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Groups > comp.lang.c > #164270

Re: How to avoid an overflow during multiplication?

From Tim Rentsch <tr.17687@z991.linuxsc.com>
Newsgroups comp.lang.c
Subject Re: How to avoid an overflow during multiplication?
Date 2022-01-04 07:20 -0800
Organization A noiseless patient Spider
Message-ID <86bl0ry1ct.fsf@linuxsc.com> (permalink)
References (6 earlier) <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> <sr11bc$1thv$2@gioia.aioe.org>

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Mateusz Viste <mateusz@xyz.invalid> writes:

> [ want to compute the value of  '(ticks * tempo) / grouplen'  ]
> 
> [ that expression ] was working fine on 95%+ of cases
>
> 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

Given this additional information -- in particular, that ticks
and tempo have 32 bit types, and grouplen has a 16 bit type -- a
more exact calculation suggests itself:

    #include <stdint.h>

    uint32_t
    ticks2time( uint32_t ticks, uint32_t tempo, uint16_t grouplen ){
        uint32_t   a = ticks,   b = tempo,   c = grouplen;
        uint32_t   aq = a/c,    ar = a%c,    bq = b/c,    br = b%c;
        return  aq*b + ar*bq + ar*br/c;
    }

with the usual comments about precomputing 'bq' and 'br', if that
turns out to be important.

This approach should give correct values in all cases when the
result fits in 32 bits.

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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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