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Groups > comp.lang.c++ > #69703

Re: two's complement idea

From David Brown <david.brown@hesbynett.no>
Newsgroups comp.lang.c++
Subject Re: two's complement idea
Date 2019-11-10 17:08 +0100
Organization A noiseless patient Spider
Message-ID <qq9cli$9ee$1@dont-email.me> (permalink)
References (8 earlier) <2105cdc6-bdd7-4908-9461-b7ffe1383cc1@googlegroups.com> <qq3p39$f7g$1@dont-email.me> <9bec0170-dcbe-4ec3-8c4f-c3bec03e865e@googlegroups.com> <qq8v49$ncg$1@dont-email.me> <qq93qu$ka8$1@dont-email.me>

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On 10/11/2019 14:37, Alf P. Steinbach wrote:
> On 10.11.2019 13:17, David Brown wrote:
>> [snip]
>> Remember, features like gcc's "-ffast-math" do not instruct the 
>> compiler to ignore parts of the /C/ standard - they ignore parts of 
>> the IEEE floating point standards.  This is a very different matter.  
>> As far as I know, "gcc -ffast-math" is no more non-compliant than "gcc".
> 
> Possibly you're talking about C only, I'm not sure of the wider thread 
> context here.
> 
> Sorry for jumping in.

Feel free!

> 
> However, with C++ the `-ffast-math` option for g++ is in conflict with 
> the standard because `numeric_limits` then still reports IEEE 754 
> compliance, while e.g. NaN comparisons are then non-compliant.

Fair enough - that's a good point.

> 
> I remember once engaging in a heated (!) debate with Gabriel Dos Reis 
> about this, so it's possible to have different opinions about it, even 
> among knowledgeable people, for certain.

I could imagine a difference of opinion here - "gcc -ffast-math" has 
IEEE standard formats but not IEEE standard operations.

> 
> IMO the fast and the compliant floating point types should at least by 
> default be differently named types, not the same type with different 
> behavior depending on an option.

The compiler does require an explicit option here for non-IEEE 
operations - it is (baring bugs or missing features - I don't know the 
details) IEEE standard by default.

There is always a balance on these things.  "-ffast-math" can be very 
much faster than IEEE standard behaviour on many platforms, and is 
perfectly acceptable for most people's use of floating point.  Why 
should the majority have slower code (and perhaps worse accuracy) just 
because some few scientific users need identical results consistent 
across platforms?

I'd actually say my preferred solution is that strict IEEE types should 
be a different, specific types that programmers can pick explicitly, 
while "-ffast-math" equivalent could be the default.  The 
"numeric_limits" could differentiate between the representation and the 
operations (the same should apply to signed integers, differentiating 
between representation and wrapping overflow behaviour), and 
implementations should set the values here according to what they 
guarantee regardless of flags.

> 
> So I regard it as a quite nasty design bug.
> 

"Bug" implies a mistake.  This is a design choice, on which people 
disagree - not a bug.

