Re: two's complement idea

From	James Kuyper <jameskuyper@alumni.caltech.edu>
Newsgroups	comp.lang.c++
Subject	Re: two's complement idea
Date	2019-11-05 09:19 -0500
Organization	A noiseless patient Spider
Message-ID	<qps0ef$1jd$1@dont-email.me> (permalink)
References	<qppva0$cbj$1@news.albasani.net> <chine.bleu-5DC1AD.19552804112019@reader.eternal-september.org> <qpr2um$64u$1@news.albasani.net> <qpr82h$ri4$1@dont-email.me> <7e0e7328-a005-47c8-a9e7-2aac4fa615e1@googlegroups.com>

Show all headers | View raw

On 11/5/19 2:36 AM, Öö Tiib wrote:
> On Tuesday, 5 November 2019 09:24:17 UTC+2, Christian Gollwitzer  wrote:
>> Am 05.11.19 um 06:56 schrieb Bonita Montero:
>>
>>>      return (numeric_limits<int>::max() + 1) == numeric_limits<int>::min();
>>
>> Couldn't this in theory format your hard drive (although in practice it 
>> never will)? Or more realistically, always return a false negative from 
>> a zealous optimizer?

The function is_modulo() is supposed to return true if the signed
overflow is defined by the implementation to result in wrap-around as an
extension to C++ (21.3.4.1p62). The behavior is defined by neither the
standard nor the implementation, only if is_modulo() is false. If
undefined behavior causes hasTwosComplementAndWrapAround() to return
false, that means that it does NOT Wrap around, so the function is
returning precisely the result that it's supposed to return.

The important problem is the possibility of a false positive result:
hasTwosComplementAndWrapAround() returning true when signed overflow
does NOT wrap around, which is entirely possible, given that the
alternative to wrapping around is undefined behavior.

> 
> Yes, when numeric_limits<int>::is_modulo is false then the 
> numeric_limits<int>::max() + 1 is undefined behavior.

Note, in particular, that if numeric_limits<T>::is_modulo() is false,
then signed overflow might, for instance, always give a result of
numeric_limits<T>::min(). That would cause Bonita's implementation for
hasTwosComplementAndWrapAround() to return true, despite the fact that
overflow does NOT wrap around.

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

csiph-web