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Groups > comp.lang.c++ > #81311

Re: rational numbers

From Bart <bc@freeuk.com>
Newsgroups comp.lang.c++
Subject Re: rational numbers
Date 2021-09-18 17:36 +0100
Organization A noiseless patient Spider
Message-ID <si54jt$5ql$1@dont-email.me> (permalink)
References (1 earlier) <si19hm$3cl$1@gioia.aioe.org> <qe11J.71442$QzOf.28358@fx17.iad> <iqkfv1Fb6apU3@mid.individual.net> <si4db4$9oc$1@dont-email.me> <J4n1J.42459$3p3.40193@fx16.iad>

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On 18/09/2021 15:54, Scott Lurndal wrote:
> David Brown <david.brown@hesbynett.no> writes:
>> On 17/09/2021 23:34, Ian Collins wrote:
> 
>>>
>>> Maybe a better compiler would help?  With clang++ and -O2:
>>>
>> Or pretty much any version of gcc with -O2, at least according to my
>> tests on <https://godbolt.org>
>>
>> Maybe Scott has unusual options, or an unusual library, or other
>> surrounding code that affects the results.
> 
> $ gcc --version
> gcc (GCC) 4.8.3 20140911 (Red Hat 4.8.3-7)
> Copyright (C) 2013 Free Software Foundation, Inc.
> This is free software; see the source for copying conditions.  There is NO
> warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
> 
> It's what I had on the system I was posting from, and the code
> was an illustrative example, not from our proprietary production
> code.
> 
>>
>> There are plenty of reasons to dislike C++ output streams (for me, it is
>> the moronic design decision of stateful formatting flags that are the
>> big problem).
> 
> Indeed, and they're completely unreadable.
> 
>>   The quality of code generated for a weird mixture of
>> C-style and C++-style, for an operation that is always big and slow, is
>> not such a concern.
> 
> snprintf makes a single pass over the formatting string.  It's a single
> function call.
> 
> output string streams (the "C++" way) has multiple function calls and
> generates a shitload of code.  And is much less readable and
> not as maintainable.   The arguments about mismatched format
> types is obviated by all modern compilers warning for the *printf
> family arguments.

Both approaches are terrible in my opinion:

C++:   std::cout << "A=" << a << " B=" << b << " C=" << c << std::endl;

C:     printf("A=%d B=%f C=%s\n", a, b, c);

Compared with the equivalent in any of my languages:

M:     println =a, =b, =c

The C++ just looks dreadful (and I keep forgetting the << or writing 
commas instead).

The C has the big problem of needing to tell the compiler the types of 
the expressions you're printing, something it already knows perfectly 
well, since it can warn you when they're wrong!

You might not even know yourself, with a complex expression, or one 
involving opaque types. And they need maintenance as code changes.

My approach is to have print directly supported by the language. It can 
map your code to a series of function calls or, at one time when I 
transpiled to C, into a single synthesised printf call.

Or, possibly you can use a feature such as this in my C compiler:

C (bcc): printf("%=? %=? %=?\n", a, b, c);

where it fills in the format codes. Note the the C example above is ONLY 
valid when a has an int type, b is double or float, and c is char*, 
otherwise those need adjusting. If I reverse the order in my C version:

          printf("%=? %=? %=?\n", c, b, a);

It still works fine. If I try the same in the standard C version, 
without fixing the formats, it crashes. gcc might warn, /if/ you specify 
-Wformat. And then you still need to fix it.


> Performance _does_ matter in some applications - ours can eat a
> 24-core system for lunch, so every cycle matters; especially when
> the customer complains about performance (but then our application
> simulates a full SoC - sufficient to boot multicore linux and run packet
> processing application stacks (e.g DPDK) on the simulator prior
> to hardware availability).

You don't want to make the emulation too good or people won't buy the 
hardware...