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Thread

two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-04 20:48 +0100
  Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-04 21:19 +0100
    Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-04 14:39 -0800
      Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-05 10:31 +0100
        Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-05 11:23 +0100
          Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-05 15:43 +0100
            Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-05 16:58 +0100
              Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-05 21:45 +0200
                Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-06 13:33 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 13:51 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-06 14:37 +0100
                Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-06 15:38 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 15:53 +0100
                Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2019-11-06 10:06 -0500
                Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2019-11-06 17:00 +0100
                Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-06 17:47 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 17:54 +0100
                Re: two's complement idea Bo Persson <bo@bo-persson.se> - 2019-11-06 20:00 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 20:13 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-06 20:44 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-06 20:36 +0100
                Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-06 22:54 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-07 00:52 +0100
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-06 17:54 +0200
                Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-06 18:15 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 18:33 +0100
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-06 10:55 -0800
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 20:15 +0100
                Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-06 20:53 +0100
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-06 22:25 +0200
                Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-06 23:05 +0100
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-07 10:23 +0200
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-06 22:20 +0100
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-06 22:12 +0200
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2019-11-09 06:24 -0800
                Re: two's complement idea Siri Cruise <chine.bleu@yahoo.com> - 2019-11-09 07:14 -0700
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-10 11:52 +0100
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-10 16:31 +0200
                Re: two's complement idea Manfred <noname@invalid.add> - 2019-11-10 19:02 +0100
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-11 12:08 +0200
                Re: two's complement idea scott@slp53.sl.home (Scott Lurndal) - 2019-11-11 13:59 +0000
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2019-11-11 17:09 +0200
                Re: two's complement idea Richard Damon <Richard@Damon-Family.org> - 2019-11-18 07:40 -0500
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2019-11-28 12:27 -0800
                Re: two's complement idea cdalten@gmail.com - 2020-01-24 05:39 -0800
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-01-24 17:53 +0200
                Re: two's complement idea Jorgen Grahn <grahn+nntp@snipabacken.se> - 2020-01-24 17:31 +0000
              Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-05 21:48 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 07:08 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-06 09:30 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-06 09:57 +0100
        Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-05 09:02 -0800
          Re: two's complement idea scott@slp53.sl.home (Scott Lurndal) - 2019-11-05 17:15 +0000
            Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-05 10:19 -0800
          Re: two's complement idea Manfred <noname@invalid.add> - 2019-11-05 19:31 +0100
            Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-05 11:55 -0800
              Re: two's complement idea Manfred <noname@add.invalid> - 2019-11-05 22:48 +0100
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-05 15:49 -0800
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2019-11-09 06:13 -0800
                Re: two's complement idea Manfred <noname@invalid.add> - 2019-11-10 18:37 +0100
            Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-05 23:14 +0100
          Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-05 23:00 +0100
            Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-06 05:26 -0800
              Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-06 21:50 +0100
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-08 02:01 -0800
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-08 14:03 +0100
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-08 12:08 -0800
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-10 13:17 +0100
                Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2019-11-10 14:37 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-10 17:08 +0100
                Re: two's complement idea Manfred <noname@invalid.add> - 2019-11-10 18:34 +0100
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2019-11-11 07:48 +1300
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-10 21:31 +0100
  Re: two's complement idea Bo Persson <bo@bo-persson.se> - 2019-11-04 23:55 +0100
    Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-05 10:32 +0100
  Re: two's complement idea Siri Cruise <chine.bleu@yahoo.com> - 2019-11-04 19:55 -0700
    Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2019-11-05 05:52 +0100
      Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2019-11-05 18:17 +1300
      Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2019-11-09 05:55 -0800
        Re: two's complement idea Siri Cruise <chine.bleu@yahoo.com> - 2019-11-09 06:33 -0700
          Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-09 07:46 -0800
        Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-09 06:46 -0800
          Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2019-11-28 12:19 -0800
            Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2019-11-29 00:14 +0100
              Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-29 09:15 +0100
                Re: two's complement idea Bo Persson <bo@bo-persson.se> - 2019-11-29 10:58 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2019-11-29 12:49 +0100
              Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2019-12-07 07:53 -0800
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-12-07 08:22 -0800
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-10 20:44 -0800
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-10 23:44 -0800
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-14 07:08 -0800
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-14 08:42 -0800
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-21 02:09 -0800
                Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2020-01-21 05:14 -0800
                Re: two's complement idea Daniel <danielaparker@gmail.com> - 2020-01-21 13:08 -0800
                Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2020-01-22 00:07 -0500
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-21 23:21 -0800
                Re: two's complement idea Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-01-22 01:51 -0800
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-22 11:28 +0100
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2020-01-22 11:52 +0100
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-22 04:47 -0800
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-04-02 07:19 -0700
                Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2020-04-02 08:07 -0700
                Re: two's complement idea boltar@nowhere.org - 2020-01-21 16:44 +0000
                Re: two's complement idea Jorgen Grahn <grahn+nntp@snipabacken.se> - 2020-01-21 20:01 +0000
                Re: two's complement idea boltar@nowhere.org - 2020-01-22 11:26 +0000
                Re: two's complement idea Christian Gollwitzer <auriocus@gmx.de> - 2020-01-22 20:04 +0100
                Re: two's complement idea Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-01-22 11:30 -0800
                Re: two's complement idea Chris Vine <chris@cvine--nospam--.freeserve.co.uk> - 2020-01-22 19:57 +0000
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-23 10:03 +1300
                Re: two's complement idea boltar@nowhere.org - 2020-01-23 09:24 +0000
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-24 07:29 +1300
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-23 10:03 +1300
                Re: two's complement idea "Fred. Zwarts" <F.Zwarts@KVI.nl> - 2020-01-23 10:09 +0100
                Re: two's complement idea boltar@nowhere.org - 2020-01-23 09:29 +0000
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-24 01:08 +0000
                Re: two's complement idea boltar@nowhere.org - 2020-01-24 12:27 +0000
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-24 01:06 +0000
                Re: two's complement idea Bo Persson <bo@bo-persson.se> - 2020-01-24 10:07 +0100
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-01-24 11:36 +0200
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-24 17:34 -0800
                Re: two's complement idea Siri Cruise <chine.bleu@yahoo.com> - 2020-01-24 17:57 -0800
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-24 12:19 +0000
                Re: two's complement idea Bo Persson <bo@bo-persson.se> - 2020-01-24 14:19 +0100
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-24 14:11 +0000
                Re: two's complement idea Jorgen Grahn <grahn+nntp@snipabacken.se> - 2020-01-24 17:26 +0000
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-24 17:35 +0000
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-01-24 22:27 +0200
                Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2020-01-24 23:21 -0500
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-25 11:06 +1300
                Re: two's complement idea Jorgen Grahn <grahn+nntp@snipabacken.se> - 2020-01-24 22:12 +0000
                Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2020-01-24 23:24 -0500
                Re: two's complement idea Jorgen Grahn <grahn+nntp@snipabacken.se> - 2020-01-25 09:04 +0000
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-25 04:15 -0800
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-25 19:55 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-25 00:05 +0100
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-25 01:19 +0000
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-25 19:50 +1300
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-25 11:57 +0000
                Re: two's complement idea Chris Vine <chris@cvine--nospam--.freeserve.co.uk> - 2020-01-25 13:42 +0000
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-25 14:58 +0000
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-26 07:58 +1300
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-25 20:34 +0100
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-25 12:41 -0800
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-01-26 16:08 +0200
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-27 02:20 -0800
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-01-27 15:03 +0200
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-02-15 06:44 -0800
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-03-06 10:18 +0200
