Re: Can this program be improved?

From	Manfred <noname@add.invalid>
Newsgroups	comp.lang.c
Subject	Re: Can this program be improved?
Date	2021-12-30 18:16 +0100
Organization	Aioe.org NNTP Server
Message-ID	<sqkphm$p3g$1@gioia.aioe.org> (permalink)
References	(3 earlier) <sqi72e$q7e$1@dont-email.me> <87sfub2g2t.fsf@nosuchdomain.example.com> <sqiprq$1kk$1@dont-email.me> <87o84z2bsi.fsf@nosuchdomain.example.com> <sqj0mf$532$1@dont-email.me>

Show all headers | View raw

On 12/30/2021 2:06 AM, Bart wrote:
> On 30/12/2021 00:09, Keith Thompson wrote:
>> Bart <bc@freeuk.com> writes:
> 
>>> Real-world doesn't need to mean dealing with trillions of dollars to
>>> the exact cent.
>>
>> But it can mean dealing with thousands of dollars to the exact cent --
>> and if you get a result of $1234.565001 and round it to $1234.57, when
>> the rules call for a result of $1234.56, that could be a serious problem.
> 
> With floating point, that result could as easily be just under 1234.565 
> as just over. If the requirements really are that binary floating point 
> must have exactly identical results, down to the least significant bit, 
> even for intermediates so that rounding will always give the same 
> results too, then that's what you have to do.

Yes, and that's why standard floating point is not suitable for accurate 
accounting.

IEEE 754 floating point types are designed for applications where its is 
OK to assume that all values are approximated, e.g. measurements of 
physical quantities. In this kind of environment the goal is to have 
lots of decimal digits and huge scale of representation, some 
predictable estimate of the propagation of rounding errors, and 
calculation efficiency.
The price of not being able to represent exactly the value 1% (i.e. 
0.01) is acceptable, even if this value is so common, as long as the 
goals above are achieved.

The financial world has different requirements: they want exact results 
whenever possible, and rounding errors, when impossible to avoid, are 
thoroughly regulated.
This is because balancing the books down to the exact cent is important 
to those guys.
In order to achieve this, they are willing to pay some price in terms of 
representable numbers: the whole world uses monetary amounts quantified 
down to the cent (2 decimal digits). In a similar fashion, conversion 
ratios like currency exchange rates are conventionally expressed in a 
fixed amount of significant digits (I think it's 6 or 7 digits), and the 
same is likely to hold for interest rates as well. There's some upper 
limit to the largest monetary amount to handle (e.g. the global wealth), 
and so on.
Finally, calculations need not be super fast: a monetary transaction 
involves much less computation than, say, modeling a magnetic field.

All in all, it's no surprise that the financial world uses different 
data types than floating point, like e.g. the Decimal type.

