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Re: rational numbers

From Bart <bc@freeuk.com>
Newsgroups comp.lang.c++
Subject Re: rational numbers
Date 2021-09-22 14:32 +0100
Organization A noiseless patient Spider
Message-ID <sifb9d$pl5$1@dont-email.me> (permalink)
References (14 earlier) <siedkq$1n0a$1@gioia.aioe.org> <sieub2$trn$1@dont-email.me> <sif218$gmj$1@gioia.aioe.org> <sif2b8$oto$1@dont-email.me> <sif6tl$pjq$1@dont-email.me>

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On 22/09/2021 13:17, Alf P. Steinbach wrote:
> #include <stddef.h>     // ptrdiff_t
> #include <stdio.h>      // printf, for the final output
> using Size = ptrdiff_t;
> 
> #include <charconv>         // std::to_chars
> #include <limits>           // std::numeric_limits
> #include <string>           // std::string
> #include <stdexcept>        // std::runtime_error
> using namespace std::string_literals;
> 
> void append_to( std::string& s, const int v )
> {
>      static const int radix          = 10;
>      static const int max_int_digits = 
> std::numeric_limits<int>::digits10 + 1;
> 
>      const Size original_size = s.size();
>      s.resize( original_size + max_int_digits + 1 );     // 1 for 
> possible sign.
> 
>      using P_char = char*;
>      const P_char    buffer_start    = s.data() + original_size;
>      const P_char    buffer_end      = s.data() + s.size();
>      const std::to_chars_result tcr = std::to_chars( buffer_start, 
> buffer_end, v, radix );
>      if( tcr.ec == std::errc() ) {
>          s.resize( tcr.ptr - s.data() );
>      } else {
>          throw std::runtime_error( ""s + __func__ + " - std::to_chars 
> failed." );
>      }
> }
> 
> auto main() -> int
> {
>      const int n = 10'000'000;
>      std::string text;
>      text.reserve( 10*n );      // Avoid (most of the) repeated dynamic 
> allocations.
>      for( int i = 1; i <= n; ++i ) {
>          append_to( text, i );
>          text += ' ';
>      }
>      printf( "text.size = %d\n", int( text.size() ) );
> }
> 

This fails rextester.com (doesn't know charconv); and my 
g++/mingw/10.3.0, doesn't like converting const char to P_char.

If I use '-fpermissive' to get around that, then I get a timing of 0.56; 
more than twice as fast was my earlier time. I think about 5 times as 
fast as my dynamic code.

However, if you are going to write custom code, then I can do the same...

This is my script:

     s ::= ""          # ::= makes a mutable copy

     for i to 10 million do
         s +:= tostr(i)
         s +:= ' '
     od

     println s.len

(It uses 64-bit ints which impact the int-to-text conversion, which is 
not optimised for base-10.)

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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

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