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Groups > comp.lang.c++ > #81506
| From | Paavo Helde <myfirstname@osa.pri.ee> |
|---|---|
| Newsgroups | comp.lang.c++ |
| Subject | Re: rational numbers |
| Date | 2021-09-24 12:17 +0300 |
| Organization | A noiseless patient Spider |
| Message-ID | <sik536$nus$1@dont-email.me> (permalink) |
| References | (12 earlier) <sihaga$1j77$1@gioia.aioe.org> <sihch6$ms3$1@dont-email.me> <sihdr5$12es$1@gioia.aioe.org> <siissf$dqg$1@dont-email.me> <sijkll$m21$1@gioia.aioe.org> |
24.09.2021 07:37 Juha Nieminen kirjutas:
> Paavo Helde <myfirstname@osa.pri.ee> wrote:
>>> Preferably whatever the solution is, it shouldn't require the type
>>> to dynamically construct a string to be printed, and instead the
>>> type should get an std::ostream (or FILE*, or whatever) that it
>>> can use to directly write whatever it wants there.
>>
>> Why? Is this just because of memory overhead concerns?
>
> What is this sudden strange attitude of "efficiency doesn't matter"?
>
> This is C++ we are talking about, not Python, or JavaScript, or PHP,
> or a shell script.
>
It appears we are both concerned about efficiency. Alas, we have
drastically different opinions about where the inefficiencies lure.
Fortunately programming is strongly connected to reality, unlike some
other areas of human activity, so one can check the reality to see
what's really happening.
Here is a test program measuring the two different approaches to
streaming: (A) sending 100 million ints to std::ostream separately, and
(B) formatting them first into a huge std::string, then sending that to
std::ostream in one go. My results are here:
MSVC++ 2019 x64 Release (/O2 optimization):
Traditional streaming: 28561 ms
to_string() streaming: 2663 ms
to_string() is 10.7251 times faster than traditional streaming.
To be honest, g++ 8.3 on Linux (or more exactly, libstdc++) seems to be
much better with iostreams, but still to_string() beats iostreams:
$ g++ -Wall -O2 test5.cpp -std=c++17
$ ./a.out
Traditional streaming: 4268 ms
to_string() streaming: 2592 ms
to_string() is 1.6466 times faster than traditional streaming.
Source code:
#include <iostream>
#include <string>
#include <sstream>
#include <vector>
#include <numeric>
#include <charconv>
#include <chrono>
#include <cstdint>
class A {
public:
A();
// traditional operator<<
friend std::ostream& operator<<(std::ostream& os, const A& a);
// tostring() operator
std::string to_string() const;
private:
std::vector<int> data;
};
A::A() {
// Initialize data to something
data.resize(100000000);
std::iota(data.begin(), data.end(), 0);
}
std::ostream& operator<<(std::ostream& os, const A& a) {
for (auto& x: a.data) {
os << x << ' ';
}
return os;
}
std::string A::to_string() const {
const size_t k = 64;
char buffer[k];
std::string result;
for (auto x: data) {
auto q = std::to_chars(buffer+0, buffer+k, x, 10).ptr;
*q++ = ' ';
result.append(buffer, q-buffer);
}
return result;
}
using sclock = std::chrono::steady_clock;
std::int64_t ms(sclock::duration lapse) {
return
std::chrono::duration_cast<std::chrono::milliseconds>(lapse).count();
}
int main() {
std::ostringstream sink1, sink2;
A a;
// traditional streaming
sclock::time_point start1 = sclock::now();
sink1 << a;
sclock::time_point finish1 = sclock::now();
std::cout << "Traditional streaming: " << ms(finish1-start1) << "
ms\n";
// tostring()
sclock::time_point start2 = sclock::now();
sink2 << a.to_string();
sclock::time_point finish2 = sclock::now();
std::cout << "to_string() streaming: " << ms(finish2-start2) << "
ms\n";
double ratio = double(ms(finish1-start1))/ms(finish2-start2);
std::cout << "to_string() is " << ratio << " times " <<
(ratio>1.0 ? "faster" : "slower") << " than traditional
streaming.\n";
// Make use of the results to ensure these were not optimized away.
return int(sink1.str().size()-sink2.str().size());
}
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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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