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Groups > comp.lang.c > #164144

Re: How to avoid an overflow during multiplication?

From Ben Bacarisse <ben.usenet@bsb.me.uk>
Newsgroups comp.lang.c
Subject Re: How to avoid an overflow during multiplication?
Date 2021-12-31 12:33 +0000
Organization A noiseless patient Spider
Message-ID <8735m954yz.fsf@bsb.me.uk> (permalink)
References <sqmkg9$157v$1@gioia.aioe.org>

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Mateusz Viste <mateusz@xyz.invalid> writes:

> I have this little function:
>
> /* converts an amount of ticks into human time (micro-seconds)
>  * timeunits: number of ticks to convert into actual time
>  * tempo    : the time length (in microseconds) of grouplen ticks
>  */
> uint32_t ticks2time(uint32_t ticks, uint32_t grouplen, uint16_t tempo)
> {
>   return ticks * tempo / grouplen;
> }
>
> In practical situations the end result of this computation is
> guaranteed to always fit inside an uint32_t, but the above formula
> overflows easily in the (ticks * tempo) part.

There's a technical detail here which is that in C unsigned arithmetic
can't overflow.  Arithmetic overflow is reserved for serious undefined
situation.  Unsigned arithmetic just "wraps round" in a defined manner.

But there's nothing unclear about your question: the result is always <=
UINT32_MAX, but ticks * tempo isn't.  You want to know how to calculate
the result correctly in all cases.

Interesting question.  The obvious way is to use a wider type for the
multiplication (uint_least64_t) but that's probably not what you want.

> The easy & stupid way to avoid this overflow would be this:
>
> return ticks * (tempo / grouplen);
>
> ...but it's obviously not a good solution, since it may loose a lot of
> resolution. The hacky compromise that I currently use is this:
>
> return ticks * (((tempo << 3) / grouplen) >> 3);

I don't think this helps.  I think that (when tempo << 3 does not wrap)
you get the same result as the original.  Maybe I'm missing something.

> It works fine in my practical tests, so I might just as well be done
> with it, but I wonder if there is a cleaner approach to such seemingly
> simple problem?

I feel there should be a way, but I can't think of one right now.

> I should also add that this part of the program is performance
> critical, so I cannot afford branching or any other expensive
> computations. It's also worth noting that "grouplen" is guaranteed to
> be a positive number that never changes across the calls of the
> function (which, in truth, is not even a function, but it was easier to
> format it as such for this exercise).

Since grouplen does not change, can you find, at the start, gl1 and gl2,
ideally close to the square root of grouplen, so that you can use

  (ticks / gl1) * (tempo / gl2)

instead?  Obviously you may not be able to find such numbers, but there
may be constraints on grouplen that make this work.

> Mateusz
>

-- 
Ben.

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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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