +0100
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-05 13:43 +0100
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-05 05:47 -0700
                Re: profesional bignum arithmetic in c, how done? wssimms@gmail.com - 2015-09-05 05:48 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-05 05:56 -0700
                Re: profesional bignum arithmetic in c, how done? wssimms@gmail.com - 2015-09-05 07:38 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-05 10:16 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-05 12:09 -0700
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-05 06:00 -0700
                Re: profesional bignum arithmetic in c, how done? wssimms@gmail.com - 2015-09-05 06:15 -0700
                Re: profesional bignum arithmetic in c, how done? wssimms@gmail.com - 2015-09-05 07:12 -0700
                Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-05 15:05 +0000
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-05 17:32 +0100
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-05 15:44 +0100
                Re: profesional bignum arithmetic in c, how done? wssimms@gmail.com - 2015-09-05 08:17 -0700
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-05 15:29 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-05 15:40 -0700
                Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-13 08:07 -0700
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-05 14:59 -0700
            Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-03 15:48 +0100
            Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-03 16:24 +0000
              Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-03 09:46 -0700
                Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-03 18:02 +0100
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-03 11:47 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 11:54 -0700
                Re: profesional bignum arithmetic in c, how done? David Brown <david.brown@hesbynett.no> - 2015-09-03 22:40 +0200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 13:50 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 13:54 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 20:04 +0100
              Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 18:41 +0100
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-03 12:01 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 20:21 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 12:28 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 12:55 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 20:55 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 13:05 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 21:33 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 13:41 -0700
                Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-03 22:22 +0100
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 14:34 -0700
                Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-03 23:52 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-03 17:30 -0700
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-04 12:41 +1200
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 06:19 -0700
                Re: profesional bignum arithmetic in c, how done? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-09-04 16:38 +0100
                Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-04 08:51 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-04 09:50 -0700
                Re: profesional bignum arithmetic in c, how done? jadill33@gmail.com - 2015-09-03 13:50 -0700
                Re: profesional bignum arithmetic in c, how done? Keith Thompson <kst-u@mib.org> - 2015-09-03 16:29 -0700
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 01:44 +0100
                Re: profesional bignum arithmetic in c, how done? Ian Collins <ian-news@hotmail.com> - 2015-09-04 08:50 +1200
          Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-03 07:14 -0700
            Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-03 15:48 +0100
              Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-03 09:16 -0700
                Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-03 09:19 -0700
            Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-03 22:58 +0000
              Re: profesional bignum arithmetic in c, how done? Malcolm McLean <malcolm.mclean5@btinternet.com> - 2015-09-03 17:13 -0700
                Re: profesional bignum arithmetic in c, how done? jt@toerring.de (Jens Thoms Toerring) - 2015-09-04 01:58 +0000
                Re: profesional bignum arithmetic in c, how done? Bartc <bc@freeuk.com> - 2015-09-04 11:22 +0100
      Re: profesional bignum arithmetic in c, how done? gordonb.cr5il@burditt.org (Gordon Burditt) - 2015-09-04 21:26 -0500
      Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-13 06:12 -0700
    Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-01 12:59 -0700
  Re: profesional bignum arithmetic in c, how done? "Rick C. Hodgin" <rick.c.hodgin@gmail.com> - 2015-09-07 05:20 -0700
  Re: profesional bignum arithmetic in c, how done? James Dow Allen <jdallen2000@yahoo.com> - 2015-09-13 03:19 -0700
    Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-09-13 04:11 -0700
    Re: profesional bignum arithmetic in c, how done? Richard Heathfield <rjh@cpax.org.uk> - 2015-09-13 14:06 +0100
    Re: profesional bignum arithmetic in c, how done? Tim Rentsch <txr@alumni.caltech.edu> - 2015-09-26 15:54 -0700
  Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-10-12 00:54 -0700
    Re: profesional bignum arithmetic in c, how done? Rosario19 <Ros@invalid.invalid> - 2015-10-12 19:50 +0200
      Re: profesional bignum arithmetic in c, how done? fir <profesor.fir@gmail.com> - 2015-10-12 23:49 -0700

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