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Groups > comp.lang.c > #164262

Re: How to avoid an overflow during multiplication?

From Mateusz Viste <mateusz@xyz.invalid>
Newsgroups comp.lang.c
Subject Re: How to avoid an overflow during multiplication?
Date 2022-01-04 09:43 +0100
Organization . . .
Message-ID <sr11bc$1thv$2@gioia.aioe.org> (permalink)
References (5 earlier) <uint32_t-20220101030736@ram.dialup.fu-berlin.de> <PS-20220101032942@ram.dialup.fu-berlin.de> <sqqroj$4ef$1@dont-email.me> <formula-20220102025135@ram.dialup.fu-berlin.de> <sr0m4h$vu3$1@dont-email.me>

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2022-01-04 at 00:32 -0500, James Kuyper wrote:
> Simpler:
> 	naive_correct * 100.0 / count;

I'm not sure if you guys still talk about the original case, but if so,
then there is no FPU on the target system. Ie. floats and doubles are
prohibited. Just sayin'.

> The OP has only given a few indications of the range of values for
> grouplen: 1. It's passed through a uint32_t interface, implying that
> it's at least possible for it to be > UINT16_MAX.
> 2. He's said it never changes.
> 3. He gave 15730 as an example of a real-world value.
> 4. He indicated that tempo/grouplen  is typically about 100. Since
> tempo is passed as a uint16_t value, that would imply that grouplen is
> normally much smaller than UINT16_MAX.
> 
> All in all, it sounds likely ticks, tempo, and grouplen usually
> (though not necessarily always) have values that allow the formula
> a*b/c = (a/c)*b + (a%c)*b/c to be valid when using a 32-bit type.

That is correct, yes. In fact even the original formula was working
fine on 95%+ of cases: (ticks * tempo) / grouplen

It broke up when I've got a file with an unusually high tempo value:
1090909.

Now, to clarify the context, here's what the values are really:

"grouplen" is a MIDI time division (16-bit):
https://www.recordingblogs.com/wiki/time-division-of-a-midi-file

"tempo" is a MIDI tempo value (24-bit, but usually between 300 and
1000000):
http://midi.teragonaudio.com/tech/midifile/tempo.htm

"ticks" is a MIDI delta-time (up to 28 bits, but usually between 0 and
10*tempo):
http://midi.teragonaudio.com/tech/midifile/vari.htm


