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	2022-01-29 10:05 -0800
Organization	A noiseless patient Spider
Message-ID	<86a6femn7g.fsf@linuxsc.com> (permalink)
References	(10 earlier) <86v8y9m8ba.fsf@linuxsc.com> <HoAHJ.12386$1_.5423@fx37.iad> <713da016-3175-4d0b-79b6-698d675c2e04@alumni.caltech.edu> <sspf9d$1877$1@gioia.aioe.org> <zpXHJ.7$h91.1@fx48.iad>

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scott@slp53.sl.home (Scott Lurndal) writes:

> Manfred <invalid@invalid.add> writes:
>
>> On 1/25/2022 3:50 AM, James Kuyper wrote:
>>
>>> On 1/24/22 11:24, Scott Lurndal wrote:
>>>
>>>> Tim Rentsch <tr.17687@z991.linuxsc.com> writes:
>>>
>>> ...
>>>
>>>>> This is comp.lang.c.  My question is about C code, not C++ code.
>>>>> C++ is a completely different animal.
>>>
>>> That's false, but so is the following:
>>>
>>>> No, it's just C with added capabilities.
>>>
>>> The C++ standard devotes 8 pages (C.5) to describing differences between
>>> the way C and C++ handle a variety of issues, and another pair of pages
>>> (C.6) that describe how the version of the C standard library that is
>>> supported as part of the C++ standard library differs from the one
>>> described by the C standard.  That's not a lot out of a standard that
>>> runs 1826 pages, but it not entirely negligible, either.
>>>
>>> Note that those lists do not include the features that C++ has that C
>>> doesn't - they're about differences in the way that features shared
>>> between the two languages work.
>>
>> All true;  it may also be worth recalling that this subthread is about
>> justification of long functions, and that C++ was brought up in this
>> comment:
>>
>>> ... In most cases, they were in bare-metal performance
>>> critical code (operating systems, hypervisors) in C and C++.
>>>
>>> One in particular is the code to handle page table walks in
>>> an ARM64 processor simulator.   Another was handling the fork()
>>> system call in a unix-derived MPP operating system.  Both in C++.
>>
>> Now, it is one of the goals of C++ compared to C to be able to write
>> more efficient and thus more compact code.  I don't think C++ has failed
>> in this respect - the criticism of those who favor C against C++ may be
>> about complexity of the language, or lack of expressiveness in terms of
>> clarity, but not being more verbose than C.
>>
>> In particular, with reference to the example posted elsethread,
>> replacing long 'switch' blocks with more structured constructs is one
>> typical refactoring when porting to C++.
>
> Can you do that form of refactoring (specifically for a text
> formatting function such as the implementation of printf posted
> earlier) without sacrificing performance?  [further C++ remarks
> omitted]

Writing in plain C, it isn't difficult to restructure the posted
printf-like code into multiple small or reasonably sized functions
(no more than 40ish lines, say).  The effort needed isn't trivial
but it isn't really challenging either.

I'm intrigued by the phrase "without sacrificing performance".  I
see no reason to suppose the performance of a restructured version
should be worse than that of the original.  (Of course this means
on average; most likely some cases would be better and others
would be worse, but overall not significantly different.)  So I'm
wondering why someone would think the performance of the original
is going to be better than refactored/restructured alternatives.

Looking at subr_prf.c (from the link posted elsethread) offers a
clue.  The structure of that code is very nearly identical to the
code posted here.  Looking at the copyright dates, it looks like
the subr_prf code was written between about 30 and 35 years ago.
At that time there were two significant differences relative to
today:  processor behavior was less advanced, and compiler
technology was less sophisticated.  Both of these trends make it
more likely that some performance advantage, if there was any, of
that earlier code would not accrue for more modern machines when
using more modern tools.

There are at least two other factors that weigh on the question.
One is workload:  it is quite possible that alternative A would
give better performance than alternative B for one set of inputs,
and vice versa for a different set of inputs, and so which
alternative is better depends on what distribution of inputs is
expected.  Another is operating context:  these days performance
is highly multi-dimensional, being affected by all sorts of things
beyond just what sequence of instructions is executed.  Here again
we might very well see a situation where alternative A is better
in one operating environment whereas alternative B is better in a
different operating environment.  For both of these factors it
would be very unusual to see one alternative give better results
over all points in the space of plausible scenarios.

So it may be the case that the posted code would do better than
some proposed restructing, for its expected workload and intended
operating environment, etc.  Without more specifics, however, the
proposition remains unconvincing.

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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