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Groups > comp.lang.c > #70397

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 2015-09-13 06:34 +0000
Organization Aioe.org NNTP Server
Message-ID <mt35ct$50m$1@speranza.aioe.org> (permalink)
References (6 earlier) <mt1ab6$a2g$1@speranza.aioe.org> <21f36531-0090-4384-9957-d8e9b47d4364@googlegroups.com> <mt1lrb$4fp$1@dont-email.me> <643ce701-17a6-4c74-a032-f751f5fb964e@googlegroups.com> <mt1qc1$m1h$1@dont-email.me>

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Bartc <bc@freeuk.com> wrote:
> On 12/09/2015 18:58, fir wrote:

(snip)
>> if dividing
>>     348978 / 651
>> do i div 34/6 ?
>> it would be 5, then i sub 5*651 ?
 
> You would start with 3/651, which gives 0 then you go on to 34/651 then 
> 348/651 then 3489/651. On paper, you get to this last bit instantly just 
> by looking (although it doesn't work then the numbers get /very/ long).

More specifically, 0 remainder 3, 0 remainder 34, and 0 remainder 384.
 
> A computer algorithm can do the same: if the A has N digits, you start 
> looking at the left-most N digits of B (if B has less than N, the answer 
> is 0).

I suppose, but I just let the divide instruction do it.
 
> 3489/651 goes 5 times (the first significant digit) with 234 over.
 
> Now the next part is 2347/651 (3 times, with 394 over), then 3948/651 
> (6, with remainder discarded). The result then is 536.
 
> So the principle works. But doing it with digits that go from 0 to 
> 4294967295 instead of 0 to 9 is trickier. (My main library uses decimal 
> digits of 0 to 999999, within a 32-bit int; it makes printing out 
> results very easy.)

You need the dividend to be at least the base (4294967296) 
times the maximum value of the remainder, where the latter is
one less than the largest divisor. Or, the other way around, the
largest dividend determines the largest divisor you can have before
going to the general (bignum divisor) case. 

There are some pi formulae that use larger divisors, and run just
slightly faster. 


-- 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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