Mateusz

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Thread

How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 11:02 +0100
  Re: How to avoid an overflow during multiplication? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-12-31 12:33 +0000
  Re: How to avoid an overflow during multiplication? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-12-31 12:33 +0000
    Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 14:24 +0100
      Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 15:00 +0100
        Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-31 11:38 -0800
          Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 20:49 +0100
            Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-12-31 18:37 -0500
              Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-01 17:48 +0100
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-21 05:51 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-21 15:59 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-21 16:19 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-21 16:51 +0100
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-21 12:08 -0500
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-21 18:14 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-21 18:25 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-21 20:53 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-21 22:22 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-22 13:05 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-22 13:53 +0100
                Re: How to avoid an overflow during multiplication? Richard Damon <Richard@Damon-Family.org> - 2022-01-22 08:31 -0500
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-22 15:53 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-22 16:46 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-24 09:33 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-24 10:15 +0100
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-22 10:03 -0800
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-23 12:28 +0100
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-01-23 11:48 +0000
                Re: How to avoid an overflow during multiplication? Öö Tiib <ootiib@hot.ee> - 2022-01-23 08:36 -0800
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-01-23 16:55 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-23 19:17 -0800
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-21 12:11 -0500
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-21 18:28 +0100
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-21 12:59 -0500
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-21 17:23 +0000
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-21 18:35 +0100
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-21 18:06 +0000
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-21 20:04 +0100
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-21 19:14 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-21 17:02 -0800
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-22 16:59 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-24 08:01 -0800
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-24 16:24 +0000
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-24 17:38 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-24 11:28 -0800
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-24 22:44 +0000
                Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-24 15:34 -0800
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-25 14:50 +0000
                Re: How to avoid an overflow during multiplication? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-01-25 18:30 +0000
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-25 18:50 +0000
                Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-25 14:42 -0800
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-25 23:05 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-29 04:54 -0800
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-24 21:50 -0500
                Re: How to avoid an overflow during multiplication? Manfred <invalid@invalid.add> - 2022-01-25 19:24 +0100
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-01-25 18:35 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-29 10:05 -0800
                Re: How to avoid an overflow during multiplication? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-01-21 20:46 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-21 17:32 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-22 09:57 +0100
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-22 09:44 -0800
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-22 15:26 -0500
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-22 14:44 -0800
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-21 23:37 -0800
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-22 12:04 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-24 09:59 +0100
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-02-03 10:24 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-03 21:34 +0100
                Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-02-03 13:33 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-03 22:57 +0100
                Re: How to avoid an overflow during multiplication? Vir Campestris <vir.campestris@invalid.invalid> - 2022-02-03 22:28 +0000
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-03 23:48 +0100
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-02-03 22:17 -0500
                Re: How to avoid an overflow during multiplication? Öö Tiib <ootiib@hot.ee> - 2022-02-04 00:36 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-04 10:49 +0100
                Re: How to avoid an overflow during multiplication? Öö Tiib <ootiib@hot.ee> - 2022-02-04 09:03 -0800
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-02-07 00:52 -0800
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-07 10:03 +0000
                Re: How to avoid an overflow during multiplication? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-02-07 11:22 +0000
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-07 14:58 +0000
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-02-07 09:06 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-04 09:44 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-04 11:06 +0100
                Re: How to avoid an overflow during multiplication? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-02-04 05:53 -0800
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-04 15:27 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-04 15:53 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-05 14:11 +0100
                Re: How to avoid an overflow during multiplication? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-02-05 09:15 -0800
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-04 19:38 +0000
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-05 14:23 +0100
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-05 15:16 +0000
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-05 17:27 +0100
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-05 16:41 +0000
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-06 12:01 +0100
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-06 13:24 +0000
                Re: How to avoid an overflow during multiplication? Manfred <invalid@add.invalid> - 2022-02-05 23:18 +0100
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-02-06 00:11 -0500
                Re: How to avoid an overflow during multiplication? Manfred <noname@add.invalid> - 2022-02-06 18:43 +0100
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-06 15:03 +0100
                Re: How to avoid an overflow during multiplication? "james...@alumni.caltech.edu" <jameskuyper@alumni.caltech.edu> - 2022-02-05 09:38 -0800