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Thread

rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-16 14:59 +0200
  Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-16 16:40 +0300
    Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-16 18:24 +0200
      Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-16 17:05 +0000
        Re: rational numbers Manfred <noname@add.invalid> - 2021-09-16 19:58 +0200
        Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 09:21 +0200
          Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 10:34 +0200
            Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 15:55 +0200
              Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 17:49 +0200
                Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 18:22 +0200
          Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-17 22:07 +1200
            Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 13:32 +0200
              Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-18 09:15 +1200
            Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-17 14:06 +0000
      Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-16 20:41 +0200
        Re: rational numbers Bart <bc@freeuk.com> - 2021-09-16 21:11 +0100
          Re: rational numbers Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-16 21:26 +0100
            Re: rational numbers Bart <bc@freeuk.com> - 2021-09-16 21:54 +0100
            Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-16 23:07 +0200
              Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-16 23:27 +0200
      Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-16 23:12 +0300
        Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 09:50 +0200
          Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-17 11:15 +0200
            Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 19:19 +0200
              Re: rational numbers James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-09-17 19:00 -0400
              Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-18 11:39 +0200
                Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-18 11:56 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-18 11:01 +0100
  Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-17 05:36 +0000
    Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 09:55 +0200
      Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-17 11:16 +0000
        Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-17 18:33 +0200
        Re: rational numbers Tim Rentsch <tr.17687@z991.linuxsc.com> - 2021-10-06 13:06 -0700
    Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-17 14:03 +0000
      Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 17:12 +0200
        Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-17 17:16 +0200
          Re: rational numbers Manfred <noname@add.invalid> - 2021-09-17 18:59 +0200
            Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-17 17:13 +0000
              Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 10:17 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-19 14:07 +0000
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 15:58 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-19 21:53 +0000
      Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-18 09:34 +1200
        Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-18 12:00 +0200
          Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-18 14:54 +0000
            Re: rational numbers Bart <bc@freeuk.com> - 2021-09-18 17:36 +0100
              Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-18 23:29 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 01:09 +0100
                Re: rational numbers red floyd <no.spam.here@its.invalid> - 2021-09-18 23:45 -0700
              Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-18 22:48 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 00:46 +0100
                Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-19 08:06 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 10:26 +0100
              Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 10:23 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 12:04 +0100
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 16:01 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-19 17:39 +0100
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-20 05:25 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 10:37 +0100
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-22 04:58 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 11:26 +0100
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-22 23:13 +1200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 13:45 +0100
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 21:37 +1200
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-22 15:29 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-23 07:26 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-19 21:54 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 00:31 +0100
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 08:33 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 16:11 +0100
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 18:08 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 18:39 +0100
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 19:49 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 19:04 +0100
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-20 21:35 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-20 21:38 +0100
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-21 10:28 +1200
                Re: rational numbers Bo Persson <bo@bo-persson.se> - 2021-09-21 09:08 +0200
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-21 09:39 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 11:12 +0100
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 15:45 +0300
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 14:37 +0100
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 17:09 +0300
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 16:26 +0100
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-21 18:04 +0200
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-21 11:51 -0700
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-22 11:09 +0200
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 15:38 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 15:36 +0000
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-21 15:49 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 16:21 +0000
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 09:21 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 17:45 +0100
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 17:02 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 18:16 +0100
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-21 11:53 -0700
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 20:48 +0100
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 20:23 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 23:29 +0100
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-21 13:47 -0700
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 20:11 +0300
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 18:33 +0100
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 20:43 +0300
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 18:59 +0100
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 21:20 +0300
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 20:32 +0100
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 20:24 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-21 18:52 +0000
                Re: rational numbers Bo Persson <bo@bo-persson.se> - 2021-09-21 18:34 +0200
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-21 01:16 +0300
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-21 00:39 +0100
                Re: rational numbers Manfred <noname@add.invalid> - 2021-09-22 23:45 +0200
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-22 23:51 +0200
                Re: rational numbers Manfred <noname@add.invalid> - 2021-09-23 18:42 +0200
                Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-23 21:52 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 00:17 +0100