Thread

Can this program be improved? Manu Raju <MR@invalid.invalid> - 2021-12-25 01:00 +0000
  Re: Can this program be improved? Andrey Tarasevich <andreytarasevich@hotmail.com> - 2021-12-24 21:44 -0800
    Re: Can this program be improved? David Brown <david.brown@hesbynett.no> - 2021-12-25 12:56 +0100
    Re: Can this program be improved? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2021-12-25 11:13 -0800
    Re: Can this program be improved? Manfred <noname@add.invalid> - 2021-12-25 23:50 +0100
    Re: Can this program be improved? Manu Raju <MR@invalid.invalid> - 2021-12-26 18:52 +0000
      Re: Can this program be improved? Lew Pitcher <lew.pitcher@digitalfreehold.ca> - 2021-12-26 19:22 +0000
        Re: Can this program be improved? Manu Raju <MR@invalid.invalid> - 2021-12-26 21:30 +0000
          Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-26 22:02 +0000
          Re: Can this program be improved? Richard Damon <Richard@Damon-Family.org> - 2021-12-26 18:24 -0500
          Re: Can this program be improved? Lew Pitcher <lew.pitcher@digitalfreehold.ca> - 2021-12-27 00:47 +0000
    Re: Can this program be improved? Guillaume <message@bottle.org> - 2021-12-29 17:52 +0100
      Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-29 17:49 +0000
        Re: Can this program be improved? Andrey Tarasevich <andreytarasevich@hotmail.com> - 2021-12-29 11:33 -0800
          Re: Can this program be improved? James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-12-29 22:45 -0500
            Re: Can this program be improved? Andrey Tarasevich <andreytarasevich@hotmail.com> - 2021-12-30 00:35 -0800
              Re: Can this program be improved? David Brown <david.brown@hesbynett.no> - 2021-12-30 10:19 +0100
          Re: Can this program be improved? Bart <bc@freeuk.com> - 2022-01-01 18:19 +0000
            Re: Can this program be improved? Bart <bc@freeuk.com> - 2022-01-01 19:33 +0000
        Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-29 14:37 -0800
          Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-29 23:09 +0000
            Re: Can this program be improved? scott@slp53.sl.home (Scott Lurndal) - 2021-12-29 23:54 +0000
              Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-29 16:11 -0800
              Re: Can this program be improved? Kaz Kylheku <480-992-1380@kylheku.com> - 2021-12-30 00:34 +0000
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-30 12:49 +0000
                Re: Can this program be improved? Kaz Kylheku <480-992-1380@kylheku.com> - 2021-12-30 21:04 +0000
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-31 02:13 +0000
            Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-29 16:09 -0800
              Re: Can this program be improved? Kaz Kylheku <480-992-1380@kylheku.com> - 2021-12-30 00:59 +0000
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-29 17:48 -0800
                Re: Can this program be improved? Kaz Kylheku <480-992-1380@kylheku.com> - 2021-12-30 20:47 +0000
              Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-30 01:06 +0000
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-12-30 04:48 -0800
                Re: Can this program be improved? Manfred <noname@add.invalid> - 2021-12-30 18:16 +0100
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-31 02:20 +0000
                Re: Can this program be improved? Manfred <noname@add.invalid> - 2021-12-31 18:25 +0100
                Re: Can this program be improved? James Kuyper <jameskuyper@alumni.caltech.edu> - 2021-12-31 18:13 -0500
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-31 23:59 +0000
                Re: Can this program be improved? "james...@alumni.caltech.edu" <jameskuyper@alumni.caltech.edu> - 2021-12-31 16:20 -0800
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-31 16:35 -0800
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2022-01-01 00:53 +0000
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-31 20:22 -0800
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-12-31 22:04 -0800
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-01 14:59 -0800
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-02 17:22 -0800
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-02 20:49 -0800
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-03 03:09 -0800
                Re: Can this program be improved? scott@slp53.sl.home (Scott Lurndal) - 2022-01-03 16:22 +0000
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-03 14:42 -0800
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-03 14:52 -0800
                Re: Can this program be improved? gazelle@shell.xmission.com (Kenny McCormack) - 2022-01-03 22:58 +0000
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 04:27 -0800
                Re: Can this program be improved? gazelle@shell.xmission.com (Kenny McCormack) - 2022-01-04 13:39 +0000
                Re: Can this program be improved? David Brown <david.brown@hesbynett.no> - 2022-01-04 00:18 +0100
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-03 15:24 -0800
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-03 15:43 -0800
                Re: Can this program be improved? Öö Tiib <ootiib@hot.ee> - 2022-01-03 21:19 -0800
                Re: Can this program be improved? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-04 09:23 +0100