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-05 17:57 +0000
                Re: How to avoid an overflow during multiplication? Richard Damon <Richard@Damon-Family.org> - 2022-02-05 13:29 -0500
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-06 15:15 +0100
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-06 14:34 +0000
                Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-02-06 12:56 -0800
                Re: How to avoid an overflow during multiplication? "james...@alumni.caltech.edu" <jameskuyper@alumni.caltech.edu> - 2022-02-05 09:50 -0800
                Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-02-05 18:09 +0000
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-02-04 11:06 -0500
                Re: How to avoid an overflow during multiplication? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-02-04 09:02 -0800
                Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-02-04 11:12 -0800
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-02-04 19:36 -0500
                Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2022-02-04 16:38 +0000
                Re: How to avoid an overflow during multiplication? Vir Campestris <vir.campestris@invalid.invalid> - 2022-02-06 22:08 +0000
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-07 09:11 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-07 09:13 +0100
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-07 09:14 +0100
                Re: How to avoid an overflow during multiplication? Vir Campestris <vir.campestris@invalid.invalid> - 2022-02-07 21:42 +0000
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-07 23:43 +0100
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-02-03 22:35 -0500
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-02-04 21:14 -0800
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-02-05 11:40 +0100
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-02-05 13:46 -0500
                Re: How to avoid an overflow during multiplication? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-02-05 23:30 +0000
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-02-06 00:17 -0500
                Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-02-06 15:21 +0100
                Re: How to avoid an overflow during multiplication? dave_thompson_2@comcast.net - 2022-05-14 12:34 -0400
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-05-15 07:19 -0700
                Re: How to avoid an overflow during multiplication? Andrey Tarasevich <andreytarasevich@hotmail.com> - 2022-05-14 12:04 -0700
                Re: How to avoid an overflow during multiplication? Andrey Tarasevich <andreytarasevich@hotmail.com> - 2022-05-14 12:15 -0700
                Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-05-15 07:25 -0700
            Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-31 15:41 -0800
      Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2021-12-31 16:17 +0100
        Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 16:22 +0100
      Re: How to avoid an overflow during multiplication? Guillaume <message@bottle.org> - 2021-12-31 19:35 +0100
  Re: How to avoid an overflow during multiplication? Bonita Montero <Bonita.Montero@gmail.com> - 2021-12-31 13:53 +0100
    Re: How to avoid an overflow during multiplication? Öö Tiib <ootiib@hot.ee> - 2021-12-31 05:10 -0800
      Re: How to avoid an overflow during multiplication? Bonita Montero <Bonita.Montero@gmail.com> - 2021-12-31 14:25 +0100
      Re: How to avoid an overflow during multiplication? scott@slp53.sl.home (Scott Lurndal) - 2021-12-31 16:16 +0000
        Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 17:32 +0100
    Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 14:31 +0100
      Re: How to avoid an overflow during multiplication? Bonita Montero <Bonita.Montero@gmail.com> - 2021-12-31 14:37 +0100
    Re: How to avoid an overflow during multiplication? "james...@alumni.caltech.edu" <jameskuyper@alumni.caltech.edu> - 2021-12-31 15:21 -0800
      Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-01 13:50 +0100
    Re: How to avoid an overflow during multiplication? Michael S <already5chosen@yahoo.com> - 2022-01-01 10:31 -0800
      Re: How to avoid an overflow during multiplication? Bonita Montero <Bonita.Montero@gmail.com> - 2022-01-01 20:03 +0100
        Re: How to avoid an overflow during multiplication? Bart <bc@freeuk.com> - 2022-01-01 19:18 +0000
          Re: How to avoid an overflow during multiplication? David Brown <david.brown@hesbynett.no> - 2022-01-02 13:38 +0100
  Re: How to avoid an overflow during multiplication? Michael S <already5chosen@yahoo.com> - 2021-12-31 05:37 -0800
    Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 14:55 +0100
      Re: How to avoid an overflow during multiplication? Michael S <already5chosen@yahoo.com> - 2021-12-31 06:12 -0800
        Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 16:11 +0100
          Re: How to avoid an overflow during multiplication? Manfred <noname@add.invalid> - 2021-12-31 20:54 +0100
            Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 21:19 +0100
      Re: How to avoid an overflow during multiplication? Kaz Kylheku <480-992-1380@kylheku.com> - 2021-12-31 15:19 +0000
        Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 16:24 +0100
  Re: How to avoid an overflow during multiplication? Kaz Kylheku <480-992-1380@kylheku.com> - 2021-12-31 15:13 +0000
    Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 17:00 +0100
      Re: How to avoid an overflow during multiplication? Richard Damon <Richard@Damon-Family.org> - 2021-12-31 12:16 -0500
  Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2021-12-31 10:28 -0800
    Re: How to avoid an overflow during multiplication? pa@see.signature.invalid (Pierre Asselin) - 2021-12-31 20:18 +0000
      Re: How to avoid an overflow during multiplication? Manfred <noname@add.invalid> - 2021-12-31 21:27 +0100
      Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 21:39 +0100
      Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-20 19:41 -0800
    Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2021-12-31 21:31 +0100
      Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2021-12-31 17:39 -0800
        Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-02 09:08 -0800
  Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-12-31 19:08 -0500
    Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-12-31 19:45 -0500
      Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-01 18:24 +0100
      Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-01 19:31 -0500
        Re: How to avoid an overflow during multiplication? "james...@alumni.caltech.edu" <jameskuyper@alumni.caltech.edu> - 2022-01-01 16:53 -0800
        Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-04 00:32 -0500
          Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-04 09:43 +0100
            Re: How to avoid an overflow during multiplication? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-01-04 07:20 -0800
              Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-04 18:19 +0100
            Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-04 10:50 -0500
              Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-04 17:37 +0100
                Re: How to avoid an overflow during multiplication? James Kuyper <jameskuyper@alumni.caltech.edu> - 2022-01-04 15:01 -0500
                Re: How to avoid an overflow during multiplication? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-04 21:45 +0100
          Re: How to avoid an overflow during multiplication? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-04 14:21 -0800

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