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 02:03 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 11:18 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 10:26 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 12:21 +0100
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 12:40 +0100
                Re: rational numbers Richard Damon <Richard@Damon-Family.org> - 2021-09-23 08:05 -0400
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 15:02 +0100
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 08:48 +1200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 23:05 +0100
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 23:47 +0000
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-23 16:56 -0700
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 01:58 +0100
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 01:40 +0000
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-23 19:35 -0700
                Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-24 09:07 -0700
                Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-24 09:21 -0700
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 14:58 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 17:02 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 16:21 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 18:31 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-24 09:12 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 12:10 +0100
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 11:23 +0000
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-24 15:19 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 17:25 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 09:27 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-25 11:07 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 10:14 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-25 11:53 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 11:23 +0000
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-25 12:34 +0000
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-25 15:37 +0300
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-25 15:46 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-25 15:19 +0000
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-25 17:16 +0000
                Re: rational numbers Christian Gollwitzer <auriocus@gmx.de> - 2021-09-27 23:51 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-27 23:41 +0100
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 10:26 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 14:04 +0000
                Re: rational numbers Manfred <noname@add.invalid> - 2021-09-23 17:47 +0200
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 17:07 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 17:08 +0000
                Re: rational numbers Manfred <noname@add.invalid> - 2021-09-23 19:30 +0200
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 10:06 +1200
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-22 05:06 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 10:51 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 10:54 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 11:59 +0100
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 11:04 +0000
                Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 14:17 +0200
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-22 14:32 +0100
                Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 16:23 +0200
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-22 15:18 +0300
                Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 16:16 +0200
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 15:15 +0000
                Re: rational numbers "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2021-09-22 17:57 +0200
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-22 16:05 +0000
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-22 14:13 -0700
                Re: rational numbers HorseyWorsey@the_stables.com - 2021-09-23 09:01 +0000
                Re: rational numbers James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-09-23 12:08 -0400
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-23 10:55 -0700
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-22 20:46 +0300
                Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-22 14:42 -0700
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-23 09:15 +0300
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-22 14:04 +0000
                Re: rational numbers Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-09-22 07:18 -0700
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-23 07:31 +0000
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-23 11:05 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-23 08:28 +0000
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-24 00:51 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-24 04:37 +0000
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 07:46 +0000
                Re: rational numbers "daniel...@gmail.com" <danielaparker@gmail.com> - 2021-09-24 08:59 -0700
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-24 22:49 +0300
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-25 00:55 +0000
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-24 12:17 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-27 05:25 +0000
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-27 11:37 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-28 04:49 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-23 11:29 +0100
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-24 04:38 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-24 11:15 +0100
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 10:19 +0000
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-27 05:34 +0000
                Re: rational numbers scott@slp53.sl.home (Scott Lurndal) - 2021-09-23 14:07 +0000
                Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-23 14:50 +0000
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-20 05:20 +0000
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-24 21:45 +1200
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-25 16:15 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-27 05:36 +0000
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-27 11:19 +0300
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-27 21:27 +1300
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-27 15:49 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-28 04:53 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-28 10:16 +0100
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-29 12:10 +0000
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-29 14:34 +0100
                Re: rational numbers Bart <bc@freeuk.com> - 2021-09-29 15:54 +0100
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-28 13:23 +0300
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-29 10:34 +1300
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-29 12:18 +0300
                Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-29 22:46 +1300
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-29 13:07 +0300
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-10-02 22:57 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-29 12:16 +0000
                Re: rational numbers Paavo Helde <myfirstname@osa.pri.ee> - 2021-09-29 20:15 +0300
                Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-30 04:46 +0000
            Re: rational numbers Ian Collins <ian-news@hotmail.com> - 2021-09-19 11:03 +1200
      Re: rational numbers Juha Nieminen <nospam@thanks.invalid> - 2021-09-19 10:12 +0000
  Re: rational numbers Siri Cruise <chine.bleu@yahoo.com> - 2021-09-23 07:38 -0700
    Re: rational numbers alessandro volturno <alessandro.volturno@libero.it> - 2021-09-24 09:45 +0200
      Re: rational numbers Branimir Maksimovic <branimir.maksimovic@gmail.com> - 2021-09-24 07:50 +0000
      Re: rational numbers David Brown <david.brown@hesbynett.no> - 2021-09-24 10:58 +0200
        Re: rational numbers Siri Cruise <chine.bleu@yahoo.com> - 2021-09-24 02:48 -0700

csiph-web