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-04-02 07:05 -0700
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-04-02 20:03 +0300
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-04-04 12:37 -0700
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-26 07:45 +1300
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-25 19:56 +0000
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-26 09:49 +1300
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-25 21:33 +0000
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-26 11:00 +1300
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-25 22:23 +0000
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-26 11:46 +1300
                Re: two's complement idea Paavo Helde <myfirstname@osa.pri.ee> - 2020-01-26 10:55 +0200
                Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2020-01-26 03:47 -0800
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-27 01:28 -0800
                Re: two's complement idea Jorgen Grahn <grahn+nntp@snipabacken.se> - 2020-01-25 22:22 +0000
                Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2020-01-25 18:24 -0500
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-26 12:54 +0100
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-26 12:44 +0000
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-26 14:58 +0100
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-26 14:53 +0000
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-26 19:10 +0100
                Re: two's complement idea Robert Wessel <robertwessel2@yahoo.com> - 2020-01-26 13:20 -0600
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-26 20:51 +0000
                Re: two's complement idea Robert Wessel <robertwessel2@yahoo.com> - 2020-01-26 21:02 -0600
                Re: two's complement idea Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-01-26 19:06 -0800
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-27 18:50 +0000
                Re: two's complement idea Robert Wessel <robertwessel2@yahoo.com> - 2020-01-27 14:18 -0600
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-27 22:13 +0100
                Re: two's complement idea Bart <bc@freeuk.com> - 2020-01-27 21:38 +0000
                Re: two's complement idea Robert Wessel <robertwessel2@yahoo.com> - 2020-01-27 19:37 -0600
                Re: two's complement idea Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-01-27 19:15 -0800
                Re: two's complement idea "Fred. Zwarts" <F.Zwarts@KVI.nl> - 2020-01-28 11:45 +0100
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-27 16:31 +1300
                Re: two's complement idea Manfred <noname@add.invalid> - 2020-01-26 18:50 +0100
                Re: two's complement idea Jorgen Grahn <grahn+nntp@snipabacken.se> - 2020-01-26 18:57 +0000
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-26 20:46 +0100
                Re: two's complement idea Robert Wessel <robertwessel2@yahoo.com> - 2020-01-26 13:14 -0600
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-26 22:15 +0100
                Re: two's complement idea Robert Wessel <robertwessel2@yahoo.com> - 2020-01-27 21:06 -0600
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-28 13:08 +0100
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-27 01:50 -0800
                Re: two's complement idea Ian Collins <ian-news@hotmail.com> - 2020-01-27 08:21 +1300
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-25 20:14 +0100
                Re: two's complement idea David Brown <david.brown@hesbynett.no> - 2020-01-25 20:12 +0100
                Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-27 07:48 -0800
                Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2020-02-18 18:46 +0100
        Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-09 17:03 +0100
    Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-05 06:56 +0100
      Re: two's complement idea Christian Gollwitzer <auriocus@gmx.de> - 2019-11-05 08:24 +0100
        Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2019-11-05 08:35 +0100
        Re: two's complement idea Öö Tiib <ootiib@hot.ee> - 2019-11-04 23:36 -0800
          Re: two's complement idea James Kuyper <jameskuyper@alumni.caltech.edu> - 2019-11-05 09:19 -0500
  Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2020-01-22 08:32 +0100
    Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2020-01-22 09:23 +0100
      Re: two's complement idea Bonita Montero <Bonita.Montero@gmail.com> - 2020-01-22 14:20 +0100
        Re: two's complement idea Chris Vine <chris@cvine--nospam--.freeserve.co.uk> - 2020-01-22 13:37 +0000
      Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-01-27 01:17 -0800
        Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2020-01-27 12:35 +0100
          Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-02-15 05:56 -0800
            Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2020-02-16 09:17 +0100
              Re: two's complement idea Richard Damon <Richard@Damon-Family.org> - 2020-02-21 19:35 -0500
                Re: two's complement idea "Alf P. Steinbach" <alf.p.steinbach+usenet@gmail.com> - 2020-02-22 07:01 +0100
              Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-02-24 08:22 -0800
      Re: two's complement idea cross@spitfire.i.gajendra.net (Dan Cross) - 2020-02-24 03:12 +0000
        Re: two's complement idea cdalten@gmail.com - 2020-02-24 05:53 -0800
        Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-02-25 07:56 -0800
          Re: two's complement idea cross@spitfire.i.gajendra.net (Dan Cross) - 2020-02-25 22:00 +0000
            Re: two's complement idea Tim Rentsch <tr.17687@z991.linuxsc.com> - 2020-02-25 16:14 -0800
              Re: two's complement idea cdalten@gmail.com - 2020-02-25 18:18 -0800
              Re: two's complement idea cross@spitfire.i.gajendra.net (Dan Cross) - 2020-02-26 02:22 +0000

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