                Re: Can this program be improved? Guillaume <message@bottle.org> - 2022-01-04 18:18 +0100
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 10:35 -0800
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-04 14:07 -0800
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 15:11 -0800
                Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-01-04 15:47 -0800
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 18:30 -0800
                Re: Can this program be improved? scott@slp53.sl.home (Scott Lurndal) - 2022-01-04 23:46 +0000
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2022-01-04 18:41 +0000
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 10:52 -0800
                Re: Can this program be improved? scott@slp53.sl.home (Scott Lurndal) - 2022-01-04 19:00 +0000
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 11:15 -0800
                Re: Can this program be improved? Guillaume <message@bottle.org> - 2022-01-04 21:57 +0100
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2022-01-04 21:02 +0000
                Re: Can this program be improved? scott@slp53.sl.home (Scott Lurndal) - 2022-01-04 21:38 +0000
                Re: Can this program be improved? Manfred <noname@add.invalid> - 2022-01-04 23:01 +0100
                Re: Can this program be improved? David Brown <david.brown@hesbynett.no> - 2022-01-04 09:31 +0100
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 01:30 -0800
                Re: Can this program be improved? David Brown <david.brown@hesbynett.no> - 2022-01-04 14:55 +0100
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-04 06:21 -0800
                Re: Can this program be improved? David Brown <david.brown@hesbynett.no> - 2022-01-04 16:49 +0100
                Re: Can this program be improved? gazelle@shell.xmission.com (Kenny McCormack) - 2022-01-04 15:56 +0000
                Re: Can this program be improved? gazelle@shell.xmission.com (Kenny McCormack) - 2022-01-04 15:03 +0000
                Re: Can this program be improved? gazelle@shell.xmission.com (Kenny McCormack) - 2022-01-03 22:54 +0000
                Re: Can this program be improved? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-03 09:22 +0100
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-03 03:30 -0800
                Re: Can this program be improved? David Brown <david.brown@hesbynett.no> - 2022-01-03 17:22 +0100
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-03 08:48 -0800
                Re: Can this program be improved? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-03 18:42 +0100
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2022-01-03 17:59 +0000
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-03 11:09 -0800
                Re: Can this program be improved? Mateusz Viste <mateusz@xyz.invalid> - 2022-01-03 20:32 +0100
                Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-01-03 11:58 -0800
                Re: Can this program be improved? scott@slp53.sl.home (Scott Lurndal) - 2022-01-03 18:13 +0000
                Re: Can this program be improved? gazelle@shell.xmission.com (Kenny McCormack) - 2022-01-03 20:05 +0000
                Re: Can this program be improved? Bart <bc@freeuk.com> - 2022-01-01 16:53 +0000
          Re: Can this program be improved? Kaz Kylheku <480-992-1380@kylheku.com> - 2021-12-30 00:29 +0000
  Re: Can this program be improved? Bart <bc@freeuk.com> - 2021-12-25 12:47 +0000
    Re: Can this program be improved? Manu Raju <MR@invalid.invalid> - 2021-12-26 18:56 +0000
  Re: Can this program be improved? Lew Pitcher <lew.pitcher@digitalfreehold.ca> - 2021-12-25 17:38 +0000
    Re: Can this program be improved? Öö Tiib <ootiib@hot.ee> - 2021-12-25 10:58 -0800
      Re: Can this program be improved? Lew Pitcher <lew.pitcher@digitalfreehold.ca> - 2021-12-25 19:16 +0000
        Re: Can this program be improved? Öö Tiib <ootiib@hot.ee> - 2021-12-25 11:25 -0800
      Re: Can this program be improved? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-12-25 15:01 -0800
        Re: Can this program be improved? Lew Pitcher <lew.pitcher@digitalfreehold.ca> - 2021-12-25 23:09 +0000
          Re: Can this program be improved? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-12-25 20:56 -0800
    Re: Can this program be improved? scott@slp53.sl.home (Scott Lurndal) - 2021-12-25 19:30 +0000
      Re: Can this program be improved? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-12-25 15:50 -0800
        Re: Can this program be improved? Manu Raju <MR@invalid.invalid> - 2021-12-26 19:02 +0000
    Re: Can this program be improved? Andrey Tarasevich <andreytarasevich@hotmail.com> - 2021-12-25 11:53 -0800
    Re: Can this program be improved? Manu Raju <MR@invalid.invalid> - 2021-12-26 19:00 +0000
  Re: Can this program be improved? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2021-12-25 11:22 -0800
    Re: Can this program be improved? Manu Raju <MR@invalid.invalid> - 2021-12-26 19:01 +0000
  Re: Can this program be improved? Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-12-25 13:27 -0800
    Re: Can this program be improved? Andrey Tarasevich <andreytarasevich@hotmail.com> - 2021-12-25 16:06 -0800
  Re: Can this program be improved? Lew Pitcher <lew.pitcher@digitalfreehold.ca> - 2021-12-29 15:21 +0000

csiph-web