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Groups > comp.lang.c > #70365

Re: profesional bignum arithmetic in c, how done?

From glen herrmannsfeldt <gah@ugcs.caltech.edu>
Newsgroups comp.lang.c
Subject Re: profesional bignum arithmetic in c, how done?
Date 2015-09-12 18:25 +0000
Organization Aioe.org NNTP Server
Message-ID <mt1qmm$ibd$1@speranza.aioe.org> (permalink)
References (5 earlier) <7eccd201-3ead-4ae4-8adf-c6eddc2e27c4@googlegroups.com> <meq7va9qua5b69ntrtsscgkipael6l9sdj@4ax.com> <dfacea7c-3341-4d3a-ac77-e15126779074@googlegroups.com> <mt1ab6$a2g$1@speranza.aioe.org> <21f36531-0090-4384-9957-d8e9b47d4364@googlegroups.com>

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fir <profesor.fir@gmail.com> wrote:

(snip, I wrote)
>> Most hardware has a multiply instruction generating a double length
>> product. Many high-level languages don't have this.
 
>> C compilers with (long long) will usually figure out if you cast one
>> or both operands of multiply to (long long) that you want such,
>> and not do the three multiplies by zero.
 
(snip)

>> Division is easy until the divisor gets too big. As with multiply,
>> you want a double length dividend which hardware usually supplies.
 
(snip)

>> It does get harder when you need bignum divisor.
 
> but how to do it exactly? some hints?

Do addition right to left, after each add store the appropriately
wrapped sum into the result, and keep the carry to add to the next
one.

Divide is left to right, dividing by a divisor that isn't bigger
than the base, so 32 bits in your case.
 
> say i got such 32-bit chunk vectors
 
> 0008768376 - 1653656387 - 0437673667 - 0123767614 - 1039873878 - 2231712290
> /
> 0038768167 - 3276287672 - 1665265628
 
> what i need to divide by what?

You might want to divide by 25. Divide the leftmost by 25, store the
quotient in the corresponding position, or overwrite the input.
Take the remainder, shift left (or multiply by the base) add the
next chunk, and repeat. This works as long as the dividend can
be the chunk size plus the divisor (remainder) size. 

-- glen

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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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